Changeset 4964 for trunk/help
- Timestamp:
- Jun 20, 2021 9:33:41 AM (4 years ago)
- Location:
- trunk/help
- Files:
-
- 82 added
- 52 deleted
- 1 edited
Legend:
- Unmodified
- Added
- Removed
-
TabularUnified trunk/help/gsasII.html ¶
r4963 r4964 24 24 <o:DocumentProperties> 25 25 <o:Author>Von Dreele</o:Author> 26 <o:LastAuthor> Von Dreele, Robert B.</o:LastAuthor>27 <o:Revision>1 58</o:Revision>28 <o:TotalTime>45 29</o:TotalTime>26 <o:LastAuthor>Toby, Brian H.</o:LastAuthor> 27 <o:Revision>160</o:Revision> 28 <o:TotalTime>4536</o:TotalTime> 29 29 <o:Created>2011-11-28T16:49:00Z</o:Created> 30 <o:LastSaved>2021-06- 19T21:45:00Z</o:LastSaved>31 <o:Pages> 1</o:Pages>32 <o:Words> 21290</o:Words>33 <o:Characters> 121354</o:Characters>30 <o:LastSaved>2021-06-20T13:59:00Z</o:LastSaved> 31 <o:Pages>24</o:Pages> 32 <o:Words>8410</o:Words> 33 <o:Characters>47938</o:Characters> 34 34 <o:Company>Argonne National Laboratory</o:Company> 35 <o:Lines> 1011</o:Lines>36 <o:Paragraphs> 284</o:Paragraphs>37 <o:CharactersWithSpaces> 142360</o:CharactersWithSpaces>35 <o:Lines>399</o:Lines> 36 <o:Paragraphs>112</o:Paragraphs> 37 <o:CharactersWithSpaces>56236</o:CharactersWithSpaces> 38 38 <o:Version>16.00</o:Version> 39 39 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1292 1309 font-family:"Times New Roman",serif; 1293 1310 mso-fareast-font-family:"Times New Roman";} 1311 span.SpellE 1312 {mso-style-name:""; 1313 mso-spl-e:yes;} 1314 span.GramE 1315 {mso-style-name:""; 1316 mso-gram-e:yes;} 1294 1317 .MsoChpDefault 1295 1318 {mso-style-type:export-only; … … 2833 2856 <link href=gsasIIfav.png rel="SHORTCUT ICON"> 2834 2857 <!--[if gte mso 9]><xml> 2835 <o:shapedefaults v:ext="edit" spidmax="102 9"/>2858 <o:shapedefaults v:ext="edit" spidmax="1027"/> 2836 2859 </xml><![endif]--><!--[if gte mso 9]><xml> 2837 2860 <o:shapelayout v:ext="edit"> … … 2865 2888 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> 2866 2889 <o:lock v:ext="edit" aspectratio="t"/> 2867 </v:shapetype><v:shape id="Picture_x0020_2" o:spid="_x0000_s102 8" type="#_x0000_t75"2890 </v:shapetype><v:shape id="Picture_x0020_2" o:spid="_x0000_s1026" type="#_x0000_t75" 2868 2891 alt="Description: GSAS-II logo" style='position:absolute;margin-left:44.8pt; 2869 2892 margin-top:0;width:96pt;height:96pt;z-index:251657728;visibility:visible; … … 2876 2899 <v:imagedata src="gsas2logo.png"/> 2877 2900 <w:wrap type="square" anchory="line"/> 2878 </v:shape><![endif]--><![if !vml]><img width= 128 height=128src=gsas2logo.png2901 </v:shape><![endif]--><![if !vml]><img width=96 height=96 src=gsas2logo.png 2879 2902 align=right alt="Description: GSAS-II logo" v:shapes="Picture_x0020_2"><![endif]><span 2880 2903 style='mso-fareast-font-family:"Times New Roman"'>Help for GSAS-II<o:p></o:p></span></h1> … … 2892 2915 2893 2916 <h2><a name=Index><span style='mso-fareast-font-family:"Times New Roman"'>Help 2894 Index</span></a><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h2> 2895 2896 <ol start=1 type=1> 2897 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 2898 mso-list:l15 level1 lfo1;tab-stops:list .5in'><span style='mso-fareast-font-family: 2899 "Times New Roman"'><a href="#Tutorials">Learning GSAS-II: tutorials</a><o:p></o:p></span></li> 2900 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 2901 mso-list:l15 level1 lfo1;tab-stops:list .5in'><span style='mso-fareast-font-family: 2902 "Times New Roman"'><a href="#Data_tree">Application windows</a><o:p></o:p></span></li> 2903 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 2904 mso-list:l15 level1 lfo1;tab-stops:list .5in'><span style='mso-fareast-font-family: 2905 "Times New Roman"'><a href="#main_menu">Main menu commands</a><o:p></o:p></span></li> 2906 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 2907 mso-list:l15 level1 lfo1;tab-stops:list .5in'><span style='mso-fareast-font-family: 2908 "Times New Roman"'>Data Tree headings, graphics windows and menu commands<o:p></o:p></span></li> 2909 <ol start=1 type=A> 2910 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2911 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2912 style='mso-fareast-font-family:"Times New Roman"'><a 2913 href="#Data_tree_items">Top-level </a>Data Tree headings<o:p></o:p></span></li> 2914 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2915 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2916 style='mso-fareast-font-family:"Times New Roman"'><a href="#Phase">Phase </a>Data 2917 Tree headings<o:p></o:p></span></li> 2918 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2919 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2920 style='mso-fareast-font-family:"Times New Roman"'><a href="#IMG">Image 2921 (IMG) </a>Data Tree headings<o:p></o:p></span></li> 2922 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2923 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2924 style='mso-fareast-font-family:"Times New Roman"'><a href="#PWDR">Powder 2925 histogram (PWDR) </a>Data Tree headings<o:p></o:p></span></li> 2926 <ul type=square> 2927 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2928 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2929 style='mso-fareast-font-family:"Times New Roman"'><a 2930 href="#PWDR_Comments">Comments</a><o:p></o:p></span></li> 2931 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2932 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2933 style='mso-fareast-font-family:"Times New Roman"'><a href="#PWDR_Limits">Limits</a><o:p></o:p></span></li> 2934 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2935 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2936 style='mso-fareast-font-family:"Times New Roman"'><a 2937 href="#PWDR_Background">Background</a><o:p></o:p></span></li> 2938 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2939 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2940 style='mso-fareast-font-family:"Times New Roman"'><a 2941 href="#PWDR_Instrument_Parameters">Instrument Parameters</a><o:p></o:p></span></li> 2942 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2943 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2944 style='mso-fareast-font-family:"Times New Roman"'><a 2945 href="#PWDR_Sample_Parameters">Sample Parameters</a><o:p></o:p></span></li> 2946 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2947 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2948 style='mso-fareast-font-family:"Times New Roman"'><a 2949 href="#PWDR_Peak_List">Peak List</a><o:p></o:p></span></li> 2950 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2951 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2952 style='mso-fareast-font-family:"Times New Roman"'><a 2953 href="#PWDR_Index_Peak_List">Index Peak List</a><o:p></o:p></span></li> 2954 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2955 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2956 style='mso-fareast-font-family:"Times New Roman"'><a 2957 href="#PWDR_Unit_Cells_List">Unit Cells List</a><o:p></o:p></span></li> 2958 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2959 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2960 style='mso-fareast-font-family:"Times New Roman"'><a 2961 href="#PWDR_Reflection_Lists">Reflection Lists</a><o:p></o:p></span></li> 2962 </ul> 2963 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2964 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2965 style='mso-fareast-font-family:"Times New Roman"'><a href="#HKLF">Single 2966 Crystal histogram (HKLF)</a> Data Tree headings<o:p></o:p></span></li> 2967 <ul type=square> 2968 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2969 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2970 style='mso-fareast-font-family:"Times New Roman"'><a 2971 href="#HKLF_Instrument_Parameters">Instrument Parameters</a><o:p></o:p></span></li> 2972 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2973 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2974 style='mso-fareast-font-family:"Times New Roman"'><a 2975 href="#HKLF_HKL_Plot_Controls">HKL Plot Controls</a><o:p></o:p></span></li> 2976 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2977 auto;mso-list:l15 level3 lfo1;tab-stops:list 1.5in'><span 2978 style='mso-fareast-font-family:"Times New Roman"'><a 2979 href="#HKLF_Reflection_List">Reflection List</a><o:p></o:p></span></li> 2980 </ul> 2981 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2982 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2983 style='mso-fareast-font-family:"Times New Roman"'><a href="#PDF">Pair 2984 Distribution Functions (PDF) </a>Data Tree headings<o:p></o:p></span></li> 2985 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2986 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2987 style='mso-fareast-font-family:"Times New Roman"'><a href="#PKS">Powder 2988 Peaks (PKS) </a>Data Tree headings<o:p></o:p></span></li> 2989 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt: 2990 auto;mso-list:l15 level2 lfo1;tab-stops:list 1.0in'><span 2991 style='mso-fareast-font-family:"Times New Roman"'><a href="#SASD">Small 2992 Angle Scattering (SASD) </a>Data Tree headings<o:p></o:p></span></li> 2993 </ol> 2994 <li class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 2995 mso-list:l15 level1 lfo1;tab-stops:list .5in'><span style='mso-fareast-font-family: 2996 "Times New Roman"'>Other: <a href="#Mac">Macintosh notes</a>, <a 2997 href="#Preferences">Configuration options</a> and <a href="#Programmers">Programmers 2998 documentation</a> <o:p></o:p></span></li> 2999 </ol> 3000 3001 <h2><a name=Tutorials><strong><span style='mso-fareast-font-family:"Times New Roman"'>Learning 3002 GSAS-II: Tutorials</span></strong></a><span style='mso-bookmark:Tutorials'></span><span 3003 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h2> 3004 3005 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3006 "Times New Roman"'>The best way to learn about how different sections of 3007 GSAS-II is used is to work through tutorials. A list of available tutorial 3008 topics appears on a <a href="Tutorials.html">separate web page</a>. <o:p></o:p></span></p> 2917 Index</span></a><span style='mso-fareast-font-family:"Times New Roman"'> <o:p></o:p></span></h2> 2918 2919 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 2920 "Times New Roman"'>[<a href="gsasII-index.html">see separate page</a>]<o:p></o:p></span></p> 3009 2921 3010 2922 <div class=MsoNormal align=center style='text-align:center'><span 3011 style='mso-fareast-font-family:"Times New Roman" '>3012 3013 <hr size= 2width="100%" align=center>2923 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 2924 2925 <hr size=3 width="100%" align=center> 3014 2926 3015 2927 </span></div> 3016 2928 3017 2929 <div class=MsoNormal align=center style='text-align:center'><span 3018 style='mso-fareast-font-family:"Times New Roman" '>3019 3020 <hr size= 2width="100%" align=center>2930 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 2931 2932 <hr size=3 width="100%" align=center> 3021 2933 3022 2934 </span></div> 3023 2935 3024 <h2><a name="Data_tree"><span style='mso-fareast-font-family:"Times New Roman"'>1. 3025 GSAS-II Data Tree</span></a><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h2> 2936 <h2><a name="Data_tree"></a><a name=Tutorials><span style='mso-bookmark:Data_tree'><strong><span 2937 style='mso-fareast-font-family:"Times New Roman"'>Learning GSAS-II: Tutorials</span></strong></span></a><span 2938 style='mso-bookmark:Tutorials'></span><span style='mso-bookmark:Data_tree'><span 2939 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></span></h2> 2940 2941 <p class=MsoNormal style='margin-left:.5in'><span style='mso-bookmark:Data_tree'><span 2942 style='mso-fareast-font-family:"Times New Roman"'>The best way to learn about 2943 how different sections of GSAS-II is used is to work through tutorials. A list 2944 of available tutorial topics appears on a </span></span><a href="Tutorials.html"><span 2945 style='mso-bookmark:Data_tree'><span style='mso-fareast-font-family:"Times New Roman"'>separate 2946 web page</span></span><span style='mso-bookmark:Data_tree'></span></a><span 2947 style='mso-bookmark:Data_tree'><span style='mso-fareast-font-family:"Times New Roman"'>. 2948 <o:p></o:p></span></span></p> 2949 2950 <h2><span style='mso-bookmark:Data_tree'><span style='mso-fareast-font-family: 2951 "Times New Roman"'>1. GSAS-II Data Tree</span></span><span style='mso-fareast-font-family: 2952 "Times New Roman"'><o:p></o:p></span></h2> 3026 2953 3027 2954 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3028 2955 "Times New Roman"'>The data tree shows contents of a GSAS-II project (which can 3029 be read or saved as a . gpx file) in a hierarchical view. Clicking on any item3030 in the tree opens that information on the right side of the window in the3031 "Data Editing" section, where information in that item can be viewed 3032 or edited. For example, the <a href="#PWDR_Sample_Parameters">"Sample 3033 Parameters"</a> item under a ‘PWDR’ entry contains information about how 3034 data were collected, such as the sample temperature <a 3035 href="#PWDR_Sample_Parameters">(see below)</a>. The arrow keys (up & down) 3036 move the selection to successive entries in the data tree; both the data window 3037 and the associated plot (if any) will change.<o:p></o:p></span></p>2956 be read or saved as a .<span class=SpellE>gpx</span> file) in a hierarchical 2957 view. Clicking on any item in the tree opens that information on the right side 2958 of the window in the "Data Editing" section, where information in 2959 that item can be viewed or edited. For example, the <a 2960 href="gsasII-pwdr.html#PWDR_Sample_Parameters">"Sample Parameters"</a> item under a 2961 ‘PWDR’ entry contains information about how data were collected, such as the 2962 sample temperature <a href="gsasII-pwdr.html#PWDR_Sample_Parameters">(see below)</a>. The arrow 2963 keys (up & down) move the selection to successive entries in the data tree; 2964 both the data window and the associated plot (if any) will change.<o:p></o:p></span></p> 3038 2965 3039 2966 <h4 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What … … 3047 2974 3048 2975 <div class=MsoNormal align=center style='text-align:center'><span 3049 style='mso-fareast-font-family:"Times New Roman" '>3050 3051 <hr size= 2width="100%" align=center>2976 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 2977 2978 <hr size=3 width="100%" align=center> 3052 2979 3053 2980 </span></div> 3054 2981 3055 2982 <div class=MsoNormal align=center style='text-align:center'><span 3056 style='mso-fareast-font-family:"Times New Roman" '>3057 3058 <hr size= 2width="100%" align=center>2983 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 2984 2985 <hr size=3 width="100%" align=center> 3059 2986 3060 2987 </span></div> … … 3072 2999 3073 3000 <div class=MsoNormal align=center style='text-align:center'><span 3074 style='mso-fareast-font-family:"Times New Roman" '>3075 3076 <hr size= 2width="100%" align=center>3001 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 3002 3003 <hr size=3 width="100%" align=center> 3077 3004 3078 3005 </span></div> 3079 3006 3080 3007 <div class=MsoNormal align=center style='text-align:center'><span 3081 style='mso-fareast-font-family:"Times New Roman" '>3082 3083 <hr size= 2width="100%" align=center>3008 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 3009 3010 <hr size=3 width="100%" align=center> 3084 3011 3085 3012 </span></div> … … 3089 3016 3090 3017 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3091 "Times New Roman"'>This window presents all the graphical material as a 3092 multipage tabbed set of plots utilizing the matplotlib python package. Each 3093 page has a tool with the controls</span><span class=MsoHyperlink><span 3094 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></p>3018 "Times New Roman"'>This window presents all the graphical material as a multipage 3019 tabbed set of plots utilizing the matplotlib python package. Each page has a 3020 tool with the controls</span><span class=MsoHyperlink><span style='color:windowtext; 3021 text-decoration:none;text-underline:none'><o:p></o:p></span></span></p> 3095 3022 3096 3023 <p class=MsoNormal style='margin-left:.5in'><span style='mso-no-proof:yes'><img 3097 border=0 width=727 height=55 id="_x0000_i10 44" src=graphbar.jpg3024 border=0 width=727 height=55 id="_x0000_i1037" src=graphbar.jpg 3098 3025 alt="toolbar on plots"></span></p> 3099 3026 … … 3103 3030 normal'>Back</b>, <b style='mso-bidi-font-weight:normal'>Forward</b>, <b 3104 3031 style='mso-bidi-font-weight:normal'>Pan</b>, <b style='mso-bidi-font-weight: 3105 normal'>Zoom</b>, <b>Resize plot</b>, <b style='mso-bidi-font-weight:normal'>Save</b>, 3106 <b>Key Press</b> and <b style='mso-bidi-font-weight:normal'>Help</b>, 3107 respectively and are described below. The remainder (yellow arrows) move or 3108 rescale the plot. Note that <b>Resize plot</b> is removed from the toolbar 3109 where matplotlib allows this and should not be used. <span class=MsoHyperlink><span 3110 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 3032 normal'>Zoom</b>, <span class=GramE><b>Resize</b></span><b> plot</b>, <b 3033 style='mso-bidi-font-weight:normal'>Save</b>, <b>Key Press</b> and <b 3034 style='mso-bidi-font-weight:normal'>Help</b>, respectively and are described 3035 below. The remainder (yellow arrows) move or rescale the plot. Note that <b>Resize 3036 plot</b> is removed from the toolbar where matplotlib allows this and should 3037 not be used. <span class=MsoHyperlink><span style='color:windowtext;text-decoration: 3038 none;text-underline:none'><o:p></o:p></span></span></span></p> 3111 3039 3112 3040 <p class=MsoNormal style='margin-left:.5in'><b><span style='mso-fareast-font-family: … … 3191 3119 3192 3120 <p class=MsoNormal style='margin-left:.5in'><b><span style='mso-fareast-font-family: 3193 "Times New Roman"'>{less than}+{greater than}</span></b><span style='mso-fareast-font-family:3194 "Times New Roman"'><o:p></o:p></span></p>3121 "Times New Roman"'>{less <span class=GramE>than}+</span>{greater than}</span></b><span 3122 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 3195 3123 3196 3124 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3199 3127 3200 3128 <p class=MsoNormal style='margin-left:.5in'><b><span style='mso-fareast-font-family: 3201 "Times New Roman"'>{greater than}+{less than}</span></b><span style='mso-fareast-font-family:3202 "Times New Roman"'><o:p></o:p></span></p>3129 "Times New Roman"'>{greater <span class=GramE>than}+</span>{less than}</span></b><span 3130 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 3203 3131 3204 3132 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3207 3135 3208 3136 <p class=MsoNormal style='margin-left:.5in'><b><span style='mso-fareast-font-family: 3209 "Times New Roman"'>{up arrow} /{down arrow}</span></b><span style='mso-fareast-font-family:3210 "Times New Roman"'><o:p></o:p></span></p>3137 "Times New Roman"'>{up arrow}<span class=GramE>/{</span>down arrow}</span></b><span 3138 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 3211 3139 3212 3140 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3215 3143 3216 3144 <p class=MsoNormal style='margin-left:.5in'><b><span style='mso-fareast-font-family: 3217 "Times New Roman"'>{down arrow} /{up arrow}</span></b><span style='mso-fareast-font-family:3218 "Times New Roman"'><o:p></o:p></span></p>3145 "Times New Roman"'>{down arrow}<span class=GramE>/{</span>up arrow}</span></b><span 3146 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 3219 3147 3220 3148 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3223 3151 3224 3152 <p class=MsoNormal style='margin-left:.5in'>Below the toolbar may be a status 3225 bar that on the left may show either an instruction for a keyed input or a pull 3226 down selection of keyed input; on the right may be displayed position dependent 3227 information that is updated as the mouse is moved over the plot region.</p> 3153 bar that on the left may show either an instruction for a keyed input or a <span 3154 class=GramE>pull down</span> selection of keyed input; on the right may be 3155 displayed position dependent information that is updated as the mouse is moved 3156 over the plot region.</p> 3228 3157 3229 3158 <div class=MsoNormal align=center style='text-align:center'><span 3230 style='mso-fareast-font-family:"Times New Roman" '>3231 3232 <hr size= 2width="100%" align=center>3159 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 3160 3161 <hr size=3 width="100%" align=center> 3233 3162 3234 3163 </span></div> 3235 3164 3236 3165 <div class=MsoNormal align=center style='text-align:center'><span 3237 style='mso-fareast-font-family:"Times New Roman" '>3238 3239 <hr size= 2width="100%" align=center>3166 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 3167 3168 <hr size=3 width="100%" align=center> 3240 3169 3241 3170 </span></div> … … 3247 3176 margin-left:.7in;text-indent:-.25in;mso-list:l9 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span 3248 3177 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 3249 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3250 style='mso-fareast-font-family:"Times New Roman"'>Menu <b>File</b> <o:p></o:p></span></p> 3178 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3179 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Menu <b>File</b> 3180 <o:p></o:p></span></p> 3251 3181 3252 3182 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3255 3185 3256 3186 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3257 "Times New Roman"'>Open a previously saved GSAS-II project file ({project}. gpx).3258 If you currently have a project file open, you are asked if it is OK to 3259 overwrite it; Cancel will cancel the read process. <o:p></o:p></span></p>3187 "Times New Roman"'>Open a previously saved GSAS-II project file ({project}.<span 3188 class=SpellE>gpx</span>). If you currently have a project file open, you are 3189 asked if it is OK to overwrite it; Cancel will cancel the read process. <o:p></o:p></span></p> 3260 3190 3261 3191 <p style='margin-left:.5in'>Note that as files are saved, copies of the 3262 previous version are saved as backup files, named as {project}.bak{<i>i</i>}.gpx, 3263 where <i>i</i> starts as 0 and is increased after each save operation. NB: you 3264 may open a backup .gpx file (e.g. name.bak3.gpx) to return to a previous 3192 previous version are saved as backup files, named as {project}.<span 3193 class=SpellE>bak</span>{<span class=SpellE><i>i</i></span>}.<span class=SpellE>gpx</span>, 3194 where <span class=SpellE><i>i</i></span> starts as 0 and is increased after 3195 each save operation. NB: you may open a backup .<span class=SpellE>gpx</span> 3196 file (<span class=GramE>e.g.</span> name.bak3.gpx) to return to a previous 3265 3197 version of your project, but if you do so, it is best to immediately use the <b'>Save 3266 As... menu command (you may wish to use name.gpx to overwrite the current3267 version or select a new name.) If you forget specify a project name, then3268 name.bak3 will be considered the project name and backups will then be named3269 name.bak3.bak0.gpx, etc.</p>3198 As... menu command (you may wish to use <span class=SpellE>name.gpx</span> to 3199 overwrite the current version or select a new name.) If you forget <span 3200 class=GramE>specify</span> a project name, then name.bak3 will be considered 3201 the project name and backups will then be named name.bak3.bak0.gpx, etc.</p> 3270 3202 3271 3203 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3319 3251 margin-left:.7in;text-indent:-.25in;mso-list:l9 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span 3320 3252 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 3321 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3322 style='mso-fareast-font-family:"Times New Roman"'>Menu <b>Data</b> <o:p></o:p></span></p> 3253 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3254 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Menu <b>Data</b> 3255 <o:p></o:p></span></p> 3323 3256 3324 3257 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3363 3296 the space group symbol and then the lattice parameters. <br> 3364 3297 Note that nonstandard space group symbols are permitted; space group names must 3365 have spaces between the axial fields (e.g. use ‘P n a 21’ not ‘Pna21’). <o:p></o:p></span></p> 3298 have spaces between the axial fields (<span class=GramE>e.g.</span> use ‘P n a 3299 21’ not ‘Pna21’). <o:p></o:p></span></p> 3366 3300 3367 3301 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3379 3313 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3380 3314 "Times New Roman"'>Rename a histogram entry. This should only be done before 3381 the histogram is used in any phases: e.g. only rename data immediately after3382 reading. <o:p></o:p></span></p>3315 the histogram is used in any phases: <span class=GramE>e.g.</span> only rename 3316 data immediately after reading. <o:p></o:p></span></p> 3383 3317 3384 3318 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3388 3322 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3389 3323 "Times New Roman"'>This will remove an item from the data tree. A dialog box 3390 with a list of choices for histograms is presented. Be sure to remove a 3391 histograms from all phases before deleting it from the tree. <o:p></o:p></span></p> 3324 with a list of choices for histograms is presented. Be sure to remove a <span 3325 class=GramE>histograms</span> from all phases before deleting it from the tree. 3326 <o:p></o:p></span></p> 3392 3327 3393 3328 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3410 3345 margin-left:.7in;text-indent:-.25in;mso-list:l9 level1 lfo2;tab-stops:list .5in'><![if !supportLists]><span 3411 3346 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 3412 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span3413 style='mso-fareast-font-family:"Times New Roman"'>Menu <a name="Calculate_menu"><b>Calculate</b></a> 3414 <o:p></o:p></span></p>3347 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3348 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Menu <a 3349 name="Calculate_menu"><b>Calculate</b></a> <o:p></o:p></span></p> 3415 3350 3416 3351 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3425 3360 3426 3361 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: 3427 "Times New Roman"'>View LS parms</span></b><span style='mso-fareast-font-family:3428 "Times New Roman"'> <o:p></o:p></span></p>3362 "Times New Roman"'>View LS <span class=SpellE>parms</span></span></b><span 3363 style='mso-fareast-font-family:"Times New Roman"'> <o:p></o:p></span></p> 3429 3364 3430 3365 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3431 3366 "Times New Roman"'>This shows a dialog box with all the parameters for your 3432 3367 project; those to be refined are flagged ‘True’, otherwise ‘False’. Blanks 3433 indicate parameters that are not refinable. The total number of refined parameters3434 is also shown at the top of the list. The value of each parameter is also 3435 given. The parameter names are of the form ‘p:h:name:id’ where ‘p’ is the phase 3436 index, ‘h’ is the histogram index and ‘id’ is the item index (if needed). 3437 Indexes all begin with ‘0’ (zero). <o:p></o:p></span></p>3368 indicate parameters that are not refinable. The total number of refined 3369 parameters is also shown at the top of the list. The value of each parameter is 3370 also given. The parameter names are of the form ‘<span class=SpellE>p:h:name:id</span>’ 3371 where ‘p’ is the phase index, ‘h’ is the histogram index and ‘id’ is the item 3372 index (if needed). Indexes all begin with ‘0’ (zero). <o:p></o:p></span></p> 3438 3373 3439 3374 <p style='margin-left:.5in'>Note that for atom positions, the coordinate values 3440 (named as ‘p::A<i>w</i>:n’, where p is the phase number, n is the atom number 3441 and <i>w</i> is x, y or z) is not a refinable parameter, but the shift in the 3442 value is. The refined parameters are ‘p::A<i>w</i>:n’. The reason this is done 3443 is that by treating an atom position as x+dx,y+dy,z+dz where the “d” values 3444 indicate shifts from the starting position and the shifts are refined rather 3445 than the x,y, or z values is that this simplifies symmetry constraints. As an example, 3446 suppose we have an atom on a symmetry constrained site, x,1/2-x,z. The process 3447 needed to define this constraint, so that if x moves positively y has to move 3448 negatively by the same amount would be messy. With refinement of shifts, all we 3449 need to do is constrain dy (‘0::dAy:n’) to be equal to -dx (-1*‘0::dAx:n’). </p> 3375 (named as ‘<span class=GramE>p::</span><span class=SpellE>A<i>w</i>:n</span>’, 3376 where p is the phase number, n is the atom number and <i>w</i> is x, y or z) is 3377 not a refinable parameter, but the shift in the value is. The refined 3378 parameters are ‘<span class=GramE>p::</span><span class=SpellE>A<i>w</i>:n</span>’. 3379 The reason this is done is that by treating an atom position as <span 3380 class=SpellE>x+<span class=GramE>dx,y</span>+dy,z+dz</span> where the “d” 3381 values indicate shifts from the starting position and the shifts are refined 3382 rather than the <span class=SpellE>x,y</span>, or z values is that this 3383 simplifies symmetry constraints. As an example, suppose we have an atom on a 3384 symmetry constrained site, x,1/2-<span class=GramE>x,z.</span> The process 3385 needed to define this constraint, so that if x moves positively y <span 3386 class=GramE>has to</span> move negatively by the same amount would be messy. 3387 With refinement of shifts, all we need to do is constrain <span class=SpellE>dy</span> 3388 (‘<span class=GramE>0::</span><span class=SpellE>dAy:n</span>’) to be equal to 3389 -dx (-1*‘0::<span class=SpellE>dAx:n</span>’). </p> 3450 3390 3451 3391 <p style='margin-left:.5in'>Press the window exit button to exit this dialog … … 3477 3417 <p style='margin-left:.5in'>GSAS-II uses separate routines to read in 3478 3418 information from external files that can be created and customized easily. See 3479 the GSAS-II Import Modules section of the <a href="#Programmers"><s trong>Programmers3480 documentation</strong></a> for more information on this. Since it is easy to 3481 support new formats, the documentation below may not list all supported 3482 formats. </p>3419 the GSAS-II Import Modules section of the <a href="#Programmers"><span 3420 class=GramE><strong>Programmers</strong></span><strong> documentation</strong></a> 3421 for more information on this. Since it is easy to support new formats, the 3422 documentation below may not list all supported formats. </p> 3483 3423 3484 3424 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3492 3432 are available. Any of these files can be accessed from a zip file. GSAS-II can 3493 3433 read many different image file formats including MAR345 files, Quantum ADSC 3494 files, and tiff files from Perkin-Elmer, Pilatus, and GE. Although many of 3495 these formats have data fields that should contain relevant information for the 3496 exposure (e.g. wavelength), these are rarely filled in correctly by the data 3497 acquisition software. Thus, you should have separately noted this information 3498 as it will be needed <o:p></o:p></span></p> 3434 files, and tiff files from <span class=GramE>Perkin-Elmer</span>, Pilatus, and 3435 GE. Although many of these formats have data fields that should contain 3436 relevant information for the exposure (<span class=GramE>e.g.</span> 3437 wavelength), these are rarely filled in correctly by the data acquisition 3438 software. Thus, you should have separately noted this information as it will be 3439 needed <o:p></o:p></span></p> 3499 3440 3500 3441 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3504 3445 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3505 3446 "Times New Roman"'>Creates a new phase by reading unit cell/symmetry/atom 3506 coordinate information. GSAS-II can read information from a number of different 3507 format files including: <o:p></o:p></span></p> 3508 3509 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3510 "Times New Roman"'>GSAS .EXP <o:p></o:p></span></p> 3511 3512 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3513 "Times New Roman"'>This reads one phase from a (old) GSAS experiment file 3514 (name.EXP). The file name is found in a directory dialog; you can change 3515 directories as needed. Only .EXP (or .exp) file names are shown. If the 3516 selected file has more than one phase, a dialog is shown with the choices; only 3517 one can be chosen. If you want more than one, redo this command. After 3518 selecting a phase, a dialog box is shown with the proposed phase name. You can 3519 change it if desired. <o:p></o:p></span></p> 3447 coordinate information. GSAS-II can read information from <span class=GramE>a 3448 number of</span> different format files including: <o:p></o:p></span></p> 3449 3450 <p class=MsoNormal style='margin-left:.5in'><span class=GramE><span 3451 style='mso-fareast-font-family:"Times New Roman"'>GSAS .EXP</span></span><span 3452 style='mso-fareast-font-family:"Times New Roman"'> <o:p></o:p></span></p> 3453 3454 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3455 "Times New Roman"'>This reads one phase from a (old) GSAS experiment file (<span 3456 class=SpellE>name.EXP</span>). The file name is found in a directory dialog; 3457 you can change directories as needed. <span class=GramE>Only .EXP</span> (or 3458 .exp) file names are shown. If the selected file has more than one phase, a 3459 dialog is shown with the <span class=GramE>choices;</span> only one can be 3460 chosen. If you want more than one, redo this command. After selecting a phase, 3461 a dialog box is shown with the proposed phase name. You can change it if 3462 desired. <o:p></o:p></span></p> 3520 3463 3521 3464 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3524 3467 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3525 3468 "Times New Roman"'>This reads the macromolecular phase information from a 3526 Protein Data Base file (name.PDB or name.ENT). The file name is found in a 3527 directory dialog; you can change directories as needed. Only .PDB (or .pdb) or 3528 .ENT (or .ent) file names are shown. Be careful that the space group symbol on 3529 the ‘CRYST1’ record in the PDB file follows the GSAS-II conventions (e.g. with 3530 spaces between axial fields). A dialog box is shown with the proposed phase 3531 name. You can change it if desired. <o:p></o:p></span></p> 3469 Protein Data Base file (name.PDB or <span class=SpellE>name.ENT</span>). The 3470 file name is found in a directory dialog; you can change directories as needed. 3471 Only .PDB (or .<span class=SpellE>pdb</span>) <span class=GramE>or .ENT</span> 3472 (or .<span class=SpellE>ent</span>) file names are shown. Be careful that the 3473 space group symbol on the ‘CRYST1’ record in the PDB file follows the GSAS-II 3474 conventions (<span class=GramE>e.g.</span> with spaces between axial fields). A 3475 dialog box is shown with the proposed phase name. You can change it if desired. 3476 <o:p></o:p></span></p> 3532 3477 3533 3478 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3536 3481 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3537 3482 "Times New Roman"'>This reads one phase from a Crystallographic Information 3538 File ({name}.CIF (or .cif). The file name is found in a directory dialog; you 3539 can change directories as needed. If the selected file has more than one phase, 3540 a dialog is shown with the choices; only one can be chosen. If you want more 3483 File ({name<span class=GramE>}.CIF</span> (or .<span class=SpellE>cif</span>). 3484 The file name is found in a directory dialog; you can change directories as 3485 needed. If the selected file has more than one phase, a dialog is shown with 3486 the <span class=GramE>choices;</span> only one can be chosen. If you want more 3541 3487 than one, redo this command. After selecting a phase, a dialog box is shown 3542 3488 with the proposed phase name. You can change it if desired. <o:p></o:p></span></p> 3543 3489 3544 3490 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3545 "Times New Roman"'>GSAS-II . gpxfile <o:p></o:p></span></p>3546 3547 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3548 "Times New Roman"'>This reads one phase from a GSAS-II project file 3549 ({name}.gpx). The file name is found in a directory dialog; you can change 3550 directories as needed. If the selected file has more than one phase, a dialog 3551 is shown with the choices; If you want more than one, redo this command. After 3552 selecting a phase, a dialog box is shown with the proposed phase name. You can 3553 change it if desired. <o:p></o:p></span></p>3491 "Times New Roman"'>GSAS-II .<span class=SpellE>gpx</span> file <o:p></o:p></span></p> 3492 3493 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3494 "Times New Roman"'>This reads one phase from a GSAS-II project file ({name}.<span 3495 class=SpellE>gpx</span>). The file name is found in a directory dialog; you can 3496 change directories as needed. If the selected file has more than one phase, a 3497 dialog is shown with the choices; If you want more than one, redo this command. 3498 After selecting a phase, a dialog box is shown with the proposed phase name. 3499 You can change it if desired. <o:p></o:p></span></p> 3554 3500 3555 3501 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3571 3517 needed for processing a powder diffraction data set, such as data type, 3572 3518 calibration constants (such as wavelength) and default profile parameters are 3573 read from a separate file, either a (old) GSAS instrument parameter file 3574 (usually .prm, .ins or .inst extension) or a new GSAS-II .instparm file. <o:p></o:p></span></p> 3519 read from a separate file, either a (old) GSAS instrument parameter file (<span 3520 class=GramE>usually .<span class=SpellE>prm</span></span>, .ins or .<span 3521 class=SpellE>inst</span> extension) or a new GSAS-II .<span class=SpellE>instparm</span> 3522 file. <o:p></o:p></span></p> 3575 3523 3576 3524 <p style='margin-left:.5in'>Note that it is possible to apply corrections to 3577 3525 the 2-theta, intensity or weight values by adding a Python command(s) to the 3578 instrument (.instprm) parameter with a variable named CorrectionCode. See the <tt><span 3579 style='font-size:10.0pt'>CorrectionCode.instprm.sample</span></tt> file 3580 provided in the GSAS-II source directory for an example of how this is done. </p> 3526 instrument <span class=GramE>(.<span class=SpellE>instprm</span></span>) 3527 parameter with a variable named <span class=SpellE>CorrectionCode</span>. See 3528 the <span class=SpellE><tt><span style='font-size:10.0pt'>CorrectionCode.instprm.sample</span></tt></span> 3529 file provided in the GSAS-II source directory for an example of how this is 3530 done. </p> 3581 3531 3582 3532 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3585 3535 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3586 3536 "Times New Roman"'>This reads one powder pattern (histogram) from a 3587 Crystallographic Information File ({name}.CIF). The file name is found in a 3588 directory dialog; you can change directories as needed. Only one .cif can be 3589 chosen. If you want more than one, redo this command. <o:p></o:p></span></p> 3590 3591 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3592 "Times New Roman"'>GSAS-II .gpx file <o:p></o:p></span></p> 3537 Crystallographic Information File ({name<span class=GramE>}.CIF</span>). The 3538 file name is found in a directory dialog; you can change directories as needed. 3539 Only <span class=GramE>one .<span class=SpellE>cif</span></span> can be chosen. 3540 If you want more than one, redo this command. <o:p></o:p></span></p> 3541 3542 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3543 "Times New Roman"'>GSAS-II .<span class=SpellE>gpx</span> file <o:p></o:p></span></p> 3593 3544 3594 3545 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3595 3546 "Times New Roman"'>This reads powder patterns from a previously created GSAS-II 3596 gpx project file. If the selected file has more than one powder pattern, a 3597 dialog is shown with the choices; one or more can be selected. It will ask for 3598 an appropriate instrument parameter file to go with the selected powder data 3599 sets. <o:p></o:p></span></p>3600 3601 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3602 "Times New Roman"'>GSAS . fxyefiles <o:p></o:p></span></p>3547 <span class=SpellE>gpx</span> project file. If the selected file has more than 3548 one powder pattern, a dialog is shown with the choices; one or more can be 3549 selected. It will ask for an appropriate instrument parameter file to go with 3550 the selected powder data sets. <o:p></o:p></span></p> 3551 3552 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3553 "Times New Roman"'>GSAS .<span class=SpellE>fxye</span> files <o:p></o:p></span></p> 3603 3554 3604 3555 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3605 3556 "Times New Roman"'>This reads powder patterns (histograms) from the defined 3606 GSAS format powder data files. GSAS file types STD, ESD, FXY and FXYE are3607 recognized. Neutron TOF data with a ‘TIME-MAP’ are also recognized. The file 3608 names are found in a directory dialog; you can change directories as needed. If 3609 the selected files have more than one powder pattern, a dialog is shown with 3610 the choice(s). <o:p></o:p></span></p>3611 3612 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3613 "Times New Roman"'>TOPAS . xyefiles. <o:p></o:p></span></p>3614 3615 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3616 "Times New Roman"'>This format is a simple 3-column (2-theta, intensity & 3617 sig)text file. The file names are found in a directory dialog; you can change3557 GSAS format powder data files. GSAS file <span class=GramE>types</span> STD, 3558 ESD, FXY and FXYE are recognized. Neutron TOF data with a ‘TIME-MAP’ are also 3559 recognized. The file names are found in a directory dialog; you can change 3560 directories as needed. If the selected files have more than one powder pattern, 3561 a dialog is shown with the choice(s). <o:p></o:p></span></p> 3562 3563 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3564 "Times New Roman"'>TOPAS .<span class=SpellE>xye</span> files. <o:p></o:p></span></p> 3565 3566 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3567 "Times New Roman"'>This format is a simple 3-column (2-theta, intensity & sig) 3568 text file. The file names are found in a directory dialog; you can change 3618 3569 directories as needed. <o:p></o:p></span></p> 3619 3570 … … 3640 3591 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3641 3592 "Times New Roman"'>This reads squared structure factors (as F**2) and sig(F**2) 3642 from a SHELX format .hkl file. The file names are found in a directory dialog; 3643 you can change directories as needed. You must know the file contains structure 3644 factors (as F**2) as the file itself has no internal indication of this. <o:p></o:p></span></p> 3593 from a SHELX format .<span class=SpellE>hkl</span> file. The file names are 3594 found in a directory dialog; you can change directories as needed. You must 3595 know the file contains structure factors (as F**2) as the file itself has no 3596 internal indication of this. <o:p></o:p></span></p> 3645 3597 3646 3598 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3649 3601 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3650 3602 "Times New Roman"'>This reads structure factors (as F) and sig(F) from a SHELX 3651 format .hkl file. The file names are found in a directory dialog; you can 3652 change directories as needed. You must know the file contains structure factors 3653 (as F values) as the file itself has no internal indication of this. <o:p></o:p></span></p> 3603 format .<span class=SpellE>hkl</span> file. The file names are found in a 3604 directory dialog; you can change directories as needed. You must know the file 3605 contains structure factors (as F values) as the file itself has no internal 3606 indication of this. <o:p></o:p></span></p> 3654 3607 3655 3608 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: … … 3657 3610 3658 3611 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3659 "Times New Roman"'>This reads structure factors (as F**2 or F) and sig(F**2 or 3660 F) from a .CIF (or .cif) or .FCF (or .fcf) format file. The file names are 3612 "Times New Roman"'>This reads structure factors (as F**2 or F) and <span 3613 class=GramE>sig(</span>F**2 or F) from a .CIF (or .<span class=SpellE>cif</span>) 3614 or .FCF (or .<span class=SpellE>fcf</span>) format file. The file names are 3661 3615 found in a directory dialog; you can change directories as needed. The internal 3662 3616 structure of this file indicates in which form the structure factors are used. <o:p></o:p></span></p> … … 3667 3621 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3668 3622 "Times New Roman"'>This attempts to read one data set from a file trying the 3669 formats as described above. However, since it cannot be determined if SHELX 3670 format .hkl contaings F or F**2 values, do not use this command for those 3671 files. On occasion, this command may not succeed in correctly determining a 3672 file format. If it fails, retry by selecting the correct format from the list. <o:p></o:p></span></p> 3623 formats as described above. However, since it cannot be determined if SHELX <span 3624 class=GramE>format .<span class=SpellE>hkl</span></span> <span class=SpellE>contaings</span> 3625 F or F**2 values, do not use this command for those files. On occasion, this 3626 command may not succeed in correctly determining a file format. If it fails, 3627 retry by selecting the correct format from the list. <o:p></o:p></span></p> 3673 3628 3674 3629 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3690 3645 <p style='margin-left:.5in'>GSAS-II uses separate routines to write out files 3691 3646 with information inside GSAS-II. These routines can be created and customized 3692 easily. See the GSAS-II Export Modules section of the <a href="#Programmers"><s trong>Programmers3693 documentation</strong></a> for more information on this. Since it is easy to 3694 support new formats, the documentation below may not list all supported 3695 formats. </p>3647 easily. See the GSAS-II Export Modules section of the <a href="#Programmers"><span 3648 class=GramE><strong>Programmers</strong></span><strong> documentation</strong></a> 3649 for more information on this. Since it is easy to support new formats, the 3650 documentation below may not list all supported formats. </p> 3696 3651 3697 3652 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3734 3689 "Times New Roman"'> <o:p></o:p></span></p> 3735 3690 3736 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3737 "Times New Roman"'>This exports selected images as a portable networks graphics 3738 format (PNG) file. Alternately, the image controls and masks can be written for 3739 selected images. If strain analysis has been performed on images, the results 3740 can also be exported here as a spreadsheet (.csv file). <o:p></o:p></span></p> 3691 <p class=MsoNormal style='margin-left:.5in'><span class=GramE><span 3692 style='mso-fareast-font-family:"Times New Roman"'>This exports</span></span><span 3693 style='mso-fareast-font-family:"Times New Roman"'> selected images as a 3694 portable networks graphics format (PNG) file. Alternately, the image controls 3695 and masks can be written for selected images. If strain analysis has been 3696 performed on images, the results can also be exported here as a spreadsheet 3697 (.csv file). <o:p></o:p></span></p> 3741 3698 3742 3699 <p class=MsoNormal style='margin-left:.7in'><b><span style='mso-fareast-font-family: … … 3771 3728 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3772 3729 "Times New Roman"'>This allows computed PDFs peak lists from selected 3773 histograms to be written as two simple text files, {name}.gr and {name }.sq,3774 c ontaining g(r) and s(q), respectively as 2 columns of data; a header on each3775 indicated the source file name and the column headings. The file name comes 3776 from the PDF entry in the GSAS-II data tree. <o:p></o:p></span></p>3730 histograms to be written as two simple text files, {name}.gr and {name<span 3731 class=GramE>}.sq</span>, containing g(r) and s(q), respectively as 2 columns of 3732 data; a header on each indicated the source file name and the column headings. 3733 The file name comes from the PDF entry in the GSAS-II data tree. <o:p></o:p></span></p> 3777 3734 3778 3735 <div class=MsoNormal align=center style='text-align:center'><span 3779 style='mso-fareast-font-family:"Times New Roman" '>3780 3781 <hr size= 2width="100%" align=center>3736 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 3737 3738 <hr size=3 width="100%" align=center> 3782 3739 3783 3740 </span></div> 3784 3741 3785 3742 <div class=MsoNormal align=center style='text-align:center'><span 3786 style='mso-fareast-font-family:"Times New Roman" '>3787 3788 <hr size= 2width="100%" align=center>3743 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 3744 3745 <hr size=3 width="100%" align=center> 3789 3746 3790 3747 </span></div> … … 3798 3755 "Times New Roman"'>This window provides a place for you to enter whatever text 3799 3756 commentary you wish. Each time you enter this window, a date/time entry is 3800 provided for you. A possibly useful technique is to select a portion of the 3801 project.lst file after a refinement completes (it will contain refinement 3802 results with residuals, new values & esds) and paste it into this Notebook 3803 window so it becomes a part of your project file.</span> </p> 3757 provided for you. A possibly useful technique is to select a portion of the <span 3758 class=SpellE>project.lst</span> file after a refinement completes (it will contain 3759 refinement results with residuals, new values & <span class=SpellE>esds</span>) 3760 and paste it into this Notebook window so it becomes a part of your project 3761 file.</span> </p> 3804 3762 3805 3763 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What … … 3838 3796 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 3839 3797 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 3840 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3841 </span></span></span><![endif]>< u><span style='mso-fareast-font-family:"Times New Roman"'>analytic3842 Hessian</span></u><span style='mso-fareast-font-family:"Times New Roman"'>:3843 This is the default option and is usually the most useful. It uses a 3844 custom-developed least-squares minimizer that uses singular-value decomposition 3845 (SVD) to reduce the errors caused by correlated variables and the3798 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3799 </span></span></span><![endif]><span dir=LTR></span><u><span style='mso-fareast-font-family: 3800 "Times New Roman"'>analytic Hessian</span></u><span style='mso-fareast-font-family: 3801 "Times New Roman"'>: This is the default option and is usually the most useful. 