Changeset 1848


Ignore:
Timestamp:
May 13, 2015 4:38:12 PM (7 years ago)
Author:
vondreele
Message:

New equations?

Location:
Tutorials/2DTexture
Files:
71 edited

Legend:

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

    r1846 r1848  
    2727  <o:Author>Von Dreele</o:Author>
    2828  <o:LastAuthor>Von Dreele</o:LastAuthor>
    29   <o:Revision>14</o:Revision>
    30   <o:TotalTime>2063</o:TotalTime>
     29  <o:Revision>15</o:Revision>
     30  <o:TotalTime>2065</o:TotalTime>
    3131  <o:Created>2015-05-11T19:45:00Z</o:Created>
    32   <o:LastSaved>2015-05-13T19:42:00Z</o:LastSaved>
     32  <o:LastSaved>2015-05-13T21:37:00Z</o:LastSaved>
    3333  <o:Pages>1</o:Pages>
    3434  <o:Words>4276</o:Words>
     
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    14121417modeling, as described by Bunge, &quot;Texture Analysis in Materials
    14131418Science&quot; (1982), and implemented by Von Dreele, J. Appl. <span
    1414 class=SpellE>Cryst</span>., <b style='mso-bidi-font-weight:normal'>30</b>, 517-525
    1415 (1997) in GSAS. The even part of the orientation distribution function (ODF)
    1416 via the general axis equation</p>
     1419class=SpellE>Cryst</span>., <b style='mso-bidi-font-weight:normal'>30</b>,
     1420517-525 (1997) in GSAS. The even part of the orientation distribution function
     1421(ODF) via the general axis equation</p>
    14171422
    14181423<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
     
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    14511456<p class=gsastext><span class=GramE>is</span> used to give the intensity
    14521457corrections due to texture. The two harmonic terms, <span style='position:relative;
    1453 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1026"
    1454  type="#_x0000_t75" style='width:33.75pt;height:20.25pt' o:ole="">
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     1459 type="#_x0000_t75" style='width:30.75pt;height:18pt' o:ole="">
    14551460 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image003.wmz"
    14561461  o:title=""/>
    1457 </v:shape><![endif]--><![if !vml]><img width=45 height=27
     1462</v:shape><![endif]--><![if !vml]><img width=41 height=24
    14581463src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.png"
    1459 v:shapes="_x0000_i1026"><![endif]></span><!--[if gte mso 9]><xml>
    1460  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1026"
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     1465 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1039"
     1466  DrawAspect="Content" ObjectID="_1493040240">
    14621467 </o:OLEObject>
    14631468</xml><![endif]--><span class=GramE>and </span><span style='position:relative;
    1464 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1027"
    1465  type="#_x0000_t75" style='width:32.25pt;height:20.25pt' o:ole="">
     1469top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1040"
     1470 type="#_x0000_t75" style='width:30pt;height:18pt' o:ole="">
    14661471 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.wmz"
    14671472  o:title=""/>
    1468 </v:shape><![endif]--><![if !vml]><img width=43 height=27
     1473</v:shape><![endif]--><![if !vml]><img width=40 height=24
    14691474src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png"
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    1471  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027"
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     1476 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1040"
     1477  DrawAspect="Content" ObjectID="_1493040241">
    14731478 </o:OLEObject>
    14741479</xml><![endif]-->, take on values according to the crystal and sample
     
    14811486coefficients. For example, in the case of cylindrical sample symmetry (fiber
    14821487texture) only <span style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
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    1484  o:ole="">
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    14851489 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image007.wmz"
    14861490  o:title=""/>
    1487 </v:shape><![endif]--><![if !vml]><img width=43 height=27
     1491</v:shape><![endif]--><![if !vml]><img width=40 height=24
    14881492src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image008.png"
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    1490  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1028"
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     1494 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1041"
     1495  DrawAspect="Content" ObjectID="_1493040242">
    14921496 </o:OLEObject>
    14931497</xml><![endif]--><span style='mso-spacerun:yes'> </span>terms are nonzero so
    1494 the rest are excluded from the summations and the <span class=GramE>set</span>
    1495 of <span style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
    1496  id="_x0000_i1029" type="#_x0000_t75" style='width:24pt;height:20.25pt' o:ole="">
     1498the rest are excluded from the summations and the set of <span
     1499style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
     1500 id="_x0000_i1043" type="#_x0000_t75" style='width:21.75pt;height:18pt' o:ole="">
    14971501 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image009.wmz"
    14981502  o:title=""/>
    1499 </v:shape><![endif]--><![if !vml]><img width=32 height=27
     1503</v:shape><![endif]--><![if !vml]><img width=29 height=24
    15001504src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image010.png"
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    1502  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1029"
    1503   DrawAspect="Content" ObjectID="_1493033355">
     1505v:shapes="_x0000_i1043"><![endif]></span><!--[if gte mso 9]><xml>
     1506 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1043"
     1507  DrawAspect="Content" ObjectID="_1493040243">
    15041508 </o:OLEObject>
    15051509</xml><![endif]-->coefficients is sufficient to describe the effect on the
    15061510diffraction patterns due to texture. The crystal harmonic factor, <span
    15071511style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
    1508  id="_x0000_i1030" type="#_x0000_t75" style='width:33.75pt;height:20.25pt'
    1509  o:ole="">
     1512 id="_x0000_i1042" type="#_x0000_t75" style='width:30.75pt;height:18pt' o:ole="">
    15101513 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image011.wmz"
    15111514  o:title=""/>
    1512 </v:shape><![endif]--><![if !vml]><img width=45 height=27
     1515</v:shape><![endif]--><![if !vml]><img width=41 height=24
    15131516src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.png"
    1514 v:shapes="_x0000_i1030"><![endif]></span><!--[if gte mso 9]><xml>
    1515  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1030"
    1516   DrawAspect="Content" ObjectID="_1493033357">
     1517v:shapes="_x0000_i1042"><![endif]></span><!--[if gte mso 9]><xml>
     1518 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1042"
     1519  DrawAspect="Content" ObjectID="_1493040244">
    15171520 </o:OLEObject>
    15181521</xml><![endif]-->, is defined for each reflection, h, <i>via</i> polar and
     
    15261529normal plane.<span style='mso-spacerun:yes'>  </span>In a similar way the
    15271530sample harmonic factor, <span style='position:relative;top:5.0pt;mso-text-raise:
    1528 -5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1031" type="#_x0000_t75"
     1531-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1025" type="#_x0000_t75"
    15291532 style='width:32.25pt;height:20.25pt' o:ole="">
    15301533 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image012.wmz"
    15311534  o:title=""/>
    15321535</v:shape><![endif]--><![if !vml]><img width=43 height=27
    1533 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png"
    1534 v:shapes="_x0000_i1031"><![endif]></span><!--[if gte mso 9]><xml>
    1535  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1031"
    1536   DrawAspect="Content" ObjectID="_1493033358">
     1536src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png"
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     1538 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1025"
     1539  DrawAspect="Content" ObjectID="_1493040245">
    15371540 </o:OLEObject>
    15381541</xml><![endif]-->, is defined according to polar and azimuthal coordinates (<span
     
    15481551
    15491552<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
    1550 -14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75"
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    1553   o:title=""/>
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    1555 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image014.png"
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     1553-14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1044" type="#_x0000_t75"
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     1555 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image014.wmz"
     1556  o:title=""/>
     1557</v:shape><![endif]--><![if !vml]><img width=363 height=47
     1558src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image015.png"
     1559v:shapes="_x0000_i1044"><![endif]></span><!--[if gte mso 9]><xml>
     1560 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1044"
     1561  DrawAspect="Content" ObjectID="_1493040246">
    15591562 </o:OLEObject>
    15601563</xml><![endif]--><br style='mso-special-character:line-break'>
     
    15731576an instrument coordinate system (I, J, K) such that K is normal to the
    15741577diffraction plane and J is coincident with the direction of the incident
    1575 radiation beam toward the source. We further define a standard set of
    1576 right-handed goniometer <span class=SpellE>eulerian</span> angles (<span
    1577 style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>,
    1578 <span style='font-family:Symbol'>F</span>) so that <span style='font-family:
    1579 Symbol'>W</span> and <span style='font-family:Symbol'>F</span> are rotations
    1580 about K and <span style='font-family:Symbol'>C</span> is a rotation about J
    1581 when <span style='font-family:Symbol'>W</span> <span style='font-family:Symbol'><span
     1578radiation beam toward the source. We further define a standard set of right-handed
     1579goniometer <span class=SpellE>eulerian</span> angles (<span style='font-family:
     1580Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, <span
     1581style='font-family:Symbol'>F</span>) so that <span style='font-family:Symbol'>W</span>
     1582and <span style='font-family:Symbol'>F</span> are rotations about K and <span
     1583style='font-family:Symbol'>C</span> is a rotation about J when <span
     1584style='font-family:Symbol'>W</span> <span style='font-family:Symbol'><span
    15821585style='mso-spacerun:yes'> </span></span>= 0.<span style='mso-spacerun:yes'> 
    15831586</span>Finally, as the sample may be mounted so that the sample coordinate
    1584 system (I<sub>s</sub>, <span class=SpellE>J<sub>s</sub></span>, K<sub>s</sub>)
    1585 does not coincide with the instrument coordinate system (I, J, K), we define
    1586 three <span class=SpellE>eulerian</span> sample rotation offset angles (<span
     1587system (I<sub>s</sub>, <span class=SpellE>J<sub>s</sub></span>, K<sub>s</sub>) does
     1588not coincide with the instrument coordinate system (I, J, K), we define three <span
     1589class=SpellE>eulerian</span> sample rotation offset angles (<span
    15871590style='font-family:Symbol'>W</span><sub>s</sub>, <span style='font-family:Symbol'>C</span><sub>s</sub>,
    15881591<span style='font-family:Symbol'>F</span><sub>s</sub>) that describe the
     
