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Aug 2, 2018 3:34:21 PM (5 years ago)
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vondreele
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  • Tutorials/TOF Sequential Single Peak Fit/TOF Sequential Single Peak Fit.htm

    r3476 r3547  
    2525  <o:Author>Von Dreele</o:Author>
    2626  <o:LastAuthor>vondreele</o:LastAuthor>
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    12721195
    12731196<p class=MsoNormal>A common analysis of diffraction data obtained from a
    1274 polycrystalline sample subjected to a changing uniaxial load is to follow the
    1275 behavior of fitted single peaks. The data sets considered here were obtained on
    1276 the Vulcan diffractometer at SNS, Oak Ridge National Laboratory. The layout of
    1277 the instrument</p>
     1197polycrystalline sample subjected to a changing uniaxial load is to follow the behavior
     1198of fitted single peaks. The data sets considered here were obtained on the
     1199Vulcan diffractometer at SNS, Oak Ridge National Laboratory. The layout of the
     1200instrument</p>
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     1389     text1;mso-font-kerning:12.0pt'> Detector<span
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    14631391     </div>
    14641392     <![if !mso]></td>
     
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     1432     text1;mso-font-kerning:12.0pt'> Detector<span
     1433     style='mso-spacerun:yes'>     </span><span
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    15071436     <![if !mso]></td>
     
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    1540      color:black;mso-themecolor:text1;mso-font-kerning:12.0pt'>Neutron beam</span><o:p></o:p></p>
     1469     color:black;mso-themecolor:text1;mso-font-kerning:12.0pt'>Neutron beam</span></p>
    15411470     </div>
    15421471     <![if !mso]></td>
     
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     1504     color:black;mso-themecolor:text1;mso-font-kerning:12.0pt'>Load</span></p>
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     1539     color:black;mso-themecolor:text1;mso-font-kerning:12.0pt'>Load</span></p>
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    17211650
    1722 <p class=MsoNormal><span class=GramE>has</span> panels of detectors on both sides
    1723 of the sample (in this case a Œ” stainless steel rod) oriented so that the
    1724 loading axis is 45° to the incident neutron beam. Thus one detector “Bank 1” only
    1725 views crystallites with diffraction vectors parallel to the loading direction
    1726 while the other “Bank 2” only views crystallites with diffraction vectors perpendicular
    1727 to the load. In such an experiment, as the load is increased (as a tension) we
    1728 would expect that the reflections would shift to higher d-<span class=SpellE>spacings</span>
    1729 in Bank 1 and those seen in Bank 2 would shift to smaller d-<span class=SpellE>spacings</span>.
    1730 If the load is a compression, then the responses in the reflection positions
    1731 would be reversed. The shift records the response “strain” of the crystal lattice
    1732 to the load “stress”. The particular experiment done here was to subject the
    1733 steel rod to ten tension/compression cycles over 13 hours recording a
    1734 diffraction pattern from the two detectors each minute yielding ~800 data sets.
    1735 The 1<sup>st</sup> loading cycle was done slowly over ~4.5hrs and the remaining
    1736 ones done ~1hr each; we will focus on just the 1<sup>st</sup> cycle for this
    1737 tutorial comprising 61 powder patterns. Note that menu entries and user input
    1738 are shown in bold face below as <b style='mso-bidi-font-weight:normal'><span
     1651<p class=MsoNormal><span class=GramE>has</span> panels of detectors on both
     1652sides of the sample (in this case a Œ” stainless steel rod) oriented so that
     1653the loading axis is 45° to the incident neutron beam. Thus one detector “Bank
     16541” only views crystallites with diffraction vectors parallel to the loading
     1655direction while the other “Bank 2” only views crystallites with diffraction
     1656vectors perpendicular to the load. In such an experiment, as the load is
     1657increased (as a tension) we would expect that the reflections would shift to
     1658higher d-<span class=SpellE>spacings</span> in Bank 1 and those seen in Bank 2
     1659would shift to smaller d-<span class=SpellE>spacings</span>. If the load is a
     1660compression, then the responses in the reflection positions would be reversed.
     1661The shift records the response “strain” of the crystal lattice to the load
     1662“stress”. The particular experiment done here was to subject the steel rod to
     1663ten tension/compression cycles over 13 hours recording a diffraction pattern
     1664from the two detectors each minute yielding ~800 data sets. The 1<sup>st</sup>
     1665loading cycle was done slowly over ~4.5hrs and the remaining ones done ~1hr
     1666each; we will focus on just the 1<sup>st</sup> cycle for this tutorial
     1667comprising 61 powder patterns. Note that menu entries and user input are shown
     1668in bold face below as <b style='mso-bidi-font-weight:normal'><span
    17391669style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    17401670mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Help/About
     
