Changeset 2385 for Tutorials/2DTexture

Timestamp:

Jul 28, 2016 2:16:36 PM (7 years ago)

Author:

vondreele

Message:

 

File:

• Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II.htm (modified) (55 diffs)

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

@@ -25 +25 @@
   <o:Author>Von Dreele</o:Author>
   <o:LastAuthor>Von Dreele</o:LastAuthor>
-  <o:Revision>9</o:Revision>
-  <o:TotalTime>2142</o:TotalTime>
+  <o:Revision>10</o:Revision>
+  <o:TotalTime>2143</o:TotalTime>
   <o:Created>2015-05-14T17:06:00Z</o:Created>
-  <o:LastSaved>2015-05-14T17:39:00Z</o:LastSaved>
-  <o:Pages>1</o:Pages>
-  <o:Words>4340</o:Words>
-  <o:Characters>24741</o:Characters>
+  <o:LastSaved>2016-07-28T18:35:00Z</o:LastSaved>
+  <o:Pages>54</o:Pages>
+  <o:Words>4339</o:Words>
+  <o:Characters>24736</o:Characters>
   <o:Company>Argonne National Laboratory</o:Company>
   <o:Lines>206</o:Lines>
   <o:Paragraphs>58</o:Paragraphs>
-  <o:CharactersWithSpaces>29023</o:CharactersWithSpaces>
-  <o:Version>15.00</o:Version>
+  <o:CharactersWithSpaces>29017</o:CharactersWithSpaces>
+  <o:Version>16.00</o:Version>
  </o:DocumentProperties>
  <o:OfficeDocumentSettings>
@@ -48 +48 @@
 <!--[if gte mso 9]><xml>
  <w:WordDocument>
-  <w:Zoom>108</w:Zoom>
+  <w:View>Print</w:View>
   <w:SpellingState>Clean</w:SpellingState>
   <w:GrammarState>Clean</w:GrammarState>
@@ -1181 +1181 @@
         mso-hansi-font-family:"Courier New";
         mso-bidi-font-family:"Courier New";}
+p.msonormal0, li.msonormal0, div.msonormal0
+        {mso-style-name:msonormal;
+        mso-style-noshow:yes;
+        mso-style-priority:99;
+        mso-style-unhide:no;
+        mso-margin-top-alt:auto;
+        margin-right:0in;
+        mso-margin-bottom-alt:auto;
+        margin-left:0in;
+        mso-pagination:widow-orphan;
+        font-size:12.0pt;
+        font-family:"Times New Roman",serif;
+        mso-fareast-font-family:"Times New Roman";
+        mso-fareast-theme-font:minor-fareast;}
 span.TitleChar
         {mso-style-name:"Title Char";
@@ -1513 +1527 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><span class=GramE>is</span> used to give the
-intensity corrections due to texture. The two harmonic terms, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+margin-left:0in;line-height:115%'>is used to give the intensity corrections due
+to texture. The two 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:
@@ -1535 +1549 @@
 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.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='mso-spacerun:yes'> </span>and <!--[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:
@@ -1579 +1593 @@
 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span
 style='mso-spacerun:yes'> </span>terms are nonzero so the rest are excluded
-from the <span class=GramE>summations</span> and the set of <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+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:
@@ -1710 +1724 @@
 "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'>
+ id="_x0000_i1025" type="#_x0000_t75" style='width:320.95pt;height:54pt'>
  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png"
   o:title="" chromakey="white"/>
@@ -1762 +1776 @@
 margin-left:0in;line-height:115%'><b style='mso-bidi-font-weight:normal'>M = -</b><b
 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>Q</span>A</b><b
-style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>W<span
-class=GramE>C<span style='font-family:"Times New Roman",serif'>(</span></span>F</span>+</b><b
+style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>WC</span>(</b><b
+style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>F</span>+</b><b
 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>F</span><sub>s</sub>)</b><b
 style='mso-bidi-font-weight:normal'><span style='font-family:Symbol'>C</span><span
@@ -1770 +1784 @@
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
 margin-left:0in;line-height:115%'>By transformation of unit Cartesian vectors
-(100, 010 and 001) with this rotation matrix, the sample orientation
-coordinates (<span style='font-family:Symbol'>y</span>, <span style='font-family:
-Symbol'>g</span>) are given by</p>
+(100, 010 and 001) with this rotation matrix, the sample orientation coordinates
+(<span style='font-family:Symbol'>y</span>, <span style='font-family:Symbol'>g</span>)
+are given by</p>
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><span class=GramE><i>cos</i>(</span><span
-style='font-family: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
+margin-left:0in;line-height:115%'><i>cos</i>(<span style='font-family: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:
@@ -1855 +1869 @@
 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='mso-spacerun:yes'> </span>and <!--[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:
@@ -1930 +1944 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><span class=GramE>where</span> the normalized
-associated Legendre functions, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+margin-left:0in;line-height:115%'>where the normalized associated 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:
@@ -2006 +2020 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><span class=GramE>for</span> m even and</p>
+margin-left:0in;line-height:115%'>for m even and</p>
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
@@ -2060 +2074 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><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><!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+margin-left:0in;line-height:115%'>for 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, <!--[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:
@@ -2202 +2215 @@
 "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'>
+ id="_x0000_i1025" type="#_x0000_t75" style='width:423.7pt;height:55.5pt'>
  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png"
   o:title="" chromakey="white"/>
@@ -2210 +2223 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><span class=GramE>is</span> satisfied.<span
-style='mso-spacerun:yes'>  </span>Terms of the form <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span
+margin-left:0in;line-height:115%'>is satisfied.<span 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:
@@ -2302 +2315 @@
 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='mso-spacerun:yes'> </span>and <!--[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:
@@ -2403 +2416 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'><span class=GramE>using</span> the
-coefficients, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span
+margin-left:0in;line-height:115%'>using 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:
@@ -2466 +2478 @@
 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 class=GramE><span style='font-family:Symbol'>F</span></span><sub>s</sub>.
-</p>
+<span style='font-family:Symbol'>F</span><sub>s</sub>. </p>
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
@@ -2525 +2536 @@
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
-margin-left:0in;line-height:115%'>If the texture is random then J = 1,
-otherwise J &gt; 1; for a single crystal J = <span style='font-family:Symbol'>¥.</span>
-</p>
+margin-left:0in;line-height:115%'>If the texture is random then J = 1, otherwise
+J &gt; 1; for a single crystal J = <span style='font-family:Symbol'>¥.</span> </p>
 