    16151618Symbol'>y</span>) = <b style='mso-bidi-font-weight:normal'><span
    16161619style='position:relative;top:25.0pt;mso-text-raise:-25.0pt'><!--[if gte vml 1]><v:shape
    1617  id="_x0000_i1033" type="#_x0000_t75" style='width:33.75pt;height:56.25pt'
     1620 id="_x0000_i1046" type="#_x0000_t75" style='width:33.75pt;height:56.25pt'
    16181621 o:ole="">
    1619  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image015.wmz"
     1622 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image016.wmz"
    16201623  o:title=""/>
    16211624</v:shape><![endif]--><![if !vml]><img width=45 height=75
    1622 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image016.png"
    1623 v:shapes="_x0000_i1033"><![endif]></span><!--[if gte mso 9]><xml>
    1624  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1033"
    1625   DrawAspect="Content" ObjectID="_1493033360">
     1625src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image017.png"
     1626v:shapes="_x0000_i1046"><![endif]></span><!--[if gte mso 9]><xml>
     1627 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1046"
     1628  DrawAspect="Content" ObjectID="_1493040247">
    16261629 </o:OLEObject>
    16271630</xml><![endif]--></b><span style='mso-spacerun:yes'>  </span>and<span
    16281631style='mso-spacerun:yes'>   </span><i>tan</i>(<span style='font-family:Symbol'>g</span>)
    16291632= <span style='position:relative;top:25.0pt;mso-text-raise:-25.0pt'><!--[if gte vml 1]><v:shape
    1630  id="_x0000_i1034" type="#_x0000_t75" style='width:81pt;height:56.25pt' o:ole="">
    1631  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image017.wmz"
    1632   o:title=""/>
    1633 </v:shape><![endif]--><![if !vml]><img width=108 height=75
    1634 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image018.png"
    1635 v:shapes="_x0000_i1034"><![endif]></span><!--[if gte mso 9]><xml>
    1636  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1034"
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     1634 o:ole="">
     1635 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image018.wmz"
     1636  o:title=""/>
     1637</v:shape><![endif]--><![if !vml]><img width=109 height=75
     1638src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image019.png"
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     1640 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1045"
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    16401644
    16411645<p class=gsastext>The harmonic terms, <span style='position:relative;
    1642 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1035"
    1643  type="#_x0000_t75" style='width:44.25pt;height:20.25pt' o:ole="">
    1644  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image019.wmz"
    1645   o:title=""/>
    1646 </v:shape><![endif]--><![if !vml]><img width=59 height=27
    1647 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.png"
    1648 v:shapes="_x0000_i1035"><![endif]></span><!--[if gte mso 9]><xml>
    1649  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1035"
    1650   DrawAspect="Content" ObjectID="_1493033362">
     1646top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1047"
     1647 type="#_x0000_t75" style='width:44.25pt;height:18pt' o:ole="">
     1648 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.wmz"
     1649  o:title=""/>
     1650</v:shape><![endif]--><![if !vml]><img width=59 height=24
     1651src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image021.png"
     1652v:shapes="_x0000_i1047"><![endif]></span><!--[if gte mso 9]><xml>
     1653 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1047"
     1654  DrawAspect="Content" ObjectID="_1493040250">
    16511655 </o:OLEObject>
    16521656</xml><![endif]--><span class=GramE>and </span><span style='position:relative;
    1653 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1036"
    1654  type="#_x0000_t75" style='width:44.25pt;height:20.25pt' o:ole="">
    1655  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image021.wmz"
    1656   o:title=""/>
    1657 </v:shape><![endif]--><![if !vml]><img width=59 height=27
    1658 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.png"
    1659 v:shapes="_x0000_i1036"><![endif]></span><!--[if gte mso 9]><xml>
    1660  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1036"
    1661   DrawAspect="Content" ObjectID="_1493033363">
     1657top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1048"
     1658 type="#_x0000_t75" style='width:42.75pt;height:18pt' o:ole="">
     1659 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.wmz"
     1660  o:title=""/>
     1661</v:shape><![endif]--><![if !vml]><img width=57 height=24
     1662src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image023.png"
     1663v:shapes="_x0000_i1048"><![endif]></span><!--[if gte mso 9]><xml>
     1664 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1048"
     1665  DrawAspect="Content" ObjectID="_1493040251">
    16621666 </o:OLEObject>
    16631667</xml><![endif]-->, are developed from</p>
    16641668
    1665 <p class=gsastext><span style='position:relative;top:10.0pt;mso-text-raise:
    1666 -10.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1037" type="#_x0000_t75"
    1667  style='width:144.75pt;height:24.75pt' o:ole="">
    1668  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image023.wmz"
    1669   o:title=""/>
    1670 </v:shape><![endif]--><![if !vml]><img width=193 height=33
    1671 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image024.png"
    1672 v:shapes="_x0000_i1037"><![endif]></span><!--[if gte mso 9]><xml>
    1673  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1037"
    1674   DrawAspect="Content" ObjectID="_1493033364">
     1669<p class=gsastext><span style='position:relative;top:8.0pt;mso-text-raise:-8.0pt'><!--[if gte vml 1]><v:shape
     1670 id="_x0000_i1049" type="#_x0000_t75" style='width:138pt;height:21pt' o:ole="">
     1671 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image024.wmz"
     1672  o:title=""/>
     1673</v:shape><![endif]--><![if !vml]><img width=184 height=28
     1674src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image025.png"
     1675v:shapes="_x0000_i1049"><![endif]></span><!--[if gte mso 9]><xml>
     1676 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1049"
     1677  DrawAspect="Content" ObjectID="_1493040252">
    16751678 </o:OLEObject>
    16761679</xml><![endif]--></p>
     
    16781681<p class=gsastext><span class=GramE>where</span> the normalized associated
    16791682Legendre functions, <span style='position:relative;top:5.0pt;mso-text-raise:
    1680 -5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1038" type="#_x0000_t75"
    1681  style='width:35.25pt;height:20.25pt' o:ole="">
    1682  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image025.wmz"
    1683   o:title=""/>
    1684 </v:shape><![endif]--><![if !vml]><img width=47 height=27
    1685 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image026.png"
    1686 v:shapes="_x0000_i1038"><![endif]></span><!--[if gte mso 9]><xml>
    1687  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1038"
    1688   DrawAspect="Content" ObjectID="_1493033365">
     1683-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1050" type="#_x0000_t75"
     1684 style='width:33.75pt;height:18pt' o:ole="">
     1685 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image026.wmz"
     1686  o:title=""/>
     1687</v:shape><![endif]--><![if !vml]><img width=45 height=24
     1688src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image027.png"
     1689v:shapes="_x0000_i1050"><![endif]></span><!--[if gte mso 9]><xml>
     1690 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1050"
     1691  DrawAspect="Content" ObjectID="_1493040253">
    16891692 </o:OLEObject>
    16901693</xml><![endif]-->, are defined via a Fourier expansion as</p>
    16911694
    1692 <p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
    1693 -16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1039" type="#_x0000_t75"
    1694  style='width:135.75pt;height:38.25pt' o:ole="">
    1695  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image027.wmz"
    1696   o:title=""/>
    1697 </v:shape><![endif]--><![if !vml]><img width=181 height=51
    1698 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image028.png"
    1699 v:shapes="_x0000_i1039"><![endif]></span><!--[if gte mso 9]><xml>
    1700  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1039"
    1701   DrawAspect="Content" ObjectID="_1493033366">
     1695<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
     1696-14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1051" type="#_x0000_t75"
     1697 style='width:132.75pt;height:33.75pt' o:ole="">
     1698 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image028.wmz"
     1699  o:title=""/>
     1700</v:shape><![endif]--><![if !vml]><img width=177 height=45
     1701src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image029.png"
     1702v:shapes="_x0000_i1051"><![endif]></span><!--[if gte mso 9]><xml>
     1703 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1051"
     1704  DrawAspect="Content" ObjectID="_1493040254">
    17021705 </o:OLEObject>
    17031706</xml><![endif]--></p>
     
    17051708<p class=gsastext><span class=GramE>for</span> m even and</p>
    17061709
    1707 <p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
    1708 -16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1040" type="#_x0000_t75"
    1709  style='width:134.25pt;height:38.25pt' o:ole="">
    1710  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image029.wmz"
    1711   o:title=""/>
    1712 </v:shape><![endif]--><![if !vml]><img width=179 height=51
    1713 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image030.png"
    1714 v:shapes="_x0000_i1040"><![endif]></span><!--[if gte mso 9]><xml>
    1715  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1040"
    1716   DrawAspect="Content" ObjectID="_1493033367">
     1710<p class=gsastext><span style='position:relative;top:14.0pt;mso-text-raise:
     1711-14.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1052" type="#_x0000_t75"
     1712 style='width:132pt;height:33.75pt' o:ole="">
     1713 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image030.wmz"
     1714  o:title=""/>
     1715</v:shape><![endif]--><![if !vml]><img width=176 height=45
     1716src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image031.png"
     1717v:shapes="_x0000_i1052"><![endif]></span><!--[if gte mso 9]><xml>
     1718 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1052"
     1719  DrawAspect="Content" ObjectID="_1493040255">
    17171720 </o:OLEObject>
    17181721</xml><![endif]--></p>
     
    17221725values of s, respectively, because of the properties of the Fourier
    17231726coefficients<span class=GramE>, </span><span style='position:relative;
    1724 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1041"
     1727top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1026"
    17251728 type="#_x0000_t75" style='width:23.25pt;height:20.25pt' o:ole="">
    1726  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image031.wmz"
     1729 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image032.wmz"
    17271730  o:title=""/>
    17281731</v:shape><![endif]--><![if !vml]><img width=31 height=27
    1729 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image032.png"
    1730 v:shapes="_x0000_i1041"><![endif]></span><!--[if gte mso 9]><xml>
    1731  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1041"
    1732   DrawAspect="Content" ObjectID="_1493033368">
     1732src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png"
     1733v:shapes="_x0000_i1026"><![endif]></span><!--[if gte mso 9]><xml>
     1734 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1026"
     1735  DrawAspect="Content" ObjectID="_1493040256">
    17331736 </o:OLEObject>
    17341737</xml><![endif]-->.<span style='mso-spacerun:yes'>  </span>These Fourier
     