    17451675(here <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
    17461676mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
    1747 minor-latin'>About GSAS-II</span></b>).<o:p></o:p></p>
     1677minor-latin'>About GSAS-II</span></b>).</p>
    17481678
    17491679<p class=MsoNormal>If you have not done so already, <u><span style='color:#0070C0'><a
     
    17551685<p class=MsoNormal>Use the <b style='mso-bidi-font-weight:normal'>Import/Powder
    17561686data/from GSAS powder data file</b> menu item to read the data file into the
    1757 current GSAS-II project. <o:p></o:p></p>
    1758 
    1759 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><o:p></o:p></p>
     1687current GSAS-II project. </p>
     1688
     1689<p class=MsoNormal><span style='mso-spacerun:yes'> </span></p>
    17601690
    17611691<p class=MsoNormal>A file selection dialog will be shown; its appearance will
     
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    17731703 height:227.25pt;visibility:visible;mso-wrap-style:square'>
    1774  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image003.png"
     1704 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image002.png"
    17751705  o:title=""/>
    17761706</v:shape><![endif]--><![if !vml]><img border=0 width=235 height=303
    1777 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image029.gif" v:shapes="Picture_x0020_14"><![endif]></span></p>
     1707src="TOF%20Sequential%20Single%20Peak%20Fit_files/image003.gif" v:shapes="Picture_x0020_14"><![endif]></span></p>
    17781708
    17791709<p class=MsoNormal>Select just <b style='mso-bidi-font-weight:normal'><span
     
    17891719 id="Picture_x0020_15" o:spid="_x0000_i1058" type="#_x0000_t75" style='width:466.5pt;
    17901720 height:174pt;visibility:visible;mso-wrap-style:square'>
    1791  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image005.png"
     1721 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image004.png"
    17921722  o:title=""/>
    17931723</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=232
    1794 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image030.gif" v:shapes="Picture_x0020_15"><![endif]></span></p>
     1724src="TOF%20Sequential%20Single%20Peak%20Fit_files/image005.gif" v:shapes="Picture_x0020_15"><![endif]></span></p>
    17951725
    17961726<p class=MsoNormal><span class=GramE>and</span> show the powder pattern</p>
     
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    18001730 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    1801  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image007.png"
     1731 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image006.png"
    18021732  o:title=""/>
    18031733</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    1804 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image031.gif" v:shapes="Picture_x0020_16"><![endif]></span></p>
     1734src="TOF%20Sequential%20Single%20Peak%20Fit_files/image007.gif" v:shapes="Picture_x0020_16"><![endif]></span></p>
    18051735
    18061736<p class=MsoNormal>You may start here but it is slightly better to start with
     
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    1820  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image009.png"
     1750 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image008.png"
    18211751  o:title=""/>
    18221752</v:shape><![endif]--><![if !vml]><img border=0 width=623 height=339
    1823 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image032.gif" v:shapes="Picture_x0020_17"><![endif]></span></p>
     1753src="TOF%20Sequential%20Single%20Peak%20Fit_files/image009.gif" v:shapes="Picture_x0020_17"><![endif]></span></p>
    18241754
    18251755<p class=MsoNormal>The plot shows the current limits as vertical green &amp;
     
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    18301760 height:333pt;visibility:visible;mso-wrap-style:square'>
    1831  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image011.png"
     1761 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image010.png"
    18321762  o:title=""/>
    18331763</v:shape><![endif]--><![if !vml]><img border=0 width=623 height=444
    1834 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image033.gif" v:shapes="Picture_x0020_18"><![endif]></span><o:p></o:p></p>
     1764src="TOF%20Sequential%20Single%20Peak%20Fit_files/image011.gif" v:shapes="Picture_x0020_18"><![endif]></span></p>
    18351765
    18361766<p class=MsoNormal>Set the <span class=SpellE><b style='mso-bidi-font-weight:
     
