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730 | <h1><span style='mso-bidi-font-family:"Times New Roman"'>Determining Profile |
---|
731 | Parameters from a Standard<o:p></o:p></span></h1> |
---|
732 | |
---|
733 | <p class=MsoNormal><o:p> </o:p></p> |
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734 | |
---|
735 | <p class=MsoNormal>A video version of this tutorial is available at <span |
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736 | style='mso-field-code:" HYPERLINK \0022https\:\/\/anl\.box\.com\/v\/FindProfParamCW\0022 \\t \0022_blank\0022 "'><span |
---|
737 | class=MsoHyperlink><b>https://anl.box.com/v/FindProfParamCW</b></span></span></p> |
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740 | |
---|
741 | <p class=MsoNormal><span style='font-size:14.0pt'>The goal of this exercise is to |
---|
742 | determine approximate instrument profile parameters by a quick peak fit to a |
---|
743 | sample with a lab diffractometer. Ideally, one should use a material or mixture |
---|
744 | of materials that has peaks over the entire range where you collect data and |
---|
745 | use a material(s) that have negligible sample broadening (from crystallite size |
---|
746 | or <span class=SpellE>microstrain</span>). The NIST LaB<sub>6</sub> standards |
---|
747 | (SRM 660, 660a and 660b) are good choices for this, as it has very little |
---|
748 | sample broadening and a relatively small number of peaks over a wide angular |
---|
749 | range, although it would be good to have peaks starting somewhat lower in |
---|
750 | 2theta. <o:p></o:p></span></p> |
---|
751 | |
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754 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
755 | style='font-size:14.0pt'>Note</span></b><span style='font-size:14.0pt'> that it |
---|
756 | is highly recommended to collect reference data to a much higher 2theta angle |
---|
757 | than here. What is done here serves as an example, and is sufficient only if |
---|
758 | one will never collect and use data above 70 degrees (unlikely!). <o:p></o:p></span></p> |
---|
759 | |
---|
760 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
761 | |
---|
762 | <p class=MsoNormal><span style='font-size:14.0pt'>To get started, create a new |
---|
763 | project in GSAS-II, either by starting the program fresh or using <b |
---|
764 | style='mso-bidi-font-weight:normal'>File/New Project</b>. <o:p></o:p></span></p> |
---|
765 | |
---|
766 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
767 | |
---|
768 | <p class=MsoNormal><span class=Heading3Char><span style='font-size:14.0pt'>Step |
---|
769 | 1: Read in the Diffraction Data</span></span><span style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
770 | |
---|
771 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
772 | |
---|
773 | <p class=MsoNormal style='mso-pagination:none;tab-stops:28.0pt 56.0pt 84.0pt 112.0pt 140.0pt 168.0pt 196.0pt 224.0pt 3.5in 280.0pt 308.0pt 336.0pt; |
---|
774 | mso-layout-grid-align:none;text-autospace:none'><span style='font-size:14.0pt'>Use |
---|
775 | <b style='mso-bidi-font-weight:normal'>Import/Powder Data/from <span |
---|
776 | class=SpellE>Brucker</span> RAW file</b> to read </span><span style='font-size: |
---|
777 | 14.0pt;font-family:Courier'>file </span><span style='font-size:14.0pt; |
---|
778 | font-family:Courier;mso-bidi-font-family:"Menlo Regular";color:black; |
---|
779 | mso-fareast-language:EN-US'>LaB6_Jan2018.raw</span><span style='font-size:14.0pt; |
---|
780 | font-family:"Menlo Regular";color:black;mso-fareast-language:EN-US'> </span><span |
---|
781 | style='font-size:14.0pt'>from the Tutorials <span class=SpellE>CWInstDemo</span>/data |
---|
782 | directory (download from <a |
---|
783 | href="https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/CWInstDemo/data/">https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/CWInstDemo/data/</a>). |
---|
