Changeset 4945


Ignore:
Timestamp:
Jun 8, 2021 9:03:02 PM (4 months ago)
Author:
vondreele
Message:
 
Location:
Tutorials/2DTexture
Files:
89 added
15 edited

Legend:

Unmodified
Added
Removed
  • Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II.htm

    r4944 r4945  
    2525  <o:Author>Von Dreele</o:Author>
    2626  <o:LastAuthor>Von Dreele, Robert B.</o:LastAuthor>
    27   <o:Revision>7</o:Revision>
    28   <o:TotalTime>2365</o:TotalTime>
     27  <o:Revision>8</o:Revision>
     28  <o:TotalTime>2386</o:TotalTime>
    2929  <o:Created>2021-06-08T17:35:00Z</o:Created>
    30   <o:LastSaved>2021-06-08T22:03:00Z</o:LastSaved>
     30  <o:LastSaved>2021-06-09T01:57:00Z</o:LastSaved>
    3131  <o:Pages>46</o:Pages>
    3232  <o:Words>4398</o:Words>
     
    15491549  o:title="" chromakey="white"/>
    15501550</v:shape><![endif]--><![if !vml]><img width=357 height=56
    1551 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png"
     1551src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image002.png"
    15521552v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    15531553
     
    15701570EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    15711571 type="#_x0000_t75" style='width:32.25pt;height:26.25pt'>
    1572  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
     1572 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image003.png"
    15731573  o:title="" chromakey="white"/>
    15741574</v:shape><![endif]--><![if !vml]><img width=43 height=35
    1575 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
     1575src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.png"
    15761576v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    15771577style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
     
    15881588EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    15891589 type="#_x0000_t75" style='width:30pt;height:26.25pt'>
    1590  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
     1590 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.png"
    15911591  o:title="" chromakey="white"/>
    15921592</v:shape><![endif]--><![if !vml]><img width=40 height=35
    1593 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
     1593src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png"
    15941594v:shapes="_x0000_i1025"><![endif]></span><![endif]>, take on values according
    15951595to the crystal and sample symmetries, respectively, and thus the two inner
    1596 summations are over only the resulting unique, nonz<span class=SpellE>ero</span>
    1597 harmonic terms. These unique terms are automatically selected by <span
    1598 style='mso-bidi-font-weight:bold'>GSAS-II</span> according to the space group
    1599 symmetry and the user chosen sample symmetry. The available sample symmetries
    1600 are cylindrical symmetry, 2/m, mmm and no symmetry. The choice of sample
    1601 symmetry profoundly affects the selection of harmonic coefficients. For
    1602 example, in the case of cylindrical sample symmetry (fiber texture) only <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
     1596summations are over only the resulting unique, nonzero harmonic terms. These
     1597unique terms are automatically selected by <span style='mso-bidi-font-weight:
     1598bold'>GSAS-II</span> according to the space group symmetry and the user chosen
     1599sample symmetry. The available sample symmetries are cylindrical symmetry, 2/m,
     1600mmm and no symmetry. The choice of sample symmetry profoundly affects the
     1601selection of harmonic coefficients. For example, in the case of cylindrical
     1602sample symmetry (fiber texture) only <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
    16031603   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
    16041604   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
     
    16131613EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    16141614 type="#_x0000_t75" style='width:29.25pt;height:26.25pt'>
    1615  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
     1615 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image007.png"
    16161616  o:title="" chromakey="white"/>
    16171617</v:shape><![endif]--><![if !vml]><img width=39 height=35
    1618 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
     1618src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image008.png"
    16191619v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    16201620style='mso-spacerun:yes'> </span>terms are nonzero so the rest are excluded
     
    16311631EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    16321632 type="#_x0000_t75" style='width:21pt;height:26.25pt'>
    1633  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
     1633 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image009.png"
    16341634  o:title="" chromakey="white"/>
    16351635</v:shape><![endif]--><![if !vml]><img width=28 height=35
    1636 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
     1636src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image010.png"
    16371637v:shapes="_x0000_i1025"><![endif]></span><![endif]>coefficients is sufficient
    16381638to describe the effect on the diffraction patterns due to texture. The crystal
     