    18501780 id="Picture_x0020_19" o:spid="_x0000_i1054" type="#_x0000_t75" style='width:467.25pt;
    18511781 height:254.25pt;visibility:visible;mso-wrap-style:square'>
    1852  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image013.png"
     1782 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image012.png"
    18531783  o:title=""/>
    18541784</v:shape><![endif]--><![if !vml]><img border=0 width=623 height=339
    1855 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image034.gif" v:shapes="Picture_x0020_19"><![endif]></span></p>
     1785src="TOF%20Sequential%20Single%20Peak%20Fit_files/image013.gif" v:shapes="Picture_x0020_19"><![endif]></span></p>
    18561786
    18571787<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    18581788 id="Picture_x0020_20" o:spid="_x0000_i1053" type="#_x0000_t75" style='width:466.5pt;
    18591789 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    1860  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image015.png"
     1790 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image014.png"
    18611791  o:title=""/>
    18621792</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    1863 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image035.gif" v:shapes="Picture_x0020_20"><![endif]></span></p>
     1793src="TOF%20Sequential%20Single%20Peak%20Fit_files/image015.gif" v:shapes="Picture_x0020_20"><![endif]></span></p>
    18641794
    18651795<p class=MsoNormal>Next copy these limits to the other PWDR data sets; do <b
     
    18711801 id="Picture_x0020_21" o:spid="_x0000_i1052" type="#_x0000_t75" style='width:189.75pt;
    18721802 height:316.5pt;visibility:visible;mso-wrap-style:square'>
    1873  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image017.png"
     1803 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image016.png"
    18741804  o:title=""/>
    18751805</v:shape><![endif]--><![if !vml]><img border=0 width=253 height=422
    1876 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image036.gif" v:shapes="Picture_x0020_21"><![endif]></span></p>
     1806src="TOF%20Sequential%20Single%20Peak%20Fit_files/image017.gif" v:shapes="Picture_x0020_21"><![endif]></span></p>
    18771807
    18781808<p class=MsoNormal>Do <b style='mso-bidi-font-weight:normal'><span
     
    18981828 id="Picture_x0020_23" o:spid="_x0000_i1051" type="#_x0000_t75" style='width:466.5pt;
    18991829 height:254.25pt;visibility:visible;mso-wrap-style:square'>
    1900  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image019.png"
     1830 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image018.png"
    19011831  o:title=""/>
    19021832</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=339
    1903 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image037.gif" v:shapes="Picture_x0020_23"><![endif]></span></p>
     1833src="TOF%20Sequential%20Single%20Peak%20Fit_files/image019.gif" v:shapes="Picture_x0020_23"><![endif]></span></p>
    19041834
    19051835<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    19061836 id="Picture_x0020_24" o:spid="_x0000_i1050" type="#_x0000_t75" style='width:466.5pt;
    19071837 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    1908  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image021.png"
     1838 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image020.png"
    19091839  o:title=""/>
    19101840</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    1911 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image038.gif" v:shapes="Picture_x0020_24"><![endif]></span></p>
     1841src="TOF%20Sequential%20Single%20Peak%20Fit_files/image021.gif" v:shapes="Picture_x0020_24"><![endif]></span></p>
    19121842
    19131843<p class=MsoNormal>Next do <b style='mso-bidi-font-weight:normal'><span
     
    19261856 id="Picture_x0020_25" o:spid="_x0000_i1049" type="#_x0000_t75" style='width:466.5pt;
    19271857 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    1928  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image023.png"
     1858 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image022.png"
    19291859  o:title=""/>
    19301860</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    1931 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image039.gif" v:shapes="Picture_x0020_25"><![endif]></span></p>
     1861src="TOF%20Sequential%20Single%20Peak%20Fit_files/image023.gif" v:shapes="Picture_x0020_25"><![endif]></span></p>
    19321862
    19331863<p class=MsoNormal><span class=GramE>and</span> shows the need for further
     
    19481878 id="Picture_x0020_26" o:spid="_x0000_i1048" type="#_x0000_t75" style='width:466.5pt;
    19491879 height:168pt;visibility:visible;mso-wrap-style:square'>
    1950  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image025.png"
     1880 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image024.png"
    19511881  o:title=""/>
    19521882</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=224
    1953 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image040.gif" v:shapes="Picture_x0020_26"><![endif]></span></p>
     1883src="TOF%20Sequential%20Single%20Peak%20Fit_files/image025.gif" v:shapes="Picture_x0020_26"><![endif]></span></p>
    19541884
    19551885<p class=MsoNormal><span class=GramE>with</span> check marks in three columns.
     