    17361739
    17371740<p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
    1738 -16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1042" type="#_x0000_t75"
     1741-16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1027" type="#_x0000_t75"
    17391742 style='width:356.25pt;height:38.25pt' o:ole="">
    1740  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.wmz"
     1743 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image034.wmz"
    17411744  o:title=""/>
    17421745</v:shape><![endif]--><![if !vml]><img width=475 height=51
    1743 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image034.png"
    1744 v:shapes="_x0000_i1042"><![endif]></span><!--[if gte mso 9]><xml>
    1745  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1042"
    1746   DrawAspect="Content" ObjectID="_1493033369">
     1746src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image035.png"
     1747v:shapes="_x0000_i1027"><![endif]></span><!--[if gte mso 9]><xml>
     1748 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027"
     1749  DrawAspect="Content" ObjectID="_1493040257">
    17471750 </o:OLEObject>
    17481751</xml><![endif]--></p>
     
    17501753<p class=gsastext><span class=GramE>is</span> satisfied.<span
    17511754style='mso-spacerun:yes'>  </span>Terms of the form <span style='position:relative;
    1752 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1043"
     1755top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1028"
    17531756 type="#_x0000_t75" style='width:92.25pt;height:20.25pt' o:ole="">
    1754  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image035.wmz"
     1757 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image036.wmz"
    17551758  o:title=""/>
    17561759</v:shape><![endif]--><![if !vml]><img width=123 height=27
    1757 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image036.png"
    1758 v:shapes="_x0000_i1043"><![endif]></span><!--[if gte mso 9]><xml>
    1759  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1043"
    1760   DrawAspect="Content" ObjectID="_1493033370">
     1760src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image037.png"
     1761v:shapes="_x0000_i1028"><![endif]></span><!--[if gte mso 9]><xml>
     1762 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1028"
     1763  DrawAspect="Content" ObjectID="_1493040258">
    17611764 </o:OLEObject>
    17621765</xml><![endif]--><span style='mso-spacerun:yes'> </span>and <span
    17631766style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
    1764  id="_x0000_i1044" type="#_x0000_t75" style='width:90pt;height:20.25pt' o:ole="">
    1765  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image037.wmz"
     1767 id="_x0000_i1029" type="#_x0000_t75" style='width:90pt;height:20.25pt' o:ole="">
     1768 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image038.wmz"
    17661769  o:title=""/>
    17671770</v:shape><![endif]--><![if !vml]><img width=120 height=27
    1768 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image038.png"
    1769 v:shapes="_x0000_i1044"><![endif]></span><!--[if gte mso 9]><xml>
    1770  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1044"
    1771   DrawAspect="Content" ObjectID="_1493033371">
     1771src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png"
     1772v:shapes="_x0000_i1029"><![endif]></span><!--[if gte mso 9]><xml>
     1773 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1029"
     1774  DrawAspect="Content" ObjectID="_1493040259">
    17721775 </o:OLEObject>
    17731776</xml><![endif]-->are combined depending on the symmetry and the value of m
    17741777along with appropriate normalization coefficients to give the harmonic terms <span
    17751778style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
    1776  id="_x0000_i1045" type="#_x0000_t75" style='width:44.25pt;height:20.25pt'
     1779 id="_x0000_i1030" type="#_x0000_t75" style='width:44.25pt;height:20.25pt'
    17771780 o:ole="">
    1778  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.wmz"
     1781 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.wmz"
    17791782  o:title=""/>
    17801783</v:shape><![endif]--><![if !vml]><img width=59 height=27
    1781 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.png"
    1782 v:shapes="_x0000_i1045"><![endif]></span><!--[if gte mso 9]><xml>
    1783  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1045"
    1784   DrawAspect="Content" ObjectID="_1493033372">
     1784src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png"
     1785v:shapes="_x0000_i1030"><![endif]></span><!--[if gte mso 9]><xml>
     1786 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1030"
     1787  DrawAspect="Content" ObjectID="_1493040260">
    17851788 </o:OLEObject>
    17861789</xml><![endif]--><span class=GramE>and </span><span style='position:relative;
    1787 top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1046"
     1790top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1031"
    17881791 type="#_x0000_t75" style='width:44.25pt;height:20.25pt' o:ole="">
    1789  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.wmz"
     1792 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image042.wmz"
    17901793  o:title=""/>
    17911794</v:shape><![endif]--><![if !vml]><img width=59 height=27
    1792 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.png"
    1793 v:shapes="_x0000_i1046"><![endif]></span><!--[if gte mso 9]><xml>
    1794  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1046"
    1795   DrawAspect="Content" ObjectID="_1493033373">
     1795src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image043.png"
     1796v:shapes="_x0000_i1031"><![endif]></span><!--[if gte mso 9]><xml>
     1797 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1031"
     1798  DrawAspect="Content" ObjectID="_1493040261">
    17961799 </o:OLEObject>
    17971800</xml><![endif]-->.<span style='mso-spacerun:yes'>  </span>For cubic crystal
    17981801symmetry, the term <span style='position:relative;top:5.0pt;mso-text-raise:
    1799 -5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1047" type="#_x0000_t75"
     1802-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75"
    18001803 style='width:44.25pt;height:20.25pt' o:ole="">
    1801  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.wmz"
     1804 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image044.wmz"
    18021805  o:title=""/>
    18031806</v:shape><![endif]--><![if !vml]><img width=59 height=27
    1804 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.png"
    1805 v:shapes="_x0000_i1047"><![endif]></span><!--[if gte mso 9]><xml>
    1806  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1047"
    1807   DrawAspect="Content" ObjectID="_1493033374">
     1807src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png"
     1808v:shapes="_x0000_i1032"><![endif]></span><!--[if gte mso 9]><xml>
     1809 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1032"
     1810  DrawAspect="Content" ObjectID="_1493040262">
    18081811 </o:OLEObject>
    18091812</xml><![endif]-->is obtained directly from the Fourier expansion</p>
    18101813
    18111814<p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
    1812 -16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1048" type="#_x0000_t75"
     1815-16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1033" type="#_x0000_t75"
    18131816 style='width:167.25pt;height:38.25pt' o:ole="">
    1814  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image042.wmz"
     1817 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image045.wmz"
    18151818  o:title=""/>
    18161819</v:shape><![endif]--><![if !vml]><img width=223 height=51
    1817 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image043.png"
    1818 v:shapes="_x0000_i1048"><![endif]></span><!--[if gte mso 9]><xml>
    1819  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1048"
    1820   DrawAspect="Content" ObjectID="_1493033375">
     1820src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image046.png"
     1821v:shapes="_x0000_i1033"><![endif]></span><!--[if gte mso 9]><xml>
     1822 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1033"
     1823  DrawAspect="Content" ObjectID="_1493040263">
    18211824 </o:OLEObject>
    18221825</xml><![endif]--></p>
     
    18241827<p class=gsastext><span class=GramE>using</span> the coefficients, <span
    18251828style='position:relative;top:5.0pt;mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape
    1826  id="_x0000_i1049" type="#_x0000_t75" style='width:24pt;height:20.25pt' o:ole="">
    1827  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image044.wmz"
     1829 id="_x0000_i1034" type="#_x0000_t75" style='width:24pt;height:20.25pt' o:ole="">
     1830 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.wmz"
    18281831  o:title=""/>
    18291832</v:shape><![endif]--><![if !vml]><img width=32 height=27
    1830 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image045.png"
    1831 v:shapes="_x0000_i1049"><![endif]></span><!--[if gte mso 9]><xml>
    1832  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1049"
    1833   DrawAspect="Content" ObjectID="_1493033376">
     1833src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png"
     1834v:shapes="_x0000_i1034"><![endif]></span><!--[if gte mso 9]><xml>
     1835 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1034"
     1836  DrawAspect="Content" ObjectID="_1493040264">
    18341837 </o:OLEObject>
    18351838</xml><![endif]-->, as tabulated by Bunge (1982). </p>
     
    18381841constructing derivatives of the profile intensities with respect to the allowed
    18391842harmonic coefficients, <span style='position:relative;top:5.0pt;mso-text-raise:
    1840 -5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1050" type="#_x0000_t75"
     1843-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1035" type="#_x0000_t75"
    18411844 style='width:24pt;height:20.25pt' o:ole="">
    1842  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image046.wmz"
     1845 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.wmz"
    18431846  o:title=""/>
    18441847</v:shape><![endif]--><![if !vml]><img width=32 height=27
    1845 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png"
    1846 v:shapes="_x0000_i1050"><![endif]></span><!--[if gte mso 9]><xml>
    1847  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1050"
    1848   DrawAspect="Content" ObjectID="_1493033377">
     1848src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
     1849v:shapes="_x0000_i1035"><![endif]></span><!--[if gte mso 9]><xml>
     1850 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1035"
     1851  DrawAspect="Content" ObjectID="_1493040265">
    18491852 </o:OLEObject>
    18501853</xml><![endif]-->, and the three sample orientation angles, <span
     
    18541857figures for any reflection may be constructed by use of the general axis
    18551858equation, the refined values for <span style='position:relative;top:5.0pt;
    1856 mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1051" type="#_x0000_t75"
     1859mso-text-raise:-5.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1036" type="#_x0000_t75"
    18571860 style='width:24pt;height:20.25pt' o:ole="">
    1858  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image046.wmz"
     1861 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.wmz"
    18591862  o:title=""/>
    18601863</v:shape><![endif]--><![if !vml]><img width=32 height=27
    1861 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png"
    1862 v:shapes="_x0000_i1051"><![endif]></span><!--[if gte mso 9]><xml>
    1863  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1051"
    1864   DrawAspect="Content" ObjectID="_1493033378">
     1864src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
     1865v:shapes="_x0000_i1036"><![endif]></span><!--[if gte mso 9]><xml>
     1866 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1036"
     1867  DrawAspect="Content" ObjectID="_1493040266">
    18651868 </o:OLEObject>
    18661869</xml><![endif]-->and the sample orientation angles <span style='font-family:
     
