Changeset 1853

Timestamp:

May 14, 2015 12:08:01 PM (9 years ago)

Author:

vondreele

Message:

replace all equations with new ones

Location:

Tutorials/2DTexture

Files:

• Texture analysis of 2D data in GSAS-II.htm (modified) (66 diffs)
• Texture analysis of 2D data in GSAS-II_files/filelist.xml (modified) (2 diffs)
• Texture analysis of 2D data in GSAS-II_files/image001.png (added)
• Texture analysis of 2D data in GSAS-II_files/image002.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image003.png (added)
• Texture analysis of 2D data in GSAS-II_files/image004.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image005.png (added)
• Texture analysis of 2D data in GSAS-II_files/image006.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image007.png (added)
• Texture analysis of 2D data in GSAS-II_files/image008.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image009.png (added)
• Texture analysis of 2D data in GSAS-II_files/image010.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image011.png (added)
• Texture analysis of 2D data in GSAS-II_files/image012.png (added)
• Texture analysis of 2D data in GSAS-II_files/image013.png (added)
• Texture analysis of 2D data in GSAS-II_files/image014.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image015.png (added)
• Texture analysis of 2D data in GSAS-II_files/image016.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image017.png (added)
• Texture analysis of 2D data in GSAS-II_files/image018.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image019.png (added)
• Texture analysis of 2D data in GSAS-II_files/image020.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image021.png (added)
• Texture analysis of 2D data in GSAS-II_files/image022.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image023.png (added)
• Texture analysis of 2D data in GSAS-II_files/image024.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image025.png (added)
• Texture analysis of 2D data in GSAS-II_files/image026.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image027.png (added)
• Texture analysis of 2D data in GSAS-II_files/image028.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image029.png (added)
• Texture analysis of 2D data in GSAS-II_files/image030.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image031.png (added)
• Texture analysis of 2D data in GSAS-II_files/image032.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image033.png (added)
• Texture analysis of 2D data in GSAS-II_files/image034.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image035.png (added)
• Texture analysis of 2D data in GSAS-II_files/image036.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image037.png (added)
• Texture analysis of 2D data in GSAS-II_files/image038.png (modified) (previous)
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• Texture analysis of 2D data in GSAS-II_files/image041.png (added)
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• Texture analysis of 2D data in GSAS-II_files/image043.png (modified) (previous)
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• Texture analysis of 2D data in GSAS-II_files/image045.png (modified) (previous)
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• Texture analysis of 2D data in GSAS-II_files/image047.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image048.png (added)
• Texture analysis of 2D data in GSAS-II_files/image049.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image050.png (modified) (previous)
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• Texture analysis of 2D data in GSAS-II_files/image053.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image054.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image055.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image056.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image057.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image058.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image059.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image060.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image061.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image062.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image063.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image064.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image065.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image066.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image067.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image068.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image069.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image070.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image071.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image072.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image073.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image074.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image075.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image076.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image077.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image078.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image079.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image080.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image081.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image082.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image083.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image084.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image085.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image086.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image087.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image088.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image089.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image090.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image091.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image092.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image093.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image094.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image095.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image096.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image097.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image098.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image099.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image100.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image101.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image102.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image103.png (modified) (previous)
• Texture analysis of 2D data in GSAS-II_files/image104.png (added)
• Texture analysis of 2D data in GSAS-II_files/plchdr.htm (added)
• ~$xture analysis of 2D data in GSAS-II.htm (added)

Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II.htm

@@ -14 +14 @@
 <link rel=Edit-Time-Data
 href="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/editdata.mso">
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 <style>
@@ -27 +25 @@
   <o:Author>Von Dreele</o:Author>
   <o:LastAuthor>Von Dreele</o:LastAuthor>
-  <o:Revision>15</o:Revision>
-  <o:TotalTime>2065</o:TotalTime>
-  <o:Created>2015-05-11T19:45:00Z</o:Created>
-  <o:LastSaved>2015-05-13T21:37:00Z</o:LastSaved>
+  <o:Revision>2</o:Revision>
+  <o:TotalTime>2121</o:TotalTime>
+  <o:Created>2015-05-14T17:06:00Z</o:Created>
+  <o:LastSaved>2015-05-14T17:06:00Z</o:LastSaved>
   <o:Pages>1</o:Pages>
-  <o:Words>4276</o:Words>
-  <o:Characters>24374</o:Characters>
+  <o:Words>4348</o:Words>
+  <o:Characters>24789</o:Characters>
   <o:Company>Argonne National Laboratory</o:Company>
-  <o:Lines>203</o:Lines>
-  <o:Paragraphs>57</o:Paragraphs>
-  <o:CharactersWithSpaces>28593</o:CharactersWithSpaces>
+  <o:Lines>206</o:Lines>
+  <o:Paragraphs>58</o:Paragraphs>
+  <o:CharactersWithSpaces>29079</o:CharactersWithSpaces>
   <o:Version>15.00</o:Version>
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@@ -664 +662 @@
  </w:LatentStyles>
 </xml><![endif]-->
+<link rel=plchdr
+href="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/plchdr.htm">
 <style>
 <!--
@@ -670 +670 @@
         {font-family:"Cambria Math";
         panose-1:2 4 5 3 5 4 6 3 2 4;
-        mso-font-charset:1;
+        mso-font-charset:0;
         mso-generic-font-family:roman;
-        mso-font-format:other;
         mso-font-pitch:variable;
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@@ -1417 +1416 @@
 modeling, as described by Bunge, &quot;Texture Analysis in Materials
 Science&quot; (1982), and implemented by Von Dreele, J. Appl. <span
-class=SpellE>Cryst</span>., <b style='mso-bidi-font-weight:normal'>30</b>,
-517-525 (1997) in GSAS. The even part of the orientation distribution function
-(ODF) via the general axis equation</p>
-
-<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
--14.0pt'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600"
- o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f"
- stroked="f">
+class=SpellE>Cryst</span>., <b style='mso-bidi-font-weight:normal'>30</b>, 517-525
+(1997) in GSAS. The even part of the orientation distribution function (ODF)
+via the general axis equation</p>
+
+<p class=MsoNormal><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span
+  style='font-family:"Cambria Math",serif'><m:r>A</m:r></span></i><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>h</m:r><m:r>,</m:r><m:r>y</m:r></span></i></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=1+</m:r></span></i><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='mso-bidi-font-size:
+    10.0pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>=2</m:r></span></i></m:sub><m:sup><m:sSub><m:sSubPr><span
+      style='mso-bidi-font-size:10.0pt;font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>N</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub></m:sSub></m:sup><m:e><m:f><m:fPr><span
+      style='mso-bidi-font-size:10.0pt;font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>4</m:r><m:r>&#960;</m:r></span></i></m:num><m:den><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:den></m:f><m:nary><m:naryPr><m:chr
+       m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='mso-bidi-font-size:
+      10.0pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:nary><m:naryPr><m:chr
+         m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='mso-bidi-font-size:
+        10.0pt;font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+        mso-fareast-font-family:"Times New Roman";mso-hansi-font-family:"Cambria Math";
+        font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
+          style='mso-bidi-font-size:10.0pt;font-family:"Cambria Math",serif;
+          mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
+          mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+          normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+          style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i
+          style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+          style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary></m:e></m:nary><m:sSubSup><m:sSubSupPr><span
+      style='mso-bidi-font-size:10.0pt;font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>h</m:r><m:r>)</m:r></span></i><m:sSubSup><m:sSubSupPr><span
+    style='mso-bidi-font-size:10.0pt;font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-fareast-font-family:"Times New Roman";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>y</m:r><m:r>)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shapetype
+ id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t"
+ path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f">
  <v:stroke joinstyle="miter"/>
  <v:formulas>
@@ -1442 +1502 @@
  <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/>
  <o:lock v:ext="edit" aspectratio="t"/>
-</v:shapetype><v:shape id="_x0000_i1038" type="#_x0000_t75" style='width:219.75pt;
- height:35.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image001.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=293 height=47
+</v:shapetype><v:shape id="_x0000_i1025" type="#_x0000_t75" style='width:267.75pt;
+ height:42pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image001.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=357 height=56
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image002.png"
-v:shapes="_x0000_i1038"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1038"
-  DrawAspect="Content" ObjectID="_1493040239">
- </o:OLEObject>
-</xml><![endif]--></p>
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
 
