Changeset 1752 for Tutorials/SeqRefine/SequentialTutorial.htm
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Tutorials/SeqRefine/SequentialTutorial.htm
r1745 r1752 23 23 <o:Author>B Toby</o:Author> 24 24 <o:LastAuthor>Von Dreele</o:LastAuthor> 25 <o:Revision> 3</o:Revision>26 <o:TotalTime>39 5</o:TotalTime>27 <o:Created>201 4-07-22T20:46:00Z</o:Created>28 <o:LastSaved>2015-03-2 0T13:46:00Z</o:LastSaved>25 <o:Revision>2</o:Revision> 26 <o:TotalTime>396</o:TotalTime> 27 <o:Created>2015-03-21T14:51:00Z</o:Created> 28 <o:LastSaved>2015-03-21T14:51:00Z</o:LastSaved> 29 29 <o:Pages>1</o:Pages> 30 <o:Words>37 74</o:Words>31 <o:Characters>21 517</o:Characters>30 <o:Words>3769</o:Words> 31 <o:Characters>21484</o:Characters> 32 32 <o:Company>Argonne National Laboratory</o:Company> 33 33 <o:Lines>179</o:Lines> 34 34 <o:Paragraphs>50</o:Paragraphs> 35 <o:CharactersWithSpaces>252 41</o:CharactersWithSpaces>35 <o:CharactersWithSpaces>25203</o:CharactersWithSpaces> 36 36 <o:Version>15.00</o:Version> 37 37 </o:DocumentProperties> … … 40 40 </o:OfficeDocumentSettings> 41 41 </xml><![endif]--> 42 <link rel=dataStoreItem href="SequentialTutorial_files/item011 0.xml"43 target="SequentialTutorial_files/props11 1.xml">42 <link rel=dataStoreItem href="SequentialTutorial_files/item0111.xml" 43 target="SequentialTutorial_files/props112.xml"> 44 44 <link rel=themeData href="SequentialTutorial_files/themedata.thmx"> 45 45 <link rel=colorSchemeMapping … … 1417 1417 <p class=MsoNormal><o:p> </o:p></p> 1418 1418 1419 <p class=MsoNormal>This example assumes that one is already familiar with use of1420 GSAS-II for simple refinements.</p>1419 <p class=MsoNormal>This example assumes that one is already familiar with use 1420 of GSAS-II for simple refinements.</p> 1421 1421 1422 1422 <h1>Step 1: Fit a single temperature. </h1> … … 1733 1733 the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 1734 1734 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>Phase</span></b> 1735 entry to open the tree item). We also want to refine the phase fraction for 1736 thisphase, so <span style='mso-bidi-font-weight:bold'>select the<b> </b></span><b><span1735 entry to open the tree item). We also want to refine the phase fraction for this 1736 phase, so <span style='mso-bidi-font-weight:bold'>select the<b> </b></span><b><span 1737 1737 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 1738 1738 mso-hansi-theme-font:major-latin'>Data</span> </b><span style='mso-bidi-font-weight: … … 1842 1842 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 1843 1843 mso-hansi-theme-font:major-latin'>4.5</span>.</b> <b style='mso-bidi-font-weight: 1844 normal'><i style='mso-bidi-font-style:normal'><u>Important</u></i></b>: you 1845 will have to select the data box (it will turn blue) and then enter the number 1846 (<bstyle='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif;1844 normal'><i style='mso-bidi-font-style:normal'><u>Important</u></i></b>: you will 1845 have to select the data box (it will turn blue) and then enter the number (<b 1846 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 1847 1847 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>4.5</span></b>) 1848 1848 and then click on some other box in the window so that the change registers. </p> … … 1934 1934 "Calibri",sans-serif;mso-ascii-theme-font:major-latin;mso-hansi-theme-font: 1935 1935 major-latin'>PWDR OH_00.fxye Bank 1</span> </b><span style='mso-bidi-font-weight: 1936 bold'>entry</span> shows the Rietveld plot and zooming in on different regions1937 of the pattern provides insight on how the fit could be improved. You can alter 1938 the view to show the square root of the intensity (use the <b1936 bold'>entry</span> shows the Rietveld plot and zooming in on different 1937 regions of the pattern provides insight on how the fit could be improved. You 1938 can alter the view to show the square root of the intensity (use the <b 1939 1939 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 1940 1940 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>S</span></b> … … 2030 2030 <p class=MsoListParagraphCxSpMiddle>Close examination of the pattern shows that 2031 2031 the peak widths are still not as well fit as desired. Since strain broadening 2032 seems more significant that sample broadening, we could use an anisotropic strain2033 model. Rather than choosing the relatively complex generalized model, we can 2034 introduce only two terms with the uniaxial model.<span2032 seems more significant that sample broadening, we could use an anisotropic 2033 strain model. Rather than choosing the relatively complex generalized model, we 2034 can introduce only two terms with the uniaxial model.