 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
@@ -2582 +2592 @@
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Use 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/Read
-image data</span></b> menu item to read the data file into the current GSAS-II
+mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Data/Read image
+data</span></b> menu item to read the data file into the current GSAS-II
 project. A file selection dialog will be shown; its appearance will depend on
 your OS. Change the search directory to <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'>/exercises/2DTexture </span></b>and then select the file <b
+minor-latin'>2DTexture/data </span></b>and then select the file <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'>NDC5_01588_1.ge2</span></b>.
@@ -2603 +2613 @@
 v:shapes="Picture_x0020_29"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> 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'>Image Controls</span></b> data page will show</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and 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'>Image
+Controls</span></b> data page will show</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -2656 +2666 @@
 is suitable) and shows that the diffraction rings show the effect of texture
 and that the image has a fairly high background. Placing the cursor in the
-corners or inside the inner ring shows a background &gt;1700. This can be suppressed
-by adjusting 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'>Flat <span class=SpellE>Bkg</span></span></b> (I chose <b
-style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
+corners or inside the inner ring shows a background &gt;1700. This can be
+suppressed by adjusting 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'>Flat <span class=SpellE>Bkg</span></span></b>
+(I chose <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'>1700</span></b>
 for this). The image will now show the rings much more clearly.</p>
@@ -2675 +2685 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>For texture
-analysis we will need to integrate the image into a number of slices sampling
-the changing ring intensity with azimuthal angle. Also note that the image
-seems to have <b style='mso-bidi-font-weight:normal'><span style='font-family:
+analysis we will need to integrate the image into a number of slices sampling the
+changing ring intensity with azimuthal angle. Also note that the image seems to
+have <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'>mm</span></b>
+symmetry so that the unique part of this intensity variation covers 0-90° of
+azimuth. In addition the ring intensity variation is such that using 10° slices
+will capture it reasonably well. However, we want to include both 0° and 90° as
+slice centers. Thus there will be 10 slices beginning at -5° and ending at 95°.
+Check 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'>Show
+integration limits?</span></b> box and uncheck 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'>Do full integration? </span></b>box,
+enter <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'>10</span></b>
+in 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'>No. azimuth
+bins</span></b>, enter <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'>-5</span></b> in 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'>Start azimuth</span></b> box (it
+will change to 355) and enter <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'>455</span></b> in 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'>End azimuth</span></b> box. In
+addition, recall that the sample was mounted vertically and thus is aligned
+with the defined laboratory I axis. Thus, the sample coordinate system needs to
+be rotated by 90° to match the sample axis with the K axis; this can be done by
+making 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'>mm</span></b> symmetry so that the unique part of this intensity
-variation covers 0-90° of azimuth. In addition the ring intensity variation is
-such that using 10° slices will capture it reasonably well. However, we want to
-include both 0° and 90° as slice centers. Thus there will be 10 slices
-beginning at -5° and ending at 95°. Check the <b style='mso-bidi-font-weight:
+minor-latin'>Sample goniometer axis Chi</span></b> = <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'>Show integration limits?</span></b>
-<span class=GramE>box</span> and uncheck 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'>Do full integration? </span></b><span
-class=GramE>box</span>, enter <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'>10</span></b> in 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'>No. azimuth bins</span></b>,
-enter <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'>-5</span></b>
-in 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'>Start
-azimuth</span></b> box (it will change to 355) and enter <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'>455</span></b> in 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'>End azimuth</span></b>
-box. In addition, recall that the sample was mounted vertically and thus is
-aligned with the defined laboratory I axis. Thus, the sample coordinate system
-needs to be rotated by 90° to match the sample axis with the K axis; this can
-be done by making 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'>Sample goniometer axis Chi</span></b> = <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'>90</span></b>.
-The plot will change with each entry and at the end should look like</p>