 <p class=gsastext><span class=GramE>is</span> used to give the intensity
-corrections due to texture. The two harmonic terms, <span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1039"
- type="#_x0000_t75" style='width:30.75pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image003.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=41 height=24
+corrections due to texture. The two harmonic terms, <!--[if gte msEquation 12]><m:oMath><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><w:Sdt
+  ShowingPlcHdr="t" Temporary="t" Equation="t"
+  DocPart="5A1AF1CD80C54DC98EA094C12465F069" ID="1604071880"><span
+  class=MsoPlaceholderText><span style='mso-fareast-font-family:Calibri;
+  mso-fareast-theme-font:minor-latin'><m:r>Type equation here.</m:r></span></span></w:Sdt></span></i><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>h</m:r></span></i></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:136.5pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image003.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=182 height=35
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.png"
-v:shapes="_x0000_i1039"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1039"
-  DrawAspect="Content" ObjectID="_1493040240">
- </o:OLEObject>
-</xml><![endif]--><span class=GramE>and </span><span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1040"
- type="#_x0000_t75" style='width:30pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=40 height=24
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span><span class=GramE>and </span><!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>y</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:30pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=40 height=35
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png"
-v:shapes="_x0000_i1040"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1040"
-  DrawAspect="Content" ObjectID="_1493040241">
- </o:OLEObject>
-</xml><![endif]-->, take on values according to the crystal and sample
-symmetries, respectively, and thus the two inner summations are over only the
-resulting unique, nonzero harmonic terms. These unique terms are automatically
-selected by <span style='mso-bidi-font-weight:bold'>GSAS-II</span> according to
-the space group symmetry and the user chosen sample symmetry. The available
-sample symmetries are cylindrical symmetry, 2/m, mmm and no symmetry. The
-choice of sample symmetry profoundly affects the selection of harmonic
-coefficients. For example, in the case of cylindrical sample symmetry (fiber
-texture) only <span style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1041" type="#_x0000_t75" style='width:30pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image007.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=40 height=24
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, take on values according
+to the crystal and sample symmetries, respectively, and thus the two inner
+summations are over only the resulting unique, nonzero harmonic terms. These
+unique terms are automatically selected by <span style='mso-bidi-font-weight:
+bold'>GSAS-II</span> according to the space group symmetry and the user chosen
+sample symmetry. The available sample symmetries are cylindrical symmetry, 2/m,
+mmm and no symmetry. The choice of sample symmetry profoundly affects the
+selection of harmonic coefficients. For example, in the case of cylindrical
+sample symmetry (fiber texture) only <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>y</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:29.25pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image007.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=39 height=35
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image008.png"
-v:shapes="_x0000_i1041"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1041"
-  DrawAspect="Content" ObjectID="_1493040242">
- </o:OLEObject>
-</xml><![endif]--><span style='mso-spacerun:yes'> </span>terms are nonzero so
-the rest are excluded from the summations and the set of <span
-style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1043" type="#_x0000_t75" style='width:21.75pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image009.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=29 height=24
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span>terms are nonzero so the rest are excluded
+from the summations and the set of <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>0</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:21pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image009.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=28 height=35
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image010.png"
-v:shapes="_x0000_i1043"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1043"
-  DrawAspect="Content" ObjectID="_1493040243">
- </o:OLEObject>
-</xml><![endif]-->coefficients is sufficient to describe the effect on the
-diffraction patterns due to texture. The crystal harmonic factor, <span
-style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1042" type="#_x0000_t75" style='width:30.75pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image011.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=41 height=24
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.png"
-v:shapes="_x0000_i1042"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1042"
-  DrawAspect="Content" ObjectID="_1493040244">
- </o:OLEObject>
-</xml><![endif]-->, is defined for each reflection, h, <i>via</i> polar and
-azimuthal coordinates (<span style='font-family:Symbol'>f</span>, <span
-style='font-family:Symbol'>b</span>) of a unit vector coincident with h
-relative to the reciprocal lattice. For most crystal symmetries, <span
-style='font-family:Symbol'>f</span> is the angle between h and the n-<span
-class=SpellE>th</span> order major rotation axis of the space group (usually
-the c-axis) and <span style='font-family:Symbol'>b</span> is the angle between
-the projections of h and any secondary axis (usually the a-axis) onto the
-normal plane.<span style='mso-spacerun:yes'>  </span>In a similar way the
-sample harmonic factor, <span style='position:relative;top:5.0pt;mso-text-raise:
--5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75"
- style='width:32.25pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image012.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=43 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png"
-v:shapes="_x0000_i1025"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1025"
-  DrawAspect="Content" ObjectID="_1493040245">
- </o:OLEObject>
-</xml><![endif]-->, is defined according to polar and azimuthal coordinates (<span
-style='font-family:Symbol'>y</span>, <span style='font-family:Symbol'>g</span>)
-of a unit vector coincident with the diffraction vector relative to a
-coordinate system attached to the external form of the sample. For example, in
-the case of a rolled steel plate having mmm symmetry, the polar angle, <span
-style='font-family:Symbol'>y</span>, is frequently measured from the normal
-direction (ND) and <span style='font-family:Symbol'>g</span> is then measured
-from the rolling direction (RD) in the TD (transverse direction) - RD
-plane.<span style='mso-spacerun:yes'>  </span>Thus, the general axis equation
-becomes</p>
-
-<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
--14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1044" type="#_x0000_t75"
- style='width:272.25pt;height:35.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image014.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=363 height=47
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image015.png"
-v:shapes="_x0000_i1044"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1044"
-  DrawAspect="Content" ObjectID="_1493040246">
- </o:OLEObject>
-</xml><![endif]--><br style='mso-special-character:line-break'>
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>coefficients is sufficient
+to describe the effect on the diffraction patterns due to texture. The crystal
+harmonic factor, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(h)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:32.25pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image011.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=43 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image012.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, is defined for each
+reflection, h, <i>via</i> polar and azimuthal coordinates (<span
+style='font-family:Symbol'>f</span>, <span style='font-family:Symbol'>b</span>)
+of a unit vector coincident with h relative to the reciprocal lattice. For most
+crystal symmetries, <span style='font-family:Symbol'>f</span> is the angle
+between h and the n-<span class=SpellE>th</span> order major rotation axis of
+the space group (usually the c-axis) and <span style='font-family:Symbol'>b</span>
+is the angle between the projections of h and any secondary axis (usually the
+a-axis) onto the normal plane.<span style='mso-spacerun:yes'>  </span>In a
+similar way the sample harmonic factor, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>y</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:30pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=40 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, is defined according to
+polar and azimuthal coordinates (<span style='font-family:Symbol'>y</span>, <span
+style='font-family:Symbol'>g</span>) of a unit vector coincident with the
+diffraction vector relative to a coordinate system attached to the external
+form of the sample. For example, in the case of a rolled steel plate having mmm
+symmetry, the polar angle, <span style='font-family:Symbol'>y</span>, is
+frequently measured from the normal direction (ND) and <span style='font-family:
+Symbol'>g</span> is then measured from the rolling direction (RD) in the TD
+(transverse direction) - RD plane.<span style='mso-spacerun:yes'>  </span>Thus,
+the general axis equation becomes</p>
+
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span
+  style='font-family:"Cambria Math",serif'><m:r>A</m:r></span></i><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>&#981;</m:r><m:r>,</m:r><m:r>&#946;</m:r><m:r>,</m:r><m:r>&#968;</m:r><m:r>,</m:r><m:r>&#947;</m:r></span></i></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=1+</m:r></span></i><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>=2</m:r></span></i></m:sub><m:sup><m:sSub><m:sSubPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>N</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub></m:sSub></m:sup><m:e><m:f><m:fPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>4</m:r><m:r>&#960;</m:r></span></i></m:num><m:den><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:den></m:f></m:e></m:nary><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:nary><m:naryPr><m:chr
+       m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:
+      "Cambria Math",serif;mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:
+      "Cambria Math";font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
+        style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+        mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+        normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:sSubSup><m:sSubSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r><m:r>,</m:r><m:r>&#946;</m:r></span></i></m:e></m:d></m:e></m:nary><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>&#968;</m:r><m:r>,</m:r><m:r>&#947;</m:r><m:r>)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:321pt;height:54pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=428 height=72
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image014.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><br style='mso-special-character:
+line-break'>
 <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'>
 <![endif]></p>
@@ -1576 +1732 @@
 an instrument coordinate system (I, J, K) such that K is normal to the
 diffraction plane and J is coincident with the direction of the incident
-radiation beam toward the source. We further define a standard set of right-handed
-goniometer <span class=SpellE>eulerian</span> angles (<span style='font-family:
-Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, <span
-style='font-family:Symbol'>F</span>) so that <span style='font-family:Symbol'>W</span>
-and <span style='font-family:Symbol'>F</span> are rotations about K and <span
-style='font-family:Symbol'>C</span> is a rotation about J when <span
-style='font-family:Symbol'>W</span> <span style='font-family:Symbol'><span
+radiation beam toward the source. We further define a standard set of
+right-handed goniometer <span class=SpellE>eulerian</span> angles (<span
+style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>,
+<span style='font-family:Symbol'>F</span>) so that <span style='font-family:
+Symbol'>W</span> and <span style='font-family:Symbol'>F</span> are rotations
+about K and <span style='font-family:Symbol'>C</span> is a rotation about J
+when <span style='font-family:Symbol'>W</span> <span style='font-family:Symbol'><span
 style='mso-spacerun:yes'> </span></span>= 0.<span style='mso-spacerun:yes'> 
 </span>Finally, as the sample may be mounted so that the sample coordinate
-system (I<sub>s</sub>, <span class=SpellE>J<sub>s</sub></span>, K<sub>s</sub>) does
-not coincide with the instrument coordinate system (I, J, K), we define three <span
-class=SpellE>eulerian</span> sample rotation offset angles (<span
+system (I<sub>s</sub>, <span class=SpellE>J<sub>s</sub></span>, K<sub>s</sub>)
+does not coincide with the instrument coordinate system (I, J, K), we define
+three <span class=SpellE>eulerian</span> sample rotation offset angles (<span
 style='font-family:Symbol'>W</span><sub>s</sub>, <span style='font-family:Symbol'>C</span><sub>s</sub>,
 <span style='font-family:Symbol'>F</span><sub>s</sub>) that describe the
@@ -1616 +1772 @@
 
