Changeset 3480 for Tutorials/SimpleMagnetic
- Timestamp:
- Jul 18, 2018 2:40:55 PM (5 years ago)
- Location:
- Tutorials/SimpleMagnetic
- Files:
-
- 2 edited
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- Unmodified
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- Removed
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Tutorials/SimpleMagnetic/SimpleMagnetic.htm
r3479 r3480 12 12 <link rel=File-List href="SimpleMagnetic_files/filelist.xml"> 13 13 <link rel=Edit-Time-Data href="SimpleMagnetic_files/editdata.mso"> 14 <link rel=OLE-Object-Data href="SimpleMagnetic_files/oledata.mso">15 14 <!--[if !mso]> 16 15 <style> … … 24 23 <o:Author>Von Dreele</o:Author> 25 24 <o:LastAuthor>vondreele</o:LastAuthor> 26 <o:Revision>1 6</o:Revision>27 <o:TotalTime>6 197</o:TotalTime>25 <o:Revision>17</o:Revision> 26 <o:TotalTime>6201</o:TotalTime> 28 27 <o:Created>2017-08-09T17:16:00Z</o:Created> 29 <o:LastSaved>2018-07-18T1 8:04:00Z</o:LastSaved>28 <o:LastSaved>2018-07-18T19:38:00Z</o:LastSaved> 30 29 <o:Pages>1</o:Pages> 31 <o:Words>58 42</o:Words>32 <o:Characters>33 305</o:Characters>30 <o:Words>5837</o:Words> 31 <o:Characters>33274</o:Characters> 33 32 <o:Company>Argonne National Laboratory</o:Company> 34 33 <o:Lines>277</o:Lines> 35 34 <o:Paragraphs>78</o:Paragraphs> 36 <o:CharactersWithSpaces>390 69</o:CharactersWithSpaces>35 <o:CharactersWithSpaces>39033</o:CharactersWithSpaces> 37 36 <o:Version>16.00</o:Version> 38 37 </o:DocumentProperties> … … 1691 1690 <p class=MsoNormal><o:p> </o:p></p> 1692 1691 1693 <p class=MsoNormal>< !--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600"1694 o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f"1695 stroked="f">1692 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype 1693 id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" 1694 path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> 1696 1695 <v:stroke joinstyle="miter"/> 1697 1696 <v:formulas> … … 1711 1710 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> 1712 1711 <o:lock v:ext="edit" aspectratio="t"/> 1713 </v:shapetype><v:shape id=" _x0000_i1025" type="#_x0000_t75" style='width:261pt;1714 height:37.5pt' o:ole="">1715 <v:imagedata src="SimpleMagnetic_files/image0 76.wmz" o:title=""/>1712 </v:shapetype><v:shape id="Picture_x0020_1" o:spid="_x0000_i1099" type="#_x0000_t75" 1713 style='width:261pt;height:37.5pt;visibility:visible;mso-wrap-style:square'> 1714 <v:imagedata src="SimpleMagnetic_files/image001.png" o:title=""/> 1716 1715 </v:shape><![endif]--><![if !vml]><img width=348 height=50 1717 src="SimpleMagnetic_files/image078.png" v:shapes="_x0000_i1025"><![endif]><!--[if gte mso 9]><xml> 1718 <o:OLEObject Type="Embed" ProgID="Unknown" ShapeID="_x0000_i1025" 1719 DrawAspect="Content" ObjectID="_1593424245"> 1720 </o:OLEObject> 1721 </xml><![endif]--></p> 1722 1723 <p class=MsoNormal>To have this result, one assumes that the neutron beam is not 1724 polarized, the sample has no texture and there is only elastic scattering. The 1725 first term is the ordinary nuclear structure factor found for all crystalline 1726 materials and the second is the magnetic scattering. Note that the result is a 1727 sum of squares implying that the nuclear and magnetic scattering intensities 1728 are summed to give the total that is measured in a magnetic powder diffraction 1729 experiment. This allows us to model the structure as two separate crystalline 1730 phases; one consists of the chemical arrangement of all the atoms in the 1731 crystal structure described with a conventional unit cell and space group, and 1732 the other contains only the magnetic atoms in a perhaps different unit cell 1733 with a magnetic space group to describe the atom and magnetic moment 1716 src="SimpleMagnetic_files/image001.png" v:shapes="Picture_x0020_1"><![endif]></span></p> 1717 1718 <p class=MsoNormal>To have this result, one assumes that the neutron beam is 1719 not polarized, the sample has no texture and there is only elastic scattering. 1720 The first term is the ordinary nuclear structure factor found for all 1721 crystalline materials and the second is the magnetic scattering. Note that the 1722 result is a sum of squares implying that the nuclear and magnetic scattering 1723 intensities are summed to give the total that is measured in a magnetic powder 1724 diffraction experiment. This allows us to model the structure as two separate 1725 crystalline phases; one consists of the chemical arrangement of all the atoms 1726 in the crystal structure described with a conventional unit cell and space 1727 group, and the other contains only the magnetic atoms in a perhaps different 1728 unit cell with a magnetic space group to describe the atom and magnetic moment 1734 1729 arrangement. Needless to say both phases must describe the same atomic 1735 1730 arrangement for the magnetic ions; these will be linked as needed by … … 1740 1735 <p class=MsoNormal><o:p> </o:p></p> 1741 1736 1742 <p class=MsoNormal><!--[if gte vml 1]><v:shape id="_x0000_i1026" type="#_x0000_t75" 1743 style='width:103.5pt;height:48pt' o:ole=""> 1744 <v:imagedata src="SimpleMagnetic_files/image079.wmz" o:title=""/> 1737 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1738 id="Picture_x0020_2" o:spid="_x0000_i1098" type="#_x0000_t75" style='width:103.5pt; 1739 height:48pt;visibility:visible;mso-wrap-style:square'> 1740 <v:imagedata src="SimpleMagnetic_files/image002.png" o:title=""/> 1745 1741 </v:shape><![endif]--><![if !vml]><img width=138 height=64 1746 src="SimpleMagnetic_files/image080.png" v:shapes="_x0000_i1026"><![endif]><!--[if gte mso 9]><xml> 1747 <o:OLEObject Type="Embed" ProgID="Unknown" ShapeID="_x0000_i1026" 1748 DrawAspect="Content" ObjectID="_1593424246"> 1749 </o:OLEObject> 1750 </xml><![endif]--></p> 1742 src="SimpleMagnetic_files/image002.png" v:shapes="Picture_x0020_2"><![endif]></span></p> 1751 1743 1752 1744 <p class=MsoNormal>The second term (<i style='mso-bidi-font-style:normal'>p<sub>m</sub></i>) … … 1874 1866 1875 1867 <h2><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_3" 1876 o:spid="_x0000_i109 9" type="#_x0000_t75" style='width:319.5pt;height:216.75pt;1868 o:spid="_x0000_i1097" type="#_x0000_t75" style='width:319.5pt;height:216.75pt; 1877 1869 visibility:visible;mso-wrap-style:square'> 1878 1870 <v:imagedata src="SimpleMagnetic_files/image005.png" o:title=""/> 1879 1871 </v:shape><![endif]--><![if !vml]><img border=0 width=426 height=289 1880 src="SimpleMagnetic_files/image0 81.png" v:shapes="Picture_x0020_3"><![endif]></span></h2>1872 src="SimpleMagnetic_files/image003.png" v:shapes="Picture_x0020_3"><![endif]></span></h2> 1881 1873 1882 1874 <p class=MsoNormal><span class=GramE>and</span> the plot window will show the … … 1884 1876 1885 1877 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1886 id="Picture_x0020_4" o:spid="_x0000_i109 8" type="#_x0000_t75" style='width:468pt;1878 id="Picture_x0020_4" o:spid="_x0000_i1096" type="#_x0000_t75" style='width:468pt; 1887 1879 height:401.25pt;visibility:visible;mso-wrap-style:square'> 1888 1880 <v:imagedata src="SimpleMagnetic_files/image007.png" o:title=""/> 1889 1881 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 1890 src="SimpleMagnetic_files/image0 82.png" v:shapes="Picture_x0020_4"><![endif]></span></p>1882 src="SimpleMagnetic_files/image004.png" v:shapes="Picture_x0020_4"><![endif]></span></p> 1891 1883 1892 1884 <h3>Step 2: Select Limits </h3> … … 1925 1917 1926 1918 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1927 id="Picture_x0020_5" o:spid="_x0000_i109 7" type="#_x0000_t75" style='width:468pt;1919 id="Picture_x0020_5" o:spid="_x0000_i1095" type="#_x0000_t75" style='width:468pt; 1928 1920 height:401.25pt;visibility:visible;mso-wrap-style:square'> 1929 1921 <v:imagedata src="SimpleMagnetic_files/image009.png" o:title=""/> 1930 1922 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 1931 src="SimpleMagnetic_files/image0 83.png" v:shapes="Picture_x0020_5"><![endif]></span></p>1923 src="SimpleMagnetic_files/image006.png" v:shapes="Picture_x0020_5"><![endif]></span></p> 1932 1924 1933 1925 <h3>Step 3: Read in the chemical structure for LaMnO<sub>3</sub></h3> … … 1998 1990 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 1999 1991 auto'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_6" 2000 o:spid="_x0000_i109 6" type="#_x0000_t75" style='width:283.5pt;height:228.75pt;1992 o:spid="_x0000_i1094" type="#_x0000_t75" style='width:283.5pt;height:228.75pt; 2001 1993 visibility:visible;mso-wrap-style:square'> 2002 1994 <v:imagedata src="SimpleMagnetic_files/image011.png" o:title=""/> … … 2012 2004 minor-latin'>OK</span></b>. The General tab for the phase is shown next<br> 2013 2005 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_7" 