784 | After selecting this file, answer yes to "Is this the file you want?"<o:p></o:p></span></p> |
---|
785 | |
---|
786 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
787 | |
---|
788 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
789 | 2: Select Default Instrument Parameters<o:p></o:p></span></h3> |
---|
790 | |
---|
791 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
792 | |
---|
793 | <p class=MsoNormal><span style='font-size:14.0pt'>The next dialog to appear is |
---|
794 | titled, "Choose inst. <span class=SpellE>Param</span> file for LaB6_Jan2018.raw |
---|
795 | Scan 1 (or Cancel for default)" since we do not have a set of parameters to |
---|
796 | read, we must use a default set. <b style='mso-bidi-font-weight:normal'>Press |
---|
797 | Cancel</b>.<o:p></o:p></span></p> |
---|
798 | |
---|
799 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
800 | |
---|
801 | <p class=MsoNormal><span style='font-size:14.0pt'>This raises the default <span |
---|
802 | class=SpellE>inst</span> <span class=SpellE>parms</span> dialog, as below<o:p></o:p></span></p> |
---|
803 | |
---|
804 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
805 | mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype id="_x0000_t75" coordsize="21600,21600" |
---|
806 | o:spt="75" o:preferrelative="t" path="m@4@5l@4@11@9@11@9@5xe" filled="f" |
---|
807 | stroked="f"> |
---|
808 | <v:stroke joinstyle="miter"/> |
---|
809 | <v:formulas> |
---|
810 | <v:f eqn="if lineDrawn pixelLineWidth 0"/> |
---|
811 | <v:f eqn="sum @0 1 0"/> |
---|
812 | <v:f eqn="sum 0 0 @1"/> |
---|
813 | <v:f eqn="prod @2 1 2"/> |
---|
814 | <v:f eqn="prod @3 21600 pixelWidth"/> |
---|
815 | <v:f eqn="prod @3 21600 pixelHeight"/> |
---|
816 | <v:f eqn="sum @0 0 1"/> |
---|
817 | <v:f eqn="prod @6 1 2"/> |
---|
818 | <v:f eqn="prod @7 21600 pixelWidth"/> |
---|
819 | <v:f eqn="sum @8 21600 0"/> |
---|
820 | <v:f eqn="prod @7 21600 pixelHeight"/> |
---|
821 | <v:f eqn="sum @10 21600 0"/> |
---|
822 | </v:formulas> |
---|
823 | <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> |
---|
824 | <o:lock v:ext="edit" aspectratio="t"/> |
---|
825 | </v:shapetype><v:shape id="Picture_x0020_1" o:spid="_x0000_i1025" type="#_x0000_t75" |
---|
826 | style='width:390pt;height:207pt;visibility:visible'> |
---|
827 | <v:imagedata src="FindProfParamCW_files/image001.png" o:title=""/> |
---|
828 | </v:shape><![endif]--><![if !vml]><img border=0 width=392 height=209 |
---|
829 | src="FindProfParamCW_files/image002.png" v:shapes="Picture_x0020_1"><![endif]></span><span |
---|
830 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
831 | |
---|
832 | <p class=MsoNormal><span style='font-size:14.0pt'>Here, <b style='mso-bidi-font-weight: |
---|
833 | normal'>choose the first option</b> for <span class=SpellE>CuKa</span> lab data |
---|
834 | (which is for a standard instrument with Kalpha1 and Kalpha2 radiation) and <b |
---|
835 | style='mso-bidi-font-weight:normal'>press OK</b>. A plot of the data will |
---|
836 | appear as below.<o:p></o:p></span></p> |
---|
837 | |
---|
838 | <p class=MsoNormal><span style='font-size:14.0pt'><span |
---|
839 | style="mso-spacerun:yes"> </span></span><span style='font-size:14.0pt; |
---|
840 | mso-fareast-language:EN-US;mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_2" |
---|
841 | o:spid="_x0000_i1026" type="#_x0000_t75" style='width:310pt;height:229pt; |
---|
842 | visibility:visible'> |
---|
843 | <v:imagedata src="FindProfParamCW_files/image003.png" o:title=""/> |
---|
844 | </v:shape><![endif]--><![if !vml]><img border=0 width=312 height=231 |
---|
845 | src="FindProfParamCW_files/image004.png" v:shapes="Picture_x0020_2"><![endif]></span><span |
---|
846 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
847 | |
---|
848 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
849 | |
---|
850 | <p class=MsoNormal><span class=Heading3Char><span style='font-size:14.0pt'>Step |
---|