 <p class=gsastext><span class=GramE><i>cos</i>(</span><span style='font-family:
-Symbol'>y</span>) = <b style='mso-bidi-font-weight:normal'><span
-style='position:relative;top:25.0pt;mso-text-raise:-25.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1046" type="#_x0000_t75" style='width:33.75pt;height:56.25pt'
- o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image016.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=45 height=75
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image017.png"
-v:shapes="_x0000_i1046"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1046"
-  DrawAspect="Content" ObjectID="_1493040247">
- </o:OLEObject>
-</xml><![endif]--></b><span style='mso-spacerun:yes'>  </span>and<span
-style='mso-spacerun:yes'>   </span><i>tan</i>(<span style='font-family:Symbol'>g</span>)
-= <span style='position:relative;top:25.0pt;mso-text-raise:-25.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1045" type="#_x0000_t75" style='width:81.75pt;height:56.25pt'
- o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image018.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=109 height=75
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image019.png"
-v:shapes="_x0000_i1045"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1045"
-  DrawAspect="Content" ObjectID="_1493040249">
- </o:OLEObject>
-</xml><![endif]--></p>
-
-<p class=gsastext>The harmonic terms, <span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1047"
- type="#_x0000_t75" style='width:44.25pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=59 height=24
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image021.png"
-v:shapes="_x0000_i1047"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1047"
-  DrawAspect="Content" ObjectID="_1493040250">
- </o:OLEObject>
-</xml><![endif]--><span class=GramE>and </span><span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1048"
- type="#_x0000_t75" style='width:42.75pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=57 height=24
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image023.png"
-v:shapes="_x0000_i1048"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1048"
-  DrawAspect="Content" ObjectID="_1493040251">
- </o:OLEObject>
-</xml><![endif]-->, are developed from</p>
-
-<p class=gsastext><span style='position:relative;top:8.0pt;mso-text-raise:-8.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1049" type="#_x0000_t75" style='width:138pt;height:21pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image024.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=184 height=28
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image025.png"
-v:shapes="_x0000_i1049"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1049"
-  DrawAspect="Content" ObjectID="_1493040252">
- </o:OLEObject>
-</xml><![endif]--></p>
+Symbol'>y</span>) = <!--[if gte msEquation 12]><m:oMath><i style='mso-bidi-font-style:
+ normal'><span style='font-family:"Cambria Math",serif'><m:r>M</m:r></span></i><m:d><m:dPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count
+         m:val="1"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span
+     style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+     mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+     normal'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:15.0pt;mso-text-raise:-15.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:33.75pt;height:50.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image015.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=45 height=67
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image016.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span>and<span style='mso-spacerun:yes'>   </span><i>tan</i>(<span
+style='font-family:Symbol'>g</span>) = <!--[if gte msEquation 12]><m:oMath><m:f><m:fPr><m:type
+    m:val="lin"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+   "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+   mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>M</m:r></span></i><m:d><m:dPr><span
+     style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+     mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+     normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count
+           m:val="1"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span
+       style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+       mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+       normal'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:e></m:mr><m:mr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:num><m:den><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>M</m:r></span></i><m:d><m:dPr><span
+     style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+     mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+     normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:m><m:mPr><m:mcs><m:mc><m:mcPr><m:count
+           m:val="1"/><m:mcJc m:val="center"/></m:mcPr></m:mc></m:mcs><span
+       style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+       mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+       normal'><m:ctrlPr></m:ctrlPr></span></m:mPr><m:mr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:e></m:mr><m:mr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr><m:mr><m:e><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>0</m:r></span></i></m:e></m:mr></m:m></m:e></m:d></m:den></m:f></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:15.0pt;mso-text-raise:-15.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:80.25pt;height:50.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image017.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=107 height=67
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image018.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
+
+<p class=gsastext>The harmonic terms, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>&#966;</m:r><m:r>,</m:r><m:r>&#946;</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:46.5pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image019.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=62 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span><span class=GramE>and </span><!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>&#968;</m:r><m:r>,</m:r><m:r>&#947;</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:42.75pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image021.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=57 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, are developed from</p>
+
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r><m:r>,</m:r><m:r>&#946;</m:r></span></i></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:f><m:fPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:num><m:den><m:rad><m:radPr><m:degHide
+       m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+      "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+      mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>&#960;</m:r></span></i></m:e></m:rad></m:den></m:f><m:sSup><m:sSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>e</m:r></span></i></m:e><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>im&#946;</m:r></span></i></m:sup></m:sSup><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+       m:val="&#773;"/><span style='font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+     </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+  normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+    style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+       m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r></span></i></m:e></m:func><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:165pt;height:42pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image023.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=220 height=56
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image024.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
 
 <p class=gsastext><span class=GramE>where</span> the normalized associated
-Legendre functions, <span style='position:relative;top:5.0pt;mso-text-raise:
--5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1050" type="#_x0000_t75"
- style='width:33.75pt;height:18pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image026.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=45 height=24
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image027.png"
-v:shapes="_x0000_i1050"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1050"
-  DrawAspect="Content" ObjectID="_1493040253">
- </o:OLEObject>
-</xml><![endif]-->, are defined via a Fourier expansion as</p>
-
-<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
--14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1051" type="#_x0000_t75"
- style='width:132.75pt;height:33.75pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image028.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=177 height=45
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image029.png"
-v:shapes="_x0000_i1051"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1051"
-  DrawAspect="Content" ObjectID="_1493040254">
- </o:OLEObject>
-</xml><![endif]--></p>
+Legendre functions, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+      m:val="&#773;"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+     "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+     mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+     style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>x</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:33.25pt;height:26.3pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image025.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=44 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image026.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, are defined via a Fourier
+expansion as</p>
+
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+       m:val="&#773;"/><span style='font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+     </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:func><m:funcPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+      style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+         m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r></span></i></m:e></m:func></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>s</m:r><m:r>=0</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>a</m:r><m:r>'</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+       </m:r><m:r>ms</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:func><m:funcPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+    style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+       m:val="p"/></m:rPr>sin</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>s&#966;</m:r><m:r>)</m:r></span></i></m:e></m:func></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:154.4pt;height:52.6pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image027.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=206 height=70
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image028.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
 