    16501650EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    16511651 type="#_x0000_t75" style='width:32.25pt;height:26.25pt'>
    1652  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
     1652 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image011.png"
    16531653  o:title="" chromakey="white"/>
    16541654</v:shape><![endif]--><![if !vml]><img width=43 height=35
    1655 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
     1655src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image012.png"
    16561656v:shapes="_x0000_i1025"><![endif]></span><![endif]>, is defined for each
    16571657reflection, h, <i>via</i> polar and azimuthal coordinates (<span
     
    16761676EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    16771677 type="#_x0000_t75" style='width:30pt;height:26.25pt'>
    1678  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
     1678 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.png"
    16791679  o:title="" chromakey="white"/>
    16801680</v:shape><![endif]--><![if !vml]><img width=40 height=35
    1681 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
     1681src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png"
    16821682v:shapes="_x0000_i1025"><![endif]></span><![endif]>, is defined according to
    16831683polar and azimuthal coordinates (<span style='font-family:Symbol'>y</span>, <span
     
    17511751mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    17521752 id="_x0000_i1025" type="#_x0000_t75" style='width:320.95pt;height:54pt'>
    1753  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
     1753 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png"
    17541754  o:title="" chromakey="white"/>
    17551755</v:shape><![endif]--><![if !vml]><img width=428 height=72
    1756 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
     1756src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image014.png"
    17571757v:shapes="_x0000_i1025"><![endif]></span><![endif]><br style='mso-special-character:
    17581758line-break'>
     
    17961796any angular offset in sample mounting. After including the diffraction angle, <span
    17971797style='font-family:Symbol'>Q</span>, and a detector azimuthal angle, A, the
    1798 full rotation matrix, <b style='mso-bidi-font-weight:normal'>M</b>, is <span
    1799 style='mso-spacerun:yes'> </span></p>
     1798full rotation matrix, <b style='mso-bidi-font-weight:normal'>M</b>, is<span
     1799style='mso-spacerun:yes'>  </span></p>
    18001800
    18011801<p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
     
    18331833EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    18341834 type="#_x0000_t75" style='width:33.75pt;height:50.25pt'>
    1835  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
     1835 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image015.png"
    18361836  o:title="" chromakey="white"/>
    18371837</v:shape><![endif]--><![if !vml]><img width=45 height=67
    1838 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
     1838src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image016.png"
    18391839v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    18401840style='mso-spacerun:yes'> </span>and<span style='mso-spacerun:yes'>   </span><i>tan</i>(<span
     
    18701870EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    18711871 type="#_x0000_t75" style='width:80.25pt;height:50.25pt'>
    1872  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
     1872 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image017.png"
    18731873  o:title="" chromakey="white"/>
    18741874</v:shape><![endif]--><![if !vml]><img width=107 height=67
    1875 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
     1875src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image018.png"
    18761876v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    18771877
     
    18901890EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    18911891 type="#_x0000_t75" style='width:46.5pt;height:26.25pt'>
    1892  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
     1892 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image019.png"
    18931893  o:title="" chromakey="white"/>
    18941894</v:shape><![endif]--><![if !vml]><img width=62 height=35
    1895 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
     1895src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.png"
    18961896v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    18971897style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
     
    19081908EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    19091909 type="#_x0000_t75" style='width:42.75pt;height:26.25pt'>
    1910  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
     1910 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image021.png"
    19111911  o:title="" chromakey="white"/>
    19121912</v:shape><![endif]--><![if !vml]><img width=57 height=35
    1913 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
     1913src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.png"
    19141914v:shapes="_x0000_i1025"><![endif]></span><![endif]>, are developed from</p>
    19151915
     
    19631963mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    19641964 id="_x0000_i1025" type="#_x0000_t75" style='width:165pt;height:42pt'>
    1965  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
     1965 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image023.png"
    19661966  o:title="" chromakey="white"/>
    19671967</v:shape><![endif]--><![if !vml]><img width=220 height=56
    1968 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
     1968src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image024.png"
    19691969v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    19701970
     