3802 It uses a custom-developed least-squares minimizer that uses singular-value 3803 decomposition (SVD) to reduce the errors caused by correlated variables and the 3846 3804 Levenberg-Marquardt algorithm to up-weight diagonal Hessian terms when 3847 3805 refinements fail to lower χ<sup>2</sup>. <o:p></o:p></span></p> … … 3851 3809 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 3852 3810 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 3853 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3854 </span></span></span><![endif]><u><span style='mso-fareast-font-family:"Times New Roman"'>analytic 3855 Jacobian</span></u><span style='mso-fareast-font-family:"Times New Roman"'>: 3856 This uses a numpy-provided <i>leastsq</i> minimizer, which not applicable for problem 3857 with a large number of histograms as it requires much more memory than the 3858 Hessian routines. This because it creates a Jacobian matrix that is shaped N x 3859 M (N parameters x M observations) while the Hessian methods create a Jacobian 3860 matrix only each histogram. <o:p></o:p></span></p> 3811 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3812 </span></span></span><![endif]><span dir=LTR></span><u><span style='mso-fareast-font-family: 3813 "Times New Roman"'>analytic Jacobian</span></u><span style='mso-fareast-font-family: 3814 "Times New Roman"'>: This uses a <span class=SpellE>numpy</span>-provided <span 3815 class=SpellE><i>leastsq</i></span> minimizer, which not applicable for problem 3816 with <span class=GramE>a large number of</span> histograms as it requires much 3817 more memory than the Hessian routines. This because it creates a Jacobian 3818 matrix that is shaped N x M (N parameters x M observations) while the Hessian 3819 methods create a Jacobian matrix only each histogram. <o:p></o:p></span></p> 3861 3820 3862 3821 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; … … 3864 3823 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 3865 3824 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 3866 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3867 </span></span></span><![endif]><u><span style='mso-fareast-font-family:"Times New Roman"'>numeric</span></u><span 3868 style='mso-fareast-font-family:"Times New Roman"'>: This also uses the numpy <i>leastsq</i> 3869 minimizer, and is also not applicable for larger problems. Unlike, the 3870 "analytic Jacobian", numerical derivatives are computed rather than 3871 use the analytical derivatives that are coded directly into GSAS-II. This will 3872 be slower than the analytical derivatives and will is often less accurate which 3873 results in slower convergence. It is typically used for code development to 3874 check the accuracy of the analytical derivative formulations. <o:p></o:p></span></p> 3825 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3826 </span></span></span><![endif]><span dir=LTR></span><u><span style='mso-fareast-font-family: 3827 "Times New Roman"'>numeric</span></u><span style='mso-fareast-font-family:"Times New Roman"'>: 3828 This also uses the <span class=SpellE>numpy</span> <span class=SpellE><i>leastsq</i></span> 3829 <span class=GramE>minimizer, and</span> is also not applicable for larger 3830 problems. Unlike, the "analytic Jacobian", numerical derivatives are 3831 computed rather than use the analytical derivatives that are coded directly 3832 into GSAS-II. This will be slower than the analytical derivatives and will is 3833 often less accurate which results in slower convergence. It is typically used 3834 for code development to check the accuracy of the analytical derivative 3835 formulations. <o:p></o:p></span></p> 3875 3836 3876 3837 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; … … 3878 3839 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 3879 3840 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 3880 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3881 </span></span></span><![endif]>< u><span style='mso-fareast-font-family:"Times New Roman"'>Hessian3882 SVD</span></u><span style='mso-fareast-font-family:"Times New Roman"'>: This is 3883 very similar to <u>analytic Hessian</u> but does not include the 3884 Levenberg-Marquardt algorithm. It can be faster, but is more prone to diverge 3885 when severe correlation is present. It is possible that it might be better for 3886 single-crystal refinements. <o:p></o:p></span></p>3841 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 3842 </span></span></span><![endif]><span dir=LTR></span><u><span style='mso-fareast-font-family: 3843 "Times New Roman"'>Hessian SVD</span></u><span style='mso-fareast-font-family: 3844 "Times New Roman"'>: This is very similar to <u>analytic Hessian</u> but does 3845 not include the Levenberg-Marquardt algorithm. It can be <span class=GramE>faster, 3846 but</span> is more prone to diverge when severe correlation is present. It is 3847 possible that it might be better for single-crystal refinements. <o:p></o:p></span></p> 3887 3848 3888 3849 <p style='margin-left:1.25in'>Note that the Jacobian refinement tools are the 3889 Fortran MINPACK <i>lmdif</i> and <i>lmder</i> algorithms wrapped in python as 3890 provided in the Scipy package. The Hessian routines are were developed for 3891 GSAS-II based on routines in numpy and scipy and using the material in 3892 Numerical Recipes (Press, Flannery, Teulosky & Vetterling) for the 3893 Levenberg-Marquardt. The purpose is to minimize the sum of the squares of M<span 3894 style='mso-fareast-font-family:"Times New Roman"'> nonlinear functions in N 3895 variables by a modification of the Levenberg-Marquardt algorithm. The lmdif and 3896 lmder routines were written by </span>Burton S. Garbow, Kenneth E. Hillstrom, 3897 Jorge J. More (Argonne National Laboratory, 1980). </p> 3850 Fortran MINPACK <span class=SpellE><i>lmdif</i></span> and <span class=SpellE><i>lmder</i></span> 3851 algorithms wrapped in python as provided in the <span class=SpellE>Scipy</span> 3852 package. The Hessian routines <span class=GramE>are were</span> developed for 3853 GSAS-II based on routines in <span class=SpellE>numpy</span> and <span 3854 class=SpellE>scipy</span> and using the material in Numerical Recipes (Press, 3855 Flannery, <span class=SpellE>Teulosky</span> & <span class=SpellE>Vetterling</span>) 3856 for the Levenberg-Marquardt. The purpose is to minimize the sum of the squares 3857 of M<span style='mso-fareast-font-family:"Times New Roman"'> nonlinear 3858 functions in N variables by a modification of the Levenberg-Marquardt 3859 algorithm. The <span class=SpellE>lmdif</span> and <span class=SpellE>lmder</span> 3860 routines were written by </span>Burton S. <span class=SpellE>Garbow</span>, 3861 Kenneth E. <span class=SpellE>Hillstrom</span>, Jorge J. More (Argonne National 3862 Laboratory, 1980). </p> 3898 3863 3899 3864 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: 3900 "Times New Roman"'>Min delta-M/M</span></b><span style='mso-fareast-font-family:3901 "Times New Roman"'><o:p></o:p></span></p>3865 "Times New Roman"'>Min <span class=GramE>delta-M</span>/M</span></b><span 3866 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 3902 3867 3903 3868 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3904 3869 "Times New Roman"'>A refinement will stop when the change in the minimization 3905 function (M=Σ[w(Io-Ic)<sup>2</sup>]) is less than this value. The allowed range 3906 is 10<sup>-9</sup> to 1.0, with a default of 0.001. A value of 1.0 stops the 3907 refinement after a single cycle. Values less than 10<sup>-4</sup> cause 3908 refinements to continue even if there is no meaningful improvement. <o:p></o:p></span></p> 3870 function (M=Σ[w(Io-<span class=SpellE>Ic</span>)<sup>2</sup>]) is less than 3871 this value. The allowed range is 10<sup>-9</sup> to 1.0, with a default of 3872 0.001. A value of 1.0 stops the refinement after a single cycle. Values less 3873 than 10<sup>-4</sup> cause refinements to continue even if there is no meaningful 3874 improvement. <o:p></o:p></span></p> 3909 3875 3910 3876 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 3925 3891 weight of 1+λ is applied to the diagonal elements of the Hessian. When λ is 3926 3892 large, this down-weights the significance of the off-diagonal terms in the 3927 Hessian. Thus, when λ is large, the refinement is effectively one of 3928 steepest-descents, where correlation between variables is ignored. Note that 3929 steepest-descents minimization is typically slow and may not always find the 3930 local minimum. This is only available with the "analytical Hessian" 3931 minimizer. <o:p></o:p></span></p>3893 Hessian. Thus, when λ is large, the refinement is effectively one of <span 3894 class=GramE>steepest-descents</span>, where correlation between variables is 3895 ignored. Note that steepest-descents minimization is typically slow and may not 3896 always find the local minimum. This is only available with the "analytical 3897 Hessian" minimizer. <o:p></o:p></span></p> 3932 3898 3933 3899 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 3950 3916 See the <a 3951 3917 href="https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.leastsq.html">SciPy 3952 leastsqdocs</a> for more information. <o:p></o:p></span></p>3918 <span class=SpellE>leastsq</span> docs</a> for more information. <o:p></o:p></span></p> 3953 3919 3954 3920 <p style='margin-left:.75in'><a name=SingleXtlSettings></a><u>Single Crystal:</u><i> … … 3965 3931 3966 3932 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: 3967 "Times New Roman"'>Min obs/sig</span></b><span style='mso-fareast-font-family:3968 "Times New Roman"'><o:p></o:p></span></p>3969 3970 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3971 "Times New Roman"'>Conventional cutoff for single crystal refinements as to 3972 what reflections should be considered observed, typical values are 2.0 (2σ) or 3973 3.0(3σ). <o:p></o:p></span></p>3933 "Times New Roman"'>Min <span class=SpellE>obs</span>/sig</span></b><span 3934 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 3935 3936 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3937 "Times New Roman"'>Conventional cutoff for single crystal refinements as to what 3938 reflections should be considered observed, typical values are 2.0 (2σ) or 3.0 3939 (3σ). <o:p></o:p></span></p> 3974 3940 3975 3941 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 3978 3944 3979 3945 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3980 "Times New Roman"'>( needsfurther work) <o:p></o:p></span></p>3946 "Times New Roman"'>(<span class=GramE>needs</span> further work) <o:p></o:p></span></p> 3981 3947 3982 3948 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 3986 3952 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 3987 3953 "Times New Roman"'>Removes reflections that are very poorly fit. Should be used 3988 only with extreme care, since poorly-fit reflections could be an indication3989 that the structure is wrong. <o:p></o:p></span></p>3954 only with extreme care, since <span class=GramE>poorly-fit</span> reflections 3955 could be an indication that the structure is wrong. <o:p></o:p></span></p> 3990 3956 3991 3957 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 4024 3990 or more histograms are selected, a sequential refinement is used. If none are 4025 3991 selected, then the refinement be set as "normal". The button is 4026 labeled "Select" when in normal refinement mode and 4027 "Reselect"in sequential refinement mode. <o:p></o:p></span></p>3992 labeled "Select" when in normal refinement mode and "Reselect" 3993 in sequential refinement mode. <o:p></o:p></span></p> 4028 3994 4029 3995 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 4032 3998 4033 3999 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4034 "Times New Roman"'>Normally, in a sequential histograms are fit in the order4035 they are in the data tree (which can be reordered by dragging tree items), but 4036 when this option is selected, the sequential fit is performed with the last 4037 tree entry first. <o:p></o:p></span></p>4000 "Times New Roman"'>Normally, in <span class=GramE>a sequential histograms</span> 4001 are fit in the order they are in the data tree (which can be reordered by 4002 dragging tree items), but when this option is selected, the sequential fit is 4003 performed with the last tree entry first. <o:p></o:p></span></p> 4038 4004 4039 4005 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: … … 4044 4010 "Times New Roman"'>When this option is selected, the fitted parameters from 4045 4011 each refinement are copied to the next histogram, so that the starting point 4046 for each refinement will be the results from fitting the previous. This works 4047 wellfor parametric experiments where parameters such as the lattice parameters4012 for each refinement will be the results from fitting the previous. This works well 4013 for parametric experiments where parameters such as the lattice parameters 4048 4014 change gradually over the course of successive measurements. This option is 4049 4015 usually used only for the initial refinement after a sequential fit is started … … 4076 4042 4077 4043 <p style='margin-left:.75in'>This offers a place to change how GSAS-II performs 4078 refinements, but has no specific menu commands or graphics. </p> 4044 <span class=GramE>refinements, but</span> has no specific menu commands or 4045 graphics. </p> 4079 4046 4080 4047 <h4 style='margin-left:.25in'><a name=Covariance>Covariance</a></h4> … … 4087 4054 <h5 style='margin-left:.5in'>What is plotted here?</h5> 4088 4055 4089 <p style='margin-left:1.0in'>The variance-covariance matrix as a color coded 4090 array is shown on this page. The color bar to the right shows the range of 4091 covariances (-1 to 1) and corresponding colors. The parameter names are to the 4092 right and the parameter numbers are below the plot. </p> 4056 <p style='margin-left:1.0in'>The variance-covariance matrix as a <span 4057 class=GramE>color coded</span> array is shown on this page. The color bar to 4058 the right shows the range of covariances (-1 to 1) and corresponding colors. 4059 The parameter names are to the right and the parameter numbers are below the 4060 plot. </p> 4093 4061 4094 4062 <h5 style='margin-left:.5in'>What can I do with the plot?</h5> 4095 4063 4096 4064 <p style='margin-left:1.0in'>Move the mouse cursor across the plot. If on a 4097 diagonal cell, the parameter name, value and esd is shown both as a tool tip4098 and in the right hand portion of the status bar. If the cursor is off the 4099 diagonal, the two parameter names and their covariance are shown in the tool 4100 tip and the status bar. </p>4065 diagonal cell, the parameter name, value and <span class=SpellE>esd</span> is 4066 shown both as a tool tip and in the <span class=GramE>right hand</span> portion 4067 of the status bar. If the cursor is off the diagonal, the two parameter names 4068 and their covariance are shown in the tool tip and the status bar. </p> 4101 4069 4102 4070 <p style='margin-left:1.0in'>Use the Zoom and Pan buttons to focus on some … … 4105 4073 <p style='margin-left:1.0in'>Press ‘s’ – A color scheme selection dialog is 4106 4074 shown. Select a color scheme and press OK, the new color scheme will be 4107 plotted. The default is ‘ RdYlGn’. </p>4075 plotted. The default is ‘<span class=SpellE>RdYlGn</span>’. </p> 4108 4076 4109 4077 <p style='margin-left:1.0in'>Press ‘p’ – Saves the covariance values in a text … … 4115 4083 <span style='mso-bookmark:Constraints'></span> 4116 4084 4117 <p class=MsoNormal style='margin-left:.5in'>This window shows the constraints 4118 tobe used in a refinement. It is organized into three tabbed pages. ‘Phase4085 <p class=MsoNormal style='margin-left:.5in'>This window shows the constraints to 4086 be used in a refinement. It is organized into three tabbed pages. ‘Phase 4119 4087 constraints’ contain those involving parameters that describe aspects of the 4120 crystalline phases to be used in the refinement (e.g. atom coordinates, thermal 4121 motion and site fraction parameters). ‘Histogram/Phase constraints’ are those 4122 which describe aspects of the pattern that depend on both the phase and the 4123 data set used in the refinement (e.g. microstrain and crystallite size 4124 parameters). ‘Histogram constraints’ are those that depend only on the data set 4125 (e.g. profile coefficients U, V, W, X and Y). </p> 4088 crystalline phases to be used in the refinement (<span class=GramE>e.g.</span> 4089 atom coordinates, thermal motion and site fraction parameters). 4090 ‘Histogram/Phase constraints’ are those which describe aspects of the pattern 4091 that depend on both the phase and the data set used in the refinement (<span 4092 class=GramE>e.g.</span> <span class=SpellE>microstrain</span> and crystallite 4093 size parameters). ‘Histogram constraints’ are those that depend only on the 4094 data set (<span class=GramE>e.g.</span> profile coefficients U, V, W, X and Y). 4095 </p> 4126 4096 4127 4097 <h5 style='margin-left:.5in'>What can I do here?</h5> 4128 4098 4129 4099 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 4130 text-indent:-.25in;mso-list:l20 level1 lfo 5'><![if !supportLists]><span4100 text-indent:-.25in;mso-list:l20 level1 lfo4'><![if !supportLists]><span 4131 4101 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 4132 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4133 style='mso-fareast-font-family:"Times New Roman"'>Select the tab for the 4134 parameter types you wish to constrain. Each will have the same possibilities in 4135 the ‘<b style='mso-bidi-font-weight:normal'>Edit’</b> menu.<o:p></o:p></span></p>4102 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4103 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Select 4104 the tab for the parameter types you wish to constrain. Each will have the same 4105 possibilities in the ‘<b style='mso-bidi-font-weight:normal'>Edit’</b> menu.<o:p></o:p></span></p> 4136 4106 4137 4107 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4138 auto;text-indent:-.25in;mso-list:l20 level1 lfo 5'><![if !supportLists]><span4108 auto;text-indent:-.25in;mso-list:l20 level1 lfo4'><![if !supportLists]><span 4139 4109 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 4140 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4141 style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight: 4142 normal'>Edit</b>’ – <o:p></o:p></span></p>4110 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4111 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b 4112 style='mso-bidi-font-weight:normal'>Edit</b>’ – <o:p></o:p></span></p> 4143 4113 4144 4114 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4145 auto;text-indent:-.25in;mso-list:l20 level2 lfo 5'><![if !supportLists]><span4115 auto;text-indent:-.25in;mso-list:l20 level2 lfo4'><![if !supportLists]><span 4146 4116 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 4147 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4148 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 4149 Hold</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – select 4150 a parameter that you wish to remain fixed although other parameters of the same 4151 type may be selected as a group for refinement. For example, if the space group 4152 for a phase has a polar axis (e.g. the b-axis in P2<sub>1</sub>), then one atom 4117 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4118 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4119 "Times New Roman"'>Add Hold</span></b><span style='mso-fareast-font-family: 4120 "Times New Roman"'> – select a parameter that you wish to remain fixed although 4121 other parameters of the same type may be selected as a group for refinement. 4122 For example, if the space group for a phase has a polar axis (<span 4123 class=GramE>e.g.</span> the b-axis in P2<sub>1</sub>), then one atom 4153 4124 y-parameter is arbitrary and should be selected for a Hold to keep the 4154 4125 structure from drifting up or down the y-axis during refinement. If selected, a … … 4159 4130 4160 4131 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4161 auto;text-indent:-.25in;mso-list:l20 level2 lfo 5'><![if !supportLists]><span4132 auto;text-indent:-.25in;mso-list:l20 level2 lfo4'><![if !supportLists]><span 4162 4133 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 4163 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4164 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 4165 equivalence</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4166 – select a list of parameters that should have the same value (possibly with a 4167 non-unitary multiplier for some). Examples are a list of atoms with the same 4168 thermal motion Uiso, sets of profile coefficients U,V,W across multiple data 4169 sets. If selected, a dialog box will appear with a list of the available 4170 parameters. Select one and press OK; a second dialog box will appear with only 4171 those parameters that can be made equivalent to the first one. Choose those and 4172 press OK. Cancel in either dialog will cancel the operation. The equivalenced 4134 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4135 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4136 "Times New Roman"'>Add equivalence</span></b><span style='mso-fareast-font-family: 4137 "Times New Roman"'> – select a list of parameters that should have the same 4138 value (possibly with a non-unitary multiplier for some). Examples are a list of 4139 atoms with the same thermal motion <span class=SpellE>Uiso</span>, sets of 4140 profile coefficients <span class=GramE>U,V</span>,W across multiple data sets. 4141 If selected, a dialog box will appear with a list of the available parameters. 4142 Select one and press OK; a second dialog box will appear with only those 4143 parameters that can be made equivalent to the first one. Choose those and press 4144 OK. Cancel in either dialog will cancel the operation. The equivalenced 4173 4145 parameters will show as an equation of the form M<sub>1</sub>*P<sub>1</sub>+M<sub>2</sub>*P<sub>2</sub>=0; 4174 usually M1=1.0 and M2=- 1.0, but can be changed via the ‘Edit’ button. The4175 keyword ‘EQUIV’ marks it as an equivalence. A Delete button can be used to 4176 remove it.<o:p></o:p></span></p>4146 usually M1=1.0 and M2=-<span class=GramE>1.0, but</span> can be changed via the 4147 ‘Edit’ button. The keyword ‘EQUIV’ marks it as an equivalence. A Delete button 4148 can be used to remove it.<o:p></o:p></span></p> 4177 4149 4178 4150 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4179 auto;text-indent:-.25in;mso-list:l20 level2 lfo 5'><![if !supportLists]><span4151 auto;text-indent:-.25in;mso-list:l20 level2 lfo4'><![if !supportLists]><span 4180 4152 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 4181 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4182 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 4183 constraint</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4184 select a list of parameters whose sum (with possible non-unitary multipliers) 4185 is fixed. For example, the sum of site fractions for atoms on the same site 4186 could be fixed to unity. If selected, a dialog box will appear with a list of 4187 the available parameters. Select one and press OK; a second dialog box will 4188 appear with only those parameters that can be used in a constraint with the 4189 first one. Choose those and press OK. Cancel in either dialog will cancel the 4190 operation. The equivalenced parameters will show as an equation of the form M<sub>1</sub>*P<sub>1</sub>+M<sub>2</sub>*P<sub>2</sub>+…=C; 4153 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4154 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4155 "Times New Roman"'>Add constraint</span></b><span style='mso-fareast-font-family: 4156 "Times New Roman"'> – select a list of parameters whose sum (with possible 4157 non-unitary multipliers) is fixed. For example, the sum of site fractions for 4158 atoms on the same site could be fixed to unity. If selected, a dialog box will 4159 appear with a list of the available parameters. Select one and press OK; a 4160 second dialog box will appear with only those parameters that can be used in a 4161 constraint with the first one. Choose those and press OK. Cancel in either 4162 dialog will cancel the operation. The equivalenced parameters will show as an 4163 equation of the form M<sub>1</sub>*P<sub>1</sub>+M<sub>2</sub>*P<sub>2</sub>+…=C; 4191 4164 the multipliers M1, M2, … and C can be changed via the ‘Edit’ button. The 4192 4165 keyword ‘CONSTR’ marks it as a constraint. A Delete button can be used to … … 4194 4167 4195 4168 <p class=MsoListParagraphCxSpLast style='margin-left:1.5in;mso-add-space:auto; 4196 text-indent:-.25in;mso-list:l20 level2 lfo 5'><![if !supportLists]><span4169 text-indent:-.25in;mso-list:l20 level2 lfo4'><![if !supportLists]><span 4197 4170 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 4198 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4199 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 4200 function</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4201 this is very similar the “Add constraint” type except that the result of the 4202 sum can be varied in the refinement. The keyword ‘FUNCT’ marks it as a 4203 function; the ‘Refine?’ box indicates your choice to refine the result ofthe4204 sum. A Delete button can be used to remove it.<o:p></o:p></span></p>4171 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4172 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4173 "Times New Roman"'>Add function</span></b><span style='mso-fareast-font-family: 4174 "Times New Roman"'> – this is very similar the “Add constraint” type except 4175 that the result of the sum can be varied in the refinement. The keyword ‘FUNCT’ 4176 marks it as a function; the ‘Refine?’ box indicates your choice to refine the 4177 result of the sum. A Delete button can be used to remove it.<o:p></o:p></span></p> 4205 4178 4206 4179 <h4 style='margin-left:.25in'><a name=Restraints><span style='mso-fareast-font-family: … … 4218 4191 4219 4192 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 4220 text-indent:-.25in;mso-list:l12 level1 lfo 7'><![if !supportLists]><span4193 text-indent:-.25in;mso-list:l12 level1 lfo5'><![if !supportLists]><span 4221 4194 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 4222 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4223 style='mso-fareast-font-family:"Times New Roman"'>Select the tab for the 4224 restraint type you wish to use. Each will have the same possibilities in the ‘<b 4225 style='mso-bidi-font-weight:normal'>Edit’</b> menu.<o:p></o:p></span></p>4195 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4196 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Select 4197 the tab for the restraint type you wish to use. Each will have the same possibilities 4198 in the ‘<b style='mso-bidi-font-weight:normal'>Edit’</b> menu.<o:p></o:p></span></p> 4226 4199 4227 4200 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4228 auto;text-indent:-.25in;mso-list:l12 level1 lfo 7'><![if !supportLists]><span4201 auto;text-indent:-.25in;mso-list:l12 level1 lfo5'><![if !supportLists]><span 4229 4202 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 4230 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4231 style='mso-fareast-font-family:"Times New Roman"'>You can change the <b 4232 style='mso-bidi-font-weight:normal'>Restraint weight factor</b> – this is used 4233 t o scale the weights for the entire set of restraints of this type. Default4234 value for the weight factor is 1.0.<o:p></o:p></span></p>4203 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4204 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>You can 4205 change the <b style='mso-bidi-font-weight:normal'>Restraint weight factor</b> – 4206 this is used to scale the weights for the entire set of restraints of this 4207 type. Default value for the weight factor is 1.0.<o:p></o:p></span></p> 4235 4208 4236 4209 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4237 auto;text-indent:-.25in;mso-list:l12 level1 lfo 7'><![if !supportLists]><span4210 auto;text-indent:-.25in;mso-list:l12 level1 lfo5'><![if !supportLists]><span 4238 4211 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 4239 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4240 style='mso-fareast-font-family:"Times New Roman"'>You can choose to use or not 4241 use the restraints in subsequent refinements. Default is to use the restraints.<o:p></o:p></span></p> 4212 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4213 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>You can 4214 choose to use or not use the restraints in subsequent refinements. Default is 4215 to use the restraints.<o:p></o:p></span></p> 4242 4216 4243 4217 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4244 auto;text-indent:-.25in;mso-list:l12 level1 lfo 7'><![if !supportLists]><span4218 auto;text-indent:-.25in;mso-list:l12 level1 lfo5'><![if !supportLists]><span 4245 4219 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 4246 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4247 style='mso-fareast-font-family:"Times New Roman"'>You can change the search 4248 range used to find the bonds/angles that meet your criteria for restraint.<o:p></o:p></span></p> 4220 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4221 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>You can 4222 change the search range used to find the bonds/angles that meet your criteria 4223 for restraint.<o:p></o:p></span></p> 4249 4224 4250 4225 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4251 auto;text-indent:-.25in;mso-list:l12 level1 lfo 7'><![if !supportLists]><span4226 auto;text-indent:-.25in;mso-list:l12 level1 lfo5'><![if !supportLists]><span 4252 4227 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 4253 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4254 style='mso-fareast-font-family:"Times New Roman"'>You can examine the table of 4255 restraints and change individual values; grayed out regions cannot be changed. 4256 The ‘calc’ values are determined from the atom positions in your structure, 4257 ‘obs’ values are the target values for the restraint and ‘esd’ is the 4228 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4229 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>You can 4230 examine the table of restraints and change individual values; grayed out 4231 regions cannot be changed. The ‘calc’ values are determined from the atom 4232 positions in your structure, ‘<span class=SpellE>obs</span>’ values are the 4233 target values for the restraint and ‘<span class=SpellE>esd</span>’ is the 4258 4234 uncertainty used to weight the restraint in the refinement (multiplied by the 4259 4235 weight factor).<o:p></o:p></span></p> 4260 4236 4261 4237 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4262 auto;text-indent:-.25in;mso-list:l12 level1 lfo 7'><![if !supportLists]><span4238 auto;text-indent:-.25in;mso-list:l12 level1 lfo5'><![if !supportLists]><span 4263 4239 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>6.<span 4264 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4265 style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight: 4266 normal'>Edit</b>’ – some entries may be grayed out if not appropriate for your 4267 phase or for the selected restraint.<o:p></o:p></span></p>4240 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4241 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b 4242 style='mso-bidi-font-weight:normal'>Edit</b>’ – some entries may be grayed out 4243 if not appropriate for your phase or for the selected restraint.<o:p></o:p></span></p> 4268 4244 4269 4245 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4270 auto;text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4246 auto;text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4271 4247 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 4272 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4273 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Select 4274 phase</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4275 active if there is more than one phase in your project. A dialog box will 4276 appear with a list of the phases, select the one you want for restraint 4277 development.<o:p></o:p></span></p>4248 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4249 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4250 "Times New Roman"'>Select phase</span></b><span style='mso-fareast-font-family: 4251 "Times New Roman"'> – active if there is more than one phase in your project. A 4252 dialog box will appear with a list of the phases, select the one you want for 4253 restraint development.<o:p></o:p></span></p> 4278 4254 4279 4255 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4280 auto;text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4256 auto;text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4281 4257 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 4282 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4283 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 4284 restraints</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4285 this takes you through a sequence of dialog boxes which ask for the identities 4286 of the atoms involved in the restraint and the value to be assigned to the 4287 restraint. The esd is given a default value which can be changed after the 4288 restraints are created.<o:p></o:p></span></p>4258 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4259 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4260 "Times New Roman"'>Add restraints</span></b><span style='mso-fareast-font-family: 4261 "Times New Roman"'> – this takes you through a sequence of dialog boxes which 4262 ask for the identities of the atoms involved in the restraint and the value to 4263 be assigned to the restraint. The <span class=SpellE>esd</span> is given a 4264 default value which can be changed after the restraints are created.<o:p></o:p></span></p> 4289 4265 4290 4266 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4291 auto;text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4267 auto;text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4292 4268 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 4293 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4294 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 4295 residue restraints</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4296 – if the phase is a ‘macromolecule’ then develop the restraints from a selected 4297 ‘macro’ file based on those used in GSAS for this purpose. A file dialog box is 4298 shown directed to /GSASIImacros; be sure to select the correct file.<o:p></o:p></span></p> 4269 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4270 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4271 "Times New Roman"'>Add residue restraints</span></b><span style='mso-fareast-font-family: 4272 "Times New Roman"'> – if the phase is a ‘macromolecule’ then develop the 4273 restraints from a selected ‘macro’ file based on those used in GSAS for this 4274 purpose. A file dialog box is shown directed to /<span class=SpellE>GSASIImacros</span>; 4275 be sure to select the correct file.<o:p></o:p></span></p> 4299 4276 4300 4277 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4301 auto;text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4278 auto;text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4302 4279 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 4303 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4304 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Plot 4305 residue restraints</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4306 – if the phase is a ‘macromolecule’ and the restraint type is either ‘<b 4307 style='mso-bidi-font-weight:normal'>Torsion restraints</b>’ or ‘<b4308 style='mso-bidi-font-weight:normal'>Ramachandran restraints</b>’, then a plot will4309 be made of the restraint distribution; torsions as 1-D plots of angle vs.4280 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4281 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4282 "Times New Roman"'>Plot residue restraints</span></b><span style='mso-fareast-font-family: 4283 "Times New Roman"'> – if the phase is a ‘macromolecule’ and the restraint type 4284 is either ‘<b style='mso-bidi-font-weight:normal'>Torsion restraints</b>’ or ‘<b 4285 style='mso-bidi-font-weight:normal'>Ramachandran restraints</b>’, then a plot 4286 will be made of the restraint distribution; torsions as 1-D plots of angle vs. 4310 4287 pseudopotential energy and Ramachandran ones as 2-D plot of psi vs phi. In each 4311 4288 case a dialog box will appear asking for the residue types or specific torsion 4312 4289 angles to plot. Each plot will show the observed distribution (blue) obtained 4313 from a wide variety of high resolution protein structures and those found (red4314 dots) for your structure. The restraints are based on a pseudopotential (red 4315 curve or contours – favorable values at the peaks) which has been developed 4316 from the observed distributions for each residue type.<o:p></o:p></span></p>4290 from a wide variety of <span class=GramE>high resolution</span> protein 4291 structures and those found (red dots) for your structure. The restraints are 4292 based on a pseudopotential (red curve or contours – favorable values at the peaks) 4293 which has been developed from the observed distributions for each residue type.<o:p></o:p></span></p> 4317 4294 4318 4295 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4319 auto;text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4296 auto;text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4320 4297 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 4321 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4322 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Change 4323 value</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – this 4324 changes the ‘obsd’ value for selected restraints; a dialog box will appear 4325 asking for the new value. <o:p></o:p></span></p>4298 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4299 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4300 "Times New Roman"'>Change value</span></b><span style='mso-fareast-font-family: 4301 "Times New Roman"'> – this changes the ‘<span class=SpellE>obsd</span>’ value 4302 for selected restraints; a dialog box will appear asking for the new value. <o:p></o:p></span></p> 4326 4303 4327 4304 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4328 auto;text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4305 auto;text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4329 4306 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>f.<span 4330 style='font:7.0pt "Times New Roman"'> 4331 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 4332 style='mso-fareast-font-family:"Times New Roman"'>Change esd</span></b><span4333 style='mso-fareast-font-family:"Times New Roman"'> – this changes the ‘ esd’4334 value for selected restraints; a dialog box will appear asking for the new 4335 value.<o:p></o:p></span></p>4307 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4308 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4309 "Times New Roman"'>Change <span class=SpellE>esd</span></span></b><span 4310 style='mso-fareast-font-family:"Times New Roman"'> – this changes the ‘<span 4311 class=SpellE>esd</span>’ value for selected restraints; a dialog box will 4312 appear asking for the new value.<o:p></o:p></span></p> 4336 4313 4337 4314 <p class=MsoListParagraphCxSpLast style='margin-left:1.5in;mso-add-space:auto; 4338 text-indent:-.25in;mso-list:l12 level2 lfo 7'><![if !supportLists]><span4315 text-indent:-.25in;mso-list:l12 level2 lfo5'><![if !supportLists]><span 4339 4316 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>g.<span 4340 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4341 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Delete 4342 restraints</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4343 this deletes selected restraints from the list. A single click in the blank box 4344 in the upper left corner of the table will select/deselect all restraints.<o:p></o:p></span></p> 4317 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4318 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4319 "Times New Roman"'>Delete restraints</span></b><span style='mso-fareast-font-family: 4320 "Times New Roman"'> – this deletes selected restraints from the list. A single 4321 click in the blank box in the upper left corner of the table will 4322 select/deselect all restraints.<o:p></o:p></span></p> 4345 4323 4346 4324 <h4 style='margin-left:.25in'><a name="Rigid_bodies"><span style='mso-fareast-font-family: … … 4359 4337 4360 4338 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 4361 text-indent:-.25in;mso-list:l25 level1 lfo 9'><![if !supportLists]><span4339 text-indent:-.25in;mso-list:l25 level1 lfo6'><![if !supportLists]><span 4362 4340 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 4363 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4364 style='mso-fareast-font-family:"Times New Roman"'>Select the tab for the rigid 4365 body type you wish to use. Each will have the different possibilities in the ‘<b 4366 style='mso-bidi-font-weight:normal'>Edit’</b> menu depending on whether a rigid 4367 body has been defined.<o:p></o:p></span></p>4341 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4342 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Select 4343 the tab for the rigid body type you wish to use. Each will have the different 4344 possibilities in the ‘<b style='mso-bidi-font-weight:normal'>Edit’</b> menu 4345 depending on whether a rigid body has been defined.<o:p></o:p></span></p> 4368 4346 4369 4347 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4370 auto;text-indent:-.25in;mso-list:l25 level1 lfo 9'><![if !supportLists]><span4348 auto;text-indent:-.25in;mso-list:l25 level1 lfo6'><![if !supportLists]><span 4371 4349 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 4372 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4373 style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight: 4374 normal'>Edit</b>’ – the entries listed below depend on which type of rigid body 4375 is selected.<o:p></o:p></span></p>4350 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4351 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b 4352 style='mso-bidi-font-weight:normal'>Edit</b>’ – the entries listed below depend 4353 on which type of rigid body is selected.<o:p></o:p></span></p> 4376 4354 4377 4355 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4378 auto;text-indent:-.25in;mso-list:l25 level2 lfo 9'><![if !supportLists]><b4356 auto;text-indent:-.25in;mso-list:l25 level2 lfo6'><![if !supportLists]><b 4379 4357 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'><span 4380 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 4381 </span></span></span></b><![endif]>< b style='mso-bidi-font-weight:normal'><span4382 style='mso-fareast-font-family:"Times New Roman"'>Add rigid body</span></b><span4358 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 4359 </span></span></span></b><![endif]><span dir=LTR></span><b style='mso-bidi-font-weight: 4360 normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add rigid body</span></b><span 4383 4361 style='mso-fareast-font-family:"Times New Roman"'> – (Vector rigid bodies) this 4384 4362 creates a vector description of a rigid body. A dialog box asks the number of … … 4389 4367 4390 4368 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4391 auto;text-indent:-.25in;mso-list:l25 level2 lfo 9'><![if !supportLists]><span4369 auto;text-indent:-.25in;mso-list:l25 level2 lfo6'><![if !supportLists]><span 4392 4370 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 4393 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4394 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Import 4395 XYZ</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4396 (Residue rigid bodies) this reads a text file containing a set of Cartesian 4397 coordinates describing a rigid body model. Each line has atom type (e.g. C, Na, 4398 etc.) and Cartesian X, Y and Z.<o:p></o:p></span></p>4371 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4372 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4373 "Times New Roman"'>Import XYZ</span></b><span style='mso-fareast-font-family: 4374 "Times New Roman"'> – (Residue rigid bodies) this reads a text file containing 4375 a set of Cartesian coordinates describing a rigid body model. Each line has 4376 atom type (<span class=GramE>e.g.</span> C, Na, etc.) and Cartesian X, Y and Z.<o:p></o:p></span></p> 4399 4377 4400 4378 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4401 auto;text-indent:-.25in;mso-list:l25 level2 lfo 9'><![if !supportLists]><span4379 auto;text-indent:-.25in;mso-list:l25 level2 lfo6'><![if !supportLists]><span 4402 4380 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 4403 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b4404 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Define 4405 sequence</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4406 (Residue rigid bodies) this defines a variable torsion angle in a sequence of 4407 dialog boxes. The first one asks for the origin and the second asks forthe4408 pivot atom for the torsion from the nearest neighbors to the origin atom; the 4409 atoms that ride on the selected torsion are automatically found from their bond 4410 lengths.<o:p></o:p></span></p>4381 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4382 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4383 "Times New Roman"'>Define sequence</span></b><span style='mso-fareast-font-family: 4384 "Times New Roman"'> – (Residue rigid bodies) this defines a variable torsion 4385 angle in a sequence of dialog boxes. The first one asks for the origin and the 4386 second asks for the pivot atom for the torsion from the nearest neighbors to 4387 the origin atom; the atoms that ride on the selected torsion are automatically 4388 found from their bond lengths.<o:p></o:p></span></p> 4411 4389 4412 4390 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 4413 auto;text-indent:-.25in;mso-list:l25 level2 lfo 9'><![if !supportLists]><span4391 auto;text-indent:-.25in;mso-list:l25 level2 lfo6'><![if !supportLists]><span 4414 4392 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 4415 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4416 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Import 4417 residues</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 4418 (Residue rigid bodies) this reads a predetermined macro file that contains 4419 standard (Engh & Huber) coordinates for the amino acids found in natural 4420 proteins along with predetermined variable torsion angle definitions.<o:p></o:p></span></p> 4393 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4394 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4395 "Times New Roman"'>Import residues</span></b><span style='mso-fareast-font-family: 4396 "Times New Roman"'> – (Residue rigid bodies) this reads a predetermined macro 4397 file that contains standard (<span class=SpellE>Engh</span> & Huber) 4398 coordinates for the amino acids found in natural proteins along with 4399 predetermined variable torsion angle definitions.<o:p></o:p></span></p> 4421 4400 4422 4401 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 4423 auto;text-indent:-.25in;mso-list:l25 level1 lfo 9'><![if !supportLists]><span4402 auto;text-indent:-.25in;mso-list:l25 level1 lfo6'><![if !supportLists]><span 4424 4403 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 4425 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4426 style='mso-fareast-font-family:"Times New Roman"'>Once a rigid body is defined 4427 you can plot it, change its name or manipulate any torsion angle to see the 4428 effect on the plot.<o:p></o:p></span></p>4404 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4405 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Once a 4406 rigid body is defined you can plot it, change its name or manipulate any 4407 torsion angle to see the effect on the plot.<o:p></o:p></span></p> 4429 4408 4430 4409 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; 4431 text-indent:-.25in;mso-list:l25 level1 lfo 9'><![if !supportLists]><span4410 text-indent:-.25in;mso-list:l25 level1 lfo6'><![if !supportLists]><span 4432 4411 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 4433 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4434 style='mso-fareast-font-family:"Times New Roman"'>The translation magnitudes in 4435 a vector rigid body can be refined.<o:p></o:p></span></p>4412 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4413 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>The 4414 translation magnitudes in a vector rigid body can be refined.<o:p></o:p></span></p> 4436 4415 4437 4416 <h4 style='margin-left:.25in'><a name=Sequential></a><u><span style='mso-fareast-font-family: … … 4439 4418 4440 4419 <p class=MsoNormal style='margin-left:.5in'>This tree entry is available after 4441 a sequential refinement has been run. (See the <a href="#Controls">Controls 4442 tree item</a> to set the histograms to be used in a sequential refinement and 4443 use the Calculate/Sequential refine menu command to run the refinement.) When 4444 this is selected, the window tabulates the sequential refinement results. The 4445 columns are the parameter names; the naming convention is ‘p:h:name:n’ where 4446 ‘p’ is the phase number,’ h’ is the histogram number, ‘name’ is the parameter 4447 name, and ‘n’ (if needed) is the item number (e.g. atom number). The rows are 4448 the data sets used in the sequential refinement.</p> 4420 a sequential refinement has been run. (See the <a href="#Controls"><span 4421 class=GramE>Controls</span> tree item</a> to set the histograms to be used in a 4422 sequential refinement and use the Calculate/Sequential refine menu command to 4423 run the refinement.) When this is selected, the window tabulates the sequential 4424 refinement results. The columns are the parameter names; the naming convention 4425 is ‘<span class=SpellE>p:h:<span class=GramE>name:n</span></span>’ where ‘p’ is 4426 the phase number,’ h’ is the histogram number, ‘name’ is the parameter name, 4427 and ‘n’ (if needed) is the item number (e.g. atom number). The rows are the 4428 data sets used in the sequential refinement.</p> 4449 4429 4450 4430 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 4451 4431 can I do here?<o:p></o:p></span></h5> 4452 4432 4453 <h5 style='margin-left:1.25in;text-indent:-.25in;mso-list:l24 level1 lfo 11'><![if !supportLists]><span4433 <h5 style='margin-left:1.25in;text-indent:-.25in;mso-list:l24 level1 lfo7'><![if !supportLists]><span 4454 4434 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4455 4435 normal;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>1.<span 4456 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4457 style='mso-fareast-font-family:"Times New Roman";color:windowtext'>Select a row</span><span 4458 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4459 normal;mso-bidi-font-weight:bold'> – this will display the variance-covariance 4460 matrix for the refinement with that data set.<o:p></o:p></span></h5>4461 4462 <h5 style='margin-left:1.25in;text-indent:-.25in;mso-list:l24 level1 lfo 11'><![if !supportLists]><span4436 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4437 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"; 4438 color:windowtext'>Select a row</span><span style='mso-fareast-font-family:"Times New Roman"; 4439 color:windowtext;font-weight:normal;mso-bidi-font-weight:bold'> – this will 4440 display the variance-covariance matrix for the refinement with that data set.<o:p></o:p></span></h5> 4441 4442 <h5 style='margin-left:1.25in;text-indent:-.25in;mso-list:l24 level1 lfo7'><![if !supportLists]><span 4463 4443 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4464 4444 normal;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>2.<span 4465 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4466 style='mso-fareast-font-family:"Times New Roman";color:windowtext'>Select a 4467 col umn</span><span style='mso-fareast-font-family:"Times New Roman";color:windowtext;4468 font-weight:normal;mso-bidi-font-weight:bold'> – this will display a plot of 4469 that parameter across the sequence of data sets. Error bars for each value are 4470 also shown.<o:p></o:p></span></h5>4471 4472 <h5 style='margin-left:1.25in;text-indent:-.25in;mso-list:l24 level1 lfo 11'><![if !supportLists]><span4445 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4446 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"; 4447 color:windowtext'>Select a column</span><span style='mso-fareast-font-family: 4448 "Times New Roman";color:windowtext;font-weight:normal;mso-bidi-font-weight: 4449 bold'> – this will display a plot of that parameter across the sequence of data 4450 sets. Error bars for each value are also shown.<o:p></o:p></span></h5> 4451 4452 <h5 style='margin-left:1.25in;text-indent:-.25in;mso-list:l24 level1 lfo7'><![if !supportLists]><span 4473 4453 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4474 4454 normal;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>3.<span 4475 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span4476 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4477 normal;mso-bidi-font-weight:bold'>Menu ‘</span><span style='mso-fareast-font-family: 4478 "Times New Roman";color:windowtext'>Background’ – </span><span 4479 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4480 normal;mso-bidi-font-weight:bold'><o:p></o:p></span></h5>4481 4482 <h5 style='margin-left:1.75in;text-indent:-.25in;mso-list:l24 level2 lfo 11'><![if !supportLists]><span4455 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4456 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"; 4457 color:windowtext;font-weight:normal;mso-bidi-font-weight:bold'>Menu ‘</span><span 4458 style='mso-fareast-font-family:"Times New Roman";color:windowtext'>Background’ 4459 – </span><span style='mso-fareast-font-family:"Times New Roman";color:windowtext; 4460 font-weight:normal;mso-bidi-font-weight:bold'><o:p></o:p></span></h5> 4461 4462 <h5 style='margin-left:1.75in;text-indent:-.25in;mso-list:l24 level2 lfo7'><![if !supportLists]><span 4483 4463 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4484 4464 normal;mso-bidi-font-weight:bold'><span style='mso-list:Ignore'>a.<span 4485 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4486 style='mso-fareast-font-family:"Times New Roman";color:windowtext'>Save</span><span 4487 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 4488 normal;mso-bidi-font-weight:bold'> – this will create a text file of selected 4489 columns with values and corresponding esds. A file dialog box will appear; give 4490 a suitable file name; you may change directory if desired.<o:p></o:p></span></h5> 4465 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4466 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"; 4467 color:windowtext'>Save</span><span style='mso-fareast-font-family:"Times New Roman"; 4468 color:windowtext;font-weight:normal;mso-bidi-font-weight:bold'> – this will 4469 create a text file of selected columns with values and corresponding <span 4470 class=SpellE>esds</span>. A file dialog box will appear; give a suitable file name; 4471 you may change directory if desired.<o:p></o:p></span></h5> 4491 4472 4492 4473 <div class=MsoNormal align=center style='text-align:center'><span 4493 style='mso-fareast-font-family:"Times New Roman" '>4494 4495 <hr size= 2width="100%" align=center>4474 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 4475 4476 <hr size=3 width="100%" align=center> 4496 4477 4497 4478 </span></div> 4498 4479 4499 4480 <div class=MsoNormal align=center style='text-align:center'><span 4500 style='mso-fareast-font-family:"Times New Roman" '>4501 4502 <hr size= 2width="100%" align=center>4481 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 4482 4483 <hr size=3 width="100%" align=center> 4503 4484 4504 4485 </span></div> … … 4507 4488 tree items<o:p></o:p></span></h2> 4508 4489 4509 <p class=MsoNormal style='margin-left:.25in'>These are shown in the data tree 4510 witha prefix of ‘PWDR’, ’HKLF’, ‘IMG’, or ‘PDF’ and usually a file name. These4490 <p class=MsoNormal style='margin-left:.25in'>These are shown in the data tree with 4491 a prefix of ‘PWDR’, ’HKLF’, ‘IMG’, or ‘PDF’ and usually a file name. These 4511 4492 constitute the data sets (‘Histograms’) to be used by GSAS-II for analysis. 