 <p class=gsastext><span class=GramE>for</span> m even and</p>
 
-<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
--14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1052" type="#_x0000_t75"
- style='width:132pt;height:33.75pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image030.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=176 height=45
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image031.png"
-v:shapes="_x0000_i1052"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1052"
-  DrawAspect="Content" ObjectID="_1493040255">
- </o:OLEObject>
-</xml><![endif]--></p>
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+       m:val="&#773;"/><span style='font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+     </m:r><m:r>ms</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:func><m:funcPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+      style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+         m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r></span></i></m:e></m:func></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>s</m:r><m:r>=1</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>a</m:r><m:r>'</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+       </m:r><m:r>ms</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:func><m:funcPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+    style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+       m:val="p"/></m:rPr>sin</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>s&#966;</m:r><m:r>)</m:r></span></i></m:e></m:func></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:158.55pt;height:52.6pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image029.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=211 height=70
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image030.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
 
 <p class=gsastext><span class=GramE>for</span> m odd.<span
 style='mso-spacerun:yes'>  </span>Each sum is only over either the even or odd
 values of s, respectively, because of the properties of the Fourier
-coefficients<span class=GramE>, </span><span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1026"
- type="#_x0000_t75" style='width:23.25pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image032.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=31 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png"
-v:shapes="_x0000_i1026"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1026"
-  DrawAspect="Content" ObjectID="_1493040256">
- </o:OLEObject>
-</xml><![endif]-->.<span style='mso-spacerun:yes'>  </span>These Fourier
-coefficients are determined so that the definition</p>
-
-<p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
--16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75"
- style='width:356.25pt;height:38.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image034.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=475 height=51
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image035.png"
-v:shapes="_x0000_i1027"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027"
-  DrawAspect="Content" ObjectID="_1493040257">
- </o:OLEObject>
-</xml><![endif]--></p>
+coefficients<span class=GramE>, </span><!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>a</m:r><m:r>'</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+    </m:r><m:r>ms</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:24.9pt;height:26.3pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image031.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=33 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image032.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span
+style='mso-spacerun:yes'>  </span>These Fourier coefficients are determined so
+that the definition</p>
+
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+       m:val="&#773;"/><span style='font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+     </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:func><m:funcPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+      style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+         m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r></span></i></m:e></m:func></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+       m:val="&#773;"/><span style='font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+     </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>x</m:r></span></i></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:rad><m:radPr><m:degHide
+     m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+    "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+    mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><m:f><m:fPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:d><m:dPr><span
+        style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+        mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+        normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+        normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>+</m:r><m:r>m</m:r></span></i></m:e></m:d><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>!</m:r></span></i></m:num><m:den><m:d><m:dPr><span
+        style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+        mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+        normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+        normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>m</m:r></span></i></m:e></m:d><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>!</m:r></span></i></m:den></m:f></m:e></m:rad><m:rad><m:radPr><m:degHide
+     m:val="on"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+    "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+    mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:radPr><m:deg></m:deg><m:e><m:f><m:fPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:num><m:den><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:den></m:f></m:e></m:rad><m:f><m:fPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:sSup><m:sSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>(-1)</m:r></span></i></m:e><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>m</m:r></span></i></m:sup></m:sSup></m:num><m:den><m:sSup><m:sSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:e><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup></m:sSup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>!</m:r></span></i></m:den></m:f><m:sSup><m:sSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>(1-</m:r></span></i><m:sSup><m:sSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>x</m:r></span></i></m:e><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:sup></m:sSup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:e><m:sup><m:f><m:fPr><m:type
+       m:val="lin"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+      "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+      mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>-</m:r><m:r>m</m:r></span></i></m:num><m:den><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:den></m:f></m:sup></m:sSup><m:f><m:fPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><m:sSup><m:sSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>d</m:r></span></i></m:e><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>m</m:r></span></i></m:sup></m:sSup></m:num><m:den><m:sSup><m:sSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>dx</m:r></span></i></m:e><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>-</m:r><m:r>m</m:r></span></i></m:sup></m:sSup></m:den></m:f><m:sSup><m:sSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>(1-</m:r></span></i><m:sSup><m:sSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>x</m:r></span></i></m:e><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:sup></m:sSup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:e><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup></m:sSup></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:423.75pt;height:55.5pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=565 height=74
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image034.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
 
 <p class=gsastext><span class=GramE>is</span> satisfied.<span
-style='mso-spacerun:yes'>  </span>Terms of the form <span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1028"
- type="#_x0000_t75" style='width:92.25pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image036.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=123 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image037.png"
-v:shapes="_x0000_i1028"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1028"
-  DrawAspect="Content" ObjectID="_1493040258">
- </o:OLEObject>
-</xml><![endif]--><span style='mso-spacerun:yes'> </span>and <span
-style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1029" type="#_x0000_t75" style='width:90pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image038.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=120 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png"
-v:shapes="_x0000_i1029"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1029"
-  DrawAspect="Content" ObjectID="_1493040259">
- </o:OLEObject>
-</xml><![endif]-->are combined depending on the symmetry and the value of m
-along with appropriate normalization coefficients to give the harmonic terms <span
-style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1030" type="#_x0000_t75" style='width:44.25pt;height:20.25pt'
- o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=59 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png"
-v:shapes="_x0000_i1030"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1030"
-  DrawAspect="Content" ObjectID="_1493040260">
- </o:OLEObject>
-</xml><![endif]--><span class=GramE>and </span><span style='position:relative;
-top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1031"
- type="#_x0000_t75" style='width:44.25pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image042.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=59 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image043.png"
-v:shapes="_x0000_i1031"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1031"
-  DrawAspect="Content" ObjectID="_1493040261">
- </o:OLEObject>
-</xml><![endif]-->.<span style='mso-spacerun:yes'>  </span>For cubic crystal
-symmetry, the term <span style='position:relative;top:5.0pt;mso-text-raise:
--5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75"
- style='width:44.25pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image044.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=59 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png"
-v:shapes="_x0000_i1032"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1032"
-  DrawAspect="Content" ObjectID="_1493040262">
- </o:OLEObject>
-</xml><![endif]-->is obtained directly from the Fourier expansion</p>
-
-<p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
--16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1033" type="#_x0000_t75"
- style='width:167.25pt;height:38.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image045.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=223 height=51
+style='mso-spacerun:yes'>  </span>Terms of the form <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+   style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+      m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>m&#946;</m:r><m:r>)</m:r></span></i></m:e></m:func><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+      m:val="&#773;"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+     "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+     mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+     style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+    </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+ normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+   style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+      m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>m&#946;</m:r></span></i></m:e></m:func><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:111pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image035.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=148 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image036.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+   style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+      m:val="p"/></m:rPr>sin</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>m&#946;</m:r><m:r>)</m:r></span></i></m:e></m:func><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+      m:val="&#773;"/><span style='font-family:"Cambria Math",serif;mso-ascii-font-family:
+     "Cambria Math";mso-hansi-font-family:"Cambria Math";font-style:italic;
+     mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+     style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+    </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+ normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+   style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+      m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r></span></i></m:e></m:func><i
+ style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:100.5pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image037.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=134 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image038.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span>are combined depending on the symmetry and the
+value of m along with appropriate normalization coefficients to give the
+harmonic terms <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+    </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+ normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>&#966;</m:r><m:r>,</m:r><m:r>&#946;</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:48pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=64 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span><span class=GramE>and </span><!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+    </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+ normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>&#968;</m:r><m:r>,</m:r><m:r>&#947;</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:45pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=60 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image042.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span
+style='mso-spacerun:yes'>  </span>For cubic crystal symmetry, the term <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+    </m:r><m:r>m</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+ normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r><m:r>&#966;</m:r><m:r>,</m:r><m:r>&#946;</m:r><m:r>)</m:r></span></i></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:48pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=64 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span>is obtained directly from the Fourier
+expansion</p>
+
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>k</m:r></span></i></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r></span></i></m:sup></m:sSubSup><m:d><m:dPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r><m:r>,</m:r><m:r>&#946;</m:r></span></i></m:e></m:d><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>=</m:r></span></i><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=0</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSubSup><m:sSubSupPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>B</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>nm</m:r></span></i></m:sup></m:sSubSup></m:e></m:nary><m:sSubSup><m:sSubSupPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><m:acc><m:accPr><m:chr
+       m:val="&#773;"/><span style='font-family:"Cambria Math",serif;
+      mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+      font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:accPr><m:e><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>P</m:r></span></i></m:e></m:acc></m:e><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>
+     </m:r><m:r>n</m:r></span></i></m:sup></m:sSubSup><i style='mso-bidi-font-style:
+  normal'><span style='font-family:"Cambria Math",serif'><m:r>(</m:r></span></i><m:func><m:funcPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+    style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+       m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>&#966;</m:r></span></i></m:e></m:func><i
+  style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>)</m:r></span></i><m:func><m:funcPr><span
+    style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+    mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+    normal'><m:ctrlPr></m:ctrlPr></span></m:funcPr><m:fName><span
+    style='font-family:"Cambria Math",serif'><m:r><m:rPr><m:scr m:val="roman"/><m:sty
+       m:val="p"/></m:rPr>cos</m:r></span></m:fName><m:e><i style='mso-bidi-font-style:
+    normal'><span style='font-family:"Cambria Math",serif'><m:r>n&#946;</m:r></span></i></m:e></m:func></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:193.5pt;height:52.5pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image043.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=258 height=70
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image044.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
+
+<p class=gsastext><span class=GramE>using</span> the coefficients, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>B</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>nm</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:22.5pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image045.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=30 height=35
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image046.png"
-v:shapes="_x0000_i1033"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1033"
-  DrawAspect="Content" ObjectID="_1493040263">
- </o:OLEObject>
-</xml><![endif]--></p>
-
-<p class=gsastext><span class=GramE>using</span> the coefficients, <span
-style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
- id="_x0000_i1034" type="#_x0000_t75" style='width:24pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=32 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png"
-v:shapes="_x0000_i1034"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1034"
-  DrawAspect="Content" ObjectID="_1493040264">
- </o:OLEObject>
-</xml><![endif]-->, as tabulated by Bunge (1982). </p>
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, as tabulated by Bunge
+(1982). </p>
 