<span 2035 2035 style='mso-spacerun:yes'> </span>Trial and error will show that the 010 2036 2036 direction works best. Click on the first phase (<b style='mso-bidi-font-weight: … … 2082 2082 2083 2083 <p class=MsoNormal>There is one significant difference between fitting a 2084 sequence of datasets versus fitting a single data set. Rather than fitting lattice2085 constants (for which there will be only one set for each phase in the entire2086 refinement), we will use the Hydrostatic/Elastic strain terms (parameters2087 <p>:<h>:Dxx) to treat the change in lattice parameters. These items 2088 describe the change in lattice parameters and appear in the Phase Data tab, 2089 where there is a set for each histogram assigned to the phase. We will make a 2090 switch to use this for the current dataset, in preparation for the sequential 2091 refinement with all datasets. </p>2084 sequence of datasets versus fitting a single data set. Rather than fitting 2085 lattice constants (for which there will be only one set for each phase in the 2086 entire refinement), we will use the Hydrostatic/Elastic strain terms 2087 (parameters <p>:<h>:Dxx) to treat the change in lattice parameters. 2088 These items describe the change in lattice parameters and appear in the Phase 2089 Data tab, where there is a set for each histogram assigned to the phase. We 2090 will make a switch to use this for the current dataset, in preparation for the 2091 sequential refinement with all datasets. </p> 2092 2092 2093 2093 <p class=MsoNormal><o:p> </o:p></p> … … 2099 2099 (that might eliminate our impurity CuO phase) or make peaks quite a bit broader 2100 2100 than appropriate, these changes are improbable and could result in a model that 2101 is less correct than the starting point but still be a local LS minimum. In such2102 cases the best-fit model may never be found. Accordingly, we will turn off2101 is less correct than the starting point but still be a local LS minimum. In 2102 such cases the best-fit model may never be found. Accordingly, we will turn off 2103 2103 refinement of all parameters except those that determine peak positions (the 2104 2104 Dxx terms) and the overall scale factor. We might include the background terms … … 2191 2191 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 2192 2192 mso-hansi-theme-font:major-latin'>D13</span></b> term (which corresponds to the 2193 CuO β* angle), but we do not expect this to change much and expect the refinement2194 to be relatively insensitive to this, due to the small number of CuO peaks that 2195 are in the pattern.)</p>2193 CuO β* angle), but we do not expect this to change much and expect the 2194 refinement to be relatively insensitive to this, due to the small number of CuO 2195 peaks that are in the pattern.)</p> 2196 2196 2197 2197 <p class=MsoListParagraphCxSpMiddle><o:p> </o:p></p> … … 2368 2368 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2369 2369 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>K</span></b> 2370 icon from the list at the bottom of plot, between the floppy disk and question2371 mark icons and then select <b style='mso-bidi-font-weight:normal'><span2370 icon from the list at the bottom of plot, between the floppy disk and 2371 question mark icons and then select <b style='mso-bidi-font-weight:normal'><span 2372 2372 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 2373 2373 mso-hansi-theme-font:major-latin'>m: toggle multidata plot</span></b> from the … … 2587 2587 <p class=MsoNormal><o:p> </o:p></p> 2588 2588 2589 <p class=MsoNormal>At this point we determine which histograms will be used in the2590 fit and set that the resulting parameters from the results of each refinement 2591 will be used for the subsequent refinements.</p>2589 <p class=MsoNormal>At this point we determine which histograms will be used in 2590 the fit and set that the resulting parameters from the results of each 2591 refinement will be used for the subsequent refinements.</p> 2592 2592 2593 2593 <p class=MsoNormal><o:p> </o:p></p> … … 2627 2627 2628 2628 <p class=MsoListParagraphCxSpMiddle>This opens a window where all histograms 2629 can be selected (it would be equally valid to skip the first histogram, since 2630 that has already been fully fit). <span style='mso-bidi-font-weight:bold'>Press<b> 2631 </b></span><b><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2632 m ajor-latin;mso-hansi-theme-font:major-latin'>OK</span></b> and note that the <b2629 can be selected (it would be equally valid to skip the first histogram, since that 2630 has already been fully fit). <span style='mso-bidi-font-weight:bold'>Press<b> </b></span><b><span 2631 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 2632 mso-hansi-theme-font:major-latin'>OK</span></b> and note that the <b 2633 2633 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2634 2634 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>Controls</span></b> … … 2853 2853 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2854 2854 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>Sequential 2855 Results</span></b> item in the data tree is automatically selected, which displays2856 a summary of the refinement results as a large table. </p>2855 Results</span></b> item in the data tree is automatically selected, which 2856 displays a summary of the refinement results as a large table. </p> 2857 2857 2858 2858 <p class=MsoListParagraphCxSpMiddle><o:p> </o:p></p> … … 2873 2873 parameters, such as strain or background or even atomic coordinates (which have 2874 2874 not yet been fit). The Δχ<sup>2</sup> value in the third column shows 2875 the percent improvement in χ<sup>2</sup> seen in the last cycle of 2876 refinement. (If this changes from 4.1 to 4.0, then the value will be 2877 100*(4.1-4.0)/4.0, or 2.5). Since the convergence criterion in the controls is 2878 0.0001 (or 0.01%) we can see that only one refinement failed to converge. 