4512 4493 Selection of these items does not produce any information in the data window … … 4517 4498 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></h2> 4518 4499 4519 <p class=MsoNormal style='margin-left:.5in'>When a powder diffraction dataset 4520 (prefix ‘PWDR’) is selected from the <a href="#Data_tree"><span 4521 style='mso-fareast-font-family:"Times New Roman"'>data tree</span></a> the 4522 dataset is plotted. The observed data points are shown as blue crosses and 4523 where fit, the calculated pattern is shown as a green line; the background is 4524 shown as red line. The difference curve is shown as a cyan line. Reflection 4525 positions are shown with small vertical lines. </p> 4526 4527 <p class=MsoNormal style='margin-left:.5in'>Each powder diffraction dataset has 4528 a number of children in the tree as are shown below. Clicking on any of them 4529 produces changes in the plot and allows access to different parameters 4530 associated with the dataset. </p> 4531 4532 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4533 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4534 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4535 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4536 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4537 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4538 href="#PWDR_Comments">Comments</a><o:p></o:p></span></p> 4539 4540 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4541 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4542 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4543 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4544 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4545 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4546 href="#PWDR_Limits">Limits</a><o:p></o:p></span></p> 4547 4548 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4549 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4550 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4551 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4552 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4553 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4554 href="#PWDR_Background">Background</a><o:p></o:p></span></p> 4555 4556 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4557 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4558 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4559 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4560 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4561 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4562 href="#PWDR_Instrument_Parameters">Instrument Parameters</a><o:p></o:p></span></p> 4563 4564 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4565 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4566 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4567 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4568 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4569 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4570 href="#PWDR_Sample_Parameters">Sample Parameters</a><o:p></o:p></span></p> 4571 4572 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4573 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4574 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4575 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4576 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4577 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4578 href="#PWDR_Peak_List">Peak List</a><o:p></o:p></span></p> 4579 4580 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4581 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4582 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4583 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4584 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4585 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4586 href="#PWDR_Index_Peak_List">Index Peak List</a><o:p></o:p></span></p> 4587 4588 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4589 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4590 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4591 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4592 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4593 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4594 href="#PWDR_Unit_Cells_List">Unit Cells List</a><o:p></o:p></span></p> 4595 4596 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4597 margin-left:.75in;text-indent:-.25in;mso-list:l7 level1 lfo12;tab-stops:list .5in'><![if !supportLists]><span 4598 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4599 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4600 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4601 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'><a 4602 href="#PWDR_Reflection_Lists">Reflection Lists</a><o:p></o:p></span></p> 4603 4604 <h5 style='margin-left:.5in'>What can I do here?</h5> 4605 4606 <p style='margin-left:1.0in'>Menu <b>Commands</b> </p> 4607 4608 <p class=MsoListParagraph style='margin-left:1.5in;mso-add-space:auto; 4609 text-indent:-.25in;mso-list:l21 level1 lfo14'><![if !supportLists]><span 4610 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 4611 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>a. <b>Error 4612 Analysis</b> – this produces a ‘normal probability’ plot for the refinement 4613 result as bounded by the limits. The slope and intercept of the curve in the 4614 central region (-1 < / < 1) are shown on the plot status line. The slope 4615 is the square root of GOF for the best fit set of data points (~68% of the 4616 data).</p> 4617 4618 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 4619 is plotted here?</span></h5> 4620 4621 <p style='margin-left:1.0in'>The powder patterns that are part of your project 4622 are shown on this page. They can be displayed as a stack of powder patterns, 4623 just a single pattern or as a contour image of the peak intensities. What can 4624 be done here will depend on home many patterns are shown as well as what mode 4625 is selected. Note that the tick marks and difference curve positions can be 4626 customized, as <a href="#PWDR_dragticks">discussed below</a>. </p> 4627 4628 <p class=MsoNormal style='margin-left:1.0in'>Similar plots to the one here are 4629 displayed when different subtree items are selected and on those plots it is 4630 possible to view and in some cases edit information associated with the 4631 histogram. As examples: </p> 4632 4633 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4634 margin-left:1.0in;text-indent:-.25in;mso-list:l8 level1 lfo15;tab-stops:list .5in'><a 4635 name=otherPWDR></a><![if !supportLists]><span style='font-size:10.0pt; 4636 mso-bidi-font-size:12.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; 4637 mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span 4638 style='font:7.0pt "Times New Roman"'> 4639 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>By 4640 selecting the <a href="#PWDR_Limits">Limits</a> entry, range of data used, as 4641 well as possible excluded regions, can be set. <o:p></o:p></span></p> 4642 4643 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4644 margin-left:1.0in;text-indent:-.25in;mso-list:l8 level1 lfo15;tab-stops:list .5in'><![if !supportLists]><span 4645 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4646 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4647 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4648 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Selecting 4649 <a href="#PWDR_Reflection_Lists">Reflection Lists</a> allows display of 4650 reflection indicies (hkl values) for a selected phase. Letting the mouse rest 4651 unmoved at the position of a reflection in 2-theta, Q, etc. (the vertical 4652 position does not matter) will cause these to be displayed. After a short delay 4653 a "tool tip" will appear with indicies for any reflections close to 4654 the lateral mouse position. <o:p></o:p></span></p> 4655 4656 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4657 margin-left:1.0in;text-indent:-.25in;mso-list:l8 level1 lfo15;tab-stops:list .5in'><![if !supportLists]><span 4658 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4659 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4660 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4661 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Selecting 4662 <a href="#PWDR_Background">Background</a> allows a mouse to be used to define 4663 fixed points where a background curve can be fitted to those points. <o:p></o:p></span></p> 4664 4665 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4666 margin-left:1.0in;text-indent:-.25in;mso-list:l8 level1 lfo15;tab-stops:list .5in'><![if !supportLists]><span 4667 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4668 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4669 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4670 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Selecting 4671 <a href="#PWDR_Instrument_Parameters">Instrument Parameters</a>displays plot of 4672 peak widths as a function of 2theta or Q. <o:p></o:p></span></p> 4673 4674 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4675 margin-left:1.0in;text-indent:-.25in;mso-list:l8 level1 lfo15;tab-stops:list .5in'><![if !supportLists]><span 4676 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4677 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4678 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4679 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Selecting 4680 <a href="#PWDR_Peak_List">Peak List</a> allows postions of peaks to be defined 4681 for use in direct peak fitting. <o:p></o:p></span></p> 4682 4683 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 4684 margin-left:1.0in;text-indent:-.25in;mso-list:l8 level1 lfo15;tab-stops:list .5in'><![if !supportLists]><span 4685 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 4686 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 4687 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 4688 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Selecting 4689 <a href="#PWDR_Unit_Cells_List">Unit Cells List</a> can show the positions of 4690 reflections for an arbitrary set of unit cell parameters, optionally with space 4691 group extinctions applied. <o:p></o:p></span></p> 4692 4693 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 4694 can I do with the plot?</span></h5> 4695 4696 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4697 "Times New Roman"'>Move mouse <o:p></o:p></span></p> 4698 4699 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4700 "Times New Roman"'>As the mouse cursor is moved across the plot, the plot 4701 status line will show the cursor position as 2Theta, d-spacing and the 4702 intensity. For a Q-plot, Q is shown instead of 2Theta. <o:p></o:p></span></p> 4703 4704 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4705 "Times New Roman"'>Press keyboard keys <o:p></o:p></span></p> 4706 4707 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4708 "Times New Roman"'><a href="#PWDR_keylist">See below</a>. The "s" and 4709 "w" modes are commonly used. <a name="PWDR_dragticks"></a><o:p></o:p></span></p> 4710 4711 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4712 "Times New Roman"'>Drag tickmarks <o:p></o:p></span></p> 4713 4714 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4715 "Times New Roman"'>Click on any tick mark and while holding the left mouse 4716 button down move them to where you want them to be displayed (press the s key 4717 for Sqrt(I) mode to reset to the defaults). With multiple phases, clicking on 4718 the 2nd phase, etc. changes the vertical spacing between phases. Tick marks can 4719 be dragged only when the main PWDR or Reflection Lists tree items are selected. 4720 <o:p></o:p></span></p> 4721 4722 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4723 "Times New Roman"'>Drag the difference curve <o:p></o:p></span></p> 4724 4725 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4726 "Times New Roman"'>When the "normal" obs-calc plot is shown (as 4727 opposed to the preferred "w" mode plot where (obs-calc)/sigma is 4728 displayed, click on any point in the difference curve and while holding the 4729 left mouse button down move the curve to where you want it to be displayed 4730 (press the s key for Sqrt(I) mode to reset it to the default). The difference 4731 curve can be dragged only when the main PWDR or Reflection Lists tree items are 4732 selected. <o:p></o:p></span></p> 4733 4734 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4735 "Times New Roman"'>Display/edit histogram information <o:p></o:p></span></p> 4736 4737 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4738 "Times New Roman"'>By selecting different tree items within the current 4739 histogram, it is possible to display and in some cases edit information 4740 associated with the histogram. <a href="#otherPWDR">See above.</a> <o:p></o:p></span></p> 4741 4742 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4743 "Times New Roman"'>Create a Publication-ready plot <o:p></o:p></span></p> 4744 4745 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4746 "Times New Roman"'>Press the green "P" button to generate a 4747 customizable version of the displayed plot that can be exported at high 4748 resolution. <o:p></o:p></span></p> 4749 4750 <p style='margin-left:.5in'><a name="PWDR_keylist"></a>The following key press 4751 characters are defined (not for all plot modes). These actions can also be 4752 initiated from the <b>Key Press</b> button on the plot toolbar. </p> 4753 4754 <h4 style='margin-left:.5in'>For line plots:</h4> 4755 4756 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4757 "Times New Roman"'>s: Sqrt(I) on/off</span></b><span style='mso-fareast-font-family: 4758 "Times New Roman"'><o:p></o:p></span></p> 4759 4760 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4761 "Times New Roman"'>changes the y-axis to be the square-root of the intensity. 4762 The tick mark and the difference curve location is reset. <o:p></o:p></span></p> 4763 4764 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4765 "Times New Roman"'>w: toggle diff plot mode</span></b><span style='mso-fareast-font-family: 4766 "Times New Roman"'><o:p></o:p></span></p> 4767 4768 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4769 "Times New Roman"'>for the pattern selected from the data tree, this will 4770 replace the difference (obs-calc) curve with the differences divided by their 4771 standard uncertainty (esd) values [(obs-calc)/sigma], which shows the 4772 significance of the deviations in the fit of the pattern. <i>(Recommended)</i>. 4773 <o:p></o:p></span></p> 4774 4775 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4776 "Times New Roman"'>b: subtract background</span></b><span style='mso-fareast-font-family: 4777 "Times New Roman"'><o:p></o:p></span></p> 4778 4779 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4780 "Times New Roman"'>Subtracts the fitted background from the powder pattern. 4781 Pressing this again turns the mode off. <o:p></o:p></span></p> 4782 4783 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4784 "Times New Roman"'>n: log(I) on/off</span></b><span style='mso-fareast-font-family: 4785 "Times New Roman"'><o:p></o:p></span></p> 4786 4787 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4788 "Times New Roman"'>changes the y-axis to be the log10 of the intensity; 4789 difference curve is not shown for log(I) on. <o:p></o:p></span></p> 4790 4791 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4792 "Times New Roman"'>q: toggle Q plot</span></b><span style='mso-fareast-font-family: 4793 "Times New Roman"'><o:p></o:p></span></p> 4794 4795 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4796 "Times New Roman"'>changes the x-axis from 2Theta to Q. This will put multiple 4797 powder patterns taken at different wavelengths/types on the same x-axis scale. <o:p></o:p></span></p> 4798 4799 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4800 "Times New Roman"'>t: toggle D-space plot</span></b><span style='mso-fareast-font-family: 4801 "Times New Roman"'><o:p></o:p></span></p> 4802 4803 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4804 "Times New Roman"'>changes the x-axis from 2Theta to d-space. This will put 4805 multiple powder patterns taken at different wavelengths/types on the same 4806 x-axis scale. May not be very useful with data over a wide range. <o:p></o:p></span></p> 4807 4808 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4809 "Times New Roman"'>e: set excluded region</span></b><span style='mso-fareast-font-family: 4810 "Times New Roman"'> <o:p></o:p></span></p> 4811 4812 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4813 "Times New Roman"'>Defines a new excluded region: press the "e" key 4814 with the mouse on one side of the region. Move the mouse to the other side and 4815 and press "e" again. The region markers (magenta dashed lines) can be 4816 dragged to new positions. Available only when the <a href="#PWDR_Limits">Limits</a> 4817 tree entry is selected. <o:p></o:p></span></p> 4818 4819 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4820 "Times New Roman"'>x: show excluded region</span></b><span style='mso-fareast-font-family: 4821 "Times New Roman"'> <o:p></o:p></span></p> 4822 4823 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4824 "Times New Roman"'>Normally all observed data is plotted. When the 4825 "x" key is pressed, data inside excluded regions are not shown. <o:p></o:p></span></p> 4826 4827 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4828 "Times New Roman"'>.: scaling diagnostic</span></b><span style='mso-fareast-font-family: 4829 "Times New Roman"'> <o:p></o:p></span></p> 4830 4831 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4832 "Times New Roman"'>When the '.' key is pressed, data are plotted where the 4833 intensity scale shows the equivalent number of counts so that uncertainty on 4834 each point is the sqrt(I). <o:p></o:p></span></p> 4835 4836 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4837 "Times New Roman"'>g: grid lines</span></b><span style='mso-fareast-font-family: 4838 "Times New Roman"'> <o:p></o:p></span></p> 4839 4840 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4841 "Times New Roman"'>Draws vertical and horizontal grid lines at all axis label 4842 positions. <o:p></o:p></span></p> 4843 4844 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4845 "Times New Roman"'>a: add magnification region</span></b><span 4846 style='mso-fareast-font-family:"Times New Roman"'> <o:p></o:p></span></p> 4847 4848 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4849 "Times New Roman"'>Adds a magnification region to the plot and sets the 4850 magnification amount to x2. This can be edited (or deleted) in the table that 4851 is shown when the main PWDR tree entry is selected. <o:p></o:p></span></p> 4852 4853 <h4 style='margin-left:.5in'>For line plots with more than one powder pattern: </h4> 4854 4855 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4856 "Times New Roman"'>c: contour on/off</span></b><span style='mso-fareast-font-family: 4857 "Times New Roman"'><o:p></o:p></span></p> 4858 4859 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4860 "Times New Roman"'>if multiple powder profiles, then a contour plot is shown of 4861 the observed intensities. All data sets must be the same length as the first 4862 one to be included in the contour plot. <o:p></o:p></span></p> 4863 4864 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4865 "Times New Roman"'>S: set color Scheme</span></b><span style='mso-fareast-font-family: 4866 "Times New Roman"'> <o:p></o:p></span></p> 4867 4868 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4869 "Times New Roman"'>Select the color map used for contour plots <o:p></o:p></span></p> 4870 4871 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4872 "Times New Roman"'>m: toggle single/multiple plot</span></b><span 4873 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 4874 4875 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4876 "Times New Roman"'>for multiple powder profiles, this will show only the one 4877 selected from the data tree. The offset options (below) are not active. <o:p></o:p></span></p> 4878 4879 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4880 "Times New Roman"'>f: select data</span></b><span style='mso-fareast-font-family: 4881 "Times New Roman"'><o:p></o:p></span></p> 4882 4883 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4884 "Times New Roman"'>Allows only some powder patterns to be plotted, rather than 4885 all. <o:p></o:p></span></p> 4886 4887 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4888 "Times New Roman"'>+,=: no selection</span></b><span style='mso-fareast-font-family: 4889 "Times New Roman"'><o:p></o:p></span></p> 4890 4891 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4892 "Times New Roman"'>for multiple powder profiles, only the observed curve is 4893 shown when this mode is turned on ('+' and '=' do exactly the same thing).<o:p></o:p></span></p> 4894 4895 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4896 "Times New Roman"'>/: normalize</span></b><span style='mso-fareast-font-family: 4897 "Times New Roman"'><o:p></o:p></span></p> 4898 4899 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4900 "Times New Roman"'>for multiple powder profiles, all diffraction datasets are 4901 normalized so that the maximum intensity is 1. <o:p></o:p></span></p> 4902 4903 <h4 style='margin-left:.5in'>Offset modes for line plots in waterfall mode 4904 (multiple patterns only): </h4> 4905 4906 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4907 "Times New Roman"'>l: offset left</span></b><span style='mso-fareast-font-family: 4908 "Times New Roman"'><o:p></o:p></span></p> 4909 4910 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4911 "Times New Roman"'>for a waterfall plot of multiple powder profiles, increase 4912 the offset so that later plots are shifted more to the left relative to 4913 previous plots. <o:p></o:p></span></p> 4914 4915 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4916 "Times New Roman"'>r: offset right</span></b><span style='mso-fareast-font-family: 4917 "Times New Roman"'><o:p></o:p></span></p> 4918 4919 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4920 "Times New Roman"'>for a waterfall plot of multiple powder profiles, increase 4921 the offset to the right (or decrease the left offset.) <o:p></o:p></span></p> 4922 4923 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4924 "Times New Roman"'>d,D: offset down</span></b><span style='mso-fareast-font-family: 4925 "Times New Roman"'><o:p></o:p></span></p> 4926 4927 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4928 "Times New Roman"'>for a waterfall plot of multiple powder profiles, increase 4929 the offset down. (D does the same as d but to a much larger amount) <o:p></o:p></span></p> 4930 4931 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4932 "Times New Roman"'>u,U: offset up</span></b><span style='mso-fareast-font-family: 4933 "Times New Roman"'><o:p></o:p></span></p> 4934 4935 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4936 "Times New Roman"'>for a waterfall plot of multiple powder profiles, increase 4937 the offset up. (U does the same as u but to a much larger amount) <o:p></o:p></span></p> 4938 4939 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4940 "Times New Roman"'>o: reset offset</span></b><span style='mso-fareast-font-family: 4941 "Times New Roman"'><o:p></o:p></span></p> 4942 4943 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4944 "Times New Roman"'>for a waterfall plot of multiple powder profiles, reset to 4945 no offset. <o:p></o:p></span></p> 4946 4947 <h4 style='margin-left:.5in'>For contour plots:</h4> 4948 4949 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4950 "Times New Roman"'>d: lower contour max</span></b><span style='mso-fareast-font-family: 4951 "Times New Roman"'><o:p></o:p></span></p> 4952 4953 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4954 "Times New Roman"'>this lowers the level chosen for the highest contour color. <o:p></o:p></span></p> 4955 4956 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4957 "Times New Roman"'>u: raise contour max</span></b><span style='mso-fareast-font-family: 4958 "Times New Roman"'><o:p></o:p></span></p> 4959 4960 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4961 "Times New Roman"'>this raises the level chosen for the highest contour color <o:p></o:p></span></p> 4962 4963 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4964 "Times New Roman"'>i: interpolation method</span></b><span style='mso-fareast-font-family: 4965 "Times New Roman"'><o:p></o:p></span></p> 4966 4967 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4968 "Times New Roman"'>this changes the method used to represent the contours. If 4969 selected a dialog box appears with all the possible choices. Default is 4970 ‘nearest’; the other useful choice is ‘bilinear’, this will smooth out the 4971 contours. <o:p></o:p></span></p> 4972 4973 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4974 "Times New Roman"'>s: color scheme</span></b><span style='mso-fareast-font-family: 4975 "Times New Roman"'><o:p></o:p></span></p> 4976 4977 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4978 "Times New Roman"'>this changes the color scheme for the contouring. Default is 4979 ‘Paired’, black/ white options are ‘Greys’ and ‘binary’ (for black on white) or 4980 ‘gray’ (for white on black). Others can be very colorful (but not useful!) <o:p></o:p></span></p> 4981 4982 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4983 "Times New Roman"'>c: contour off/on</span></b><span style='mso-fareast-font-family: 4984 "Times New Roman"'><o:p></o:p></span></p> 4985 4986 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4987 "Times New Roman"'>this turns off contouring and returns to a waterfall plot 4988 with any offsets applied. <o:p></o:p></span></p> 4989 4990 <h4 style='margin-left:.5in'>For display of reflections from magnetic unit 4991 space groups </h4> 4992 4993 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 4994 "Times New Roman"'>j: show next; reset use flag</span></b><span 4995 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 4996 4997 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4998 "Times New Roman"'>Show the next magnetic space group in the list, clearing the 4999 "Use" flag for the currently displayed space group. (available from 5000 Index Unit Cells only). <o:p></o:p></span></p> 5001 5002 <p class=MsoNormal style='margin-left:.75in'><b><span style='mso-fareast-font-family: 5003 "Times New Roman"'>k: show next</span></b><span style='mso-fareast-font-family: 5004 "Times New Roman"'><o:p></o:p></span></p> 5005 5006 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5007 "Times New Roman"'>Show the next magnetic space group in the list. The 5008 "Use" flag for the currently displayed space group is unchanged. 5009 (available from Index Unit Cells only). <o:p></o:p></span></p> 5010 5011 <h4 style='margin-left:.25in'><a name="PWDR_Comments"><u>Comments</u></a></h4> 5012 5013 <p class=MsoNormal style='margin-left:.5in'>This window shows whatever comment 5014 lines (preceded by “#”) found when the powder data file was read by GSAS-II. If 5015 you are lucky, there will be useful information here (e.g. sample name, date 5016 collected, wavelength used, etc.). If not, this window will be blank. The text 5017 is read-only.</p> 5018 5019 <h4 style='margin-left:.25in'><a name="PWDR_Limits"><u>Limits</u></a></h4> 5020 5021 <p class=MsoNormal style='margin-left:.5in'>This window shows the limits in 5022 position to be used in any fitting for this powder pattern. The ‘original’ 5023 values are obtained from the minimum & maximum values in the powder 5024 pattern. The ‘new’ values determine the range of data that will be used in fitting. 5025 Units are 2Theta for CW data and time (microsec) for TOF data. </p> 5026 5027 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5028 can I do here?<o:p></o:p></span></h5> 5029 5030 <p style='margin-left:.75in'>You can change the "new" values for Tmin 5031 and Tmax as needed. Change the upper and lower Tmin values by clicking on the 5032 appropriate vertical line and dragging it to the right or left or by typing 5033 values into the data window. </p> 5034 5035 <p style='margin-left:.75in'>Menu ‘<b>Edit Limits</b>’ </p> 5036 5037 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: 5038 "Times New Roman"'>Copy</span></b><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 5039 5040 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5041 "Times New Roman"'>this copies the limits shown to other selected powder 5042 patterns. If used, a dialog box (Copy Parameters) will appear showing the list 5043 of available powder patterns, you can copy the limits parameters to any or all 5044 of them; select ‘All’ to copy them to all patterns. Then select ‘OK’ to do the 5045 copy; ‘Cancel’ to cancel the operation. <o:p></o:p></span></p> 5046 5047 <p class=MsoNormal style='margin-left:1.0in'><b><span style='mso-fareast-font-family: 5048 "Times New Roman"'>Add Exclude</span></b><span style='mso-fareast-font-family: 5049 "Times New Roman"'><o:p></o:p></span></p> 5050 5051 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5052 "Times New Roman"'>Select this menu item and click on a data point. A pair of 5053 magenta lines is drawn to indicate a range that should be excluded. (No green 5054 solid line with the computed pattern is shown for those data). The magenta 5055 lines can be dragged, as described below for setting data limits. <o:p></o:p></span></p> 5056 5057 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5058 is plotted here?</span></h5> 5059 5060 <p style='margin-left:1.0in'>The plot is the same as for <a href="#PWDR">Powder 5061 Histograms - type PWDR</a> and the key press commands are all the same. 5062 However, two vertical lines are displayed, green for the lower Tmin value and 5063 red for the upper Tmin value. These can be dragged to set limits. </p> 5064 5065 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5066 can I do with the plot?</span></h5> 5067 5068 <p style='margin-left:1.0in'>The upper and lower Tmin values can be changed by 5069 clicking on the appropriate vertical line and dragging it to the right or left. 5070 </p> 5071 5072 <h4 style='margin-left:.25in'><a name="PWDR_Background"><u><span 5073 style='mso-fareast-font-family:"Times New Roman"'>Background</span></u></a><u><span 5074 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></u></h4> 5075 5076 <p class=MsoNormal style='margin-left:.5in'><a name=Background></a><span 5077 style='mso-fareast-font-family:"Times New Roman"'>This window shows the choice 5078 of background functions and coefficients to be used in fitting this powder pattern. 5079 There are three types of contributions available for the background:<o:p></o:p></span></p> 5080 5081 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5082 "Times New Roman"'>1). A continuous empirical function (‘chebyschev’, 5083 ‘chebyschev-1’, ‘cosine’, ‘lin interpolate’, ‘inv interpolate’ & ‘log 5084 interpolate’). The latter three select fixed points with spacing that is equal, 5085 inversely equal or equal on a log scale of the x-coordinate. The set of 5086 magnitudes at each point then comprise the background variables. All are 5087 refined when refine is selected. Note that ‘chebyschev-1' is a better choice 5088 than ‘chebyschev’. <o:p></o:p></span></p> 5089 5090 <p class=MsoNormal style='margin-left:.5in;tab-stops:0in'><span 5091 style='mso-fareast-font-family:"Times New Roman"'>2). A set of Debye diffuse 5092 scattering equation terms of the form:<o:p></o:p></span></p> 5093 5094 <p class=MsoNormal style='margin-left:.5in;tab-stops:0in'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 5095 m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span 5096 style='font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman"'><m:r>B</m:r><m:r>=</m:r><m:r>A</m:r></span></i><m:d><m:dPr><span 5097 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 5098 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 5099 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:f><m:fPr><m:type m:val="skw"/><span 5100 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 5101 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 5102 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: 5103 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 5104 "Times New Roman"'><m:r>sinQR</m:r></span></i></m:num><m:den><i 5105 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 5106 mso-fareast-font-family:"Times New Roman"'><m:r>QR</m:r></span></i></m:den></m:f></m:e></m:d><m:sSup><m:sSupPr><span 5107 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 5108 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 5109 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 5110 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 5111 "Times New Roman"'><m:r>e</m:r></span></i></m:e><m:sup><i style='mso-bidi-font-style: 5112 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 5113 "Times New Roman"'><m:r>-</m:r><m:r>U</m:r></span></i><m:sSup><m:sSupPr><span 5114 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 5115 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 5116 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 5117 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 5118 "Times New Roman"'><m:r>Q</m:r></span></i></m:e><m:sup><i 5119 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 5120 mso-fareast-font-family:"Times New Roman"'><m:r>2</m:r></span></i></m:sup></m:sSup></m:sup></m:sSup></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 5121 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 5122 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 5123 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 5124 id="_x0000_i1025" type="#_x0000_t75" style='width:130.5pt;height:23.25pt'> 5125 <v:imagedata src="gsasII_files/image001.png" o:title="" chromakey="white"/> 5126 </v:shape><![endif]--><![if !vml]><img width=174 height=31 5127 src="gsasII_files/image046.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 5128 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 5129 5130 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5131 "Times New Roman"'>where A,R & U are the possible variables and can be 5132 individually selected as desired; Q = 2π/d.<o:p></o:p></span></p> 5133 5134 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5135 "Times New Roman"'>3). A set of individual Bragg peaks using the pseudo-Voigt 5136 profile function as their shapes. Their parameters are ‘pos’, ’int’, ‘sig’ 5137 & ‘gam’; each can be selected for refinement. The default values for sig 5138 & gam (=0.10) are for very sharp peaks, you may adjust them accordingly to 5139 the kind of peak you are trying to fit before trying to refine them.<o:p></o:p></span></p> 5140 5141 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5142 can I do here?<o:p></o:p></span></h5> 5143 5144 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 5145 text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5146 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 5147 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5148 style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight: 5149 normal'>Background</b>’ – <o:p></o:p></span></p> 5150 5151 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5152 auto;text-indent:-.25in;mso-list:l6 level1 lfo19'><![if !supportLists]><span 5153 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 5154 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 5155 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Copy</span></b><span 5156 style='mso-fareast-font-family:"Times New Roman"'> – this copies the background 5157 parameters shown to other selected powder patterns. If used, a dialog box (Copy 5158 Parameters) will appear showing the list of available powder patterns, you can 5159 copy the background parameters to any or all of them; select ‘All’ to copy them 5160 to all patterns. Then select ‘OK’ to do the copy; ‘Cancel’ to cancel the 5161 operation.<o:p></o:p></span></p> 5162 5163 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5164 auto;text-indent:-.25in;mso-list:l6 level1 lfo19'><![if !supportLists]><span 5165 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 5166 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 5167 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Copy 5168 flags </span></b><span style='mso-fareast-font-family:"Times New Roman"'>– this 5169 copies only the refinement flags shown to other selected powder patterns. If 5170 used, a dialog box (Copy Refinement Flags) will appear showing the list of 5171 available powder patterns, you can copy the refinement flags to any or all of 5172 them; select ‘All’ to copy them to all patterns. Then select ‘OK’ to do the 5173 copy; ‘Cancel’ to cancel the operation.<o:p></o:p></span></p> 5174 5175 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 5176 auto;text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5177 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 5178 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5179 style='mso-fareast-font-family:"Times New Roman"'>You can select a different 5180 Background function from the pull down tab.<o:p></o:p></span></p> 5181 5182 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 5183 auto;text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5184 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 5185 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5186 style='mso-fareast-font-family:"Times New Roman"'>You can choose to refine/not 5187 refine the background coefficients.<o:p></o:p></span></p> 5188 5189 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 5190 auto;text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5191 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 5192 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5193 style='mso-fareast-font-family:"Times New Roman"'>You can select the number of 5194 background coefficients to be used (1-36).<o:p></o:p></span></p> 5195 5196 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 5197 auto;text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5198 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 5199 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5200 style='mso-fareast-font-family:"Times New Roman"'>You can change individual 5201 background coefficient values. Enter the value then press Enter or click the 5202 mouse elsewhere in the Background window. This will set the new value.<o:p></o:p></span></p> 5203 5204 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 5205 auto;text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5206 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>6.<span 5207 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5208 style='mso-fareast-font-family:"Times New Roman"'>You can introduce one or more 5209 Debye scattering terms into the background. For each one you should enter a 5210 sensible value for ‘R’ – an expected interatomic distance in an amorphous phase 5211 is appropriate. Select parameters to refine; usually start with the ‘A’ 5212 coefficients.<o:p></o:p></span></p> 5213 5214 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; 5215 text-indent:-.25in;mso-list:l23 level1 lfo17'><![if !supportLists]><span 5216 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>7.<span 5217 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5218 style='mso-fareast-font-family:"Times New Roman"'>You can introduce single 5219 Bragg peaks into the background. For each you should specify at least the 5220 position. Select parameters to refine; usually start with the ‘int’ 5221 coefficients.<o:p></o:p></span></p> 5222 5223 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5224 is plotted here?</span></h5> 5225 5226 <p style='margin-left:1.0in'>The plot is the same as for <a href="#PWDR">Powder 5227 Histograms - type PWDR</a> and the key press commands are largerly the same. 5228 Specific to this plot are fixed background points. These can be added, deleted 5229 and moved. Once that is done the background parameters for the selected 5230 function can be fitted to the fixed points. </p> 5231 5232 <h4 style='margin-left:.25in'><a name="PWDR_Instrument_Parameters"><u><span 5233 style='mso-fareast-font-family:"Times New Roman"'>Instrument Parameters</span></u></a><u><span 5234 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></u></h4> 5235 5236 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5237 "Times New Roman"'>This window shows the instrument parameters for the selected 5238 powder data set. The plot window shows the corresponding resolution curves. 5239 Solid lines are for the default values (in parentheses), dashed lines from the 5240 refined values and ‘+’ for individual entries in the ‘<span style='color:#0070C0'>Peak_List</span>’. 5241 </span><span class=MsoHyperlink><span style='color:windowtext;text-decoration: 5242 none;text-underline:none'><o:p></o:p></span></span></p> 5243 5244 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5245 can I do here?</span><span class=MsoHyperlink><span style='color:#00B0F0; 5246 text-decoration:none;text-underline:none'><o:p></o:p></span></span></h5> 5247 5248 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 5249 text-indent:-.25in;mso-list:l11 level1 lfo21'><![if !supportLists]><span 5250 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5251 color:windowtext;text-decoration:none;text-underline:none'><span 5252 style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'> 5253 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5254 "Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight:normal'>Operations</b>’ 5255 –<span class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5256 text-underline:none'><o:p></o:p></span></span></span></p> 5257 5258 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5259 auto;text-indent:-.25in;mso-list:l17 level2 lfo23;tab-stops:list 1.0in'><![if !supportLists]><span 5260 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5261 color:windowtext;text-decoration:none;text-underline:none'><span 5262 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 5263 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 5264 style='mso-fareast-font-family:"Times New Roman"'>Load profile… </span></b><span 5265 style='mso-fareast-font-family:"Times New Roman"'>- loads a GSAS-II instrument 5266 parameter file (name.instprm), replacing the existing instrument parameter 5267 values. All refinement flags are unset.<span class=MsoHyperlink><b 5268 style='mso-bidi-font-weight:normal'><span style='color:windowtext;text-decoration: 5269 none;text-underline:none'><o:p></o:p></span></b></span></span></p> 5270 5271 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5272 auto;text-indent:-.25in;mso-list:l17 level2 lfo23;tab-stops:list 1.0in'><![if !supportLists]><span 5273 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5274 color:windowtext;text-decoration:none;text-underline:none'><span 5275 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 5276 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 5277 style='mso-fareast-font-family:"Times New Roman"'>Save profile… - </span></b><span 5278 style='mso-fareast-font-family:"Times New Roman"'>saves the current instrument 5279 parameter values in a simple text file (name.instprm); you will be prompted for 5280 the file name – do not change the extension. This file may be edited but heed 5281 the warning to not change the parameter names, the order of the parameter 5282 records or add new parameter records as this will invalidate the file. You may 5283 only change the numeric values if necessary. You can change or add comment 5284 records (begins with ‘#’).<span class=MsoHyperlink><b style='mso-bidi-font-weight: 5285 normal'><span style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></b></span></span></p> 5286 5287 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5288 auto;text-indent:-.25in;mso-list:l17 level2 lfo23;tab-stops:list 1.0in'><![if !supportLists]><span 5289 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5290 color:windowtext;text-decoration:none;text-underline:none'><span 5291 style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 5292 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 5293 style='mso-fareast-font-family:"Times New Roman"'>Reset profile </span></b><span 5294 style='mso-fareast-font-family:"Times New Roman"'>– resets the values for the 5295 instrument parameters to the default values shown in parentheses for each 5296 entry.<span class=MsoHyperlink><b style='mso-bidi-font-weight:normal'><span 5297 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></b></span></span></p> 5298 5299 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5300 auto;text-indent:-.25in;mso-list:l17 level2 lfo23;tab-stops:list 1.0in'><![if !supportLists]><span 5301 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5302 color:windowtext;text-decoration:none;text-underline:none'><span 5303 style='mso-list:Ignore'>d.<span style='font:7.0pt "Times New Roman"'> 5304 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 5305 style='mso-fareast-font-family:"Times New Roman"'>Copy</span></b><span 5306 style='mso-fareast-font-family:"Times New Roman"'> – this copies the instrument 5307 parameters shown to other selected powder patterns. If used, a dialog box (Copy 5308 parameters) will appear showing the list of available powder patterns, you can 5309 copy the instrument parameters to any or all of them; select ‘All’ to copy them 5310 to all patterns. Then select ‘OK’ to do the copy; ‘Cancel’ to cancel the 5311 operation. The copy will only work for instrument parameters that are 5312 commensurate with the one that is shown, e.g. single radiation patterns will 5313 not be updated from K</span><sub><span style='font-family:Symbol;mso-fareast-font-family: 5314 "Times New Roman"'>a</span></sub><sub><span style='mso-fareast-font-family: 5315 "Times New Roman"'>1</span></sub><span style='mso-fareast-font-family:"Times New Roman"'>/K</span><sub><span 5316 style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>a</span></sub><sub><span 5317 style='mso-fareast-font-family:"Times New Roman"'>2</span></sub><span 5318 style='mso-fareast-font-family:"Times New Roman"'> ones.<span 5319 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5320 text-underline:none'><o:p></o:p></span></span></span></p> 5321 5322 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 5323 auto;text-indent:-.25in;mso-list:l17 level2 lfo23;tab-stops:list 1.0in'><![if !supportLists]><span 5324 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5325 color:windowtext;text-decoration:none;text-underline:none'><span 5326 style='mso-list:Ignore'>e.<span style='font:7.0pt "Times New Roman"'> 5327 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 5328 style='mso-fareast-font-family:"Times New Roman"'>Copy flags </span></b><span 5329 style='mso-fareast-font-family:"Times New Roman"'>- – this copies the instrument 5330 parameter refinement flags shown to other selected powder patterns. If used, a 5331 dialog box (Copy refinement flags) will appear showing the list of available 5332 powder patterns, you can copy the instrument parameter refinement flags to any 5333 or all of them; select ‘All’ to copy them to all patterns. Then select ‘OK’ to 5334 do the copy; ‘Cancel’ to cancel the operation. The copy will only work for 5335 instrument parameters that are commensurate with the one that is shown, e.g. 5336 single radiation patterns will not be updated from K</span><sub><span 5337 style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>a</span></sub><sub><span 5338 style='mso-fareast-font-family:"Times New Roman"'>1</span></sub><span 5339 style='mso-fareast-font-family:"Times New Roman"'>/K</span><sub><span 5340 style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>a</span></sub><sub><span 5341 style='mso-fareast-font-family:"Times New Roman"'>2</span></sub><span 5342 style='mso-fareast-font-family:"Times New Roman"'> ones.<span 5343 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5344 text-underline:none'><o:p></o:p></span></span></span></p> 5345 5346 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 5347 auto;text-indent:-.25in;mso-list:l11 level1 lfo21'><![if !supportLists]><span 5348 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5349 color:windowtext;text-decoration:none;text-underline:none'><span 5350 style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'> 5351 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5352 "Times New Roman"'>You can change any of the profile coefficients<span 5353 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5354 text-underline:none'><o:p></o:p></span></span></span></p> 5355 5356 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; 5357 text-indent:-.25in;mso-list:l11 level1 lfo21'><![if !supportLists]><span 5358 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5359 color:windowtext;text-decoration:none;text-underline:none'><span 5360 style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'> 5361 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5362 "Times New Roman"'>You can choose to refine any profile coefficients. <b 5363 style='mso-bidi-font-weight:normal'>NB</b>: In certain circumstances some 5364 choices are ignored e.g. Zero is not refined during peak fitting. Also some 5365 choices may lead to unstable refinement, e.g. Lam refinement and lattice 5366 parameter refinement. Examine the ‘</span><a href="#Covariance"><span 5367 style='mso-fareast-font-family:"Times New Roman";color:windowtext;text-decoration: 5368 none;text-underline:none'>Covariance’</span></a><span style='mso-fareast-font-family: 5369 "Times New Roman"'> display for highly correlated parameters.<span 5370 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5371 text-underline:none'><o:p></o:p></span></span></span></p> 5372 5373 <h5 style='margin-left:.5in'><span style='mso-fareast-font-family:"Times New Roman"'>What 5374 is plotted here?</span></h5> 5375 5376 <p style='margin-left:1.0in'>This plot shows the contributions to the powder 5377 pattern peak widths as delta-Q/Q (=delta-d/d) vs. Q for the Gaussian and 5378 Lorentzian parts of the profile function, in addition to the overall widths. 5379 The solid curves are based on the default values of U, V, W, X and Y shown in 5380 the <a href="#Instrument_Parameters">Instrument Parameters</a> window (shown in 5381 parentheses; these are the values for the instrument contribution that were set 5382 when the powder pattern was first read in to GSAS-II.) The dashed values are 5383 based on the refined values, if different. If individual peak fitting has been 5384 performed, the values of ‘sig’ & ‘gam’ for those peaks are plotted as ‘+’; 5385 these are computed from the fitted values of U, V, W, X and Y as well as any 5386 sig or gam values that are individually refined. </p> 5387 5388 <h4 style='margin-left:.25in'><a name="PWDR_Sample_Parameters"></a><u>Sample 5389 Parameters</u></h4> 5390 5391 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5392 "Times New Roman"'>This window shows the various sample-dependent parameters 5393 for the selected powder pattern. The presence of a refine button indicates that 5394 a parameter can be refined (all others are fixed.) All values shown in this 5395 window can be edited. Note that the last three parameters (named FreePrm<i>X</i>, 5396 <i>X</i>=1,2,3) have labels that can be changed. If changed in one histogram, 5397 the same label is used for all histograms. When a label is changed, the 5398 Comments tree item for each PWDR histogram is searched for a matching 5399 "Label=value" pair (differences in letter case between the two label 5400 strings is ignored). When found, the value is converted to a float and saved as 5401 the appropriate Sample Parameter. NB: for powder data be sure the correct 5402 instrument type is selected (<b style='mso-bidi-font-weight:normal'>Debye-Scherrer</b> 5403 or <b style='mso-bidi-font-weight:normal'>Bragg-Brentano</b>).</span></p> 5404 5405 <h5 style='margin-left:.5in'>What can I do here?</h5> 5406 5407 <p style='margin-left:1.0in'><b>Command</b> Menu items</p> 5408 5409 <p style='margin-left:1.1in'>In this window you can change parameters 5410 associated with a histogram or set them to be refined. The histogram scale 5411 factor is usually refined. For <b>Debye-Scherrer</b> mode the "Sample X 5412 displacement" is also ususally refined but the "Sample Y 5413 displacement" can only be refined when data are collected over a two-theta 5414 range that extends to greater than ~140 degrees (typically for CW Neutron). 5415 Sample absorption should not be refined when all atomic displacement parameters 5416 (Uiso or Uaniso values) are varied, as the correlation is very high. For <b>Bragg-Brentano</b>, 5417 "Sample displacement" is usually refined and for low-Z samples 5418 "Sample transparency" is usually refined. "Surface 5419 roughness" parameters are not usually refined. Remaining parameters are of 5420 use for texture or parametric studies and may be changed with the menu commands 5421 described here. </p> 5422 5423 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5424 "Times New Roman"'>Set scale<o:p></o:p></span></p> 5425 5426 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5427 "Times New Roman"'>Rescales a pattern by multiplying by the current scale 5428 factor. <o:p></o:p></span></p> 5429 5430 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5431 "Times New Roman"'>Load<o:p></o:p></span></p> 5432 5433 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5434 "Times New Roman"'>This loads sample parameters from a previously saved .samprm 5435 file. <o:p></o:p></span></p> 5436 5437 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5438 "Times New Roman"'>Save<o:p></o:p></span></p> 5439 5440 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5441 "Times New Roman"'>This saves the sample parameters to a file with the 5442 extension ’.samprm’. A file dialog box will appear to ask for the name of the 5443 file to be written. <o:p></o:p></span></p> 5444 5445 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5446 "Times New Roman"'>Copy<o:p></o:p></span></p> 5447 5448 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5449 "Times New Roman"'>This copies the sample parameters shown to other selected 5450 powder patterns. If used, a dialog box (Copy parameters) will appear showing 5451 the list of available powder patterns, you can copy the sample parameters to 5452 any or all of them; select ‘All’ to copy them to all patterns. Then select ‘OK’ 5453 to do the copy; ‘Cancel’ to cancel the operation. <o:p></o:p></span></p> 5454 5455 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5456 "Times New Roman"'>Copy selected...