Changeset 3623
- Timestamp:
- Sep 27, 2018 9:40:55 AM (5 years ago)
- Location:
- Tutorials/SimpleMagnetic
- Files:
-
- 69 added
- 71 deleted
- 9 edited
Legend:
- Unmodified
- Added
- Removed
-
Tutorials/SimpleMagnetic/SimpleMagnetic.htm
r3611 r3623 23 23 <o:Author>Von Dreele</o:Author> 24 24 <o:LastAuthor>vondreele</o:LastAuthor> 25 <o:Revision>2 3</o:Revision>26 <o:TotalTime>6 294</o:TotalTime>25 <o:Revision>26</o:Revision> 26 <o:TotalTime>6370</o:TotalTime> 27 27 <o:Created>2017-08-09T17:16:00Z</o:Created> 28 <o:LastSaved>2018-09- 19T17:37:00Z</o:LastSaved>29 <o:Pages>4 9</o:Pages>30 <o:Words>5 893</o:Words>31 <o:Characters>33 592</o:Characters>28 <o:LastSaved>2018-09-27T14:38:00Z</o:LastSaved> 29 <o:Pages>43</o:Pages> 30 <o:Words>5925</o:Words> 31 <o:Characters>33774</o:Characters> 32 32 <o:Company>Argonne National Laboratory</o:Company> 33 <o:Lines>2 79</o:Lines>34 <o:Paragraphs>7 8</o:Paragraphs>35 <o:CharactersWithSpaces>39 407</o:CharactersWithSpaces>33 <o:Lines>281</o:Lines> 34 <o:Paragraphs>79</o:Paragraphs> 35 <o:CharactersWithSpaces>39620</o:CharactersWithSpaces> 36 36 <o:Version>16.00</o:Version> 37 37 </o:DocumentProperties> … … 1721 1721 1722 1722 <p class=MsoNormal>To have this result, one assumes that the neutron beam is 1723 not polarized , the sample has no texture and there is only elastic scattering.1724 The first term is the ordinary nuclear structure factor found for all 1725 crystalline materials and the second is the magnetic scattering. Note that the 1726 result is a sum of squares implying that the nuclear and magnetic scattering 1727 intensities are summed to give the total that is measured in a magnetic powder 1728 diffraction experiment. This allows us to model the structure as two separate1729 c rystalline phases; one consists of the arrangement of all the atoms in the1730 crystal structure described with a conventional unit cell and space group (the 1731 chemical or sometimes "nuclear" structure), and the other contains1732 only the magnetic atoms in a perhaps different unit cell with a magnetic space1733 group to describe the atom and magnetic moment arrangement (the magnetic 1734 structure). Needless to say the magnetic ions only have one set of positions, 1735 both phases must describe the same atomic arrangement; positions of the 1736 magnetic ions will be linked, as needed, by constraints between the phases in 1737 order to maintain thisarrangement.</p>1723 not polarized and there is only elastic scattering. The first term is the 1724 ordinary nuclear structure factor found for all crystalline materials and the 1725 second is the magnetic scattering. Note that the result is a sum of squares 1726 implying that the nuclear and magnetic scattering intensities are summed to 1727 give the total that is measured in a magnetic powder diffraction experiment. 1728 This allows us to model the structure as two separate crystalline phases; one 1729 consists of the arrangement of all the atoms in the crystal structure described 1730 with a conventional unit cell and space group (the chemical or sometimes 1731 "nuclear" structure), and the other contains only the magnetic atoms 1732 in a perhaps different unit cell with a magnetic space group to describe the 1733 atom and magnetic moment arrangement (the magnetic structure). Needless to say 1734 the magnetic ions only have one set of positions, both phases must describe the 1735 same atomic arrangement; positions of the magnetic ions will be linked, as 1736 needed, by constraints between the phases in order to maintain this 1737 arrangement.</p> 1738 1738 1739 1739 <p class=MsoNormal><o:p> </o:p></p> … … 1754 1754 style='mso-bidi-font-style:normal'>f<sub>m</sub></i></span>), the magnetic 1755 1755 moment magnitude (<i style='mso-bidi-font-style:normal'>S<sub>m</sub></i>) and 1756 a scaling factor ~0.539x10<sup>-12</sup> cm whichis on the same scale as the1756 a scaling factor ~0.539x10<sup>-12</sup> cm and is on the same scale as the 1757 1757 normal neutron scattering lengths. Thus, magnetic scattering intensities are 1758 1758 similar to those from the chemical structure. The first term (<span … … 1803 1803 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>xye</span></b></span> 1804 1804 format (angles in degrees) used by <span class=SpellE>Topas</span>, etc.<span 1805 style='mso-spacerun:yes'> </span>In those cases, you would change the file 1806 directory to <span class=SpellE><b style='mso-bidi-font-weight:normal'><span 1807 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 1808 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>cif</span></b></span> 1809 format or the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span 1810 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 1811 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>xye</span></b></span> 1812 format (angles in degrees) used by <span class=SpellE>Topas</span>, etc. to see 1813 them. Because you used <span style='mso-fareast-font-family:Calibri;mso-fareast-theme-font: 1814 minor-latin'>the </span><b style='mso-bidi-font-weight:normal'><span 1805 style='mso-spacerun:yes'> </span>Because you used <span style='mso-fareast-font-family: 1806 Calibri;mso-fareast-theme-font:minor-latin'>the </span><b style='mso-bidi-font-weight: 1807 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 1808 minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; 1809 mso-hansi-theme-font:minor-latin'>Help/Download tutorial</span></b><span 1810 style='mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin'> 1811 menu entry to open this page and downloaded the exercise files (recommended), 1812 then the </span><span class=SpellE><b style='mso-bidi-font-weight:normal'><span 1815 1813 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 1816 1814 mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font: 1817 minor-latin'>Help/Download tutorial</span></b><span style='mso-fareast-font-family: 1818 Calibri;mso-fareast-theme-font:minor-latin'> menu entry to open this page and 1819 downloaded the exercise files (recommended), then the </span><span 1820 class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: 1821 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: 1822 Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SimpleMagnetic</span></b></span><b 1823 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 1824 mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: 1825 minor-latin;mso-hansi-theme-font:minor-latin'>/data/...</span></b><span 1826 style='mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin'> 1827 entry will bring you to the location where the files have been downloaded. (It is 1828 also possible to download them manually from <a 1815 minor-latin'>SimpleMagnetic</span></b></span><b style='mso-bidi-font-weight: 1816 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 1817 minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; 1818 mso-hansi-theme-font:minor-latin'>/data/...</span></b><span style='mso-fareast-font-family: 1819 Calibri;mso-fareast-theme-font:minor-latin'> entry will bring you to the 1820 location where the files have been downloaded. (It is also possible to download 1821 them manually from <a 1829 1822 href="https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/SimpleMagnetic/data/">https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/SimpleMagnetic/data/</a>. 1830 1823 In this case you will need to navigate to the download location manually.)<br> … … 1878 1871 <v:imagedata src="SimpleMagnetic_files/image005.png" o:title=""/> 1879 1872 </v:shape><![endif]--><![if !vml]><img border=0 width=426 height=289 1880 src="SimpleMagnetic_files/image0 03.png" v:shapes="Picture_x0020_3"><![endif]></span></h2>1873 src="SimpleMagnetic_files/image037.png" v:shapes="Picture_x0020_3"><![endif]></span></h2> 1881 1874 1882 1875 <p class=MsoNormal><span class=GramE>and</span> the plot window will show the … … 1884 1877 1885 1878 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1886 id="Picture_x0020_4" o:spid="_x0000_i1096" type="#_x0000_t75" style='width: 468pt;1887 height: 401.25pt;visibility:visible;mso-wrap-style:square'>1879 id="Picture_x0020_4" o:spid="_x0000_i1096" type="#_x0000_t75" style='width:359.25pt; 1880 height:307.5pt;visibility:visible;mso-wrap-style:square'> 1888 1881 <v:imagedata src="SimpleMagnetic_files/image007.png" o:title=""/> 1889 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=5351890 src="SimpleMagnetic_files/image0 04.png" v:shapes="Picture_x0020_4"><![endif]></span></p>1882 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=410 1883 src="SimpleMagnetic_files/image047.png" v:shapes="Picture_x0020_4"><![endif]></span></p> 1891 1884 1892 1885 <h3>Step 2: Select Limits </h3> … … 1925 1918 1926 1919 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1927 id="Picture_x0020_5" o:spid="_x0000_i1095" type="#_x0000_t75" style='width: 468pt;1928 height: 401.25pt;visibility:visible;mso-wrap-style:square'>1920 id="Picture_x0020_5" o:spid="_x0000_i1095" type="#_x0000_t75" style='width:5in; 1921 height:308.25pt;visibility:visible;mso-wrap-style:square'> 1929 1922 <v:imagedata src="SimpleMagnetic_files/image009.png" o:title=""/> 1930 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=5351931 src="SimpleMagnetic_files/image0 06.png" v:shapes="Picture_x0020_5"><![endif]></span></p>1923 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=411 1924 src="SimpleMagnetic_files/image051.png" v:shapes="Picture_x0020_5"><![endif]></span></p> 1932 1925 1933 1926 <h3>Step 3: Read in the chemical structure for LaMnO<sub>3</sub></h3> … … 1940 1933 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 1941 1934 minor-latin'>Import/Phase/from CIF file</span></b> menu item to read the phase 1942 information for LaMnO<sub>3</sub> into the current GSAS-II project. This read option1943 is set to read Crystallographic Information Files (CIF). Other submenu items 1944 will read phase information in other formats.<span style='mso-spacerun:yes'> 1945 </span>Because you used <span style='mso-fareast-font-family:Calibri; 1946 mso-fareast-theme-font:minor-latin'>the </span><b style='mso-bidi-font-weight:1935 information for LaMnO<sub>3</sub> into the current GSAS-II project. This read 1936 option is set to read Crystallographic Information Files (CIF). Other submenu 1937 items will read phase information in other formats.