2879 However, these shifts are still quite small, so that there is no reason to 2880 provide further cycles ofrefinement without adding new variable parameters. </p>2875 the percent improvement in χ<sup>2</sup> seen in the last cycle of refinement. 2876 (If this changes from 4.1 to 4.0, then the value will be 100*(4.1-4.0)/4.0, or 2877 2.5). Since the convergence criterion in the controls is 0.0001 (or 0.01%) we 2878 can see that only one refinement failed to converge. However, these shifts are 2879 still quite small, so that there is no reason to provide further cycles of 2880 refinement without adding new variable parameters. </p> 2881 2881 2882 2882 <p class=MsoListParagraphCxSpMiddle><o:p> </o:p></p> … … 2931 2931 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 2932 2932 mso-hansi-theme-font:major-latin'>s</span></b><span style='mso-bidi-font-weight: 2933 bold'> key</span> brings up a menu where the x-axis can be selected as 2934 temperature. If the plot fails to update, click on another column and then 2935 return to theoriginal column. </p>2933 bold'> key</span> brings up a menu where the x-axis can be selected as temperature. 2934 If the plot fails to update, click on another column and then return to the 2935 original column. </p> 2936 2936 2937 2937 <p class=MsoListParagraphCxSpMiddle><o:p> </o:p></p> … … 3192 3192 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>1:0:Scale</span></b>) 3193 3193 pertains only to the first histogram. Note that a constraint is ignored if none 3194 of the variables in it are included in the refinement, so this constraint only 3195 affectsthe first histogram, giving rise to the error above. We could set up a3194 of the variables in it are included in the refinement, so this constraint only affects 3195 the first histogram, giving rise to the error above. We could set up a 3196 3196 constraint for each histogram that has been added, but this would be rather 3197 3197 tedious to set up. The alternate is to set up a constraint where a wildcard (<span … … 3282 3282 Three new columns appear at the end of the table for <b style='mso-bidi-font-weight: 3283 3283 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3284 major-latin;mso-hansi-theme-font:major-latin'>::constr0</span></b> (generated by 3285 the constraint) and the initial variables, <b style='mso-bidi-font-weight:normal'><span 3286 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:major-latin; 3287 mso-hansi-theme-font:major-latin'>0:*:Scale</span></b> and <b style='mso-bidi-font-weight: 3284 major-latin;mso-hansi-theme-font:major-latin'>::constr0</span></b> (generated 3285 by the constraint) and the initial variables, <b style='mso-bidi-font-weight: 3288 3286 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3289 major-latin;mso-hansi-theme-font:major-latin'>1:*:Scale</span></b>. Changes to 3290 the R<sub>wp</sub> values are quite small, even though the value for the minor 3291 phase changes significantly. This indicates that the refinement is relatively 3292 insensitive to these values. </p> 3287 major-latin;mso-hansi-theme-font:major-latin'>0:*:Scale</span></b> and <b 3288 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3289 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>1:*:Scale</span></b>. 3290 Changes to the R<sub>wp</sub> values are quite small, even though the value for 3291 the minor phase changes significantly. This indicates that the refinement is 3292 relatively insensitive to these values. </p> 3293 3293 3294 3294 <p class=MsoListParagraphCxSpMiddle><o:p> </o:p></p> … … 3366 3366 3367 3367 <p>This completes the sequential refinement tutorial, although many more things 3368 could be attempted to further improve the refinement quality. In the <a 3369 href="ParametricFitting.htm">Parametric Fitting and Pseudo Variables for 3370 Sequential Fits</a> tutorial, functions of fitted parameters are computed and 3371 plotted and results are fitted to equations of state.</p> 3368 could be attempted to further improve the refinement quality. In the <b 3369 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3370 mso-ascii-theme-font:major-latin;mso-hansi-theme-font:major-latin'>Parametric 3371 Fitting and Pseudo Variables for Sequential Fits</span></b> tutorial, functions 3372 of fitted parameters are computed and plotted and results are fitted to 3373 equations of state.</p> 3372 3374 3373 3375 </div>
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