<o:p></o:p></span></p> 5457 5458 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5459 "Times New Roman"'>This copies only the sample parameter that are selected to 5460 other selected powder patterns, but is otherwise similar to "Copy". <o:p></o:p></span></p> 5461 5462 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5463 "Times New Roman"'>Copy flags<o:p></o:p></span></p> 5464 5465 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5466 "Times New Roman"'>This copies the sample parameter refinement flags shown to 5467 other selected powder patterns. If used, a dialog box (Copy refinement flags) 5468 will appear showing the list of available powder patterns, you can copy the 5469 sample parameter refinement flags to any or all of them; select ‘All’ to copy 5470 them to all patterns. Then select ‘OK’ to do the copy; ‘Cancel’ to cancel the 5471 operation. <o:p></o:p></span></p> 5472 5473 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5474 "Times New Roman"'>Set one value<o:p></o:p></span></p> 5475 5476 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5477 "Times New Roman"'>This is used to set a single selected sample parameter for a 5478 selected set of PWDR histograms. The same value can be used for all histograms 5479 or a dialog can be used to provide a table where you can set the values 5480 differently for each of selected histograms. <o:p></o:p></span></p> 5481 5482 <p class=MsoNormal style='margin-left:1.25in'><span style='mso-fareast-font-family: 5483 "Times New Roman"'>Load all<o:p></o:p></span></p> 5484 5485 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 5486 "Times New Roman"'>Reads a file containing a table of sample parameters and 5487 copies them to matching PWDR entries. The file will look something like the 5488 example here: <o:p></o:p></span></p> 5489 5490 <blockquote style='margin-top:5.0pt;margin-bottom:5.0pt'><pre style='margin-left: 5491 .5in'><o:p> </o:p></pre><pre style='margin-left:.5in'>#filename<span style='mso-spacerun:yes'> </span>temperature pressure ignore-me<span style='mso-spacerun:yes'> </span>humidity</pre><pre 5492 style='margin-left:.5in'>LaB6_dc250.tif<span style='mso-spacerun:yes'> </span>100<span style='mso-spacerun:yes'> </span>1<span style='mso-spacerun:yes'> </span>test<span style='mso-spacerun:yes'> </span>.2</pre><pre 5493 style='margin-left:.5in'>LaB6_dc300.tif<span style='mso-spacerun:yes'> </span>150<span style='mso-spacerun:yes'> </span>1<span style='mso-spacerun:yes'> </span>test<span style='mso-spacerun:yes'> </span>.25</pre></blockquote> 5494 5495 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5496 style='mso-fareast-font-family:"Times New Roman"'>Note that the first line(s) 5497 in the file can be a header, but each header line must start marked with a hash 5498 (#). A header is not required. "Columns" in the table are separated 5499 by one or more delimiters (which may be a comma, tab or space). Note that 5500 columns do not need to be aligned, as long as each entry is spaced by at least 5501 one delimiter. The first column in the table is used to look up PWDR entries 5502 where the initial space-delimited string after the PWDR tag ("myfile" 5503 in "PWRD myfile AZM=180...") must match the table. Subsequent columns 5504 can then be mapped to sample parameters or can be ignored, using a dialog 5505 window. <o:p></o:p></span></p> 5506 5507 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5508 style='mso-fareast-font-family:"Times New Roman"'>Rescale all<o:p></o:p></span></p> 5509 5510 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5511 style='mso-fareast-font-family:"Times New Roman"'>Allows a series of selected 5512 PWDR histograms to be put on a common scale by integrating them over a specific 5513 two-theta region and then scaling them so that the integration range will match 5514 the first pattern. <o:p></o:p></span></p> 5515 5516 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 5517 name="PWDR_Peak_List"></a><u>Peak List</u></h4> 5518 5519 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5520 style='mso-fareast-font-family:"Times New Roman"'>The Peak List data tree entry 5521 is used to fit diffraction peaks at user-supplied positions (not generated from 5522 a unit cell). Peak positions and intensities may be selected for individual 5523 refinement. Gaussian (sigma) and Lorentzian (gamma) peak widths may be varied 5524 individually or the values may be generated from the U,V & W (sigma) and X 5525 & Y (gamma) values in the Instrument Parameters tree item: If individual 5526 values are refined, then the value in the table is used. If values are not 5527 refined, then those determined by U,V & W and/or X & Y are placed in 5528 the table and are used. Likewise, the background is generated using the 5529 parameters in the Background data tree entry and the range of data used in the 5530 fit is set from the Limits tree item. Note that optionally the parameters on 5531 the Background and in the Instrument Parameters tree items may be refined as 5532 peak settings are fitted. <o:p></o:p></span></p> 5533 5534 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What 5535 can I do here?</h5> 5536 5537 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>There 5538 are three ways to interact with Peak List data tree item: through its menu, 5539 labeled <b>Peak Fitting</b>, through interaction with the peak list table, and 5540 through interactions with the plot. </p> 5541 5542 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 5543 following interactions are available with the peak table: <o:p></o:p></p> 5544 5545 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5546 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5547 "Times New Roman"'><BL>·</span><span style='mso-fareast-font-family:"Times New Roman"'> 5548 <span style='mso-spacerun:yes'> </span>You can change individual peak 5549 coefficient values. Enter the value then press Enter or Tab or click the mouse 5550 elsewhere in the Peak List window. This will set the new value. <o:p></o:p></span></p> 5551 5552 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5553 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5554 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5555 style='mso-spacerun:yes'> </span>You can change the individual refine flags 5556 either by clicking on the check boxes. <o:p></o:p></span></p> 5557 5558 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5559 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5560 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5561 style='mso-spacerun:yes'> </span>You can change all refine flags in a column 5562 by clicking on a single one and then click on the column label above. The 5563 entire column should be highlighted in blue. Type ‘y’ to set the refine flags 5564 or ‘n’ to clear the flags. This can also be done by double-clicking on the 5565 column label, which brings up a menu. <o:p></o:p></span></p> 5566 5567 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5568 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5569 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5570 style='mso-spacerun:yes'> </span>You can delete peaks in the Peak List by 5571 selecting a row by clicking on the row label to the left (multiple selection of 5572 rows is allowed). Selected rows will be highlighted in the plot (see below). 5573 Then press the Delete or backspace key. (Note that peaks can also be deleted 5574 from the plot, see below.) <o:p></o:p></span></p> 5575 5576 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5577 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5578 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5579 style='mso-spacerun:yes'> </span>You can highlight a peak by clicking or 5580 double-clicking on the row label (to the left) for a peak. The color of the 5581 line will change from blue to green. </BL><o:p></o:p></span></p> 5582 5583 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 5584 <b>Peak Fitting</b> menu contains the following commands:</p> 5585 5586 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5587 style='mso-fareast-font-family:"Times New Roman"'>Set sel. ref flags<o:p></o:p></span></p> 5588 5589 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5590 style='mso-fareast-font-family:"Times New Roman"'>If one or more row of peaks 5591 are selected by clicking on the peak label to the left, this menu item can be 5592 used to set the refinement flags for the selected reflections. <o:p></o:p></span></p> 5593 5594 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5595 style='mso-fareast-font-family:"Times New Roman"'>Set all ref flags<o:p></o:p></span></p> 5596 5597 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5598 style='mso-fareast-font-family:"Times New Roman"'>This sets refinement flags 5599 for all peaks in the table. <o:p></o:p></span></p> 5600 5601 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5602 style='mso-fareast-font-family:"Times New Roman"'>Auto search<o:p></o:p></span></p> 5603 5604 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5605 style='mso-fareast-font-family:"Times New Roman"'>This fills the table with 5606 peak positions. These are selected based on peak tops that are substantially 5607 above background. Noisy data will give spurious peaks and small peaks or 5608 shoulders will not be found. Examine results & modify as needed. <o:p></o:p></span></p> 5609 5610 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5611 style='mso-fareast-font-family:"Times New Roman"'>UnDo<o:p></o:p></span></p> 5612 5613 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5614 style='mso-fareast-font-family:"Times New Roman"'>Resets peak parameters, 5615 background and instrument parameter values varied in the last peak fitting 5616 refinement back to their original values. Use this to recover from a failed 5617 refinement. Note: only one previous refinement is saved, so this cannot be 5618 pressed twice to return to the refinement before the previous. <o:p></o:p></span></p> 5619 5620 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5621 style='mso-fareast-font-family:"Times New Roman"'>PeakFit<o:p></o:p></span></p> 5622 5623 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5624 style='mso-fareast-font-family:"Times New Roman"'>Performs a least squares fit 5625 of the peaks in Peak List to the data. Any peak parameters, background 5626 parameters and instrument parameters with refine checked will be varied in this 5627 refinement. The refinement will proceed until convergence. We suggest you vary 5628 the intensity along with the background first (the default), then vary the 5629 position and instrument parameters after. The order will depend on how poor is 5630 the initial estimate of the instrument parameters (U, V, W, X, Y & SH/L). 5631 To determine how to proceed, examine in detail the powder pattern difference 5632 curve displayed in the GSASII Plots window. If individual peaks show peak 5633 widths that are widely different, their individual sigma and gamma parameters 5634 may be refined. If the refinement results in negative peak coefficients, these 5635 will be highlighted in red. If this happens, you should use the <b>UnDo</b> 5636 menu item (above) to return to the refinement and reconsider your choice of 5637 parameters to be varied. <o:p></o:p></span></p> 5638 5639 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5640 style='mso-fareast-font-family:"Times New Roman"'>LSQ one cycle <o:p></o:p></span></p> 5641 5642 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5643 style='mso-fareast-font-family:"Times New Roman"'>Perform a single cycle of 5644 least squares refinement. This can be used in difficult cases to get a 5645 refinement started toward convergence. <o:p></o:p></span></p> 5646 5647 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5648 style='mso-fareast-font-family:"Times New Roman"'>Reset sig and gam <o:p></o:p></span></p> 5649 5650 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5651 style='mso-fareast-font-family:"Times New Roman"'>This resets the values of 5652 sigma and gamma in the table to those computed from the instrument parameters 5653 U, V, W, X & Y. <o:p></o:p></span></p> 5654 5655 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5656 style='mso-fareast-font-family:"Times New Roman"'>Peak copy<o:p></o:p></span></p> 5657 5658 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5659 style='mso-fareast-font-family:"Times New Roman"'>Copy the current set of peaks 5660 to other histogram(s) <o:p></o:p></span></p> 5661 5662 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5663 style='mso-fareast-font-family:"Times New Roman"'>Seq PeakFit<o:p></o:p></span></p> 5664 5665 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5666 style='mso-fareast-font-family:"Times New Roman"'>Fit peaks for multiple 5667 histograms <o:p></o:p></span></p> 5668 5669 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5670 style='mso-fareast-font-family:"Times New Roman"'>Clear peaks<o:p></o:p></span></p> 5671 5672 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5673 style='mso-fareast-font-family:"Times New Roman"'>This removes all the peaks 5674 from the Peak List. <o:p></o:p></span></p> 5675 5676 <p class=MsoNormal style='margin-left:1.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5677 style='mso-fareast-font-family:"Times New Roman"'>Move selected peak<o:p></o:p></span></p> 5678 5679 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5680 style='mso-fareast-font-family:"Times New Roman"'>A peak may be moved using the 5681 following process: select it in the table by clicking on its label (to left), 5682 use this menu item. The peak line will then follow movement of the mouse in the 5683 plot window. Click with the left mouse button to set a new position. Click with 5684 the right mouse button to delete that peak. Click outside the axes to abort the 5685 move and return to the previous position. (Note that peak movement is also 5686 possible with the plot window, see below.) <o:p></o:p></span></p> 5687 5688 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5689 style='mso-fareast-font-family:"Times New Roman"'>What is plotted here?</span></h5> 5690 5691 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 5692 plot window shows the observed and computed patterns, as well as the background 5693 and peak positions. Observed points are shown as blue crosses (+) and the 5694 fitted pattern is shown as a solid green line. The background is shown as a red 5695 line and the difference curve is shown as a cyan (turquoise) line, below the 5696 observed and computed pattern. Peak positions are shown as vertical blue lines 5697 (or green when selected). The upper and lower data limits are shown as red and 5698 green dashed vertical lines, respectively. </p> 5699 5700 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5701 style='mso-fareast-font-family:"Times New Roman"'>What can I do with the plot?</span><o:p></o:p></h5> 5702 5703 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><BL>For 5704 all actions involving mouse clicks such as those below, be sure that the 5705 Zoom/Pan buttons are not selected on the Plot window, as the mouse clicks will 5706 be used for zooming or panning, not the desired action. </p> 5707 5708 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5709 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5710 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5711 style='mso-spacerun:yes'> </span>You can add peaks to the Peak list using the 5712 mouse on the plot by: position the cursor pointer onto a cross for an observed 5713 point and pressing the left mouse button. The selected peak will be added to 5714 the Peak List in the appropriate position to keep peaks sorted and a blue 5715 vertical line will be plotted on that position. We recommend that you begin 5716 picking peaks from the right side of the pattern; that way the tool tip won’t 5717 be in your way as you select peaks. <o:p></o:p></span></p> 5718 5719 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5720 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5721 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5722 style='mso-spacerun:yes'> </span>You can delete peaks using the mouse on the 5723 plot by positioning the pointer on the blue line for the peak to be deleted and 5724 then pressing the right mouse button. The blue line should vanish and the 5725 corresponding peak will be removed from the Peak List. <o:p></o:p></span></p> 5726 5727 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5728 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5729 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5730 style='mso-spacerun:yes'> </span>You can move a Peak List item using the mouse 5731 on the plot by: position the pointer on the blue line for the peak you wish to 5732 move and then hold the left mouse button down, dragging the line to the desired 5733 position. When the mouse button is released, the peak line will be drawn in the 5734 new position. <o:p></o:p></span></p> 5735 5736 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5737 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 5738 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 5739 style='mso-spacerun:yes'> </span>The fit limits can be changed without 5740 selecting the Limits item in the data tree from the plot. Change the upper and 5741 lower Tmin values by clicking on the appropriate vertical line and dragging it 5742 to the right or left. </BL><o:p></o:p></span></p> 5743 5744 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 5745 name="PWDR_Index_Peak_List"></a><u>Index Peak List</u></h4> 5746 5747 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5748 style='mso-fareast-font-family:"Times New Roman"'>This window shows the list of 5749 peaks that will be used for indexing (see </span><a href="#Unit_Cells_List"><span 5750 style='mso-fareast-font-family:"Times New Roman";color:windowtext;text-decoration: 5751 none;text-underline:none'>Unit Cells List</span></a><span style='mso-fareast-font-family: 5752 "Times New Roman"'>). It must be filled before indexing can proceed. When 5753 indexing is completed, this display will show the resulting hkl values for 5754 every indexed reflection along with the calculated d-spacing (‘d-calc’) for the 5755 selected unit cell in <a href="#Unit_Cells_List"><b>Unit Cells List</b></a>.</span> 5756 <span style='mso-fareast-font-family:"Times New Roman"'>.<span 5757 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5758 text-underline:none'><o:p></o:p></span></span></span></p> 5759 5760 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5761 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<span 5762 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 5763 none'><o:p></o:p></span></span></span></h5> 5764 5765 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 5766 text-indent:-.25in;mso-list:l29 level1 lfo25;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5767 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5768 color:windowtext;text-decoration:none;text-underline:none'><span 5769 style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'> 5770 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5771 "Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight:normal'>Operations</b>’ 5772 – <b style='mso-bidi-font-weight:normal'>Load/Reload</b> – loads the peak 5773 positions & intensities from the </span><a href="#Peak_List"><span 5774 style='mso-fareast-font-family:"Times New Roman";color:windowtext;text-decoration: 5775 none;text-underline:none'>Peak List</span></a><span style='mso-fareast-font-family: 5776 "Times New Roman"'> to make them available for the indexing routine. The d-obs 5777 is obtained from Bragg’s Law after applying the Zero correction shown on the </span><a 5778 href="#Instrument_Parameters"><span style='mso-fareast-font-family:"Times New Roman"; 5779 color:windowtext;text-decoration:none;text-underline:none'>Instrument 5780 Parameters</span></a><span style='mso-fareast-font-family:"Times New Roman"'> 5781 table to the position shown here.<span class=MsoHyperlink><span 5782 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 5783 5784 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; 5785 text-indent:-.25in;mso-list:l29 level1 lfo25;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5786 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5787 color:windowtext;text-decoration:none;text-underline:none'><span 5788 style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'> 5789 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5790 "Times New Roman"'>You may deselect individual peaks from indexing by 5791 unchecking the corresponding ‘use’ box.<span class=MsoHyperlink><span 5792 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 5793 5794 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 5795 name="PWDR_Unit_Cells_List"><u>Unit Cells List</u></a></h4> 5796 5797 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5798 style='mso-fareast-font-family:"Times New Roman"'>This tree item has several 5799 purposes, it can be used to perform autoindexing and it can be used to show the 5800 positions of peaks from unit cells which may be results from autoindexing or 5801 may be entered from a phase or manually. It can be used to refine unit cell 5802 parameters. It can also be used to search for cells/symmetry settings related 5803 to a specified unit cell & space group. <o:p></o:p></span></p> 5804 5805 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5806 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?</span><span 5807 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 5808 none'><o:p></o:p></span></span></h5> 5809 5810 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>For 5811 autoindexing</b>, the peaks in the <a href="#Index_Peak_List">Index Peak List</a> 5812 are used. Select one or more Bravais lattice types to use and use the 5813 "Cell Index/Refine"/"Index Cell" menu command to start 5814 indexing. Output will appear on the console and a progress bar dialog will 5815 appear which tracks trial volume. A <b style='mso-bidi-font-weight:normal'>Cancel</b> 5816 button will terminate indexing; it may need to be pressed more than once to 5817 fully terminate the indexing process. Console output shows possible solutions 5818 with a computed <b>M20</b> for each; good solutions are indicated by high <b>M20</b> 5819 values. <b style='mso-bidi-font-weight:normal'>X20</b> gives number of 5820 unindexed lines out of the 1<sup>st</sup> 20 lines and <b>Nc</b> gives total 5821 number of reflections generated for each solution. </p> 5822 5823 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 5824 "Copy Cell" menu commnd copies a selected solution to the Unit cell 5825 values; the Bravais lattice shown for the choice is copied. Press <b 5826 style='mso-bidi-font-weight:normal'>Show hkl positions</b> to generate the 5827 allowed reflection positions, which are visually superimposed on the displayed 5828 powder pattern to visually confirm the indexing. Pay particular attention to 5829 any unmatched peaks in the pattern. A <b style='mso-bidi-font-weight:normal'>Space 5830 group</b> can be from the pulldown box to remove reflections based on space 5831 group extinctions and visually eliminate possiblities. </p> 5832 5833 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5834 margin-left:1.2in;text-indent:-.25in;mso-list:l28 level1 lfo26;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5835 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 5836 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5837 style='mso-fareast-font-family:"Times New Roman"'>Max Nc/Nobs: – this controls 5838 the extent of the search for the correct indexing. This may need to be 5839 increased if an indexing trial terminates too quickly. It rarely needs to be 5840 changed. <o:p></o:p></span></p> 5841 5842 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5843 margin-left:1.2in;text-indent:-.25in;mso-list:l28 level1 lfo26;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5844 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 5845 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5846 style='mso-fareast-font-family:"Times New Roman"'>Start Volume: – this sets an 5847 initial unit cell volume for the indexing. It rarely needs to be changed. <o:p></o:p></span></p> 5848 5849 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5850 margin-left:1.2in;text-indent:-.25in;mso-list:l28 level1 lfo26;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5851 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 5852 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5853 style='mso-fareast-font-family:"Times New Roman"'>Select "keep" in 5854 the table for a cell that should be preserved when an additional indexing run 5855 is tried; all without that are erased before the indexing trial begins. <o:p></o:p></span></p> 5856 5857 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>To 5858 display a unit cell</b>, optionally with space group extinctions, set a Bravais 5859 class to determine a unit cell type (see <a href="#Laue_List">list below</a>), 5860 optionally select a space group (by default the lowest symmetry space group for 5861 the class is selected) and enter the unit cell contents. Or use the "Cell 5862 Index/Refine"/"Load Phase" menu command to read this information 5863 from a phase that has been read into a project or from a file (such as a CIF) 5864 using the "Cell Index/Refine"/"Import Cell" menu command. </p> 5865 5866 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>For 5867 symmetry exploration</b>, once a phase/cell has been loaded, use the "Run 5868 SUBGROUPS", "Cell Symmetry Search" or "Run 5869 k-SUBGROUPSMAG" commands from the "Cell Index/Refine" menu. 5870 These commands look for: subgroups, higher symmetry cells or magnetic 5871 subgroups, respectively. Also note the "Transform Cell" commnd in 5872 that menu that can perform namy common lattice transformations, apply a 5873 user-supplied cell transformation or create a magnetic phase. </p> 5874 5875 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>To 5876 optimize a cell</b>, to fit the peaks in the <a href="#Index_Peak_List">Index 5877 Peak List</a>, use the "Cell Index/Refine"/"Refine Cell" 5878 menu command. The results will be placed in the <b>Indexing Result</b> table 5879 with ‘<b>use’</b> selected. </p> 5880 5881 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Other</b>: 5882 The "Make new phase" command creates a new phase from the selected unit 5883 cell and chosen space group. A dialog box will appear asking for a name for 5884 this phase. See the new entry under Phases and the new lattice parameters will 5885 be in the <a href="#General">General </a>window for that phase. </p> 5886 5887 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 5888 name="Laue_List"><b>GSAS-II Laue classes</b> (note that some redundant entries 5889 are included for convenience.)</a></p> 5890 5891 <span style='mso-bookmark:Laue_List'></span> 5892 5893 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5894 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5895 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5896 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5897 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5898 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Cubic: 5899 Fm3m, Im3m & Pm3m <o:p></o:p></span></p> 5900 5901 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5902 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5903 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5904 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5905 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5906 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Rhombohedral: 5907 R3-H (hexagonal axes) <o:p></o:p></span></p> 5908 5909 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5910 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5911 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5912 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5913 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5914 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Hexagonal: 5915 P6/mmm <o:p></o:p></span></p> 5916 5917 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5918 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5919 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5920 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5921 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5922 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Tetragonal: 5923 I4/mmm, P4/mmm <o:p></o:p></span></p> 5924 5925 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5926 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5927 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5928 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5929 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5930 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Orthorhombic: 5931 Fmmm, Immm, Ammm, Bmmm, Cmmm, Pmmm <o:p></o:p></span></p> 5932 5933 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5934 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5935 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5936 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5937 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5938 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Monoclinic: 5939 I2/m, C2/m, P2/m (b-unique) <o:p></o:p></span></p> 5940 5941 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 5942 margin-left:1.0in;text-indent:-.25in;mso-list:l0 level1 lfo27;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5943 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 5944 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 5945 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 5946 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>Triclinic: 5947 P1, C1 <o:p></o:p></span></p> 5948 5949 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 5950 name="PWDR_Reflection_Lists"></a><u>Reflection Lists</u></h4> 5951 5952 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5953 style='mso-fareast-font-family:"Times New Roman"'>This window shows the 5954 reflections for the selected phase (selected by the tab at top) found in this 5955 powder data set. It is generated by a Rietveld (including Pawley and LeBail) 5956 refinements. Reflection d-spaces are generated directly from lattice parameters 5957 but 2θ values will incorporate corrections, such as for sample displacement, 5958 zero, etc. </span></p> 5959 5960 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5961 style='mso-fareast-font-family:"Times New Roman"'>The indicies (hkl values) for 5962 reflections can be displayed by letting the mouse rest at the position of a 5963 reflection in 2-theta, Q, etc. (the vertical position does not matter). After a 5964 short delay, a "tool tip" will be displayed for any reflections close 5965 to the lateral mouse position. </span></p> 5966 5967 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 5968 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<span 5969 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 5970 none'><o:p></o:p></span></span></span></h5> 5971 5972 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 5973 text-indent:-.25in;mso-list:l18 level1 lfo29;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5974 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5975 color:windowtext;text-decoration:none;text-underline:none'><span 5976 style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'> 5977 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5978 "Times New Roman"'>Menu<b style='mso-bidi-font-weight:normal'> ‘Reflection 5979 List’ </b>– <span class=MsoHyperlink><span style='color:windowtext;text-decoration: 5980 none;text-underline:none'><o:p></o:p></span></span></span></p> 5981 5982 <p class=MsoListParagraphCxSpLast style='margin-left:1.25in;mso-add-space:auto; 5983 text-indent:-.25in;mso-list:l18 level2 lfo29;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 5984 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 5985 color:windowtext;text-decoration:none;text-underline:none'><span 5986 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 5987 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 5988 "Times New Roman"'>Select phase – if there is more than one phase; you can 5989 select another phase; the window title will show which phase is shown. <span 5990 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 5991 text-underline:none'><o:p></o:p></span></span></span></p> 4500 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 4501 "Times New Roman"'>[<a href="gsasII-pwdr.html">see separate page</a>]<o:p></o:p></span></p> 5992 4502 5993 4503 <h2 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a … … 6009 4519 available a green ring is shown for F-observed, a blue ring for F-calculated 6010 4520 and a central disk for <span style='font-family:"Calibri",sans-serif'>Δ</span>F 6011 (green for Fo>Fc and red for Fo<Fc).</p>4521 (green for <span class=SpellE>Fo</span>>Fc and red for <span class=SpellE>Fo</span><Fc).</p> 6012 4522 6013 4523 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span … … 6015 4525 6016 4526 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 6017 text-indent:-.25in;mso-list:l1 level1 lfo 31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4527 text-indent:-.25in;mso-list:l1 level1 lfo19;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6018 4528 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 6019 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 6020 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Change 6021 the scale</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 6022 move the slider, the rings will change their radius accordingly.<o:p></o:p></span></p> 4529 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4530 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4531 "Times New Roman"'>Change the scale</span></b><span style='mso-fareast-font-family: 4532 "Times New Roman"'> – move the slider, the rings will change their radius 4533 accordingly.<o:p></o:p></span></p> 6023 4534 6024 4535 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 6025 auto;text-indent:-.25in;mso-list:l1 level1 lfo 31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4536 auto;text-indent:-.25in;mso-list:l1 level1 lfo19;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6026 4537 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 6027 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 6028 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Select 6029 the zone</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 6030 select between 100, 010 or 001; plot axes will be labeled accordingly.<o:p></o:p></span></p> 4538 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4539 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4540 "Times New Roman"'>Select the zone</span></b><span style='mso-fareast-font-family: 4541 "Times New Roman"'> – select between 100, 010 or 001; plot axes will be labeled 4542 accordingly.<o:p></o:p></span></p> 6031 4543 6032 4544 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 6033 auto;text-indent:-.25in;mso-list:l1 level1 lfo 31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4545 auto;text-indent:-.25in;mso-list:l1 level1 lfo19;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6034 4546 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 6035 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b6036 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Select 6037 plot type</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 6038 the choices are either F or F<sup>2</sup>, </span><span style='font-family: 6039 "Calibri",sans-serif;mso-fareast-font-family:"Times New Roman"'>Δ</span><span4547 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4548 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4549 "Times New Roman"'>Select plot type</span></b><span style='mso-fareast-font-family: 4550 "Times New Roman"'> – the choices are either F or F<sup>2</sup>, </span><span 4551 style='font-family:"Calibri",sans-serif;mso-fareast-font-family:"Times New Roman"'>Δ</span><span 6040 4552 style='mso-fareast-font-family:"Times New Roman"'>F<sup>2</sup>/</span><span 6041 4553 style='font-family:"Calibri",sans-serif;mso-fareast-font-family:"Times New Roman"'>σ(F<sup>2</sup>)</span><span … … 6051 4563 6052 4564 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; 6053 text-indent:-.25in;mso-list:l1 level1 lfo 31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4565 text-indent:-.25in;mso-list:l1 level1 lfo19;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6054 4566 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 6055 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b6056 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Select 6057 layer </span></b><span style='mso-fareast-font-family:"Times New Roman"'>– move 6058 the slider for upper layers for the selected zone.<o:p></o:p></span></p>4567 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4568 dir=LTR></span><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 4569 "Times New Roman"'>Select layer </span></b><span style='mso-fareast-font-family: 4570 "Times New Roman"'>– move the slider for upper layers for the selected zone.<o:p></o:p></span></p> 6059 4571 6060 4572 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a … … 6073 4585 6074 4586 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>A 6075 PDF entry is created from a <a href=" #PWDR">powder histogram (PWDR entry)</a>4587 PDF entry is created from a <a href="gsasII-pwdr.html#PWDR">powder histogram (PWDR entry)</a> 6076 4588 using the <b>Setup PDFs</b> entry in the <a href="#Calculate_menu">Calculate 6077 4589 menu</a>. The main PDF data tree item displays the same window as the PDF … … 6091 4603 6092 4604 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 6093 Optimize PDF button can be used to refine the values of the "Flat 6094 Bkg", "Background ratio" and "Ruland width" parameters 6095 to best agree with the -4*pi*r line that is plotted for r < Rmin. Rmin 6096 should be set to a distance below the shortest expected interatomic distance 6097 for the material. </p> 4605 Optimize PDF button can be used to refine the values of the "Flat <span 4606 class=SpellE>Bkg</span>", "Background ratio" and "Ruland 4607 width" parameters to best agree with the -4*pi*r line that is plotted for 4608 r < <span class=SpellE>Rmin</span>. <span class=SpellE>Rmin</span> should be 4609 set to a distance below the shortest expected interatomic distance for the 4610 material. </p> 6098 4611 6099 4612 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What … … 6101 4614 6102 4615 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 6103 PDF parameters can be changed, triggering recomputation of the <a 6104 href="#PDF_I_Q">I(Q)</a>, <a href="#PDF_S_Q">S(Q)</a>, <a href="#PDF_F_Q">F(Q)</a> 6105 and <a href="#PDF_G_R">G(R) functions</a>. Available menu commands are: </p> 4616 PDF parameters can be changed, triggering <span class=SpellE>recomputation</span> 4617 of the <a href="#PDF_I_Q">I(Q)</a>, <a href="#PDF_S_Q">S(Q)</a>, <a 4618 href="#PDF_F_Q">F(Q)</a> and <a href="#PDF_G_R">G(R) functions</a>. Available 4619 menu commands are: </p> 6106 4620 6107 4621 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span … … 6117 4631 6118 4632 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6119 style='mso-fareast-font-family:"Times New Roman"'>Removes a previously-entered4633 style='mso-fareast-font-family:"Times New Roman"'>Removes a <span class=GramE>previously-entered</span> 6120 4634 element from the chemical formula. <o:p></o:p></span></p> 6121 4635 … … 6147 4661 style='mso-fareast-font-family:"Times New Roman"'>Recomputes the PDF for the 6148 4662 current entry. This is usually done automatically when values are changed, but 6149 if notthis can be forced with this menu item. <o:p></o:p></span></p>4663 if <span class=GramE>not</span> this can be forced with this menu item. <o:p></o:p></span></p> 6150 4664 6151 4665 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span … … 6154 4668 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6155 4669 style='mso-fareast-font-family:"Times New Roman"'>Recomputes the PDFs for all 6156 selected PDF entries. This is usually done after Copy Controls is used. By 6157 default PDFs are optimized to reduce the low G(r) region, but this can be 6158 turned off. <o:p></o:p></span></p>4670 selected PDF entries. This is usually done after Copy Controls is used. By <span 4671 class=GramE>default</span> PDFs are optimized to reduce the low G(r) region, 4672 but this can be turned off. <o:p></o:p></span></p> 6159 4673 6160 4674 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span … … 6312 4826 window shows whatever comment lines found in a “metadata” file when the image 6313 4827 data file was read by GSAS-II. If you are lucky, there will be useful 6314 information here (e.g. sample name, date collected, wavelength used, etc.). If 6315 not, this window will be blank. The text is read-only.</p> 4828 information here (<span class=GramE>e.g.</span> sample name, date collected, 4829 wavelength used, etc.). If not, this window will be blank. The text is 4830 read-only.</p> 6316 4831 6317 4832 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>Image … … 6324 4839 6325 4840 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>Menu 6326 command for this window are used to perform calibration (fitting the 6327 calibration values from a diffraction pattern image taken with a calibrant) and 6328 for integration. Other menu commands allow the values on the window to be saved 6329 to a file, read from a file or copied to other images. The "Xfer 6330 Angles" menu command scales the current integration range for other images 6331 located at different detector distances. <span class=MsoHyperlink><span 6332 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></p> 4841 command for this window <span class=GramE>are</span> used to perform 4842 calibration (fitting the calibration values from a diffraction pattern image 4843 taken with a calibrant) and for integration. Other menu commands allow the 4844 values on the window to be saved to a file, read from a file or copied to other 4845 images. The "Xfer Angles" menu command scales the current integration 4846 range for other images located at different detector distances. <span 4847 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 4848 text-underline:none'><o:p></o:p></span></span></p> 6333 4849 6334 4850 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a … … 6338 4854 style='mso-fareast-font-family:"Times New Roman"'>Image masks are used 6339 4855 designate areas of an image that should not be included in the integration, 6340 typically used due to detector irregularities, shadows of the beamstop, 6341 single-crystal peaks from a mounting, etc. Masks can be created with a menu 6342 command or with keyboard/mouse shortcuts. There are five types of masks:<o:p></o:p></span></p> 4856 typically used due to detector irregularities, shadows of the <span 4857 class=SpellE>beamstop</span>, single-crystal peaks from a mounting, etc. Masks 4858 can be created with a menu command or with keyboard/mouse shortcuts. There are 4859 five types of masks:<o:p></o:p></span></p> 6343 4860 6344 4861 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6345 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo 32;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4862 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo20;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6346 4863 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 6347 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6348 style='mso-fareast-font-family:"Times New Roman"'>Spot masks: occlude a circle 6349 with a selected center and diameter in image coordinates (mm). <o:p></o:p></span></p> 4864 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4865 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Spot 4866 masks: occlude a circle with a selected center and diameter in image 4867 coordinates (mm). <o:p></o:p></span></p> 6350 4868 6351 4869 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6352 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo 32;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4870 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo20;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6353 4871 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 6354 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6355 style='mso-fareast-font-family:"Times New Roman"'>Ring masks: occludes a 6356 specific Bragg reflection (a ring placed relative to the image center). The 6357 location and thickness of the ring are specified in degrees 2-theta. <o:p></o:p></span></p> 4872 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4873 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Ring 4874 masks: occludes a specific Bragg reflection (a ring placed relative to the 4875 image center). The location and thickness of the ring are specified in degrees 4876 2-theta. <o:p></o:p></span></p> 6358 4877 6359 4878 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6360 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo 32;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4879 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo20;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6361 4880 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 6362 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span6363 style='mso-fareast-font-family:"Times New Roman"'>Arc masks: occlude a section 6364 of a Bragg reflection, similar to a ring mask, except that in addition to the 6365 location and thickness of the ring, the mask has a starting and ending 6366 azimuthal angle. <o:p></o:p></span></p>4881 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4882 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Arc 4883 masks: occlude a section of a Bragg reflection, <span class=GramE>similar to</span> 4884 a ring mask, except that in addition to the location and thickness of the ring, 4885 the mask has a starting and ending azimuthal angle. <o:p></o:p></span></p> 6367 4886 6368 4887 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6369 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo 32;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4888 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo20;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6370 4889 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 6371 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span6372 style='mso-fareast-font-family:"Times New Roman"'>Polygon masks: occlude an6373 arbitary region created by line segments joining a series of points specified 6374 in image coordinates (mm). Pixels inside the polygon mask are not used for 6375 in tegration. <o:p></o:p></span></p>4890 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4891 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Polygon 4892 masks: occlude an <span class=SpellE>arbitary</span> region created by line 4893 segments joining a series of points specified in image coordinates (mm). Pixels 4894 inside the polygon mask are not used for integration. <o:p></o:p></span></p> 6376 4895 6377 4896 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6378 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo 32;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4897 margin-left:1.0in;text-indent:-.25in;mso-list:l27 level1 lfo20;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6379 4898 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 6380 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6381 style='mso-fareast-font-family:"Times New Roman"'>The Frame mask: occludes an 6382 arbitary region created by line segments joining a series of points specified 6383 in image coordinates (mm). Typically a point is placed near each corner of the 6384 image. Only pixels inside the frame mask are used for integration. Only one 6385 frame mask can be defined. <o:p></o:p></span></p> 4899 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4900 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>The 4901 Frame mask: occludes an <span class=SpellE>arbitary</span> region created by 4902 line segments joining a series of points specified in image coordinates (mm). <span 4903 class=GramE>Typically</span> a point is placed near each corner of the image. 4904 Only pixels inside the frame mask are used for integration. Only one frame mask 4905 can be defined. <o:p></o:p></span></p> 6386 4906 6387 4907 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What … … 6397 4917 6398 4918 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 6399 image is shown, as described above. Note that The frame mask, if defined, is 6400 displayed in green, while the other types of masks are shown in red.</p> 4919 image is shown, as described above. Note that <span class=GramE>The</span> 4920 frame mask, if defined, is displayed in green, while the other types of masks 4921 are shown in red.