    19621892 id="Picture_x0020_28" o:spid="_x0000_i1047" type="#_x0000_t75" style='width:466.5pt;
    19631893 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    1964  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image027.png"
     1894 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image026.png"
    19651895  o:title=""/>
    19661896</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    1967 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image041.gif" v:shapes="Picture_x0020_28"><![endif]></span></p>
     1897src="TOF%20Sequential%20Single%20Peak%20Fit_files/image027.gif" v:shapes="Picture_x0020_28"><![endif]></span></p>
    19681898
    19691899<p class=MsoNormal>I’ve pressed both ‘<b style='mso-bidi-font-weight:normal'><span
     
    19991929 id="Picture_x0020_29" o:spid="_x0000_i1046" type="#_x0000_t75" style='width:189.75pt;
    20001930 height:339pt;visibility:visible;mso-wrap-style:square'>
    2001  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image042.png"
     1931 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image028.png"
    20021932  o:title=""/>
    20031933</v:shape><![endif]--><![if !vml]><img border=0 width=253 height=452
    2004 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image043.gif" v:shapes="Picture_x0020_29"><![endif]></span></p>
     1934src="TOF%20Sequential%20Single%20Peak%20Fit_files/image029.gif" v:shapes="Picture_x0020_29"><![endif]></span></p>
    20051935
    20061936<p class=MsoNormal>Notice this one does offer the possibility of doing the fit
     
    20191949 id="Picture_x0020_30" o:spid="_x0000_i1045" type="#_x0000_t75" style='width:472.5pt;
    20201950 height:166.5pt;visibility:visible;mso-wrap-style:square'>
    2021  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image044.png"
     1951 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image030.png"
    20221952  o:title=""/>
    20231953</v:shape><![endif]--><![if !vml]><img border=0 width=630 height=222
    2024 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image045.gif" v:shapes="Picture_x0020_30"><![endif]></span></p>
     1954src="TOF%20Sequential%20Single%20Peak%20Fit_files/image031.gif" v:shapes="Picture_x0020_30"><![endif]></span></p>
    20251955
    20261956<p class=MsoNormal>The table is quite large with &gt;30 columns and 61 rows so
    2027 I’ve shown only a bit of it. If you select a row, the plot will show the corresponding
    2028 PWDR plot and fit; this is the same as selecting a PWDR entry in the main data
    2029 tree (this will respond to arrow keys to step from one PWDR entry to the next
    2030 and show the corresponding plot). For your first view of the sequential result
    2031 double click on the <b style='mso-bidi-font-weight:normal'><span
     1957I’ve shown only a bit of it. If you select a row, the plot will show the
     1958corresponding PWDR plot and fit; this is the same as selecting a PWDR entry in
     1959the main data tree (this will respond to arrow keys to step from one PWDR entry
     1960to the next and show the corresponding plot). For your first view of the sequential
     1961result double click on the <b style='mso-bidi-font-weight:normal'><span
    20321962style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin;
    20331963mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>pos0</span></b>
     
    20381968 id="Picture_x0020_31" o:spid="_x0000_i1044" type="#_x0000_t75" style='width:471.75pt;
    20391969 height:336pt;visibility:visible;mso-wrap-style:square'>
    2040  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image046.png"
     1970 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image032.png"
    20411971  o:title=""/>
    20421972</v:shape><![endif]--><![if !vml]><img border=0 width=629 height=448
    2043 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image047.gif" v:shapes="Picture_x0020_31"><![endif]></span></p>
     1973src="TOF%20Sequential%20Single%20Peak%20Fit_files/image033.gif" v:shapes="Picture_x0020_31"><![endif]></span></p>
    20441974
    20451975<p class=MsoNormal>This shows the result of a loading/unloading cycle
     