<span 1938 style='mso-spacerun:yes'> </span>Because you used <span style='mso-fareast-font-family: 1939 Calibri;mso-fareast-theme-font:minor-latin'>the </span><b style='mso-bidi-font-weight: 1947 1940 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 1948 1941 minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; … … 2012 2005 minor-latin'>OK</span></b>. The General tab for the phase is shown next<br> 2013 2006 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_7" 2014 o:spid="_x0000_i1093" type="#_x0000_t75" style='width: 404.25pt;height:208.5pt;2007 o:spid="_x0000_i1093" type="#_x0000_t75" style='width:340.5pt;height:175.5pt; 2015 2008 visibility:visible;mso-wrap-style:square'> 2016 2009 <v:imagedata src="SimpleMagnetic_files/image012.png" o:title=""/> 2017 </v:shape><![endif]--><![if !vml]><img border=0 width= 539 height=2782018 src="SimpleMagnetic_files/image0 08.png" v:shapes="Picture_x0020_7"><![endif]></span></p>2010 </v:shape><![endif]--><![if !vml]><img border=0 width=454 height=234 2011 src="SimpleMagnetic_files/image078.png" v:shapes="Picture_x0020_7"><![endif]></span></p> 2019 2012 2020 2013 <h3>Step 4. Check powder pattern indexing</h3> … … 2033 2026 histogram (begins with PWDR); the Indexing controls will be shown<br> 2034 2027 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_8" 2035 o:spid="_x0000_i1092" type="#_x0000_t75" style='width: 407.25pt;height:146.25pt;2028 o:spid="_x0000_i1092" type="#_x0000_t75" style='width:341.25pt;height:122.25pt; 2036 2029 visibility:visible;mso-wrap-style:square'> 2037 2030 <v:imagedata src="SimpleMagnetic_files/image014.png" o:title=""/> 2038 </v:shape><![endif]--><![if !vml]><img border=0 width= 543 height=1952039 src="SimpleMagnetic_files/image0 10.png" v:shapes="Picture_x0020_8"><![endif]></span></p>2031 </v:shape><![endif]--><![if !vml]><img border=0 width=455 height=163 2032 src="SimpleMagnetic_files/image080.png" v:shapes="Picture_x0020_8"><![endif]></span></p> 2040 2033 2041 2034 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2042 auto'>This can be use lattice parameters & space groups to generate expected2043 reflectionpositions to check against the peaks in the powder pattern. </p>2035 auto'>This can use lattice parameters & space groups to generate expected reflection 2036 positions to check against the peaks in the powder pattern. </p> 2044 2037 2045 2038 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2059 2052 than one depending on what you loaded/created earlier. The <b style='mso-bidi-font-weight: 2060 2053 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2061 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'> Import</span></b>2062 menu item allows you to get lattice information from any one of the other phase 2063 containing files known to GSAS-II. Press <b style='mso-bidi-font-weight:normal'><span 2064 style=' font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;2065 mso- hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>OK</span></b>2066 and the Indexing controls will be change<br>2067 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 9"2068 o:spid="_x0000_i1091" type="#_x0000_t75" style='width: 411pt;height:147.75pt;2054 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Cell 2055 Index/Refine/Import</span></b> menu item allows you to get lattice information 2056 from any one of the other phase containing files known to GSAS-II. Press <b 2057 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2058 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 2059 minor-latin'>OK</span></b> and the Indexing controls will be change<br> 2060 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_76" 2061 o:spid="_x0000_i1091" type="#_x0000_t75" style='width:345pt;height:109.5pt; 2069 2062 visibility:visible;mso-wrap-style:square'> 2070 <v:imagedata src="SimpleMagnetic_files/image0 16.png" o:title=""/>2071 </v:shape><![endif]--><![if !vml]><img border=0 width= 548 height=1972072 src="SimpleMagnetic_files/image0 13.png" v:shapes="Picture_x0020_9"><![endif]></span><br>2073 showing the lattice constants for LaMnO 3you had obtained from the <span2074 class=SpellE>cif</span> file. Note that the space group is set to that of the <span2075 class=SpellE>Bravais</span> lattice (P m <span class=SpellE>m</span> m) and not 2076 the space group for LaMnO3 (P n m a).</p>2063 <v:imagedata src="SimpleMagnetic_files/image084.png" o:title=""/> 2064 </v:shape><![endif]--><![if !vml]><img border=0 width=460 height=146 2065 src="SimpleMagnetic_files/image081.png" v:shapes="Picture_x0020_76"><![endif]></span><br> 2066 showing the lattice constants for LaMnO<sub>3</sub> you had obtained from the <span 2067 class=SpellE>cif</span> file. Note that the space group is set to that of the space 2068 group for LaMnO<sub>3</sub> (P n m a) and the lines will reflect the extinction 2069 rules for this space group. </p> 2077 2070 2078 2071 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2079 2072 auto;text-indent:-.25in;mso-list:l0 level1 lfo6'><![if !supportLists]><span 2080 2073 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 2081 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Press 2082 the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2083 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 2084 minor-latin'>Show <span class=SpellE>hkl</span> positions</span></b> button; 2085 after a short pause (while reflections are generated), the plot will show the 2086 calculated reflection line positions.<br> 2087 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_10" 2088 o:spid="_x0000_i1090" type="#_x0000_t75" style='width:414pt;height:354.75pt; 2074 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Change 2075 the space group to <b style='mso-bidi-font-weight:normal'><span 2076 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2077 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>P m <span 2078 class=SpellE>m</span> <span class=SpellE>m</span></span></b> to see all the 2079 lines for this lattice (near the bottom of the pull down); the indexing will 2080 immediately change<br style='mso-special-character:line-break'> 2081 <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> 2082 <![endif]></p> 2083 2084 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2085 auto'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_10" 2086 o:spid="_x0000_i1090" type="#_x0000_t75" style='width:342pt;height:293.25pt; 2089 2087 visibility:visible;mso-wrap-style:square'> 2090 2088 <v:imagedata src="SimpleMagnetic_files/image018.png" o:title=""/> 2091 </v:shape><![endif]--><![if !vml]><img border=0 width= 552 height=4732092 src="SimpleMagnetic_files/image0 15.png" v:shapes="Picture_x0020_10"><![endif]></span></p>2089 </v:shape><![endif]--><![if !vml]><img border=0 width=456 height=391 2090 src="SimpleMagnetic_files/image082.png" v:shapes="Picture_x0020_10"><![endif]></span></p> 2093 2091 2094 2092 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2095 2093 auto'>This is the reflection set for the <span class=SpellE>Bravais</span><span 2096 2094 style='mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin'> 2097 lattice <span class=SpellE>Pmmm</span> which includes <span class=SpellE>relections</span>2098 that may be space group extinct and/or magnetically extinct. N.B., a reflection 2099 that is extinct due to the chemical structure space group could still be 2100 allowed for magnetic scattering.<o:p></o:p></span></p>2095 lattice <span class=SpellE>Pmmm</span> which includes reflections that may be 2096 space group extinct and/or magnetically extinct. N.B., a reflection that is 2097 extinct due to the chemical structure space group could still be allowed for 2098 magnetic scattering.</span></p> 2101 2099 2102 2100 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2106 2104 in on the lowest part of the pattern to see details of the indexing<br> 2107 2105 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_11" 2108 o:spid="_x0000_i1089" type="#_x0000_t75" style='width: 411pt;height:352.5pt;2106 o:spid="_x0000_i1089" type="#_x0000_t75" style='width:340.5pt;height:291.75pt; 2109 2107 visibility:visible;mso-wrap-style:square'> 2110 2108 <v:imagedata src="SimpleMagnetic_files/image020.png" o:title=""/> 2111 </v:shape><![endif]--><![if !vml]><img border=0 width= 548 height=4702112 src="SimpleMagnetic_files/image0 17.png" v:shapes="Picture_x0020_11"><![endif]></span></p>2109 </v:shape><![endif]--><![if !vml]><img border=0 width=454 height=389 2110 src="SimpleMagnetic_files/image083.png" v:shapes="Picture_x0020_11"><![endif]></span></p> 2113 2111 2114 2112 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2121 2119 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>5.<span 2122 2120 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Change 2123 the space group to <b style='mso-bidi-font-weight:normal'><span 2124 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2125 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>P n m a</span></b> 2126 (near the bottom of the pull down); the indexing will immediately change<br> 2127 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_12" 2128 o:spid="_x0000_i1088" type="#_x0000_t75" style='width:408pt;height:349.5pt; 2129 visibility:visible;mso-wrap-style:square'> 2121 the space group back to <b style='mso-bidi-font-weight:normal'><span 2122 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2123 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>P m n a</span></b> 2124 (near the bottom of the pull down); the indexing will immediately change</p> 2125 2126 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2127 auto'><span style='mso-no-proof:yes'><span style='mso-spacerun:yes'> </span><!--[if gte vml 1]><v:shape 2128 id="Picture_x0020_12" o:spid="_x0000_i1088" type="#_x0000_t75" style='width:342pt; 2129 height:293.25pt;visibility:visible;mso-wrap-style:square'> 2130 2130 <v:imagedata src="SimpleMagnetic_files/image022.png" o:title=""/> 2131 </v:shape><![endif]--><![if !vml]><img border=0 width= 544 height=4662132 src="SimpleMagnetic_files/image0 19.png" v:shapes="Picture_x0020_12"><![endif]></span><br>2131 </v:shape><![endif]--><![if !vml]><img border=0 width=456 height=391 2132 src="SimpleMagnetic_files/image085.png" v:shapes="Picture_x0020_12"><![endif]></span><br> 2133 2133 Notice that the 1<sup>st</sup> peak (as well as the contaminant) is no longer 2134 indexed; this is likely to be a magnetic only peak as expected from an2135 antiferromagnet; there is another at ~34.4°2Θ. Reset the space group to <b 2136 s tyle='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;2137 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:2138 minor-latin '>P m <span class=SpellE>m</span> <span class=SpellE>m</span></span></b>2139 and put the cursor on these two in turn; a popup box will tell you they are the 2140 (0,1,0) and (0,1,2) reflections. The two straddling the contaminating peak are 2141 the (1<span class=GramE>,0,0</span>) and (0,0,1) reflections; they may be 2142 magnetically extinct. There are others that show for <span class=SpellE>Pmmm</span> 2143 but vanish for <span class=SpellE>Pnma</span> and have no visible intensity. We 2144 dont know yet if they are magnetically allowed or are zero because of the 2145 magnetic moment direction.