+minor-latin;mso-hansi-theme-font:minor-latin'>90</span></b>. The plot will
+change with each entry and at the end should look like</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -2775 +2784 @@
 v:shapes="Picture_x0020_36"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>for</span> one ring. This level is too low. Return 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'>Image
-Controls</span></b> item in the data tree.</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>for one ring.
+This level is too low. Return 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'>Image Controls</span></b> item in the data
+tree.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>We are now
@@ -2805 +2814 @@
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This <span
 class=SpellE>NiTi</span> alloy consists of two phases, cubic B2 and monoclinic
-B19’. Their parameters are<span class=GramE>:</span><br>
+B19’. Their parameters are:<br>
 B2: <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'>P m 3 m</span></b>,
@@ -2831 +2840 @@
 <span class=SpellE>Ti</span> <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'>0.5787<span class=GramE>,0.2841,Œ</span></span></b>,
-Ni <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
+mso-hansi-theme-font:minor-latin'>0.5787,0.2841,Œ</span></b>, Ni <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'>0.9700,0.8209,Œ</span></b>,
 <span class=SpellE>U<sub>iso</sub></span>=<b style='mso-bidi-font-weight:normal'><span
@@ -2876 +2885 @@
 v:shapes="Picture_x0020_38"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> the B19’ Atoms table should be</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and the B19’
+Atoms table should be</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -2912 +2921 @@
 v:shapes="Picture_x0020_40"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> that for B19’ will be</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and that for
+B19’ will be</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3010 +3019 @@
 mso-hansi-theme-font:minor-latin'>Edit/Copy data</span></b>, select <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'>Set <span
-class=GramE>All</span></span></b> &amp; press <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'>OK</span></b> to copy these to
-the other histograms. Next 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 repeat this process.
-We are now ready for the first refinement; 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'>Calculate/Refine</span></b> from
-the main GSAS-II data tree window. A progress bar popup will appear and when
-done a <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'>Refinement
-results</span></b> popup will show with Rw~32%. Press <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'>OK</span></b> to load this
-result; GSAS-II will return you to the last window you were using and display
-the 1<sup>st</sup> powder pattern showing you the fit</p>
+mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Set All</span></b>
+&amp; press <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'>OK</span></b> to copy these to the other histograms. Next 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 repeat this process. We are now ready for the first refinement; 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'>Calculate/Refine</span></b>
+from the main GSAS-II data tree window. A progress bar popup will appear and
+when done a <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'>Refinement results</span></b> popup will show with Rw~32%. Press <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'>OK</span></b>
+to load this result; GSAS-II will return you to the last window you were using
+and display the 1<sup>st</sup> powder pattern showing you the fit</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3247 +3255 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Next go to the
-Texture tab for the B19’ phase. Again a <span class=SpellE>bullseye</span> pole
-figure is drawn; change that to an Inverse pole figure.</p>
+Texture tab for the B19’ phase. Again a bullseye pole figure is drawn; change
+that to an Inverse pole figure.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3287 +3295 @@
 v:shapes="Picture_x0020_54"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> inverse pole figure</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and inverse
+pole figure</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3313 +3321 @@
 v:shapes="Picture_x0020_56"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> inverse pole figure</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and inverse
+pole figure</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3328 +3336 @@
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This completes
 the tutorial on Method A for doing texture analysis. It is useful for a case
-like this one where there are very few data sets required for the texture
-analysis. However, for the case of lower sample symmetry one must several dozen
-or even a few hundred histograms and then the suite of parameters can easily be
-&gt; 1000 of which only a few dozen describe the texture. This leads to the
-next Methods for texture analysis in GSAS-II.</p>
+like this one where there are very few data sets required for the texture analysis.
+However, for the case of lower sample symmetry one must several dozen or even a
+few hundred histograms and then the suite of parameters can easily be &gt; 1000
+of which only a few dozen describe the texture. This leads to the next Methods
+for texture analysis in GSAS-II.</p>
 