</p> 6401 4922 6402 4923 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What … … 6404 4925 6405 4926 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>There 6406 are menu commands to create masks as well as keyboard shortcuts. If a menu 6407 commandis used, then use left and right mouse clicks as described below. </p>4927 are menu commands to create masks as well as keyboard shortcuts. If a menu command 4928 is used, then use left and right mouse clicks as described below. </p> 6408 4929 6409 4930 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6410 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4931 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6411 4932 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 6412 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6413 style='mso-fareast-font-family:"Times New Roman"'>Spot masks: <o:p></o:p></span></p> 4933 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4934 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Spot 4935 masks: <o:p></o:p></span></p> 6414 4936 6415 4937 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Create … … 6419 4941 6420 4942 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6421 margin-left:2.2in;text-indent:-.25in;mso-list:l22 level2 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4943 margin-left:2.2in;text-indent:-.25in;mso-list:l22 level2 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6422 4944 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:"Courier New"; 6423 4945 mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span 6424 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6425 style='mso-fareast-font-family:"Times New Roman"'>Press the 's' key and then 6426 left-click successively on multiple locations for spot masks. Press the 's' key 6427 again or <a href="#Mac_rightclick">right-click*</a> to stop adding spot masks. <o:p></o:p></span></p> 4946 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4947 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Press 4948 the 's' key and then <span class=GramE>left-click</span> successively on 4949 multiple locations for spot masks. Press the 's' key again or <a 4950 href="#Mac_rightclick">right-click*</a> to stop adding spot masks. <o:p></o:p></span></p> 6428 4951 6429 4952 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6430 margin-left:2.2in;text-indent:-.25in;mso-list:l22 level2 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4953 margin-left:2.2in;text-indent:-.25in;mso-list:l22 level2 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6431 4954 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:"Courier New"; 6432 4955 mso-fareast-font-family:"Courier New"'><span style='mso-list:Ignore'>o<span 6433 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span6434 style='mso-fareast-font-family:"Times New Roman"'>Alternately, move the mouse 6435 to the position for a new spot mask and press the 't' key. (Note that this can 6436 be used while the plot is in Zoom or Pan mode.) <o:p></o:p></span></p>4956 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4957 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Alternately, 4958 move the mouse to the position for a new spot mask and press the 't' key. (Note 4959 that this can be used while the plot is in Zoom or Pan mode.) <o:p></o:p></span></p> 6437 4960 6438 4961 <p style='margin-left:1.95in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 6439 default size for newly-created spot masks is determined by the <tt><span6440 style='font-size:10.0pt'>Spot_mask_diameter</span></tt> <a href="#Preferences">configuration 6441 variable</a> or 1.0 mm, if not specified. </p>4962 default size for <span class=GramE>newly-created</span> spot masks is 4963 determined by the <span class=SpellE><tt><span style='font-size:10.0pt'>Spot_mask_diameter</span></tt></span> 4964 <a href="#Preferences">configuration variable</a> or 1.0 mm, if not specified. </p> 6442 4965 6443 4966 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6444 Spot mask location</b> by left-clicking inside or on the edge the of the mask6445 and then drag the spot mask to a new location. </p>4967 Spot mask location</b> by <span class=GramE>left-clicking</span> inside or on 4968 the edge the of the mask and then drag the spot mask to a new location. </p> 6446 4969 6447 4970 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit … … 6450 4973 6451 4974 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6452 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span4975 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6453 4976 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 6454 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6455 style='mso-fareast-font-family:"Times New Roman"'>Ring masks: <o:p></o:p></span></p> 4977 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 4978 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Ring 4979 masks: <o:p></o:p></span></p> 6456 4980 6457 4981 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Create … … 6461 4985 6462 4986 <p style='margin-left:1.95in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 6463 default thickness for newly-created ring masks is determined by the <tt><span 6464 style='font-size:10.0pt'>Ring_mask_thickness</span></tt> <a href="#Preferences">configuration 6465 variable</a> or 0.1 degrees (2theta) if not specified. </p> 4987 default thickness for <span class=GramE>newly-created</span> ring masks is 4988 determined by the <span class=SpellE><tt><span style='font-size:10.0pt'>Ring_mask_thickness</span></tt></span> 4989 <a href="#Preferences">configuration variable</a> or 0.1 degrees (2theta) if 4990 not specified. </p> 6466 4991 6467 4992 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6468 Ring mask location</b> by left-clicking on either the inner or outer circle and6469 drag the circle to the new radius. </p>4993 Ring mask location</b> by <span class=GramE>left-clicking</span> on either the 4994 inner or outer circle and drag the circle to the new radius. </p> 6470 4995 6471 4996 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6472 4997 Ring mask thickness</b> by <a href="#Mac_rightclick">right-clicking*</a> either 6473 on the inner or outer circle and drag the the circle change spacing between the6474 inner and outer circle. </p>4998 on the inner or outer circle and drag the <span class=SpellE>the</span> circle 4999 change spacing between the inner and outer circle. </p> 6475 5000 6476 5001 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6477 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span5002 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6478 5003 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 6479 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span6480 style='mso-fareast-font-family:"Times New Roman"'>Arc masks: occludes a section 6481 of a Bragg reflection, similar to a ring mask, except that in addition to the 6482 location and thickness of the ring, the mask has a starting and ending 6483 azimuthal angle. <o:p></o:p></span></p>5004 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5005 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Arc 5006 masks: occludes a section of a Bragg reflection, <span class=GramE>similar to</span> 5007 a ring mask, except that in addition to the location and thickness of the ring, 5008 the mask has a starting and ending azimuthal angle. <o:p></o:p></span></p> 6484 5009 6485 5010 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Create … … 6489 5014 6490 5015 <p style='margin-left:1.95in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 6491 default size for newly-created ring masks is determined by <a6492 href="#Preferences">configuration variables</a><br>6493 thickness: < tt><span style='font-size:10.0pt'>Ring_mask_thickness</span></tt>5016 default size for <span class=GramE>newly-created</span> ring masks is 5017 determined by <a href="#Preferences">configuration variables</a><br> 5018 thickness: <span class=SpellE><tt><span style='font-size:10.0pt'>Ring_mask_thickness</span></tt></span> 6494 5019 (0.1 degrees 2theta if not specified) and <br> 6495 azimuthal range: < tt><span style='font-size:10.0pt'>Arc_mask_azimuth</span></tt>5020 azimuthal range: <span class=SpellE><tt><span style='font-size:10.0pt'>Arc_mask_azimuth</span></tt></span> 6496 5021 (10.0 degrees if not specified.) </p> 6497 5022 6498 5023 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6499 Arc mask location</b> by left-clicking on either the inner or outer circle and 6500 drag the circle to the new radius. Alternately, left-click on the upper or 6501 lower arc limit (the straight lines) and drag them to rotate the center of the 6502 arc azimuthal range to a new position. </p> 5024 Arc mask location</b> by <span class=GramE>left-clicking</span> on either the 5025 inner or outer circle and drag the circle to the new radius. Alternately, <span 5026 class=GramE>left-click</span> on the upper or lower arc limit (the straight 5027 lines) and drag them to rotate the center of the arc azimuthal range to a new 5028 position. </p> 6503 5029 6504 5030 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6505 5031 Arc mask thickness or range</b> by <a href="#Mac_rightclick">right-clicking*</a> 6506 either on the inner or outer circle and drag the the circle change spacing6507 between the inner and outer circle. Alternately, <a href="#Mac_rightclick">right-click*</a> 6508 on the upper or lower arc limit (the straight lines) and drag them to change6509 the arc azimuthal range. </p>5032 either on the inner or outer circle and drag the <span class=SpellE>the</span> 5033 circle change spacing between the inner and outer circle. Alternately, <a 5034 href="#Mac_rightclick">right-click*</a> on the upper or lower arc limit (the 5035 straight lines) and drag them to change the arc azimuthal range. </p> 6510 5036 6511 5037 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6512 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span5038 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6513 5039 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 6514 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span6515 style='mso-fareast-font-family:"Times New Roman"'>Polygon masks: occludes an6516 arbitary region created by line segments joining a series of points specified 6517 in image coordinates (mm). Pixels inside the polygon mask are not used for 6518 in tegration. <o:p></o:p></span></p>5040 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5041 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>Polygon 5042 masks: occludes an <span class=SpellE>arbitary</span> region created by line 5043 segments joining a series of points specified in image coordinates (mm). Pixels 5044 inside the polygon mask are not used for integration. <o:p></o:p></span></p> 6519 5045 6520 5046 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Create 6521 Polygon masks</b> with a menu command and then by left-clicking successively on6522 the vertices of the polygon shape surrounding pixels to be excluded. After the6523 last point is defined, <a href="#Mac_rightclick">right-click*</a> anywhere to 6524 close the mask. Alternately, press the 'p' key and then left-click, as before,6525 to define the mask and <a href="#Mac_rightclick">right-click*</a> anywhere to 6526 close the mask. </p>5047 Polygon masks</b> with a menu command and then by <span class=GramE>left-clicking</span> 5048 successively on the vertices of the polygon shape surrounding pixels to be 5049 excluded. After the last point is defined, <a href="#Mac_rightclick">right-click*</a> 5050 anywhere to close the mask. Alternately, press the 'p' key and then left-click, 5051 as before, to define the mask and <a href="#Mac_rightclick">right-click*</a> 5052 anywhere to close the mask. </p> 6527 5053 6528 5054 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6529 Polygon mask</b> by left-clicking on any point at a vertex in the polygon mask 6530 and drag that point to a new position. If the vertex is dragged to the same 6531 position as any other vertex in the mask the dragged point is deleted. </p> 5055 Polygon mask</b> by <span class=GramE>left-clicking</span> on any point at a 5056 vertex in the polygon mask and drag that point to a new position. If the vertex 5057 is dragged to the same position as any other vertex in the mask the dragged 5058 point is deleted. </p> 6532 5059 6533 5060 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Add … … 6537 5064 6538 5065 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 6539 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo 33;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span5066 margin-left:1.5in;text-indent:-.25in;mso-list:l22 level1 lfo21;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6540 5067 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 6541 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6542 style='mso-fareast-font-family:"Times New Roman"'>The Frame mask: occludes an 6543 arbitary region created by line segments joining a series of points specified 6544 in image coordinates (mm). Typically a point is placed near each corner of the 6545 image. Only pixels inside the frame mask are used for integration. Only one 6546 frame mask can be defined. <o:p></o:p></span></p> 5068 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5069 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>The 5070 Frame mask: occludes an <span class=SpellE>arbitary</span> region created by 5071 line segments joining a series of points specified in image coordinates (mm). <span 5072 class=GramE>Typically</span> a point is placed near each corner of the image. 5073 Only pixels inside the frame mask are used for integration. Only one frame mask 5074 can be defined. <o:p></o:p></span></p> 6547 5075 6548 5076 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Create 6549 a Frame mask</b> with a menu command and then by left-clicking successively on6550 the vertices of a polygon. After the last point is defined, <a5077 a Frame mask</b> with a menu command and then by <span class=GramE>left-clicking</span> 5078 successively on the vertices of a polygon. After the last point is defined, <a 6551 5079 href="#Mac_rightclick">right-click*</a> anywhere to close the frame mask. 6552 5080 Alternately, press the 'f' key and then left-click, as before, to define the … … 6556 5084 6557 5085 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Edit 6558 the Frame mask</b> by left-clicking on any point at a vertex in the frame mask 6559 and drag that point to a new position. If the vertex is dragged to the same 6560 position as any other vertex in the mask the dragged point is deleted. </p> 5086 the Frame mask</b> by <span class=GramE>left-clicking</span> on any point at a 5087 vertex in the frame mask and drag that point to a new position. If the vertex 5088 is dragged to the same position as any other vertex in the mask the dragged 5089 point is deleted. </p> 6561 5090 6562 5091 <p style='margin-left:1.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b>Add … … 6601 5130 6602 5131 <div class=MsoNormal align=center style='text-align:center;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6603 style='mso-fareast-font-family:"Times New Roman" '>6604 6605 <hr size= 2width="100%" align=center>5132 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 5133 5134 <hr size=3 width="100%" align=center> 6606 5135 6607 5136 </span></div> 6608 5137 6609 5138 <div class=MsoNormal align=center style='text-align:center;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6610 style='mso-fareast-font-family:"Times New Roman" '>6611 6612 <hr size= 2width="100%" align=center>5139 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 5140 5141 <hr size=3 width="100%" align=center> 6613 5142 6614 5143 </span></div> … … 6619 5148 6620 5149 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6621 style='mso-fareast-font-family:"Times New Roman"'>When a phase is selected from 6622 the <a href="#Data_tree"><span style='color:windowtext;text-decoration:none; 6623 text-underline:none'>data tree</span></a>, parameters are shown for that 6624 selected phase in a tabbed window. Clicking on each tab raises the windows 6625 listed below. Each tab is identified by the underlined phrase in the following:</span><span 6626 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 6627 text-underline:none'><o:p></o:p></span></span></p> 6628 6629 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 6630 name=General>General Phase Parameters</a></h4> 6631 6632 <span style='mso-bookmark:General'></span> 6633 6634 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6635 style='mso-fareast-font-family:"Times New Roman"'>This gives overall parameters 6636 describing the phase such as the name, space group, the unit cell parameters 6637 and overall parameters for the atom present in the phase. It also has the 6638 controls for Pawley intensity extraction and for computing Fourier maps for 6639 this phase. It can also be used to compute new structures based on the unit 6640 cell and atom poistions. <span class=MsoHyperlink><span style='color:windowtext; 6641 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 6642 6643 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6644 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<span 6645 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 6646 none'><o:p></o:p></span></span></span></h5> 6647 6648 <p class=MsoListParagraph style='margin-left:1.0in;mso-add-space:auto; 6649 text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6650 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 6651 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 6652 style='mso-fareast-font-family:"Times New Roman"'>Menu ‘<b style='mso-bidi-font-weight: 6653 normal'>Compute’</b> – The compute menu shows computations that are possible 6654 for this phase. </span></p> 6655 6656 <p class=MsoNormal style='margin-left:1.5in;mso-add-space:auto;text-indent: 6657 -.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6658 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 6659 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b><span 6660 style='mso-fareast-font-family:"Times New Roman"'>Fourier maps</span></b><span 6661 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 6662 6663 <p class=MsoNormal style='margin-left:.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6664 style='mso-fareast-font-family:"Times New Roman"'>compute Fourier maps according 6665 to the controls set at bottom of General page.<o:p></o:p></span></p> 6666 6667 <p class=MsoNormal style='margin-left:1.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 6668 style='mso-fareast-font-family:"Times New Roman"'>Search maps</span></b><span 6669 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 6670 6671 <p class=MsoNormal style='margin-left:.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6672 style='mso-fareast-font-family:"Times New Roman"'>search the computed Fourier 6673 map. Peaks that are above ‘Peak cutoff’ % of the maximum will be found in this 6674 procedure; they will be printed on the console and will be shown in the ‘<a 6675 href="Map_peaks">Map peaks</a>’ page. This page will immediately be shown and 6676 the peaks will be shown on the structure drawing for this phase as white 3-D 6677 crosses.<o:p></o:p></span></p> 6678 6679 <p class=MsoNormal style='margin-left:1.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 6680 style='mso-fareast-font-family:"Times New Roman"'>Charge flipping </span></b><span 6681 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 6682 6683 <p class=MsoNormal style='margin-left:.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6684 style='mso-fareast-font-family:"Times New Roman"'>This performs a charge 6685 flipping <i style='mso-bidi-font-style:normal'>ab initio</i> structure solution 6686 using the method of Oszlanyi & Suto (Acta Cryst. A60, 134-141, 2004). You 6687 will need to select a source for the reflection set and perhaps select an 6688 element for normalization by its form factor, a resolution limit (usually 0.5A) 6689 and a charge flip threshold (usually 0.1); these are found at the bottom of the 6690 <b style='mso-bidi-font-weight:normal'>General</b> window. A progress bar 6691 showing the charge flip residual is shown while the charge flip is in 6692 operation. When the residual is no longer decreasing (be patient – it doesn’t 6693 necessarily fall continuously), press the <b style='mso-bidi-font-weight:normal'>Cancel</b> 6694 button to stop the charge flipping. The resulting map will be positioned to 6695 properly place symmetry operators (NB: depends on the quality of the resulting 6696 phases), searched for peaks and the display shifts to <b style='mso-bidi-font-weight: 6697 normal'>Map peaks</b> to show them.<o:p></o:p></span></p> 6698 6699 <p class=MsoNormal style='margin-left:1.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 6700 style='mso-fareast-font-family:"Times New Roman"'>Clear map </span></b><span 6701 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 6702 6703 <p class=MsoNormal style='margin-left:.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6704 style='mso-fareast-font-family:"Times New Roman"'>This clears any 6705 Fourier/charge flip map from memory; the Fourier map controls are also cleared.<o:p></o:p></span></p> 6706 6707 <p class=MsoNormal style='margin-left:1.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 6708 style='mso-fareast-font-family:"Times New Roman"'>Transform</span></b><span 6709 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 6710 6711 <p class=MsoNormal style='margin-left:.5in;mso-add-space:auto;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6712 style='mso-fareast-font-family:"Times New Roman"'>This allows for a change in 6713 axes, symmetry or unit cell. It is also used to create a magnetic phase from a 6714 chemical (nuclear) phase. One important transformation that can be done here is 6715 for Origin 1 settings to Origin 2 (<a href="#Origin1">described below</a>) <o:p></o:p></span></p> 6716 6717 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 6718 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 6719 text-underline:none'><o:p> </o:p></span></span></p> 6720 6721 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 6722 text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6723 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6724 color:windowtext;text-decoration:none;text-underline:none'><span 6725 style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'> 6726 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 6727 "Times New Roman"'>The items in the upper part of the General page that can be changed 6728 are Phase name, Phase type, Space group, unit cell parameters & refine 6729 flag. These are described in turn:<span class=MsoHyperlink><span 6730 style='color:windowtext'><o:p></o:p></span></span></span></p> 6731 6732 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6733 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6734 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6735 color:windowtext;text-decoration:none;text-underline:none'><span 6736 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 6737 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6738 style='mso-fareast-font-family:"Times New Roman"'>Phase name</span></b><span 6739 style='mso-fareast-font-family:"Times New Roman"'> – this is the name assigned to 6740 this phase. It should only be changed when the phase is initialized or 6741 imported.<span class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></span></p> 6742 6743 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6744 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6745 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6746 color:windowtext;text-decoration:none;text-underline:none'><span 6747 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 6748 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6749 style='mso-fareast-font-family:"Times New Roman"'>Phase type – </span></b><span 6750 style='mso-fareast-font-family:"Times New Roman"'>this can only be set when 6751 there are no atoms in the Atoms page for this phase. Select it when the phase 6752 is initialized.<span class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></span></p> 6753 6754 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6755 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6756 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6757 color:windowtext;text-decoration:none;text-underline:none'><span 6758 style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 6759 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6760 style='mso-fareast-font-family:"Times New Roman"'>Space group</span></b><span 6761 style='mso-fareast-font-family:"Times New Roman"'> – this should be set when the 6762 phase is initialized; it can be changed later. Be careful about the impact on 6763 Atom site symmetry and multiplicity if you do. GSAS-II will recognize any legal 6764 space group symbol using the short Hermann-Mauguin forms; put a space between 6765 the axial fields (e.g. ‘F d 3 m’ not ‘Fd3m’). For space groups with a choice of 6766 origin (e.g. F d 3 m), GSAS-II always uses the 2<sup>nd</sup> setting where the 6767 center of inversion is located at the origin. The choice of space group will 6768 set the available unit cell parameters.<span class=MsoHyperlink><span 6769 style='color:windowtext'><o:p></o:p></span></span></span></p> 6770 6771 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6772 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6773 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 6774 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 6775 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Refine 6776 unit cell</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 6777 set this flag to refine the unit cell parameters in a Rietveld or Pawley 6778 refinement. The actual parameters refined are the symmetry allowed terms (A<sub>0</sub>-A<sub>5</sub>) 6779 in the expression</span><i style='mso-bidi-font-style:normal'><span 6780 style='font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman"'><br> 6781 </span></i><!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:sSup><m:sSupPr><span 6782 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6783 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6784 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 6785 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6786 "Times New Roman"'><m:r>d</m:r></span></i></m:e><m:sup><i style='mso-bidi-font-style: 6787 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6788 "Times New Roman"'><m:r>*2</m:r></span></i></m:sup></m:sSup><i 6789 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6790 mso-fareast-font-family:"Times New Roman"'><m:r>=</m:r></span></i><m:sSub><m:sSubPr><span 6791 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6792 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6793 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 6794 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6795 "Times New Roman"'><m:r>A</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style: 6796 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6797 "Times New Roman"'><m:r>0</m:r></span></i></m:sub></m:sSub><m:sSup><m:sSupPr><span 6798 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6799 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6800 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 6801 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6802 "Times New Roman"'><m:r>h</m:r></span></i></m:e><m:sup><i style='mso-bidi-font-style: 6803 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6804 "Times New Roman"'><m:r>2</m:r></span></i></m:sup></m:sSup><i 6805 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6806 mso-fareast-font-family:"Times New Roman"'><m:r>+</m:r></span></i><m:sSub><m:sSubPr><span 6807 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6808 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6809 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 6810 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6811 "Times New Roman"'><m:r>A</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style: 6812 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6813 "Times New Roman"'><m:r>1</m:r></span></i></m:sub></m:sSub><m:sSup><m:sSupPr><span 6814 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6815 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6816 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 6817 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6818 "Times New Roman"'><m:r>k</m:r></span></i></m:e><m:sup><i style='mso-bidi-font-style: 6819 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6820 "Times New Roman"'><m:r>2</m:r></span></i></m:sup></m:sSup><i 6821 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6822 mso-fareast-font-family:"Times New Roman"'><m:r>+</m:r></span></i><m:sSub><m:sSubPr><span 6823 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6824 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6825 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 6826 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6827 "Times New Roman"'><m:r>A</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style: 6828 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6829 "Times New Roman"'><m:r>2</m:r></span></i></m:sub></m:sSub><m:sSup><m:sSupPr><span 6830 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6831 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6832 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 6833 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6834 "Times New Roman"'><m:r>l</m:r></span></i></m:e><m:sup><i style='mso-bidi-font-style: 6835 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6836 "Times New Roman"'><m:r>2</m:r></span></i></m:sup></m:sSup><i 6837 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6838 mso-fareast-font-family:"Times New Roman"'><m:r>+</m:r></span></i><m:sSub><m:sSubPr><span 6839 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6840 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6841 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 6842 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6843 "Times New Roman"'><m:r>A</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style: 6844 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6845 "Times New Roman"'><m:r>3</m:r></span></i></m:sub></m:sSub><i 6846 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6847 mso-fareast-font-family:"Times New Roman"'><m:r>h</m:r><m:r>k</m:r><m:r>+</m:r></span></i><m:sSub><m:sSubPr><span 6848 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6849 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6850 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 6851 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6852 "Times New Roman"'><m:r>A</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style: 6853 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6854 "Times New Roman"'><m:r>4</m:r></span></i></m:sub></m:sSub><i 6855 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6856 mso-fareast-font-family:"Times New Roman"'><m:r>h</m:r><m:r>l</m:r><m:r>+</m:r></span></i><m:sSub><m:sSubPr><span 6857 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 6858 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 6859 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 6860 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6861 "Times New Roman"'><m:r>A</m:r></span></i></m:e><m:sub><i style='mso-bidi-font-style: 6862 normal'><span style='font-family:"Cambria Math",serif;mso-fareast-font-family: 6863 "Times New Roman"'><m:r>5</m:r></span></i></m:sub></m:sSub><i 6864 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif; 6865 mso-fareast-font-family:"Times New Roman"'><m:r>kl</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 6866 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 6867 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 6868 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 6869 id="_x0000_i1025" type="#_x0000_t75" style='width:251.25pt;height:14.25pt'> 6870 <v:imagedata src="gsasII_files/image003.png" o:title="" chromakey="white"/> 6871 </v:shape><![endif]--><![if !vml]><img width=335 height=19 6872 src="gsasII_files/image048.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 6873 6874 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6875 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6876 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6877 color:windowtext;text-decoration:none;text-underline:none'><span 6878 style='mso-list:Ignore'>e.<span style='font:7.0pt "Times New Roman"'> 6879 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6880 style='mso-fareast-font-family:"Times New Roman"'>a, b, c, alpha, beta, gamma</span></b><span 6881 style='mso-fareast-font-family:"Times New Roman"'> – lattice parameters; only 6882 those permitted by the space group are shown. The volume<span 6883 style='mso-spacerun:yes'> </span>is computed from the values entered.</span><span 6884 class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></p> 6885 6886 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 6887 auto;text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6888 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6889 color:windowtext;text-decoration:none;text-underline:none'><span 6890 style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'> 6891 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 6892 "Times New Roman"'>If there are entries in the Atoms page then the Elements 6893 table is shown next on the General page; you may select the isotope (only relevant 6894 for neutron diffraction experiments). The density (just above the Elements) is 6895 computed depending on this choice, the unit cell volume and the atom 6896 fractions/site multiplicities in the entries on the Atoms page.<span 6897 class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></span></p> 6898 6899 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 6900 auto;text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6901 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6902 color:windowtext;text-decoration:none;text-underline:none'><span 6903 style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'> 6904 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 6905 "Times New Roman"'>Next are the Pawley controls.<span class=MsoHyperlink><span 6906 style='color:windowtext'><o:p></o:p></span></span></span></p> 6907 6908 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6909 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6910 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6911 color:windowtext;text-decoration:none;text-underline:none'><span 6912 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 6913 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6914 style='mso-fareast-font-family:"Times New Roman"'>Do Pawley refinement?</span></b><span 6915 style='mso-fareast-font-family:"Times New Roman"'> – This must be chosen to 6916 perform a Pawley refinement as opposed to a Rietveld refinement for this phase. 6917 <b style='mso-bidi-font-weight:normal'>NB:</b> you probably should clear the <b 6918 style='mso-bidi-font-weight:normal'>Histogram scale factor</b> refinement flag 6919 (found in <b style='mso-bidi-font-weight:normal'>Sample parameters</b> for the 6920 powder data set) as it cannot be refined simultaneously with the Pawley 6921 reflection intensities.<span class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></span></p> 6922 6923 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6924 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6925 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6926 color:windowtext;text-decoration:none;text-underline:none'><span 6927 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 6928 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6929 style='mso-fareast-font-family:"Times New Roman"'>Pawley dmin</span></b><span 6930 style='mso-fareast-font-family:"Times New Roman"'> – This is the minimum 6931 d-spacing to be used in a Pawley refinement. <b style='mso-bidi-font-weight: 6932 normal'>NB:</b> be sure to set this to match the minimum d-spacing indicated by 6933 the powder pattern limits (see <b style='mso-bidi-font-weight:normal'>Limits</b> 6934 for the powder data set).<span class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></span></p> 6935 6936 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6937 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6938 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6939 color:windowtext;text-decoration:none;text-underline:none'><span 6940 style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 6941 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6942 style='mso-fareast-font-family:"Times New Roman"'>Pawley neg. wt.</span></b><span 6943 style='mso-fareast-font-family:"Times New Roman"'> – This is the weight for a 6944 penalty function applied during a Pawley refinement on resulting negative 6945 intensities. Use with caution; initially try very small values (e.g. .01). A 6946 value of zero means no penalty is applied.<span class=MsoHyperlink><span 6947 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 6948 6949 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 6950 auto;text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6951 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6952 color:windowtext;text-decoration:none;text-underline:none'><span 6953 style='mso-list:Ignore'>5.<span style='font:7.0pt "Times New Roman"'> 6954 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 6955 "Times New Roman"'>Fourier map controls are shown next on the General page. A 6956 completed Rietveld or Pawley refinement is required before a Fourier map can be 6957 computed. Select the desired type of map, the source of the reflection set and 6958 the map resolution desired. The peak cutoff is defined as a percentage of the 6959 maximum and defines the lowest level considered in the peak search.<span 6960 class=MsoHyperlink><span style='color:windowtext'><o:p></o:p></span></span></span></p> 6961 6962 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 6963 auto;text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6964 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6965 color:windowtext;text-decoration:none;text-underline:none'><span 6966 style='mso-list:Ignore'>6.<span style='font:7.0pt "Times New Roman"'> 6967 </span></span></span></span><![endif]><span style='mso-fareast-font-family: 6968 "Times New Roman"'>Charge flip controls are below the Fourier map controls.<span 6969 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 6970 text-underline:none'><o:p></o:p></span></span></span></p> 6971 6972 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6973 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6974 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6975 color:windowtext;text-decoration:none;text-underline:none'><span 6976 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 6977 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6978 style='mso-fareast-font-family:"Times New Roman"'>Reflection set from</span></b><span 6979 style='mso-fareast-font-family:"Times New Roman"'> – This is the source of 6980 structure factors to be used in a charge flip calculation. These may be either 6981 a single crystal data set, or structure factors extracted from a powder pattern 6982 via a Pawley refinement or a Rietveld refinement.<span class=MsoHyperlink><span 6983 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 6984 6985 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 6986 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 6987 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 6988 color:windowtext;text-decoration:none;text-underline:none'><span 6989 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 6990 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 6991 style='mso-fareast-font-family:"Times New Roman"'>Normalizing element </span></b><span 6992 style='mso-fareast-font-family:"Times New Roman"'>– This is an element form 6993 factor chosen to normalize the structure factors before charge flipping. <b 6994 style='mso-bidi-font-weight:normal'>None</b> (the default) can be selected from 6995 the lower right of the Periodic Table display shown when this is selected.<span 6996 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 6997 text-underline:none'><o:p></o:p></span></span></span></p> 6998 6999 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7000 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7001 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7002 color:windowtext;text-decoration:none;text-underline:none'><span 7003 style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 7004 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7005 style='mso-fareast-font-family:"Times New Roman"'>Resolution </span></b><span 7006 style='mso-fareast-font-family:"Times New Roman"'>– This is the resolution of 7007 the charge flip map; default is 0.5A. The set of reflections is expanded to a 7008 full sphere and zero filled to this resolution limit; this suite of reflections 7009 is then used for charge flipping.<span class=MsoHyperlink><span 7010 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7011 7012 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7013 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7014 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 7015 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7016 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>k-Factor</span></b><span 7017 style='mso-fareast-font-family:"Times New Roman"'> – This is the threshold on 7018 the density map, all densities below this are charge flipped.</span></p> 7019 7020 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7021 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7022 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 7023 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7024 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>k-Max</span></b><span 7025 style='mso-fareast-font-family:"Times New Roman"'> – This is an upper threshold 7026 on the density may; all densities above this are charge flipped. In this way 7027 the “uranium solution” problem is avoided. Use k-Max = 10-12 for equal atom 7028 problems and larger for heavy atom ones.<o:p></o:p></span></p> 7029 7030 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7031 auto;text-indent:-.25in;mso-list:l2 level1 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7032 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>7.<span 7033 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 7034 style='mso-fareast-font-family:"Times New Roman"'>Monte Carlo/Simulated 7035 Annealing controls are at the bottom of the window. (Future capability & 7036 under development).<o:p></o:p></span></p> 7037 7038 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7039 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7040 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 7041 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7042 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Reflection 7043 set from</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 7044 This is the source of structure factors to be used in a charge flip 7045 calculation. These may be either a single crystal data set, or structure 7046 factors extracted from a powder pattern via a Pawley refinement or a Rietveld 7047 refinement.<o:p></o:p></span></p> 7048 7049 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7050 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7051 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7052 color:windowtext;text-decoration:none;text-underline:none'><span 7053 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 7054 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7055 style='mso-fareast-font-family:"Times New Roman"'>d-min </span></b><span 7056 style='mso-fareast-font-family:"Times New Roman"'>- This restricts the set of 7057 reflections to be used in the MC/SA run.</span><span class=MsoHyperlink><span 7058 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></p> 7059 7060 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7061 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7062 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 7063 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 7064 class=MsoHyperlink><b style='mso-bidi-font-weight:normal'><span 7065 style='mso-fareast-font-family:"Times New Roman";color:windowtext;text-decoration: 7066 none;text-underline:none'>MC/SA algorithm</span></b></span><span 7067 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7068 color:windowtext;text-decoration:none;text-underline:none'> – This selects the 7069 type of jump to be used for each MC/SA trial.</span></span></p> 7070 7071 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7072 auto;text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7073 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7074 color:windowtext;text-decoration:none;text-underline:none'><span 7075 style='mso-list:Ignore'>d.<span style='font:7.0pt "Times New Roman"'> 7076 </span></span></span></span><![endif]><span class=MsoHyperlink><b 7077 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"; 7078 color:windowtext;text-decoration:none;text-underline:none'>Annealing schedule</span></b></span><span 7079 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7080 color:windowtext;text-decoration:none;text-underline:none'> – This selects the 7081 beginning MC/SA “temperature”, final “temperature”, slope and number of trials 7082 at each step.<o:p></o:p></span></span></p> 7083 7084 <p class=MsoListParagraphCxSpLast style='margin-left:1.5in;mso-add-space:auto; 7085 text-indent:-.25in;mso-list:l2 level2 lfo35;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7086 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7087 color:windowtext;text-decoration:none;text-underline:none'><span 7088 style='mso-list:Ignore'>e.<span style='font:7.0pt "Times New Roman"'> 7089 </span></span></span></span><![endif]><span class=MsoHyperlink><b 7090 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"; 7091 color:windowtext;text-decoration:none;text-underline:none'>A-jump & B-jump</span></b></span><span 7092 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7093 color:windowtext;text-decoration:none;text-underline:none'> – If the “Tremayne” 7094 algorithm is chosen these determine the jump components for each trial.<o:p></o:p></span></span></p> 7095 7096 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 7097 name=Origin1></a>Origin 1 -> Origin 2 Transformations</h5> 7098 7099 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7100 style='mso-fareast-font-family:"Times New Roman"'>An important transformation 7101 may be needed in certain cases when space groups that two alternate origin 7102 settings (<a 7103 href="https://gsas-ii.readthedocs.io/en/latest/GSASIIutil.html#GSASIIspc.spg2origins">listed 7104 here</a>). These are centrosymmetric space groups where the highest symmetry 7105 point in the structure does not contain a center of symmetry. Origin 1 places 7106 the origin at the highest symmetry setting while Origin 2 places the origin at 7107 a center of symmetry (creating a -x,-y,-z symmetry operator, which means that 7108 reflection phases can only be 0 or π.) GSAS-II requires use of the Origin 2 7109 settings because computations are much faster and simpler without complex 7110 structure factors. Alas, the literature contains a number of structures 7111 reported in Origin 1, where the origin choice may not be clearly communicated. 7112 (The CIF standard does not require that origin choice be indicated.) When a 7113 structure is imported that uses any of the space groups where an origin choice 7114 is possible, a message is shown in GSAS-II notifying the user that they must 7115 confirm that the origin choice is correct. <o:p></o:p></span></p> 7116 7117 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7118 style='mso-fareast-font-family:"Times New Roman"'>Example:</span></b><span 7119 style='mso-fareast-font-family:"Times New Roman"'> An example of what can go 7120 wrong is illustrated with the structure of anatase. The space group is <i>I</i> 7121 4<sub>1</sub>/<i>a m d</i>. In Origin 1 the coordinates are: <o:p></o:p></span></p> 7122 7123 <table class=MsoNormalTable border=0 cellpadding=0 style='mso-cellspacing:1.5pt; 7124 margin-left:3.0in;mso-yfti-tbllook:1184'> 7125 <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> 7126 <td colspan=4 style='padding:.75pt .75pt .75pt .75pt'> 7127 <p class=MsoNormal align=center style='text-align:center'><b><span 7128 style='mso-fareast-font-family:"Times New Roman"'>Origin 1<o:p></o:p></span></b></p> 7129 </td> 7130 </tr> 7131 <tr style='mso-yfti-irow:1'> 7132 <td style='padding:.75pt .75pt .75pt .75pt'> 7133 <p class=MsoNormal align=center style='text-align:center'><b><span 7134 style='mso-fareast-font-family:"Times New Roman"'>atom<o:p></o:p></span></b></p> 7135 </td> 7136 <td colspan=3 style='padding:.75pt .75pt .75pt .75pt'> 7137 <p class=MsoNormal align=center style='text-align:center'><b><span 7138 style='mso-fareast-font-family:"Times New Roman"'>coordinates<o:p></o:p></span></b></p> 7139 </td> 7140 </tr> 7141 <tr style='mso-yfti-irow:2'> 7142 <td style='padding:.75pt .75pt .75pt .75pt'> 7143 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>Ti<o:p></o:p></span></p> 7144 </td> 7145 <td style='padding:.75pt .75pt .75pt .75pt'> 7146 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7147 </td> 7148 <td style='padding:.75pt .75pt .75pt .75pt'> 7149 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7150 </td> 7151 <td style='padding:.75pt .75pt .75pt .75pt'> 7152 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7153 </td> 7154 </tr> 7155 <tr style='mso-yfti-irow:3;mso-yfti-lastrow:yes'> 7156 <td style='padding:.75pt .75pt .75pt .75pt'> 7157 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>O<o:p></o:p></span></p> 7158 </td> 7159 <td style='padding:.75pt .75pt .75pt .75pt'> 7160 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7161 </td> 7162 <td style='padding:.75pt .75pt .75pt .75pt'> 7163 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7164 </td> 7165 <td style='padding:.75pt .75pt .75pt .75pt'> 7166 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0.208<o:p></o:p></span></p> 7167 </td> 7168 </tr> 7169 </table> 7170 7171 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7172 style='mso-fareast-font-family:"Times New Roman";color:white;mso-color-alt: 7173 windowtext'>and in Origin 2 the coordinates are: </span><span style='mso-fareast-font-family: 7174 "Times New Roman"'><o:p></o:p></span></p> 7175 7176 <table class=MsoNormalTable border=0 cellpadding=0 style='mso-cellspacing:1.5pt; 7177 margin-left:3.0in;mso-yfti-tbllook:1184'> 7178 <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes'> 7179 <td colspan=4 style='padding:.75pt .75pt .75pt .75pt'> 7180 <p class=MsoNormal align=center style='text-align:center'><b><span 7181 style='mso-fareast-font-family:"Times New Roman"'>Origin 2<o:p></o:p></span></b></p> 7182 </td> 7183 </tr> 7184 <tr style='mso-yfti-irow:1'> 7185 <td style='padding:.75pt .75pt .75pt .75pt'> 7186 <p class=MsoNormal align=center style='text-align:center'><b><span 7187 style='mso-fareast-font-family:"Times New Roman"'>atom<o:p></o:p></span></b></p> 7188 </td> 7189 <td colspan=3 style='padding:.75pt .75pt .75pt .75pt'> 7190 <p class=MsoNormal align=center style='text-align:center'><b><span 7191 style='mso-fareast-font-family:"Times New Roman"'>coordinates<o:p></o:p></span></b></p> 7192 </td> 7193 </tr> 7194 <tr style='mso-yfti-irow:2'> 7195 <td style='padding:.75pt .75pt .75pt .75pt'> 7196 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>Ti<o:p></o:p></span></p> 7197 </td> 7198 <td style='padding:.75pt .75pt .75pt .75pt'> 7199 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7200 </td> 7201 <td style='padding:.75pt .75pt .75pt .75pt'> 7202 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>1/4<o:p></o:p></span></p> 7203 </td> 7204 <td style='padding:.75pt .75pt .75pt .75pt'> 7205 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>-1/8<o:p></o:p></span></p> 7206 </td> 7207 </tr> 7208 <tr style='mso-yfti-irow:3;mso-yfti-lastrow:yes'> 7209 <td style='padding:.75pt .75pt .75pt .75pt'> 7210 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>O<o:p></o:p></span></p> 7211 </td> 7212 <td style='padding:.75pt .75pt .75pt .75pt'> 7213 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0<o:p></o:p></span></p> 7214 </td> 7215 <td style='padding:.75pt .75pt .75pt .75pt'> 7216 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>1/4<o:p></o:p></span></p> 7217 </td> 7218 <td style='padding:.75pt .75pt .75pt .75pt'> 7219 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>0.083<o:p></o:p></span></p> 7220 </td> 7221 </tr> 7222 </table> 7223 7224 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7225 style='mso-fareast-font-family:"Times New Roman";color:white;mso-color-alt: 7226 windowtext'>where the origin is shifted by (0,0.25,-0.125). </span><span 7227 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7228 7229 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><!--[if gte vml 1]><v:shape 7230 id="Picture_x0020_3" o:spid="_x0000_s1027" type="#_x0000_t75" style='position:absolute; 7231 left:0;text-align:left;margin-left:190.3pt;margin-top:0;width:241.5pt; 7232 height:142.5pt;z-index:251658752;visibility:visible;mso-wrap-style:square; 7233 mso-width-percent:0;mso-height-percent:0;mso-wrap-distance-left:0; 7234 mso-wrap-distance-top:0;mso-wrap-distance-right:0;mso-wrap-distance-bottom:0; 7235 mso-position-horizontal:right;mso-position-horizontal-relative:text; 7236 mso-position-vertical:absolute;mso-position-vertical-relative:line; 7237 mso-width-percent:0;mso-height-percent:0;mso-width-relative:page; 7238 mso-height-relative:page' o:allowoverlap="f"> 7239 <v:imagedata src="gsasII_files/wrong.png"/> 7240 <w:wrap type="square" anchory="line"/> 7241 </v:shape><![endif]--><![if !vml]><img width=322 height=190 7242 src="gsasII_files/wrong.png" align=right v:shapes="Picture_x0020_3"><![endif]><span 7243 style='mso-fareast-font-family:"Times New Roman"'>Since GSAS-II always the 7244 symmetry operators for Origin 2, if structure is input incorrectly with the 7245 coordinates set for Origin 1, there are several fairly obvious signs of 7246 problems: (1) the site symmetries and multiplicities are wrong, often giving an 7247 incorrect chemical formula, (2) the interatomic distances are incorrect, and 7248 (3) a plot of the structure is improbable. In this case incorrect 7249 multiplicities gives rise to a density of 7.9 g/cc, double the correct value. 7250 Impossible interatomic distances of 1.88Å for Ti-Ti, and 1.39Å for Ti-O are 7251 seen. The unit cell contents with the wrong space group operators is shown to 7252 the right. <o:p></o:p></span></p> 7253 7254 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7255 style='mso-fareast-font-family:"Times New Roman"'>With coordinates that match 7256 the space group operations, the correct Ti-O distances are 1.92Å and 1.97Å and 7257 the shortest Ti-Ti distance is 3.0Å. (Note that interatomic distances can be 7258 computed in GSAS-II using the Phase Atoms tab and the Compute/"Show 7259 Distances & Angles" menu item.) <o:p></o:p></span></p> 7260 7261 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><!--[if gte vml 1]><v:shape 7262 id="Picture_x0020_4" o:spid="_x0000_s1026" type="#_x0000_t75" style='position:absolute; 7263 left:0;text-align:left;margin-left:221.8pt;margin-top:0;width:273pt;height:339.75pt; 7264 z-index:251659776;visibility:visible;mso-wrap-style:square; 7265 mso-width-percent:0;mso-height-percent:0;mso-wrap-distance-left:0; 7266 mso-wrap-distance-top:0;mso-wrap-distance-right:0;mso-wrap-distance-bottom:0; 7267 mso-position-horizontal:right;mso-position-horizontal-relative:text; 7268 mso-position-vertical:absolute;mso-position-vertical-relative:line; 7269 mso-width-percent:0;mso-height-percent:0;mso-width-relative:page; 7270 mso-height-relative:page' o:allowoverlap="f"> 7271 <v:imagedata src="gsasII_files/xform.png"/> 7272 <w:wrap type="square" anchory="line"/> 7273 </v:shape><![endif]--><![if !vml]><img width=364 height=1 7274 src="gsasII_files/xform.png" align=right v:shapes="Picture_x0020_4"><![endif]><b><span 7275 style='mso-fareast-font-family:"Times New Roman"'>Transform Origin:</span></b><span 7276 style='mso-fareast-font-family:"Times New Roman"'> To transform a space group 7277 setting from Origin setting 1 to 2, use the Transform option in the Compute 7278 menu and then select the last option in the "Common transformations" 7279 pulldown menu, which will be setting 1->2 for space groups where both 7280 origins are available, as shown to the right. The transformation matrix will be 7281 set to the identity and the "V" vector will have the required origin 7282 shift loaded. Press OK. The changes can be seen by selecting the Atoms tab. </span></p> 7283 7284 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7285 style='mso-fareast-font-family:"Times New Roman"'><br clear=right 7286 style='mso-special-character:line-break'> 7287 <o:p></o:p></span></p> 7288 7289 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 7290 name=Data></a><u>Data</u></h4> 7291 7292 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>This 7293 tab serves several purposes. It is used to link histograms to the selected 7294 phase and it allows the values and refinement flags to be set for the 7295 parameters that are defined for each histogram-phase pair, labeled as HAP 7296 parameters. [Note that some GSAS-II parameters are defined for each phase 7297 (atomic positions, for example), other parameters are defined for each histogram 7298 (scale factors and instrumental constants, for example) but the HAP parameters 7299 have values for each histogram in each phase.] It can also be used to show a 7300 graphical representation of an HAP parameter set.</p> 7301 7302 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 7303 HAP parameters include: the phase fraction; the sample contribution to peak 7304 broadening: microstrain and crystallite size; a LeBail intensity extraction 7305 flag; hydrostatic/elastic strain shifts to lattice parameters; corrections to 7306 peak intensities due to experimental effects (preferred orientation, extinction 7307 and disordered solvents).