</p>2134 indexed; this is likely to be a <span class=GramE>magnetic</span> only peak as 2135 expected from an antiferromagnet; there is another at ~34.4°2Θ. Reset the 2136 space group to <b style='mso-bidi-font-weight:normal'><span style='font-family: 2137 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 2138 minor-latin;mso-bidi-theme-font:minor-latin'>P m <span class=SpellE>m</span> <span 2139 class=SpellE>m</span></span></b> and put the cursor on these two in turn; a 2140 popup box will tell you they are the (0,1,0) and (0,1,2) reflections. The two 2141 straddling the contaminating peak are the (1<span class=GramE>,0,0</span>) and 2142 (0,0,1) reflections; they may be magnetically extinct. There are others that 2143 show for <span class=SpellE>Pmmm</span> but vanish for <span class=SpellE>Pnma</span> 2144 and have no visible intensity. We dont know yet if they are magnetically 2145 allowed or are zero because of the magnetic moment direction.</p> 2146 2146 2147 2147 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2159 2159 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2160 2160 auto'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_13" 2161 o:spid="_x0000_i1087" type="#_x0000_t75" style='width: 405pt;height:146.25pt;2161 o:spid="_x0000_i1087" type="#_x0000_t75" style='width:339.75pt;height:123pt; 2162 2162 visibility:visible;mso-wrap-style:square'> 2163 2163 <v:imagedata src="SimpleMagnetic_files/image024.png" o:title=""/> 2164 </v:shape><![endif]--><![if !vml]><img border=0 width= 540 height=1952165 src="SimpleMagnetic_files/image0 21.png" v:shapes="Picture_x0020_13"><![endif]></span></p>2164 </v:shape><![endif]--><![if !vml]><img border=0 width=453 height=164 2165 src="SimpleMagnetic_files/image086.png" v:shapes="Picture_x0020_13"><![endif]></span></p> 2166 2166 2167 2167 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2207 2207 <v:imagedata src="SimpleMagnetic_files/image026.png" o:title=""/> 2208 2208 </v:shape><![endif]--><![if !vml]><img border=0 width=256 height=214 2209 src="SimpleMagnetic_files/image0 23.png" v:shapes="Picture_x0020_14"><![endif]></span></p>2209 src="SimpleMagnetic_files/image087.png" v:shapes="Picture_x0020_14"><![endif]></span></p> 2210 2210 2211 2211 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2219 2219 <v:imagedata src="SimpleMagnetic_files/image028.png" o:title=""/> 2220 2220 </v:shape><![endif]--><![if !vml]><img border=0 width=256 height=214 2221 src="SimpleMagnetic_files/image0 25.png" v:shapes="Picture_x0020_15"><![endif]></span></p>2221 src="SimpleMagnetic_files/image088.png" v:shapes="Picture_x0020_15"><![endif]></span></p> 2222 2222 2223 2223 <p class=MsoListParagraphCxSpLast style='margin-left:.25in;mso-add-space:auto'>It 2224 2224 is worthwhile noticing that the inversion operator (-1) is red in the latter 2225 2225 but not in the former since an atom at an inversion center cannot have a 2226 magnetic moment if there is also spin inversion. More about this later. Press <b 2226 magnetic moment if there is also spin inversion. More about this later. One 2227 other point is that certain space groups (e.g. P 2<sub>1</sub>2<sub>1</sub>2<sub>1</sub>) 2228 only allow an even number of spin inversions; GSAS-II will always enforce this 2229 by setting the spin flags accordingly, so getting a desired arrangement might 2230 take a bit of trial-and-error selection to get what you want. Press <b 2227 2231 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2228 2232 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: … … 2236 2240 <p class=MsoNormal>In the previous step we did not have to resort to any 2237 2241 doubling of a cell axis to explain the suite of magnetic reflections, so the 2238 propagation vector is zero ( in case anyone asks!). To make the magnetic cell2239 from the chemical cell we will use the transform tool that is in GSAS-II in the 2240 General tab for the chemical structure. That tab is</p>2241 2242 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2243 id="Picture_x0020_16" o:spid="_x0000_i1084" type="#_x0000_t75" style='width: 468pt;2244 height: 230.25pt;visibility:visible;mso-wrap-style:square'>2242 propagation vector is zero (we will see this in later magnetic tutorials). To 2243 make the magnetic cell from the chemical cell we will use the transform tool 2244 that is in GSAS-II in the General tab for the chemical structure. That tab is</p> 2245 2246 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2247 id="Picture_x0020_16" o:spid="_x0000_i1084" type="#_x0000_t75" style='width:359.25pt; 2248 height:177pt;visibility:visible;mso-wrap-style:square'> 2245 2249 <v:imagedata src="SimpleMagnetic_files/image030.png" o:title=""/> 2246 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=3072247 src="SimpleMagnetic_files/image0 27.png" v:shapes="Picture_x0020_16"><![endif]></span></p>2250 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=236 2251 src="SimpleMagnetic_files/image089.png" v:shapes="Picture_x0020_16"><![endif]></span></p> 2248 2252 2249 2253 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 2256 2260 2257 2261 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2258 id="Picture_x0020_7 9" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:274.5pt;2262 id="Picture_x0020_78" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:274.5pt; 2259 2263 height:315pt;visibility:visible;mso-wrap-style:square'> 2260 <v:imagedata src="SimpleMagnetic_files/image09 2.png" o:title=""/>2264 <v:imagedata src="SimpleMagnetic_files/image097.png" o:title=""/> 2261 2265 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=420 2262 src="SimpleMagnetic_files/image09 2.png" v:shapes="Picture_x0020_79"><![endif]></span></p>2266 src="SimpleMagnetic_files/image097.png" v:shapes="Picture_x0020_78"><![endif]></span></p> 2263 2267 2264 2268 <p class=MsoNormal>The order of operations for the transformation is given at … … 2302 2306 2303 2307 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2304 id="Picture_x0020_80" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:274.5pt; 2305 height:336pt;visibility:visible;mso-wrap-style:square'> 2306 <v:imagedata src="SimpleMagnetic_files/image093.png" o:title=""/> 2307 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=448 2308 src="SimpleMagnetic_files/image093.png" v:shapes="Picture_x0020_80"><![endif]></span></p> 2309 2310 <p class=MsoNormal>This allows one to select possible magnetic lattice 2311 centering operations as given by the BNS nomenclature. This can be needed if 2312 one had discovered a requirement of doubling a cell axis in the previous step (e.g. 2313 a nonzero propagation vector). This is not required in this case and we are 2314 using the space group (<span class=SpellE>Pnma</span>) for the magnetic cell. 2315 Leave the box at the bottom about constraints checked as we want them to tie 2316 the two phases together.<span style='mso-spacerun:yes'> </span>Press <b 2317 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2318 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 2319 minor-latin'>Ok</span></b> to continue; a new popup will appear</p> 2320 2321 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2322 id="_x0000_i1081" type="#_x0000_t75" style='width:181.5pt;height:80.25pt; 2323 visibility:visible;mso-wrap-style:square'> 2324 <v:imagedata src="SimpleMagnetic_files/image034.png" o:title=""/> 2325 </v:shape><![endif]--><![if !vml]><img border=0 width=242 height=107 2326 src="SimpleMagnetic_files/image034.png" v:shapes="_x0000_i1081"><![endif]></span></p> 2308 id="Picture_x0020_79" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:296.25pt; 2309 height:348pt;visibility:visible;mso-wrap-style:square'> 2310 <v:imagedata src="SimpleMagnetic_files/image098.png" o:title=""/> 2311 </v:shape><![endif]--><![if !vml]><img border=0 width=395 height=464 2312 src="SimpleMagnetic_files/image098.png" v:shapes="Picture_x0020_79"><![endif]></span></p> 2313 2314 <p class=MsoNormal>This allows one to select possible magnetic spin inversions 2315 and lattice centering operations as given by the BNS nomenclature. This can be 2316 needed if one had discovered a requirement of doubling a cell axis in the 2317 previous step (e.g. a nonzero propagation vector). This is not required in this 2318 case and we are using the space group (<span class=SpellE>Pnma</span>) for the 2319 magnetic cell; we will be setting the spins (<span class=SpellE>mx<span 2320 class=GramE>,my,mz</span></span>) later as well. Leave the box at the bottom 2321 about constraints checked as we want them to tie the two phases together.<span 2322 style='mso-spacerun:yes'> </span>Press <b style='mso-bidi-font-weight:normal'><span 2323 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2324 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Ok</span></b> 2325 to continue; a new popup will appear</p> 2326 2327 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2328 id="Picture_x0020_80" o:spid="_x0000_i1081" type="#_x0000_t75" style='width:258pt; 2329 height:92.25pt;visibility:visible;mso-wrap-style:square'> 2330 <v:imagedata src="SimpleMagnetic_files/image099.png" o:title=""/> 2331 </v:shape><![endif]--><![if !vml]><img border=0 width=344 height=123 2332 src="SimpleMagnetic_files/image099.png" v:shapes="Picture_x0020_80"><![endif]></span></p> 2333 2334 <p class=MsoNormal>You see the magnetic atom position, allowed <span 2335 class=SpellE>magntic</span> moments and magnetic site symmetry.</p> 2327 2336 2328 2337 <p class=MsoNormal>This allows one to reject certain atoms that are known to 2329 not be magnetic; press <b style='mso-bidi-font-weight:normal'><span 2330 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2331 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Ok</span></b> 2332 to continue. A new phase will be created and the General tab for it will be 2333 shown.</p> 2334 2335 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2336 id="_x0000_i1080" type="#_x0000_t75" style='width:468pt;height:270pt; 2338 not be magnetic; press <span class=GramE><b style='mso-bidi-font-weight:normal'><span 2339 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2340 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Yes</span></b></span> 2341 to continue. A new phase will be created and the General tab for it will be shown.