 <h2 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left:
@@ -3342 +3350 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This begins
-the texture analysis in much the same way as Method A except that all the
-initial refinements are done “sequentially”, that is refinements are done for
-the parameters associated with each powder pattern to convergence in a serial
+the texture analysis in much the same way as Method A except that all the initial
+refinements are done “sequentially”, that is refinements are done for the
+parameters associated with each powder pattern to convergence in a serial
 fashion. In this case where there are 10 PWDR data sets, there will be 10
 refinements done in sequence. Parameters that span all the data (e.g. lattice
@@ -3396 +3404 @@
 tab and check 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'>Phase fraction</span></b> box and change the <span
-class=GramE><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'>Preferred</span></b></span><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'> orientation model</span></b> to <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'>Spherical
-harmonics</span></b>. Then 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/Copy data</span></b> to copy both the
-flag and the model to the other PWDR entries.</p>
+mso-hansi-theme-font:minor-latin'>Phase fraction</span></b> box and change 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'>Preferred
+orientation model</span></b> to <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'>Spherical harmonics</span></b>. Then 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/Copy
+data</span></b> to copy both the flag and the model to the other PWDR entries.</p>
 
 <p class=MsoListParagraphCxSpLast style='margin-bottom:12.0pt;mso-add-space:
@@ -3419 +3424 @@
 tab and check 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'>Phase fraction box</span></b> and change the <span
-class=GramE><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'>Preferred</span></b></span><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'> orientation model</span></b> to <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'>Spherical
-harmonics</span></b>. Then 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/Copy data</span></b> to copy both the
-flag and the model to the other PWDR entries.</p>
+mso-hansi-theme-font:minor-latin'>Phase fraction box</span></b> and change 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'>Preferred
+orientation model</span></b> to <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'>Spherical harmonics</span></b>. Then 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/Copy
+data</span></b> to copy both the flag and the model to the other PWDR entries.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Now select <b
@@ -3510 +3512 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>If you examine
-one of the PWDR entries, you’ll see that just in this point in Method <span
-class=GramE>A</span> much of the misfit is texture and perhaps peak position.</p>
+one of the PWDR entries, you’ll see that just in this point in Method A much of
+the misfit is texture and perhaps peak position.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3553 +3555 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This allows
-you to select which parameters to copy data and flags. Select Pref. <span
-class=SpellE>Ori</span>. And press OK; the file selection is next. Do Set <span
-class=GramE>All</span> and OK to do this copy. That copies the full spherical
-harmonics model to the other data sets. Select one to check if you’d like.</p>
+you to select which parameters to copy data and flags. Select Pref. Ori. And
+press OK; the file selection is next. Do Set All and OK to do this copy. That
+copies the full spherical harmonics model to the other data sets. Select one to
+check if you’d like.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Next do the
@@ -3576 +3578 @@
 ready for the next refinement; do Calculate/Sequential refine. Be careful not
 (by habit say) pick Refine; a warning popup will appear. After it completes the
-Sequential refinement results shows that the fit is better but convergence
-wasn’t quite complete.</p>
+Sequential refinement results shows that the fit is better but convergence wasn’t
+quite complete.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3651 +3653 @@
 perhaps the B19’ phase needs high order spherical harmonics. Select the Data
 tab for the B19’ phase and change the Harmonic order to 6. Then do Edit/Copy
-selected data for <span class=SpellE>Pref.Ori</span>. <span class=GramE>to</span>
-the other data sets. This (after few repeats) gives a further improvement in
-the fit</p>
+selected data for <span class=SpellE>Pref.Ori</span>. to the other data sets.
+This (after few repeats) gives a further improvement in the fit</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3672 +3673 @@
 0in;line-height:115%'>Step 2. Texture analysis</h3>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>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 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 of this correction for each
-reflection in each phase.</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>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 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 of this correction for each reflection in each phase.</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>For the B2
@@ -3694 +3694 @@
 v:shapes="Picture_x0020_14"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> for the B19’ phase we see</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and for the
+B19’ phase we see</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3741 +3741 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Do
-Texture/Refine texture from the menu; the window will be repainted and a <span
-class=SpellE>bullseye</span> pole figure will appear. </p>
+Texture/Refine texture from the menu; the window will be repainted and a
+bullseye pole figure will appear. </p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3768 +3768 @@
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This is
-essentially the same as we obtained earlier in Method <span class=GramE>A</span>
-(maybe not quite as strong here).</p>
+essentially the same as we obtained earlier in Method A (maybe not quite as
+strong here).</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Now select the
@@ -3786 +3786 @@
 v:shapes="Picture_x0020_21"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>And a <span
-class=SpellE>bullseye</span> pole figure; change that to Inverse pole figure to
-see the texture</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>And a bullseye
+pole figure; change that to Inverse pole figure to see the texture</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -3800 +3799 @@
 v:shapes="Picture_x0020_22"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Again this is
-very similar to what we found in Method A but again not quite as strong (max
-MRD ~13 instead of ~18).</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Again this is very
+similar to what we found in Method A but again not quite as strong (max MRD ~13
+instead of ~18).</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Now do a
@@ -3843 +3842 @@
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Here we want
 to clear refinement flags for all parameters that need not be varied in a
-texture analysis refinement. The general rule is to not refine any parameter
-unless we expect it to affect the peak intensities. These are listed below:</p>
+texture analysis refinement. The general rule is to not refine any parameter unless
+we expect it to affect the peak intensities. These are listed below:</p>
 