    20601990 id="Picture_x0020_33" o:spid="_x0000_i1043" type="#_x0000_t75" style='width:445.5pt;
    20611991 height:395.25pt;visibility:visible;mso-wrap-style:square'>
    2062  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image051.png"
     1992 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image034.png"
    20631993  o:title=""/>
    20641994</v:shape><![endif]--><![if !vml]><img border=0 width=594 height=527
    2065 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image066.gif" v:shapes="Picture_x0020_33"><![endif]></span></p>
     1995src="TOF%20Sequential%20Single%20Peak%20Fit_files/image035.gif" v:shapes="Picture_x0020_33"><![endif]></span></p>
    20661996
    20671997<p class=MsoNormal>Notice there is an entry at the bottom of the table for <b
     
    20822012 id="Picture_x0020_34" o:spid="_x0000_i1042" type="#_x0000_t75" style='width:469.5pt;
    20832013 height:321.75pt;visibility:visible;mso-wrap-style:square'>
    2084  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image053.png"
     2014 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image036.png"
    20852015  o:title=""/>
    20862016</v:shape><![endif]--><![if !vml]><img border=0 width=626 height=429
    2087 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image067.gif" v:shapes="Picture_x0020_34"><![endif]></span><o:p></o:p></p>
     2017src="TOF%20Sequential%20Single%20Peak%20Fit_files/image037.gif" v:shapes="Picture_x0020_34"><![endif]></span></p>
    20882018
    20892019<p class=MsoNormal>Looking over the column headings, one is marked “stress” and
    20902020another is marked “force”. Their ratio is presumably the cross-section area of
    2091 the steel rod (in mm<sup>2</sup>). So (counting from zero) the column we want
    2092 for <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
     2021the steel rod (in mm<sup>2</sup>). So (counting from zero) the column we want for
     2022<b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
    20932023mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
    20942024minor-latin'>Applied loa</span></b>d is Column #6 (1<sup>st</sup> value
     
    21012031 id="Picture_x0020_35" o:spid="_x0000_i1041" type="#_x0000_t75" style='width:427.5pt;
    21022032 height:293.25pt;visibility:visible;mso-wrap-style:square'>
    2103  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image055.png"
     2033 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image038.png"
    21042034  o:title=""/>
    21052035</v:shape><![endif]--><![if !vml]><img border=0 width=570 height=391
    2106 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image068.gif" v:shapes="Picture_x0020_35"><![endif]></span></p>
     2036src="TOF%20Sequential%20Single%20Peak%20Fit_files/image039.gif" v:shapes="Picture_x0020_35"><![endif]></span></p>
    21072037
    21082038<p class=MsoNormal>Notice you can apply conversion factors to the column of
     
    21262056 id="Picture_x0020_36" o:spid="_x0000_i1040" type="#_x0000_t75" style='width:426.75pt;
    21272057 height:198.75pt;visibility:visible;mso-wrap-style:square'>
    2128  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image057.png"
     2058 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image040.png"
    21292059  o:title=""/>
    21302060</v:shape><![endif]--><![if !vml]><img border=0 width=569 height=265
    2131 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image069.gif" v:shapes="Picture_x0020_36"><![endif]></span></p>
     2061src="TOF%20Sequential%20Single%20Peak%20Fit_files/image041.gif" v:shapes="Picture_x0020_36"><![endif]></span></p>
    21322062
    21332063<p class=MsoNormal>Applied load is a new column entry in the table; double
     