851 | 3: Change Data Range</span></span><span style='font-size:14.0pt'>. <o:p></o:p></span></p> |
---|
852 | |
---|
853 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
854 | |
---|
855 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that the data begins at |
---|
856 | 10 degrees, but the first peak is above 21 degrees, we can simplify the |
---|
857 | background fitting by changing the data limits. <b style='mso-bidi-font-weight: |
---|
858 | normal'>Click on the Limits</b> data tree item, and either change the <span |
---|
859 | class=SpellE>Tmin</span> value from 10 to 20 or in the plot <b |
---|
860 | style='mso-bidi-font-weight:normal'>"drag" the green line to the right</b> to |
---|
861 | approximately 20 degrees. <o:p></o:p></span></p> |
---|
862 | |
---|
863 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
864 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_3" o:spid="_x0000_i1027" |
---|
865 | type="#_x0000_t75" style='width:310pt;height:222pt;visibility:visible'> |
---|
866 | <v:imagedata src="FindProfParamCW_files/image005.png" o:title=""/> |
---|
867 | </v:shape><![endif]--><![if !vml]><img border=0 width=312 height=224 |
---|
868 | src="FindProfParamCW_files/image006.png" v:shapes="Picture_x0020_3"><![endif]></span><span |
---|
869 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
870 | |
---|
871 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
872 | |
---|
873 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
874 | 4: Add Peaks to Fit<o:p></o:p></span></h3> |
---|
875 | |
---|
876 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
877 | |
---|
878 | <p class=MsoNormal><span style='font-size:14.0pt'>To define peaks, <b |
---|
879 | style='mso-bidi-font-weight:normal'>click on the "Peak List</b>" data tree item. |
---|
880 | Note that as below, the peak list is initially empty. <o:p></o:p></span></p> |
---|
881 | |
---|
882 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
883 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_4" o:spid="_x0000_i1028" |
---|
884 | type="#_x0000_t75" style='width:370pt;height:238pt;visibility:visible'> |
---|
885 | <v:imagedata src="FindProfParamCW_files/image007.png" o:title=""/> |
---|
886 | </v:shape><![endif]--><![if !vml]><img border=0 width=372 height=240 |
---|
887 | src="FindProfParamCW_files/image008.png" v:shapes="Picture_x0020_4"><![endif]></span><span |
---|
888 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
889 | |
---|
890 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
891 | |
---|
892 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
893 | style='font-size:14.0pt'>Move</span></b><span style='font-size:14.0pt'> the |
---|
894 | mouse to any of the data points close to the <b style='mso-bidi-font-weight: |
---|
895 | normal'>top of the first peak and click </b>the left mouse button. A line will |
---|
896 | be drawn through the peak and the position will be added to the peak table and |
---|
897 | a line marking this is added to the plot, as below. <o:p></o:p></span></p> |
---|
898 | |
---|
899 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
900 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_5" o:spid="_x0000_i1029" |
---|
901 | type="#_x0000_t75" style='width:319pt;height:267pt;visibility:visible'> |
---|
902 | <v:imagedata src="FindProfParamCW_files/image009.png" o:title=""/> |
---|
903 | </v:shape><![endif]--><![if !vml]><img border=0 width=321 height=269 |
---|
904 | src="FindProfParamCW_files/image010.png" v:shapes="Picture_x0020_5"><![endif]></span><span |
---|
905 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
906 | |
---|
907 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
908 | |
---|
909 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
910 | style='font-size:14.0pt'>Repeat this for all 8 peaks</span></b><span |
---|
911 | style='font-size:14.0pt'> in the pattern. Note that if a peak is entered in the |
---|
