Changeset 4945
- Timestamp:
- Jun 8, 2021 9:03:02 PM (20 months ago)
- Location:
- Tutorials/2DTexture
- Files:
-
- 89 added
- 15 edited
Legend:
- Unmodified
- Added
- Removed
-
Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II.htm
r4944 r4945 25 25 <o:Author>Von Dreele</o:Author> 26 26 <o:LastAuthor>Von Dreele, Robert B.</o:LastAuthor> 27 <o:Revision> 7</o:Revision>28 <o:TotalTime>23 65</o:TotalTime>27 <o:Revision>8</o:Revision> 28 <o:TotalTime>2386</o:TotalTime> 29 29 <o:Created>2021-06-08T17:35:00Z</o:Created> 30 <o:LastSaved>2021-06-0 8T22:03:00Z</o:LastSaved>30 <o:LastSaved>2021-06-09T01:57:00Z</o:LastSaved> 31 31 <o:Pages>46</o:Pages> 32 32 <o:Words>4398</o:Words> … … 1549 1549 o:title="" chromakey="white"/> 1550 1550 </v:shape><![endif]--><![if !vml]><img width=357 height=56 1551 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 51.png"1551 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image002.png" 1552 1552 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 1553 1553 … … 1570 1570 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1571 1571 type="#_x0000_t75" style='width:32.25pt;height:26.25pt'> 1572 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 52.png"1572 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image003.png" 1573 1573 o:title="" chromakey="white"/> 1574 1574 </v:shape><![endif]--><![if !vml]><img width=43 height=35 1575 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 53.png"1575 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image004.png" 1576 1576 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 1577 1577 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span … … 1588 1588 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1589 1589 type="#_x0000_t75" style='width:30pt;height:26.25pt'> 1590 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 54.png"1590 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.png" 1591 1591 o:title="" chromakey="white"/> 1592 1592 </v:shape><![endif]--><![if !vml]><img width=40 height=35 1593 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 55.png"1593 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png" 1594 1594 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, take on values according 1595 1595 to the crystal and sample symmetries, respectively, and thus the two inner 1596 summations are over only the resulting unique, nonz <span class=SpellE>ero</span>1597 harmonic terms. These unique terms are automatically selected by <span 1598 style='mso-bidi-font-weight:bold'>GSAS-II</span> according to the space group 1599 s ymmetry and the user chosen sample symmetry. The available sample symmetries1600 are cylindrical symmetry, 2/m, mmm and no symmetry. The choice of sample1601 s ymmetry profoundly affects the selection of harmonic coefficients. For1602 example, in the case of cylindricalsample symmetry (fiber texture) only <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span1596 summations are over only the resulting unique, nonzero harmonic terms. These 1597 unique terms are automatically selected by <span style='mso-bidi-font-weight: 1598 bold'>GSAS-II</span> according to the space group symmetry and the user chosen 1599 sample symmetry. The available sample symmetries are cylindrical symmetry, 2/m, 1600 mmm and no symmetry. The choice of sample symmetry profoundly affects the 1601 selection of harmonic coefficients. For example, in the case of cylindrical 1602 sample symmetry (fiber texture) only <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 1603 1603 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 1604 1604 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: … … 1613 1613 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1614 1614 type="#_x0000_t75" style='width:29.25pt;height:26.25pt'> 1615 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 56.png"1615 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image007.png" 1616 1616 o:title="" chromakey="white"/> 1617 1617 </v:shape><![endif]--><![if !vml]><img width=39 height=35 1618 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 57.png"1618 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image008.png" 1619 1619 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 1620 1620 style='mso-spacerun:yes'> </span>terms are nonzero so the rest are excluded … … 1631 1631 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1632 1632 type="#_x0000_t75" style='width:21pt;height:26.25pt'> 1633 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 58.png"1633 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image009.png" 1634 1634 o:title="" chromakey="white"/> 1635 1635 </v:shape><![endif]--><![if !vml]><img width=28 height=35 1636 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 59.png"1636 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image010.png" 1637 1637 v:shapes="_x0000_i1025"><![endif]></span><![endif]>coefficients is sufficient 1638 1638 to describe the effect on the diffraction patterns due to texture. The crystal … … 1650 1650 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1651 1651 type="#_x0000_t75" style='width:32.25pt;height:26.25pt'> 1652 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 60.png"1652 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image011.png" 1653 1653 o:title="" chromakey="white"/> 1654 1654 </v:shape><![endif]--><![if !vml]><img width=43 height=35 1655 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 61.png"1655 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image012.png" 1656 1656 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, is defined for each 1657 1657 reflection, h, <i>via</i> polar and azimuthal coordinates (<span … … 1676 1676 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1677 1677 type="#_x0000_t75" style='width:30pt;height:26.25pt'> 1678 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 54.png"1678 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image005.png" 1679 1679 o:title="" chromakey="white"/> 1680 1680 </v:shape><![endif]--><![if !vml]><img width=40 height=35 1681 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 55.png"1681 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image006.png" 1682 1682 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, is defined according to 1683 1683 polar and azimuthal coordinates (<span style='font-family:Symbol'>y</span>, <span … … 1751 1751 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 1752 1752 id="_x0000_i1025" type="#_x0000_t75" style='width:320.95pt;height:54pt'> 1753 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 62.png"1753 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png" 1754 1754 o:title="" chromakey="white"/> 1755 1755 </v:shape><![endif]--><![if !vml]><img width=428 height=72 1756 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 63.png"1756 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image014.png" 1757 1757 v:shapes="_x0000_i1025"><![endif]></span><![endif]><br style='mso-special-character: 1758 1758 line-break'> … … 1796 1796 any angular offset in sample mounting. After including the diffraction angle, <span 1797 1797 style='font-family:Symbol'>Q</span>, and a detector azimuthal angle, A, the 1798 full rotation matrix, <b style='mso-bidi-font-weight:normal'>M</b>, is 1799 style='mso-spacerun:yes'> </span></p>1798 full rotation matrix, <b style='mso-bidi-font-weight:normal'>M</b>, is<span 1799 style='mso-spacerun:yes'> </span></p> 1800 1800 1801 1801 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; … … 1833 1833 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1834 1834 type="#_x0000_t75" style='width:33.75pt;height:50.25pt'> 1835 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 64.png"1835 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image015.png" 1836 1836 o:title="" chromakey="white"/> 1837 1837 </v:shape><![endif]--><![if !vml]><img width=45 height=67 1838 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 65.png"1838 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image016.png" 1839 1839 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 1840 1840 style='mso-spacerun:yes'> </span>and<span style='mso-spacerun:yes'> </span><i>tan</i>(<span … … 1870 1870 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1871 1871 type="#_x0000_t75" style='width:80.25pt;height:50.25pt'> 1872 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 66.png"1872 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image017.png" 1873 1873 o:title="" chromakey="white"/> 1874 1874 </v:shape><![endif]--><![if !vml]><img width=107 height=67 1875 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 67.png"1875 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image018.png" 1876 1876 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 1877 1877 … … 1890 1890 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1891 1891 type="#_x0000_t75" style='width:46.5pt;height:26.25pt'> 1892 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 68.png"1892 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image019.png" 1893 1893 o:title="" chromakey="white"/> 1894 1894 </v:shape><![endif]--><![if !vml]><img width=62 height=35 1895 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 69.png"1895 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image020.png" 1896 1896 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 1897 1897 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span … … 1908 1908 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1909 1909 type="#_x0000_t75" style='width:42.75pt;height:26.25pt'> 1910 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 70.png"1910 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image021.png" 1911 1911 o:title="" chromakey="white"/> 1912 1912 </v:shape><![endif]--><![if !vml]><img width=57 height=35 1913 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 71.png"1913 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image022.png" 1914 1914 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, are developed from</p> 1915 1915 … … 1963 1963 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 1964 1964 id="_x0000_i1025" type="#_x0000_t75" style='width:165pt;height:42pt'> 1965 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 72.png"1965 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image023.png" 1966 1966 o:title="" chromakey="white"/> 1967 1967 </v:shape><![endif]--><![if !vml]><img width=220 height=56 1968 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 73.png"1968 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image024.png" 1969 1969 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 1970 1970 … … 1987 1987 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 1988 1988 type="#_x0000_t75" style='width:33pt;height:26.25pt'> 1989 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 74.png"1989 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image025.png" 1990 1990 o:title="" chromakey="white"/> 1991 1991 </v:shape><![endif]--><![if !vml]><img width=44 height=35 1992 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 75.png"1992 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image026.png" 1993 1993 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, are defined via a Fourier 1994 1994 expansion as</p> … … 2039 2039 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 2040 2040 id="_x0000_i1025" type="#_x0000_t75" style='width:154.5pt;height:52.5pt'> 2041 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 76.png"2041 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image027.png" 2042 2042 o:title="" chromakey="white"/> 2043 2043 </v:shape><![endif]--><![if !vml]><img width=206 height=70 2044 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 77.png"2044 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image028.png" 2045 2045 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 2046 2046 … … 2093 2093 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 2094 2094 id="_x0000_i1025" type="#_x0000_t75" style='width:158.25pt;height:52.5pt'> 