 <p class=MsoListParagraphCxSpFirst style='margin-bottom:12.0pt;mso-add-space:
@@ -3878 +3877 @@
 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'>Data</span></b> tab. <span class=GramE>Clear</span> the <span
+minor-latin'>Data</span></b> <span class=GramE>tab.</span> Clear the <span
 class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family:
 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
@@ -3894 +3893 @@
 flags</span></b> selecting all data to clear all the flags and an <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/Copy selected
+data</span></b> for <span class=SpellE><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'>Pref.Ori</span></b></span> to copy the zeroed
+out harmonic coefficients.</p>
+
+<p class=MsoListParagraphCxSpLast style='margin-bottom:12.0pt;mso-add-space:
+auto;text-indent:-.25in;line-height:115%;mso-list:l1 level1 lfo4'><![if !supportLists]><span
+style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3)<span
+style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><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>:
+we do not want to refine either the <span class=SpellE>microstrain</span>, <span
+class=SpellE>Dij</span>, or preferred orientation coefficients. 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'>Data</span></b> tab. Clear the <span class=SpellE><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'>microstrain</span></b></span>,
+four <span class=SpellE><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'>Dij</span></b></span> and <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'>Preferred
+orientation</span></b> boxes. Also set 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'>Harmonic order</span></b> to zero (this will
+avoid a lot of nasty (but harmless) messages at the start of the refinement).
+Then 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/Copy
+flags</span></b> selecting all data to clear all the flags and an <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/Copy
 selected data</span></b> for <span class=SpellE><b style='mso-bidi-font-weight:
@@ -3900 +3933 @@
 copy the zeroed out harmonic coefficients.</p>
 