912 | wrong place <span class=GramE>it can be moved by "dragging" it with the mouse</span>, |
---|
913 | or use a right-click to delete it. Be careful to make sure two peaks are not |
---|
914 | entered in the same place by accident<span class=GramE>,.</span><o:p></o:p></span></p> |
---|
915 | |
---|
916 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
917 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_6" o:spid="_x0000_i1030" |
---|
918 | type="#_x0000_t75" style='width:333pt;height:251pt;visibility:visible'> |
---|
919 | <v:imagedata src="FindProfParamCW_files/image011.png" o:title=""/> |
---|
920 | </v:shape><![endif]--><![if !vml]><img border=0 width=335 height=253 |
---|
921 | src="FindProfParamCW_files/image012.png" v:shapes="Picture_x0020_6"><![endif]><o:p></o:p></span></p> |
---|
922 | |
---|
923 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
924 | mso-no-proof:yes'>The peak table appears as:</span><span style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
925 | |
---|
926 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
927 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_7" o:spid="_x0000_i1031" |
---|
928 | type="#_x0000_t75" style='width:523pt;height:218pt;visibility:visible'> |
---|
929 | <v:imagedata src="FindProfParamCW_files/image013.png" o:title=""/> |
---|
930 | </v:shape><![endif]--><![if !vml]><img border=0 width=525 height=220 |
---|
931 | src="FindProfParamCW_files/image014.png" v:shapes="Picture_x0020_7"><![endif]></span><span |
---|
932 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
933 | |
---|
934 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
935 | |
---|
936 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
937 | 5: Refine Peak Areas<o:p></o:p></span></h3> |
---|
938 | |
---|
939 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
940 | |
---|
941 | <p class=MsoNormal><span style='font-size:14.0pt'>By default, the peak |
---|
942 | intensities <span class=GramE>are flagged as to be varied</span>, but not any |
---|
943 | of the other parameters. It is wise to refine them all, but we want to make |
---|
944 | sure the parameters have a chance to converge one step at a time and we should |
---|
945 | start with only the intensities.<span style="mso-spacerun:yes"> |
---|
946 | </span>Use the <b style='mso-bidi-font-weight:normal'>Peak Fitting/<span |
---|
947 | class=SpellE>Peakfit</span></b> menu item to perform a peak refinement. You |
---|
948 | will be asked for a name to save the project (enter a name such as <span |
---|
949 | class=SpellE>peakfit.gpx</span> and press Save). The peaks are then fit, here |
---|
950 | optimizing only the intensity values. The console window shows the details of |
---|
951 | the refinement:<o:p></o:p></span></p> |
---|
952 | |
---|
953 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
954 | |
---|
955 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
956 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_8" o:spid="_x0000_i1032" |
---|
957 | type="#_x0000_t75" style='width:475pt;height:178pt;visibility:visible'> |
---|
958 | <v:imagedata src="FindProfParamCW_files/image015.png" o:title=""/> |
---|
959 | </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=180 |
---|
960 | src="FindProfParamCW_files/image016.png" v:shapes="Picture_x0020_8"><![endif]></span><span |
---|
961 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
962 | |
---|
963 | <p class=MsoNormal><span style='font-size:14.0pt'>The warning at the end is |
---|
964 | because the default peak parameters describe a peak shape that is significantly |
---|
965 | sharper than what is actually present for these data; the step size is actually |
---|
966 | fine. This warning will later go away, but if it did not this would indicate |
---|
967 | that it would be better to recollect the data with a step size decreased by a |
---|
968 | factor of 3-4. <o:p></o:p></span></p> |
---|
969 | |
---|