2014 o:spid="_x0000_i109 5" type="#_x0000_t75" style='width:404.25pt;height:208.5pt;2006 o:spid="_x0000_i1093" type="#_x0000_t75" style='width:404.25pt;height:208.5pt; 2015 2007 visibility:visible;mso-wrap-style:square'> 2016 2008 <v:imagedata src="SimpleMagnetic_files/image012.png" o:title=""/> 2017 2009 </v:shape><![endif]--><![if !vml]><img border=0 width=539 height=278 2018 src="SimpleMagnetic_files/image0 84.png" v:shapes="Picture_x0020_7"><![endif]></span></p>2010 src="SimpleMagnetic_files/image008.png" v:shapes="Picture_x0020_7"><![endif]></span></p> 2019 2011 2020 2012 <h3>Step 4. Check powder pattern indexing</h3> … … 2033 2025 histogram (begins with PWDR); the Indexing controls will be shown<br> 2034 2026 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_8" 2035 o:spid="_x0000_i109 4" type="#_x0000_t75" style='width:407.25pt;height:146.25pt;2027 o:spid="_x0000_i1092" type="#_x0000_t75" style='width:407.25pt;height:146.25pt; 2036 2028 visibility:visible;mso-wrap-style:square'> 2037 2029 <v:imagedata src="SimpleMagnetic_files/image014.png" o:title=""/> 2038 2030 </v:shape><![endif]--><![if !vml]><img border=0 width=543 height=195 2039 src="SimpleMagnetic_files/image0 85.png" v:shapes="Picture_x0020_8"><![endif]></span></p>2031 src="SimpleMagnetic_files/image010.png" v:shapes="Picture_x0020_8"><![endif]></span></p> 2040 2032 2041 2033 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2067 2059 and the Indexing controls will be change<br> 2068 2060 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_9" 2069 o:spid="_x0000_i109 3" type="#_x0000_t75" style='width:411pt;height:147.75pt;2061 o:spid="_x0000_i1091" type="#_x0000_t75" style='width:411pt;height:147.75pt; 2070 2062 visibility:visible;mso-wrap-style:square'> 2071 2063 <v:imagedata src="SimpleMagnetic_files/image016.png" o:title=""/> 2072 2064 </v:shape><![endif]--><![if !vml]><img border=0 width=548 height=197 2073 src="SimpleMagnetic_files/image0 86.png" v:shapes="Picture_x0020_9"><![endif]></span><br>2065 src="SimpleMagnetic_files/image013.png" v:shapes="Picture_x0020_9"><![endif]></span><br> 2074 2066 showing the lattice constants for LaMnO3 you had obtained from the <span 2075 2067 class=SpellE>cif</span> file. Note that the space group is set to that of the <span … … 2087 2079 calculated reflection line positions.<br> 2088 2080 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_10" 2089 o:spid="_x0000_i109 2" type="#_x0000_t75" style='width:414pt;height:354.75pt;2081 o:spid="_x0000_i1090" type="#_x0000_t75" style='width:414pt;height:354.75pt; 2090 2082 visibility:visible;mso-wrap-style:square'> 2091 2083 <v:imagedata src="SimpleMagnetic_files/image018.png" o:title=""/> 2092 2084 </v:shape><![endif]--><![if !vml]><img border=0 width=552 height=473 2093 src="SimpleMagnetic_files/image0 87.png" v:shapes="Picture_x0020_10"><![endif]></span></p>2085 src="SimpleMagnetic_files/image015.png" v:shapes="Picture_x0020_10"><![endif]></span></p> 2094 2086 2095 2087 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2096 2088 auto'>This is the reflection set for the <span class=SpellE>Bravais</span> 2097 2089 lattice <span class=SpellE>Pmmm</span> which includes <span class=SpellE>relections</span> 2098 that may be space group extinct and/or magnetically extinct. BN: a reflection that2099 is space group extinct could still be allowed for magnetic scattering.</p>2090 that may be space group extinct and/or magnetically extinct. BN: a reflection 2091 that is space group extinct could still be allowed for magnetic scattering.</p> 2100 2092 2101 2093 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2105 2097 in on the lowest part of the pattern to see details of the indexing<br> 2106 2098 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_11" 2107 o:spid="_x0000_i10 91" type="#_x0000_t75" style='width:411pt;height:352.5pt;2099 o:spid="_x0000_i1089" type="#_x0000_t75" style='width:411pt;height:352.5pt; 2108 2100 visibility:visible;mso-wrap-style:square'> 2109 2101 <v:imagedata src="SimpleMagnetic_files/image020.png" o:title=""/> 2110 2102 </v:shape><![endif]--><![if !vml]><img border=0 width=548 height=470 2111 src="SimpleMagnetic_files/image0 88.png" v:shapes="Picture_x0020_11"><![endif]></span></p>2103 src="SimpleMagnetic_files/image017.png" v:shapes="Picture_x0020_11"><![endif]></span></p> 2112 2104 2113 2105 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2125 2117 (near the bottom of the pull down); the indexing will immediately change<br> 2126 2118 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_12" 2127 o:spid="_x0000_i10 90" type="#_x0000_t75" style='width:408pt;height:349.5pt;2119 o:spid="_x0000_i1088" type="#_x0000_t75" style='width:408pt;height:349.5pt; 2128 2120 visibility:visible;mso-wrap-style:square'> 2129 2121 <v:imagedata src="SimpleMagnetic_files/image022.png" o:title=""/> 2130 2122 </v:shape><![endif]--><![if !vml]><img border=0 width=544 height=466 2131 src="SimpleMagnetic_files/image0 89.png" v:shapes="Picture_x0020_12"><![endif]></span><br>2123 src="SimpleMagnetic_files/image019.png" v:shapes="Picture_x0020_12"><![endif]></span><br> 2132 2124 Notice that the 1<sup>st</sup> peak (as well as the contaminant) is no longer 2133 2125 indexed; this is likely to be a magnetic only peak as expected from an … … 2158 2150 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2159 2151 auto'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_13" 2160 o:spid="_x0000_i108 9" type="#_x0000_t75" style='width:405pt;height:146.25pt;2152 o:spid="_x0000_i1087" type="#_x0000_t75" style='width:405pt;height:146.25pt; 2161 2153 visibility:visible;mso-wrap-style:square'> 2162 2154 <v:imagedata src="SimpleMagnetic_files/image024.png" o:title=""/> 2163 2155 </v:shape><![endif]--><![if !vml]><img border=0 width=540 height=195 2164 src="SimpleMagnetic_files/image0 90.png" v:shapes="Picture_x0020_13"><![endif]></span></p>2156 src="SimpleMagnetic_files/image021.png" v:shapes="Picture_x0020_13"><![endif]></span></p> 2165 2157 2166 2158 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2202 2194 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2203 2195 auto'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_14" 2204 o:spid="_x0000_i108 8" type="#_x0000_t75" style='width:192pt;height:160.5pt;2196 o:spid="_x0000_i1086" type="#_x0000_t75" style='width:192pt;height:160.5pt; 2205 2197 visibility:visible;mso-wrap-style:square'> 2206 2198 <v:imagedata src="SimpleMagnetic_files/image026.png" o:title=""/> 2207 2199 </v:shape><![endif]--><![if !vml]><img border=0 width=256 height=214 2208 src="SimpleMagnetic_files/image0 91.png" v:shapes="Picture_x0020_14"><![endif]></span></p>2200 src="SimpleMagnetic_files/image023.png" v:shapes="Picture_x0020_14"><![endif]></span></p> 2209 2201 2210 2202 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2214 2206 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2215 2207 auto'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_15" 2216 o:spid="_x0000_i108 7" type="#_x0000_t75" style='width:192pt;height:160.5pt;2208 o:spid="_x0000_i1085" type="#_x0000_t75" style='width:192pt;height:160.5pt; 2217 2209 visibility:visible;mso-wrap-style:square'> 2218 2210 <v:imagedata src="SimpleMagnetic_files/image028.png" o:title=""/> 2219 2211 </v:shape><![endif]--><![if !vml]><img border=0 width=256 height=214 2220 src="SimpleMagnetic_files/image0 92.png" v:shapes="Picture_x0020_15"><![endif]></span></p>2212 src="SimpleMagnetic_files/image025.png" v:shapes="Picture_x0020_15"><![endif]></span></p> 2221 2213 2222 2214 <p class=MsoListParagraphCxSpLast style='margin-left:.25in;mso-add-space:auto'>It 2223 is worthwhile noticing that the inversion operator (-1) is red in the latter but2224 not in the former since an atom at an inversion center cannot have a magnetic 2225 m oment if there is also spin inversion. More about this later. Press <b2215 is worthwhile noticing that the inversion operator (-1) is red in the latter 2216 but not in the former since an atom at an inversion center cannot have a 2217 magnetic moment if there is also spin inversion. More about this later. Press <b 2226 2218 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2227 2219 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: … … 2240 2232 2241 2233 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2242 id="Picture_x0020_16" o:spid="_x0000_i108 6" type="#_x0000_t75" style='width:468pt;2234 id="Picture_x0020_16" o:spid="_x0000_i1084" type="#_x0000_t75" style='width:468pt; 2243 2235 height:230.25pt;visibility:visible;mso-wrap-style:square'> 2244 2236 <v:imagedata src="SimpleMagnetic_files/image030.png" o:title=""/> 2245 2237 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=307 2246 