 <p class=gsastext>The Rietveld refinement of texture then proceeds by
 constructing derivatives of the profile intensities with respect to the allowed
-harmonic coefficients, <span style='position:relative;top:5.0pt;mso-text-raise:
--5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1035" type="#_x0000_t75"
- style='width:24pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=32 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
-v:shapes="_x0000_i1035"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1035"
-  DrawAspect="Content" ObjectID="_1493040265">
- </o:OLEObject>
-</xml><![endif]-->, and the three sample orientation angles, <span
+harmonic coefficients, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:21.75pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=29 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample
+orientation angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span
+style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family:Symbol'>F</span><sub>s</sub>,
+all of which can be adjustable parameters of the refinement. Once the
+refinement is complete, pole figures for any reflection may be constructed by
+use of the general axis equation, the refined values for <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+   style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+   mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+   normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i style='mso-bidi-font-style:
+   normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+   style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:oMath><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;position:relative;
+top:3.0pt;mso-text-raise:-3.0pt;mso-ansi-language:EN-US;mso-fareast-language:
+EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025"
+ type="#_x0000_t75" style='width:21.75pt;height:26.25pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=29 height=35
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
+style='mso-spacerun:yes'> </span>and the sample orientation angles <span
 style='font-family:Symbol'>W</span><sub>s</sub>, <span style='font-family:Symbol'>C</span><sub>s</sub>,
-<span style='font-family:Symbol'>F</span><sub>s</sub>, all of which can be
-adjustable parameters of the refinement. Once the refinement is complete, pole
-figures for any reflection may be constructed by use of the general axis
-equation, the refined values for <span style='position:relative;top:5.0pt;
-mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1036" type="#_x0000_t75"
- style='width:24pt;height:20.25pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=32 height=27
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
-v:shapes="_x0000_i1036"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1036"
-  DrawAspect="Content" ObjectID="_1493040266">
- </o:OLEObject>
-</xml><![endif]-->and the sample orientation angles <span style='font-family:
-Symbol'>W</span><sub>s</sub>, <span style='font-family:Symbol'>C</span><sub>s</sub>,
 <span class=GramE><span style='font-family:Symbol'>F</span></span><sub>s</sub>.
 </p>
@@ -1875 +2455 @@
 index by</p>
 
-<p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
--16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1037" type="#_x0000_t75"
- style='width:167.25pt;height:39pt' o:ole="">
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.wmz"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img width=223 height=52
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
-v:shapes="_x0000_i1037"><![endif]></span><!--[if gte mso 9]><xml>
- <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1037"
-  DrawAspect="Content" ObjectID="_1493040267">
- </o:OLEObject>
-</xml><![endif]--></p>
+<p class=gsastext><!--[if gte msEquation 12]><m:oMathPara><m:oMathParaPr><m:jc
+   m:val="left"/></m:oMathParaPr><m:oMath><i style='mso-bidi-font-style:normal'><span
+  style='font-family:"Cambria Math",serif'><m:r>J</m:r><m:r>=1+</m:r></span></i><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r><m:r>=2</m:r></span></i></m:sub><m:sup><m:sSub><m:sSubPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:sSubPr><m:e><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>N</m:r></span></i></m:e><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub></m:sSub></m:sup><m:e><m:f><m:fPr><span
+      style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+      mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+      normal'><m:ctrlPr></m:ctrlPr></span></m:fPr><m:num><i style='mso-bidi-font-style:
+      normal'><span style='font-family:"Cambria Math",serif'><m:r>1</m:r></span></i></m:num><m:den><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r><m:r>L</m:r><m:r>+1</m:r></span></i></m:den></m:f></m:e></m:nary><m:nary><m:naryPr><m:chr
+     m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:"Cambria Math",serif;
+    mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+    font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>m</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i
+    style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:nary><m:naryPr><m:chr
+       m:val="&#8721;"/><m:limLoc m:val="undOvr"/><span style='font-family:
+      "Cambria Math",serif;mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:
+      "Cambria Math";font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:naryPr><m:sub><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>n</m:r><m:r>=-</m:r><m:r>L</m:r></span></i></m:sub><m:sup><i
+      style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sup><m:e><m:sSup><m:sSupPr><span
+        style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+        mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+        normal'><m:ctrlPr></m:ctrlPr></span></m:sSupPr><m:e><m:d><m:dPr><m:begChr
+           m:val="|"/><m:endChr m:val="|"/><span style='font-family:"Cambria Math",serif;
+          mso-ascii-font-family:"Cambria Math";mso-hansi-font-family:"Cambria Math";
+          font-style:italic;mso-bidi-font-style:normal'><m:ctrlPr></m:ctrlPr></span></m:dPr><m:e><m:sSubSup><m:sSubSupPr><span
+            style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math";
+            mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style:
+            normal'><m:ctrlPr></m:ctrlPr></span></m:sSubSupPr><m:e><i
+            style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>C</m:r></span></i></m:e><m:sub><i
+            style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>L</m:r></span></i></m:sub><m:sup><i
+            style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>mn</m:r></span></i></m:sup></m:sSubSup></m:e></m:d></m:e><m:sup><i
+        style='mso-bidi-font-style:normal'><span style='font-family:"Cambria Math",serif'><m:r>2</m:r></span></i></m:sup></m:sSup></m:e></m:nary></m:e></m:nary></m:oMath></m:oMathPara><![endif]--><![if !msEquation]><span
+style='font-size:12.0pt;font-family:"Times New Roman",serif;mso-fareast-font-family:
+"Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US;
+mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape
+ id="_x0000_i1025" type="#_x0000_t75" style='width:180.75pt;height:54pt'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.png"
+  o:title="" chromakey="white"/>
+</v:shape><![endif]--><![if !vml]><img width=241 height=72
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
+v:shapes="_x0000_i1025"><![endif]></span><![endif]></p>
 
 <p class=gsastext>If the texture is random then J = 1, otherwise J &gt; 1; for
@@ -1920 +2537 @@
 <p class=MsoNormal>If you have not done so already, <u><span style='color:#0070C0'><a
 href="Starting%20GSAS.htm"><span style='color:windowtext;text-decoration:none;
-text-underline:none'>start GSAS-II</span></a></span></u>. Note that menu
-entries are listed in <b style='mso-bidi-font-weight:normal'><span
-style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
-mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font:
-minor-latin'>bold face</span></b> below as <b style='mso-bidi-font-weight:normal'><span
+text-underline:none'>start GSAS-II</span></a></span></u>. Note that menu entries
+are listed in <b style='mso-bidi-font-weight:normal'><span style='font-family:
+"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
+minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin'>bold
+face</span></b> below as <b style='mso-bidi-font-weight:normal'><span
 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
 mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font:
@@ -1950 +2567 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_29" o:spid="_x0000_i1109" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_29" o:spid="_x0000_i1081" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png"
 v:shapes="Picture_x0020_29"><![endif]></span></p>
 
@@ -1964 +2581 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_30" o:spid="_x0000_i1108" type="#_x0000_t75" style='width:472.5pt;
+ id="Picture_x0020_30" o:spid="_x0000_i1080" type="#_x0000_t75" style='width:472.5pt;
  height:388.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=518
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
 v:shapes="Picture_x0020_30"><![endif]></span></p>
 