    18731876
    18741877<p class=gsastext><span style='position:relative;top:16.0pt;mso-text-raise:
    1875 -16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1052" type="#_x0000_t75"
     1878-16.0pt'><!--[if gte vml 1]><v:shape id="_x0000_i1037" type="#_x0000_t75"
    18761879 style='width:167.25pt;height:39pt' o:ole="">
    1877  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.wmz"
     1880 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.wmz"
    18781881  o:title=""/>
    18791882</v:shape><![endif]--><![if !vml]><img width=223 height=52
    1880 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.png"
    1881 v:shapes="_x0000_i1052"><![endif]></span><!--[if gte mso 9]><xml>
    1882  <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1052"
    1883   DrawAspect="Content" ObjectID="_1493033379">
     1883src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
     1884v:shapes="_x0000_i1037"><![endif]></span><!--[if gte mso 9]><xml>
     1885 <o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1037"
     1886  DrawAspect="Content" ObjectID="_1493040267">
    18841887 </o:OLEObject>
    18851888</xml><![endif]--></p>
     
    19171920<p class=MsoNormal>If you have not done so already, <u><span style='color:#0070C0'><a
    19181921href="Starting%20GSAS.htm"><span style='color:windowtext;text-decoration:none;
    1919 text-underline:none'>start GSAS-II</span></a></span></u>. Note that menu entries
    1920 are listed in <b style='mso-bidi-font-weight:normal'><span style='font-family:
    1921 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
    1922 minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font:minor-latin'>bold
    1923 face</span></b> below as <b style='mso-bidi-font-weight:normal'><span
     1922text-underline:none'>start GSAS-II</span></a></span></u>. Note that menu
     1923entries are listed in <b style='mso-bidi-font-weight:normal'><span
     1924style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
     1925mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font:
     1926minor-latin'>bold face</span></b> below as <b style='mso-bidi-font-weight:normal'><span
    19241927style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    19251928mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font:
     
    19491952 id="Picture_x0020_29" o:spid="_x0000_i1109" type="#_x0000_t75" style='width:525pt;
    19501953 height:450pt;visibility:visible;mso-wrap-style:square'>
    1951  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
     1954 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
    19521955  o:title=""/>
    19531956</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    1954 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png"
     1957src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
    19551958v:shapes="Picture_x0020_29"><![endif]></span></p>
    19561959
     
    19631966 id="Picture_x0020_30" o:spid="_x0000_i1108" type="#_x0000_t75" style='width:472.5pt;
    19641967 height:388.5pt;visibility:visible;mso-wrap-style:square'>
    1965  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png"
     1968 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
    19661969  o:title=""/>
    19671970</v:shape><![endif]--><![if !vml]><img border=0 width=630 height=518
    1968 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png"
     1971src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
    19691972v:shapes="Picture_x0020_30"><![endif]></span></p>
    19701973
     
    19911994 id="Picture_x0020_31" o:spid="_x0000_i1107" type="#_x0000_t75" style='width:472.5pt;
    19921995 height:388.5pt;visibility:visible;mso-wrap-style:square'>
    1993  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
     1996 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
    19941997  o:title=""/>
    19951998</v:shape><![endif]--><![if !vml]><img border=0 width=630 height=518
    1996 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png"
     1999src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
    19972000v:shapes="Picture_x0020_31"><![endif]></span></p>
    19982001
     
    20162019 id="Picture_x0020_32" o:spid="_x0000_i1106" type="#_x0000_t75" style='width:525pt;
    20172020 height:450pt;visibility:visible;mso-wrap-style:square'>
    2018  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
     2021 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
    20192022  o:title=""/>
    20202023</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2021 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png"
     2024src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
    20222025v:shapes="Picture_x0020_32"><![endif]></span></p>
    20232026
     
    20642067 id="Picture_x0020_33" o:spid="_x0000_i1105" type="#_x0000_t75" style='width:525pt;
    20652068 height:450pt;visibility:visible;mso-wrap-style:square'>
    2066  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
     2069 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
    20672070  o:title=""/>
    20682071</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2069 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png"
     2072src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
    20702073v:shapes="Picture_x0020_33"><![endif]></span></p>
    20712074
     
    20752078
    20762079<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2077  id="_x0000_i1104" type="#_x0000_t75" style='width:472.5pt;height:388.5pt;
    2078  visibility:visible;mso-wrap-style:square'>
    2079  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
     2080 id="Picture_x0020_34" o:spid="_x0000_i1104" type="#_x0000_t75" style='width:472.5pt;
     2081 height:388.5pt;visibility:visible;mso-wrap-style:square'>
     2082 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
    20802083  o:title=""/>
    20812084</v:shape><![endif]--><![if !vml]><img border=0 width=630 height=518
    2082 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png"
    2083 v:shapes="_x0000_i1104"><![endif]></span></p>
     2085src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
     2086v:shapes="Picture_x0020_34"><![endif]></span></p>
    20842087
    20852088<p class=MsoNormal>It turns out that the image contains a number of “picked
     
    20912094
    20922095<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2093  id="_x0000_i1103" type="#_x0000_t75" style='width:297.75pt;height:99.75pt;
    2094  visibility:visible;mso-wrap-style:square'>
    2095  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
     2096 id="Picture_x0020_35" o:spid="_x0000_i1103" type="#_x0000_t75" style='width:297.75pt;
     2097 height:99.75pt;visibility:visible;mso-wrap-style:square'>
     2098 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
    20962099  o:title=""/>
    20972100</v:shape><![endif]--><![if !vml]><img border=0 width=397 height=133
    2098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png"
    2099 v:shapes="_x0000_i1103"><![endif]></span></p>
     2101src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
     2102v:shapes="Picture_x0020_35"><![endif]></span></p>
    21002103
    21012104<p class=MsoNormal>Change the <b style='mso-bidi-font-weight:normal'><span
     
    21102113
    21112114<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2112  id="_x0000_i1102" type="#_x0000_t75" style='width:525pt;height:450pt;
    2113  visibility:visible;mso-wrap-style:square'>
    2114  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
     2115 id="Picture_x0020_36" o:spid="_x0000_i1102" type="#_x0000_t75" style='width:525pt;
     2116 height:450pt;visibility:visible;mso-wrap-style:square'>
     2117 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
    21152118  o:title=""/>
    21162119</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2117 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png"
    2118 v:shapes="_x0000_i1102"><![endif]></span></p>
     2120src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
     2121v:shapes="Picture_x0020_36"><![endif]></span></p>
    21192122
    21202123<p class=MsoNormal><span class=GramE>for</span> one ring. This level is too
     
    21332136
    21342137<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2135  id="_x0000_i1101" type="#_x0000_t75" style='width:525pt;height:450pt;
    2136  visibility:visible;mso-wrap-style:square'>
    2137  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
     2138 id="Picture_x0020_37" o:spid="_x0000_i1101" type="#_x0000_t75" style='width:525pt;
     2139 height:450pt;visibility:visible;mso-wrap-style:square'>
     2140 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
    21382141  o:title=""/>
    21392142</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2140 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png"
    2141 v:shapes="_x0000_i1101"><![endif]></span></p>
     2143src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
     2144v:shapes="Picture_x0020_37"><![endif]></span></p>
    21422145
    21432146<h2>Step 2. Enter <span class=SpellE>NiTi</span> phases</h2>
     
    22102213
    22112214<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2212  id="_x0000_i1100" type="#_x0000_t75" style='width:525pt;height:166.5pt;
    2213  visibility:visible;mso-wrap-style:square'>
    2214  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
     2215 id="Picture_x0020_38" o:spid="_x0000_i1100" type="#_x0000_t75" style='width:525pt;
     2216 height:166.5pt;visibility:visible;mso-wrap-style:square'>
     2217 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
    22152218  o:title=""/>
    22162219</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=222
    2217 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png"
    2218 v:shapes="_x0000_i1100"><![endif]></span></p>
     2220src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
     2221v:shapes="Picture_x0020_38"><![endif]></span></p>
    22192222
    22202223<p class=MsoNormal><span class=GramE>and</span> the B19’ Atoms table should be</p>
    22212224
    22222225<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2223  id="_x0000_i1099" type="#_x0000_t75" style='width:525pt;height:163.5pt;
    2224  visibility:visible;mso-wrap-style:square'>
    2225  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
     2226 id="Picture_x0020_39" o:spid="_x0000_i1099" type="#_x0000_t75" style='width:525pt;
     2227 height:163.5pt;visibility:visible;mso-wrap-style:square'>
     2228 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
    22262229  o:title=""/>
    22272230</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=218
    2228 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png"
    2229 v:shapes="_x0000_i1099"><![endif]></span></p>
     2231src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
     2232v:shapes="Picture_x0020_39"><![endif]></span></p>
    22302233
    22312234<p class=MsoNormal>Next go to the <b style='mso-bidi-font-weight:normal'><span
    22322235style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    2233 mso-hansi-theme-font:minor-latin'>Data</span></b> tab for each phase; there will
    2234 be a message indicating the lack of data for each. Do <b style='mso-bidi-font-weight:
     2236mso-hansi-theme-font:minor-latin'>Data</span></b> tab for each phase; there
     2237will be a message indicating the lack of data for each. Do <b style='mso-bidi-font-weight:
    22352238normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
    22362239minor-latin;mso-hansi-theme-font:minor-latin'>Edit/Add powder histograms</span></b>,
     