2095 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 78.png"2095 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image029.png" 2096 2096 o:title="" chromakey="white"/> 2097 2097 </v:shape><![endif]--><![if !vml]><img width=211 height=70 2098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 80.png"2098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image030.png" 2099 2099 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 2100 2100 … … 2115 2115 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2116 2116 type="#_x0000_t75" style='width:24.75pt;height:26.25pt'> 2117 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 82.png"2117 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image031.png" 2118 2118 o:title="" chromakey="white"/> 2119 2119 </v:shape><![endif]--><![if !vml]><img width=33 height=35 2120 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 83.png"2120 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image032.png" 2121 2121 v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span 2122 2122 style='mso-spacerun:yes'> </span>These Fourier coefficients are determined so … … 2242 2242 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 2243 2243 id="_x0000_i1025" type="#_x0000_t75" style='width:423.75pt;height:55.5pt'> 2244 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 84.png"2244 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png" 2245 2245 o:title="" chromakey="white"/> 2246 2246 </v:shape><![endif]--><![if !vml]><img width=565 height=74 2247 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 86.png"2247 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image034.png" 2248 2248 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 2249 2249 … … 2280 2280 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2281 2281 type="#_x0000_t75" style='width:111pt;height:26.25pt'> 2282 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 88.png"2282 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image035.png" 2283 2283 o:title="" chromakey="white"/> 2284 2284 </v:shape><![endif]--><![if !vml]><img width=148 height=35 2285 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 90.png"2285 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image036.png" 2286 2286 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 2287 2287 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:func><m:funcPr><span … … 2315 2315 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2316 2316 type="#_x0000_t75" style='width:100.5pt;height:26.25pt'> 2317 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 92.png"2317 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image037.png" 2318 2318 o:title="" chromakey="white"/> 2319 2319 </v:shape><![endif]--><![if !vml]><img width=134 height=35 2320 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 94.png"2320 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image038.png" 2321 2321 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 2322 2322 style='mso-spacerun:yes'> </span>are combined depending on the symmetry and the 2323 value of m along with appropriate no <span class=SpellE>rmalization</span>2324 coefficients to give theharmonic terms <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span2323 value of m along with appropriate normalization coefficients to give the 2324 harmonic terms <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 2325 2325 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; 2326 2326 mso-hansi-font-family:"Cambria Math";font-style:italic;mso-bidi-font-style: … … 2336 2336 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2337 2337 type="#_x0000_t75" style='width:48pt;height:26.25pt'> 2338 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 96.png"2338 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png" 2339 2339 o:title="" chromakey="white"/> 2340 2340 </v:shape><![endif]--><![if !vml]><img width=64 height=35 2341 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 98.png"2341 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.png" 2342 2342 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 2343 2343 style='mso-spacerun:yes'> </span>and <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span … … 2355 2355 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2356 2356 type="#_x0000_t75" style='width:45pt;height:26.25pt'> 2357 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 100.png"2357 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image041.png" 2358 2358 o:title="" chromakey="white"/> 2359 2359 </v:shape><![endif]--><![if !vml]><img width=60 height=35 2360 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 102.png"2360 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image042.png" 2361 2361 v:shapes="_x0000_i1025"><![endif]></span><![endif]>.<span 2362 2362 style='mso-spacerun:yes'> </span>For cubic crystal symmetry, the term <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span … … 2374 2374 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2375 2375 type="#_x0000_t75" style='width:48pt;height:26.25pt'> 2376 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 96.png"2376 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image039.png" 2377 2377 o:title="" chromakey="white"/> 2378 2378 </v:shape><![endif]--><![if !vml]><img width=64 height=35 2379 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image0 98.png"2379 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image040.png" 2380 2380 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 2381 2381 style='mso-spacerun:yes'> </span>is obtained directly from the Fourier … … 2435 2435 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 2436 2436 id="_x0000_i1025" type="#_x0000_t75" style='width:193.5pt;height:52.5pt'> 2437 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 104.png"2437 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image043.png" 2438 2438 o:title="" chromakey="white"/> 2439 2439 </v:shape><![endif]--><![if !vml]><img width=258 height=70 2440 