src="SimpleMagnetic_files/image0 93.png" v:shapes="Picture_x0020_16"><![endif]></span></p>2238 src="SimpleMagnetic_files/image027.png" v:shapes="Picture_x0020_16"><![endif]></span></p> 2247 2239 2248 2240 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 2255 2247 2256 2248 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2257 id="Picture_x0020_76" o:spid="_x0000_i108 5" type="#_x0000_t75" style='width:3in;2258 height: 248.25pt;visibility:visible;mso-wrap-style:square'>2259 <v:imagedata src="SimpleMagnetic_files/image0 94.png" o:title=""/>2260 </v:shape><![endif]--><![if !vml]><img border=0 width= 288 height=3312261 src="SimpleMagnetic_files/image0 95.png" v:shapes="Picture_x0020_76"><![endif]></span></p>2249 id="Picture_x0020_76" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:274.5pt; 2250 height:327pt;visibility:visible;mso-wrap-style:square'> 2251 <v:imagedata src="SimpleMagnetic_files/image029.png" o:title=""/> 2252 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=436 2253 src="SimpleMagnetic_files/image029.png" v:shapes="Picture_x0020_76"><![endif]></span></p> 2262 2254 2263 2255 <p class=MsoNormal>The order of operations for the transformation is given at 2264 2256 the top of the window; the U vector permits applying an origin shift to the 2265 atom coordinates before the transformation and the V vector is for an origin shift2266 after the transformation. The lattice parameters are transformed by changing 2267 the metric tensor via</p>2257 atom coordinates before the transformation and the V vector is for an origin 2258 shift after the transformation. The lattice parameters are transformed by 2259 changing the metric tensor via</p> 2268 2260 2269 2261 <p class=MsoNormal><o:p> </o:p></p> … … 2293 2285 <p class=MsoNormal>The dialog box gives an extensive list of commonly used 2294 2286 transformations for e.g. swapping axes. In this case we are not transforming 2295 the unit cell so the matrix is just the unit matrix (ones on diagonal) and we are2296 not shifting the origin so U & V are zeros. We do want the new phase to be 2297 magnetic so press the <b style='mso-bidi-font-weight:normal'><span2287 the unit cell so the matrix is just the unit matrix (ones on diagonal) and we 2288 are not shifting the origin so U & V are zeros. We do want the new phase to 2289 be magnetic so press the <b style='mso-bidi-font-weight:normal'><span 2298 2290 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2299 2291 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Make new … … 2301 2293 2302 2294 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2303 id="Picture_x0020_77" o:spid="_x0000_i108 4" type="#_x0000_t75" style='width:215.25pt;2304 height: 263.25pt;visibility:visible;mso-wrap-style:square'>2305 <v:imagedata src="SimpleMagnetic_files/image0 96.png" o:title=""/>2306 </v:shape><![endif]--><![if !vml]><img border=0 width= 287 height=3512307 src="SimpleMagnetic_files/image0 97.png" v:shapes="Picture_x0020_77"><![endif]></span></p>2295 id="Picture_x0020_77" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:274.5pt; 2296 height:324.75pt;visibility:visible;mso-wrap-style:square'> 2297 <v:imagedata src="SimpleMagnetic_files/image031.png" o:title=""/> 2298 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=433 2299 src="SimpleMagnetic_files/image031.png" v:shapes="Picture_x0020_77"><![endif]></span></p> 2308 2300 2309 2301 <p class=MsoNormal>This allows one to select possible magnetic lattice 2310 2302 centering operations as given by the BNS nomenclature. This can be needed if 2311 2303 one had discovered a requirement of doubling a cell axis in the previous step 2312 (e.g. a nonzero propagation vector). This is not required in this case and we 2313 are using the space group (<span class=SpellE>Pnma</span>) for the magnetic 2314 cell. Leave the box at the bottom about constraints checked as we want them to 2315 t ie the two phases together.<span style='mso-spacerun:yes'> </span>Press <b2304 (e.g. a nonzero propagation vector). This is not required in this case and we are 2305 using the space group (<span class=SpellE>Pnma</span>) for the magnetic cell. 2306 Leave the box at the bottom about constraints checked as we want them to tie 2307 the two phases together.<span style='mso-spacerun:yes'> </span>Press <b 2316 2308 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2317 2309 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: … … 2319 2311 2320 2312 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2321 id="_x0000_i108 3" type="#_x0000_t75" style='width:181.5pt;height:80.25pt;2313 id="_x0000_i1081" type="#_x0000_t75" style='width:181.5pt;height:80.25pt; 2322 2314 visibility:visible;mso-wrap-style:square'> 2323 2315 <v:imagedata src="SimpleMagnetic_files/image034.png" o:title=""/> 2324 2316 </v:shape><![endif]--><![if !vml]><img border=0 width=242 height=107 2325 src="SimpleMagnetic_files/image034.png" v:shapes="_x0000_i108 3"><![endif]></span></p>2317 src="SimpleMagnetic_files/image034.png" v:shapes="_x0000_i1081"><![endif]></span></p> 2326 2318 2327 2319 <p class=MsoNormal>This allows one to reject certain atoms that are known to … … 2333 2325 2334 2326 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2335 id=" Picture_x0020_24" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:468pt;2336 height:270pt;visibility:visible;mso-wrap-style:square'>2327 id="_x0000_i1080" type="#_x0000_t75" style='width:468pt;height:270pt; 2328 visibility:visible;mso-wrap-style:square'> 2337 2329 <v:imagedata src="SimpleMagnetic_files/image035.png" o:title=""/> 2338 2330 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=360 2339 src="SimpleMagnetic_files/image0 98.png" v:shapes="Picture_x0020_24"><![endif]></span></p>2331 src="SimpleMagnetic_files/image032.png" v:shapes="_x0000_i1080"><![endif]></span></p> 2340 2332 2341 2333 <p class=MsoNormal>The phase is named with mag appended to the end, the phase … … 2349 2341 2350 2342 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2351 id=" Picture_x0020_31" o:spid="_x0000_i1081" type="#_x0000_t75" style='width:387.75pt;2352 height:264.75pt;visibility:visible;mso-wrap-style:square'>2343 id="_x0000_i1079" type="#_x0000_t75" style='width:387.75pt;height:264.75pt; 2344 visibility:visible;mso-wrap-style:square'> 2353 2345 <v:imagedata src="SimpleMagnetic_files/image037.png" o:title=""/> 2354 2346 </v:shape><![endif]--><![if !vml]><img border=0 width=517 height=353 2355 src="SimpleMagnetic_files/image0 99.png" v:shapes="Picture_x0020_31"><![endif]></span></p>2347 src="SimpleMagnetic_files/image033.png" v:shapes="_x0000_i1079"><![endif]></span></p> 2356 2348 2357 2349 <p class=MsoNormal>This shows all the possible required constraints between the … … 2368 2360 2369 2361 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2370 id="Picture_x0020_32" o:spid="_x0000_i10 80" type="#_x0000_t75" style='width:386.25pt;2362 id="Picture_x0020_32" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:386.25pt; 2371 2363 height:139.5pt;visibility:visible;mso-wrap-style:square'> 2372 2364 <v:imagedata src="SimpleMagnetic_files/image039.png" o:title=""/> 2373 2365 </v:shape><![endif]--><![if !vml]><img border=0 width=515 height=186 2374 src="SimpleMagnetic_files/image 100.png" v:shapes="Picture_x0020_32"><![endif]></span></p>2366 src="SimpleMagnetic_files/image036.png" v:shapes="Picture_x0020_32"><![endif]></span></p> 2375 2367 2376 2368 <p class=MsoNormal>This gives the constraints between the two phases for scale … … 2400 2392 2401 2393 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2402 id="Picture_x0020_23" o:spid="_x0000_i107 9" type="#_x0000_t75" style='width:468pt;2394 id="Picture_x0020_23" o:spid="_x0000_i1077" type="#_x0000_t75" style='width:468pt; 2403 2395 height:111.75pt;visibility:visible;mso-wrap-style:square'> 2404 2396 <v:imagedata src="SimpleMagnetic_files/image041.png" o:title=""/> 2405 2397 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=149 2406 src="SimpleMagnetic_files/image 101.png" v:shapes="Picture_x0020_23"><![endif]></span></p>2398 src="SimpleMagnetic_files/image038.png" v:shapes="Picture_x0020_23"><![endif]></span></p> 2407 2399 2408 2400 <p class=MsoNormal>The boxes that carry the magnetic moment components (<span … … 2435 2427 2436 2428 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2437 id=" _x0000_i1078" type="#_x0000_t75" style='width:468pt;height:231pt;2438 visibility:visible;mso-wrap-style:square'>2429 id="Picture_x0020_24" o:spid="_x0000_i1076" type="#_x0000_t75" style='width:468pt; 2430 height:231pt;visibility:visible;mso-wrap-style:square'> 2439 2431 <v:imagedata src="SimpleMagnetic_files/image043.png" o:title=""/> 2440 2432 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=308 2441 