    21392069 id="Picture_x0020_37" o:spid="_x0000_i1039" type="#_x0000_t75" style='width:471pt;
    21402070 height:335.25pt;visibility:visible;mso-wrap-style:square'>
    2141  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image046.png"
     2071 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image032.png"
    21422072  o:title=""/>
    21432073</v:shape><![endif]--><![if !vml]><img border=0 width=628 height=447
    2144 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image070.gif" v:shapes="Picture_x0020_37"><![endif]></span></p>
    2145 
    2146 <p class=MsoNormal><span class=GramE>which</span> is unchanged from before.
    2147 Place the cursor anywhere on the plot (i.e. select it) and press <span
    2148 class=GramE>the ‘<b style='mso-bidi-font-weight:normal'><span style='font-family:
    2149 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:
    2150 minor-latin;mso-bidi-theme-font:minor-latin'>s</span></b>’</span> key; a popup
    2151 dialog will appear.</p>
     2074src="TOF%20Sequential%20Single%20Peak%20Fit_files/image042.gif" v:shapes="Picture_x0020_37"><![endif]></span></p>
     2075
     2076<p class=MsoNormal><span class=GramE>which</span> is unchanged from before. Place
     2077the cursor anywhere on the plot (i.e. select it) and press <span class=GramE>the
     2078‘<b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;
     2079mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:
     2080minor-latin'>s</span></b>’</span> key; a popup dialog will appear.</p>
    21522081
    21532082<p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    21542083 id="Picture_x0020_39" o:spid="_x0000_i1038" type="#_x0000_t75" style='width:240pt;
    21552084 height:232.5pt;visibility:visible;mso-wrap-style:square'>
    2156  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image060.png"
     2085 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image043.png"
    21572086  o:title=""/>
    21582087</v:shape><![endif]--><![if !vml]><img border=0 width=320 height=310
    2159 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image071.gif" v:shapes="Picture_x0020_39"><![endif]></span></p>
     2088src="TOF%20Sequential%20Single%20Peak%20Fit_files/image044.gif" v:shapes="Picture_x0020_39"><![endif]></span></p>
    21602089
    21612090<p class=MsoNormal>Select <span class=GramE><b style='mso-bidi-font-weight:
     
    21752104 id="Picture_x0020_40" o:spid="_x0000_i1037" type="#_x0000_t75" style='width:466.5pt;
    21762105 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    2177  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image062.png"
     2106 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image045.png"
    21782107  o:title=""/>
    21792108</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    2180 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image072.gif" v:shapes="Picture_x0020_40"><![endif]></span></p>
     2109src="TOF%20Sequential%20Single%20Peak%20Fit_files/image046.gif" v:shapes="Picture_x0020_40"><![endif]><!--[if gte vml 1]><v:shape
     2110 id="Picture_x0020_41" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:464.25pt;
     2111 height:330pt;visibility:visible;mso-wrap-style:square'>
     2112 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image047.png"
     2113  o:title=""/>
     2114</v:shape><![endif]--><![if !vml]><img border=0 width=619 height=440
     2115src="TOF%20Sequential%20Single%20Peak%20Fit_files/image048.gif" v:shapes="Picture_x0020_41"><![endif]></span></p>
    21812116
    21822117<p class=MsoNormal>This shows the perfectly linear response of peak position
     
    21862121parameter; the plot will change</p>
    21872122
    2188 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape
    2189  id="Picture_x0020_41" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:464.25pt;
    2190  height:330pt;visibility:visible;mso-wrap-style:square'>
    2191  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image064.png"
    2192   o:title=""/>
    2193 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=440
    2194 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image073.gif" v:shapes="Picture_x0020_41"><![endif]></span></p>
     2123<p class=MsoNormal><o:p>&nbsp;</o:p></p>
    21952124
    21962125<p class=MsoNormal>Pos1 shows hysteresis in a load/unload cycle; some of other
     
    22162145 o:spid="_x0000_i1035" type="#_x0000_t75" style='width:466.5pt;height:331.5pt;
    22172146 visibility:visible;mso-wrap-style:square'>
    2218  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image062.png"
     2147 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image045.png"
    22192148  o:title=""/>
    22202149</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    2221 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image095.gif" v:shapes="Picture_x0020_42"><![endif]></span></p>
     2150src="TOF%20Sequential%20Single%20Peak%20Fit_files/image049.gif" v:shapes="Picture_x0020_42"><![endif]></span></p>
    22222151
    22232152<p class=MsoNormal>Using the cursor, find the zero load point on the curve and
     