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 105.png"2440 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image044.png" 2441 2441 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 2442 2442 … … 2454 2454 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2455 2455 type="#_x0000_t75" style='width:22.5pt;height:26.25pt'> 2456 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 106.png"2456 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image045.png" 2457 2457 o:title="" chromakey="white"/> 2458 2458 </v:shape><![endif]--><![if !vml]><img width=30 height=35 2459 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 108.png"2459 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image046.png" 2460 2460 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, as tabulated by Bunge 2461 2461 (1982). </p> … … 2476 2476 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2477 2477 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'> 2478 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 110.png"2478 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png" 2479 2479 o:title="" chromakey="white"/> 2480 2480 </v:shape><![endif]--><![if !vml]><img width=29 height=35 2481 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 112.png"2482 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample 2483 orientationangles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span2481 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png" 2482 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample orientation 2483 angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span 2484 2484 style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family:Symbol'>F</span><sub>s</sub>, 2485 2485 all of which can be adjustable parameters of the refinement. Once the … … 2497 2497 EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape id="_x0000_i1025" 2498 2498 type="#_x0000_t75" style='width:21.75pt;height:26.25pt'> 2499 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 110.png"2499 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image047.png" 2500 2500 o:title="" chromakey="white"/> 2501 2501 </v:shape><![endif]--><![if !vml]><img width=29 height=35 2502 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 112.png"2502 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png" 2503 2503 v:shapes="_x0000_i1025"><![endif]></span><![endif]><span 2504 2504 style='mso-spacerun:yes'> </span>and the sample orientation angles <span … … 2555 2555 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 2556 2556 id="_x0000_i1025" type="#_x0000_t75" style='width:180.75pt;height:54pt'> 2557 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 114.png"2557 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image049.png" 2558 2558 o:title="" chromakey="white"/> 2559 2559 </v:shape><![endif]--><![if !vml]><img width=241 height=72 2560 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 116.png"2560 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image050.png" 2561 2561 v:shapes="_x0000_i1025"><![endif]></span><![endif]></p> 2562 2562 … … 2570 2570 to accommodate the two possible uses of this correction. In one, a suite of 2571 2571 spherical harmonics coefficients is defined for the texture of a phase in the 2572 sample; this can have any of the possible sample symmetries and is the usual 2573 result desired for texture analysis. The other is the suite of spherical 2574 harmonics terms for cylindrical sample symmetry for each phase in each powder 2575 pattern (histogram) and is usually used to accommodate preferred orientation 2576 effects in a Rietveld refinement. The former description allows refinement of 2577 thesample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>,2572 sample; this can have any of the possible sample symmetries and is the usual result 2573 desired for texture analysis. The other is the suite of spherical harmonics 2574 terms for cylindrical sample symmetry for each phase in each powder pattern 2575 (histogram) and is usually used to accommodate preferred orientation effects 2576 in a Rietveld refinement. The former description allows refinement of the 2577 sample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>, 2578 2578 <span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family: 2579 Symbol'>F</span><sub>s</sub>, but the latter description does not (they are 2580 assumedto be zero and not refinable). The sample orientation angles, (<span2579 Symbol'>F</span><sub>s</sub>, but the latter description does not (they are assumed 2580 to be zero and not refinable). The sample orientation angles, (<span 2581 2581 style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, 2582 2582 <span style='font-family:Symbol'>F) </span>are specified in the Sample … … 2651 2651 o:title=""/> 2652 2652 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=389 2653 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 122.png"2653 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png" 2654 2654 v:shapes="Picture_x0020_59"><![endif]></span></p> 2655 2655 … … 2681 2681 o:title=""/> 2682 2682 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=389 2683 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 126.png"2683 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png" 2684 2684 v:shapes="Picture_x0020_60"><![endif]></span></p> 2685 2685 … … 2707 2707 o:title=""/> 2708 2708 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522 2709 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 130.png"2709 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image053.png" 2710 2710 v:shapes="Picture_x0020_61"><![endif]></span></p> 2711 2711 … … 2753 2753 o:spid="_x0000_i1077" type="#_x0000_t75" style='width:468pt;height:391.5pt; 2754 2754 visibility:visible;mso-wrap-style:square'> 2755 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 131.png"2755 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image054.png" 2756 2756 o:title=""/> 2757 2757 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522 2758 