src="SimpleMagnetic_files/image 102.png" v:shapes="_x0000_i1078"><![endif]></span></p>2433 src="SimpleMagnetic_files/image040.png" v:shapes="Picture_x0020_24"><![endif]></span></p> 2442 2434 2443 2435 <p class=MsoNormal>It now shows the magnetic space group as <span class=SpellE>Pnma</span>. … … 2447 2439 2448 2440 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2449 id="Picture_x0020_25" o:spid="_x0000_i107 7" type="#_x0000_t75" style='width:468pt;2441 id="Picture_x0020_25" o:spid="_x0000_i1075" type="#_x0000_t75" style='width:468pt; 2450 2442 height:121.5pt;visibility:visible;mso-wrap-style:square'> 2451 2443 <v:imagedata src="SimpleMagnetic_files/image045.png" o:title=""/> 2452 2444 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=162 2453 src="SimpleMagnetic_files/image 103.png" v:shapes="Picture_x0020_25"><![endif]></span></p>2445 src="SimpleMagnetic_files/image042.png" v:shapes="Picture_x0020_25"><![endif]></span></p> 2454 2446 2455 2447 <p class=MsoNormal><span class=GramE>with</span> 0.0 in each of the magnetic … … 2491 2483 2492 2484 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2493 id="Picture_x0020_26" o:spid="_x0000_i107 6" type="#_x0000_t75" style='width:315.75pt;2485 id="Picture_x0020_26" o:spid="_x0000_i1074" type="#_x0000_t75" style='width:315.75pt; 2494 2486 height:230.25pt;visibility:visible;mso-wrap-style:square'> 2495 2487 <v:imagedata src="SimpleMagnetic_files/image047.png" o:title=""/> 2496 2488 </v:shape><![endif]--><![if !vml]><img border=0 width=421 height=307 2497 src="SimpleMagnetic_files/image 105.png" v:shapes="Picture_x0020_26"><![endif]></span></p>2489 src="SimpleMagnetic_files/image044.png" v:shapes="Picture_x0020_26"><![endif]></span></p> 2498 2490 2499 2491 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 2506 2498 2507 2499 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2508 id="Picture_x0020_34" o:spid="_x0000_i107 5" type="#_x0000_t75" style='width:333pt;2500 id="Picture_x0020_34" o:spid="_x0000_i1073" type="#_x0000_t75" style='width:333pt; 2509 2501 height:168.75pt;visibility:visible;mso-wrap-style:square'> 2510 2502 <v:imagedata src="SimpleMagnetic_files/image049.png" o:title=""/> 2511 2503 </v:shape><![endif]--><![if !vml]><img border=0 width=444 height=225 2512 src="SimpleMagnetic_files/image 107.png" v:shapes="Picture_x0020_34"><![endif]></span></p>2504 src="SimpleMagnetic_files/image046.png" v:shapes="Picture_x0020_34"><![endif]></span></p> 2513 2505 2514 2506 <p class=MsoNormal>Scroll down to the bottom and select <b style='mso-bidi-font-weight: … … 2522 2514 2523 2515 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2524 id="Picture_x0020_35" o:spid="_x0000_i107 4" type="#_x0000_t75" style='width:312pt;2516 id="Picture_x0020_35" o:spid="_x0000_i1072" type="#_x0000_t75" style='width:312pt; 2525 2517 height:227.25pt;visibility:visible;mso-wrap-style:square'> 2526 2518 <v:imagedata src="SimpleMagnetic_files/image051.png" o:title=""/> 2527 2519 </v:shape><![endif]--><![if !vml]><img border=0 width=416 height=303 2528 src="SimpleMagnetic_files/image 108.png" v:shapes="Picture_x0020_35"><![endif]></span></p>2520 src="SimpleMagnetic_files/image048.png" v:shapes="Picture_x0020_35"><![endif]></span></p> 2529 2521 2530 2522 <p class=MsoNormal>Now return to phases and select <b style='mso-bidi-font-weight: … … 2537 2529 2538 2530 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2539 id="Picture_x0020_37" o:spid="_x0000_i107 3" type="#_x0000_t75" style='width:366.75pt;2531 id="Picture_x0020_37" o:spid="_x0000_i1071" type="#_x0000_t75" style='width:366.75pt; 2540 2532 height:75.75pt;visibility:visible;mso-wrap-style:square'> 2541 2533 <v:imagedata src="SimpleMagnetic_files/image053.png" o:title=""/> 2542 2534 </v:shape><![endif]--><![if !vml]><img border=0 width=489 height=101 2543 src="SimpleMagnetic_files/image 109.png" v:shapes="Picture_x0020_37"><![endif]></span></p>2535 src="SimpleMagnetic_files/image050.png" v:shapes="Picture_x0020_37"><![endif]></span></p> 2544 2536 2545 2537 <p class=MsoNormal>The least squares will not begin a refinement of <span … … 2558 2550 2559 2551 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2560 id=" _x0000_i1072" type="#_x0000_t75" style='width:463.5pt;height:425.25pt;2561 visibility:visible;mso-wrap-style:square'>2552 id="Picture_x0020_30" o:spid="_x0000_i1070" type="#_x0000_t75" style='width:463.5pt; 2553 height:425.25pt;visibility:visible;mso-wrap-style:square'> 2562 2554 <v:imagedata src="SimpleMagnetic_files/image055.png" o:title=""/> 2563 2555 </v:shape><![endif]--><![if !vml]><img border=0 width=618 height=567 2564 src="SimpleMagnetic_files/image 113.png" v:shapes="_x0000_i1072"><![endif]></span></p>2556 src="SimpleMagnetic_files/image052.png" v:shapes="Picture_x0020_30"><![endif]></span></p> 2565 2557 2566 2558 <p class=MsoNormal>There does not appear to be any calculated magnetic … … 2569 2561 2570 2562 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2571 id=" _x0000_i1071" type="#_x0000_t75" style='width:463.5pt;height:425.25pt;2572 visibility:visible;mso-wrap-style:square'>2563 id="Picture_x0020_31" o:spid="_x0000_i1069" type="#_x0000_t75" style='width:463.5pt; 2564 height:425.25pt;visibility:visible;mso-wrap-style:square'> 2573 2565 <v:imagedata src="SimpleMagnetic_files/image057.png" o:title=""/> 2574 2566 </v:shape><![endif]--><![if !vml]><img border=0 width=618 height=567 2575 src="SimpleMagnetic_files/image 115.png" v:shapes="_x0000_i1071"><![endif]></span></p>2567 src="SimpleMagnetic_files/image054.png" v:shapes="Picture_x0020_31"><![endif]></span></p> 2576 2568 2577 2569 <p class=MsoNormal>The magnetic moment is clearly too small; to let the least … … 2586 2578 2587 2579 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2588 id="Picture_x0020_40" o:spid="_x0000_i10 70" type="#_x0000_t75" style='width:463.5pt;2580 id="Picture_x0020_40" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:463.5pt; 2589 2581 height:426pt;visibility:visible;mso-wrap-style:square'> 2590 2582 <v:imagedata src="SimpleMagnetic_files/image059.png" o:title=""/> 2591 2583 </v:shape><![endif]--><![if !vml]><img border=0 width=618 height=568 2592 src="SimpleMagnetic_files/image 116.png" v:shapes="Picture_x0020_40"><![endif]></span></p>2584 src="SimpleMagnetic_files/image056.png" v:shapes="Picture_x0020_40"><![endif]></span></p> 2593 2585 2594 2586 <p class=MsoNormal>This appears to be a reasonable solution; a more complete … … 2615 2607 2616 2608 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2617 id="Picture_x0020_33" o:spid="_x0000_i106 9" type="#_x0000_t75" style='width:465.75pt;2609 id="Picture_x0020_33" o:spid="_x0000_i1067" type="#_x0000_t75" style='width:465.75pt; 2618 2610 height:263.25pt;visibility:visible;mso-wrap-style:square'> 2619 2611 <v:imagedata src="SimpleMagnetic_files/image061.png" o:title=""/> 2620 2612 </v:shape><![endif]--><![if !vml]><img border=0 width=621 height=351 2621 src="SimpleMagnetic_files/image 117.png" v:shapes="Picture_x0020_33"><![endif]></span></p>2613 src="SimpleMagnetic_files/image058.png" v:shapes="Picture_x0020_33"><![endif]></span></p> 2622 2614 2623 2615 <p class=MsoNormal>Now set the spin operators to all <b style='mso-bidi-font-weight: … … 2630 2622 2631 2623 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2632 id="Picture_x0020_18" o:spid="_x0000_i106 8" type="#_x0000_t75" style='width:464.25pt;2624 id="Picture_x0020_18" o:spid="_x0000_i1066" type="#_x0000_t75" style='width:464.25pt; 2633 2625 height:93pt;visibility:visible;mso-wrap-style:square'> 2634 2626 <v:imagedata src="SimpleMagnetic_files/image063.png" o:title=""/> 2635 2627 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=124 2636 src="SimpleMagnetic_files/image 118.png" v:shapes="Picture_x0020_18"><![endif]></span></p>2628 src="SimpleMagnetic_files/image060.png" v:shapes="Picture_x0020_18"><![endif]></span></p> 2637 2629 2638 2630 <p class=MsoNormal>Again, one can make the same argument that since the 010 … … 2660 2652 2661 2653 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2662 id="Picture_x0020_19" o:spid="_x0000_i106 7" type="#_x0000_t75" style='width:464.25pt;2654 id="Picture_x0020_19" o:spid="_x0000_i1065" type="#_x0000_t75" style='width:464.25pt; 2663 2655 height:426pt;visibility:visible;mso-wrap-style:square'> 2664 2656 <v:imagedata src="SimpleMagnetic_files/image065.png" o:title=""/> 2665 2657 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=568 2666 src="SimpleMagnetic_files/image 122.png" v:shapes="Picture_x0020_19"><![endif]></span></p>2658 src="SimpleMagnetic_files/image062.png" v:shapes="Picture_x0020_19"><![endif]></span></p> 2667 2659 2668 2660 <p class=MsoNormal>There is intensity in the lowest angle reflection (the 010) … … 2683 2675 2684 2676 