    19871987EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    19881988 type="#_x0000_t75" style='width:33pt;height:26.25pt'>
    1989  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
     1989 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image025.png"
    19901990  o:title="" chromakey="white"/>
    19911991</v:shape><![endif]--><![if !vml]><img width=44 height=35
    1992 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
     1992src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image026.png"
    19931993v:shapes="_x0000_i1025"><![endif]></span><![endif]>, are defined via a Fourier
    19941994expansion as</p>
     
    20392039mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    20402040 id="_x0000_i1025" type="#_x0000_t75" style='width:154.5pt;height:52.5pt'>
    2041  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
     2041 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image027.png"
    20422042  o:title="" chromakey="white"/>
    20432043</v:shape><![endif]--><![if !vml]><img width=206 height=70
    2044 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
     2044src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image028.png"
    20452045v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    20462046
     
    20932093mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    20942094 id="_x0000_i1025" type="#_x0000_t75" style='width:158.25pt;height:52.5pt'>
    2095  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
     2095 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image029.png"
    20962096  o:title="" chromakey="white"/>
    20972097</v:shape><![endif]--><![if !vml]><img width=211 height=70
    2098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
     2098src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image030.png"
    20992099v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    21002100
     
    21152115EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    21162116 type="#_x0000_t75" style='width:24.75pt;height:26.25pt'>
    2117  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
     2117 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image031.png"
    21182118  o:title="" chromakey="white"/>
    21192119</v:shape><![endif]--><![if !vml]><img width=33 height=35
    2120 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
     2120src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image032.png"
    21212121v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span
    21222122style='mso-spacerun:yes'>  </span>These Fourier coefficients are determined so
     
    22422242mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    22432243 id="_x0000_i1025" type="#_x0000_t75" style='width:423.75pt;height:55.5pt'>
    2244  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
     2244 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png"
    22452245  o:title="" chromakey="white"/>
    22462246</v:shape><![endif]--><![if !vml]><img width=565 height=74
    2247 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
     2247src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image034.png"
    22482248v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    22492249
     
    22802280EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    22812281 type="#_x0000_t75" style='width:111pt;height:26.25pt'>
    2282  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
     2282 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image035.png"
    22832283  o:title="" chromakey="white"/>
    22842284</v:shape><![endif]--><![if !vml]><img width=148 height=35
    2285 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
     2285src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image036.png"
    22862286v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    22872287style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span
     
    23152315EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    23162316 type="#_x0000_t75" style='width:100.5pt;height:26.25pt'>
    2317  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
     2317 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image037.png"
    23182318  o:title="" chromakey="white"/>
    23192319</v:shape><![endif]--><![if !vml]><img width=134 height=35
    2320 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
     2320src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image038.png"
    23212321v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    23222322style='mso-spacerun:yes'> </span>are combined depending on the symmetry and the
    2323 value of m along with appropriate no<span class=SpellE>rmalization</span>
    2324 coefficients to give the harmonic terms <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
     2323value of m along with appropriate normalization coefficients to give the
     2324harmonic terms <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
    23252325   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
    23262326   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
     
    23362336EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    23372337 type="#_x0000_t75" style='width:48pt;height:26.25pt'>
    2338  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
     2338 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png"
    23392339  o:title="" chromakey="white"/>
    23402340</v:shape><![endif]--><![if !vml]><img width=64 height=35
    2341 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
     2341src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.png"
    23422342v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    23432343style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
     
    23552355EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    23562356 type="#_x0000_t75" style='width:45pt;height:26.25pt'>
    2357  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
     2357 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png"
    23582358  o:title="" chromakey="white"/>
    23592359</v:shape><![endif]--><![if !vml]><img width=60 height=35
    2360 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
     2360src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image042.png"
    23612361v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span
    23622362style='mso-spacerun:yes'>  </span>For cubic crystal symmetry, the term <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
     
    23742374EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    23752375 type="#_x0000_t75" style='width:48pt;height:26.25pt'>
    2376  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
     2376 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png"
    23772377  o:title="" chromakey="white"/>
    23782378</v:shape><![endif]--><![if !vml]><img width=64 height=35
    2379 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
     2379src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.png"
    23802380v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    23812381style='mso-spacerun:yes'> </span>is obtained directly from the Fourier
     