    22432246
    22442247<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2245  id="_x0000_i1098" type="#_x0000_t75" style='width:342.75pt;height:375pt;
    2246  visibility:visible;mso-wrap-style:square'>
    2247  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
     2248 id="Picture_x0020_40" o:spid="_x0000_i1098" type="#_x0000_t75" style='width:342.75pt;
     2249 height:375pt;visibility:visible;mso-wrap-style:square'>
     2250 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
    22482251  o:title=""/>
    22492252</v:shape><![endif]--><![if !vml]><img border=0 width=457 height=500
    2250 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
    2251 v:shapes="_x0000_i1098"><![endif]></span></p>
     2253src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
     2254v:shapes="Picture_x0020_40"><![endif]></span></p>
    22522255
    22532256<p class=MsoNormal><span class=GramE>and</span> that for B19’ will be</p>
    22542257
    22552258<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2256  id="_x0000_i1097" type="#_x0000_t75" style='width:370.5pt;height:375pt;
    2257  visibility:visible;mso-wrap-style:square'>
    2258  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
     2259 id="Picture_x0020_41" o:spid="_x0000_i1097" type="#_x0000_t75" style='width:370.5pt;
     2260 height:375pt;visibility:visible;mso-wrap-style:square'>
     2261 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
    22592262  o:title=""/>
    22602263</v:shape><![endif]--><![if !vml]><img border=0 width=494 height=500
    2261 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png"
    2262 v:shapes="_x0000_i1097"><![endif]></span></p>
     2264src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
     2265v:shapes="Picture_x0020_41"><![endif]></span></p>
    22632266
    22642267<p class=MsoNormal>You should now save the project file (I used <span
     
    22812284<h3>Introduction</h3>
    22822285
    2283 <p class=MsoNormal>In this method we will do a full Rietveld refinement of the
    2284 texture, profile parameters, peak position variables and crystal structure
    2285 parameters. This is suitable in this case because of the relatively small
    2286 number of histograms (10 in this case) needed for the texture determination; do
    2287 recall that each phase in each histogram has a set of parameters (e.g. phase
    2288 fraction, size, <span class=SpellE>mustrain</span> &amp; hydrostatic strain) in
    2289 addition to the ones for each histogram (e.g. background &amp; scale factor).
     2286<p class=MsoNormal>In this method we will do a full Rietveld refinement of the texture,
     2287profile parameters, peak position variables and crystal structure parameters.
     2288This is suitable in this case because of the relatively small number of
     2289histograms (10 in this case) needed for the texture determination; do recall
     2290that each phase in each histogram has a set of parameters (e.g. phase fraction,
     2291size, <span class=SpellE>mustrain</span> &amp; hydrostatic strain) in addition
     2292to the ones for each histogram (e.g. background &amp; scale factor).
    22902293Consequently the total number of parameters can build up very quickly in this
    22912294method of analysis. The other two methods seek to reduce this problem by
     
    23242327
    23252328<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2326  id="_x0000_i1096" type="#_x0000_t75" style='width:342.75pt;height:375pt;
    2327  visibility:visible;mso-wrap-style:square'>
    2328  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
     2329 id="Picture_x0020_42" o:spid="_x0000_i1096" type="#_x0000_t75" style='width:342.75pt;
     2330 height:375pt;visibility:visible;mso-wrap-style:square'>
     2331 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
    23292332  o:title=""/>
    23302333</v:shape><![endif]--><![if !vml]><img border=0 width=457 height=500
    2331 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png"
    2332 v:shapes="_x0000_i1096"><![endif]></span></p>
     2334src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
     2335v:shapes="Picture_x0020_42"><![endif]></span></p>
    23332336
    23342337<p class=MsoNormal>Select the <b style='mso-bidi-font-weight:normal'><span
     
    23582361
    23592362<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2360  id="_x0000_i1095" type="#_x0000_t75" style='width:525pt;height:450pt;
    2361  visibility:visible;mso-wrap-style:square'>
    2362  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
     2363 id="Picture_x0020_43" o:spid="_x0000_i1095" type="#_x0000_t75" style='width:525pt;
     2364 height:450pt;visibility:visible;mso-wrap-style:square'>
     2365 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
    23632366  o:title=""/>
    23642367</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2365 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png"
    2366 v:shapes="_x0000_i1095"><![endif]></span></p>
     2368src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
     2369v:shapes="Picture_x0020_43"><![endif]></span></p>
    23672370
    23682371<p class=MsoNormal>This is quite poor. You can survey the fit successively by 1<sup>st</sup>
     
    23802383
    23812384<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2382  id="_x0000_i1094" type="#_x0000_t75" style='width:456pt;height:217.5pt;
    2383  visibility:visible;mso-wrap-style:square'>
    2384  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
     2385 id="Picture_x0020_44" o:spid="_x0000_i1094" type="#_x0000_t75" style='width:456pt;
     2386 height:217.5pt;visibility:visible;mso-wrap-style:square'>
     2387 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
    23852388  o:title=""/>
    23862389</v:shape><![endif]--><![if !vml]><img border=0 width=608 height=290
    2387 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
    2388 v:shapes="_x0000_i1094"><![endif]></span></p>
     2390src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
     2391v:shapes="Picture_x0020_44"><![endif]></span></p>
    23892392
    23902393<p class=MsoNormal>The texture model is <b style='mso-bidi-font-weight:normal'><span
     
    24042407
    24052408<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2406  id="_x0000_i1093" type="#_x0000_t75" style='width:456pt;height:250.5pt;
    2407  visibility:visible;mso-wrap-style:square'>
    2408  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
     2409 id="Picture_x0020_45" o:spid="_x0000_i1093" type="#_x0000_t75" style='width:456pt;
     2410 height:250.5pt;visibility:visible;mso-wrap-style:square'>
     2411 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
    24092412  o:title=""/>
    24102413</v:shape><![endif]--><![if !vml]><img border=0 width=608 height=334
    2411 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
    2412 v:shapes="_x0000_i1093"><![endif]></span></p>
     2414src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
     2415v:shapes="Picture_x0020_45"><![endif]></span></p>
    24132416
    24142417<p class=MsoNormal>Then go to the <b style='mso-bidi-font-weight:normal'><span
     
    24222425
    24232426<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2424  id="_x0000_i1092" type="#_x0000_t75" style='width:342.75pt;height:375pt;
    2425  visibility:visible;mso-wrap-style:square'>
    2426  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
     2427 id="Picture_x0020_46" o:spid="_x0000_i1092" type="#_x0000_t75" style='width:342.75pt;
     2428 height:375pt;visibility:visible;mso-wrap-style:square'>
     2429 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
    24272430  o:title=""/>
    24282431</v:shape><![endif]--><![if !vml]><img border=0 width=457 height=500
    2429 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png"
    2430 v:shapes="_x0000_i1092"><![endif]></span></p>
     2432src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
     2433v:shapes="Picture_x0020_46"><![endif]></span></p>
    24312434
    24322435<p class=MsoNormal>Then do <b style='mso-bidi-font-weight:normal'><span
     
    24492452
    24502453<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2451  id="_x0000_i1091" type="#_x0000_t75" style='width:478.5pt;height:302.25pt;
    2452  visibility:visible;mso-wrap-style:square'>
    2453  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
     2454 id="Picture_x0020_47" o:spid="_x0000_i1091" type="#_x0000_t75" style='width:478.5pt;
     2455 height:302.25pt;visibility:visible;mso-wrap-style:square'>
     2456 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
    24542457  o:title=""/>
    24552458</v:shape><![endif]--><![if !vml]><img border=0 width=638 height=403
    2456 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
    2457 v:shapes="_x0000_i1091"><![endif]></span></p>
     2459src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
     2460v:shapes="Picture_x0020_47"><![endif]></span></p>
    24582461
    24592462<p class=MsoNormal>Then go to the <b style='mso-bidi-font-weight:normal'><span
     
    24702473
    24712474<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2472  id="_x0000_i1090" type="#_x0000_t75" style='width:370.5pt;height:375pt;
    2473  visibility:visible;mso-wrap-style:square'>
    2474  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
     2475 id="Picture_x0020_48" o:spid="_x0000_i1090" type="#_x0000_t75" style='width:370.5pt;
     2476 height:375pt;visibility:visible;mso-wrap-style:square'>
     2477 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
    24752478  o:title=""/>
    24762479</v:shape><![endif]--><![if !vml]><img border=0 width=494 height=500
    2477 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
    2478 v:shapes="_x0000_i1090"><![endif]></span></p>
     2480src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
     2481v:shapes="Picture_x0020_48"><![endif]></span></p>
    24792482
    24802483<p class=MsoNormal>Now do <b style='mso-bidi-font-weight:normal'><span
     
    24852488
    24862489<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2487  id="_x0000_i1089" type="#_x0000_t75" style='width:525pt;height:413.25pt;
    2488  visibility:visible;mso-wrap-style:square'>
    2489  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
     2490 id="Picture_x0020_49" o:spid="_x0000_i1089" type="#_x0000_t75" style='width:525pt;
     2491 height:413.25pt;visibility:visible;mso-wrap-style:square'>
     2492 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
    24902493  o:title=""/>
    24912494</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
    2492 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png"
    2493 v:shapes="_x0000_i1089"><![endif]></span></p>
     2495src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
     2496v:shapes="Picture_x0020_49"><![endif]></span></p>
    24942497
    24952498<p class=MsoNormal>The calculated peaks for both phases are too sharp. It is
     
    25182521
    25192522<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2520  id="_x0000_i1088" type="#_x0000_t75" style='width:525pt;height:413.25pt;
    2521  visibility:visible;mso-wrap-style:square'>
    2522  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
     2523 id="Picture_x0020_50" o:spid="_x0000_i1088" type="#_x0000_t75" style='width:525pt;
     2524 height:413.25pt;visibility:visible;mso-wrap-style:square'>
     2525 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
    25232526  o:title=""/>
    25242527</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
    2525 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png"
    2526 v:shapes="_x0000_i1088"><![endif]></span></p>
     2528src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
     2529v:shapes="Picture_x0020_50"><![endif]></span></p>
    25272530
    25282531<p class=MsoNormal>It is evident that there remains intensity differences due
     