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2685 id="Picture_x0020_20" o:spid="_x0000_i106 6" type="#_x0000_t75" style='width:459pt;2677 id="Picture_x0020_20" o:spid="_x0000_i1064" type="#_x0000_t75" style='width:459pt; 2686 2678 height:188.25pt;visibility:visible;mso-wrap-style:square'> 2687 2679 <v:imagedata src="SimpleMagnetic_files/image104.png" o:title=""/> 2688 2680 </v:shape><![endif]--><![if !vml]><img border=0 width=612 height=251 2689 src="SimpleMagnetic_files/image 123.png" v:shapes="Picture_x0020_20"><![endif]></span></p>2690 2691 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2692 id="Picture_x0020_21" o:spid="_x0000_i106 5" type="#_x0000_t75" style='width:457.5pt;2681 src="SimpleMagnetic_files/image064.png" v:shapes="Picture_x0020_20"><![endif]></span></p> 2682 2683 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2684 id="Picture_x0020_21" o:spid="_x0000_i1063" type="#_x0000_t75" style='width:457.5pt; 2693 2685 height:176.25pt;visibility:visible;mso-wrap-style:square'> 2694 2686 <v:imagedata src="SimpleMagnetic_files/image106.png" o:title=""/> 2695 2687 </v:shape><![endif]--><![if !vml]><img border=0 width=610 height=235 2696 src="SimpleMagnetic_files/image 124.png" v:shapes="Picture_x0020_21"><![endif]></span></p>2688 src="SimpleMagnetic_files/image066.png" v:shapes="Picture_x0020_21"><![endif]></span></p> 2697 2689 2698 2690 <p class=MsoNormal>You can see in particular at the pair of peaks at 33.3 and … … 2716 2708 2717 2709 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2718 id="Picture_x0020_38" o:spid="_x0000_i106 4" type="#_x0000_t75" style='width:454.5pt;2710 id="Picture_x0020_38" o:spid="_x0000_i1062" type="#_x0000_t75" style='width:454.5pt; 2719 2711 height:396pt;visibility:visible;mso-wrap-style:square'> 2720 2712 <v:imagedata src="SimpleMagnetic_files/image110.png" o:title=""/> 2721 2713 </v:shape><![endif]--><![if !vml]><img border=0 width=606 height=528 2722 src="SimpleMagnetic_files/image 125.png" v:shapes="Picture_x0020_38"><![endif]></span></p>2714 src="SimpleMagnetic_files/image068.png" v:shapes="Picture_x0020_38"><![endif]></span></p> 2723 2715 2724 2716 <p class=MsoNormal>Looking at the plot, it would seem that the lattice … … 2739 2731 2740 2732 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2741 id="Picture_x0020_39" o:spid="_x0000_i106 3" type="#_x0000_t75" style='width:359.25pt;2733 id="Picture_x0020_39" o:spid="_x0000_i1061" type="#_x0000_t75" style='width:359.25pt; 2742 2734 height:237.75pt;visibility:visible;mso-wrap-style:square'> 2743 2735 <v:imagedata src="SimpleMagnetic_files/image114.png" o:title=""/> 2744 2736 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=317 2745 src="SimpleMagnetic_files/image 131.png" v:shapes="Picture_x0020_39"><![endif]></span></p>2737 src="SimpleMagnetic_files/image070.png" v:shapes="Picture_x0020_39"><![endif]></span></p> 2746 2738 2747 2739 <p class=MsoNormal>Since the scan covers a very wide range in 2<span … … 2775 2767 2776 2768 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2777 id=" Picture_x0020_41" o:spid="_x0000_i1062" type="#_x0000_t75" style='width:465pt;2778 height:404.25pt;visibility:visible;mso-wrap-style:square'>2769 id="_x0000_i1060" type="#_x0000_t75" style='width:465pt;height:404.25pt; 2770 visibility:visible;mso-wrap-style:square'> 2779 2771 <v:imagedata src="SimpleMagnetic_files/image072.png" o:title=""/> 2780 2772 </v:shape><![endif]--><![if !vml]><img border=0 width=620 height=539 2781 src="SimpleMagnetic_files/image 132.png" v:shapes="Picture_x0020_41"><![endif]></span></p>2773 src="SimpleMagnetic_files/image073.png" v:shapes="_x0000_i1060"><![endif]></span></p> 2782 2774 2783 2775 <p class=MsoNormal>Now we can add refinement of the atom positions and thermal … … 2828 2820 2829 2821 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2830 id=" _x0000_i1061" type="#_x0000_t75" style='width:461.25pt;height:395.25pt;2831 visibility:visible;mso-wrap-style:square'>2822 id="Picture_x0020_41" o:spid="_x0000_i1059" type="#_x0000_t75" style='width:461.25pt; 2823 height:395.25pt;visibility:visible;mso-wrap-style:square'> 2832 2824 <v:imagedata src="SimpleMagnetic_files/image121.png" o:title=""/> 2833 2825 </v:shape><![endif]--><![if !vml]><img border=0 width=615 height=527 2834 src="SimpleMagnetic_files/image 133.png" v:shapes="_x0000_i1061"><![endif]></span></p>2826 src="SimpleMagnetic_files/image074.png" v:shapes="Picture_x0020_41"><![endif]></span></p> 2835 2827 2836 2828 <p class=MsoNormal>This curve shows a couple of peaks which are from some … … 2862 2854 2863 2855 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2864 id=" _x0000_i1060" type="#_x0000_t75" style='width:461.25pt;height:96.75pt;2865 visibility:visible;mso-wrap-style:square'>2856 id="Picture_x0020_42" o:spid="_x0000_i1058" type="#_x0000_t75" style='width:461.25pt; 2857 height:96.75pt;visibility:visible;mso-wrap-style:square'> 2866 2858 <v:imagedata src="SimpleMagnetic_files/image111.png" o:title=""/> 2867 2859 </v:shape><![endif]--><![if !vml]><img border=0 width=615 height=129 2868 src="SimpleMagnetic_files/image 135.png" v:shapes="_x0000_i1060"><![endif]></span></p>2860 src="SimpleMagnetic_files/image075.png" v:shapes="Picture_x0020_42"><![endif]></span></p> 2869 2861 2870 2862 <p class=MsoNormal><o:p> </o:p></p> … … 2880 2872 2881 2873 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2882 id="Picture_x0020_44" o:spid="_x0000_i105 9" type="#_x0000_t75" style='width:462pt;2874 id="Picture_x0020_44" o:spid="_x0000_i1057" type="#_x0000_t75" style='width:462pt; 2883 2875 height:185.25pt;visibility:visible;mso-wrap-style:square'> 2884 2876 <v:imagedata src="SimpleMagnetic_files/image119.png" o:title=""/> 2885 2877 </v:shape><![endif]--><![if !vml]><img border=0 width=616 height=247 2886 src="SimpleMagnetic_files/image 137.png" v:shapes="Picture_x0020_44"><![endif]></span></p>2878 src="SimpleMagnetic_files/image076.png" v:shapes="Picture_x0020_44"><![endif]></span></p> 2887 2879 2888 2880 <p class=MsoNormal>The plot will show the unit cell contents of <span … … 2893 2885 2894 2886 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2895 id="Picture_x0020_45" o:spid="_x0000_i105 8" type="#_x0000_t75" style='width:457.5pt;2887 id="Picture_x0020_45" o:spid="_x0000_i1056" type="#_x0000_t75" style='width:457.5pt; 2896 2888 height:384.75pt;visibility:visible;mso-wrap-style:square'> 2897 2889 <v:imagedata src="SimpleMagnetic_files/image126.png" o:title=""/> 2898 2890 </v:shape><![endif]--><![if !vml]><img border=0 width=610 height=513 2899 src="SimpleMagnetic_files/image 139.png" v:shapes="Picture_x0020_45"><![endif]></span></p>2891 src="SimpleMagnetic_files/image077.png" v:shapes="Picture_x0020_45"><![endif]></span></p> 2900 2892 2901 2893 <p class=MsoNormal>This completes this tutorial; you can save the project if … … 2906 2898 <p class=MsoNormal>The magnetic structure of LaMnO<sub>3</sub> can be 2907 2899 profoundly changed by addition of Ca in place of some of the La; in this case 2908 ferromagnetic ordering apparently was obtained. This tutorial will investigate that2909 from neutron powder data collected at 50K on the same instrument as the first 2910 exercise (BT1 at NIST; thanks to Qingzhen Huang for providing the data). Start 2911 GSAS-II if you have not done so already.</p>2900 ferromagnetic ordering apparently was obtained. This tutorial will investigate 2901 that from neutron powder data collected at 50K on the same instrument as the 2902 first exercise (BT1 at NIST; thanks to Qingzhen Huang for providing the data). 2903 Start GSAS-II if you have not done so already.