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 132.png"2758 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image055.png" 2759 2759 v:shapes="Picture_x0020_62"><![endif]></span></p> 2760 2760 … … 2768 2768 o:spid="_x0000_i1076" type="#_x0000_t75" style='width:468pt;height:291.75pt; 2769 2769 visibility:visible;mso-wrap-style:square'> 2770 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 133.png"2770 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image056.png" 2771 2771 o:title=""/> 2772 2772 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=389 2773 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 134.png"2773 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image057.png" 2774 2774 v:shapes="Picture_x0020_63"><![endif]></span></p> 2775 2775 … … 2788 2788 o:title=""/> 2789 2789 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=191 2790 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 139.png"2790 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image058.png" 2791 2791 v:shapes="Picture_x0020_64"><![endif]></span></p> 2792 2792 … … 2796 2796 threshold</span></b> to <b style='mso-bidi-font-weight:normal'><span 2797 2797 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2798 mso-hansi-theme-font:minor-latin'>2500</span></b>; the image will be redrawn 2799 reflecting this mask. By zooming in you may see isolated red pixels; these are 2800 excluded points. Make sure the diffraction rings do not have any excluded 2801 points. For <span class=GramE>example</span> with the level set to 2200 the 2802 plot shows</p> 2798 mso-hansi-theme-font:minor-latin'>2500</span></b>; the image will be redrawn reflecting 2799 this mask. By zooming in you may see isolated red pixels; these are excluded 2800 points. Make sure the diffraction rings do not have any excluded points. For <span 2801 class=GramE>example</span> with the level set to 2200 the plot shows</p> 2803 2802 2804 2803 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 2806 2805 o:spid="_x0000_i1074" type="#_x0000_t75" style='width:468pt;height:391.5pt; 2807 2806 visibility:visible;mso-wrap-style:square'> 2808 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 141.png"2807 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image059.png" 2809 2808 o:title=""/> 2810 2809 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522 2811 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 143.png"2810 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image060.png" 2812 2811 v:shapes="Picture_x0020_65"><![endif]></span></p> 2813 2812 … … 2831 2830 o:spid="_x0000_i1073" type="#_x0000_t75" style='width:468pt;height:391.5pt; 2832 2831 visibility:visible;mso-wrap-style:square'> 2833 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 145.png"2832 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image061.png" 2834 2833 o:title=""/> 2835 2834 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=522 2836 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 147.png"2835 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image062.png" 2837 2836 v:shapes="Picture_x0020_66"><![endif]></span></p> 2838 2837 … … 2907 2906 o:spid="_x0000_i1072" type="#_x0000_t75" style='width:468pt;height:132pt; 2908 2907 visibility:visible;mso-wrap-style:square'> 2909 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 49.png"2908 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image152.png" 2910 2909 o:title=""/> 2911 2910 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=176 2912 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 151.png"2911 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image063.png" 2913 2912 v:shapes="Picture_x0020_68"><![endif]></span></p> 2914 2913 … … 2923 2922 o:title=""/> 2924 2923 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=176 2925 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 154.png"2924 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image064.png" 2926 2925 v:shapes="Picture_x0020_69"><![endif]></span></p> 2927 2926 … … 2946 2945 o:title=""/> 2947 2946 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=433 2948 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 158.png"2947 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png" 2949 2948 v:shapes="Picture_x0020_70"><![endif]></span></p> 2950 2949 … … 2956 2955 o:spid="_x0000_i1069" type="#_x0000_t75" style='width:468pt;height:341.25pt; 2957 2956 visibility:visible;mso-wrap-style:square'> 2958 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 159.png"2957 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png" 2959 2958 o:title=""/> 2960 2959 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=455 2961 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 160.png"2960 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png" 2962 2961 v:shapes="Picture_x0020_71"><![endif]></span></p> 2963 2962 … … 3031 3030 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 3032 3031 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_72" 3033 o:spid="_x0000_i1068" type="#_x0000_t75" style='width: 468pt;height:270pt;3034 visibility:visible;mso-wrap-style:square'> 3035 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 230.png"3036 o:title=""/> 3037 </v:shape><![endif]--><![if !vml]><img border=0 width= 624height=3603038 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 231.png"3032 o:spid="_x0000_i1068" type="#_x0000_t75" style='width:388.5pt;height:270pt; 3033 visibility:visible;mso-wrap-style:square'> 3034 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image156.png" 3035 o:title=""/> 3036 </v:shape><![endif]--><![if !vml]><img border=0 width=518 height=360 3037 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image067.png" 3039 3038 v:shapes="Picture_x0020_72"><![endif]></span></p> 3040 3039 … … 3069 3068 o:spid="_x0000_i1067" type="#_x0000_t75" style='width:468pt;height:401.25pt; 3070 3069 visibility:visible;mso-wrap-style:square'> 3071 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image2 32.png"3070 