</p> 7308 7309 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7310 style='mso-fareast-font-family:"Times New Roman"'>Use flag</span></b><span 7311 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7312 7313 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7314 style='mso-fareast-font-family:"Times New Roman"'>When the Use flag is 7315 selected, the currently selected phase is used to compute intensities as a 7316 contribution to the selected histogram (single-crystal histograms can have only 7317 one phase; powder histograms can have any number of associated phases). When 7318 not set, the phase is not present in the selected histogram. <o:p></o:p></span></p> 7319 7320 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7321 style='mso-fareast-font-family:"Times New Roman"'>Phase fraction</span></b><span 7322 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7323 7324 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7325 style='mso-fareast-font-family:"Times New Roman"'>used in powder histograms: a 7326 multiplier that determines the relative amount of the selected phase to a 7327 histogram. Note that when the histogram scale factor is varied, these values 7328 are on a relative scale. Conventional practice it to vary the scale factor and 7329 to not vary the phase fraction for one phase in a histogram. Do not refine the 7330 scale factor and all phase fractions unless a constraint is defined so the 7331 phase fractions add to 1. <o:p></o:p></span></p> 7332 7333 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7334 style='mso-fareast-font-family:"Times New Roman"'>Crystallite size peak 7335 broadening</span></b><span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7336 7337 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7338 style='mso-fareast-font-family:"Times New Roman"'>is computed from size 7339 factor(s) in microns (10<sup>-6</sup> m), with the Scherrer constant assumed as 7340 unity. Sizes can be computed in three ways: isotropic, uniaxial and 7341 ellipsoidal. In isotropic broadening, crystallites are assumed to average as 7342 uniform in all directions and a single size value is supplied; with uniaxial 7343 broadening, a preferred direction (as a crystallographic axis, such as 0,0,1 is 7344 supplied) -- note that for most crystal systems only one axis makes sense -- 7345 and two size parameters are defined, one for along the axis and one for in the 7346 perpendicular plane; with ellipsoidal, six terms are used to define a 7347 broadening tensor that has arbitrary orientation -- this model may require 7348 constraints and is seldomly needed. Note that size broadening is usually 7349 Lorentzian, which corresponds to a LGmix value of 1.0; if this value is between 7350 0. and 1., both Gaussian and Lorentz size broadening is modeled and a value of 7351 0.0 is pure Gaussian. Values less than 0. or greater than 1. make no physical 7352 sense. <o:p></o:p></span></p> 7353 7354 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7355 style='mso-fareast-font-family:"Times New Roman"'>Microstrain peak broadening </span></b><span 7356 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7357 7358 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7359 style='mso-fareast-font-family:"Times New Roman"'>is computed as unitless 7360 fraction of delta d-space/d-space (or equivalently delta-Q/Q) times 10<sup>6</sup>. 7361 Microstrain can be computed in three ways: isotropic, uniaxial and generalized. 7362 In isotropic broadening, microstrain broadening assumed to be the same in all 7363 crystallographic directions and a single value is supplied; with uniaxial 7364 broadening, a preferred direction (as a crystallographic axis, such as 0,0,1) 7365 is supplied -- note that for most crystal systems only one axis makes sense -- 7366 and two microstrain parameters are defined, one for along the axis and one for 7367 in the perpendicular plane; with generalized, the Peter Stephens second-order 7368 expansion model is used and the number of terms will depend on the crystal 7369 system. It is typically possible to refine all terms when significant 7370 anisotropic strain broadening is present. Note that microstrain broadening is 7371 usually Lorentzian, which corresponds to a LGmix value of 1.0; if this value is 7372 between 0. and 1., both Gaussian and Lorentz broadening is modeled and a value 7373 of 0.0 is pure Gaussian. Values less than 0. or greater than 1. make no 7374 physical sense. <o:p></o:p></span></p> 7375 7376 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7377 style='mso-fareast-font-family:"Times New Roman"'>LeBail intensity extraction </span></b><span 7378 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7379 7380 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7381 style='mso-fareast-font-family:"Times New Roman"'>When this is selected, 7382 intensities are set to values that are best-fit using the LeBail intensity 7383 determination method rather than are computed from the atomic information for 7384 the phase. <o:p></o:p></span></p> 7385 7386 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7387 style='mso-fareast-font-family:"Times New Roman"'>Hydrostatic/elastic strain</span></b><span 7388 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7389 7390 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7391 style='mso-fareast-font-family:"Times New Roman"'>shifts the lattice constants 7392 for the contribution of a phase into a histogram (powder diffraction only). The 7393 values are added to the <a 7394 href="http://gsas-ii.readthedocs.io/en/latest/GSASIIutil.html#gsasiilattice-unit-cells">reciprocal 7395 lattice parameter tensor terms</a>. They must be refined in sequential 7396 refinements or where the lattice constants are slightly different in different 7397 histograms (as an example see the <a 7398 href="https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/CWCombined/Combined%20refinement.htm">Combined 7399 X-ray/CW-neutron refinement of PbSO4 tutorial</a>. <o:p></o:p></span></p> 7400 7401 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 7402 name="Preferred_orientation"><b><span style='mso-fareast-font-family:"Times New Roman"'>Preferred 7403 orientation</span></b></a><span style='mso-bookmark:Preferred_orientation'></span><span 7404 style='mso-fareast-font-family:"Times New Roman"'> <o:p></o:p></span></p> 7405 7406 <p class=MsoNormal style='margin-left:.5in'><span style='mso-fareast-font-family: 7407 "Times New Roman"'>is treated in one of two ways. Intensity corrections can be 7408 added to the model here or a full texture model is possible with the "<u><span 7409 style='color:blue'><a href="#Texture">Texture</a></span></u>" tab (which 7410 usually requires multiple histograms at different sample or detector settings). 7411 The approaches available here are March-Dollase, which requires a definition of 7412 a unique axis (in crystallographic coordinates) and the relative amount of 7413 excess or depletion of crystallites in that direction; or Spherical Harmonics, 7414 where the selection of an order determines the shape of the probability surface 7415 (which is always constrained to match the symmetry of the crystal system). <o:p></o:p></span></p> 7416 7417 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7418 style='mso-fareast-font-family:"Times New Roman"'>Extinction </span></b><span 7419 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7420 7421 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7422 style='mso-fareast-font-family:"Times New Roman"'>can occur when 7423 crystals/crystallites have minimal mosaic character, which results in lowering 7424 of diffraction intensities for the most intense reflections. This is not 7425 commonly seen in powder diffraction. <o:p></o:p></span></p> 7426 7427 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><b><span 7428 style='mso-fareast-font-family:"Times New Roman"'>Disordered solvent</span></b><span 7429 style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> 7430 7431 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7432 style='mso-fareast-font-family:"Times New Roman"'>This correction, using the 7433 Babinet model, is typically used to treat scattering from water that is not 7434 well-ordered in protein structures. It probably makes no sense in any other 7435 application. <o:p></o:p></span></p> 7436 7437 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7438 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?</span></h5> 7439 7440 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 7441 margin-left:.5in;text-indent:-.25in;mso-list:l26 level1 lfo36;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7442 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 7443 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 7444 style='mso-fareast-font-family:"Times New Roman"'>In this tab, menu items allow 7445 copying values or refinement flags to histograms/phases and selection of which 7446 histograms are used in the current phase. <o:p></o:p></span></p> 7447 7448 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 7449 margin-left:.5in;text-indent:-.25in;mso-list:l26 level1 lfo36;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7450 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 7451 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 7452 style='mso-fareast-font-family:"Times New Roman"'>The plot selection items 7453 allow for three dimensional representations of the microstrain or crystallite 7454 size distributions (which are spheres for isotropic treatments); preferred 7455 orientation can be plotted as a Psi scan (a plot of relative crystallite 7456 abundance for a particular reflection as a function of azimuthal angle) or as 7457 an inverse pole figure (which shows in a stereographic projection the 7458 probability distribution for different reciprocal lattice directions for a 7459 particular sample orientation). <o:p></o:p></span></p> 7460 7461 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 7462 name=Atoms></a><u>Atoms</u><span class=MsoHyperlink><span style='font-size: 7463 12.0pt;font-family:"Times New Roman",serif;color:#4F4FFF;font-style:normal; 7464 text-decoration:none;text-underline:none'><o:p></o:p></span></span></h4> 7465 7466 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>This 7467 is the table of parameters for the atoms in this crystal structure model. The 7468 menu controls allow manipulation of the values, refinement flags as well as 7469 initiate calculations of geometrical values (distances & angles) among the 7470 atoms.</p> 7471 7472 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7473 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<span 7474 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 7475 none'><o:p></o:p></span></span></span></h5> 7476 7477 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 7478 text-indent:-.25in;mso-list:l5 level1 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7479 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 7480 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>1. 7481 Atom selection from table - These are controlled by the mouse and the 7482 Shift/Ctrl/Alt keys. Note that for most purposes (one exception is atom 7483 reordering which requires an Alt-Left-click on the rows), selection of any cell 7484 for an atom will work equivalently with selection of the entire row:</p> 7485 7486 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7487 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7488 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7489 color:windowtext;text-decoration:none;text-underline:none'><span 7490 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 7491 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7492 style='mso-fareast-font-family:"Times New Roman"'>Left Mouse Button (LMB)</span></b><span 7493 style='mso-fareast-font-family:"Times New Roman"'> – on a row number selects 7494 the atom.<span class=MsoHyperlink><span style='color:windowtext;text-decoration: 7495 none;text-underline:none'><o:p></o:p></span></span></span></p> 7496 7497 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7498 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7499 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7500 color:windowtext;text-decoration:none;text-underline:none'><span 7501 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 7502 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7503 style='mso-fareast-font-family:"Times New Roman"'>Shift LMB</span></b><span 7504 style='mso-fareast-font-family:"Times New Roman"'> – on a row number selects 7505 all atoms from last selection to the selected row (or top is none previously 7506 selected).<span class=MsoHyperlink><span style='color:windowtext;text-decoration: 7507 none;text-underline:none'><o:p></o:p></span></span></span></p> 7508 7509 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7510 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7511 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7512 color:windowtext;text-decoration:none;text-underline:none'><span 7513 style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 7514 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7515 style='mso-fareast-font-family:"Times New Roman"'>Ctrl LMB</span></b><span 7516 style='mso-fareast-font-family:"Times New Roman"'> – on a row number 7517 selects/deselects the atom.<span class=MsoHyperlink><span style='color:windowtext; 7518 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7519 7520 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7521 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7522 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7523 color:windowtext;text-decoration:none;text-underline:none'><span 7524 style='mso-list:Ignore'>d.<span style='font:7.0pt "Times New Roman"'> 7525 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7526 style='mso-fareast-font-family:"Times New Roman"'>Alt LMB</span></b><span 7527 style='mso-fareast-font-family:"Times New Roman"'> – on a row number selects 7528 that atom for moving; the status line at bottom of window will show name of 7529 atom selected. Use <b style='mso-bidi-font-weight:normal'>Alt LMB</b> again to 7530 select a target row for this atom; insertion will be before this row and the 7531 table will be updated to show the change. NB: the <b style='mso-bidi-font-weight: 7532 normal'>Draw Atoms</b> list is not updated by this change.<span 7533 class=MsoHyperlink><span style='color:windowtext;text-decoration:none; 7534 text-underline:none'><o:p></o:p></span></span></span></p> 7535 7536 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7537 auto;text-indent:-.25in;mso-list:l5 level1 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7538 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7539 color:windowtext;text-decoration:none;text-underline:none'><span 7540 style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'> 7541 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Double 7542 left click a Type column heading</b>: a dialog box is shown that allows you to 7543 select all atoms with that type. <span class=MsoHyperlink><span 7544 style='mso-fareast-font-family:"Times New Roman";color:windowtext;text-decoration: 7545 none;text-underline:none'><o:p></o:p></span></span></p> 7546 7547 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7548 auto;text-indent:-.25in;mso-list:l5 level1 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7549 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7550 color:windowtext;text-decoration:none;text-underline:none'><span 7551 style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'> 7552 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Double 7553 click a refine or I/A column heading</b><span style='mso-fareast-font-family: 7554 "Times New Roman"'>: a dialog box will be shown with choices to be applied to 7555 every atom in the list.<span class=MsoHyperlink><span style='color:windowtext; 7556 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7557 7558 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7559 auto;text-indent:-.25in;mso-list:l5 level1 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7560 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7561 color:windowtext;text-decoration:none;text-underline:none'><span 7562 style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'> 7563 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7564 style='mso-fareast-font-family:"Times New Roman"'>Atom data item editing tools</span></b><span 7565 style='mso-fareast-font-family:"Times New Roman"'> – These are controlled by 7566 the mouse (<b style='mso-bidi-font-weight:normal'>Alt</b> ignored, <b 7567 style='mso-bidi-font-weight:normal'>Shift</b> & <b style='mso-bidi-font-weight: 7568 normal'>Ctrl</b> allow selection of multiple cells but no use is made of them). 7569 An individual data item can be cut/pasted anywhere including from/to another 7570 document. Bad entries are rejected. If any entry is changed, press <b 7571 style='mso-bidi-font-weight:normal'>Enter</b> key or select another atom entry 7572 to apply the change.<span class=MsoHyperlink><span style='color:windowtext; 7573 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7574 7575 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7576 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7577 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7578 color:windowtext;text-decoration:none;text-underline:none'><span 7579 style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 7580 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7581 style='mso-fareast-font-family:"Times New Roman"'>Name</span></b><span 7582 style='mso-fareast-font-family:"Times New Roman"'> – can change to any text 7583 string. <span class=MsoHyperlink><span style='color:windowtext;text-decoration: 7584 none;text-underline:none'><o:p></o:p></span></span></span></p> 7585 7586 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7587 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7588 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7589 color:windowtext;text-decoration:none;text-underline:none'><span 7590 style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 7591 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7592 style='mso-fareast-font-family:"Times New Roman"'>Type</span></b><span 7593 style='mso-fareast-font-family:"Times New Roman"'> – causes a popup display of the 7594 Periodic Table of the elements; select the element/valence desired; the atom 7595 will be renamed as well.<span class=MsoHyperlink><span style='color:windowtext; 7596 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7597 7598 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7599 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7600 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7601 color:windowtext;text-decoration:none;text-underline:none'><span 7602 style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 7603 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7604 style='mso-fareast-font-family:"Times New Roman"'>refine</span></b><span 7605 style='mso-fareast-font-family:"Times New Roman"'> – shows a pulldown of 7606 allowed refinement flag choices to be shown; select one (top entry is blank for 7607 no refinement).<span class=MsoHyperlink><span style='color:windowtext; 7608 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7609 7610 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7611 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7612 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7613 color:windowtext;text-decoration:none;text-underline:none'><span 7614 style='mso-list:Ignore'>d.<span style='font:7.0pt "Times New Roman"'> 7615 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7616 style='mso-fareast-font-family:"Times New Roman"'>x,y,z</span></b><span 7617 style='mso-fareast-font-family:"Times New Roman"'> – change atom coordinate. 7618 Fractions (e.g. 1/3, 1/4) are allowed.<span class=MsoHyperlink><span 7619 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7620 7621 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7622 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7623 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7624 color:windowtext;text-decoration:none;text-underline:none'><span 7625 style='mso-list:Ignore'>e.<span style='font:7.0pt "Times New Roman"'> 7626 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7627 style='mso-fareast-font-family:"Times New Roman"'>frac,Uiso,Uij</span></b><span 7628 style='mso-fareast-font-family:"Times New Roman"'> – change these values; 7629 numeric entry only.<span class=MsoHyperlink><span style='color:windowtext; 7630 text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7631 7632 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7633 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7634 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 7635 color:windowtext;text-decoration:none;text-underline:none'><span 7636 style='mso-list:Ignore'>f.<span style='font:7.0pt "Times New Roman"'> 7637 </span></span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span 7638 style='mso-fareast-font-family:"Times New Roman"'>I/A</span></b><span 7639 style='mso-fareast-font-family:"Times New Roman"'> – select one of <b 7640 style='mso-bidi-font-weight:normal'>I</b>(sotropic) or <b style='mso-bidi-font-weight: 7641 normal'>A</b>(nisotropic); the <b style='mso-bidi-font-weight:normal'>Uiso/Uij</b> 7642 entries will change appropriately. <span class=MsoHyperlink><span 7643 style='color:windowtext;text-decoration:none;text-underline:none'><o:p></o:p></span></span></span></p> 7644 7645 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7646 auto;text-indent:-.25in;mso-list:l5 level1 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7647 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 7648 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Menu 7649 ‘<b style='mso-bidi-font-weight:normal'>Edit’ - </b>The edit menu shows 7650 operations that can be performed on your selected atoms. You must select one or 7651 more atoms before using many of the menu items.</p> 7652 7653 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7654 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7655 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 7656 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7657 style='mso-bidi-font-weight:normal'>Append atom</b> – add an H atom (name= Unk) 7658 at 0,0,0 to the end of the atom table, it is also drawn as an H atom in the 7659 structure plot.</p> 7660 7661 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7662 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7663 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 7664 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7665 style='mso-bidi-font-weight:normal'>Append view point</b> – add an H atom 7666 (name= Unk) to the end of the atom table with coordinates matching the location 7667 of the view point, it is drawn as an H atom in the structure plot</p> 7668 7669 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7670 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7671 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 7672 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7673 style='mso-bidi-font-weight:normal'>Insert atom</b> – insert an H atom (name= 7674 Unk) at 0,0,0 before the selected atom, it is also drawn as an H atom in the 7675 structure plot.</p> 7676 7677 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7678 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7679 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 7680 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7681 style='mso-bidi-font-weight:normal'>Insert view point</b> – insert an H atom 7682 (name= Unk) before the selected atom with coordinates matching the location of 7683 the view point, it is also drawn as an H atom in the structure plot.</p> 7684 7685 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7686 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7687 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 7688 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7689 style='mso-bidi-font-weight:normal'>Delete atom</b> – selected atoms will be 7690 deleted from the atom list, they should also vanish from the structure drawing.</p> 7691 7692 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7693 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7694 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>f.<span 7695 style='font:7.0pt "Times New Roman"'> 7696 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Set atom 7697 refinement flags</b> – A popup dialog box appears; select refinement flags to 7698 apply to all selected atoms.</p> 7699 7700 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7701 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7702 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>g.<span 7703 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7704 style='mso-bidi-font-weight:normal'>Modify atom parameters</b> – A popup dialog 7705 box appears with a list of atom parameter names; select one to apply to all 7706 atoms. <b style='mso-bidi-font-weight:normal'>Name</b> will rename selected 7707 atoms according to position in table (e.g. Na(1) for Na atom as 1<sup>st</sup> 7708 atom in list in row ‘0’). <b style='mso-bidi-font-weight:normal'>Type</b> will 7709 give periodic table popup; selected element valence will be used for all 7710 selected atoms and atoms names will be changed. <b style='mso-bidi-font-weight: 7711 normal'>I/A</b> will give popup with choices to be used for all selected atoms. 7712 <b style='mso-bidi-font-weight:normal'>x,y,z</b> will give popup for shift to 7713 be applied to the parameter for all selected atoms. <b style='mso-bidi-font-weight: 7714 normal'>Uiso</b> and <b style='mso-bidi-font-weight:normal'>frac</b> will give 7715 popup for new value to be used for all selected atoms. </p> 7716 7717 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7718 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7719 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>h.<span 7720 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7721 style='mso-bidi-font-weight:normal'>Transform atoms</b> – A popup dialog box 7722 appears; select space group operator/unit cell translation to apply to the 7723 selected atoms. You can optionally force the result to be within the unit cell 7724 and optionally generate a new set of atom positions.</p> 7725 7726 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7727 auto;text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7728 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>i.<span 7729 style='font:7.0pt "Times New Roman"'> 7730 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Reload 7731 draw atoms</b> – </p> 7732 7733 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7734 auto;text-indent:-.25in;mso-list:l5 level1 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7735 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>6.<span 7736 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Menu<b 7737 style='mso-bidi-font-weight:normal'> ‘Compute’ – </b></p> 7738 7739 <p class=MsoListParagraphCxSpLast style='margin-left:1.5in;mso-add-space:auto; 7740 text-indent:-.25in;mso-list:l5 level2 lfo38;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7741 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 7742 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7743 style='mso-bidi-font-weight:normal'>Distances & Angles – </b>compute 7744 distances and angles with esds (if possible) for selected atoms. A popup dialog 7745 box will appear with distance angle controls. NB: if atoms have been added or 7746 their type changed, you may need to do a <b style='mso-bidi-font-weight:normal'>Reset</b> 7747 of this dialog box before proceeding.</p> 7748 7749 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7750 style='mso-fareast-font-family:"Times New Roman"'>What can I do with the plot?</span></h5> 7751 7752 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>A 7753 plot will be displayed only if the Draw Options or Draw Atoms tabs are visited 7754 before use of the Atoms tab. In that case the crystal structure is shown. Use 7755 of the mouse buttons changes the view of the structure and can be used to 7756 select atoms.<o:p></o:p></p> 7757 7758 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7759 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7760 "Times New Roman"'><BL>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7761 style='mso-spacerun:yes'> </span><b>Left drag</b>: Holding down left button 7762 rotates axes around screen x & y <o:p></o:p></span></p> 7763 7764 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7765 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7766 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7767 style='mso-spacerun:yes'> </span><b>Right drag</b>: Holding down right button 7768 translates the fractional coordinates assigned to the view point (which is kept 7769 at the center of the plot). The structure will appear to translate. The view 7770 point can also be entered directly in the Draw Options. <o:p></o:p></span></p> 7771 7772 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7773 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7774 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7775 style='mso-spacerun:yes'> </span><b>Middle drag</b>: Holding down center 7776 button rotates axes around screen z (direction perpendicular to screen). <o:p></o:p></span></p> 7777 7778 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7779 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7780 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7781 style='mso-spacerun:yes'> </span><b>Wheel</b>: Rotating the scroll wheel: 7782 changes “camera position” (zoom in/out) <o:p></o:p></span></p> 7783 7784 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7785 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7786 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7787 style='mso-spacerun:yes'> </span><b>Shift+Left click</b>: Holding down the 7788 shift key while clicking on an atom with the left mouse button causes that atom 7789 to be selected (Shift + a Right click does the same). Any previously selected 7790 atoms will be reset. If two atoms are overlapped in the current view, then the 7791 top-most atom will usually be selected. Only atoms in the asymmetric unit can 7792 be selected from the plot in this way. <o:p></o:p></span></p> 7793 7794 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7795 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7796 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7797 style='mso-spacerun:yes'> </span><b>Shift+Right click</b>: Holding down the 7798 shift key while clicking on an atom with the right mouse button causes the atom 7799 to be selected if previously unselected and unselected if previously selected. 7800 Any previously selected atoms will be continue to be selected so shift-right 7801 click can be used to add atoms to the selection list. If two atoms are 7802 overlapped in the current view, then the top-most atom will usually be 7803 selected. Only atoms in the asymmetric unit can be selected from the plot in 7804 this way. </BL><o:p></o:p></span></p> 7805 7806 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 7807 name="Draw_Options"><u>Draw Options</u></a></h4> 7808 7809 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7810 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<span 7811 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 7812 none'><o:p></o:p></span></span></span></h5> 7813 7814 <p class=MsoNormal style='margin-left:.75in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 7815 Draw Options window provides access to a number of items that control how the 7816 structure is displayed. </p> 7817 7818 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7819 style='mso-fareast-font-family:"Times New Roman"'>What is plotted here?</span></h5> 7820 7821 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>A 7822 plot that shows the atoms of the crystal structure is generated. The atoms are 7823 displayed according to the controls in the in this page as well as options on 7824 the <a href="#Draw_Atoms">Draw Atoms</a> page. </p> 7825 7826 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7827 style='mso-fareast-font-family:"Times New Roman"'>What can I do with the plot?</span></h5> 7828 7829 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>Use 7830 of the mouse buttons when viewing a crystal structure changes the view of the 7831 structure:<o:p></o:p></p> 7832 7833 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7834 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7835 "Times New Roman"'><BL>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7836 style='mso-spacerun:yes'> </span>Holding down left button (left drag): rotates 7837 axes around screen x & y <o:p></o:p></span></p> 7838 7839 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7840 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7841 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7842 style='mso-spacerun:yes'> </span>Holding down right button (right drag): 7843 translates the fractional coordinates assigned to the view point (which is kept 7844 at the center of the plot). Note that the view point coordinates can also be 7845 entered directly. <o:p></o:p></span></p> 7846 7847 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7848 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7849 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7850 style='mso-spacerun:yes'> </span>Holding down center button (center drag): 7851 rotates axes around screen z <o:p></o:p></span></p> 7852 7853 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7854 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 7855 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 7856 style='mso-spacerun:yes'> </span>Rotating the scroll wheel: changes “camera 7857 position” (zoom in/out) </BL><o:p></o:p></span></p> 7858 7859 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 7860 name="Draw_Atoms"></a><u>Draw Atoms<span class=MsoHyperlink><span 7861 style='color:#5B9BD5;mso-themecolor:accent1'><o:p></o:p></span></span></u></h4> 7862 7863 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>This 7864 gives a list of the atoms and bonds that are to be rendered as lines, van der 7865 Waals radii balls, sticks, balls & sticks, ellipsoids & sticks or 7866 polyhedra. There are two menus for this tab; Edit allows modification of the 7867 list of atoms to be rendered and Compute gives some options for geometric 7868 characterization of selected atoms.</p> 7869 7870 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 7871 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<span 7872 class=MsoHyperlink><span style='color:#4F4FFF;text-decoration:none;text-underline: 7873 none'><o:p></o:p></span></span></span></h5> 7874 7875 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 7876 text-indent:-.25in;mso-list:l13 level1 lfo40;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7877 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 7878 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7879 style='mso-bidi-font-weight:normal'>Atom Selection from table</b>: select 7880 individual atoms by a left click of the mouse when pointed at the left most 7881 column (atom numbers) of the atom display; hold down the Ctrl key to add to 7882 your selection; a previously selected atom will be deselected; hold down Shift 7883 key to select from last in list selected to current selection. A selected atom 7884 will be highlighted (in grey) and the atoms will be shown in green on the plot. 7885 Selection without the Ctrl key will clear previous selections. A double left 7886 click in the (empty) upper left box will select or deselect all atoms.</p> 7887 7888 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7889 auto;text-indent:-.25in;mso-list:l13 level1 lfo40;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7890 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 7891 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7892 style='mso-bidi-font-weight:normal'>Atom Selection from plot</b>: select an atom 7893 by a left click of the mouse while holding down the Shift key and pointed at 7894 the center of the displayed atom, it will turn green if successful and the 7895 corresponding entry in the table will be highlighted (in grey); any previous 7896 selections will be cleared. To add to .your selection use the right mouse 7897 button (Shift down); if a previously selection is reselected it is removed from 7898 the selection list. <b style='mso-bidi-font-weight:normal'>NB</b>: beware of 7899 atoms that are hiding behind the one you are trying to select, they may be 7900 selected inadvertently. You can rotate the structure anytime during the 7901 selection process.</p> 7902 7903 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7904 auto;text-indent:-.25in;mso-list:l13 level1 lfo40;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7905 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 7906 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7907 style='mso-bidi-font-weight:normal'>Double left click a Name, Type and Sym Op 7908 column heading</b>: a dialog box is shown that allows you to select all atoms 7909 with that characteristic. For example, selecting the Type column will show all 7910 the atom types; your choice will then cause all those atoms to be selected.</p> 7911 7912 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7913 auto;text-indent:-.25in;mso-list:l13 level1 lfo40;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7914 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>4.<span 7915 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7916 style='mso-bidi-font-weight:normal'>Double left click a Style, Label or Color 7917 column</b>: a dialog box is shown that allows you to select a rendering option 7918 for all the atoms. For Color a color choice dialog is displayed that covers the 7919 entire color spectrum. Choose a color by any of the means available, press the 7920 “Add to Custom Colors”, select that color in the Custom colors display and then 7921 press OK. <b style='mso-bidi-font-weight:normal'>NB</b>: selecting Color will 7922 make all atoms have the same color and for Style “blank” means the atoms aren’t 7923 rendered and thus the plot will not show any atoms or bonds!</p> 7924 7925 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 7926 auto;text-indent:-.25in;mso-list:l13 level1 lfo40;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7927 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 7928 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Menu 7929 ‘<b style='mso-bidi-font-weight:normal'>Edit’ - </b>The edit menu shows 7930 operations that can be performed on your selected atoms. You must select one or 7931 more atoms before using any of the menu items. Most of these items can also be 7932 accessed by selecting one or more atoms and right-clicking the mouse.</p> 7933 7934 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7935 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7936 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 7937 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7938 style='mso-bidi-font-weight:normal'>Atom style</b> – select the rendering style 7939 for the selected atoms</p> 7940 7941 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7942 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7943 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 7944 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7945 style='mso-bidi-font-weight:normal'>Atom label</b> – select the item to be 7946 shown as a label for each atom in selection. The choices are: none, type, name 7947 or number.</p> 7948 7949 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7950 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7951 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 7952 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7953 style='mso-bidi-font-weight:normal'>Atom color</b> – select the color for the 7954 atom; a color choice dialog is displayed that covers the entire color spectrum. 7955 Choose a color by any of the means available, press the “Add to Custom Colors”, 7956 select that color in the Custom colors display and then press OK.</p> 7957 7958 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7959 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7960 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 7961 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7962 style='mso-bidi-font-weight:normal'>Reset atom colors</b> – return the atom 7963 color back to their defaults for the selected atoms.</p> 7964 7965 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7966 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7967 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 7968 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7969 style='mso-bidi-font-weight:normal'>View point</b> – position the plot view 7970 point to the first atom in the selection.</p> 7971 7972 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7973 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7974 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>f.<span 7975 style='font:7.0pt "Times New Roman"'> 7976 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Add atoms</b> 7977 – using the selected atoms, new ones are added to the bottom of the list after 7978 applying your choice of symmetry operator and unit cell translation selected 7979 via a dialog display. Duplicate atom positions are not retained. Any 7980 anisotropic thermal displacement parameters (Uij) will be transformed as 7981 appropriate.</p> 7982 7983 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7984 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7985 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>g.<span 7986 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7987 style='mso-bidi-font-weight:normal'>Transform atoms</b> – apply a symmetry 7988 operator and unit cell translation to the set of selected atoms; they will be 7989 changed in place. Any anisotropic thermal displacement parameters (Uij) will be 7990 transformed as appropriate.</p> 7991 7992 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 7993 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 7994 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>h.<span 7995 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 7996 style='mso-bidi-font-weight:normal'>Fill CN-sphere</b> – using the atoms 7997 currently in the draw atom table, find all atoms that belong in the 7998 coordination sphere around the selected atoms via unit cell translations. NB: 7999 symmetry operations are not used in this search.</p> 8000 8001 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 8002 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 8003 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>i.<span 8004 style='font:7.0pt "Times New Roman"'> 8005 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Fill unit 8006 cell</b> - using the atoms currently selected from the draw atom table, find 8007 all atoms that fall inside or on the edge/surface/corners of the unit cell. 8008 This operation is frequently performed before Fill CN-sphere.</p> 8009 8010 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 8011 auto;text-indent:-.25in;mso-list:l16 level1 lfo42;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 8012 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>j.<span 8013 style='font:7.0pt "Times New Roman"'> 8014 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Delete 8015 atoms</b> – clear the entire draw atom table; it is then refilled from the 8016 Atoms table. You should do this operation after any changes in the Atoms table, 8017 e.g. by a structure refinement.</p> 8018 8019 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 8020 auto;text-indent:-.25in;mso-list:l13 level1 lfo40;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 8021 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>6.<span 8022 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Menu 8023 ‘<b style='mso-bidi-font-weight:normal'>Compute’</b> - The compute menu gives a 8024 choice of geometric calculations to be performed with the selected atoms. You 8025 must select the appropriate number of atoms for these to work and the 8026 computation is done for the atoms in selection order.</p> 8027 8028 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 8029 auto;text-indent:-.25in;mso-list:l13 level2 lfo40;tab-stops:list 1.0in'><![if !supportLists]><span 8030 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 8031 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 8032 style='mso-bidi-font-weight:normal'>View pt. dist.</b> - this calculates 8033 distance from view point to all selected draw atoms; result is given on the 8034 console window.</p> 8035 8036 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 8037 auto;text-indent:-.25in;mso-list:l13 level2 lfo40;tab-stops:list 1.0in'><![if !supportLists]><span 8038 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 8039 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 8040 style='mso-bidi-font-weight:normal'>Dist. Ang.</b> <b style='mso-bidi-font-weight: 8041 normal'>Tors. </b>– when 2-4 atoms are selected, a distance, angle or torsion 8042 angle will be found for them. The angles are computed for the atoms in their 8043 selection order. The torsion angle is a right hand angle about the A2-A3 vector 8044 for the sequence of atoms A1-A2-A3-A4. An estimated standard deviation is given 8045 for the calculated value if a current variance-covariance matrix is available. 8046 The result is shown on the console window; it may be cut & pasted to 8047 another application (e.g. Microsoft Word).</p> 8048 8049 <p class=MsoListParagraphCxSpLast style='margin-left:1.5in;mso-add-space:auto; 8050 text-indent:-.25in;mso-list:l13 level2 lfo40;tab-stops:list 1.0in'><![if !supportLists]><span 8051 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 8052 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 8053 style='mso-bidi-font-weight:normal'>Best plane</b> – when 4 or more atoms are 8054 selected, a best plane is determined for them. The result is shown on the 8055 console window; it may be cut & pasted to another application (e.g. 8056 Microsoft Word). Shown are the atom coordinates transformed to Cartesian best 8057 plane coordinates where the largest range is over the X-axis and the smallest 8058 is over the Z-axis with the origin at the unweighted center of the selection. 8059 Root mean square displacements along each axis for the best plane are also 8060 listed. The Z-axis RMS value indicates the flatness of the proposed plane. <b 8061 style='mso-bidi-font-weight:normal'>NB</b>: if you select (e.g. all) atoms then 8062 Best plane will give Cartesian coordinates for these atoms with respect to a 8063 coordinate system where the X-axis is along the longest axis of the atom 8064 grouping and the Z-axis is along the shortest distance. The origin is at the 8065 unweighted center of the selected atoms.</p> 8066 8067 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8068 style='mso-fareast-font-family:"Times New Roman"'>What is plotted here?</span></h5> 8069 8070 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>A 8071 plot that shows the atoms of the crystal structure is generated. The atoms are 8072 displayed according to the controls in the in this page as well as options on 8073 the <a href="#Draw_Options">Draw Options</a> page. </p> 8074 8075 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8076 style='mso-fareast-font-family:"Times New Roman"'>What can I do with the plot?</span></h5> 8077 8078 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>Use 8079 of the mouse buttons when viewing a crystal structure changes the view of the 8080 structure:<o:p></o:p></p> 8081 8082 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8083 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8084 "Times New Roman"'><BL>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8085 style='mso-spacerun:yes'> </span><b>Left drag</b>: Holding down left button 8086 rotates axes around screen x & y <o:p></o:p></span></p> 8087 8088 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8089 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8090 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8091 style='mso-spacerun:yes'> </span><b>Right drag</b>: Holding down right button 8092 translates the fractional coordinates assigned to the view point (which is kept 8093 at the center of the plot). The structure will appear to translate. (On Mac 8094 control+mouse drag will also do this). The view point can also be entered 8095 directly in the Draw Options. <o:p></o:p></span></p> 8096 8097 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8098 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8099 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8100 style='mso-spacerun:yes'> </span><b>Middle drag</b>: Holding down center 8101 button rotates axes around screen z (direction perpendicular to screen). <o:p></o:p></span></p> 8102 8103 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8104 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8105 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8106 style='mso-spacerun:yes'> </span><b>Mouse Wheel</b>: Rotating the scroll 8107 wheel: changes “camera position” (zoom in/out) <o:p></o:p></span></p> 8108 8109 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8110 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8111 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8112 style='mso-spacerun:yes'> </span><b>Shift+Left click</b>: Holding down the 8113 shift key while clicking on an atom with the left mouse button causes that atom 8114 to be selected. Any previously selected atoms will be reset. If two atoms are 8115 overlapped in the current view, then the top-most atom will usually be 8116 selected. Atom selection requires that either the "Atoms" or 8117 "Draw Atoms" phase be displayed. <o:p></o:p></span></p> 8118 8119 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8120 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8121 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8122 style='mso-spacerun:yes'> </span><b>Shift+Right click</b>: Holding down the 8123 shift key while clicking on an atom with the right mouse button causes the atom 8124 to be selected if previously unselected and unselected if previously selected. 8125 Any previously selected atoms will be continue to be selected so shift-right 8126 click can be used to add atoms to the selection list. (On Mac control+mouse 8127 click will also do this). If two atoms are overlapped in the current view, then 8128 the top-most atom will usually be selected. Atom selection requires that either 8129 the "Atoms" or "Draw Atoms" phase be displayed. </BL><o:p></o:p></span></p> 8130 8131 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 8132 name="RB_Models">RB Models</a></h4> 8133 8134 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>This 8135 is used to insert rigid bodies into a structure. The rigid bodies must first be 8136 defined for the project using the <a href="#Rigid_bodies">Rigid bodies tree item</a>. 8137 It also allows control of the location of the rigid body and in this phase</p> 8138 8139 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8140 style='mso-fareast-font-family:"Times New Roman"'>What can I do with the plot?