</p> 2912 2904 2913 2905 <p class=MsoNormal><o:p> </o:p></p> … … 3003 2995 3004 2996 <p class=MsoNormal style='margin-left:.25in'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3005 id="Picture_x0020_27" o:spid="_x0000_i105 7" type="#_x0000_t75" style='width:195.75pt;2997 id="Picture_x0020_27" o:spid="_x0000_i1055" type="#_x0000_t75" style='width:195.75pt; 3006 2998 height:207pt;visibility:visible;mso-wrap-style:square'> 3007 2999 <v:imagedata src="SimpleMagnetic_files/image067.png" o:title=""/> 3008 3000 </v:shape><![endif]--><![if !vml]><img border=0 width=261 height=276 3009 src="SimpleMagnetic_files/image 161.png" v:shapes="Picture_x0020_27"><![endif]></span></p>3001 src="SimpleMagnetic_files/image079.png" v:shapes="Picture_x0020_27"><![endif]></span></p> 3010 3002 3011 3003 <p class=MsoNormal style='margin-left:.25in'><span class=GramE>and</span> the … … 3013 3005 3014 3006 <p class=MsoNormal style='margin-left:.25in'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3015 id="Picture_x0020_28" o:spid="_x0000_i105 6" type="#_x0000_t75" style='width:447pt;3007 id="Picture_x0020_28" o:spid="_x0000_i1054" type="#_x0000_t75" style='width:447pt; 3016 3008 height:407.25pt;visibility:visible;mso-wrap-style:square'> 3017 3009 <v:imagedata src="SimpleMagnetic_files/image069.png" o:title=""/> 3018 3010 </v:shape><![endif]--><![if !vml]><img border=0 width=596 height=543 3019 src="SimpleMagnetic_files/image 162.png" v:shapes="Picture_x0020_28"><![endif]></span></p>3011 src="SimpleMagnetic_files/image094.png" v:shapes="Picture_x0020_28"><![endif]></span></p> 3020 3012 3021 3013 <h3>Step 2: Select Limits </h3> … … 3048 3040 3049 3041 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3050 id="Picture_x0020_29" o:spid="_x0000_i105 5" type="#_x0000_t75" style='width:468pt;3042 id="Picture_x0020_29" o:spid="_x0000_i1053" type="#_x0000_t75" style='width:468pt; 3051 3043 height:426pt;visibility:visible;mso-wrap-style:square'> 3052 3044 <v:imagedata src="SimpleMagnetic_files/image071.png" o:title=""/> 3053 3045 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=568 3054 src="SimpleMagnetic_files/image 163.png" v:shapes="Picture_x0020_29"><![endif]></span></p>3046 src="SimpleMagnetic_files/image096.png" v:shapes="Picture_x0020_29"><![endif]></span></p> 3055 3047 3056 3048 <h3><a name="sucrose_peak_fit"></a>Step 3: Read in the chemical structure for … … 3117 3109 3118 3110 <p class=MsoNormal style='margin-left:.25in'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3119 id="Picture_x0020_46" o:spid="_x0000_i105 4" type="#_x0000_t75" style='width:210pt;3111 id="Picture_x0020_46" o:spid="_x0000_i1052" type="#_x0000_t75" style='width:210pt; 3120 3112 height:168pt;visibility:visible;mso-wrap-style:square'> 3121 3113 <v:imagedata src="SimpleMagnetic_files/image134.png" o:title=""/> 3122 3114 </v:shape><![endif]--><![if !vml]><img border=0 width=280 height=224 3123 src="SimpleMagnetic_files/image1 64.png" v:shapes="Picture_x0020_46"><![endif]></span></p>3115 src="SimpleMagnetic_files/image112.png" v:shapes="Picture_x0020_46"><![endif]></span></p> 3124 3116 3125 3117 <p class=MsoNormal style='margin-left:.25in'>Select the histogram (or press <b … … 3131 3123 The General tab for the phase is shown next<br> 3132 3124 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_47" 3133 o:spid="_x0000_i105 3" type="#_x0000_t75" style='width:448.5pt;height:228pt;3125 o:spid="_x0000_i1051" type="#_x0000_t75" style='width:448.5pt;height:228pt; 3134 3126 visibility:visible;mso-wrap-style:square'> 3135 3127 <v:imagedata src="SimpleMagnetic_files/image136.png" o:title=""/> 3136 3128 </v:shape><![endif]--><![if !vml]><img border=0 width=598 height=304 3137 src="SimpleMagnetic_files/image1 65.png" v:shapes="Picture_x0020_47"><![endif]></span></p>3129 src="SimpleMagnetic_files/image120.png" v:shapes="Picture_x0020_47"><![endif]></span></p> 3138 3130 3139 3131 <p class=MsoNormal style='margin-left:.25in'>Notice that the space group from … … 3155 3147 the Indexing controls will be shown<br> 3156 3148 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_48" 3157 o:spid="_x0000_i105 2" type="#_x0000_t75" style='width:466.5pt;height:165.75pt;3149 o:spid="_x0000_i1050" type="#_x0000_t75" style='width:466.5pt;height:165.75pt; 3158 3150 visibility:visible;mso-wrap-style:square'> 3159 3151 <v:imagedata src="SimpleMagnetic_files/image138.png" o:title=""/> 3160 3152 </v:shape><![endif]--><![if !vml]><img border=0 width=622 height=221 3161 src="SimpleMagnetic_files/image1 66.png" v:shapes="Picture_x0020_48"><![endif]></span></p>3153 src="SimpleMagnetic_files/image127.png" v:shapes="Picture_x0020_48"><![endif]></span></p> 3162 3154 3163 3155 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'>This … … 3180 3172 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'><span 3181 3173 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_49" 3182 o:spid="_x0000_i10 51" type="#_x0000_t75" style='width:466.5pt;height:165.75pt;3174 o:spid="_x0000_i1049" type="#_x0000_t75" style='width:466.5pt;height:165.75pt; 3183 3175 visibility:visible;mso-wrap-style:square'> 3184 3176 <v:imagedata src="SimpleMagnetic_files/image143.png" o:title=""/> 3185 3177 </v:shape><![endif]--><![if !vml]><img border=0 width=622 height=221 3186 src="SimpleMagnetic_files/image1 67.png" v:shapes="Picture_x0020_49"><![endif]></span><br3178 src="SimpleMagnetic_files/image128.png" v:shapes="Picture_x0020_49"><![endif]></span><br 3187 3179 style='mso-special-character:line-break'> 3188 3180 <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> … … 3202 3194 calculated reflection line positions. Zoom in on the lowest part of the pattern 3203 3195 to see details of the indexing<span style='mso-no-proof:yes'> <!--[if gte vml 1]><v:shape 3204 id="Picture_x0020_50" o:spid="_x0000_i10 50" type="#_x0000_t75" style='width:465.75pt;3196 id="Picture_x0020_50" o:spid="_x0000_i1048" type="#_x0000_t75" style='width:465.75pt; 3205 3197 height:327pt;visibility:visible;mso-wrap-style:square'> 3206 3198 <v:imagedata src="SimpleMagnetic_files/image145.png" o:title=""/> 3207 3199 </v:shape><![endif]--><![if !vml]><img border=0 width=621 height=436 3208 src="SimpleMagnetic_files/image1 68.png" v:shapes="Picture_x0020_50"><![endif]></span></p>3200 src="SimpleMagnetic_files/image129.png" v:shapes="Picture_x0020_50"><![endif]></span></p> 3209 3201 3210 3202 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Note … … 3217 3209 3218 3210 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3219 id="Picture_x0020_51" o:spid="_x0000_i104 9" type="#_x0000_t75" style='width:468.75pt;3211 id="Picture_x0020_51" o:spid="_x0000_i1047" type="#_x0000_t75" style='width:468.75pt; 3220 3212 height:329.25pt;visibility:visible;mso-wrap-style:square'> 3221 3213 <v:imagedata src="SimpleMagnetic_files/image147.png" o:title=""/> 3222 3214 </v:shape><![endif]--><![if !vml]><img border=0 width=625 height=439 3223 src="SimpleMagnetic_files/image1 69.png" v:shapes="Picture_x0020_51"><![endif]></span><br>3215 src="SimpleMagnetic_files/image130.png" v:shapes="Picture_x0020_51"><![endif]></span><br> 3224 3216 Then check the box <b style='mso-bidi-font-weight:normal'><span 3225 3217 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; … … 3230 3222 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'><span 3231 3223 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_52" 3232 o:spid="_x0000_i104 8" type="#_x0000_t75" style='width:467.25pt;height:149.25pt;3224 o:spid="_x0000_i1046" type="#_x0000_t75" style='width:467.25pt;height:149.25pt; 3233 3225 visibility:visible;mso-wrap-style:square'> 3234 3226 <v:imagedata src="SimpleMagnetic_files/image149.png" o:title=""/> 3235 3227 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=199 3236 src="SimpleMagnetic_files/image1 71.png" v:shapes="Picture_x0020_52"><![endif]></span></p>3228 src="SimpleMagnetic_files/image140.png" v:shapes="Picture_x0020_52"><![endif]></span></p> 3237 3229 3238 3230 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Because … … 3253 3245 3254 3246 <p class=MsoNormal>In the previous step we did not have to resort to any 3255 doubling of a cell axis to explain the suite of magnetic reflections, so the 3256 propagation vector is zero (in case anyone asks!). To make the magnetic cell 3257 from the chemical cell we will use the transform tool that is in GSAS-II in the 3258 Generaltab for the chemical structure. That tab is</p>3247 doubling of a cell axis to explain the suite of magnetic reflections, so the propagation 3248 vector is zero (in case anyone asks!). To make the magnetic cell from the 3249 chemical cell we will use the transform tool that is in GSAS-II in the General 3250 tab for the chemical structure. That tab is</p> 3259 3251 3260 3252 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3261 3253 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_53" 3262 o:spid="_x0000_i104 7" type="#_x0000_t75" style='width:467.25pt;height:206.25pt;3254 o:spid="_x0000_i1045" type="#_x0000_t75" style='width:467.25pt;height:206.25pt; 3263 3255 visibility:visible;mso-wrap-style:square'> 3264 3256 <v:imagedata src="SimpleMagnetic_files/image151.png" o:title=""/> 3265 3257 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=275 3266 src="SimpleMagnetic_files/image1 73.png" v:shapes="Picture_x0020_53"><![endif]></span></p>3258 src="SimpleMagnetic_files/image141.png" v:shapes="Picture_x0020_53"><![endif]></span></p> 3267 3259 3268 3260 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 3275 3267 3276 3268 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3277 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 1"3278 o:spid="_x0000_i104 6" type="#_x0000_t75" style='width:207.75pt;height:238.5pt;3269 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_78" 3270 o:spid="_x0000_i1044" type="#_x0000_t75" style='width:274.5pt;height:327pt; 3279 3271 