@@ -1992 +2609 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_31" o:spid="_x0000_i1107" type="#_x0000_t75" style='width:472.5pt;
+ id="Picture_x0020_31" o:spid="_x0000_i1079" type="#_x0000_t75" style='width:472.5pt;
  height:388.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=518
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
 v:shapes="Picture_x0020_31"><![endif]></span></p>
 
@@ -2017 +2634 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_32" o:spid="_x0000_i1106" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_32" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
 v:shapes="Picture_x0020_32"><![endif]></span></p>
 
@@ -2065 +2682 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_33" o:spid="_x0000_i1105" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_33" o:spid="_x0000_i1077" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
 v:shapes="Picture_x0020_33"><![endif]></span></p>
 
@@ -2078 +2695 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_34" o:spid="_x0000_i1104" type="#_x0000_t75" style='width:472.5pt;
+ id="Picture_x0020_34" o:spid="_x0000_i1076" type="#_x0000_t75" style='width:472.5pt;
  height:388.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=518
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
 v:shapes="Picture_x0020_34"><![endif]></span></p>
 
@@ -2094 +2711 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_35" o:spid="_x0000_i1103" type="#_x0000_t75" style='width:297.75pt;
+ id="Picture_x0020_35" o:spid="_x0000_i1075" type="#_x0000_t75" style='width:297.75pt;
  height:99.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=397 height=133
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
 v:shapes="Picture_x0020_35"><![endif]></span></p>
 
@@ -2113 +2730 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_36" o:spid="_x0000_i1102" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_36" o:spid="_x0000_i1074" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
 v:shapes="Picture_x0020_36"><![endif]></span></p>
 
@@ -2136 +2753 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_37" o:spid="_x0000_i1101" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_37" o:spid="_x0000_i1073" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
 v:shapes="Picture_x0020_37"><![endif]></span></p>
 
@@ -2213 +2830 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_38" o:spid="_x0000_i1100" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_38" o:spid="_x0000_i1072" type="#_x0000_t75" style='width:525pt;
  height:166.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=222
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
 v:shapes="Picture_x0020_38"><![endif]></span></p>
 
@@ -2224 +2841 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_39" o:spid="_x0000_i1099" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_39" o:spid="_x0000_i1071" type="#_x0000_t75" style='width:525pt;
  height:163.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=218
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
 v:shapes="Picture_x0020_39"><![endif]></span></p>
 
 <p class=MsoNormal>Next go to the <b style='mso-bidi-font-weight:normal'><span
 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
-mso-hansi-theme-font:minor-latin'>Data</span></b> tab for each phase; there
-will be a message indicating the lack of data for each. Do <b style='mso-bidi-font-weight:
+mso-hansi-theme-font:minor-latin'>Data</span></b> tab for each phase; there will
+be a message indicating the lack of data for each. Do <b style='mso-bidi-font-weight:
 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
 minor-latin;mso-hansi-theme-font:minor-latin'>Edit/Add powder histograms</span></b>,
@@ -2246 +2863 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_40" o:spid="_x0000_i1098" type="#_x0000_t75" style='width:342.75pt;
+ id="Picture_x0020_40" o:spid="_x0000_i1070" type="#_x0000_t75" style='width:342.75pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=457 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
 v:shapes="Picture_x0020_40"><![endif]></span></p>
 
@@ -2257 +2874 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_41" o:spid="_x0000_i1097" type="#_x0000_t75" style='width:370.5pt;
+ id="Picture_x0020_41" o:spid="_x0000_i1069" type="#_x0000_t75" style='width:370.5pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=494 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
 v:shapes="Picture_x0020_41"><![endif]></span></p>
 
@@ -2284 +2901 @@
 <h3>Introduction</h3>
 
-<p class=MsoNormal>In this method we will do a full Rietveld refinement of the texture,
-profile parameters, peak position variables and crystal structure parameters.
-This is suitable in this case because of the relatively small number of
-histograms (10 in this case) needed for the texture determination; do recall
-that each phase in each histogram has a set of parameters (e.g. phase fraction,
-size, <span class=SpellE>mustrain</span> &amp; hydrostatic strain) in addition
-to the ones for each histogram (e.g. background &amp; scale factor).
+<p class=MsoNormal>In this method we will do a full Rietveld refinement of the
+texture, profile parameters, peak position variables and crystal structure
+parameters. This is suitable in this case because of the relatively small
+number of histograms (10 in this case) needed for the texture determination; do
+recall that each phase in each histogram has a set of parameters (e.g. phase
+fraction, size, <span class=SpellE>mustrain</span> &amp; hydrostatic strain) in
+addition to the ones for each histogram (e.g. background &amp; scale factor).
 Consequently the total number of parameters can build up very quickly in this
 method of analysis. The other two methods seek to reduce this problem by
@@ -2327 +2944 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_42" o:spid="_x0000_i1096" type="#_x0000_t75" style='width:342.75pt;
+ id="Picture_x0020_42" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:342.75pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=457 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
 v:shapes="Picture_x0020_42"><![endif]></span></p>
 
@@ -2361 +2978 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_43" o:spid="_x0000_i1095" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_43" o:spid="_x0000_i1067" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
 v:shapes="Picture_x0020_43"><![endif]></span></p>
 
@@ -2383 +3000 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_44" o:spid="_x0000_i1094" type="#_x0000_t75" style='width:456pt;
+ id="Picture_x0020_44" o:spid="_x0000_i1066" type="#_x0000_t75" style='width:456pt;
  height:217.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=608 height=290
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
 v:shapes="Picture_x0020_44"><![endif]></span></p>
 
@@ -2407 +3024 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_45" o:spid="_x0000_i1093" type="#_x0000_t75" style='width:456pt;
+ id="Picture_x0020_45" o:spid="_x0000_i1065" type="#_x0000_t75" style='width:456pt;
  height:250.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=608 height=334
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
 v:shapes="Picture_x0020_45"><![endif]></span></p>
 
@@ -2425 +3042 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_46" o:spid="_x0000_i1092" type="#_x0000_t75" style='width:342.75pt;
+ id="Picture_x0020_46" o:spid="_x0000_i1064" type="#_x0000_t75" style='width:342.75pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=457 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
 v:shapes="Picture_x0020_46"><![endif]></span></p>
 
@@ -2452 +3069 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_47" o:spid="_x0000_i1091" type="#_x0000_t75" style='width:478.5pt;
+ id="Picture_x0020_47" o:spid="_x0000_i1063" type="#_x0000_t75" style='width:478.5pt;
  height:302.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=638 height=403
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
 v:shapes="Picture_x0020_47"><![endif]></span></p>
 
@@ -2473 +3090 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_48" o:spid="_x0000_i1090" type="#_x0000_t75" style='width:370.5pt;
+ id="Picture_x0020_48" o:spid="_x0000_i1062" type="#_x0000_t75" style='width:370.5pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=494 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
 v:shapes="Picture_x0020_48"><![endif]></span></p>
 
@@ -2488 +3105 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_49" o:spid="_x0000_i1089" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_49" o:spid="_x0000_i1061" type="#_x0000_t75" style='width:525pt;
  height:413.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
 v:shapes="Picture_x0020_49"><![endif]></span></p>
 
@@ -2521 +3138 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_50" o:spid="_x0000_i1088" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_50" o:spid="_x0000_i1060" type="#_x0000_t75" style='width:525pt;
  height:413.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
 v:shapes="Picture_x0020_50"><![endif]></span></p>
 
@@ -2535 +3152 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_18" o:spid="_x0000_i1087" type="#_x0000_t75" style='width:456pt;
+ id="Picture_x0020_18" o:spid="_x0000_i1059" type="#_x0000_t75" style='width:456pt;
  height:250.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=608 height=334
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
 v:shapes="Picture_x0020_18"><![endif]></span></p>
 
@@ -2549 +3166 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_52" o:spid="_x0000_i1086" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_52" o:spid="_x0000_i1058" type="#_x0000_t75" style='width:525pt;
  height:413.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
 v:shapes="Picture_x0020_52"><![endif]></span></p>
 
@@ -2566 +3183 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_53" o:spid="_x0000_i1085" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_53" o:spid="_x0000_i1057" type="#_x0000_t75" style='width:525pt;
  height:413.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
 v:shapes="Picture_x0020_53"><![endif]></span></p>
 