    24352435mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    24362436 id="_x0000_i1025" type="#_x0000_t75" style='width:193.5pt;height:52.5pt'>
    2437  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
     2437 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image043.png"
    24382438  o:title="" chromakey="white"/>
    24392439</v:shape><![endif]--><![if !vml]><img width=258 height=70
    2440 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image105.png"
     2440src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image044.png"
    24412441v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    24422442
     
    24542454EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    24552455 type="#_x0000_t75" style='width:22.5pt;height:26.25pt'>
    2456  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image106.png"
     2456 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image045.png"
    24572457  o:title="" chromakey="white"/>
    24582458</v:shape><![endif]--><![if !vml]><img width=30 height=35
    2459 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image108.png"
     2459src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image046.png"
    24602460v:shapes="_x0000_i1025"><![endif]></span><![endif]>, as tabulated by Bunge
    24612461(1982). </p>
     
    24762476EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    24772477 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'>
    2478  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image110.png"
     2478 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png"
    24792479  o:title="" chromakey="white"/>
    24802480</v:shape><![endif]--><![if !vml]><img width=29 height=35
    2481 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image112.png"
    2482 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample
    2483 orientation angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span
     2481src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png"
     2482v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample orientation
     2483angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span
    24842484style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family:Symbol'>F</span><sub>s</sub>,
    24852485all of which can be adjustable parameters of the refinement. Once the
     
    24972497EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
    24982498 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'>
    2499  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image110.png"
     2499 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png"
    25002500  o:title="" chromakey="white"/>
    25012501</v:shape><![endif]--><![if !vml]><img width=29 height=35
    2502 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image112.png"
     2502src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png"
    25032503v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
    25042504style='mso-spacerun:yes'> </span>and the sample orientation angles <span
     
    25552555mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
    25562556 id="_x0000_i1025" type="#_x0000_t75" style='width:180.75pt;height:54pt'>
    2557  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image114.png"
     2557 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.png"
    25582558  o:title="" chromakey="white"/>
    25592559</v:shape><![endif]--><![if !vml]><img width=241 height=72
    2560 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image116.png"
     2560src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
    25612561v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
    25622562
     
    25702570to accommodate the two possible uses of this correction. In one, a suite of
    25712571spherical harmonics coefficients is defined for the texture of a phase in the
    2572 sample; this can have any of the possible sample symmetries and is the usual
    2573 result desired for texture analysis. The other is the suite of spherical
    2574 harmonics terms for cylindrical sample symmetry for each phase in each powder
    2575 pattern (“histogram”) and is usually used to accommodate preferred orientation
    2576 effects in a Rietveld refinement. The former description allows refinement of
    2577 the sample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>,
     2572sample; this can have any of the possible sample symmetries and is the usual result
     2573desired for texture analysis. The other is the suite of spherical harmonics
     2574terms for cylindrical sample symmetry for each phase in each powder pattern
     2575(“histogram”) and is usually used to accommodate preferred orientation effects
     2576in a Rietveld refinement. The former description allows refinement of the
     2577sample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>,
    25782578<span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family:
    2579 Symbol'>F</span><sub>s</sub>, but the latter description does not (they are
    2580 assumed to be zero and not refinable). The sample orientation angles, (<span
     2579Symbol'>F</span><sub>s</sub>, but the latter description does not (they are assumed
     2580to be zero and not refinable). The sample orientation angles, (<span
    25812581style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>,
    25822582<span style='font-family:Symbol'>F) </span>are specified in the Sample
     
    26512651  o:title=""/>
    26522652</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=389
    2653 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image122.png"
     2653src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png"
    26542654v:shapes="Picture_x0020_59"><![endif]></span></p>
    26552655
     
    26812681  o:title=""/>
    26822682</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=389
    2683 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image126.png"
     2683src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
    26842684v:shapes="Picture_x0020_60"><![endif]></span></p>
    26852685
     
    27072707  o:title=""/>
    27082708</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522
    2709 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image130.png"
     2709src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
    27102710v:shapes="Picture_x0020_61"><![endif]></span></p>
    27112711
     