visibility:visible;mso-wrap-style:square'> 3280 <v:imagedata src="SimpleMagnetic_files/image1 75.png" o:title=""/>3281 </v:shape><![endif]--><![if !vml]><img border=0 width= 277 height=3183282 src="SimpleMagnetic_files/image1 77.png" v:shapes="Picture_x0020_1"><![endif]></span></p>3272 <v:imagedata src="SimpleMagnetic_files/image142.png" o:title=""/> 3273 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=436 3274 src="SimpleMagnetic_files/image142.png" v:shapes="Picture_x0020_78"><![endif]></span></p> 3283 3275 3284 3276 <p class=MsoNormal>The order of operations for the transformation is given at … … 3291 3283 3292 3284 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3293 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 2"3294 o:spid="_x0000_i104 5" type="#_x0000_t75" style='width:206.25pt;height:252pt;3285 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_79" 3286 o:spid="_x0000_i1043" type="#_x0000_t75" style='width:212.25pt;height:252.75pt; 3295 3287 visibility:visible;mso-wrap-style:square'> 3296 <v:imagedata src="SimpleMagnetic_files/image1 79.png" o:title=""/>3297 </v:shape><![endif]--><![if !vml]><img border=0 width=2 75 height=3363298 src="SimpleMagnetic_files/image1 81.png" v:shapes="Picture_x0020_2"><![endif]></span></p>3288 <v:imagedata src="SimpleMagnetic_files/image144.png" o:title=""/> 3289 </v:shape><![endif]--><![if !vml]><img border=0 width=283 height=337 3290 src="SimpleMagnetic_files/image144.png" v:shapes="Picture_x0020_79"><![endif]></span></p> 3299 3291 3300 3292 <p class=MsoNormal>This allows one to select possible magnetic lattice … … 3304 3296 are using the same nonstandard space group (<span class=SpellE>Pnma</span>) for 3305 3297 the magnetic cell that is used for the chemical cell. Leave the box at the 3306 bottom about constraints checked as we want them to tie the two phases together.<span3307 style='mso-spacerun:yes'> </span>Press <b style='mso-bidi-font-weight:normal'><span 3308 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3309 m so-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Ok</span></b>3298 bottom about constraints checked as we want them to tie the two phases 3299 together.<span style='mso-spacerun:yes'> </span>Press <b style='mso-bidi-font-weight: 3300 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3301 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Ok</span></b> 3310 3302 to continue; a new popup will appear</p> 3311 3303 3312 3304 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3313 3305 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_56" 3314 o:spid="_x0000_i104 4" type="#_x0000_t75" style='width:147pt;height:65.25pt;3306 o:spid="_x0000_i1042" type="#_x0000_t75" style='width:147pt;height:65.25pt; 3315 3307 visibility:visible;mso-wrap-style:square'> 3316 3308 <v:imagedata src="SimpleMagnetic_files/image157.png" o:title=""/> 3317 3309 </v:shape><![endif]--><![if !vml]><img border=0 width=196 height=87 3318 src="SimpleMagnetic_files/image1 83.png" v:shapes="Picture_x0020_56"><![endif]></span></p>3310 src="SimpleMagnetic_files/image146.png" v:shapes="Picture_x0020_56"><![endif]></span></p> 3319 3311 3320 3312 <p class=MsoNormal>This allows one to reject certain atoms that are known to … … 3327 3319 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3328 3320 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_57" 3329 o:spid="_x0000_i104 3" type="#_x0000_t75" style='width:464.25pt;height:273.75pt;3321 o:spid="_x0000_i1041" type="#_x0000_t75" style='width:464.25pt;height:273.75pt; 3330 3322 visibility:visible;mso-wrap-style:square'> 3331 3323 <v:imagedata src="SimpleMagnetic_files/image159.png" o:title=""/> 3332 3324 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=365 3333 src="SimpleMagnetic_files/image1 85.png" v:shapes="Picture_x0020_57"><![endif]></span></p>3325 src="SimpleMagnetic_files/image148.png" v:shapes="Picture_x0020_57"><![endif]></span></p> 3334 3326 3335 3327 <p class=MsoNormal>The phase is named with mag appended to the end, the phase … … 3351 3343 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3352 3344 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_58" 3353 o:spid="_x0000_i104 2" type="#_x0000_t75" style='width:468.75pt;height:107.25pt;3345 o:spid="_x0000_i1040" type="#_x0000_t75" style='width:468.75pt;height:107.25pt; 3354 3346 visibility:visible;mso-wrap-style:square'> 3355 3347 <v:imagedata src="SimpleMagnetic_files/image170.png" o:title=""/> 3356 3348 </v:shape><![endif]--><![if !vml]><img border=0 width=625 height=143 3357 src="SimpleMagnetic_files/image1 87.png" v:shapes="Picture_x0020_58"><![endif]></span></p>3349 src="SimpleMagnetic_files/image150.png" v:shapes="Picture_x0020_58"><![endif]></span></p> 3358 3350 3359 3351 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'>Notice 3360 that <span class=SpellE>Mx</span>, My & <span class=SpellE>Mz</span> are shown3361 with 0.0 for each and the site symmetry is -1; an inversion with no spin flip 3362 allows the site to have a magnetic moment. So the all black configuration is 3363 possible on the basis of the <span class=SpellE>Mn</span> site symmetry. If you 3364 make one of the spin operators <b style='mso-bidi-font-weight:normal'><span 3365 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3366 m so-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>red</span></b>3352 that <span class=SpellE>Mx</span>, My & <span class=SpellE>Mz</span> are 3353 shown with 0.0 for each and the site symmetry is -1; an inversion with no 3354 spin flip allows the site to have a magnetic moment. So the all black 3355 configuration is possible on the basis of the <span class=SpellE>Mn</span> site 3356 symmetry. If you make one of the spin operators <b style='mso-bidi-font-weight: 3357 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3358 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>red</span></b> 3367 3359 (say <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3368 3360 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: … … 3378 3370 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3379 3371 style='mso-spacerun:yes'> </span><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3380 id="Picture_x0020_60" o:spid="_x0000_i10 41" type="#_x0000_t75" style='width:240pt;3372 id="Picture_x0020_60" o:spid="_x0000_i1039" type="#_x0000_t75" style='width:240pt; 3381 3373 height:199.5pt;visibility:visible;mso-wrap-style:square'> 3382 3374 <v:imagedata src="SimpleMagnetic_files/image172.png" o:title=""/> 3383 3375 </v:shape><![endif]--><![if !vml]><img border=0 width=320 height=266 3384 src="SimpleMagnetic_files/image1 89.png" v:shapes="Picture_x0020_60"><![endif]></span></p>3376 src="SimpleMagnetic_files/image152.png" v:shapes="Picture_x0020_60"><![endif]></span></p> 3385 3377 3386 3378 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'>The … … 3393 3385 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3394 3386 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_61" 3395 o:spid="_x0000_i10 40" type="#_x0000_t75" style='width:475.5pt;height:99.75pt;3387 o:spid="_x0000_i1038" type="#_x0000_t75" style='width:475.5pt;height:99.75pt; 3396 3388 visibility:visible;mso-wrap-style:square'> 3397 3389 <v:imagedata src="SimpleMagnetic_files/image174.png" o:title=""/> 3398 3390 </v:shape><![endif]--><![if !vml]><img border=0 width=634 height=133 3399 src="SimpleMagnetic_files/image1 91.png" v:shapes="Picture_x0020_61"><![endif]></span></p>3391 src="SimpleMagnetic_files/image153.png" v:shapes="Picture_x0020_61"><![endif]></span></p> 3400 3392 3401 3393 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>If … … 3449 3441 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3450 3442 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_64" 3451 o:spid="_x0000_i103 9" type="#_x0000_t75" style='width:519pt;height:364.5pt;3443 o:spid="_x0000_i1037" type="#_x0000_t75" style='width:519pt;height:364.5pt; 3452 3444 visibility:visible;mso-wrap-style:square'> 3453 3445 <v:imagedata src="SimpleMagnetic_files/image176.png" o:title=""/> 3454 3446 </v:shape><![endif]--><![if !vml]><img border=0 width=692 height=486 3455 src="SimpleMagnetic_files/image1 93.png" v:shapes="Picture_x0020_64"><![endif]></span></p>3447 src="SimpleMagnetic_files/image154.png" v:shapes="Picture_x0020_64"><![endif]></span></p> 3456 3448 3457 3449 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Clearly … … 3520 3512 3521 3513 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3522 id="Picture_x0020_63" o:spid="_x0000_i103 8" type="#_x0000_t75" style='width:468pt;3514 id="Picture_x0020_63" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:468pt; 3523 3515 height:89.25pt;visibility:visible;mso-wrap-style:square'> 3524 3516 <v:imagedata