@@ -2590 +3207 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_54" o:spid="_x0000_i1084" type="#_x0000_t75" style='width:502.5pt;
+ id="Picture_x0020_54" o:spid="_x0000_i1056" type="#_x0000_t75" style='width:502.5pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
+  o:title=""/>
+</v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
+v:shapes="Picture_x0020_54"><![endif]></span></p>
+
+<p class=MsoNormal><span class=GramE>and</span> inverse pole figure</p>
+
+<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
+ id="Picture_x0020_55" o:spid="_x0000_i1055" type="#_x0000_t75" style='width:525pt;
+ height:413.25pt;visibility:visible;mso-wrap-style:square'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
+  o:title=""/>
+</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
+v:shapes="Picture_x0020_55"><![endif]></span></p>
+
+<p class=MsoNormal>The B2 coefficients</p>
+
+<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
+ id="Picture_x0020_56" o:spid="_x0000_i1054" type="#_x0000_t75" style='width:480pt;
+ height:267.75pt;visibility:visible;mso-wrap-style:square'>
  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
   o:title=""/>
-</v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
+</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
-v:shapes="Picture_x0020_54"><![endif]></span></p>
+v:shapes="Picture_x0020_56"><![endif]></span></p>
 
 <p class=MsoNormal><span class=GramE>and</span> inverse pole figure</p>
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_55" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_57" o:spid="_x0000_i1053" type="#_x0000_t75" style='width:525pt;
  height:413.25pt;visibility:visible;mso-wrap-style:square'>
  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
@@ -2607 +3246 @@
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
-v:shapes="Picture_x0020_55"><![endif]></span></p>
-
-<p class=MsoNormal>The B2 coefficients</p>
-
-<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_56" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:480pt;
- height:267.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
-v:shapes="Picture_x0020_56"><![endif]></span></p>
-
-<p class=MsoNormal><span class=GramE>and</span> inverse pole figure</p>
-
-<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_57" o:spid="_x0000_i1081" type="#_x0000_t75" style='width:525pt;
- height:413.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
 v:shapes="Picture_x0020_57"><![endif]></span></p>
 
@@ -2735 +3352 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_1" o:spid="_x0000_i1080" type="#_x0000_t75" style='width:330.75pt;
+ id="Picture_x0020_1" o:spid="_x0000_i1052" type="#_x0000_t75" style='width:330.75pt;
  height:153.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=441 height=205
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
 v:shapes="Picture_x0020_1"><![endif]></span></p>
 
@@ -2759 +3376 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_2" o:spid="_x0000_i1079" type="#_x0000_t75" style='width:330.75pt;
+ id="Picture_x0020_2" o:spid="_x0000_i1051" type="#_x0000_t75" style='width:330.75pt;
  height:163.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=441 height=218
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
 v:shapes="Picture_x0020_2"><![endif]></span></p>
 
 <p class=MsoNormal>You have the choice of starting at the last one and for
-copying results from one to the next. We won’t do either here. Each refinement will
-use the other controls (e.g. <b style='mso-bidi-font-weight:normal'><span
+copying results from one to the next. We won’t do either here. Each refinement
+will use the other controls (e.g. <b style='mso-bidi-font-weight:normal'><span
 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
 mso-hansi-theme-font:minor-latin'>Max cycles</span></b>) as controls. We are
@@ -2788 +3405 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_3" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_3" o:spid="_x0000_i1050" type="#_x0000_t75" style='width:525pt;
  height:262.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
 v:shapes="Picture_x0020_3"><![endif]></span></p>
 
@@ -2808 +3425 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_4" o:spid="_x0000_i1077" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_4" o:spid="_x0000_i1049" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
 v:shapes="Picture_x0020_4"><![endif]></span></p>
 
@@ -2820 +3437 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_5" o:spid="_x0000_i1076" type="#_x0000_t75" style='width:381pt;
+ id="Picture_x0020_5" o:spid="_x0000_i1048" type="#_x0000_t75" style='width:381pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=508 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
 v:shapes="Picture_x0020_5"><![endif]></span></p>
 
@@ -2834 +3451 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_6" o:spid="_x0000_i1075" type="#_x0000_t75" style='width:240pt;
+ id="Picture_x0020_6" o:spid="_x0000_i1047" type="#_x0000_t75" style='width:240pt;
  height:232.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=320 height=310
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
 v:shapes="Picture_x0020_6"><![endif]></span></p>
 
@@ -2853 +3470 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_7" o:spid="_x0000_i1074" type="#_x0000_t75" style='width:381pt;
+ id="Picture_x0020_7" o:spid="_x0000_i1046" type="#_x0000_t75" style='width:381pt;
  height:467.25pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=508 height=623
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
 v:shapes="Picture_x0020_7"><![endif]></span></p>
 
@@ -2867 +3484 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_8" o:spid="_x0000_i1073" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_8" o:spid="_x0000_i1045" type="#_x0000_t75" style='width:525pt;
  height:262.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
 v:shapes="Picture_x0020_8"><![endif]></span></p>
 
@@ -2879 +3496 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_9" o:spid="_x0000_i1072" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_9" o:spid="_x0000_i1044" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
 v:shapes="Picture_x0020_9"><![endif]></span></p>
 
@@ -2895 +3512 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_10" o:spid="_x0000_i1071" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_10" o:spid="_x0000_i1043" type="#_x0000_t75" style='width:525pt;
  height:262.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
 v:shapes="Picture_x0020_10"><![endif]></span></p>
 
@@ -2907 +3524 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_11" o:spid="_x0000_i1070" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_11" o:spid="_x0000_i1042" type="#_x0000_t75" style='width:525pt;
  height:262.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
 v:shapes="Picture_x0020_11"><![endif]></span></p>
 
@@ -2919 +3536 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_12" o:spid="_x0000_i1069" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_12" o:spid="_x0000_i1041" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
 v:shapes="Picture_x0020_12"><![endif]></span></p>
 
@@ -2934 +3551 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_13" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_13" o:spid="_x0000_i1040" type="#_x0000_t75" style='width:525pt;
  height:262.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
 v:shapes="Picture_x0020_13"><![endif]></span></p>
 
@@ -2949 +3566 @@
 <p class=MsoNormal>During the sequential refinements done in Step 1, we fitted
 the profiles allowing strain parameters (<span class=SpellE>Dij</span>) for
-peak position shifts and <span class=SpellE>microstrain</span> for peak shape. We
-modeled the intensity variation with a spherical harmonics preferred
+peak position shifts and <span class=SpellE>microstrain</span> for peak shape.
+We modeled the intensity variation with a spherical harmonics preferred
 orientation correction. If you select any PWDR entry from the GSAS-II data tree
 and pick the Reflection List subentry (at the bottom) you can see the magnitude
@@ -2958 +3575 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_14" o:spid="_x0000_i1067" type="#_x0000_t75" style='width:659.25pt;
+ id="Picture_x0020_14" o:spid="_x0000_i1039" type="#_x0000_t75" style='width:659.25pt;
  height:262.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=879 height=350
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
 v:shapes="Picture_x0020_14"><![endif]></span></p>
 
@@ -2969 +3586 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_15" o:spid="_x0000_i1066" type="#_x0000_t75" style='width:659.25pt;
+ id="Picture_x0020_15" o:spid="_x0000_i1038" type="#_x0000_t75" style='width:659.25pt;
  height:273pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=879 height=364
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
 v:shapes="Picture_x0020_15"><![endif]></span></p>
 
@@ -2984 +3601 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_16" o:spid="_x0000_i1065" type="#_x0000_t75" style='width:456pt;
+ id="Picture_x0020_16" o:spid="_x0000_i1037" type="#_x0000_t75" style='width:456pt;
  height:217.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=608 height=290
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
 v:shapes="Picture_x0020_16"><![endif]></span></p>
 
@@ -2998 +3615 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_17" o:spid="_x0000_i1064" type="#_x0000_t75" style='width:456pt;
+ id="Picture_x0020_17" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:456pt;
  height:250.5pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=608 height=334
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
 v:shapes="Picture_x0020_17"><![endif]></span></p>
 
@@ -3010 +3627 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_20" o:spid="_x0000_i1063" type="#_x0000_t75" style='width:480pt;
+ id="Picture_x0020_20" o:spid="_x0000_i1035" type="#_x0000_t75" style='width:480pt;
  height:267.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
 v:shapes="Picture_x0020_20"><![endif]></span></p>
 