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image243.png" 3072 3071 o:title=""/> 3073 3072 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3074 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image2 33.png"3073 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image243.png" 3075 3074 v:shapes="Picture_x0020_73"><![endif]></span></p> 3076 3075 … … 3091 3090 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 3092 3091 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_74" 3093 o:spid="_x0000_i1066" type="#_x0000_t75" style='width: 468pt;height:164.25pt;3094 visibility:visible;mso-wrap-style:square'> 3095 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image2 34.png"3096 o:title=""/> 3097 </v:shape><![endif]--><![if !vml]><img border=0 width= 624height=2193098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 235.png"3092 o:spid="_x0000_i1066" type="#_x0000_t75" style='width:399.75pt;height:164.25pt; 3093 visibility:visible;mso-wrap-style:square'> 3094 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image246.png" 3095 o:title=""/> 3096 </v:shape><![endif]--><![if !vml]><img border=0 width=533 height=219 3097 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image068.png" 3099 3098 v:shapes="Picture_x0020_74"><![endif]></span></p> 3100 3099 … … 3116 3115 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 3117 3116 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_75" 3118 o:spid="_x0000_i1065" type="#_x0000_t75" style='width: 468pt;height:174pt;3119 visibility:visible;mso-wrap-style:square'> 3120 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 236.png"3121 o:title=""/> 3122 </v:shape><![endif]--><![if !vml]><img border=0 width= 624height=2323123 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 237.png"3117 o:spid="_x0000_i1065" type="#_x0000_t75" style='width:358.5pt;height:174pt; 3118 visibility:visible;mso-wrap-style:square'> 3119 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png" 3120 o:title=""/> 3121 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=232 3122 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image070.png" 3124 3123 v:shapes="Picture_x0020_75"><![endif]></span></p> 3125 3124 … … 3136 3135 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 3137 3136 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_76" 3138 o:spid="_x0000_i1064" type="#_x0000_t75" style='width: 467.25pt;height:240.75pt;3139 visibility:visible;mso-wrap-style:square'> 3140 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 238.png"3141 o:title=""/> 3142 </v:shape><![endif]--><![if !vml]><img border=0 width= 623height=3213143 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 239.png"3137 o:spid="_x0000_i1064" type="#_x0000_t75" style='width:330pt;height:240.75pt; 3138 visibility:visible;mso-wrap-style:square'> 3139 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png" 3140 o:title=""/> 3141 </v:shape><![endif]--><![if !vml]><img border=0 width=440 height=321 3142 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image071.png" 3144 3143 v:shapes="Picture_x0020_76"><![endif]></span></p> 3145 3144 … … 3168 3167 o:spid="_x0000_i1063" type="#_x0000_t75" style='width:468pt;height:227.25pt; 3169 3168 visibility:visible;mso-wrap-style:square'> 3170 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 240.png"3169 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png" 3171 3170 o:title=""/> 3172 3171 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=303 3173 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 241.png"3172 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image069.png" 3174 3173 v:shapes="Picture_x0020_77"><![endif]></span></p> 3175 3174 … … 3190 3189 o:spid="_x0000_i1062" type="#_x0000_t75" style='width:468pt;height:270pt; 3191 3190 visibility:visible;mso-wrap-style:square'> 3192 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 230.png"3191 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png" 3193 3192 o:title=""/> 3194 3193 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=360 3195 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 242.png"3194 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image072.png" 3196 3195 v:shapes="Picture_x0020_78"><![endif]></span></p> 3197 3196 … … 3245 3244 o:title=""/> 3246 3245 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3247 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 245.png"3246 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image073.png" 3248 3247 v:shapes="Picture_x0020_80"><![endif]></span></p> 3249 3248 … … 3261 3260 o:title=""/> 3262 3261 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=257 3263 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 247.png"3262 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image074.png" 3264 3263 v:shapes="Picture_x0020_81"><![endif]></span></p> 3265 3264 … … 3277 3276 o:title=""/> 3278 3277 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3279 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 249.png"3278 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image075.png" 3280 3279 v:shapes="Picture_x0020_82"><![endif]></span></p> 3281 3280 … … 3296 3295 o:title=""/> 3297 3296 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3298 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 251.png"3297 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image076.png" 3299 3298 v:shapes="Picture_x0020_83"><![endif]></span></p> 3300 3299 … … 3323 3322 o:title=""/> 3324 3323 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=317 3325 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 253.png"3324 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image077.png" 3326 3325 v:shapes="Picture_x0020_84"><![endif]></span></p> 3327 3326 … … 3336 3335 o:title=""/> 3337 3336 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3338 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 255.png"3337 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image078.png" 3339 3338 v:shapes="Picture_x0020_85"><![endif]></span></p> 3340 3339 … … 3362 3361 o:title=""/> 3363 3362 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3364 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 258.png"3363 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image079.png" 3365 3364 v:shapes="Picture_x0020_87"><![endif]></span></p> 3366 3365 3367 3366 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This completes 3368 the tutorial on Method A for doing texture analysis. It is useful for a case 3369 like this one where there are very few data sets required for the texture 3370 analysis. However, for the case of lower sample symmetry one must several dozen 3371 or even a few hundred histograms and then the suite of parameters can easily be 3372 > 1000 of which only a few dozen describe the texture. This leads to the 3373 next Methodsfor texture analysis in GSAS-II.