src="SimpleMagnetic_files/image178.png" o:title=""/> 3525 3517 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=119 3526 src="SimpleMagnetic_files/image 208.png" v:shapes="Picture_x0020_63"><![endif]></span></p>3518 src="SimpleMagnetic_files/image155.png" v:shapes="Picture_x0020_63"><![endif]></span></p> 3527 3519 3528 3520 <p class=MsoNormal>Then do <b style='mso-bidi-font-weight:normal'><span … … 3533 3525 3534 3526 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3535 id="Picture_x0020_65" o:spid="_x0000_i103 7" type="#_x0000_t75" style='width:468.75pt;3527 id="Picture_x0020_65" o:spid="_x0000_i1035" type="#_x0000_t75" style='width:468.75pt; 3536 3528 height:329.25pt;visibility:visible;mso-wrap-style:square'> 3537 3529 <v:imagedata src="SimpleMagnetic_files/image180.png" o:title=""/> 3538 3530 </v:shape><![endif]--><![if !vml]><img border=0 width=625 height=439 3539 src="SimpleMagnetic_files/image 210.png" v:shapes="Picture_x0020_65"><![endif]></span></p>3531 src="SimpleMagnetic_files/image156.png" v:shapes="Picture_x0020_65"><![endif]></span></p> 3540 3532 3541 3533 <p class=MsoNormal><span class=GramE>and</span> the magnetic moment components … … 3543 3535 3544 3536 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3545 id="Picture_x0020_66" o:spid="_x0000_i103 6" type="#_x0000_t75" style='width:471pt;3537 id="Picture_x0020_66" o:spid="_x0000_i1034" type="#_x0000_t75" style='width:471pt; 3546 3538 height:92.25pt;visibility:visible;mso-wrap-style:square'> 3547 3539 <v:imagedata src="SimpleMagnetic_files/image182.png" o:title=""/> 3548 3540 </v:shape><![endif]--><![if !vml]><img border=0 width=628 height=123 3549 src="SimpleMagnetic_files/image 212.png" v:shapes="Picture_x0020_66"><![endif]></span></p>3541 src="SimpleMagnetic_files/image158.png" v:shapes="Picture_x0020_66"><![endif]></span></p> 3550 3542 3551 3543 <p class=MsoNormal>So we test the next possibility.</p> … … 3596 3588 3597 3589 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3598 id="Picture_x0020_67" o:spid="_x0000_i103 5" type="#_x0000_t75" style='width:472.5pt;3590 id="Picture_x0020_67" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:472.5pt; 3599 3591 height:331.5pt;visibility:visible;mso-wrap-style:square'> 3600 3592 <v:imagedata src="SimpleMagnetic_files/image184.png" o:title=""/> 3601 3593 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=442 3602 src="SimpleMagnetic_files/image 214.png" v:shapes="Picture_x0020_67"><![endif]></span></p>3594 src="SimpleMagnetic_files/image160.png" v:shapes="Picture_x0020_67"><![endif]></span></p> 3603 3595 3604 3596 <p class=MsoNormal>The <b style='mso-bidi-font-weight:normal'><span … … 3610 3602 3611 3603 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3612 id="Picture_x0020_68" o:spid="_x0000_i103 4" type="#_x0000_t75" style='width:472.5pt;3604 id="Picture_x0020_68" o:spid="_x0000_i1032" type="#_x0000_t75" style='width:472.5pt; 3613 3605 height:88.5pt;visibility:visible;mso-wrap-style:square'> 3614 3606 <v:imagedata src="SimpleMagnetic_files/image186.png" o:title=""/> 3615 3607 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=118 3616 src="SimpleMagnetic_files/image 218.png" v:shapes="Picture_x0020_68"><![endif]></span></p>3608 src="SimpleMagnetic_files/image175.png" v:shapes="Picture_x0020_68"><![endif]></span></p> 3617 3609 3618 3610 <p class=MsoNormal>Lets test the next one.</p> … … 3661 3653 3662 3654 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3663 id="Picture_x0020_69" o:spid="_x0000_i103 3" type="#_x0000_t75" style='width:471.75pt;3655 id="Picture_x0020_69" o:spid="_x0000_i1031" type="#_x0000_t75" style='width:471.75pt; 3664 3656 height:330.75pt;visibility:visible;mso-wrap-style:square'> 3665 3657 <v:imagedata src="SimpleMagnetic_files/image188.png" o:title=""/> 3666 3658 </v:shape><![endif]--><![if !vml]><img border=0 width=629 height=441 3667 src="SimpleMagnetic_files/image 219.png" v:shapes="Picture_x0020_69"><![endif]></span></p>3659 src="SimpleMagnetic_files/image179.png" v:shapes="Picture_x0020_69"><![endif]></span></p> 3668 3660 3669 3661 <p class=MsoNormal>The <b style='mso-bidi-font-weight:normal'><span … … 3674 3666 3675 3667 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3676 id="Picture_x0020_70" o:spid="_x0000_i103 2" type="#_x0000_t75" style='width:472.5pt;3668 id="Picture_x0020_70" o:spid="_x0000_i1030" type="#_x0000_t75" style='width:472.5pt; 3677 3669 height:94.5pt;visibility:visible;mso-wrap-style:square'> 3678 3670 <v:imagedata src="SimpleMagnetic_files/image190.png" o:title=""/> 3679 3671 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=126 3680 src="SimpleMagnetic_files/image 220.png" v:shapes="Picture_x0020_70"><![endif]></span></p>3672 src="SimpleMagnetic_files/image194.png" v:shapes="Picture_x0020_70"><![endif]></span></p> 3681 3673 3682 3674 <p class=MsoNormal>We should now check the last spin configuration.</p> … … 3723 3715 3724 3716 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3725 id="Picture_x0020_71" o:spid="_x0000_i10 31" type="#_x0000_t75" style='width:474.75pt;3717 id="Picture_x0020_71" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:474.75pt; 3726 3718 height:333pt;visibility:visible;mso-wrap-style:square'> 3727 3719 <v:imagedata src="SimpleMagnetic_files/image192.png" o:title=""/> 3728 3720 </v:shape><![endif]--><![if !vml]><img border=0 width=633 height=444 3729 src="SimpleMagnetic_files/image 221.png" v:shapes="Picture_x0020_71"><![endif]></span></p>3721 src="SimpleMagnetic_files/image195.png" v:shapes="Picture_x0020_71"><![endif]></span></p> 3730 3722 3731 3723 <p class=MsoNormal><span class=GramE>and</span> with the strong <span … … 3734 3726 3735 3727 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3736 id="Picture_x0020_72" o:spid="_x0000_i10 30" type="#_x0000_t75" style='width:477pt;3728 id="Picture_x0020_72" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:477pt; 3737 3729 height:81pt;visibility:visible;mso-wrap-style:square'> 3738 3730 <v:imagedata src="SimpleMagnetic_files/image206.png" o:title=""/> 3739 3731 </v:shape><![endif]--><![if !vml]><img border=0 width=636 height=108 3740 src="SimpleMagnetic_files/image 222.png" v:shapes="Picture_x0020_72"><![endif]></span></p>3732 src="SimpleMagnetic_files/image196.png" v:shapes="Picture_x0020_72"><![endif]></span></p> 3741 3733 3742 3734 <p class=MsoNormal><o:p> </o:p></p> … … 3797 3789 3798 3790 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3799 id="Picture_x0020_73" o:spid="_x0000_i102 9" type="#_x0000_t75" style='width:237.75pt;3791 id="Picture_x0020_73" o:spid="_x0000_i1027" type="#_x0000_t75" style='width:237.75pt; 3800 3792 height:510.75pt;visibility:visible;mso-wrap-style:square'> 3801 3793 <v:imagedata src="SimpleMagnetic_files/image209.png" o:title=""/> 3802 3794 </v:shape><![endif]--><![if !vml]><img border=0 width=317 height=681 3803 src="SimpleMagnetic_files/image 223.png" v:shapes="Picture_x0020_73"><![endif]><!--[if gte vml 1]><v:shape3804 id="Picture_x0020_74" o:spid="_x0000_i102 8" type="#_x0000_t75" style='width:239.25pt;3795 src="SimpleMagnetic_files/image197.png" v:shapes="Picture_x0020_73"><![endif]><!--[if gte vml 1]><v:shape 3796 id="Picture_x0020_74" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:239.25pt; 3805 3797 height:510pt;visibility:visible;mso-wrap-style:square'> 3806 3798 <v:imagedata src="SimpleMagnetic_files/image211.png" o:title=""/> 3807 3799 </v:shape><![endif]--><![if !vml]><img border=0 width=319 height=680 3808 src="SimpleMagnetic_files/image 224.png" v:shapes="Picture_x0020_74"><![endif]></span></p>3800 src="SimpleMagnetic_files/image198.png" v:shapes="Picture_x0020_74"><![endif]></span></p> 3809 3801 3810 3802 <p class=MsoNormal>The magnetic peaks contributing to this peak are the 200,221 … … 3818 3810 3819 3811 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3820 id="Picture_x0020_75" o:spid="_x0000_i102 7" type="#_x0000_t75" style='width:474pt;3812 id="Picture_x0020_75" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:474pt; 3821 3813 height:501.75pt;visibility:visible;mso-wrap-style:square'> 3822 3814 <v:imagedata src="SimpleMagnetic_files/image213.png" o:title=""/> 3823 3815 </v:shape><![endif]--><![if !vml]><img border=0 width=632 height=669 3824 src="SimpleMagnetic_files/image 225.png" v:shapes="Picture_x0020_75"><![endif]></span></p>3816 src="SimpleMagnetic_files/image199.png" v:shapes="Picture_x0020_75"><![endif]></span></p> 3825 3817 3826 3818 <p class=MsoNormal><span class=GramE>which</span> shows that the ferromagnetic -
Tutorials/SimpleMagnetic/SimpleMagnetic_files/filelist.xml
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HRef="image199.png"/> 154 147 <o:File HRef="filelist.xml"/> 155 148 </xml>
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