</p> 2342 2343 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2344 id="_x0000_i1080" type="#_x0000_t75" style='width:357pt;height:206.25pt; 2337 2345 visibility:visible;mso-wrap-style:square'> 2338 2346 <v:imagedata src="SimpleMagnetic_files/image035.png" o:title=""/> 2339 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=3602340 src="SimpleMagnetic_files/image0 29.png" v:shapes="_x0000_i1080"><![endif]></span></p>2347 </v:shape><![endif]--><![if !vml]><img border=0 width=476 height=275 2348 src="SimpleMagnetic_files/image090.png" v:shapes="_x0000_i1080"><![endif]></span></p> 2341 2349 2342 2350 <p class=MsoNormal>The phase is named with mag appended to the end, the phase … … 2350 2358 2351 2359 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2352 id=" _x0000_i1079" type="#_x0000_t75" style='width:387.75pt;height:264.75pt;2353 visibility:visible;mso-wrap-style:square'>2354 <v:imagedata src="SimpleMagnetic_files/image0 37.png" o:title=""/>2355 </v:shape><![endif]--><![if !vml]><img border=0 width= 517 height=3532356 src="SimpleMagnetic_files/image0 31.png" v:shapes="_x0000_i1079"><![endif]></span></p>2360 id="Picture_x0020_81" o:spid="_x0000_i1079" type="#_x0000_t75" style='width:360.75pt; 2361 height:153.75pt;visibility:visible;mso-wrap-style:square'> 2362 <v:imagedata src="SimpleMagnetic_files/image029.png" o:title=""/> 2363 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=205 2364 src="SimpleMagnetic_files/image091.png" v:shapes="Picture_x0020_81"><![endif]></span></p> 2357 2365 2358 2366 <p class=MsoNormal>This shows all the possible required constraints between the 2359 chemical structure and the magnetic one . The first eight are for the <span2360 class=SpellE>Mn</span> atom; only the <span class=SpellE>Uiso</span> one is 2361 probably necessary for this analysis but the others will do no harm. The last 2362 th ree tie the lattices together. Select the <span class=SpellE><b2363 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2364 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:2365 minor-latin '>Histgram</span></b></span><b style='mso-bidi-font-weight:normal'><span2366 style=' font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;2367 mso- hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>/Phase</span></b>2368 tab</p>2369 2370 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2371 id="Picture_x0020_22" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:3 86.25pt;2372 height:13 9.5pt;visibility:visible;mso-wrap-style:square'>2367 chemical structure and the magnetic one (the ones for <span class=SpellE>U<sub>ij</sub></span> 2368 are not generated). The first two are for the <span class=SpellE>Mn</span> 2369 atom; only the <span class=SpellE>Uiso</span> one is probably necessary for 2370 this analysis but the other one will do no harm. The last three tie the 2371 lattices together. Select the <span class=SpellE><b style='mso-bidi-font-weight: 2372 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2373 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Histgram</span></b></span><b 2374 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2375 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 2376 minor-latin'>/Phase</span></b> tab</p> 2377 2378 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2379 id="Picture_x0020_22" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:361.5pt; 2380 height:130.5pt;visibility:visible;mso-wrap-style:square'> 2373 2381 <v:imagedata src="SimpleMagnetic_files/image039.png" o:title=""/> 2374 </v:shape><![endif]--><![if !vml]><img border=0 width= 515 height=1862375 src="SimpleMagnetic_files/image0 32.png" v:shapes="Picture_x0020_22"><![endif]></span></p>2382 </v:shape><![endif]--><![if !vml]><img border=0 width=482 height=174 2383 src="SimpleMagnetic_files/image095.png" v:shapes="Picture_x0020_22"><![endif]></span></p> 2376 2384 2377 2385 <p class=MsoNormal>This gives the constraints between the two phases for scale … … 2401 2409 2402 2410 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2403 id="Picture_x0020_23" o:spid="_x0000_i1077" type="#_x0000_t75" style='width: 468pt;2404 height: 111.75pt;visibility:visible;mso-wrap-style:square'>2411 id="Picture_x0020_23" o:spid="_x0000_i1077" type="#_x0000_t75" style='width:358.5pt; 2412 height:85.5pt;visibility:visible;mso-wrap-style:square'> 2405 2413 <v:imagedata src="SimpleMagnetic_files/image041.png" o:title=""/> 2406 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=1492407 src="SimpleMagnetic_files/image 033.png" v:shapes="Picture_x0020_23"><![endif]></span></p>2414 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=114 2415 src="SimpleMagnetic_files/image100.png" v:shapes="Picture_x0020_23"><![endif]></span></p> 2408 2416 2409 2417 <p class=MsoNormal>The boxes that carry the magnetic moment components (<span … … 2436 2444 2437 2445 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2438 id="Picture_x0020_24" o:spid="_x0000_i1076" type="#_x0000_t75" style='width: 468pt;2439 height: 231pt;visibility:visible;mso-wrap-style:square'>2446 id="Picture_x0020_24" o:spid="_x0000_i1076" type="#_x0000_t75" style='width:5in; 2447 height:177.75pt;visibility:visible;mso-wrap-style:square'> 2440 2448 <v:imagedata src="SimpleMagnetic_files/image043.png" o:title=""/> 2441 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=3082442 src="SimpleMagnetic_files/image 036.png" v:shapes="Picture_x0020_24"><![endif]></span></p>2449 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=237 2450 src="SimpleMagnetic_files/image101.png" v:shapes="Picture_x0020_24"><![endif]></span></p> 2443 2451 2444 2452 <p class=MsoNormal>It now shows the magnetic space group as <span class=SpellE>Pnma</span>. … … 2448 2456 2449 2457 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2450 id="Picture_x0020_25" o:spid="_x0000_i1075" type="#_x0000_t75" style='width: 468pt;2451 height: 121.5pt;visibility:visible;mso-wrap-style:square'>2458 id="Picture_x0020_25" o:spid="_x0000_i1075" type="#_x0000_t75" style='width:358.5pt; 2459 height:93pt;visibility:visible;mso-wrap-style:square'> 2452 2460 <v:imagedata src="SimpleMagnetic_files/image045.png" o:title=""/> 2453 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=1622454 src="SimpleMagnetic_files/image 038.png" v:shapes="Picture_x0020_25"><![endif]></span></p>2461 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=124 2462 src="SimpleMagnetic_files/image102.png" v:shapes="Picture_x0020_25"><![endif]></span></p> 2455 2463 2456 2464 <p class=MsoNormal><span class=GramE>with</span> 0.0 in each of the magnetic … … 2492 2500 2493 2501 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2494 id="Picture_x0020_ 26" o:spid="_x0000_i1074" type="#_x0000_t75" style='width:315.75pt;2495 height: 230.25pt;visibility:visible;mso-wrap-style:square'>2496 <v:imagedata src="SimpleMagnetic_files/image0 47.png" o:title=""/>2497 </v:shape><![endif]--><![if !vml]><img border=0 width=4 21 height=3072498 src="SimpleMagnetic_files/image 040.png" v:shapes="Picture_x0020_26"><![endif]></span></p>2502 id="Picture_x0020_82" o:spid="_x0000_i1074" type="#_x0000_t75" style='width:363.75pt; 2503 height:154.5pt;visibility:visible;mso-wrap-style:square'> 2504 <v:imagedata src="SimpleMagnetic_files/image029.png" o:title=""/> 2505 </v:shape><![endif]--><![if !vml]><img border=0 width=485 height=206 2506 src="SimpleMagnetic_files/image103.png" v:shapes="Picture_x0020_82"><![endif]></span></p> 2499 2507 2500 2508 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 2511 2519 <v:imagedata src="SimpleMagnetic_files/image049.png" o:title=""/> 2512 2520 </v:shape><![endif]--><![if !vml]><img border=0 width=444 height=225 2513 src="SimpleMagnetic_files/image 042.png" v:shapes="Picture_x0020_34"><![endif]></span></p>2521 src="SimpleMagnetic_files/image105.png" v:shapes="Picture_x0020_34"><![endif]></span></p> 2514 2522 2515 2523 <p class=MsoNormal>Scroll down to the bottom and select <b style='mso-bidi-font-weight: … … 2523 2531 2524 2532 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2525 id="Picture_x0020_ 35" o:spid="_x0000_i1072" type="#_x0000_t75" style='width:312pt;2526 height: 227.25pt;visibility:visible;mso-wrap-style:square'>2527 <v:imagedata src="SimpleMagnetic_files/image0 51.png" o:title=""/>2528 </v:shape><![endif]--><![if !vml]><img border=0 width=4 16 height=3032529 src="SimpleMagnetic_files/image 044.png" v:shapes="Picture_x0020_35"><![endif]></span></p>2533 id="Picture_x0020_83" o:spid="_x0000_i1072" type="#_x0000_t75" style='width:360.75pt; 2534 height:180pt;visibility:visible;mso-wrap-style:square'> 2535 <v:imagedata src="SimpleMagnetic_files/image042.png" o:title=""/> 2536 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=240 2537 src="SimpleMagnetic_files/image107.png" v:shapes="Picture_x0020_83"><![endif]></span></p> 2530 2538 2531 2539 <p class=MsoNormal>Now return to phases and select <b style='mso-bidi-font-weight: … … 2542 2550 <v:imagedata src="SimpleMagnetic_files/image053.png" o:title=""/> 2543 2551 </v:shape><![endif]--><![if !vml]><img border=0 width=489 height=101 2544 src="SimpleMagnetic_files/image 046.png" v:shapes="Picture_x0020_37"><![endif]></span></p>2552 src="SimpleMagnetic_files/image108.png" v:shapes="Picture_x0020_37"><![endif]></span></p> 2545 2553 2546 2554 <p class=MsoNormal>The least squares will not begin a refinement of <span … … 2559 2567 2560 2568 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2561 id="Picture_x0020_30" o:spid="_x0000_i1070" type="#_x0000_t75" style='width: 463.5pt;2562 height: 425.25pt;visibility:visible;mso-wrap-style:square'>2569 id="Picture_x0020_30" o:spid="_x0000_i1070" type="#_x0000_t75" style='width:359.25pt; 2570 height:329.25pt;visibility:visible;mso-wrap-style:square'> 2563 2571 <v:imagedata src="SimpleMagnetic_files/image055.png" o:title=""/> 2564 </v:shape><![endif]--><![if !vml]><img border=0 width= 618 height=5672565 src="SimpleMagnetic_files/image 048.png" v:shapes="Picture_x0020_30"><![endif]></span></p>2572 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=439 2573 src="SimpleMagnetic_files/image109.png" v:shapes="Picture_x0020_30"><![endif]></span></p> 2566 2574 2567 2575 <p class=MsoNormal>There does not appear to be any calculated magnetic … … 2570 2578 2571 2579 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2572 id="Picture_x0020_31" o:spid="_x0000_i1069" type="#_x0000_t75" style='width: 463.5pt;2573 height: 425.25pt;visibility:visible;mso-wrap-style:square'>2580 id="Picture_x0020_31" o:spid="_x0000_i1069" type="#_x0000_t75" style='width:358.5pt; 2581 height:329.25pt;visibility:visible;mso-wrap-style:square'> 2574 2582 <v:imagedata src="SimpleMagnetic_files/image057.png" o:title=""/> 2575 </v:shape><![endif]--><![if !vml]><img border=0 width= 618 height=5672576 src="SimpleMagnetic_files/image 050.png" v:shapes="Picture_x0020_31"><![endif]></span></p>2583 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=439 2584 src="SimpleMagnetic_files/image113.png" v:shapes="Picture_x0020_31"><![endif]></span></p> 2577 2585 2578 2586 <p class=MsoNormal>The magnetic moment is clearly too small; to let the least … … 2587 2595 2588 2596 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2589 id="Picture_x0020_32" o:spid="_x0000_i1068" type="#_x0000_t75" style='width: 463.5pt;2590 height: 426pt;visibility:visible;mso-wrap-style:square'>2597 id="Picture_x0020_32" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:359.25pt; 2598 height:330pt;visibility:visible;mso-wrap-style:square'> 2591 2599 <v:imagedata src="SimpleMagnetic_files/image059.png" o:title=""/> 2592 </v:shape><![endif]--><![if !vml]><img border=0 