</p>3367 the tutorial on Method A for doing texture analysis. It is useful for a case like 3368 this one where there are very few data sets required for the texture analysis. 3369 However, for the case of lower sample symmetry one must several dozen or even a 3370 few hundred histograms and then the suite of parameters can easily be > 1000 3371 of which only a few dozen describe the texture. This leads to the next Methods 3372 for texture analysis in GSAS-II.</p> 3374 3373 3375 3374 <h2 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: … … 3381 3380 3382 3381 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This begins 3383 the texture analysis in much the same way as Method A except that all the initial3384 refinements are done sequentially, that is refinements are done for the 3385 parameters associated with each powder pattern to convergence in a serial3382 the texture analysis in much the same way as Method A except that all the 3383 initial refinements are done sequentially, that is refinements are done for 3384 the parameters associated with each powder pattern to convergence in a serial 3386 3385 fashion. In this case where there are 10 PWDR data sets, there will be 10 3387 3386 refinements done in sequence. Parameters that span all the data (e.g. lattice … … 3480 3479 o:title=""/> 3481 3480 </v:shape><![endif]--><![if !vml]><img border=0 width=622 height=191 3482 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 260.png"3481 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image080.png" 3483 3482 v:shapes="Picture_x0020_88"><![endif]></span></p> 3484 3483 … … 3505 3504 o:title=""/> 3506 3505 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=199 3507 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 262.png"3506 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image081.png" 3508 3507 v:shapes="Picture_x0020_89"><![endif]></span></p> 3509 3508 … … 3535 3534 o:title=""/> 3536 3535 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=176 3537 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 264.png"3536 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image082.png" 3538 3537 v:shapes="Picture_x0020_90"><![endif]></span></p> 3539 3538 3540 3539 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>There is a row 3541 for each data set and columns for all refined parameters and some derived ones 3542 along with residual and convergence indicators. The residuals are not very good 3543 (we havent really refined much) but the Δχ<sup>2</sup> column shows 3544 that convergence was achieved (NB: poor convergence will be highlighted in 3545 yellow orred depending on how bad it is).</p>3540 for each data set and columns for all refined parameters and some derived ones along 3541 with residual and convergence indicators. 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v:shapes="Picture_x0020_5"><![endif]></span></p> 3573 3572 … … 3640 3639 o:title=""/> 3641 3640 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=421 3642 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 270.png"3641 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image085.png" 3643 3642 v:shapes="Picture_x0020_93"><![endif]></span></p> 3644 3643 … … 3659 3658 o:title=""/> 3660 3659 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=204 3661 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 272.png"3660 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image086.png" 3662 3661 v:shapes="Picture_x0020_95"><![endif]></span></p> 3663 3662 … … 3673 3672 o:title=""/> 3674 3673 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3675 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 274.png"3674 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image087.png" 3676 3675 v:shapes="Picture_x0020_96"><![endif]></span></p> 3677 3676 … … 3698 3697 o:title=""/> 3699 3698 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=204 3700 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 276.png"3699 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image088.png" 3701 3700 v:shapes="Picture_x0020_97"><![endif]></span></p> 3702 3701 … … 3711 3710 o:title=""/> 3712 3711 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=204 3713 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 278.png"3712 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image089.png" 3714 3713 v:shapes="Picture_x0020_98"><![endif]></span></p> 3715 3714 … … 3725 3724 o:title=""/> 3726 3725 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3727 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 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src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 286.png"3797 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image093.png" 3799 3798 v:shapes="Picture_x0020_102"><![endif]></span></p> 3800 3799 … … 3813 3812 o:title=""/> 3814 3813 </v:shape><![endif]--><![if !vml]><img border=0 width=608 height=219 3815 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 288.png"3814 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image094.png" 3816 3815 v:shapes="Picture_x0020_16"><![endif]></span></p> 3817 3816 … … 3850 3849 be <span class=GramE>repainted</span> and a bullseye pole figure will appear. </p> 3851 3850 3852 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><!