970 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
971 | |
---|
972 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
973 | 6: Refine peak areas and heights<o:p></o:p></span></h3> |
---|
974 | |
---|
975 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
976 | |
---|
977 | <p class=MsoNormal><span style='font-size:14.0pt'>In the peak list window, <b |
---|
978 | style='mso-bidi-font-weight:normal'>double click in the refine heading for the |
---|
979 | peak position</b> <span class=GramE>flags,</span> this will bring up a dialog |
---|
980 | that allows all peak positions to be varied. <o:p></o:p></span></p> |
---|
981 | |
---|
982 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
983 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_9" o:spid="_x0000_i1033" |
---|
984 | type="#_x0000_t75" style='width:158pt;height:123pt;visibility:visible'> |
---|
985 | <v:imagedata src="FindProfParamCW_files/image017.png" o:title=""/> |
---|
986 | </v:shape><![endif]--><![if !vml]><img border=0 width=160 height=125 |
---|
987 | src="FindProfParamCW_files/image018.png" v:shapes="Picture_x0020_9"><![endif]></span><span |
---|
988 | style='font-size:14.0pt'><span style="mso-spacerun:yes"> </span><o:p></o:p></span></p> |
---|
989 | |
---|
990 | <p class=MsoNormal><span style='font-size:14.0pt'>Select "vary all" and press |
---|
991 | OK. Now all peak positions and areas will be refined.<o:p></o:p></span></p> |
---|
992 | |
---|
993 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
994 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_10" o:spid="_x0000_i1034" |
---|
995 | type="#_x0000_t75" style='width:514pt;height:217pt;visibility:visible'> |
---|
996 | <v:imagedata src="FindProfParamCW_files/image019.png" o:title=""/> |
---|
997 | </v:shape><![endif]--><![if !vml]><img border=0 width=516 height=219 |
---|
998 | src="FindProfParamCW_files/image020.png" v:shapes="Picture_x0020_10"><![endif]></span><span |
---|
999 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1000 | |
---|
1001 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1002 | normal'>Peak Fitting/<span class=SpellE>Peakfit</span></b> menu item to start |
---|
1003 | peak refinement.<o:p></o:p></span></p> |
---|
1004 | |
---|
1005 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1006 | |
---|
1007 | <p class=MsoNormal><span style='font-size:14.0pt'>The fit improves |
---|
1008 | significantly, as below, but further improvements are needed. <o:p></o:p></span></p> |
---|
1009 | |
---|
1010 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1011 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_11" o:spid="_x0000_i1035" |
---|
1012 | type="#_x0000_t75" style='width:258pt;height:187pt;visibility:visible'> |
---|
1013 | <v:imagedata src="FindProfParamCW_files/image021.png" o:title=""/> |
---|
1014 | </v:shape><![endif]--><![if !vml]><img border=0 width=260 height=189 |
---|
1015 | src="FindProfParamCW_files/image022.png" v:shapes="Picture_x0020_11"><![endif]></span><span |
---|
1016 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1017 | |
---|
1018 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1019 | |
---|
1020 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step 7: |
---|
1021 | Refine peak areas, heights and widths (optional)<o:p></o:p></span></h3> |
---|
1022 | |
---|
1023 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1024 | |
---|
1025 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
1026 | style='font-size:14.0pt'>Double-Click</span></b><span style='font-size:14.0pt'> |
---|
1027 | on the refine headings for the <b style='mso-bidi-font-weight:normal'>sigma</b> |
---|
1028 | (Gaussian width) and <b style='mso-bidi-font-weight:normal'>gamma</b> |
---|
1029 | (Lorentzian width) parameters so that all parameters can be refined. Use the <b |
---|
1030 | style='mso-bidi-font-weight:normal'>Peak Fitting/<span class=SpellE>Peakfit</span></b> |
---|
1031 | menu item to start peak refinement. The results in the console window are as |