    25342537 id="Picture_x0020_18" o:spid="_x0000_i1087" type="#_x0000_t75" style='width:456pt;
    25352538 height:250.5pt;visibility:visible;mso-wrap-style:square'>
    2536  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
     2539 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
    25372540  o:title=""/>
    25382541</v:shape><![endif]--><![if !vml]><img border=0 width=608 height=334
    2539 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png"
     2542src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
    25402543v:shapes="Picture_x0020_18"><![endif]></span></p>
    25412544
     
    25462549
    25472550<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2548  id="_x0000_i1086" type="#_x0000_t75" style='width:525pt;height:413.25pt;
    2549  visibility:visible;mso-wrap-style:square'>
    2550  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
     2551 id="Picture_x0020_52" o:spid="_x0000_i1086" type="#_x0000_t75" style='width:525pt;
     2552 height:413.25pt;visibility:visible;mso-wrap-style:square'>
     2553 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
    25512554  o:title=""/>
    25522555</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
    2553 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png"
    2554 v:shapes="_x0000_i1086"><![endif]></span></p>
     2556src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
     2557v:shapes="Picture_x0020_52"><![endif]></span></p>
    25552558
    25562559<p class=MsoNormal>This shows the probability of reflection vectors coinciding
     
    25632566
    25642567<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2565  id="_x0000_i1085" type="#_x0000_t75" style='width:525pt;height:413.25pt;
    2566  visibility:visible;mso-wrap-style:square'>
    2567  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
     2568 id="Picture_x0020_53" o:spid="_x0000_i1085" type="#_x0000_t75" style='width:525pt;
     2569 height:413.25pt;visibility:visible;mso-wrap-style:square'>
     2570 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
    25682571  o:title=""/>
    25692572</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
    2570 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png"
    2571 v:shapes="_x0000_i1085"><![endif]></span></p>
     2573src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
     2574v:shapes="Picture_x0020_53"><![endif]></span></p>
    25722575
    25732576<p class=MsoNormal>This phase is very strongly textured (the cursor shows 12-13
     
    25872590
    25882591<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2589  id="_x0000_i1084" type="#_x0000_t75" style='width:502.5pt;height:375pt;
    2590  visibility:visible;mso-wrap-style:square'>
    2591  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
     2592 id="Picture_x0020_54" o:spid="_x0000_i1084" type="#_x0000_t75" style='width:502.5pt;
     2593 height:375pt;visibility:visible;mso-wrap-style:square'>
     2594 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
    25922595  o:title=""/>
    25932596</v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
    2594 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png"
    2595 v:shapes="_x0000_i1084"><![endif]></span></p>
     2597src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
     2598v:shapes="Picture_x0020_54"><![endif]></span></p>
    25962599
    25972600<p class=MsoNormal><span class=GramE>and</span> inverse pole figure</p>
    25982601
    25992602<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2600  id="_x0000_i1083" type="#_x0000_t75" style='width:525pt;height:413.25pt;
    2601  visibility:visible;mso-wrap-style:square'>
    2602  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
     2603 id="Picture_x0020_55" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:525pt;
     2604 height:413.25pt;visibility:visible;mso-wrap-style:square'>
     2605 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
    26032606  o:title=""/>
    26042607</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
    2605 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png"
    2606 v:shapes="_x0000_i1083"><![endif]></span></p>
     2608src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
     2609v:shapes="Picture_x0020_55"><![endif]></span></p>
    26072610
    26082611<p class=MsoNormal>The B2 coefficients</p>
    26092612
    26102613<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2611  id="_x0000_i1082" type="#_x0000_t75" style='width:480pt;height:267.75pt;
    2612  visibility:visible;mso-wrap-style:square'>
    2613  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
     2614 id="Picture_x0020_56" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:480pt;
     2615 height:267.75pt;visibility:visible;mso-wrap-style:square'>
     2616 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
    26142617  o:title=""/>
    26152618</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
    2616 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png"
    2617 v:shapes="_x0000_i1082"><![endif]></span></p>
     2619src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
     2620v:shapes="Picture_x0020_56"><![endif]></span></p>
    26182621
    26192622<p class=MsoNormal><span class=GramE>and</span> inverse pole figure</p>
    26202623
    26212624<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2622  id="_x0000_i1081" type="#_x0000_t75" style='width:525pt;height:413.25pt;
    2623  visibility:visible;mso-wrap-style:square'>
    2624  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
     2625 id="Picture_x0020_57" o:spid="_x0000_i1081" type="#_x0000_t75" style='width:525pt;
     2626 height:413.25pt;visibility:visible;mso-wrap-style:square'>
     2627 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
    26252628  o:title=""/>
    26262629</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=551
    2627 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png"
    2628 v:shapes="_x0000_i1081"><![endif]></span></p>
     2630src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
     2631v:shapes="Picture_x0020_57"><![endif]></span></p>
    26292632
    26302633<p class=MsoNormal>This completes the tutorial on Method A for doing texture
     
    26442647to convergence in a serial fashion. In this case where there are 10 PWDR data
    26452648sets, there will be 10 refinements done in sequence. Parameters that span all
    2646 the data (e.g. lattice parameters, atom parameters &amp; texture) are not varied
    2647 in this sequence refinement. The effect of texture is modeled as a Preferred
    2648 Orientation correction to each histogram. To begin do <b style='mso-bidi-font-weight:
    2649 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
    2650 minor-latin;mso-hansi-theme-font:minor-latin'>File/Open project
    2651 </span></b> for
    2652 the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span
     2649the data (e.g. lattice parameters, atom parameters &amp; texture) are not
     2650varied in this sequence refinement. The effect of texture is modeled as a
     2651Preferred Orientation correction to each histogram. To begin do <b
     2652style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
     2653mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>File/Open project
     2654</span></b>
     2655for the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span
    26532656style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    26542657mso-hansi-theme-font:minor-latin'>NiTi.gpx</span></b></span> file created in
     
    26612664mso-hansi-theme-font:minor-latin'>NiTi</span></b></span><b style='mso-bidi-font-weight:
    26622665normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
    2663 minor-latin;mso-hansi-theme-font:minor-latin'>-B</span></b>. This renames the project
    2664 and it should have one IMG, 10 PWDR entries and two phases of <span
     2666minor-latin;mso-hansi-theme-font:minor-latin'>-B</span></b>. This renames the
     2667project and it should have one IMG, 10 PWDR entries and two phases of <span
    26652668class=SpellE>NiTi</span> (B2 and B19’).</p>
    26662669
     
    27342737 id="Picture_x0020_1" o:spid="_x0000_i1080" type="#_x0000_t75" style='width:330.75pt;
    27352738 height:153.75pt;visibility:visible;mso-wrap-style:square'>
    2736  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
     2739 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
    27372740  o:title=""/>
    27382741</v:shape><![endif]--><![if !vml]><img border=0 width=441 height=205
    2739 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png"
     2742src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
    27402743v:shapes="Picture_x0020_1"><![endif]></span></p>
    27412744
     
    27582761 id="Picture_x0020_2" o:spid="_x0000_i1079" type="#_x0000_t75" style='width:330.75pt;
    27592762 height:163.5pt;visibility:visible;mso-wrap-style:square'>
    2760  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
     2763 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
    27612764  o:title=""/>
    27622765</v:shape><![endif]--><![if !vml]><img border=0 width=441 height=218
    2763 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png"
     2766src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
    27642767v:shapes="Picture_x0020_2"><![endif]></span></p>
    27652768
    27662769<p class=MsoNormal>You have the choice of starting at the last one and for
    2767 copying results from one to the next. We won’t do either here. Each refinement
    2768 will use the other controls (e.g. <b style='mso-bidi-font-weight:normal'><span
     2770copying results from one to the next. We won’t do either here. Each refinement will
     2771use the other controls (e.g. <b style='mso-bidi-font-weight:normal'><span
    27692772style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    27702773mso-hansi-theme-font:minor-latin'>Max cycles</span></b>) as controls. We are
     
    27872790 id="Picture_x0020_3" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:525pt;
    27882791 height:262.5pt;visibility:visible;mso-wrap-style:square'>
    2789  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
     2792 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
    27902793  o:title=""/>
    27912794</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
    2792 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png"
     2795src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
    27932796v:shapes="Picture_x0020_3"><![endif]></span></p>
    27942797
     
    28072810 id="Picture_x0020_4" o:spid="_x0000_i1077" type="#_x0000_t75" style='width:525pt;
    28082811 height:450pt;visibility:visible;mso-wrap-style:square'>
    2809  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
     2812 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
    28102813  o:title=""/>
    28112814</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2812 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png"
     2815src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
    28132816v:shapes="Picture_x0020_4"><![endif]></span></p>
    28142817
     
    28192822 id="Picture_x0020_5" o:spid="_x0000_i1076" type="#_x0000_t75" style='width:381pt;
    28202823 height:375pt;visibility:visible;mso-wrap-style:square'>
    2821  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
     2824 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
    28222825  o:title=""/>
    28232826</v:shape><![endif]--><![if !vml]><img border=0 width=508 height=500
    2824 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png"
     2827src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
    28252828v:shapes="Picture_x0020_5"><![endif]></span></p>
    28262829
     
    28332836 id="Picture_x0020_6" o:spid="_x0000_i1075" type="#_x0000_t75" style='width:240pt;
    28342837 height:232.5pt;visibility:visible;mso-wrap-style:square'>
    2835  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
     2838 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
    28362839  o:title=""/>
    28372840</v:shape><![endif]--><![if !vml]><img border=0 width=320 height=310
    2838 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image083.png"
     2841src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
    28392842v:shapes="Picture_x0020_6"><![endif]></span></p>
    28402843
     