--[if gte vml 1]><v:shape 3853 id="Picture_x0020_104" o:spid="_x0000_s1026" type="#_x0000_t75" style='width:468pt; 3854 height:168.75pt;visibility:visible;mso-wrap-style:square;mso-left-percent:-10001; 3851 <p class=MsoNormal 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style='margin-bottom:12.0pt;line-height:115%'>Change the <b … … 3877 3911 o:title=""/> 3878 3912 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3879 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 292.png"3913 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image095.png" 3880 3914 v:shapes="Picture_x0020_105"><![endif]></span></p> 3881 3915 … … 3900 3934 o:title=""/> 3901 3935 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=324 3902 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 294.png"3936 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image096.png" 3903 3937 v:shapes="Picture_x0020_106"><![endif]></span></p> 3904 3938 … … 3913 3947 o:title=""/> 3914 3948 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 3915 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 296.png"3949 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image097.png" 3916 3950 v:shapes="Picture_x0020_107"><![endif]></span></p> 3917 3951 … … 3956 3990 3957 3991 <h3 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: 3958 0in;line-height:115%'>Step 1. Clearing unwanted variables from sequential 3959 refinement</h3> 3992 0in;line-height:115%'>Step 1. Clearing unwanted variables from sequential refinement</h3> 3960 3993 3961 3994 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Here we want … … 4045 4078 Phase/Copy flags</span></b> selecting all data to clear all the flags and an <b 4046 4079 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 4047 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit Phase/Copy4048 selected data</span></b> for <span class=SpellE><b style='mso-bidi-font-weight:4080 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit 4081 Phase/Copy selected data</span></b> for <span class=SpellE><b style='mso-bidi-font-weight: 4049 4082 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 4050 4083 minor-latin;mso-hansi-theme-font:minor-latin'>Pref.Ori</span></b></span> to … … 4073 4106 o:title=""/> 4074 4107 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=236 4075 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 298.png"4108 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image098.png" 4076 4109 v:shapes="Picture_x0020_108"><![endif]></span></p> 4077 4110 … … 4096 4129 o:title=""/> 4097 4130 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=236 4098 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 300.png"4131 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image099.png" 4099 4132 v:shapes="Picture_x0020_109"><![endif]></span></p> 4100 4133 … … 4164 4197 o:title=""/> 4165 4198 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 4166 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 303.png"4199 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image100.png" 4167 4200 v:shapes="Picture_x0020_111"><![endif]></span></p> 4168 4201 4169 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>which is almost4170 identical to that from Method <span class=GramE>A.</span> The coefficients are4171 seen in</p>4202 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>which is 4203 almost identical to that from Method <span class=GramE>A.</span> The 4204 coefficients are seen in</p> 4172 4205 4173 4206 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 4178 4211 o:title=""/> 4179 4212 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=236 4180 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 305.png"4213 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png" 4181 4214 v:shapes="Picture_x0020_112"><![endif]></span></p> 4182 4215 … … 4195 4228 o:title=""/> 4196 4229 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 4197 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 307.png"4230 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png" 4198 4231 v:shapes="Picture_x0020_113"><![endif]></span></p> 4199 4232 … … 4209 4242 o:title=""/> 4210 4243 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=323 4211 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 309.png"4244 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png" 4212 4245 v:shapes="Picture_x0020_114"><![endif]></span></p> 4213 4246 -
Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II_files/filelist.xml
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<o:File HRef="image056.png"/> 12 65 <o:File HRef="image057.png"/> 66 <o:File HRef="image136.png"/> 13 67 <o:File HRef="image058.png"/> 14 68 <o:File HRef="image059.png"/> … … 16 70 <o:File HRef="image061.png"/> 17 71 <o:File HRef="image062.png"/> 72 <o:File HRef="image152.png"/> 18 73 <o:File HRef="image063.png"/> 19 74 <o:File HRef="image064.png"/> 75 <o:File HRef="image156.png"/> 20 76 <o:File HRef="image065.png"/> 21 77 <o:File HRef="image066.png"/> 22 78 <o:File HRef="image067.png"/> 79 <o:File HRef="image243.png"/> 80 <o:File HRef="image246.png"/> 23 81 <o:File HRef="image068.png"/> 24 82 <o:File HRef="image069.png"/> … … 26 84 <o:File HRef="image071.png"/> 27 85 <o:File HRef="image072.png"/> 86 <o:File HRef="image244.png"/> 28 87 <o:File HRef="image073.png"/> 29 88 <o:File HRef="image074.png"/> 89 <o:File HRef="image248.png"/> 30 90 <o:File HRef="image075.png"/> 91 <o:File HRef="image250.png"/> 31 92 <o:File HRef="image076.png"/> 93 <o:File HRef="image252.png"/> 32 94 <o:File 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156 146 <o:File HRef="image306.png"/> 157 <o:File HRef="image 307.png"/>147 <o:File HRef="image102.png"/> 158 148 <o:File HRef="image308.png"/> 159 <o:File HRef="image 309.png"/>149 <o:File HRef="image103.png"/> 160 150 <o:File HRef="filelist.xml"/> 161 151 </xml>
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