-<p class=MsoListParagraphCxSpLast style='margin-bottom:12.0pt;mso-add-space:
-auto;text-indent:-.25in;line-height:115%;mso-list:l1 level1 lfo4'><![if !supportLists]><span
-style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3)<span
-style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><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>:
-we do not want to refine either the <span class=SpellE>microstrain</span>, <span
-class=SpellE>Dij</span>, or preferred orientation coefficients. 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'>Data</span></b> tab. Clear the <span class=SpellE><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'>microstrain</span></b></span>,
-four <span class=SpellE><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'>Dij</span></b></span> and <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'>Preferred
-orientation</span></b> boxes. Also set 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'>Harmonic order</span></b> to zero (this will
-avoid a lot of nasty (but harmless) messages at the start of the refinement).
-Then 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/Copy
-flags</span></b> selecting all data to clear all the flags and an <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/Copy
-selected data</span></b> for <span class=SpellE><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'>Pref.Ori</span></b></span> to
-copy the zeroed out harmonic coefficients.</p>
-
 <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
 margin-left:.25in;line-height:115%'><o:p>&nbsp;</o:p></p>
@@ -3940 +3939 @@
 margin-left:.25in;line-height:115%'>Notice that we have allowed refinement of
 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'>Phase fractions</span></b>;
-these may change during the texture refinement. 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'>Texture</span></b>
-tab for the <b style='mso-bidi-font-weight:normal'><span style='font-family:
+mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Phase
+fractions</span></b>; these may change during the texture refinement. 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'>B2</span></b> phase (it may still have values from the Method B).</p>
+minor-latin'>Texture</span></b> tab for 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'>B2</span></b> phase (it may still
+have values from the Method B).</p>
 
 <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;
@@ -3990 +3990 @@
 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. <span class=GramE>Set</span> the <b style='mso-bidi-font-weight:normal'><span
+<span class=GramE>tab.</span> Set 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'>Harmonic order</span></b> to zero and then
@@ -4047 +4047 @@
 v:shapes="Picture_x0020_26"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>which</span> is almost identical to that from Method A. The
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>which is
+almost identical to that from Method <span class=GramE>A.</span> The
 coefficients are seen in</p>
 
@@ -4078 +4078 @@
 v:shapes="Picture_x0020_28"><![endif]></span></p>
 
-<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
-class=GramE>and</span> also almost identical to what was obtained in Method A;
-the coefficients are seen in</p>
+<p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and also
+almost identical to what was obtained in Method A; the coefficients are seen in</p>
 
 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span
@@ -4097 +4096 @@
 tutorial that in more complex textures where the data set may consist of slices
 obtained from a suite of 2D images collected as the sample is rotated, Method C
-will give a relatively fast determination of the texture without resorting to large
-matrix least-squares refinements.</p>
+will give a relatively fast determination of the texture without resorting to
+large matrix least-squares refinements.</p>
 
 </div>