@@ -3022 +3639 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_19" o:spid="_x0000_i1062" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_19" o:spid="_x0000_i1034" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
 v:shapes="Picture_x0020_19"><![endif]></span></p>
 
@@ -3038 +3655 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_21" o:spid="_x0000_i1061" type="#_x0000_t75" style='width:502.5pt;
+ id="Picture_x0020_21" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:502.5pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
 v:shapes="Picture_x0020_21"><![endif]></span></p>
 
@@ -3050 +3667 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_22" o:spid="_x0000_i1060" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_22" o:spid="_x0000_i1032" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
 v:shapes="Picture_x0020_22"><![endif]></span></p>
 
@@ -3196 +3813 @@
 
 <p class=MsoNormal style='margin-left:.25in'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_23" o:spid="_x0000_i1059" type="#_x0000_t75" style='width:480pt;
+ id="Picture_x0020_23" o:spid="_x0000_i1031" type="#_x0000_t75" style='width:480pt;
  height:267.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
 v:shapes="Picture_x0020_23"><![endif]></span></p>
 
@@ -3217 +3834 @@
 
 <p class=MsoNormal style='margin-left:.25in'><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_24" o:spid="_x0000_i1058" type="#_x0000_t75" style='width:480pt;
+ id="Picture_x0020_24" o:spid="_x0000_i1030" type="#_x0000_t75" style='width:480pt;
  height:267.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
 v:shapes="Picture_x0020_24"><![endif]></span></p>
 
@@ -3252 +3869 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_25" o:spid="_x0000_i1057" type="#_x0000_t75" style='width:363pt;
+ id="Picture_x0020_25" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:363pt;
  height:120.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=484 height=161
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
 v:shapes="Picture_x0020_25"><![endif]></span></p>
 
@@ -3278 +3895 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_26" o:spid="_x0000_i1056" type="#_x0000_t75" style='width:525pt;
+ id="Picture_x0020_26" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:525pt;
+ height:450pt;visibility:visible;mso-wrap-style:square'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
+  o:title=""/>
+</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
+v:shapes="Picture_x0020_26"><![endif]></span></p>
+
+<p class=MsoNormal><span class=GramE>which</span> is almost identical to that
+from Method A. The coefficients are seen in</p>
+
+<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
+ id="Picture_x0020_27" o:spid="_x0000_i1027" type="#_x0000_t75" style='width:480pt;
+ height:267.75pt;visibility:visible;mso-wrap-style:square'>
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
+  o:title=""/>
+</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
+v:shapes="Picture_x0020_27"><![endif]></span></p>
+
+<p class=MsoNormal>Now select the <b style='mso-bidi-font-weight:normal'><span
+style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
+mso-hansi-theme-font:minor-latin'>B19’</span></b> phase and its <b
+style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
+mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Texture</span></b>
+tab; the inverse pole figure is</p>
+
+<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
+ id="Picture_x0020_28" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:525pt;
  height:450pt;visibility:visible;mso-wrap-style:square'>
  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
@@ -3284 +3929 @@
 </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
-v:shapes="Picture_x0020_26"><![endif]></span></p>
-
-<p class=MsoNormal><span class=GramE>which</span> is almost identical to that
-from Method A. The coefficients are seen in</p>
-
-<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_27" o:spid="_x0000_i1055" type="#_x0000_t75" style='width:480pt;
- height:267.75pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
-v:shapes="Picture_x0020_27"><![endif]></span></p>
-
-<p class=MsoNormal>Now select the <b style='mso-bidi-font-weight:normal'><span
-style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
-mso-hansi-theme-font:minor-latin'>B19’</span></b> phase and its <b
-style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
-mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Texture</span></b>
-tab; the inverse pole figure is</p>
-
-<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_28" o:spid="_x0000_i1054" type="#_x0000_t75" style='width:525pt;
- height:450pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image105.png"
-  o:title=""/>
-</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image105.png"
 v:shapes="Picture_x0020_28"><![endif]></span></p>
 
@@ -3318 +3935 @@
 
 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
- id="Picture_x0020_58" o:spid="_x0000_i1053" type="#_x0000_t75" style='width:502.5pt;
+ id="Picture_x0020_58" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:502.5pt;
  height:375pt;visibility:visible;mso-wrap-style:square'>
- <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image106.png"
+ <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
   o:title=""/>
 </v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
-src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image106.png"
+src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
 v:shapes="Picture_x0020_58"><![endif]></span></p>
 

Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II_files/filelist.xml

@@ -3 +3 @@
  <o:File HRef="themedata.thmx"/>
  <o:File HRef="colorschememapping.xml"/>
- <o:File HRef="image001.wmz"/>
+ <o:File HRef="plchdr.htm"/>
+ <o:File HRef="image001.png"/>
  <o:File HRef="image002.png"/>
- <o:File HRef="oledata.mso"/>
- <o:File HRef="image003.wmz"/>
+ <o:File HRef="image003.png"/>
  <o:File HRef="image004.png"/>
- <o:File HRef="image005.wmz"/>
+ <o:File HRef="image005.png"/>
  <o:File HRef="image006.png"/>
- <o:File HRef="image007.wmz"/>
+ <o:File HRef="image007.png"/>
  <o:File HRef="image008.png"/>
- <o:File HRef="image009.wmz"/>
+ <o:File HRef="image009.png"/>
  <o:File HRef="image010.png"/>
- <o:File HRef="image011.wmz"/>
- <o:File HRef="image012.wmz"/>
+ <o:File HRef="image011.png"/>
+ <o:File HRef="image012.png"/>
  <o:File HRef="image013.png"/>
- <o:File HRef="image014.wmz"/>
+ <o:File HRef="image014.png"/>
  <o:File HRef="image015.png"/>
- <o:File HRef="image016.wmz"/>
+ <o:File HRef="image016.png"/>
  <o:File HRef="image017.png"/>
- <o:File HRef="image018.wmz"/>
+ <o:File HRef="image018.png"/>
  <o:File HRef="image019.png"/>
- <o:File HRef="image020.wmz"/>
+ <o:File HRef="image020.png"/>
  <o:File HRef="image021.png"/>
- <o:File HRef="image022.wmz"/>
+ <o:File HRef="image022.png"/>
  <o:File HRef="image023.png"/>
- <o:File HRef="image024.wmz"/>
+ <o:File HRef="image024.png"/>
  <o:File HRef="image025.png"/>
- <o:File HRef="image026.wmz"/>
+ <o:File HRef="image026.png"/>
  <o:File HRef="image027.png"/>
- <o:File HRef="image028.wmz"/>
+ <o:File HRef="image028.png"/>
  <o:File HRef="image029.png"/>
- <o:File HRef="image030.wmz"/>
+ <o:File HRef="image030.png"/>
  <o:File HRef="image031.png"/>
- <o:File HRef="image032.wmz"/>
+ <o:File HRef="image032.png"/>
  <o:File HRef="image033.png"/>
- <o:File HRef="image034.wmz"/>
+ <o:File HRef="image034.png"/>
  <o:File HRef="image035.png"/>
- <o:File HRef="image036.wmz"/>
+ <o:File HRef="image036.png"/>
  <o:File HRef="image037.png"/>
- <o:File HRef="image038.wmz"/>
+ <o:File HRef="image038.png"/>
  <o:File HRef="image039.png"/>
- <o:File HRef="image040.wmz"/>
+ <o:File HRef="image040.png"/>
  <o:File HRef="image041.png"/>
- <o:File HRef="image042.wmz"/>
+ <o:File HRef="image042.png"/>
  <o:File HRef="image043.png"/>
- <o:File HRef="image044.wmz"/>
- <o:File HRef="image045.wmz"/>
+ <o:File HRef="image044.png"/>
+ <o:File HRef="image045.png"/>
  <o:File HRef="image046.png"/>
- <o:File HRef="image047.wmz"/>
+ <o:File HRef="image047.png"/>
  <o:File HRef="image048.png"/>
- <o:File HRef="image049.wmz"/>
+ <o:File HRef="image049.png"/>
  <o:File HRef="image050.png"/>
- <o:File HRef="image051.wmz"/>
+ <o:File HRef="image051.png"/>
  <o:File HRef="image052.png"/>
  <o:File HRef="image053.png"/>
@@ -108 +108 @@
  <o:File HRef="image103.png"/>
  <o:File HRef="image104.png"/>
- <o:File HRef="image105.png"/>
- <o:File HRef="image106.png"/>
  <o:File HRef="filelist.xml"/>
 </xml>