    22332162 id="Picture_x0020_46" o:spid="_x0000_i1034" type="#_x0000_t75" style='width:465pt;
    22342163 height:255pt;visibility:visible;mso-wrap-style:square'>
    2235  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image075.png"
     2164 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image050.png"
    22362165  o:title=""/>
    22372166</v:shape><![endif]--><![if !vml]><img border=0 width=620 height=340
    2238 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image096.gif" v:shapes="Picture_x0020_46"><![endif]></span></p>
     2167src="TOF%20Sequential%20Single%20Peak%20Fit_files/image051.gif" v:shapes="Picture_x0020_46"><![endif]></span></p>
    22392168
    22402169<p class=MsoNormal>Enter <b style='mso-bidi-font-weight:normal'><span
     
    22462175 id="Picture_x0020_47" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:465pt;
    22472176 height:255pt;visibility:visible;mso-wrap-style:square'>
    2248  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image077.png"
     2177 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image052.png"
    22492178  o:title=""/>
    22502179</v:shape><![endif]--><![if !vml]><img border=0 width=620 height=340
    2251 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image097.gif" v:shapes="Picture_x0020_47"><![endif]></span></p>
     2180src="TOF%20Sequential%20Single%20Peak%20Fit_files/image053.gif" v:shapes="Picture_x0020_47"><![endif]></span></p>
    22522181
    22532182<p class=MsoNormal>Select ‘<b style='mso-bidi-font-weight:normal'><span
     
    22672196 id="Picture_x0020_48" o:spid="_x0000_i1032" type="#_x0000_t75" style='width:465pt;
    22682197 height:255pt;visibility:visible;mso-wrap-style:square'>
    2269  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image079.png"
     2198 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image054.png"
    22702199  o:title=""/>
    22712200</v:shape><![endif]--><![if !vml]><img border=0 width=620 height=340
    2272 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image098.gif" v:shapes="Picture_x0020_48"><![endif]></span></p>
     2201src="TOF%20Sequential%20Single%20Peak%20Fit_files/image055.gif" v:shapes="Picture_x0020_48"><![endif]></span></p>
    22732202
    22742203<p class=MsoNormal>All looks properly filled in so press <b style='mso-bidi-font-weight:
     
    22812210 id="Picture_x0020_49" o:spid="_x0000_i1031" type="#_x0000_t75" style='width:466.5pt;
    22822211 height:192.75pt;visibility:visible;mso-wrap-style:square'>
    2283  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image081.png"
     2212 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image056.png"
    22842213  o:title=""/>
    22852214</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=257
    2286 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image099.gif" v:shapes="Picture_x0020_49"><![endif]></span></p>
     2215src="TOF%20Sequential%20Single%20Peak%20Fit_files/image057.gif" v:shapes="Picture_x0020_49"><![endif]></span></p>
    22872216
    22882217<p class=MsoNormal>Click on that column heading to see its plot vs load</p>
     
    22912220 id="Picture_x0020_50" o:spid="_x0000_i1030" type="#_x0000_t75" style='width:466.5pt;
    22922221 height:331.5pt;visibility:visible;mso-wrap-style:square'>
    2293  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image083.png"
     2222 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image058.png"
    22942223  o:title=""/>
    22952224</v:shape><![endif]--><![if !vml]><img border=0 width=622 height=442
    2296 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image100.gif" v:shapes="Picture_x0020_50"><![endif]></span></p>
     2225src="TOF%20Sequential%20Single%20Peak%20Fit_files/image059.gif" v:shapes="Picture_x0020_50"><![endif]></span></p>
    22972226
    22982227<p class=MsoNormal>This is what we want to fit to get the <span class=SpellE>Hookes</span>
     
    23052234 id="Picture_x0020_51" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:465pt;
    23062235 height:255pt;visibility:visible;mso-wrap-style:square'>
    2307  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image085.png"
     2236 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image060.png"
    23082237  o:title=""/>
    23092238</v:shape><![endif]--><![if !vml]><img border=0 width=620 height=340
    2310 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image101.gif" v:shapes="Picture_x0020_51"><![endif]></span></p>
     2239src="TOF%20Sequential%20Single%20Peak%20Fit_files/image061.gif" v:shapes="Picture_x0020_51"><![endif]></span></p>
    23112240
    23122241<p class=MsoNormal>Select <b style='mso-bidi-font-weight:normal'><span
     