    27532753 o:spid="_x0000_i1077" type="#_x0000_t75" style='width:468pt;height:391.5pt;
    27542754 visibility:visible;mso-wrap-style:square'>
    2755  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image131.png"
     2755 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
    27562756  o:title=""/>
    27572757</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522
    2758 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image132.png"
     2758src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
    27592759v:shapes="Picture_x0020_62"><![endif]></span></p>
    27602760
     
    27682768 o:spid="_x0000_i1076" type="#_x0000_t75" style='width:468pt;height:291.75pt;
    27692769 visibility:visible;mso-wrap-style:square'>
    2770  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image133.png"
     2770 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
    27712771  o:title=""/>
    27722772</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=389
    2773 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image134.png"
     2773src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
    27742774v:shapes="Picture_x0020_63"><![endif]></span></p>
    27752775
     
    27882788  o:title=""/>
    27892789</v:shape><![endif]--><![if !vml]><img border=0 width=623 height=191
    2790 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image139.png"
     2790src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
    27912791v:shapes="Picture_x0020_64"><![endif]></span></p>
    27922792
     
    27962796threshold</span></b> to <b style='mso-bidi-font-weight:normal'><span
    27972797style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    2798 mso-hansi-theme-font:minor-latin'>2500</span></b>; the image will be redrawn
    2799 reflecting this mask. By zooming in you may see isolated red pixels; these are
    2800 excluded points. Make sure the diffraction rings do not have any excluded
    2801 points. For <span class=GramE>example</span> with the level set to 2200 the
    2802 plot shows</p>
     2798mso-hansi-theme-font:minor-latin'>2500</span></b>; the image will be redrawn reflecting
     2799this mask. By zooming in you may see isolated red pixels; these are excluded
     2800points. Make sure the diffraction rings do not have any excluded points. For <span
     2801class=GramE>example</span> with the level set to 2200 the plot shows</p>
    28032802
    28042803<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
     
    28062805 o:spid="_x0000_i1074" type="#_x0000_t75" style='width:468pt;height:391.5pt;
    28072806 visibility:visible;mso-wrap-style:square'>
    2808  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image141.png"
     2807 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
    28092808  o:title=""/>
    28102809</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522
    2811 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image143.png"
     2810src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
    28122811v:shapes="Picture_x0020_65"><![endif]></span></p>
    28132812
     
    28312830 o:spid="_x0000_i1073" type="#_x0000_t75" style='width:468pt;height:391.5pt;
    28322831 visibility:visible;mso-wrap-style:square'>
    2833  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image145.png"
     2832 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
    28342833  o:title=""/>
    28352834</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522
    2836 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image147.png"
     2835src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
    28372836v:shapes="Picture_x0020_66"><![endif]></span></p>
    28382837
     
    29072906 o:spid="_x0000_i1072" type="#_x0000_t75" style='width:468pt;height:132pt;
    29082907 visibility:visible;mso-wrap-style:square'>
    2909  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image149.png"
     2908 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image152.png"
    29102909  o:title=""/>
    29112910</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=176
    2912 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image151.png"
     2911src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
    29132912v:shapes="Picture_x0020_68"><![endif]></span></p>
    29142913
     
    29232922  o:title=""/>
    29242923</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=176
    2925 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image154.png"
     2924src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
    29262925v:shapes="Picture_x0020_69"><![endif]></span></p>
    29272926
     
    29462945  o:title=""/>
    29472946</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=433
    2948 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image158.png"
     2947src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
    29492948v:shapes="Picture_x0020_70"><![endif]></span></p>
    29502949
     
    29562955 o:spid="_x0000_i1069" type="#_x0000_t75" style='width:468pt;height:341.25pt;
    29572956 visibility:visible;mso-wrap-style:square'>
    2958  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image159.png"
     2957 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
    29592958  o:title=""/>
    29602959</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=455
    2961 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image160.png"
     2960src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
    29622961v:shapes="Picture_x0020_71"><![endif]></span></p>
    29632962
     