width= 618 height=5682593 src="SimpleMagnetic_files/image 052.png" v:shapes="Picture_x0020_32"><![endif]></span></p>2600 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=440 2601 src="SimpleMagnetic_files/image115.png" v:shapes="Picture_x0020_32"><![endif]></span></p> 2594 2602 2595 2603 <p class=MsoNormal>This appears to be a reasonable solution; a more complete … … 2616 2624 2617 2625 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2618 id="Picture_x0020_33" o:spid="_x0000_i1067" type="#_x0000_t75" style='width: 465.75pt;2619 height:2 63.25pt;visibility:visible;mso-wrap-style:square'>2626 id="Picture_x0020_33" o:spid="_x0000_i1067" type="#_x0000_t75" style='width:360.75pt; 2627 height:204pt;visibility:visible;mso-wrap-style:square'> 2620 2628 <v:imagedata src="SimpleMagnetic_files/image061.png" o:title=""/> 2621 </v:shape><![endif]--><![if !vml]><img border=0 width= 621 height=3512622 src="SimpleMagnetic_files/image 054.png" v:shapes="Picture_x0020_33"><![endif]></span></p>2629 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=272 2630 src="SimpleMagnetic_files/image116.png" v:shapes="Picture_x0020_33"><![endif]></span></p> 2623 2631 2624 2632 <p class=MsoNormal>Now set the spin operators to all <b style='mso-bidi-font-weight: … … 2631 2639 2632 2640 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2633 id="Picture_x0020_18" o:spid="_x0000_i1066" type="#_x0000_t75" style='width: 464.25pt;2634 height: 93pt;visibility:visible;mso-wrap-style:square'>2641 id="Picture_x0020_18" o:spid="_x0000_i1066" type="#_x0000_t75" style='width:358.5pt; 2642 height:1in;visibility:visible;mso-wrap-style:square'> 2635 2643 <v:imagedata src="SimpleMagnetic_files/image063.png" o:title=""/> 2636 </v:shape><![endif]--><![if !vml]><img border=0 width= 619 height=1242637 src="SimpleMagnetic_files/image 056.png" v:shapes="Picture_x0020_18"><![endif]></span></p>2644 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=96 2645 src="SimpleMagnetic_files/image117.png" v:shapes="Picture_x0020_18"><![endif]></span></p> 2638 2646 2639 2647 <p class=MsoNormal>Again, one can make the same argument that since the 010 … … 2661 2669 2662 2670 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2663 id="Picture_x0020_19" o:spid="_x0000_i1065" type="#_x0000_t75" style='width: 464.25pt;2664 height: 426pt;visibility:visible;mso-wrap-style:square'>2671 id="Picture_x0020_19" o:spid="_x0000_i1065" type="#_x0000_t75" style='width:357.75pt; 2672 height:328.5pt;visibility:visible;mso-wrap-style:square'> 2665 2673 <v:imagedata src="SimpleMagnetic_files/image065.png" o:title=""/> 2666 </v:shape><![endif]--><![if !vml]><img border=0 width= 619 height=5682667 src="SimpleMagnetic_files/image 058.png" v:shapes="Picture_x0020_19"><![endif]></span></p>2674 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=438 2675 src="SimpleMagnetic_files/image118.png" v:shapes="Picture_x0020_19"><![endif]></span></p> 2668 2676 2669 2677 <p class=MsoNormal>There is intensity in the lowest angle reflection (the 010) … … 2684 2692 2685 2693 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2686 id="Picture_x0020_20" o:spid="_x0000_i1064" type="#_x0000_t75" style='width: 459pt;2687 height:1 88.25pt;visibility:visible;mso-wrap-style:square'>2694 id="Picture_x0020_20" o:spid="_x0000_i1064" type="#_x0000_t75" style='width:357.75pt; 2695 height:147pt;visibility:visible;mso-wrap-style:square'> 2688 2696 <v:imagedata src="SimpleMagnetic_files/image104.png" o:title=""/> 2689 </v:shape><![endif]--><![if !vml]><img border=0 width= 612 height=2512690 src="SimpleMagnetic_files/image 060.png" v:shapes="Picture_x0020_20"><![endif]></span></p>2691 2692 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2693 id="Picture_x0020_21" o:spid="_x0000_i1063" type="#_x0000_t75" style='width: 456.75pt;2694 height:1 76.25pt;visibility:visible;mso-wrap-style:square'>2697 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=196 2698 src="SimpleMagnetic_files/image122.png" v:shapes="Picture_x0020_20"><![endif]></span></p> 2699 2700 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2701 id="Picture_x0020_21" o:spid="_x0000_i1063" type="#_x0000_t75" style='width:357.75pt; 2702 height:138pt;visibility:visible;mso-wrap-style:square'> 2695 2703 <v:imagedata src="SimpleMagnetic_files/image106.png" o:title=""/> 2696 </v:shape><![endif]--><![if !vml]><img border=0 width= 609 height=2352697 src="SimpleMagnetic_files/image 062.png" v:shapes="Picture_x0020_21"><![endif]></span></p>2704 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=184 2705 src="SimpleMagnetic_files/image123.png" v:shapes="Picture_x0020_21"><![endif]></span></p> 2698 2706 2699 2707 <p class=MsoNormal>You can see in particular at the pair of peaks at 33.3 and … … 2717 2725 2718 2726 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2719 id="Picture_x0020_38" o:spid="_x0000_i1062" type="#_x0000_t75" style='width: 454.5pt;2720 height:3 96pt;visibility:visible;mso-wrap-style:square'>2727 id="Picture_x0020_38" o:spid="_x0000_i1062" type="#_x0000_t75" style='width:359.25pt; 2728 height:312.75pt;visibility:visible;mso-wrap-style:square'> 2721 2729 <v:imagedata src="SimpleMagnetic_files/image110.png" o:title=""/> 2722 </v:shape><![endif]--><![if !vml]><img border=0 width= 606 height=5282723 src="SimpleMagnetic_files/image 064.png" v:shapes="Picture_x0020_38"><![endif]></span></p>2730 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=417 2731 src="SimpleMagnetic_files/image124.png" v:shapes="Picture_x0020_38"><![endif]></span></p> 2724 2732 2725 2733 <p class=MsoNormal>Looking at the plot, it would seem that the lattice … … 2744 2752 <v:imagedata src="SimpleMagnetic_files/image114.png" o:title=""/> 2745 2753 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=317 2746 src="SimpleMagnetic_files/image 066.png" v:shapes="Picture_x0020_39"><![endif]></span></p>2754 src="SimpleMagnetic_files/image125.png" v:shapes="Picture_x0020_39"><![endif]></span></p> 2747 2755 2748 2756 <p class=MsoNormal>Since the scan covers a very wide range in 2<span … … 2776 2784 2777 2785 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2778 id="Picture_x0020_40" o:spid="_x0000_i1060" type="#_x0000_t75" style='width: 465pt;2779 height: 404.25pt;visibility:visible;mso-wrap-style:square'>2786 id="Picture_x0020_40" o:spid="_x0000_i1060" type="#_x0000_t75" style='width:357.75pt; 2787 height:311.25pt;visibility:visible;mso-wrap-style:square'> 2780 2788 <v:imagedata src="SimpleMagnetic_files/image072.png" o:title=""/> 2781 </v:shape><![endif]--><![if !vml]><img border=0 width= 620 height=5392782 src="SimpleMagnetic_files/image 068.png" v:shapes="Picture_x0020_40"><![endif]></span></p>2789 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=415 2790 src="SimpleMagnetic_files/image131.png" v:shapes="Picture_x0020_40"><![endif]></span></p> 2783 2791 2784 2792 <p class=MsoNormal>Now we can add refinement of the atom positions and thermal … … 2827 2835 2828 2836 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2829 id="Picture_x0020_41" o:spid="_x0000_i1059" type="#_x0000_t75" style='width: 461.25pt;2830 height:3 95.25pt;visibility:visible;mso-wrap-style:square'>2837 id="Picture_x0020_41" o:spid="_x0000_i1059" type="#_x0000_t75" style='width:5in; 2838 height:307.5pt;visibility:visible;mso-wrap-style:square'> 2831 2839 <v:imagedata src="SimpleMagnetic_files/image121.png" o:title=""/> 2832 </v:shape><![endif]--><![if !vml]><img border=0 width= 615 height=5272833 src="SimpleMagnetic_files/image 070.png" v:shapes="Picture_x0020_41"><![endif]></span></p>2840 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=410 2841 src="SimpleMagnetic_files/image132.png" v:shapes="Picture_x0020_41"><![endif]></span></p> 2834 2842 2835 2843 <p class=MsoNormal>This curve shows a couple of peaks which are from some contaminating … … 2861 2869 2862 2870 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2863 id="Picture_x0020_42" o:spid="_x0000_i1058" type="#_x0000_t75" style='width: 461.25pt;2864 height: 96.75pt;visibility:visible;mso-wrap-style:square'>2871 id="Picture_x0020_42" o:spid="_x0000_i1058" type="#_x0000_t75" style='width:359.25pt; 2872 height:75pt;visibility:visible;mso-wrap-style:square'> 2865 2873 <v:imagedata src="SimpleMagnetic_files/image111.png" o:title=""/> 2866 </v:shape><![endif]--><![if !vml]><img border=0 width= 615 height=1292867 src="SimpleMagnetic_files/image 073.png" v:shapes="Picture_x0020_42"><![endif]></span></p>2874 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=100 2875 src="SimpleMagnetic_files/image133.png" v:shapes="Picture_x0020_42"><![endif]></span></p> 2868 2876 2869 2877 <p class=MsoNormal><o:p> </o:p></p> … … 2879 2887 2880 2888 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2881 id="Picture_x0020_44" o:spid="_x0000_i1057" type="#_x0000_t75" style='width: 462pt;2882 height: 185.25pt;visibility:visible;mso-wrap-style:square'>2889 id="Picture_x0020_44" o:spid="_x0000_i1057" type="#_x0000_t75" style='width:5in; 2890 height:2in;visibility:visible;mso-wrap-style:square'> 2883 2891 <v:imagedata src="SimpleMagnetic_files/image119.png" o:title=""/> 2884 </v:shape><![endif]--><![if !vml]><img border=0 width= 616 height=2472885 src="SimpleMagnetic_files/image 074.png" v:shapes="Picture_x0020_44"><![endif]></span></p>2892 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=192 2893 src="SimpleMagnetic_files/image135.png" v:shapes="Picture_x0020_44"><![endif]></span></p> 2886 2894 2887 2895 <p class=MsoNormal>The plot will show the unit cell contents of <span … … 2892 2900 2893 2901 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2894 id="Picture_x0020_45" o:spid="_x0000_i1056" type="#_x0000_t75" style='width: 457.5pt;2895 height:3 84.75pt;visibility:visible;mso-wrap-style:square'>2902 id="Picture_x0020_45" o:spid="_x0000_i1056" type="#_x0000_t75" style='width:360.75pt; 2903 height:303.75pt;visibility:visible;mso-wrap-style:square'> 2896 2904 <v:imagedata src="SimpleMagnetic_files/image126.png" o:title=""/> 2897 </v:shape><![endif]--><![if !vml]><img border=0 width= 610 height=5132898 src="SimpleMagnetic_files/image 075.png" v:shapes="Picture_x0020_45"><![endif]></span></p>2905 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=405 2906 src="SimpleMagnetic_files/image137.png" v:shapes="Picture_x0020_45"><![endif]></span></p> 2899 2907 2900 2908 <p class=MsoNormal>This completes this tutorial; you can save the project if … … 2931 2939 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>xye</span></b></span> 2932 2940 format (angles in degrees) used by <span class=SpellE>Topas</span>, etc.