    28522855 id="Picture_x0020_7" o:spid="_x0000_i1074" type="#_x0000_t75" style='width:381pt;
    28532856 height:467.25pt;visibility:visible;mso-wrap-style:square'>
    2854  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
     2857 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
    28552858  o:title=""/>
    28562859</v:shape><![endif]--><![if !vml]><img border=0 width=508 height=623
    2857 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image084.png"
     2860src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
    28582861v:shapes="Picture_x0020_7"><![endif]></span></p>
    28592862
    2860 <p class=MsoNormal>We are now ready for the next refinement; do Calculate/Sequential
    2861 refine. Be careful not (by habit say) pick Refine; a warning popup will appear.
    2862 After it completes the Sequential refinement results shows that the fit is
    2863 better but convergence wasn’t quite complete.</p>
     2863<p class=MsoNormal>We are now ready for the next refinement; do
     2864Calculate/Sequential refine. Be careful not (by habit say) pick Refine; a
     2865warning popup will appear. After it completes the Sequential refinement results
     2866shows that the fit is better but convergence wasn’t quite complete.</p>
    28642867
    28652868<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    28662869 id="Picture_x0020_8" o:spid="_x0000_i1073" type="#_x0000_t75" style='width:525pt;
    28672870 height:262.5pt;visibility:visible;mso-wrap-style:square'>
    2868  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
     2871 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
    28692872  o:title=""/>
    28702873</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
    2871 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png"
     2874src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
    28722875v:shapes="Picture_x0020_8"><![endif]></span></p>
    28732876
     
    28782881 id="Picture_x0020_9" o:spid="_x0000_i1072" type="#_x0000_t75" style='width:525pt;
    28792882 height:450pt;visibility:visible;mso-wrap-style:square'>
    2880  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
     2883 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
    28812884  o:title=""/>
    28822885</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2883 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png"
     2886src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
    28842887v:shapes="Picture_x0020_9"><![endif]></span></p>
    28852888
     
    28942897 id="Picture_x0020_10" o:spid="_x0000_i1071" type="#_x0000_t75" style='width:525pt;
    28952898 height:262.5pt;visibility:visible;mso-wrap-style:square'>
    2896  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
     2899 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
    28972900  o:title=""/>
    28982901</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
    2899 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png"
     2902src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
    29002903v:shapes="Picture_x0020_10"><![endif]></span></p>
    29012904
    2902 <p class=MsoNormal>Repeating the sequential refinement (twice) gave convergence.</p>
     2905<p class=MsoNormal>Repeating the sequential refinement (twice) gave
     2906convergence.</p>
    29032907
    29042908<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    29052909 id="Picture_x0020_11" o:spid="_x0000_i1070" type="#_x0000_t75" style='width:525pt;
    29062910 height:262.5pt;visibility:visible;mso-wrap-style:square'>
    2907  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
     2911 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
    29082912  o:title=""/>
    29092913</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
    2910 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png"
     2914src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
    29112915v:shapes="Picture_x0020_11"><![endif]></span></p>
    29122916
     
    29172921 id="Picture_x0020_12" o:spid="_x0000_i1069" type="#_x0000_t75" style='width:525pt;
    29182922 height:450pt;visibility:visible;mso-wrap-style:square'>
    2919  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
     2923 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
    29202924  o:title=""/>
    29212925</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    2922 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png"
     2926src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
    29232927v:shapes="Picture_x0020_12"><![endif]></span></p>
    29242928
     
    29322936 id="Picture_x0020_13" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:525pt;
    29332937 height:262.5pt;visibility:visible;mso-wrap-style:square'>
    2934  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
     2938 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
    29352939  o:title=""/>
    29362940</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=350
    2937 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image090.png"
     2941src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
    29382942v:shapes="Picture_x0020_13"><![endif]></span></p>
    29392943
     
    29452949<p class=MsoNormal>During the sequential refinements done in Step 1, we fitted
    29462950the profiles allowing strain parameters (<span class=SpellE>Dij</span>) for
    2947 peak position shifts and <span class=SpellE>microstrain</span> for peak shape.
    2948 We modeled the intensity variation with a spherical harmonics preferred
     2951peak position shifts and <span class=SpellE>microstrain</span> for peak shape. We
     2952modeled the intensity variation with a spherical harmonics preferred
    29492953orientation correction. If you select any PWDR entry from the GSAS-II data tree
    29502954and pick the Reflection List subentry (at the bottom) you can see the magnitude
     
    29562960 id="Picture_x0020_14" o:spid="_x0000_i1067" type="#_x0000_t75" style='width:659.25pt;
    29572961 height:262.5pt;visibility:visible;mso-wrap-style:square'>
    2958  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
     2962 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
    29592963  o:title=""/>
    29602964</v:shape><![endif]--><![if !vml]><img border=0 width=879 height=350
    2961 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image091.png"
     2965src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
    29622966v:shapes="Picture_x0020_14"><![endif]></span></p>
    29632967
     
    29672971 id="Picture_x0020_15" o:spid="_x0000_i1066" type="#_x0000_t75" style='width:659.25pt;
    29682972 height:273pt;visibility:visible;mso-wrap-style:square'>
    2969  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
     2973 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
    29702974  o:title=""/>
    29712975</v:shape><![endif]--><![if !vml]><img border=0 width=879 height=364
    2972 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image092.png"
     2976src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
    29732977v:shapes="Picture_x0020_15"><![endif]></span></p>
    29742978
     
    29822986 id="Picture_x0020_16" o:spid="_x0000_i1065" type="#_x0000_t75" style='width:456pt;
    29832987 height:217.5pt;visibility:visible;mso-wrap-style:square'>
    2984  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
     2988 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
    29852989  o:title=""/>
    29862990</v:shape><![endif]--><![if !vml]><img border=0 width=608 height=290
    2987 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png"
     2991src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png"
    29882992v:shapes="Picture_x0020_16"><![endif]></span></p>
    29892993
     
    29963000 id="Picture_x0020_17" o:spid="_x0000_i1064" type="#_x0000_t75" style='width:456pt;
    29973001 height:250.5pt;visibility:visible;mso-wrap-style:square'>
    2998  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
     3002 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
    29993003  o:title=""/>
    30003004</v:shape><![endif]--><![if !vml]><img border=0 width=608 height=334
    3001 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png"
     3005src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png"
    30023006v:shapes="Picture_x0020_17"><![endif]></span></p>
    30033007
     
    30083012 id="Picture_x0020_20" o:spid="_x0000_i1063" type="#_x0000_t75" style='width:480pt;
    30093013 height:267.75pt;visibility:visible;mso-wrap-style:square'>
    3010  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
     3014 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
    30113015  o:title=""/>
    30123016</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
    3013 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png"
     3017src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
    30143018v:shapes="Picture_x0020_20"><![endif]></span></p>
    30153019
     
    30203024 id="Picture_x0020_19" o:spid="_x0000_i1062" type="#_x0000_t75" style='width:525pt;
    30213025 height:450pt;visibility:visible;mso-wrap-style:square'>
    3022  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
     3026 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
    30233027  o:title=""/>
    30243028</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    3025 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png"
     3029src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
    30263030v:shapes="Picture_x0020_19"><![endif]></span></p>
    30273031
     
    30303034
    30313035<p class=MsoNormal>Now select the Texture tab for the B19’ phase and do the
    3032 same; use Harmonic order 10 as we did earlier in Method A. After setting the two
    3033 flags and doing Texture/Refine texture we get</p>
     3036same; use Harmonic order 10 as we did earlier in Method A. After setting the
     3037two flags and doing Texture/Refine texture we get</p>
    30343038
    30353039<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    30363040 id="Picture_x0020_21" o:spid="_x0000_i1061" type="#_x0000_t75" style='width:502.5pt;
    30373041 height:375pt;visibility:visible;mso-wrap-style:square'>
    3038  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
     3042 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
    30393043  o:title=""/>
    30403044</v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
    3041 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png"
     3045src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
    30423046v:shapes="Picture_x0020_21"><![endif]></span></p>
    30433047
     
    30483052 id="Picture_x0020_22" o:spid="_x0000_i1060" type="#_x0000_t75" style='width:525pt;
    30493053 height:450pt;visibility:visible;mso-wrap-style:square'>
    3050  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
     3054 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
    30513055  o:title=""/>
    30523056</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    3053 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png"
     3057src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
    30543058v:shapes="Picture_x0020_22"><![endif]></span></p>
    30553059
     
    30573061again not quite as strong (max MRD ~13 instead of ~18).</p>
    30583062
    3059 <p class=MsoNormal>Now do a File/Save project from the main menu; this saves the
    3060 final texture results done in Step 2 (you also will need it for Method C).</p>
     3063<p class=MsoNormal>Now do a File/Save project from the main menu; this saves
     3064the final texture results done in Step 2 (you also will need it for Method C).</p>
    30613065
    30623066<h2>Method C. Sequential refinement &amp; full texture refinement</h2>
     
    30733077the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span
    30743078style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    3075 mso-hansi-theme-font:minor-latin'>NiTi-B.gpx</span></b></span> file created in Method
    3076 B and then do a <b style='mso-bidi-font-weight:normal'><span style='font-family:
    3077 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
    3078 minor-latin'>File/Save project as
    3079 </span></b> to save it as <span class=SpellE><b
    3080 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
    3081 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>NiTi</span></b></span><b
    3082 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
    3083 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>-C</span></b>.
    3084 This renames the project and it should have one IMG, 10 PWDR entries and two
    3085 phases of <span class=SpellE>NiTi</span> (B2 and B19’).</p>
     3079mso-hansi-theme-font:minor-latin'>NiTi-B.gpx</span></b></span> file created in
     3080Method B and then do a <b style='mso-bidi-font-weight:normal'><span
     3081style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
     3082mso-hansi-theme-font:minor-latin'>File/Save project as
     3083</span></b> to save it
     3084as <span class=SpellE><b style='mso-bidi-font-weight:normal'><span
     3085style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
     3086mso-hansi-theme-font:minor-latin'>NiTi</span></b></span><b style='mso-bidi-font-weight:
     3087normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
     3088minor-latin;mso-hansi-theme-font:minor-latin'>-C</span></b>. This renames the
     3089project and it should have one IMG, 10 PWDR entries and two phases of <span
     3090class=SpellE>NiTi</span> (B2 and B19’).</p>
    30863091
    30873092<h3>Step 1. Clearing unwanted variables from sequential refinement</h3>
     