---|
1032 | below.<span style="mso-spacerun:yes"> </span>This is being done here just |
---|
1033 | to see how the individual peaks vary before we fit them with a parametric |
---|
1034 | equation. This step is not necessary, but provides a useful graphical reference |
---|
1035 | to look for any anomalous peaks that one might not want to use.<span |
---|
1036 | style="mso-spacerun:yes"> </span><o:p></o:p></span></p> |
---|
1037 | |
---|
1038 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1039 | |
---|
1040 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1041 | id="_x0000_i1036" type="#_x0000_t75" style='width:6in;height:2in'> |
---|
1042 | <v:imagedata src="FindProfParamCW_files/image023.png" o:title=""/> |
---|
1043 | </v:shape><![endif]--><![if !vml]><img border=0 width=434 height=146 |
---|
1044 | src="FindProfParamCW_files/image024.png" v:shapes="_x0000_i1036"><![endif]><o:p></o:p></span></p> |
---|
1045 | |
---|
1046 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1047 | |
---|
1048 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1049 | 8: Add more Background terms<o:p></o:p></span></h3> |
---|
1050 | |
---|
1051 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1052 | |
---|
1053 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the zoom feature |
---|
1054 | (magnifying glass) to draw a box around the low intensity data<o:p></o:p></span></p> |
---|
1055 | |
---|
1056 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1057 | |
---|
1058 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1059 | id="_x0000_i1037" type="#_x0000_t75" style='width:441pt;height:180pt'> |
---|
1060 | <v:imagedata src="FindProfParamCW_files/image025.png" o:title="fig"/> |
---|
1061 | </v:shape><![endif]--><![if !vml]><img border=0 width=443 height=182 |
---|
1062 | src="FindProfParamCW_files/image026.png" v:shapes="_x0000_i1037"><![endif]><o:p></o:p></span></p> |
---|
1063 | |
---|
1064 | <p class=MsoNormal><span style='font-size:14.0pt'>Looking at the plot (see |
---|
1065 | below<span class=GramE>),</span> makes it clear that the background is not well |
---|
1066 | fit. Adding more background terms will fix this. <o:p></o:p></span></p> |
---|
1067 | |
---|
1068 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1069 | id="_x0000_i1038" type="#_x0000_t75" style='width:431pt;height:324pt'> |
---|
1070 | <v:imagedata src="FindProfParamCW_files/image027.png" o:title=""/> |
---|
1071 | </v:shape><![endif]--><![if !vml]><img border=0 width=433 height=326 |
---|
1072 | src="FindProfParamCW_files/image028.png" v:shapes="_x0000_i1038"><![endif]><o:p></o:p></span></p> |
---|
1073 | |
---|
1074 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1075 | |
---|
1076 | <p class=MsoNormal><span style='font-size:14.0pt'>Select the <b |
---|
1077 | style='mso-bidi-font-weight:normal'>Background</b> tree item and change the <b |
---|
1078 | style='mso-bidi-font-weight:normal'>number of coefficients to 6</b>, as shown |
---|
1079 | below. <o:p></o:p></span></p> |
---|
1080 | |
---|
1081 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1082 | id="_x0000_i1039" type="#_x0000_t75" style='width:553pt;height:231pt'> |
---|
1083 | <v:imagedata src="FindProfParamCW_files/image029.png" o:title=""/> |
---|
1084 | </v:shape><![endif]--><![if !vml]><img border=0 width=555 height=233 |
---|
1085 | src="FindProfParamCW_files/image030.png" v:shapes="_x0000_i1039"><![endif]><o:p></o:p></span></p> |
---|
1086 | |
---|
1087 | <p class=MsoNormal><span style='font-size:14.0pt'>Then return to the <b |
---|
1088 | style='mso-bidi-font-weight:normal'>Peak List</b> data tree item and use the <b |
---|
1089 | style='mso-bidi-font-weight:normal'>Peak Fitting/<span class=SpellE>Peakfit</span></b> |
---|
1090 | menu item to perform a peak refinement. At this point it is instructive to |
---|
1091 | click on the <b style='mso-bidi-font-weight:normal'>Instrument Parameters</b> |