<span 2933 style='mso-spacerun:yes'> </span>In those cases, you would change the file 2934 directory to <b style='mso-bidi-font-weight:normal'><span style='font-family: 2935 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 2936 minor-latin;mso-bidi-theme-font:minor-latin'>cif</span></b> format or the <span 2937 class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: 2938 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 2939 minor-latin;mso-bidi-theme-font:minor-latin'>xye</span></b></span> format 2940 (angles in degrees) used by <span class=SpellE>Topas</span>, etc. to see them. 2941 Because you used <span style='mso-fareast-font-family:Calibri;mso-fareast-theme-font: 2942 minor-latin'>the </span><b style='mso-bidi-font-weight:normal'><span 2941 style='mso-spacerun:yes'> </span>Because you used <span style='mso-fareast-font-family: 2942 Calibri;mso-fareast-theme-font:minor-latin'>the </span><b style='mso-bidi-font-weight: 2943 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2944 minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; 2945 mso-hansi-theme-font:minor-latin'>Help/Download tutorial</span></b><span 2946 style='mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin'> 2947 menu entry to open this page and downloaded the exercise files (recommended), 2948 then the </span><span class=SpellE><b style='mso-bidi-font-weight:normal'><span 2943 2949 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2944 2950 mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font: 2945 minor-latin'>Help/Download tutorial</span></b><span style='mso-fareast-font-family: 2946 Calibri;mso-fareast-theme-font:minor-latin'> menu entry to open this page and 2947 downloaded the exercise files (recommended), then the </span><span 2948 class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: 2949 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-fareast-font-family: 2950 Calibri;mso-fareast-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SimpleMagnetic</span></b></span><b 2951 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2952 mso-ascii-theme-font:minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font: 2953 minor-latin;mso-hansi-theme-font:minor-latin'>/data/...</span></b><span 2954 style='mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin'> 2955 entry will bring you to the location where the files have been downloaded. (It 2956 is also possible to download them manually from <a 2951 minor-latin'>SimpleMagnetic</span></b></span><b style='mso-bidi-font-weight: 2952 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2953 minor-latin;mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; 2954 mso-hansi-theme-font:minor-latin'>/data/...</span></b><span style='mso-fareast-font-family: 2955 Calibri;mso-fareast-theme-font:minor-latin'> entry will bring you to the 2956 location where the files have been downloaded. (It is also possible to download 2957 them manually from <a 2957 2958 href="https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/SimpleMagnetic/data/">https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/SimpleMagnetic/data/</a>. 2958 2959 In this case you will need to navigate to the download location manually.)<br> … … 3006 3007 <v:imagedata src="SimpleMagnetic_files/image067.png" o:title=""/> 3007 3008 </v:shape><![endif]--><![if !vml]><img border=0 width=261 height=276 3008 src="SimpleMagnetic_files/image 076.png" v:shapes="Picture_x0020_27"><![endif]></span></p>3009 src="SimpleMagnetic_files/image139.png" v:shapes="Picture_x0020_27"><![endif]></span></p> 3009 3010 3010 3011 <p class=MsoNormal style='margin-left:.25in'><span class=GramE>and</span> the … … 3012 3013 3013 3014 <p class=MsoNormal style='margin-left:.25in'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3014 id="Picture_x0020_28" o:spid="_x0000_i1054" type="#_x0000_t75" style='width: 447pt;3015 height: 407.25pt;visibility:visible;mso-wrap-style:square'>3015 id="Picture_x0020_28" o:spid="_x0000_i1054" type="#_x0000_t75" style='width:341.25pt; 3016 height:311.25pt;visibility:visible;mso-wrap-style:square'> 3016 3017 <v:imagedata src="SimpleMagnetic_files/image069.png" o:title=""/> 3017 </v:shape><![endif]--><![if !vml]><img border=0 width= 596 height=5433018 src="SimpleMagnetic_files/image 077.png" v:shapes="Picture_x0020_28"><![endif]></span></p>3018 </v:shape><![endif]--><![if !vml]><img border=0 width=455 height=415 3019 src="SimpleMagnetic_files/image161.png" v:shapes="Picture_x0020_28"><![endif]></span></p> 3019 3020 3020 3021 <h3>Step 2: Select Limits </h3> … … 3041 3042 minor-latin'>157.5</span></b>. Notice on the plot that the limit lines have 3042 3043 moved to these positions; the green lower limit is just below the small 1<sup>st</sup> 3043 peak and the red upper limit is just below that last broad hump. You may also3044 drag the limit lines to the desired location or place them by a left mouse 3045 click on a data point for the lower limit or a right click on a data point for 3046 the upper limit.</p>3047 3048 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3049 id="Picture_x0020_29" o:spid="_x0000_i1053" type="#_x0000_t75" style='width: 468pt;3050 height: 426pt;visibility:visible;mso-wrap-style:square'>3044 peak (at ~20°2Θ) and the red upper limit is just below that last broad 3045 hump. You may also drag the limit lines to the desired location or place them 3046 by a left mouse click on a data point for the lower limit or a right click on a 3047 data point for the upper limit.</p> 3048 3049 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3050 id="Picture_x0020_29" o:spid="_x0000_i1053" type="#_x0000_t75" style='width:358.5pt; 3051 height:327pt;visibility:visible;mso-wrap-style:square'> 3051 3052 <v:imagedata src="SimpleMagnetic_files/image071.png" o:title=""/> 3052 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=5683053 src="SimpleMagnetic_files/image 079.png" v:shapes="Picture_x0020_29"><![endif]></span></p>3053 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=436 3054 src="SimpleMagnetic_files/image162.png" v:shapes="Picture_x0020_29"><![endif]></span></p> 3054 3055 3055 3056 <h3><a name="sucrose_peak_fit"></a>Step 3: Read in the chemical structure for … … 3120 3121 <v:imagedata src="SimpleMagnetic_files/image134.png" o:title=""/> 3121 3122 </v:shape><![endif]--><![if !vml]><img border=0 width=280 height=224 3122 src="SimpleMagnetic_files/image 094.png" v:shapes="Picture_x0020_46"><![endif]></span></p>3123 src="SimpleMagnetic_files/image163.png" v:shapes="Picture_x0020_46"><![endif]></span></p> 3123 3124 3124 3125 <p class=MsoNormal style='margin-left:.25in'>Select the histogram (or press <b … … 3130 3131 The General tab for the phase is shown next<br> 3131 3132 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_47" 3132 o:spid="_x0000_i1051" type="#_x0000_t75" style='width: 448.5pt;height:228pt;3133 o:spid="_x0000_i1051" type="#_x0000_t75" style='width:342pt;height:174pt; 3133 3134 visibility:visible;mso-wrap-style:square'> 3134 3135 <v:imagedata src="SimpleMagnetic_files/image136.png" o:title=""/> 3135 </v:shape><![endif]--><![if !vml]><img border=0 width= 598 height=3043136 src="SimpleMagnetic_files/image 096.png" v:shapes="Picture_x0020_47"><![endif]></span></p>3136 </v:shape><![endif]--><![if !vml]><img border=0 width=456 height=232 3137 src="SimpleMagnetic_files/image164.png" v:shapes="Picture_x0020_47"><![endif]></span></p> 3137 3138 3138 3139 <p class=MsoNormal style='margin-left:.25in'>Notice that the space group from … … 3154 3155 the Indexing controls will be shown<br> 3155 3156 <span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_48" 3156 o:spid="_x0000_i1050" type="#_x0000_t75" style='width: 466.5pt;height:165.75pt;3157 o:spid="_x0000_i1050" type="#_x0000_t75" style='width:359.25pt;height:127.5pt; 3157 3158 visibility:visible;mso-wrap-style:square'> 3158 3159 <v:imagedata src="SimpleMagnetic_files/image138.png" o:title=""/> 3159 </v:shape><![endif]--><![if !vml]><img border=0 width= 622 height=2213160 src="SimpleMagnetic_files/image1 12.png" v:shapes="Picture_x0020_48"><![endif]></span></p>3160 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=170 3161 src="SimpleMagnetic_files/image165.png" v:shapes="Picture_x0020_48"><![endif]></span></p> 3161 3162 3162 3163 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'>This … … 3178 3179 3179 3180 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'><span 3180 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 49"3181 o:spid="_x0000_i1049" type="#_x0000_t75" style='width: 466.5pt;height:165.75pt;3181 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_84" 3182 o:spid="_x0000_i1049" type="#_x0000_t75" style='width:363.75pt;height:117.75pt; 3182 3183 visibility:visible;mso-wrap-style:square'> 3183 <v:imagedata src="SimpleMagnetic_files/image1 43.png" o:title=""/>3184 </v:shape><![endif]--><![if !vml]><img border=0 width= 622 height=2213185 src="SimpleMagnetic_files/image1 20.png" v:shapes="Picture_x0020_49"><![endif]></span><br3184 <v:imagedata src="SimpleMagnetic_files/image166.png" o:title=""/> 3185 </v:shape><![endif]--><![if !vml]><img border=0 width=485 height=157 3186 src="SimpleMagnetic_files/image167.png" v:shapes="Picture_x0020_84"><![endif]></span><br 3186 3187 style='mso-special-character:line-break'> 3187 3188 <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> 3188 3189 <![endif]></p> 3189 3190 3190 <p class=MsoNormal><span class=GramE>showing</span> the lattice constants for 3191 LaCaMnO<sub>3</sub> you had obtained from the <span class=SpellE>cif</span> 3192 file. Note that the space group is set to that of the <span class=SpellE>Bravais</span> 3193 lattice (P m <span class=SpellE>m</span> m) and not the space group for LaCaMnO<sub>3</sub> 3194 (P b n m).</p> 3195 3196 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'>Press 3197 the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3198 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3199 minor-latin'>Show <span class=SpellE>hkl</span> positions</span></b> button; 3200 after a short pause (while reflections are generated), the plot will show the 3201 calculated reflection line positions. Zoom in on the lowest part of the pattern 3202 to see details of the indexing<span style='mso-no-proof:yes'> <!--[if gte vml 1]><v:shape 3203 id="Picture_x0020_50" o:spid="_x0000_i1048" type="#_x0000_t75" style='width:465.75pt; 3204 height:327.75pt;visibility:visible;mso-wrap-style:square'> 3191 <p class=MsoNormal><span class=GramE>showing</span> the lattice constants and 3192 space group (P b n m) for LaCaMnO<sub>3</sub> you had obtained from the <span 3193 class=SpellE>cif</span> file. </p> 3194 3195 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'>Change 3196 the space group to <b style='mso-bidi-font-weight:normal'><span 3197 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3198 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>P m <span 3199 class=SpellE>m</span> <span class=SpellE>m</span></span></b>; after a short 3200 pause (while reflections are generated), the plot will show the calculated 3201 reflection line positions. Zoom in on the lowest part of the pattern to see 3202 details of the indexing<span style='mso-no-proof:yes'> <!