    30313030<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
    30323031style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_72"
    3033  o:spid="_x0000_i1068" type="#_x0000_t75" style='width:468pt;height:270pt;
    3034  visibility:visible;mso-wrap-style:square'>
    3035  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image230.png"
    3036   o:title=""/>
    3037 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=360
    3038 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image231.png"
     3032 o:spid="_x0000_i1068" type="#_x0000_t75" style='width:388.5pt;height:270pt;
     3033 visibility:visible;mso-wrap-style:square'>
     3034 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image156.png"
     3035  o:title=""/>
     3036</v:shape><![endif]--><![if !vml]><img border=0 width=518 height=360
     3037src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
    30393038v:shapes="Picture_x0020_72"><![endif]></span></p>
    30403039
     
    30693068 o:spid="_x0000_i1067" type="#_x0000_t75" style='width:468pt;height:401.25pt;
    30703069 visibility:visible;mso-wrap-style:square'>
    3071  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image232.png"
     3070 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image243.png"
    30723071  o:title=""/>
    30733072</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    3074 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image233.png"
     3073src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image243.png"
    30753074v:shapes="Picture_x0020_73"><![endif]></span></p>
    30763075
     
    30913090<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
    30923091style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_74"
    3093  o:spid="_x0000_i1066" type="#_x0000_t75" style='width:468pt;height:164.25pt;
    3094  visibility:visible;mso-wrap-style:square'>
    3095  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image234.png"
    3096   o:title=""/>
    3097 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=219
    3098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image235.png"
     3092 o:spid="_x0000_i1066" type="#_x0000_t75" style='width:399.75pt;height:164.25pt;
     3093 visibility:visible;mso-wrap-style:square'>
     3094 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image246.png"
     3095  o:title=""/>
     3096</v:shape><![endif]--><![if !vml]><img border=0 width=533 height=219
     3097src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
    30993098v:shapes="Picture_x0020_74"><![endif]></span></p>
    31003099
     
    31163115<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
    31173116style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_75"
    3118  o:spid="_x0000_i1065" type="#_x0000_t75" style='width:468pt;height:174pt;
    3119  visibility:visible;mso-wrap-style:square'>
    3120  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image236.png"
    3121   o:title=""/>
    3122 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=232
    3123 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image237.png"
     3117 o:spid="_x0000_i1065" type="#_x0000_t75" style='width:358.5pt;height:174pt;
     3118 visibility:visible;mso-wrap-style:square'>
     3119 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
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    3141   o:title=""/>
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     3142src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
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    33003299
     
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    33273326
     
    33363335  o:title=""/>
    33373336</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    3338 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image255.png"
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    33403339
     
    33623361  o:title=""/>
    33633362</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    3364 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image258.png"
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    33663365
    33673366<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This completes
    3368 the tutorial on Method A for doing texture analysis. It is useful for a case
    3369 like this one where there are very few data sets required for the texture
    3370 analysis. However, for the case of lower sample symmetry one must several dozen
    3371 or even a few hundred histograms and then the suite of parameters can easily be
    3372 &gt; 1000 of which only a few dozen describe the texture. This leads to the
    3373 next Methods for texture analysis in GSAS-II.</p>
     3367the tutorial on Method A for doing texture analysis. It is useful for a case like
     3368this one where there are very few data sets required for the texture analysis.
     3369However, for the case of lower sample symmetry one must several dozen or even a
     3370few hundred histograms and then the suite of parameters can easily be &gt; 1000
     3371of which only a few dozen describe the texture. This leads to the next Methods
     3372for texture analysis in GSAS-II.</p>
    33743373
    33753374<h2 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:
     
    33813380
    33823381<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This begins
    3383 the texture analysis in much the same way as Method A except that all the initial
    3384 refinements are done “sequentially”, that is refinements are done for the
    3385 parameters associated with each powder pattern to convergence in a serial
     3382the texture analysis in much the same way as Method A except that all the
     3383initial refinements are done “sequentially”, that is refinements are done for
     3384the parameters associated with each powder pattern to convergence in a serial
    33863385fashion. In this case where there are 10 PWDR data sets, there will be 10
    33873386refinements done in sequence. Parameters that span all the data (e.g. lattice
     
    34803479  o:title=""/>
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    3482 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image260.png"
     3481src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
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    34843483
     
    35053504  o:title=""/>
    35063505</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=199
    3507 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image262.png"
     3506src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
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    35093508
     