    23262255 id="Picture_x0020_52" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:465pt;
    23272256 height:255pt;visibility:visible;mso-wrap-style:square'>
    2328  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image087.png"
     2257 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image062.png"
    23292258  o:title=""/>
    23302259</v:shape><![endif]--><![if !vml]><img border=0 width=620 height=340
    2331 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image102.gif" v:shapes="Picture_x0020_52"><![endif]></span></p>
     2260src="TOF%20Sequential%20Single%20Peak%20Fit_files/image063.gif" v:shapes="Picture_x0020_52"><![endif]></span></p>
    23322261
    23332262<p class=MsoNormal>For the three pull downs, <b style='mso-bidi-font-weight:
     
    23542283 id="Picture_x0020_53" o:spid="_x0000_i1027" type="#_x0000_t75" style='width:465pt;
    23552284 height:255pt;visibility:visible;mso-wrap-style:square'>
    2356  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image089.png"
     2285 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image064.png"
    23572286  o:title=""/>
    23582287</v:shape><![endif]--><![if !vml]><img border=0 width=620 height=340
    2359 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image103.gif" v:shapes="Picture_x0020_53"><![endif]></span></p>
     2288src="TOF%20Sequential%20Single%20Peak%20Fit_files/image065.gif" v:shapes="Picture_x0020_53"><![endif]></span></p>
    23602289
    23612290<p class=MsoNormal>Press <span class=GramE><b style='mso-bidi-font-weight:normal'><span
     
    23702299 id="Picture_x0020_54" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:243.75pt;
    23712300 height:120.75pt;visibility:visible;mso-wrap-style:square'>
    2372  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image091.png"
     2301 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image066.png"
    23732302  o:title=""/>
    23742303</v:shape><![endif]--><![if !vml]><img border=0 width=325 height=161
    2375 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image104.gif" v:shapes="Picture_x0020_54"><![endif]></span></p>
     2304src="TOF%20Sequential%20Single%20Peak%20Fit_files/image067.gif" v:shapes="Picture_x0020_54"><![endif]></span></p>
    23762305
    23772306<p class=MsoNormal>And the plot will show the best fit line in red; it nicely
     
    23812310 id="Picture_x0020_55" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:469.5pt;
    23822311 height:334.5pt;visibility:visible;mso-wrap-style:square'>
    2383  <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image093.png"
     2312 <v:imagedata src="TOF%20Sequential%20Single%20Peak%20Fit_files/image068.png"
    23842313  o:title=""/>
    23852314</v:shape><![endif]--><![if !vml]><img border=0 width=626 height=446
    2386 src="TOF%20Sequential%20Single%20Peak%20Fit_files/image105.gif" v:shapes="Picture_x0020_55"><![endif]></span></p>
     2315src="TOF%20Sequential%20Single%20Peak%20Fit_files/image069.gif" v:shapes="Picture_x0020_55"><![endif]></span></p>
    23872316
    23882317<p class=MsoNormal>The resulting <span class=SpellE>Hookes</span> Law
    2389 coefficient is 40.38(13<span class=GramE>)x10</span><sup>-6 </sup>MN for this
    2390 reflection (austenite 111).<span style='mso-spacerun:yes'>  </span>This end the
    2391 tutorial; save the project if desired. You can further explore the sequential
    2392 results and perhaps extract <span class=SpellE>Hookes</span> Law coefficients
    2393 for the other reflections that show no hysteresis. If you want the look at Bank
    2394 2 data (the opposite detector) you should start with a fresh GSAS-II project file
    2395 and follow this tutorial for it. The ratio of the corresponding slope for the
    2396 austenite 111 reflection with what we found here should be the Poisson ratio.</p>
     2318coefficient is 40.38(13<span class=GramE>)x10</span><sup>-6 </sup>MN<sup>-1</sup>
     2319for this reflection (austenite 111).<span style='mso-spacerun:yes'> 
     2320</span>This end the tutorial; save the project if desired. You can further
     2321explore the sequential results and perhaps extract <span class=SpellE>Hookes</span>
     2322Law coefficients for the other reflections that show no hysteresis. If you want
     2323the look at Bank 2 data (the opposite detector) you should start with a fresh
     2324GSAS-II project file and follow this tutorial for it. The ratio of the
     2325corresponding slope for the austenite 111 reflection with what we found here
     2326should be the Poisson ratio.</p>
    23972327
    23982328</div>
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