    30923097These are listed below:</p>
    30933098
    3094 <p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l1 level1 lfo3'><![if !supportLists]><span
     3099<p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l1 level1 lfo4'><![if !supportLists]><span
    30953100style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1)<span
    30963101style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
     
    31113116refinement flags.</p>
    31123117
    3113 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l1 level1 lfo3'><![if !supportLists]><span
     3118<p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l1 level1 lfo4'><![if !supportLists]><span
    31143119style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2)<span
    31153120style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
     
    31333138style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    31343139mso-hansi-theme-font:minor-latin'>Harmonic order</span></b> to zero (this will
    3135 avoid a lot of nasty (but harmless) messages at the start of the refinement). Then
    3136 do <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
     3140avoid a lot of nasty (but harmless) messages at the start of the refinement).
     3141Then do <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
    31373142mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit/Copy
    31383143flags</span></b> selecting all data to clear all the flags and an <b
     
    31443149copy the zeroed out harmonic coefficients.</p>
    31453150
    3146 <p class=MsoListParagraphCxSpLast style='text-indent:-.25in;mso-list:l1 level1 lfo3'><![if !supportLists]><span
     3151<p class=MsoListParagraphCxSpLast style='text-indent:-.25in;mso-list:l1 level1 lfo4'><![if !supportLists]><span
    31473152style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3)<span
    31483153style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b
     
    31753180normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:
    31763181minor-latin;mso-hansi-theme-font:minor-latin'>Pref.Ori</span></b></span> to
    3177 copy the zeroed out harmonic coefficients.<o:p></o:p></p>
     3182copy the zeroed out harmonic coefficients.</p>
    31783183
    31793184<p class=MsoNormal style='margin-left:.25in'><o:p>&nbsp;</o:p></p>
     
    31933198 id="Picture_x0020_23" o:spid="_x0000_i1059" type="#_x0000_t75" style='width:480pt;
    31943199 height:267.75pt;visibility:visible;mso-wrap-style:square'>
    3195  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
     3200 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
    31963201  o:title=""/>
    31973202</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
    3198 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png"
     3203src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
    31993204v:shapes="Picture_x0020_23"><![endif]></span></p>
    32003205
     
    32143219 id="Picture_x0020_24" o:spid="_x0000_i1058" type="#_x0000_t75" style='width:480pt;
    32153220 height:267.75pt;visibility:visible;mso-wrap-style:square'>
    3216  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
     3221 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
    32173222  o:title=""/>
    32183223</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
    3219 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png"
     3224src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
    32203225v:shapes="Picture_x0020_24"><![endif]></span></p>
    32213226
     
    32493254 id="Picture_x0020_25" o:spid="_x0000_i1057" type="#_x0000_t75" style='width:363pt;
    32503255 height:120.75pt;visibility:visible;mso-wrap-style:square'>
    3251  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
     3256 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
    32523257  o:title=""/>
    32533258</v:shape><![endif]--><![if !vml]><img border=0 width=484 height=161
    3254 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png"
     3259src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
    32553260v:shapes="Picture_x0020_25"><![endif]></span></p>
    32563261
     
    32753280 id="Picture_x0020_26" o:spid="_x0000_i1056" type="#_x0000_t75" style='width:525pt;
    32763281 height:450pt;visibility:visible;mso-wrap-style:square'>
    3277  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
     3282 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
    32783283  o:title=""/>
    32793284</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    3280 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png"
     3285src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
    32813286v:shapes="Picture_x0020_26"><![endif]></span></p>
    32823287
     
    32873292 id="Picture_x0020_27" o:spid="_x0000_i1055" type="#_x0000_t75" style='width:480pt;
    32883293 height:267.75pt;visibility:visible;mso-wrap-style:square'>
    3289  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
     3294 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
    32903295  o:title=""/>
    32913296</v:shape><![endif]--><![if !vml]><img border=0 width=640 height=357
    3292 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png"
     3297src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png"
    32933298v:shapes="Picture_x0020_27"><![endif]></span></p>
    32943299
     
    33033308 id="Picture_x0020_28" o:spid="_x0000_i1054" type="#_x0000_t75" style='width:525pt;
    33043309 height:450pt;visibility:visible;mso-wrap-style:square'>
    3305  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
     3310 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image105.png"
    33063311  o:title=""/>
    33073312</v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600
    3308 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png"
    3309 v:shapes="Picture_x0020_28"><![endif]></span><o:p></o:p></p>
     3313src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image105.png"
     3314v:shapes="Picture_x0020_28"><![endif]></span></p>
    33103315
    33113316<p class=MsoNormal><span class=GramE>and</span> also almost identical to what
     
    33153320 id="Picture_x0020_58" o:spid="_x0000_i1053" type="#_x0000_t75" style='width:502.5pt;
    33163321 height:375pt;visibility:visible;mso-wrap-style:square'>
    3317  <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
     3322 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image106.png"
    33183323  o:title=""/>
    33193324</v:shape><![endif]--><![if !vml]><img border=0 width=670 height=500
    3320 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png"
     3325src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image106.png"
    33213326v:shapes="Picture_x0020_58"><![endif]></span></p>
    33223327
  • Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II_files/filelist.xml

    r1846 r1848  
    1616 <o:File HRef="image011.wmz"/>
    1717 <o:File HRef="image012.wmz"/>
    18  <o:File HRef="image013.wmz"/>
    19  <o:File HRef="image014.png"/>
    20  <o:File HRef="image015.wmz"/>
    21  <o:File HRef="image016.png"/>
    22  <o:File HRef="image017.wmz"/>
    23  <o:File HRef="image018.png"/>
    24  <o:File HRef="image019.wmz"/>
    25  <o:File HRef="image020.png"/>
    26  <o:File HRef="image021.wmz"/>
    27  <o:File HRef="image022.png"/>
    28  <o:File HRef="image023.wmz"/>
    29  <o:File HRef="image024.png"/>
    30  <o:File HRef="image025.wmz"/>
    31  <o:File HRef="image026.png"/>
    32  <o:File HRef="image027.wmz"/>
    33  <o:File HRef="image028.png"/>
    34  <o:File HRef="image029.wmz"/>
    35  <o:File HRef="image030.png"/>
    36  <o:File HRef="image031.wmz"/>
    37  <o:File HRef="image032.png"/>
    38  <o:File HRef="image033.wmz"/>
    39  <o:File HRef="image034.png"/>
    40  <o:File HRef="image035.wmz"/>
    41  <o:File HRef="image036.png"/>
    42  <o:File HRef="image037.wmz"/>
    43  <o:File HRef="image038.png"/>
    44  <o:File HRef="image039.wmz"/>
     18 <o:File HRef="image013.png"/>
     19 <o:File HRef="image014.wmz"/>
     20 <o:File HRef="image015.png"/>
     21 <o:File HRef="image016.wmz"/>
     22 <o:File HRef="image017.png"/>
     23 <o:File HRef="image018.wmz"/>
     24 <o:File HRef="image019.png"/>
     25 <o:File HRef="image020.wmz"/>
     26 <o:File HRef="image021.png"/>
     27 <o:File HRef="image022.wmz"/>
     28 <o:File HRef="image023.png"/>
     29 <o:File HRef="image024.wmz"/>
     30 <o:File HRef="image025.png"/>
     31 <o:File HRef="image026.wmz"/>
     32 <o:File HRef="image027.png"/>
     33 <o:File HRef="image028.wmz"/>
     34 <o:File HRef="image029.png"/>
     35 <o:File HRef="image030.wmz"/>
     36 <o:File HRef="image031.png"/>
     37 <o:File HRef="image032.wmz"/>
     38 <o:File HRef="image033.png"/>
     39 <o:File HRef="image034.wmz"/>
     40 <o:File HRef="image035.png"/>
     41 <o:File HRef="image036.wmz"/>
     42 <o:File HRef="image037.png"/>
     43 <o:File HRef="image038.wmz"/>
     44 <o:File HRef="image039.png"/>
    4545 <o:File HRef="image040.wmz"/>
    46  <o:File HRef="image041.wmz"/>
     46 <o:File HRef="image041.png"/>
    4747 <o:File HRef="image042.wmz"/>
    4848 <o:File HRef="image043.png"/>
    4949 <o:File HRef="image044.wmz"/>
    50  <o:File HRef="image045.png"/>
    51  <o:File HRef="image046.wmz"/>
    52  <o:File HRef="image047.png"/>
    53  <o:File HRef="image048.wmz"/>
    54  <o:File HRef="image049.png"/>
     50 <o:File HRef="image045.wmz"/>
     51 <o:File HRef="image046.png"/>
     52 <o:File HRef="image047.wmz"/>
     53 <o:File HRef="image048.png"/>
     54 <o:File HRef="image049.wmz"/>
    5555 <o:File HRef="image050.png"/>
    56  <o:File HRef="image051.png"/>
     56 <o:File HRef="image051.wmz"/>
    5757 <o:File HRef="image052.png"/>
    5858 <o:File HRef="image053.png"/>
     
    107107 <o:File HRef="image102.png"/>
    108108 <o:File HRef="image103.png"/>
     109 <o:File HRef="image104.png"/>
     110 <o:File HRef="image105.png"/>
     111 <o:File HRef="image106.png"/>
    109112 <o:File HRef="filelist.xml"/>
    110113</xml>
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