</span></h5> 8141 8142 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>Use 8143 of the mouse buttons when viewing a crystal structure changes the view of the 8144 structure:<o:p></o:p></p> 8145 8146 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8147 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8148 "Times New Roman"'><BL>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8149 style='mso-spacerun:yes'> </span>Holding down left button (left drag): rotates 8150 axes around screen x & y <o:p></o:p></span></p> 8151 8152 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8153 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8154 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8155 style='mso-spacerun:yes'> </span>Holding down right button (right drag): 8156 translates the fractional coordinates assigned to the view point (which is kept 8157 at the center of the plot). The structure will appear to translate. The view 8158 point can also be entered directly in the Draw Options. <o:p></o:p></span></p> 8159 8160 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8161 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8162 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8163 style='mso-spacerun:yes'> </span>Holding down center button (center drag): 8164 rotates axes around screen z <o:p></o:p></span></p> 8165 8166 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8167 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8168 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8169 style='mso-spacerun:yes'> </span>Rotating the scroll wheel: changes “camera 8170 position” (zoom in/out) </BL><o:p></o:p></span></p> 8171 8172 <p style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>When 8173 a rigid body is being inserted into a structure, both the rigid body and the 8174 crystal structure are displayed. It is useful to plan for this by preselecting 8175 the atoms in the Draw Atoms list and to have atoms displayed as 8176 "Sticks" or "Ball-and-Sticks." The rigid body will be 8177 displayed as "Ball-and-Sticks" but bonds will be in green. Use of the 8178 Alt key causes the above mouse movements to reposition the rigid body rather 8179 than change the view of the crystal structure:<o:p></o:p></p> 8180 8181 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8182 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8183 "Times New Roman"'><BL>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8184 style='mso-spacerun:yes'> </span><b>Alt+Left drag</b>: Holding Alt while 8185 dragging the mouse with the left button down rotates the rigid body around 8186 screen x & y axes <o:p></o:p></span></p> 8187 8188 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8189 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8190 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8191 style='mso-spacerun:yes'> </span><b>Alt+Middle drag</b>: Holding Alt while 8192 dragging the mouse with the middle button down rotates the rigid body around 8193 screen z axis (out of screen) <o:p></o:p></span></p> 8194 8195 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 8196 style='font-family:Symbol;mso-ascii-font-family:"Times New Roman";mso-fareast-font-family: 8197 "Times New Roman"'>·</span><span style='mso-fareast-font-family:"Times New Roman"'><span 8198 style='mso-spacerun:yes'> </span><b>Alt+Right drag</b>: Holding Alt while 8199 dragging the mouse with the right button down translates the rigid body in the 8200 screen x & y directions (rotate the plot to see and move in the rigid body 8201 in the third direction.) Pressing the "Lock" checkbox next to the 8202 origin location prevents the origin from being changed in this way. </BL><o:p></o:p></span></p> 8203 8204 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 8205 name=Texture></a><a name="_Ref74983049"><span style='mso-bookmark:Texture'>Texture</span></a><span 8206 style='mso-bookmark:Texture'> </span></h4> 8207 8208 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><o:p> </o:p></p> 8209 8210 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>This 8211 tab is used to control settings used for a texture study of a material. This 8212 type of characterization requires diffraction data recorded with multiple 8213 detector orientations (the number of orientations will depend on sample and 8214 material symmetry). Do not confuse this with applying a <a 8215 href="#Preferred_orientation">preferred orientation correction</a> (found in 8216 the <a href="#Data">"Data" tab</a>) in a structural study. The sample 8217 orientation relative to the detector axes is specified here and the detector 8218 orientation is specified for each histogram as goniometer omega, chi, phi and 8219 azimuth values (details below). These values must be specified. </p> 8220 8221 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><o:p> </o:p></p> 8222 8223 <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8224 margin-left:.5in'>Texture analysis using GSAS-II employs spherical harmonics 8225 modeling, as described by Bunge, "Texture Analysis in Materials 8226 Science" (1982), and implemented by Von Dreele, J. Appl. Cryst., <b 8227 style='mso-bidi-font-weight:normal'>30</b>, 517-525 (1997) in GSAS. The even 8228 part of the orientation distribution function (ODF) via the general axis 8229 equation<o:p></o:p></p> 8230 8231 <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8232 margin-left:.5in;line-height:115%'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 8233 m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span 8234 style='font-family:"Cambria Math",serif'><m:r>A</m:r></span></i><m:d><m:dPr><span 8235 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8236 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8237 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 8238 normal'><span style='font-family:"Cambria Math",serif'><m:r>h</m:r><m:r>,</m:r><m:r>y</m:r></span></i></m:e></m:d><i 8239 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=1+</m:r></span></i><m:nary><m:naryPr><m:chr 8240 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8241 mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman"; 8242 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8243 normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i style='mso-bidi-font-style: 8244 normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>=2</m:r></span></i></m:sub><m:sup><m:sSub><m:sSubPr><span 8245 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8246 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8247 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i 8248 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>N</m:r></span></i></m:e><m:sub><i 8249 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub></m:sSub></m:sup><m:e><m:f><m:fPr><span 8250 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8251 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8252 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i 8253 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>4</m:r><m:r>π</m:r></span></i></m:num><m:den><i 8254 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:den></m:f><m:nary><m:naryPr><m:chr 8255 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8256 mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman"; 8257 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8258 normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 8259 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i 8260 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:nary><m:naryPr><m:chr 8261 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8262 mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman"; 8263 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8264 normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 8265 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i 8266 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span 8267 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8268 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8269 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8270 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i 8271 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8272 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary></m:e></m:nary><m:sSubSup><m:sSubSupPr><span 8273 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8274 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8275 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8276 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8277 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8278 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><i 8279 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>y</m:r><m:r>)</m:r></span></i><m:sSubSup><m:sSubSupPr><span 8280 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8281 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8282 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8283 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8284 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8285 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i 8286 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(h)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 8287 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8288 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 8289 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 8290 id="_x0000_i1025" type="#_x0000_t75" style='width:267.75pt;height:42pt'> 8291 <v:imagedata src="gsasII_files/image005.png" o:title="" chromakey="white"/> 8292 </v:shape><![endif]--><![if !vml]><img width=357 height=56 8293 src="gsasII_files/image050.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 8294 8295 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8296 margin-left:.5in'>is used to give the intensity corrections due to texture. The 8297 two harmonic terms, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8298 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8299 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8300 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8301 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8302 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8303 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8304 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8305 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8306 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 8307 normal'><span style='font-family:"Cambria Math",serif'><m:r>y</m:r></span></i></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span 8308 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8309 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8310 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8311 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8312 type="#_x0000_t75" style='width:33pt;height:26.25pt'> 8313 <v:imagedata src="gsasII_files/image007.png" o:title="" chromakey="white"/> 8314 </v:shape><![endif]--><![if !vml]><img width=44 height=35 8315 src="gsasII_files/image052.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 8316 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8317 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8318 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8319 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8320 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8321 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8322 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i 8323 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(h)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8324 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8325 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8326 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8327 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8328 type="#_x0000_t75" style='width:30pt;height:26.25pt'> 8329 <v:imagedata src="gsasII_files/image009.png" o:title="" chromakey="white"/> 8330 </v:shape><![endif]--><![if !vml]><img width=40 height=35 8331 src="gsasII_files/image054.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 8332 take on values according to the sample and crystal symmetries, respectively, 8333 and thus the two inner summations are over only the resulting unique, nonzero 8334 harmonic terms. These unique terms are automatically selected by <span 8335 style='mso-bidi-font-weight:bold'>GSAS-II</span> according to the space group 8336 symmetry and the user chosen sample symmetry. The available sample symmetries 8337 are cylindrical, 2/m, mmm and no symmetry. The choice of sample symmetry 8338 profoundly affects the selection of harmonic coefficients. For example, in the 8339 case of cylindrical sample symmetry (fiber texture) only <i>k<sub>L</sub><sup>0</sup>(y)</i> 8340 terms are nonzero so the rest are excluded from the summations and the set of <i>C<sub>L</sub><sup>0n</sup></i><sup> 8341 </sup>coefficients is sufficient to describe the effect on the diffraction 8342 pattern due to texture. The crystal harmonic factor, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8343 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8344 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8345 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8346 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8347 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8348 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i 8349 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(h)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8350 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8351 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8352 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8353 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8354 type="#_x0000_t75" style='width:30pt;height:26.25pt'> 8355 <v:imagedata src="gsasII_files/image009.png" o:title="" chromakey="white"/> 8356 </v:shape><![endif]--><![if !vml]><img width=40 height=35 8357 src="gsasII_files/image054.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 8358 is defined for each reflection, h, <i>via</i> polar and azimuthal coordinates (<span 8359 style='font-family:Symbol'>f</span>, <span style='font-family:Symbol'>b</span>) 8360 of a unit vector coincident with h relative to the reciprocal lattice. For most 8361 crystal symmetries, <span style='font-family:Symbol'>f</span> is the angle 8362 between h and the n-th order major rotation axis of the space group (usually 8363 the c-axis) and <span style='font-family:Symbol'>b</span> is the angle between 8364 the projections of h and any secondary axis (usually the a-axis) onto the 8365 normal plane.<span style='mso-spacerun:yes'> </span>In a similar way the 8366 sample harmonic factor, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8367 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8368 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8369 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8370 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8371 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8372 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><i 8373 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>y</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8374 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8375 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8376 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8377 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8378 type="#_x0000_t75" style='width:33pt;height:26.25pt'> 8379 <v:imagedata src="gsasII_files/image015.png" o:title="" chromakey="white"/> 8380 </v:shape><![endif]--><![if !vml]><img width=44 height=35 8381 src="gsasII_files/image055.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 8382 is defined according to polar and azimuthal coordinates (<span 8383 style='font-family:Symbol'>y</span>, <span style='font-family:Symbol'>g</span>) 8384 of a unit vector coincident with the diffraction vector relative to a 8385 coordinate system attached to the external form of the sample. For example, in 8386 the case of a rolled steel plate having mmm symmetry, the polar angle, <span 8387 style='font-family:Symbol'>y</span>, is frequently measured from the normal 8388 direction (ND, parallel to K<sub>s</sub>) and <span style='font-family:Symbol'>g</span> 8389 is then measured from the rolling direction (RD, parallel to I<sub>s</sub>) in 8390 the TD (transverse direction, parallel to J<sub>s</sub>) - RD plane.<span 8391 style='mso-spacerun:yes'> </span>Thus, the general axis equation becomes<o:p></o:p></p> 8392 8393 <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8394 margin-left:.5in;line-height:115%'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 8395 m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span 8396 style='font-family:"Cambria Math",serif'><m:r>A</m:r></span></i><m:d><m:dPr><span 8397 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8398 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8399 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i 8400 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>ϕ</m:r><m:r>,</m:r><m:r>β</m:r><m:r>,</m:r><m:r>ψ</m:r><m:r>,</m:r><m:r>γ</m:r></span></i></m:e></m:d><i 8401 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=1+</m:r></span></i><m:nary><m:naryPr><m:chr 8402 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8403 mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman"; 8404 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8405 normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i style='mso-bidi-font-style: 8406 normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>=2</m:r></span></i></m:sub><m:sup><m:sSub><m:sSubPr><span 8407 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8408 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8409 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i 8410 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>N</m:r></span></i></m:e><m:sub><i 8411 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub></m:sSub></m:sup><m:e><m:f><m:fPr><span 8412 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8413 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8414 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i 8415 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>4</m:r><m:r>π</m:r></span></i></m:num><m:den><i 8416 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:den></m:f></m:e></m:nary><m:nary><m:naryPr><m:chr 8417 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8418 mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman"; 8419 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8420 normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i style='mso-bidi-font-style: 8421 normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i 8422 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:nary><m:naryPr><m:chr 8423 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8424 mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman"; 8425 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8426 normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 8427 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i 8428 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span 8429 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8430 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8431 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8432 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i 8433 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8434 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:sSubSup><m:sSubSupPr><span 8435 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8436 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8437 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8438 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8439 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8440 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8441 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8442 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8443 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i 8444 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>ψ</m:r><m:r>,</m:r><m:r>γ</m:r></span></i></m:e></m:d></m:e></m:nary><m:sSubSup><m:sSubSupPr><span 8445 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8446 mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math"; 8447 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8448 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8449 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8450 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i 8451 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>φ</m:r><m:r>,</m:r><m:r>β</m:r><m:r>)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 8452 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8453 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 8454 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 8455 id="_x0000_i1025" type="#_x0000_t75" style='width:320.95pt;height:42pt'> 8456 <v:imagedata src="gsasII_files/image057.png" o:title="" chromakey="white"/> 8457 </v:shape><![endif]--><![if !vml]><img width=428 height=56 8458 src="gsasII_files/image056.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><br> 8459 Note that this version of the general axis equation differs from that shown in 8460 Von Dreele (1997) in that the assignment of m and n are reversed. </p> 8461 8462 <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8463 margin-left:.5in'>In a diffraction experiment the crystal reflection 8464 coordinates (<span style='font-family:Symbol'>f</span>, <span style='font-family: 8465 Symbol'>b</span>) are determined by the choice of reflection index (hkl) while 8466 the sample coordinates (<span style='font-family:Symbol'>y</span>, <span 8467 style='font-family:Symbol'>g</span>) are determined by the sample orientation 8468 on the diffractometer. To define the sample coordinates (<span 8469 style='font-family:Symbol'>y</span>, <span style='font-family:Symbol'>g</span>), 8470 we have defined an instrument coordinate system (I, J, K) such that K is normal 8471 to the diffraction plane and J is coincident with the direction of the incident 8472 radiation beam toward the source. We further define a standard set of 8473 right-handed eulerian goniometer angles (<span style='font-family:Symbol'>W</span>, 8474 <span style='font-family:Symbol'>C</span>, <span style='font-family:Symbol'>F</span>) 8475 so that <span style='font-family:Symbol'>W</span> and <span style='font-family: 8476 Symbol'>F</span> are rotations about K and <span style='font-family:Symbol'>C</span> 8477 is a rotation about J when <span style='font-family:Symbol'>W</span> <span 8478 style='font-family:Symbol'><span style='mso-spacerun:yes'> </span></span>= 8479 0.<span style='mso-spacerun:yes'> </span>Finally, as the sample may be mounted 8480 so that the sample coordinate system (I<sub>s</sub>, J<sub>s</sub>, K<sub>s</sub>) 8481 does not coincide with the instrument coordinate system (I, J, K), we define 8482 three eulerian sample rotation offset angles (<span style='font-family:Symbol'>W</span><sub>s</sub>, 8483 <span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family: 8484 Symbol'>F</span><sub>s</sub>) that describe the rotation from (I<sub>s</sub>, J<sub>s</sub>, 8485 K<sub>s</sub>) to (I, J, K).<span style='mso-spacerun:yes'> </span>The sample 8486 rotation angles are defined so that with the goniometer angles at zero <span 8487 style='font-family:Symbol'>W</span><sub>s</sub> and <span style='font-family: 8488 Symbol'>F</span><sub>s</sub> are rotations about K and <span style='font-family: 8489 Symbol'>C</span><sub>s</sub> is a rotation about J.<span 8490 style='mso-spacerun:yes'> </span>The zeros of these three sample rotation 8491 angles can be refined as part of the Rietveld analysis to accommodate any 8492 angular offset in sample mounting. For the specific case of cylindrical sample 8493 symmetry, the cylinder axis is coincident with K<sub>s</sub> as is the 2-fold 8494 in 2/m sample symmetry. After including the diffraction angle, <span 8495 style='font-family:Symbol'>Q</span>, and a detector azimuthal angle, A, the 8496 full rotation matrix, <b style='mso-bidi-font-weight:normal'>M</b>, is <o:p></o:p></p> 8497 8498 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8499 margin-left:.5in;line-height:115%'><b style='mso-bidi-font-weight:normal'>M = -</b><b 8500 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>Q</span>A</b><b 8501 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>WC</span>(</b><b 8502 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>F</span>+</b><b 8503 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>F</span><sub>s</sub>)</b><b 8504 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>C</span><sub>s</sub></b><b 8505 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>W</span><sub>s</sub><o:p></o:p></b></p> 8506 8507 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8508 margin-left:.5in'>By transformation of unit Cartesian vectors (100, 010 and 8509 001) with this rotation matrix, the sample orientation coordinates (<span 8510 style='font-family:Symbol'>y</span>, <span style='font-family:Symbol'>g</span>) 8511 are given by<o:p></o:p></p> 8512 8513 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8514 margin-left:.5in'><i>cos</i>(<span style='font-family:Symbol'>y</span>) = <!--[if gte msEquation 12]><m:oMath><i 8515 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>M</m:r></span></i><m:d><m:dPr><span 8516 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8517 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8518 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count 8519 m:val="1"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span 8520 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8521 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8522 normal'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><i 8523 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i 8524 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i 8525 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span 8526 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8527 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8528 top:15.0pt;mso-text-raise:-15.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8529 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8530 type="#_x0000_t75" style='width:33.75pt;height:50.25pt'> 8531 <v:imagedata src="gsasII_files/image019.png" o:title="" chromakey="white"/> 8532 </v:shape><![endif]--><![if !vml]><img width=45 height=67 8533 src="gsasII_files/image058.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 8534 style='mso-spacerun:yes'> </span>and<span style='mso-spacerun:yes'> </span><i>tan</i>(<span 8535 style='font-family:Symbol'>g</span>) = <!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><m:type 8536 m:val="lin"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8537 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8538 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i 8539 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>M</m:r></span></i><m:d><m:dPr><span 8540 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8541 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8542 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count 8543 m:val="1"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span 8544 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8545 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8546 normal'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><i 8547 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i 8548 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:e></m:mr><m:mr><m:e><i 8549 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:num><m:den><i 8550 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>M</m:r></span></i><m:d><m:dPr><span 8551 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8552 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8553 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count 8554 m:val="1"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span 8555 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8556 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8557 normal'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><i 8558 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:e></m:mr><m:mr><m:e><i 8559 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i 8560 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:den></m:f></m:oMath><![endif]--><![if !msEquation]><span 8561 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8562 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8563 top:15.0pt;mso-text-raise:-15.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8564 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8565 type="#_x0000_t75" style='width:80.25pt;height:50.25pt'> 8566 <v:imagedata src="gsasII_files/image021.png" o:title="" chromakey="white"/> 8567 </v:shape><![endif]--><![if !vml]><img width=107 height=67 8568 src="gsasII_files/image059.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 8569 8570 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8571 margin-left:.5in'>The harmonic terms, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8572 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8573 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8574 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8575 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8576 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8577 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><i 8578 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>ψ</m:r><m:r>,</m:r><m:r>γ</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8579 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8580 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8581 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8582 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8583 type="#_x0000_t75" style='width:45.75pt;height:26.25pt'> 8584 <v:imagedata src="gsasII_files/image023.png" o:title="" chromakey="white"/> 8585 </v:shape><![endif]--><![if !vml]><img width=61 height=35 8586 src="gsasII_files/image060.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 8587 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8588 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8589 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8590 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8591 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8592 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8593 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i 8594 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>φ</m:r><m:r>,</m:r><m:r>β</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8595 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8596 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8597 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8598 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8599 type="#_x0000_t75" style='width:43.5pt;height:26.25pt'> 8600 <v:imagedata src="gsasII_files/image025.png" o:title="" chromakey="white"/> 8601 </v:shape><![endif]--><![if !vml]><img width=58 height=35 8602 src="gsasII_files/image061.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 8603 are developed from (those for <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8604 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8605 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8606 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8607 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8608 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8609 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><i 8610 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>ψ</m:r><m:r>,</m:r><m:r>γ</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8611 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8612 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8613 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8614 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8615 type="#_x0000_t75" style='width:45.75pt;height:26.25pt'> 8616 <v:imagedata src="gsasII_files/image023.png" o:title="" chromakey="white"/> 8617 </v:shape><![endif]--><![if !vml]><img width=61 height=35 8618 src="gsasII_files/image060.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 8619 style='mso-spacerun:yes'> </span>are similar)<o:p></o:p></p> 8620 8621 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8622 margin-left:.5in'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 8623 m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span 8624 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8625 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8626 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8627 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 8628 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8629 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8630 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8631 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8632 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 8633 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r><m:r>,</m:r><m:r>β</m:r></span></i></m:e></m:d><i 8634 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:f><m:fPr><span 8635 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8636 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8637 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: 8638 normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:num><m:den><m:rad><m:radPr><m:degHide 8639 m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8640 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8641 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><i 8642 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>π</m:r></span></i></m:e></m:rad></m:den></m:f><m:sSup><m:sSupPr><span 8643 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8644 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8645 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8646 normal'><span style='font-family:"Cambria Math",serif'><m:r>e</m:r></span></i></m:e><m:sup><i 8647 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>inβ</m:r></span></i></m:sup></m:sSup><m:sSubSup><m:sSubSupPr><span 8648 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8649 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8650 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8651 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8652 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8653 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8654 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8655 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8656 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8657 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 8658 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span 8659 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8660 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8661 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8662 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8663 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8664 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r></span></i></m:e></m:func><i 8665 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 8666 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8667 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 8668 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 8669 id="_x0000_i1025" type="#_x0000_t75" style='width:158.25pt;height:42pt'> 8670 <v:imagedata src="gsasII_files/image027.png" o:title="" chromakey="white"/> 8671 </v:shape><![endif]--><![if !vml]><img width=211 height=56 8672 src="gsasII_files/image062.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 8673 8674 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8675 margin-left:.5in'>where the normalized associated Legendre functions, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8676 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8677 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8678 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8679 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8680 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8681 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8682 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8683 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8684 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i 8685 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>x</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8686 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8687 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8688 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8689 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8690 type="#_x0000_t75" style='width:30.75pt;height:26.25pt'> 8691 <v:imagedata src="gsasII_files/image029.png" o:title="" chromakey="white"/> 8692 </v:shape><![endif]--><![if !vml]><img width=41 height=35 8693 src="gsasII_files/image063.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 8694 are defined via a Fourier expansion as<o:p></o:p></p> 8695 8696 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8697 margin-left:.5in'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 8698 m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span 8699 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8700 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8701 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8702 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8703 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8704 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8705 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8706 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8707 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8708 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8709 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8710 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8711 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:func><m:funcPr><span 8712 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8713 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8714 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8715 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8716 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8717 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r></span></i></m:e></m:func></m:e></m:d><i 8718 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr 8719 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8720 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 8721 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 8722 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>s</m:r><m:r>=0</m:r></span></i></m:sub><m:sup><i 8723 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span 8724 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8725 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8726 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8727 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>a</m:r><m:r>'</m:r></span></i></m:e><m:sub><i 8728 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8729 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8730 </m:r><m:r>ns</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:func><m:funcPr><span 8731 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8732 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8733 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8734 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8735 m:val="p"/></m:rPr>sin</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8736 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>sφ</m:r><m:r>)</m:r></span></i></m:e></m:func></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 8737 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8738 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 8739 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 8740 id="_x0000_i1025" type="#_x0000_t75" style='width:149.25pt;height:52.5pt'> 8741 <v:imagedata src="gsasII_files/image031.png" o:title="" chromakey="white"/> 8742 </v:shape><![endif]--><![if !vml]><img width=199 height=70 8743 src="gsasII_files/image064.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 8744 8745 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8746 margin-left:.5in'>for n even and<o:p></o:p></p> 8747 8748 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8749 margin-left:.5in'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 8750 m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span 8751 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8752 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8753 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8754 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8755 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8756 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8757 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8758 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8759 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8760 </m:r><m:r>ns</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8761 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8762 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8763 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:func><m:funcPr><span 8764 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8765 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8766 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8767 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8768 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8769 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r></span></i></m:e></m:func></m:e></m:d><i 8770 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr 8771 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 8772 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 8773 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 8774 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>s</m:r><m:r>=1</m:r></span></i></m:sub><m:sup><i 8775 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span 8776 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8777 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8778 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 8779 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>a</m:r><m:r>'</m:r></span></i></m:e><m:sub><i 8780 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8781 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8782 </m:r><m:r>ns</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:func><m:funcPr><span 8783 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8784 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8785 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8786 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8787 m:val="p"/></m:rPr>sin</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8788 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>sφ</m:r><m:r>)</m:r></span></i></m:e></m:func></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 8789 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8790 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 8791 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 8792 id="_x0000_i1025" type="#_x0000_t75" style='width:153.75pt;height:52.5pt'> 8793 <v:imagedata src="gsasII_files/image033.png" o:title="" chromakey="white"/> 8794 </v:shape><![endif]--><![if !vml]><img width=205 height=70 8795 src="gsasII_files/image065.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 8796 8797 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8798 margin-left:.5in'>for n odd.<span style='mso-spacerun:yes'> </span>Each sum is 8799 only over either the even or odd values of s, respectively, because of the 8800 properties of the Fourier coefficients, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 8801 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8802 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8803 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 8804 normal'><span style='font-family:"Cambria Math",serif'><m:r>a</m:r><m:r>'</m:r></span></i></m:e><m:sub><i 8805 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8806 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8807 </m:r><m:r>ns</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span 8808 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8809 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8810 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8811 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8812 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'> 8813 <v:imagedata src="gsasII_files/image035.png" o:title="" chromakey="white"/> 8814 </v:shape><![endif]--><![if !vml]><img width=29 height=35 8815 src="gsasII_files/image066.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span 8816 style='mso-spacerun:yes'> </span>These Fourier coefficients are determined so 8817 that the definition <o:p></o:p></p> 8818 8819 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8820 margin-left:.5in'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 8821 m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span 8822 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8823 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8824 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8825 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8826 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8827 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8828 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8829 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8830 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8831 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8832 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8833 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8834 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:func><m:funcPr><span 8835 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8836 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8837 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8838 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8839 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8840 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r></span></i></m:e></m:func></m:e></m:d><i 8841 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:sSubSup><m:sSubSupPr><span 8842 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8843 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8844 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8845 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8846 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8847 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8848 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8849 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8850 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8851 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 8852 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8853 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8854 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 8855 normal'><span style='font-family:"Cambria Math",serif'><m:r>x</m:r></span></i></m:e></m:d><i 8856 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:rad><m:radPr><m:degHide 8857 m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8858 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8859 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><m:f><m:fPr><span 8860 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8861 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8862 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:d><m:dPr><span 8863 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8864 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8865 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 8866 normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>+</m:r><m:r>n</m:r></span></i></m:e></m:d><i 8867 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>!</m:r></span></i></m:num><m:den><m:d><m:dPr><span 8868 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8869 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8870 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 8871 normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>n</m:r></span></i></m:e></m:d><i 8872 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>!</m:r></span></i></m:den></m:f></m:e></m:rad><m:rad><m:radPr><m:degHide 8873 m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8874 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8875 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><m:f><m:fPr><span 8876 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8877 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8878 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: 8879 normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:num><m:den><i 8880 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:den></m:f></m:e></m:rad><m:f><m:fPr><span 8881 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8882 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8883 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:sSup><m:sSupPr><span 8884 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8885 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8886 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8887 normal'><span style='font-family:"Cambria Math",serif'><m:r>(-1)</m:r></span></i></m:e><m:sup><i 8888 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>n</m:r></span></i></m:sup></m:sSup></m:num><m:den><m:sSup><m:sSupPr><span 8889 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8890 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8891 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8892 normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:e><m:sup><i 8893 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup></m:sSup><i 8894 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>!</m:r></span></i></m:den></m:f><m:sSup><m:sSupPr><span 8895 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8896 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8897 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8898 normal'><span style='font-family:"Cambria Math",serif'><m:r>(1-</m:r></span></i><m:sSup><m:sSupPr><span 8899 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8900 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8901 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8902 normal'><span style='font-family:"Cambria Math",serif'><m:r>x</m:r></span></i></m:e><m:sup><i 8903 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:sup></m:sSup><i 8904 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:e><m:sup><m:f><m:fPr><m:type 8905 m:val="lin"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8906 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8907 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i 8908 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>-</m:r><m:r>n</m:r></span></i></m:num><m:den><i 8909 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:den></m:f></m:sup></m:sSup><m:f><m:fPr><span 8910 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8911 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8912 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:sSup><m:sSupPr><span 8913 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8914 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8915 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8916 normal'><span style='font-family:"Cambria Math",serif'><m:r>d</m:r></span></i></m:e><m:sup><i 8917 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>n</m:r></span></i></m:sup></m:sSup></m:num><m:den><m:sSup><m:sSupPr><span 8918 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8919 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8920 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8921 normal'><span style='font-family:"Cambria Math",serif'><m:r>dx</m:r></span></i></m:e><m:sup><i 8922 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>n</m:r></span></i></m:sup></m:sSup></m:den></m:f><m:sSup><m:sSupPr><span 8923 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8924 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8925 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8926 normal'><span style='font-family:"Cambria Math",serif'><m:r>(1-</m:r></span></i><m:sSup><m:sSupPr><span 8927 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8928 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8929 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style: 8930 normal'><span style='font-family:"Cambria Math",serif'><m:r>x</m:r></span></i></m:e><m:sup><i 8931 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:sup></m:sSup><i 8932 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:e><m:sup><i 8933 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup></m:sSup></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 8934 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8935 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 8936 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 8937 id="_x0000_i1025" type="#_x0000_t75" style='width:408.7pt;height:55.5pt'> 8938 <v:imagedata src="gsasII_files/image037.png" o:title="" chromakey="white"/> 8939 </v:shape><![endif]--><![if !vml]><img width=545 height=74 8940 src="gsasII_files/image067.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 8941 8942 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 8943 margin-left:.5in'>is satisfied.<span style='mso-spacerun:yes'> </span>Terms of 8944 the form <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span 8945 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8946 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8947 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8948 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8949 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8950 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>nβ</m:r><m:r>)</m:r></span></i></m:e></m:func><m:sSubSup><m:sSubSupPr><span 8951 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8952 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8953 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8954 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8955 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8956 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8957 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8958 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8959 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8960 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 8961 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span 8962 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8963 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8964 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8965 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8966 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8967 normal'><span style='font-family:"Cambria Math",serif'><m:r>nβ</m:r></span></i></m:e></m:func><i 8968 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 8969 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 8970 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 8971 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 8972 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 8973 type="#_x0000_t75" style='width:102pt;height:26.25pt'> 8974 <v:imagedata src="gsasII_files/image039.png" o:title="" chromakey="white"/> 8975 </v:shape><![endif]--><![if !vml]><img width=136 height=35 8976 src="gsasII_files/image068.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 8977 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span 8978 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8979 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8980 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8981 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8982 m:val="p"/></m:rPr>sin</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 8983 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>nβ</m:r><m:r>)</m:r></span></i></m:e></m:func><m:sSubSup><m:sSubSupPr><span 8984 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8985 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8986 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 8987 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 8988 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 8989 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 8990 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 8991 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 8992 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 8993 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 8994 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span 8995 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 8996 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 8997 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 8998 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 8999 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 9000 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r></span></i></m:e></m:func><i 9001 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 9002 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9003 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9004 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9005 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9006 type="#_x0000_t75" style='width:94.5pt;height:26.25pt'> 9007 <v:imagedata src="gsasII_files/image041.png" o:title="" chromakey="white"/> 9008 </v:shape><![endif]--><![if !vml]><img width=126 height=35 9009 src="gsasII_files/image069.