--[if gte vml 1]><v:shape 3203 id="Picture_x0020_50" o:spid="_x0000_i1048" type="#_x0000_t75" style='width:5in; 3204 height:253.5pt;visibility:visible;mso-wrap-style:square'> 3205 3205 <v:imagedata src="SimpleMagnetic_files/image145.png" o:title=""/> 3206 </v:shape><![endif]--><![if !vml]><img border=0 width= 621 height=4373207 src="SimpleMagnetic_files/image1 27.png" v:shapes="Picture_x0020_50"><![endif]></span></p>3206 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=338 3207 src="SimpleMagnetic_files/image168.png" v:shapes="Picture_x0020_50"><![endif]></span></p> 3208 3208 3209 3209 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Note … … 3212 3212 also a few seemingly misplaced unindexed lines (at 37.4, 53.9 & 3213 3213 67.4°2Θ); probably some contaminating minor phase. Well have to ignore 3214 them. Change the space group to <span class=SpellE>Pbnm</span>; the indexing 3215 will change.</p> 3216 3217 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3218 id="Picture_x0020_51" o:spid="_x0000_i1047" type="#_x0000_t75" style='width:468.75pt; 3219 height:330pt;visibility:visible;mso-wrap-style:square'> 3214 them. Change the space group back to <b style='mso-bidi-font-weight:normal'><span 3215 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3216 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>P b n m</span></b>; 3217 the indexing will change.</p> 3218 3219 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3220 id="Picture_x0020_51" o:spid="_x0000_i1047" type="#_x0000_t75" style='width:359.25pt; 3221 height:252.75pt;visibility:visible;mso-wrap-style:square'> 3220 3222 <v:imagedata src="SimpleMagnetic_files/image147.png" o:title=""/> 3221 </v:shape><![endif]--><![if !vml]><img border=0 width= 625 height=4403222 src="SimpleMagnetic_files/image1 28.png" v:shapes="Picture_x0020_51"><![endif]></span><br>3223 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=337 3224 src="SimpleMagnetic_files/image169.png" v:shapes="Picture_x0020_51"><![endif]></span><br> 3223 3225 Then check the box <b style='mso-bidi-font-weight:normal'><span 3224 3226 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; … … 3229 3231 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'><span 3230 3232 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_52" 3231 o:spid="_x0000_i1046" type="#_x0000_t75" style='width: 467.25pt;height:149.25pt;3233 o:spid="_x0000_i1046" type="#_x0000_t75" style='width:358.5pt;height:114.75pt; 3232 3234 visibility:visible;mso-wrap-style:square'> 3233 3235 <v:imagedata src="SimpleMagnetic_files/image149.png" o:title=""/> 3234 </v:shape><![endif]--><![if !vml]><img border=0 width= 623 height=1993235 src="SimpleMagnetic_files/image1 29.png" v:shapes="Picture_x0020_52"><![endif]></span></p>3236 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=153 3237 src="SimpleMagnetic_files/image177.png" v:shapes="Picture_x0020_52"><![endif]></span></p> 3236 3238 3237 3239 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Because … … 3253 3255 <p class=MsoNormal>In the previous step we did not have to resort to any 3254 3256 doubling of a cell axis to explain the suite of magnetic reflections, so the 3255 propagation vector is zero (in case anyone asks!). To make the magnetic cell3256 from the chemical cell we will use the transform tool that is in GSAS-II inthe3257 General tab for thechemical structure. That tab is</p>3257 propagation vector is zero. To make the magnetic cell from the chemical cell we 3258 will use the transform tool that is in GSAS-II in the General tab for the 3259 chemical structure. That tab is</p> 3258 3260 3259 3261 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3260 3262 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_53" 3261 o:spid="_x0000_i1045" type="#_x0000_t75" style='width: 467.25pt;height:206.25pt;3263 o:spid="_x0000_i1045" type="#_x0000_t75" style='width:359.25pt;height:158.25pt; 3262 3264 visibility:visible;mso-wrap-style:square'> 3263 3265 <v:imagedata src="SimpleMagnetic_files/image151.png" o:title=""/> 3264 </v:shape><![endif]--><![if !vml]><img border=0 width= 623 height=2753265 src="SimpleMagnetic_files/image1 30.png" v:shapes="Picture_x0020_53"><![endif]></span></p>3266 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=211 3267 src="SimpleMagnetic_files/image181.png" v:shapes="Picture_x0020_53"><![endif]></span></p> 3266 3268 3267 3269 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 3274 3276 3275 3277 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3276 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_8 1"3278 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_85" 3277 3279 o:spid="_x0000_i1044" type="#_x0000_t75" style='width:274.5pt;height:315pt; 3278 3280 visibility:visible;mso-wrap-style:square'> 3279 <v:imagedata src="SimpleMagnetic_files/image1 71.png" o:title=""/>3281 <v:imagedata src="SimpleMagnetic_files/image183.png" o:title=""/> 3280 3282 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=420 3281 src="SimpleMagnetic_files/image1 71.png" v:shapes="Picture_x0020_81"><![endif]></span></p>3283 src="SimpleMagnetic_files/image183.png" v:shapes="Picture_x0020_85"><![endif]></span></p> 3282 3284 3283 3285 <p class=MsoNormal>The order of operations for the transformation is given at … … 3290 3292 3291 3293 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3292 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_8 2"3293 o:spid="_x0000_i1043" type="#_x0000_t75" style='width:2 74.5pt;height:336pt;3294 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_86" 3295 o:spid="_x0000_i1043" type="#_x0000_t75" style='width:296.25pt;height:348pt; 3294 3296 visibility:visible;mso-wrap-style:square'> 3295 <v:imagedata src="SimpleMagnetic_files/image173.png" o:title=""/> 3296 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=448 3297 src="SimpleMagnetic_files/image173.png" v:shapes="Picture_x0020_82"><![endif]></span></p> 3298 3299 <p class=MsoNormal>This allows one to select possible magnetic lattice centering 3300 operations as given by the BNS nomenclature. This can be needed if one had 3301 discovered a requirement of doubling a cell axis in the previous step (e.g. a 3302 nonzero propagation vector). This is not required in this case and we are using 3303 the same nonstandard space group (<span class=SpellE>Pnma</span>) for the 3297 <v:imagedata src="SimpleMagnetic_files/image185.png" o:title=""/> 3298 </v:shape><![endif]--><![if !vml]><img border=0 width=395 height=464 3299 src="SimpleMagnetic_files/image185.png" v:shapes="Picture_x0020_86"><![endif]></span></p> 3300 3301 <p class=MsoNormal>This allows one to select possible magnetic lattice 3302 centering operations as given by the BNS nomenclature and the spin inversions 3303 mx, my & <span class=SpellE>mz</span> (we will do these later). This can be 3304 needed if one had discovered a requirement of doubling a cell axis in the 3305 previous step (e.g. a nonzero propagation vector). This is not required in this 3306 case and we are using the same nonstandard space group (P b n m) for the 3304 3307 magnetic cell that is used for the chemical cell. Leave the box at the bottom 3305 3308 about constraints checked as we want them to tie the two phases together.<span … … 3310 3313 3311 3314 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3312 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 56"3313 o:spid="_x0000_i1042" type="#_x0000_t75" style='width: 147pt;height:65.25pt;3315 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_87" 3316 o:spid="_x0000_i1042" type="#_x0000_t75" style='width:255.75pt;height:92.25pt; 3314 3317 visibility:visible;mso-wrap-style:square'> 3315 <v:imagedata src="SimpleMagnetic_files/image1 57.png" o:title=""/>3316 </v:shape><![endif]--><![if !vml]><img border=0 width= 196 height=873317 src="SimpleMagnetic_files/image1 40.png" v:shapes="Picture_x0020_56"><![endif]></span></p>3318 <v:imagedata src="SimpleMagnetic_files/image187.png" o:title=""/> 3319 </v:shape><![endif]--><![if !vml]><img border=0 width=341 height=123 3320 src="SimpleMagnetic_files/image187.png" v:shapes="Picture_x0020_87"><![endif]></span></p> 3318 3321 3319 3322 <p class=MsoNormal>This allows one to reject certain atoms that are known to … … 3326 3329 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3327 3330 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_57" 3328 o:spid="_x0000_i1041" type="#_x0000_t75" style='width: 464.25pt;height:273.75pt;3331 o:spid="_x0000_i1041" type="#_x0000_t75" style='width:358.5pt;height:210.75pt; 3329 3332 visibility:visible;mso-wrap-style:square'> 3330 3333 <v:imagedata src="SimpleMagnetic_files/image159.png" o:title=""/> 3331 </v:shape><![endif]--><![if !vml]><img border=0 width= 619 height=3653332 src="SimpleMagnetic_files/image1 41.png" v:shapes="Picture_x0020_57"><![endif]></span></p>3334 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=281 3335 src="SimpleMagnetic_files/image189.png" v:shapes="Picture_x0020_57"><![endif]></span></p> 3333 3336 3334 3337 <p class=MsoNormal>The phase is named with mag appended to the end, the phase … … 3350 3353 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3351 3354 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_58" 3352 o:spid="_x0000_i1040" type="#_x0000_t75" style='width: 468.75pt;height:107.25pt;3355 o:spid="_x0000_i1040" type="#_x0000_t75" style='width:362.25pt;height:83.25pt; 3353 3356 visibility:visible;mso-wrap-style:square'> 3354 3357 <v:imagedata src="SimpleMagnetic_files/image170.png" o:title=""/> 3355 </v:shape><![endif]--><![if !vml]><img border=0 width= 625 height=1433356 src="SimpleMagnetic_files/image1 42.png" v:shapes="Picture_x0020_58"><![endif]></span></p>3358 </v:shape><![endif]--><![if !vml]><img border=0 width=483 height=111 3359 src="SimpleMagnetic_files/image191.png" v:shapes="Picture_x0020_58"><![endif]></span></p> 3357 3360 3358 3361 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'>Notice … … 3381 3384 <v:imagedata src="SimpleMagnetic_files/image172.png" o:title=""/> 3382 3385 </v:shape><![endif]--><![if !vml]><img border=0 width=320 height=266 3383 src="SimpleMagnetic_files/image1 44.png" v:shapes="Picture_x0020_60"><![endif]></span></p>3386 src="SimpleMagnetic_files/image193.png" v:shapes="Picture_x0020_60"><![endif]></span></p> 3384 3387 3385 3388 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'>The … … 3392 3395 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3393 3396 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_61" 3394 o:spid="_x0000_i1038" type="#_x0000_t75" style='width: 475.5pt;height:99.75pt;3397 o:spid="_x0000_i1038" type="#_x0000_t75" style='width:358.5pt;height:75pt; 3395 3398 visibility:visible;mso-wrap-style:square'> 3396 3399 <v:imagedata src="SimpleMagnetic_files/image174.png" o:title=""/> 3397 </v:shape><![endif]--><![if !vml]><img border=0 width= 634 height=1333398 src="SimpleMagnetic_files/image1 