    35353534  o:title=""/>
    35363535</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=176
    3537 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image264.png"
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    35393538
    35403539<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>There is a row
    3541 for each data set and columns for all refined parameters and some derived ones
    3542 along with residual and convergence indicators. The residuals are not very good
    3543 (we haven’t really refined much) but the &#916;&#967;<sup>2</sup> column shows
    3544 that convergence was achieved (NB: poor convergence will be highlighted in
    3545 yellow or red depending on how bad it is).</p>
     3540for each data set and columns for all refined parameters and some derived ones along
     3541with residual and convergence indicators. The residuals are not very good (we
     3542haven’t really refined much) but the &#916;&#967;<sup>2</sup> column shows that
     3543convergence was achieved (NB: poor convergence will be highlighted in yellow or
     3544red depending on how bad it is).</p>
    35463545
    35473546<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>If you examine
     
    35563555  o:title=""/>
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    3558 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image266.png"
     3557src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
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    35603559
     
    35693568  o:title=""/>
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    3571 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image268.png"
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    36403639  o:title=""/>
    36413640</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=421
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    38503849be <span class=GramE>repainted</span> and a bullseye pole figure will appear. </p>
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    38633897
    38643898<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Change the <b
     
    38773911  o:title=""/>
    38783912</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    3879 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image292.png"
     3913src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
    38803914v:shapes="Picture_x0020_105"><![endif]></span></p>
    38813915
     
    39003934  o:title=""/>
    39013935</v:shape><![endif]--><![if !vml]><img border=0 width=623 height=324
    3902 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image294.png"
     3936src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
    39033937v:shapes="Picture_x0020_106"><![endif]></span></p>
    39043938
     
    39133947  o:title=""/>
    39143948</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    3915 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image296.png"
     3949src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
    39163950v:shapes="Picture_x0020_107"><![endif]></span></p>
    39173951
     
    39563990
    39573991<h3 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:
    3958 0in;line-height:115%'>Step 1. Clearing unwanted variables from sequential
    3959 refinement</h3>
     39920in;line-height:115%'>Step 1. Clearing unwanted variables from sequential refinement</h3>
    39603993
    39613994<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Here we want
     
    40454078Phase/Copy flags</span></b> selecting all data to clear all the flags and an <b
    40464079style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
    4047 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit Phase/Copy
    4048 selected data</span></b> for <span class=SpellE><b style='mso-bidi-font-weight:
     4080mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit
     4081Phase/Copy selected data</span></b> for <span class=SpellE><b style='mso-bidi-font-weight:
    40494082normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
    40504083minor-latin;mso-hansi-theme-font:minor-latin'>Pref.Ori</span></b></span> to
     
    40734106  o:title=""/>
    40744107</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=236
    4075 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image298.png"
     4108src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
    40764109v:shapes="Picture_x0020_108"><![endif]></span></p>
    40774110
     
    40964129  o:title=""/>
    40974130</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=236
    4098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image300.png"
     4131src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
    40994132v:shapes="Picture_x0020_109"><![endif]></span></p>
    41004133
     
    41644197  o:title=""/>
    41654198</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    4166 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image303.png"
     4199src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
    41674200v:shapes="Picture_x0020_111"><![endif]></span></p>
    41684201
    4169 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>which is almost
    4170 identical to that from Method <span class=GramE>A.</span> The coefficients are
    4171 seen in</p>
     4202<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>which is
     4203almost identical to that from Method <span class=GramE>A.</span> The
     4204coefficients are seen in</p>
    41724205
    41734206<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
     
    41784211  o:title=""/>
    41794212</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=236
    4180 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image305.png"
     4213src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
    41814214v:shapes="Picture_x0020_112"><![endif]></span></p>
    41824215
     
    41954228  o:title=""/>
    41964229</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535
    4197 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image307.png"
     4230src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
    41984231v:shapes="Picture_x0020_113"><![endif]></span></p>
    41994232
     
    42094242  o:title=""/>
    42104243</v:shape><![endif]--><![if !vml]><img border=0 width=624 height=323
    4211 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image309.png"
     4244src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
    42124245v:shapes="Picture_x0020_114"><![endif]></span></p>
    42134246
  • Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II_files/filelist.xml

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