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 9010 style='mso-spacerun:yes'> </span>are combined depending on the symmetry and the 9011 value of n (or m) along with appropriate normalization coefficients to give the 9012 harmonic terms <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 9013 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9014 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9015 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9016 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 9017 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9018 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 9019 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 9020 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>φ</m:r><m:r>,</m:r><m:r>β</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 9021 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9022 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9023 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9024 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9025 type="#_x0000_t75" style='width:45.75pt;height:26.25pt'> 9026 <v:imagedata src="gsasII_files/image043.png" o:title="" chromakey="white"/> 9027 </v:shape><![endif]--><![if !vml]><img width=61 height=35 9028 src="gsasII_files/image070.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 9029 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 9030 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9031 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9032 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9033 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 9034 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9035 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 9036 </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 9037 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>ψ</m:r><m:r>,</m:r><m:r>γ</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 9038 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9039 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9040 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9041 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9042 type="#_x0000_t75" style='width:47.25pt;height:26.25pt'> 9043 <v:imagedata src="gsasII_files/image045.png" o:title="" chromakey="white"/> 9044 </v:shape><![endif]--><![if !vml]><img width=63 height=35 9045 src="gsasII_files/image071.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span 9046 style='mso-spacerun:yes'> </span>For cubic crystal symmetry, the term <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 9047 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9048 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9049 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9050 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 9051 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9052 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 9053 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 9054 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>φ</m:r><m:r>,</m:r><m:r>β</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span 9055 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9056 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9057 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9058 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9059 type="#_x0000_t75" style='width:45.75pt;height:26.25pt'> 9060 <v:imagedata src="gsasII_files/image043.png" o:title="" chromakey="white"/> 9061 </v:shape><![endif]--><![if !vml]><img width=61 height=35 9062 src="gsasII_files/image070.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 9063 style='mso-spacerun:yes'> </span>is obtained directly from the Fourier 9064 expansion<o:p></o:p></p> 9065 9066 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9067 margin-left:.5in'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 9068 m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span 9069 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9070 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9071 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9072 normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i 9073 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9074 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span 9075 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9076 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9077 normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style: 9078 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r><m:r>,</m:r><m:r>β</m:r></span></i></m:e></m:d><i 9079 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr 9080 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 9081 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 9082 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 9083 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>j</m:r><m:r>=0</m:r></span></i></m:sub><m:sup><i 9084 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span 9085 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9086 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9087 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 9088 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>B</m:r></span></i></m:e><m:sub><i 9089 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9090 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>nj</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:sSubSup><m:sSubSupPr><span 9091 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9092 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9093 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr 9094 m:val="̅"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family: 9095 "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic; 9096 mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i 9097 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i 9098 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9099 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r> 9100 </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style: 9101 normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span 9102 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9103 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9104 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 9105 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 9106 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 9107 normal'><span style='font-family:"Cambria Math",serif'><m:r>φ</m:r></span></i></m:e></m:func><i 9108 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i><m:func><m:funcPr><span 9109 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9110 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9111 normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span 9112 style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty 9113 m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style: 9114 normal'><span style='font-family:"Cambria Math",serif'><m:r>nβ</m:r></span></i></m:e></m:func></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 9115 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9116 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 9117 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 9118 id="_x0000_i1025" type="#_x0000_t75" style='width:186pt;height:54pt'> 9119 <v:imagedata src="gsasII_files/image047.png" o:title="" chromakey="white"/> 9120 </v:shape><![endif]--><![if !vml]><img width=248 height=72 9121 src="gsasII_files/image072.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 9122 9123 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9124 margin-left:.5in'>using the coefficients, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 9125 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9126 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9127 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9128 normal'><span style='font-family:"Cambria Math",serif'><m:r>B</m:r></span></i></m:e><m:sub><i 9129 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9130 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>nj</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span 9131 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9132 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9133 top:4.0pt;mso-text-raise:-4.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9134 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9135 type="#_x0000_t75" style='width:18.75pt;height:29.25pt'> 9136 <v:imagedata src="gsasII_files/image049.png" o:title="" chromakey="white"/> 9137 </v:shape><![endif]--><![if !vml]><img width=25 height=39 9138 src="gsasII_files/image073.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 9139 as tabulated by Bunge (1982). <o:p></o:p></p> 9140 9141 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9142 margin-left:.5in'>The Rietveld refinement of texture then proceeds by 9143 constructing derivatives of the profile intensities with respect to the allowed 9144 harmonic coefficients, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 9145 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9146 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9147 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9148 normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i 9149 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9150 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span 9151 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9152 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9153 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9154 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9155 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'> 9156 <v:imagedata src="gsasII_files/image051.png" o:title="" chromakey="white"/> 9157 </v:shape><![endif]--><![if !vml]><img width=29 height=35 9158 src="gsasII_files/image074.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]>, 9159 and the three sample orientation angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, 9160 <span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family: 9161 Symbol'>F</span><sub>s</sub>, all of which can be adjustable parameters of the 9162 refinement. Once the refinement is complete, pole figures for any reflection 9163 may be constructed by use of the general axis equation, the refined values for <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 9164 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9165 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9166 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style: 9167 normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i 9168 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9169 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span 9170 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9171 "Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative; 9172 top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language: 9173 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 9174 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'> 9175 <v:imagedata src="gsasII_files/image051.png" o:title="" chromakey="white"/> 9176 </v:shape><![endif]--><![if !vml]><img width=29 height=35 9177 src="gsasII_files/image074.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 9178 style='mso-spacerun:yes'> </span>and the sample orientation angles <span 9179 style='font-family:Symbol'>W</span><sub>s</sub>, <span style='font-family:Symbol'>C</span><sub>s</sub>, 9180 <span style='font-family:Symbol'>F</span><sub>s</sub>. <o:p></o:p></p> 9181 9182 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9183 margin-left:.5in;line-height:115%'>The magnitude of the texture is evaluated 9184 from the texture index by<o:p></o:p></p> 9185 9186 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9187 margin-left:.5in;line-height:115%'><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc 9188 m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span 9189 style='font-family:"Cambria Math",serif'><m:r>J</m:r><m:r>=1+</m:r></span></i><m:nary><m:naryPr><m:chr 9190 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 9191 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 9192 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 9193 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>=2</m:r></span></i></m:sub><m:sup><m:sSub><m:sSubPr><span 9194 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9195 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9196 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style: 9197 normal'><span style='font-family:"Cambria Math",serif'><m:r>N</m:r></span></i></m:e><m:sub><i 9198 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub></m:sSub></m:sup><m:e><m:f><m:fPr><span 9199 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9200 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9201 normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style: 9202 normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:num><m:den><i 9203 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:den></m:f></m:e></m:nary><m:nary><m:naryPr><m:chr 9204 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 9205 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 9206 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 9207 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i 9208 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:nary><m:naryPr><m:chr 9209 m:val="∑"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif; 9210 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 9211 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i 9212 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i 9213 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSup><m:sSupPr><span 9214 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9215 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9216 normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><m:d><m:dPr><m:begChr 9217 m:val="|"/><m:endChr m:val="|"/><span style='font-family:"Cambria Math",serif; 9218 mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math"; 9219 font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:sSubSup><m:sSubSupPr><span 9220 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 9221 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: 9222 normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i 9223 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i 9224 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i 9225 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:e></m:d></m:e><m:sup><i 9226 style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:sup></m:sSup></m:e></m:nary></m:e></m:nary></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span 9227 style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family: 9228 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 9229 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 9230 id="_x0000_i1025" type="#_x0000_t75" style='width:180.75pt;height:54pt'> 9231 <v:imagedata src="gsasII_files/image053.png" o:title="" chromakey="white"/> 9232 </v:shape><![endif]--><![if !vml]><img width=241 height=72 9233 src="gsasII_files/image075.png" v:shapes="_x0000_i1025"><![endif]></span><![endif]><o:p></o:p></p> 9234 9235 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9236 margin-left:.5in;line-height:115%'>If the texture is random then J = 1, 9237 otherwise J > 1; for a single crystal J = <span style='font-family:Symbol'>¥.</span> 9238 <o:p></o:p></p> 9239 9240 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; 9241 margin-left:.5in'>In GSAS-II the texture is defined in two ways to accommodate 9242 the two possible uses of this correction. In one, a suite of spherical 9243 harmonics coefficients is defined for the texture of a phase in the sample; 9244 this can have any of the possible sample symmetries and is the usual result 9245 desired for texture analysis. The other is the suite of spherical harmonics 9246 terms for cylindrical sample symmetry for each phase in each powder pattern 9247 (“histogram”) and is usually used to accommodate preferred orientation effects 9248 in a Rietveld refinement. The former description allows refinement of the 9249 sample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>, 9250 <span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family: 9251 Symbol'>F</span><sub>s</sub>, but the latter description does not (they are 9252 assumed to be zero and not refinable). The sample orientation angles, (<span 9253 style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, 9254 <span style='font-family:Symbol'>F) </span>are specified in the Sample 9255 Parameters table in the GSAS-II data tree structure and are applied for either 9256 description.<o:p></o:p></p> 9257 9258 <p class=MsoNormal style='margin-left:.5in'>Some useful examples:<o:p></o:p></p> 9259 9260 <p class=MsoNormal style='margin-left:.5in'>1) Bragg-Brentano laboratory powder 9261 diffractometer<o:p></o:p></p> 9262 9263 <p class=MsoNormal style='margin-left:.5in'>The conventional arrangement of 9264 this experiment is to have a flat sample with incident and diffracted beams at 9265 equal angles (theta) on opposite sides of the sample. The sample is frequently 9266 spun about its normal to improve powder statistics and impose cylindrical 9267 symmetry on any preferred orientation (texture). Thus, the diffraction plane 9268 (source, diffraction vector & detector) contains the K-vector which is 9269 parallel to the diffraction vector and <a name="_Hlk74813217"><span 9270 style='font-family:Symbol'>W</span>, </a><span style='mso-bookmark:_Hlk74813217'><span 9271 style='font-family:Symbol'>C</span>, </span><span style='mso-bookmark:_Hlk74813217'><span 9272 style='font-family:Symbol'>F = 0.</span></span><span style='font-family:Symbol'><o:p></o:p></span></p> 9273 9274 <p class=MsoNormal style='margin-left:.5in'><span style='font-family:Symbol'>2) 9275 </span>Debye-Scherrer diffractometer with point detector(s)<o:p></o:p></p> 9276 9277 <p class=MsoNormal style='margin-left:.5in'>The usual arrangement here is to 9278 have a capillary sample perpendicular to the diffraction plane. The capillary 9279 may be spun about its cylinder axis for powder averaging and to impose 9280 cylindrical symmetry on the texture which is perpendicular to the diffraction 9281 plane. Thus, <span style='font-family:Symbol'>W</span>, <span style='font-family: 9282 Symbol'>F = 0</span> and <span style='font-family:Symbol'>C =90.</span><o:p></o:p></p> 9283 9284 <p class=MsoNormal style='margin-left:.5in'>3) Debye-Scherrer diffractometer 9285 with 2D area detector<o:p></o:p></p> 9286 9287 <p class=MsoNormal style='margin-left:.5in'>The area detector is presumed to be 9288 directly behind the sample with the incident beam somewhere near the center of 9289 the detector. The detector axes are defined (for a synchrotron) with the X-axis 9290 toward the synchrotron ring and the Y-axis vertical “up”; one views the 9291 detector image as if looking from the x-ray source. The sample is assumed to be 9292 a capillary (which may be spun to impose cylindrical symmetry), although other 9293 sample shapes may be used, and is aligned with the cylinder axis horizontal. 9294 Integration of the image from a series of “caked” slices gives a set of powder 9295 patterns, each assigned an azimuthal angle where zero is along the X-axis. Thus, 9296 at azimuth=0 the diffraction plane is horizontal and contains the cylinder axis 9297 so <span style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, 9298 <span style='font-family:Symbol'>F = 0.</span></p> 9299 9300 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9301 style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<o:p></o:p></span></h5> 9302 9303 <p class=MsoNormal style='margin-left:.25in;text-indent:.5in'><span 9304 style='mso-fareast-font-family:"Times New Roman"'>1. Menu ‘<b>Texture/Refine 9305 texture’ </b>– refines the spherical harmonics texture model using the 9306 predetermined values of Prfo for all histogram reflection sets as demonstrated 9307 in <a 9308 href="https://subversion.xray.aps.anl.gov/trac/pyGSAS/browser/Tutorials/2DTexture">2DTexture</a> 9309 tutorial.<o:p></o:p></span></p> 9310 9311 <p class=MsoNormal style='margin-left:.25in;text-indent:.5in'><span 9312 style='mso-fareast-font-family:"Times New Roman"'><o:p> </o:p></span></p> 9313 9314 <p class=MsoNormal style='margin-left:.25in;text-indent:.5in'><span 9315 style='mso-fareast-font-family:"Times New Roman"'>2. Texture settings:<o:p></o:p></span></p> 9316 9317 <p class=MsoNormal style='margin-left:.25in;text-indent:.5in'><span 9318 class=MsoHyperlink><span style='mso-fareast-font-family:"Times New Roman"; 9319 color:#4F4FFF;text-decoration:none;text-underline:none'><o:p> </o:p></span></span></p> 9320 9321 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 9322 texture index, J is shown on the 1<sup>st</sup> line. The Texture model can be chosen 9323 from [‘cylindrical’, ’none’, ‘shear - 2/m’, or ‘rolling – mmm’].</p> 9324 9325 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><o:p> </o:p></p> 9326 9327 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 9328 Harmonic order (even integer 0-34), refine flag & show coefficients flag 9329 are next.</p> 9330 9331 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><o:p> </o:p></p> 9332 9333 <p class=MsoNormal style='margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 9334 Texture plot type is one of:</p> 9335 9336 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9337 margin-left:1.25in;text-indent:-.25in;mso-list:l3 level1 lfo43;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9338 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 9339 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 9340 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 9341 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>as 9342 an "Axial pole distribution" which simulates the intensity of a 9343 reflection during a phi scan.<o:p></o:p></span></p> 9344 9345 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9346 margin-left:1.25in;text-indent:-.25in;mso-list:l3 level1 lfo43;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9347 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 9348 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 9349 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 9350 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>as 9351 a "pole figure," where a projection of the probability of finding a pole 9352 (hkl) is plotted as a function of sample orientation.<o:p></o:p></span></p> 9353 9354 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9355 margin-left:1.25in;text-indent:-.25in;mso-list:l3 level1 lfo43;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9356 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 9357 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 9358 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 9359 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>as 9360 a "inverse pole figure," where a projection of the probability of 9361 finding all poles (hkls) is plotted for a selected sample orientation.<o:p></o:p></span></p> 9362 9363 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9364 margin-left:1.25in;text-indent:-.25in;mso-list:l3 level1 lfo43;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9365 style='font-size:10.0pt;mso-bidi-font-size:12.0pt;font-family:Symbol; 9366 mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span 9367 style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'> 9368 </span></span></span><![endif]><span style='mso-fareast-font-family:"Times New Roman"'>or 9369 as a "3D pole distribution" that shows the probability of finding a pole 9370 (hkl) is plotted as a function of sample orientation. <o:p></o:p></span></p> 9371 9372 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9373 margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9374 style='mso-fareast-font-family:"Times New Roman"'>For Axial distribution, pole 9375 figure and 3D pole distribution one must next select the hkl of the desired 9376 pole, for Inverse pole figure one must select a sample direction (typically 0 0 9377 1).<o:p></o:p></span></p> 9378 9379 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9380 margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9381 style='mso-fareast-font-family:"Times New Roman"'>One can choose the contour 9382 (pole & inverse pole figures) color scheme (default “Paired”) and make a 9383 CSV file of the image for import into other software.<o:p></o:p></span></p> 9384 9385 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9386 margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9387 style='mso-fareast-font-family:"Times New Roman"'>The spherical harmonics coefficients 9388 are shown next; they may be edited. They may be cleared by setting harmonic 9389 order to zero and then back to desired value.<o:p></o:p></span></p> 9390 9391 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9392 margin-left:1.0in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9393 style='mso-fareast-font-family:"Times New Roman"'>Lastly, the sample 9394 orientation angle zeros (</span><span style='font-family:Symbol'>W</span><sub>s</sub>, 9395 <span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family: 9396 Symbol'>F</span><sub>s</sub><span style='mso-fareast-font-family:"Times New Roman"'>) 9397 are shown with their individual refinement flags.<o:p></o:p></span></p> 9398 9399 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9400 name="Map_peaks">Map peaks</a></h4> 9401 9402 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>This 9403 gives the list (magnitude, x y & z) of all peaks found within the unit cell 9404 from the last Fourier/charge flip map search sorted in order of decreasing peak 9405 magnitude. The crystal structure plot shows each peak position as a white to 9406 dark gray cross; the shade is determined from the magnitude for the peak 9407 relative to the maximum peak magnitude. Negative peaks shown in orange.</p> 9408 9409 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What 9410 can I do here?</h5> 9411 9412 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 9413 text-indent:-.25in;mso-list:l30 level1 lfo45;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9414 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 9415 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 9416 style='mso-bidi-font-weight:normal'>Peak Selection from table</b>: select 9417 individual atoms by a left click of the mouse when pointed at the left most 9418 column (atom numbers) of the atom display; hold down the Ctrl key to add to 9419 your selection; a previously selected atom will be deselected; hold down Shift 9420 key to select from last in list selected to current selection. A selected atom 9421 will be highlighted (in grey) and the atoms will be shown in green on the plot. 9422 Selection without the Ctrl key will clear previous selections. A left click in 9423 the (empty) upper left box will select or deselect all atoms.</p> 9424 9425 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 9426 auto;text-indent:-.25in;mso-list:l30 level1 lfo45;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9427 name=Pawley><![if !supportLists]><span style='mso-fareast-font-family:"Times New Roman"'><span 9428 style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'> 9429 </span></span></span><![endif]>Select the <b style='mso-bidi-font-weight:normal'>mag</b> 9430 column – the entries will be sorted with the largest at the top.</a></p> 9431 9432 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 9433 auto;text-indent:-.25in;mso-list:l30 level1 lfo45;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9434 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9435 "Times New Roman"'><span style='mso-list:Ignore'>3.<span style='font:7.0pt "Times New Roman"'> 9436 </span></span></span><![endif]>Select the <b style='mso-bidi-font-weight:normal'>dzero</b> 9437 column – the entries will be sorted with the smallest (distance from origin) at 9438 the top.</span></p> 9439 9440 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 9441 auto;text-indent:-.25in;mso-list:l30 level1 lfo45;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9442 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9443 "Times New Roman"'><span style='mso-list:Ignore'>4.<span style='font:7.0pt "Times New Roman"'> 9444 </span></span></span><![endif]>Select the <b>dcent</b> column – the entries 9445 will be sorted with the smallest distance from the unit cell center at the top.</span></p> 9446 9447 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 9448 auto;text-indent:-.25in;mso-list:l30 level1 lfo45;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9449 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9450 "Times New Roman"'><span style='mso-list:Ignore'>5.<span style='font:7.0pt "Times New Roman"'> 9451 </span></span></span><![endif]>Menu <b style='mso-bidi-font-weight:normal'>‘Map 9452 peaks’ </b><span style='mso-spacerun:yes'> </span>–</span></p> 9453 9454 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9455 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9456 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9457 "Times New Roman"'><span style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 9458 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Move 9459 peaks</b> – this copies selected peaks to the </span><a href="gsasII.html"><span 9460 style='mso-bookmark:Pawley'><span style='color:windowtext;text-decoration:none; 9461 text-underline:none'>Atoms</span></span></a><span style='mso-bookmark:Pawley'> 9462 list and the </span><a href="gsasII.html"><span style='mso-bookmark:Pawley'><span 9463 style='color:windowtext;text-decoration:none;text-underline:none'>Draw Atoms</span></span></a><span 9464 style='mso-bookmark:Pawley'> list. They will be appended to the end of each 9465 list each with the name ‘UNK’ and the atom type as ‘H’. They will also be drawn 9466 as small white spheres at their respective positions in the structure drawing. 9467 You should next go to the </span><a href="gsasII.html"><span style='mso-bookmark: 9468 Pawley'><span style='color:windowtext;text-decoration:none;text-underline:none'>Atoms</span></span></a><span 9469 style='mso-bookmark:Pawley'> page and change the atom type to whatever element 9470 you desire; it will be renamed automatically.</span></p> 9471 9472 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9473 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9474 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9475 "Times New Roman"'><span style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 9476 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>View 9477 point </b>– this positions the view point (large 3D RGB cross) at the 1<sup>st</sup> 9478 selected peak.</span></p> 9479 9480 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9481 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9482 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9483 "Times New Roman"'><span style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 9484 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>View pt</b>. 9485 <b style='mso-bidi-font-weight:normal'>dist</b>. – this calculates distance 9486 from view point to all selected map peaks.</span></p> 9487 9488 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9489 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9490 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9491 "Times New Roman"'><span style='mso-list:Ignore'>d.<span style='font:7.0pt "Times New Roman"'> 9492 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Hide/Show 9493 bonds </b>– toggle display of lines (bonds) between peaks</span></p> 9494 9495 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9496 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9497 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9498 "Times New Roman"'><span style='mso-list:Ignore'>e.<span style='font:7.0pt "Times New Roman"'> 9499 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Calc 9500 dist/ang </b>– if 2 peaks are selected, this calculates the distance between 9501 them. If 3 peaks are selected this calculates the angle between them; NB: 9502 selection order matters. If selection is not 2 or 3 peaks this is ignored. 9503 Output is on the console window.</span></p> 9504 9505 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9506 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9507 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9508 "Times New Roman"'><span style='mso-list:Ignore'>f.<span style='font:7.0pt "Times New Roman"'> 9509 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Equivalent 9510 peaks </b>– this selects all peaks related to selection by space group 9511 symmetry.</span></p> 9512 9513 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9514 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9515 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9516 "Times New Roman"'><span style='mso-list:Ignore'>g.<span style='font:7.0pt "Times New Roman"'> 9517 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Invert 9518 peak positions </b>– inversion through cell center of map and all positions.</span></p> 9519 9520 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9521 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9522 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9523 "Times New Roman"'><span style='mso-list:Ignore'>h.<span style='font:7.0pt "Times New Roman"'> 9524 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Roll 9525 charge flip map </b>– popup allows shifting of the map & all peak positions 9526 by unit cell fractions; can be along combinations of axes.</span></p> 9527 9528 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9529 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9530 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9531 "Times New Roman"'><span style='mso-list:Ignore'>i.<span style='font:7.0pt "Times New Roman"'> 9532 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Unique 9533 peaks </b>– this selects only the unique peak positions amongst those selected; 9534 a popup allows selection of atom subset closest to x=0, y=0, z=0 origin or 9535 center.</span></p> 9536 9537 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9538 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9539 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9540 "Times New Roman"'><span style='mso-list:Ignore'>j.<span style='font:7.0pt "Times New Roman"'> 9541 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Save 9542 peaks </b>– saves the peak list as a csv file.</span></p> 9543 9544 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9545 auto;text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9546 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9547 "Times New Roman"'><span style='mso-list:Ignore'>k.<span style='font:7.0pt "Times New Roman"'> 9548 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Delete 9549 peaks </b>– this deletes selected peaks. The shading on the remaining peaks is 9550 changed to reflect any change in the maximum after deletion.</span></p> 9551 9552 <p class=MsoListParagraphCxSpLast style='margin-left:1.5in;mso-add-space:auto; 9553 text-indent:-.25in;mso-list:l30 level2 lfo45;tab-stops:list 1.0in'><span 9554 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9555 "Times New Roman"'><span style='mso-list:Ignore'>l.<span style='font:7.0pt "Times New Roman"'> 9556 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Clear 9557 peaks </b>– this deletes all the peaks in the map peak list; they are also 9558 removed from the crystal structure drawing plot.</span></p> 9559 9560 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9561 style='mso-bookmark:Pawley'>Pawley reflections<span class=MsoHyperlink><span 9562 style='color:#5B9BD5;mso-themecolor:accent1'><o:p></o:p></span></span></span></h4> 9563 9564 <p class=MsoNormal style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9565 style='mso-bookmark:Pawley'>This gives the list of reflections used in a Pawley 9566 refinement and can only be seen if the phase type is ‘Pawley’ (see </span><a 9567 href="#General"><span style='mso-bookmark:Pawley'><span style='color:windowtext; 9568 text-decoration:none;text-underline:none'>General</span></span></a><span 9569 style='mso-bookmark:Pawley'>).</span></p> 9570 9571 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9572 style='mso-bookmark:Pawley'>What can I do here?</span></h5> 9573 9574 <p class=MsoListParagraphCxSpFirst style='margin-left:1.0in;mso-add-space:auto; 9575 text-indent:-.25in;mso-list:l10 level1 lfo47;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9576 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9577 "Times New Roman"'><span style='mso-list:Ignore'>1.<span style='font:7.0pt "Times New Roman"'> 9578 </span></span></span><![endif]>Menu <b style='mso-bidi-font-weight:normal'>‘Operations’</b> 9579 –</span></p> 9580 9581 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9582 auto;text-indent:-.25in;mso-list:l14 level2 lfo49;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9583 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9584 "Times New Roman"'><span style='mso-list:Ignore'>a.<span style='font:7.0pt "Times New Roman"'> 9585 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Pawley 9586 create</b> – this creates a new set of Pawley reflections, over writing any 9587 preexisting Pawley set. They are generated with d-spacings larger than the 9588 limit set as ‘Pawley dmin’ in the General tab for this phase. By default the 9589 refine flags are not set and the Fsq(hkl) = 100.0.</span></p> 9590 9591 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9592 auto;text-indent:-.25in;mso-list:l14 level2 lfo49;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9593 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9594 "Times New Roman"'><span style='mso-list:Ignore'>b.<span style='font:7.0pt "Times New Roman"'> 9595 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Pawley 9596 estimate</b> – this attempts an estimate of Fsq(hkl) from the peak heights of 9597 the reflection as seen in the 1<sup>st</sup> powder pattern of those selected 9598 in the </span><a href="#Data"><span style='mso-bookmark:Pawley'><span 9599 style='color:windowtext;text-decoration:none;text-underline:none'>Data</span></span></a><span 9600 style='mso-bookmark:Pawley'> tab.</span></p> 9601 9602 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.5in;mso-add-space: 9603 auto;text-indent:-.25in;mso-list:l14 level2 lfo49;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9604 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9605 "Times New Roman"'><span style='mso-list:Ignore'>c.<span style='font:7.0pt "Times New Roman"'> 9606 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>Pawley 9607 delete </b>– this clears the set of Pawley reflections.</span></p> 9608 9609 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 9610 auto;text-indent:-.25in;mso-list:l10 level1 lfo47;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9611 style='mso-bookmark:Pawley'><![if !supportLists]><span style='mso-fareast-font-family: 9612 "Times New Roman"'><span style='mso-list:Ignore'>2.<span style='font:7.0pt "Times New Roman"'> 9613 </span></span></span><![endif]>You can change the refine flags either by 9614 clicking on the box or by selecting one and then selecting the column (a single 9615 click on the column heading). Then type ‘y’ to set the refine flags or ‘n’ to 9616 clear the flags. You should deselect those reflections that fall below the 9617 lower limit or above the upper limit of the powder pattern otherwise you may 9618 have a singular matrix error in your Pawley refinement.</span></p> 9619 9620 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; 9621 text-indent:-.25in;mso-list:l10 level1 lfo47;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9622 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 9623 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>You 9624 can change the individual Fsq(hkl) values by selecting it, typing in the new 9625 value and then pressing enter or selecting somewhere else in the table.</p> 9626 9627 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9628 name=Layers>Layers</a></h4> 9629 9630 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What 9631 can I do here?</h5> 9632 9633 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9634 name="Wave_Data"></a>Wave Data</h4> 9635 9636 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What 9637 can I do here?</h5> 9638 9639 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9640 name="MC/SA">MC/SA</a></h4> 9641 9642 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What 9643 can I do here?</h5> 9644 9645 <h4 style='margin-left:.25in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9646 name="Pawley_reflections"></a>Pawley reflections</h4> 9647 9648 <h5 style='margin-left:.5in;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>What 9649 can I do here?</h5> 5150 style='mso-fareast-font-family:"Times New Roman"'>[<a href="gsasII-phase.html">see separate page</a>]<o:p></o:p></span></p> 9650 5151 9651 5152 <div class=MsoNormal align=center style='text-align:center;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9652 style='mso-fareast-font-family:"Times New Roman" '>9653 9654 <hr size= 2width="100%" align=center>5153 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 5154 5155 <hr size=3 width="100%" align=center> 9655 5156 9656 5157 </span></div> 9657 5158 9658 5159 <div class=MsoNormal align=center style='text-align:center;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9659 style='mso-fareast-font-family:"Times New Roman" '>9660 9661 <hr size= 2width="100%" align=center>5160 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 5161 5162 <hr size=3 width="100%" align=center> 9662 5163 9663 5164 </span></div> … … 9668 5169 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9669 5170 style='mso-fareast-font-family:"Times New Roman"'>GSAS-II can be run on 9670 Windows, Linux and Macintosh/OS X computers, but the GUI follows the native style 9671 of Mac OS X. On Windows and some versions of Linux, the menu bars appears on 9672 top of the main window. On the Mac, the menu appears at the location that has 9673 been configured for menus (usually at the top of the screen). GSAS-II defines 9674 actions for both the left and right buttons on a two-button mouse, If a two or 9675 three-button mouse is used with a Mac, these mouse buttons will work as 9676 intended. If using a Mac touchpad or single-button mouse, clicking the touchpad 9677 or mouse button will generate a "left button" click. Hold down the 9678 control-key to generate a "right button" click. <o:p></o:p></span></p> 5171 Windows, Linux and Macintosh/OS X computers, but the GUI follows the native 5172 style of Mac OS X. On Windows and some versions of Linux, the menu bars <span 5173 class=GramE>appears</span> on top of the main window. On the Mac, the menu 5174 appears at the location that has been configured for menus (usually at the top 5175 of the screen). GSAS-II defines actions for both the left and right buttons on 5176 a two-button mouse, <span class=GramE>If</span> a two or three-button mouse is 5177 used with a Mac, these mouse buttons will work as intended. If using a Mac 5178 touchpad or single-button mouse, clicking the touchpad or mouse button will 5179 generate a "left button" click. Hold down the control-key to generate 5180 a "right button" click. <o:p></o:p></span></p> 9679 5181 9680 5182 <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a … … 9682 5184 9683 5185 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9684 style='mso-fareast-font-family:"Times New Roman"'>GSAS-II provides a number of9685 c onfiguration settings that can be changed via variables that can be set and9686 saved. These are controlled in the File/Preferences menu item (on Macthe9687 Preferences menu is found in the usual place on Macs, in the main application 9688 menu). These settings are optionally saved from for subsequent runs in a file 9689 named </span><tt><span style='font-size:10.0pt'>config.py</span></tt><span9690 style=' mso-fareast-font-family:"Times New Roman"'>. More information about this9691 can be found in the <a5186 style='mso-fareast-font-family:"Times New Roman"'>GSAS-II provides <span 5187 class=GramE>a number of</span> configuration settings that can be changed via 5188 variables that can be set and saved. These are controlled in the 5189 File/Preferences menu item (on Mac the Preferences menu is found in the usual 5190 place on Macs, in the main application menu). These settings are optionally 5191 saved from for subsequent runs in a file named </span><tt><span 5192 style='font-size:10.0pt'>config.py</span></tt><span style='mso-fareast-font-family: 5193 "Times New Roman"'>. More information about this can be found in the <a 9692 5194 href="https://gsas-ii.readthedocs.io/en/latest/GSASIIutil.html#module-config_example">appropriate 9693 5195 section of the Programmer's documentation</a>. <o:p></o:p></span></p> 9694 5196 9695 5197 <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9696 name=Programmers><strong>Programmers documentation</strong></a></h3> 5198 name=Programmers></a><span class=GramE><span style='mso-bookmark:Programmers'><strong>Programmers</strong></span></span><span 5199 style='mso-bookmark:Programmers'><strong> documentation</strong></span></h3> 9697 5200 9698 5201 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span … … 9705 5208 9706 5209 <h3 style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><a 9707 name=fullrmc><strong>Access to fullrmc</strong></a></h3> 5210 name=fullrmc><strong>Access to </strong></a><span class=SpellE><span 5211 style='mso-bookmark:fullrmc'><strong>fullrmc</strong></span></span><span 5212 style='mso-bookmark:fullrmc'></span></h3> 9708 5213 9709 5214 <span style='mso-bookmark:fullrmc'></span> 9710 5215 9711 5216 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'>The 9712 fullrmc program is a large-box pair distribution function modeling library 9713 developed by Bachir Aoun ["Fullrmc, a Rigid Body Reverse Monte Carlo 5217 <span class=SpellE>fullrmc</span> program is a large-box pair distribution 5218 function modeling library developed by <span class=SpellE>Bachir</span> Aoun 5219 ["<span class=SpellE>Fullrmc</span>, a Rigid Body Reverse Monte Carlo 9714 5220 Modeling Package Enabled with Machine Learning and Artificial 9715 5221 Intelligence", B. Aoun, <i>Jour. Comp. Chem.</i> <b>(2016)</b>, 37, 9716 5222 1102-1111. DOI: <a href="https://doi.org/10.1002/jcc.24304">10.1002/jcc.24304</a>]. 9717 Extensive information about fullrmc is found, including a number of explanatory 9718 videos, along with the source code on GitHub: <a 9719 href="https://bachiraoun.github.io/fullrmc/">https://bachiraoun.github.io/fullrmc/</a>. 9720 Use of fullrmc requires a set of Python packages that can be installed along with 9721 the packages needed for GSAS-II, but Windows and MacOS users will likely find 9722 it easier to install a pre-compiled version of fullrmc by downloading it <a 5223 Extensive information about <span class=SpellE>fullrmc</span> is found, 5224 including <span class=GramE>a number of</span> explanatory videos, along with 5225 the source code on GitHub: <a href="https://bachiraoun.github.io/fullrmc/">https://bachiraoun.github.io/fullrmc/</a>. 5226 Use of <span class=SpellE>fullrmc</span> requires a set of Python packages that 5227 can be installed along with the packages needed for GSAS-II, but Windows and 5228 MacOS users will likely find it easier to install a pre-compiled version of <span 5229 class=SpellE>fullrmc</span> by downloading it <a 9723 5230 href="https://drive.google.com/drive/folders/10hxmQviKoMaW9R4MxsaiDyPSretxr_P7">from 9724 here</a>. To locate a version of Python containing fullrmc, the following9725 locations are checked (in the order specified): </p>5231 here</a>. To locate a version of Python containing <span class=SpellE>fullrmc</span>, 5232 the following locations are checked (in the order specified): </p> 9726 5233 9727 5234 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9728 margin-left:.5in;text-indent:-.25in;mso-list:l19 level1 lfo 50;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span5235 margin-left:.5in;text-indent:-.25in;mso-list:l19 level1 lfo31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9729 5236 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span 9730 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 9731 style='mso-fareast-font-family:"Times New Roman"'>The GSAS-II <a 9732 href="#Preferences">configuration variable</a> </span><tt><span 9733 style='font-size:10.0pt'>fullrmc_exec</span></tt><span style='mso-fareast-font-family: 9734 "Times New Roman"'> can point to a Python image. <o:p></o:p></span></p> 5237 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5238 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>The 5239 GSAS-II <a href="#Preferences">configuration variable</a> </span><span 5240 class=SpellE><tt><span style='font-size:10.0pt'>fullrmc_exec</span></tt></span><span 5241 style='mso-fareast-font-family:"Times New Roman"'> can point to a Python image. 5242 <o:p></o:p></span></p> 9735 5243 9736 5244 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9737 margin-left:.5in;text-indent:-.25in;mso-list:l19 level1 lfo 50;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span5245 margin-left:.5in;text-indent:-.25in;mso-list:l19 level1 lfo31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9738 5246 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span 9739 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 9740 style='mso-fareast-font-family:"Times New Roman"'>The Python interpreter 9741 running GSAS-II is checked if fullrmc can be imported <o:p></o:p></span></p> 5247 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5248 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>The 5249 Python interpreter running GSAS-II is checked if <span class=SpellE>fullrmc</span> 5250 can be imported <o:p></o:p></span></p> 9742 5251 9743 5252 <p class=MsoNormal style='mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; 9744 margin-left:.5in;text-indent:-.25in;mso-list:l19 level1 lfo 50;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span5253 margin-left:.5in;text-indent:-.25in;mso-list:l19 level1 lfo31;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><![if !supportLists]><span 9745 5254 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 9746 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span9747 style='mso-fareast-font-family:"Times New Roman"'>The location where GSAS-II is 9748 installed, the location where Python is installed, the location where the 9749 GSAS-II binaries are found, the current default location and all directories in9750 the system path are all checked for a file named </span><tt><span9751 style='font-size:10.0pt'>" fullrmc*macOS*i386-64bit"</span></tt><span5255 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 5256 dir=LTR></span><span style='mso-fareast-font-family:"Times New Roman"'>The 5257 location where GSAS-II is installed, the location where Python is installed, 5258 the location where the GSAS-II binaries are found, the current default location 5259 and all directories in the system path are all checked for a file named </span><tt><span 5260 style='font-size:10.0pt'>"<span class=SpellE>fullrmc</span>*macOS*i386-64bit"</span></tt><span 9752 5261 style='mso-fareast-font-family:"Times New Roman"'> (MacOS), </span><tt><span 9753 style='font-size:10.0pt'>" fullrmc*.exe"</span></tt><span5262 style='font-size:10.0pt'>"<span class=SpellE>fullrmc</span>*.exe"</span></tt><span 9754 5263 style='mso-fareast-font-family:"Times New Roman"'> (Windows) or </span><tt><span 9755 style='font-size:10.0pt'>" fullrmc*"</span></tt><span5264 style='font-size:10.0pt'>"<span class=SpellE>fullrmc</span>*"</span></tt><span 9756 5265 style='mso-fareast-font-family:"Times New Roman"'> (Linux). <o:p></o:p></span></p> 9757 5266 9758 5267 <div class=MsoNormal align=center style='text-align:center;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9759 style='mso-fareast-font-family:"Times New Roman" '>9760 9761 <hr size= 2width="100%" align=center>5268 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 5269 5270 <hr size=3 width="100%" align=center> 9762 5271 9763 5272 </span></div> 9764 5273 9765 5274 <div class=MsoNormal align=center style='text-align:center;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9766 style='mso-fareast-font-family:"Times New Roman" '>9767 9768 <hr size= 2width="100%" align=center>5275 style='mso-fareast-font-family:"Times New Roman";mso-no-proof:yes'> 5276 5277 <hr size=3 width="100%" align=center> 9769 5278 9770 5279 </span></div> 9771 5280 9772 5281 <p class=MsoNormal style='tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt'><span 9773 style='mso-fareast-font-family:"Times New Roman"'><!-- hhmts start -->Last 9774 modified: Tue Apr 27 22:21:15 CDT 2021 <!-- hhmts end --><o:p></o:p></span></p> 5282 style='mso-fareast-font-family:"Times New Roman"'><!-- hhmts start -->Last modified: Sun Jun 20 09:16:21 CDT 2021 <!-- hhmts end --><o:p></o:p></span></p> 9775 5283 9776 5284 </div>
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