46.png" v:shapes="Picture_x0020_61"><![endif]></span></p>3400 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=100 3401 src="SimpleMagnetic_files/image194.png" v:shapes="Picture_x0020_61"><![endif]></span></p> 3399 3402 3400 3403 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>If … … 3448 3451 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'><span 3449 3452 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_64" 3450 o:spid="_x0000_i1037" type="#_x0000_t75" style='width: 519pt;height:364.5pt;3453 o:spid="_x0000_i1037" type="#_x0000_t75" style='width:360.75pt;height:254.25pt; 3451 3454 visibility:visible;mso-wrap-style:square'> 3452 3455 <v:imagedata src="SimpleMagnetic_files/image176.png" o:title=""/> 3453 </v:shape><![endif]--><![if !vml]><img border=0 width= 692 height=4863454 src="SimpleMagnetic_files/image1 48.png" v:shapes="Picture_x0020_64"><![endif]></span></p>3456 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=339 3457 src="SimpleMagnetic_files/image195.png" v:shapes="Picture_x0020_64"><![endif]></span></p> 3455 3458 3456 3459 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Clearly … … 3519 3522 3520 3523 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3521 id="Picture_x0020_63" o:spid="_x0000_i1036" type="#_x0000_t75" style='width: 468pt;3522 height: 89.25pt;visibility:visible;mso-wrap-style:square'>3524 id="Picture_x0020_63" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:363.75pt; 3525 height:69pt;visibility:visible;mso-wrap-style:square'> 3523 3526 <v:imagedata src="SimpleMagnetic_files/image178.png" o:title=""/> 3524 </v:shape><![endif]--><![if !vml]><img border=0 width= 624 height=1193525 src="SimpleMagnetic_files/image1 50.png" v:shapes="Picture_x0020_63"><![endif]></span></p>3527 </v:shape><![endif]--><![if !vml]><img border=0 width=485 height=92 3528 src="SimpleMagnetic_files/image196.png" v:shapes="Picture_x0020_63"><![endif]></span></p> 3526 3529 3527 3530 <p class=MsoNormal>Then do <b style='mso-bidi-font-weight:normal'><span … … 3532 3535 3533 3536 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3534 id="Picture_x0020_65" o:spid="_x0000_i1035" type="#_x0000_t75" style='width: 468.75pt;3535 height: 330pt;visibility:visible;mso-wrap-style:square'>3537 id="Picture_x0020_65" o:spid="_x0000_i1035" type="#_x0000_t75" style='width:5in; 3538 height:254.25pt;visibility:visible;mso-wrap-style:square'> 3536 3539 <v:imagedata src="SimpleMagnetic_files/image180.png" o:title=""/> 3537 </v:shape><![endif]--><![if !vml]><img border=0 width= 625 height=4403538 src="SimpleMagnetic_files/image1 52.png" v:shapes="Picture_x0020_65"><![endif]></span></p>3540 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=339 3541 src="SimpleMagnetic_files/image197.png" v:shapes="Picture_x0020_65"><![endif]></span></p> 3539 3542 3540 3543 <p class=MsoNormal><span class=GramE>and</span> the magnetic moment components … … 3542 3545 3543 3546 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3544 id="Picture_x0020_66" o:spid="_x0000_i1034" type="#_x0000_t75" style='width: 471.75pt;3545 height: 92.25pt;visibility:visible;mso-wrap-style:square'>3547 id="Picture_x0020_66" o:spid="_x0000_i1034" type="#_x0000_t75" style='width:5in; 3548 height:70.5pt;visibility:visible;mso-wrap-style:square'> 3546 3549 <v:imagedata src="SimpleMagnetic_files/image182.png" o:title=""/> 3547 </v:shape><![endif]--><![if !vml]><img border=0 width= 629 height=1233548 src="SimpleMagnetic_files/image1 53.png" v:shapes="Picture_x0020_66"><![endif]></span></p>3550 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=94 3551 src="SimpleMagnetic_files/image198.png" v:shapes="Picture_x0020_66"><![endif]></span></p> 3549 3552 3550 3553 <p class=MsoNormal>So we test the next possibility.</p> … … 3595 3598 3596 3599 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3597 id="Picture_x0020_67" o:spid="_x0000_i1033" type="#_x0000_t75" style='width: 471.75pt;3598 height: 331.5pt;visibility:visible;mso-wrap-style:square'>3600 id="Picture_x0020_67" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:359.25pt; 3601 height:252pt;visibility:visible;mso-wrap-style:square'> 3599 3602 <v:imagedata src="SimpleMagnetic_files/image184.png" o:title=""/> 3600 </v:shape><![endif]--><![if !vml]><img border=0 width= 629 height=4423601 src="SimpleMagnetic_files/image1 54.png" v:shapes="Picture_x0020_67"><![endif]></span></p>3603 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=336 3604 src="SimpleMagnetic_files/image199.png" v:shapes="Picture_x0020_67"><![endif]></span></p> 3602 3605 3603 3606 <p class=MsoNormal>The <b style='mso-bidi-font-weight:normal'><span … … 3609 3612 3610 3613 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3611 id="Picture_x0020_68" o:spid="_x0000_i1032" type="#_x0000_t75" style='width: 472.5pt;3612 height: 88.5pt;visibility:visible;mso-wrap-style:square'>3614 id="Picture_x0020_68" o:spid="_x0000_i1032" type="#_x0000_t75" style='width:5in; 3615 height:67.5pt;visibility:visible;mso-wrap-style:square'> 3613 3616 <v:imagedata src="SimpleMagnetic_files/image186.png" o:title=""/> 3614 </v:shape><![endif]--><![if !vml]><img border=0 width= 630 height=1183615 src="SimpleMagnetic_files/image 155.png" v:shapes="Picture_x0020_68"><![endif]></span></p>3617 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=90 3618 src="SimpleMagnetic_files/image200.png" v:shapes="Picture_x0020_68"><![endif]></span></p> 3616 3619 3617 3620 <p class=MsoNormal>Lets test the next one.</p> … … 3660 3663 3661 3664 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3662 id="Picture_x0020_69" o:spid="_x0000_i1031" type="#_x0000_t75" style='width: 471.75pt;3663 height: 330.75pt;visibility:visible;mso-wrap-style:square'>3665 id="Picture_x0020_69" o:spid="_x0000_i1031" type="#_x0000_t75" style='width:360.75pt; 3666 height:252.75pt;visibility:visible;mso-wrap-style:square'> 3664 3667 <v:imagedata src="SimpleMagnetic_files/image188.png" o:title=""/> 3665 </v:shape><![endif]--><![if !vml]><img border=0 width= 629 height=4413666 src="SimpleMagnetic_files/image 156.png" v:shapes="Picture_x0020_69"><![endif]></span></p>3668 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=337 3669 src="SimpleMagnetic_files/image201.png" v:shapes="Picture_x0020_69"><![endif]></span></p> 3667 3670 3668 3671 <p class=MsoNormal>The <b style='mso-bidi-font-weight:normal'><span … … 3673 3676 3674 3677 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3675 id="Picture_x0020_70" o:spid="_x0000_i1030" type="#_x0000_t75" style='width: 472.5pt;3676 height: 94.5pt;visibility:visible;mso-wrap-style:square'>3678 id="Picture_x0020_70" o:spid="_x0000_i1030" type="#_x0000_t75" style='width:360.75pt; 3679 height:1in;visibility:visible;mso-wrap-style:square'> 3677 3680 <v:imagedata src="SimpleMagnetic_files/image190.png" o:title=""/> 3678 </v:shape><![endif]--><![if !vml]><img border=0 width= 630 height=1263679 src="SimpleMagnetic_files/image 158.png" v:shapes="Picture_x0020_70"><![endif]></span></p>3681 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=96 3682 src="SimpleMagnetic_files/image202.png" v:shapes="Picture_x0020_70"><![endif]></span></p> 3680 3683 3681 3684 <p class=MsoNormal>We should now check the last spin configuration.</p> … … 3722 3725 3723 3726 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3724 id="Picture_x0020_71" o:spid="_x0000_i1029" type="#_x0000_t75" style='width: 474.75pt;3725 height: 333pt;visibility:visible;mso-wrap-style:square'>3727 id="Picture_x0020_71" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:359.25pt; 3728 height:251.25pt;visibility:visible;mso-wrap-style:square'> 3726 3729 <v:imagedata src="SimpleMagnetic_files/image192.png" o:title=""/> 3727 </v:shape><![endif]--><![if !vml]><img border=0 width= 633 height=4443728 src="SimpleMagnetic_files/image 160.png" v:shapes="Picture_x0020_71"><![endif]></span></p>3730 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=335 3731 src="SimpleMagnetic_files/image203.png" v:shapes="Picture_x0020_71"><![endif]></span></p> 3729 3732 3730 3733 <p class=MsoNormal><span class=GramE>and</span> with the strong <span … … 3733 3736 3734 3737 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3735 id="Picture_x0020_72" o:spid="_x0000_i1028" type="#_x0000_t75" style='width: 477pt;3736 height: 81pt;visibility:visible;mso-wrap-style:square'>3738 id="Picture_x0020_72" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:359.25pt; 3739 height:60.75pt;visibility:visible;mso-wrap-style:square'> 3737 3740 <v:imagedata src="SimpleMagnetic_files/image206.png" o:title=""/> 3738 </v:shape><![endif]--><![if !vml]><img border=0 width= 636 height=1083739 src="SimpleMagnetic_files/image 175.png" v:shapes="Picture_x0020_72"><![endif]></span></p>3741 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=81 3742 src="SimpleMagnetic_files/image204.png" v:shapes="Picture_x0020_72"><![endif]></span></p> 3740 3743 3741 3744 <p class=MsoNormal><o:p> </o:p></p> … … 3800 3803 <v:imagedata src="SimpleMagnetic_files/image209.png" o:title=""/> 3801 3804 </v:shape><![endif]--><![if !vml]><img border=0 width=317 height=682 3802 src="SimpleMagnetic_files/image 179.png" v:shapes="Picture_x0020_73"><![endif]><!--[if gte vml 1]><v:shape3805 src="SimpleMagnetic_files/image205.png" v:shapes="Picture_x0020_73"><![endif]><!--[if gte vml 1]><v:shape 3803 3806 id="Picture_x0020_74" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:239.25pt; 3804 3807 height:510pt;visibility:visible;mso-wrap-style:square'> 3805 3808 <v:imagedata src="SimpleMagnetic_files/image211.png" o:title=""/> 3806 3809 </v:shape><![endif]--><![if !vml]><img border=0 width=319 height=680 3807 src="SimpleMagnetic_files/image 194.png" v:shapes="Picture_x0020_74"><![endif]></span></p>3810 src="SimpleMagnetic_files/image207.png" v:shapes="Picture_x0020_74"><![endif]></span></p> 3808 3811 3809 3812 <p class=MsoNormal>The magnetic peaks contributing to this peak are the 200,221 … … 3817 3820 3818 3821 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 3819 id="Picture_x0020_75" o:spid="_x0000_i1025" type="#_x0000_t75" style='width: 474pt;3820 height: 501.75pt;visibility:visible;mso-wrap-style:square'>3822 id="Picture_x0020_75" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:5in; 3823 height:381pt;visibility:visible;mso-wrap-style:square'> 3821 3824 <v:imagedata src="SimpleMagnetic_files/image213.png" o:title=""/> 3822 </v:shape><![endif]--><![if !vml]><img border=0 width= 632 height=6693823 src="SimpleMagnetic_files/image 195.png" v:shapes="Picture_x0020_75"><![endif]></span></p>3825 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=508 3826 src="SimpleMagnetic_files/image208.png" v:shapes="Picture_x0020_75"><![endif]></span></p> 3824 3827 3825 3828 <p class=MsoNormal><span class=GramE>which</span> shows that the ferromagnetic -
Tutorials/SimpleMagnetic/SimpleMagnetic_files/filelist.xml
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