---|
1092 | data tree item to see a plot of peak widths:<o:p></o:p></span></p> |
---|
1093 | |
---|
1094 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1095 | id="_x0000_i1040" type="#_x0000_t75" style='width:457pt;height:374pt'> |
---|
1096 | <v:imagedata src="FindProfParamCW_files/image031.png" o:title=""/> |
---|
1097 | </v:shape><![endif]--><![if !vml]><img border=0 width=459 height=376 |
---|
1098 | src="FindProfParamCW_files/image032.png" v:shapes="_x0000_i1040"><![endif]><o:p></o:p></span></p> |
---|
1099 | |
---|
1100 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that the solid curves |
---|
1101 | here are plots of the profile coefficients from the default instrument |
---|
1102 | parameters (which are unimportant here), but the fits for the individual peaks |
---|
1103 | are shown (in units of Q/delta-Q <span class=SpellE>vs</span> Q), with |
---|
1104 | Lorentzian widths (gamma) in green, Gaussian widths (sigma) in red and their |
---|
1105 | convolution (total broadening) in blue. <o:p></o:p></span></p> |
---|
1106 | |
---|
1107 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1108 | |
---|
1109 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1110 | 9: Refine Profile Parameters<o:p></o:p></span></h3> |
---|
1111 | |
---|
1112 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1113 | |
---|
1114 | <p class=MsoNormal><span style='font-size:14.0pt'>Now, select the profile terms |
---|
1115 | to be <b style='mso-bidi-font-weight:normal'>refine</b>d. Use <b |
---|
1116 | style='mso-bidi-font-weight:normal'>Gaussian U, V, & W and Lorentzian X |
---|
1117 | & Y</b> (note that Z, which provides constant broadening, independent of Q, |
---|
1118 | is provided as an option, but is rarely if ever needed.)<o:p></o:p></span></p> |
---|
1119 | |
---|
1120 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1121 | id="_x0000_i1041" type="#_x0000_t75" style='width:505pt;height:263pt'> |
---|
1122 | <v:imagedata src="FindProfParamCW_files/image033.png" o:title=""/> |
---|
1123 | </v:shape><![endif]--><![if !vml]><img border=0 width=507 height=265 |
---|
1124 | src="FindProfParamCW_files/image034.png" v:shapes="_x0000_i1041"><![endif]><o:p></o:p></span></p> |
---|
1125 | |
---|
1126 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1127 | |
---|
1128 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that these U, V & W |
---|
1129 | values will be used to set the Gaussian peak widths for those peaks where sigma |
---|
1130 | is not being refined and likewise X, Y & Z will be used to determine the |
---|
1131 | Lorentzian widths where gamma is not refined for that peak. If we had any peaks |
---|
1132 | that were not consistent with the width of the others, we might choose to |
---|
1133 | continue to refine their sigma & gamma values so they would not affect U, <span |
---|
1134 | class=GramE>V,É,</span> but here we will refine U, V, W, X & Y against all |
---|
1135 | peaks. Select the <b style='mso-bidi-font-weight:normal'>Peak List data</b> |
---|
1136 | tree item and <b style='mso-bidi-font-weight:normal'>remove refinement of sigma |
---|
1137 | & gamma</b> for all peaks by double-clicking on the refine column headers |
---|
1138 | for each and select "N – vary none" so that the table appears as below:<o:p></o:p></span></p> |
---|
1139 | |
---|
1140 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1141 | id="_x0000_i1042" type="#_x0000_t75" style='width:533pt;height:207pt'> |
---|
1142 | <v:imagedata src="FindProfParamCW_files/image035.png" o:title=""/> |
---|
1143 | </v:shape><![endif]--><![if !vml]><img border=0 width=535 height=209 |
---|
1144 | src="FindProfParamCW_files/image036.png" v:shapes="_x0000_i1042"><![endif]><o:p></o:p></span></p> |
---|
1145 | |
---|
1146 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1147 | |
---|
1148 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1149 | normal'>Peak Fitting/<span class=SpellE>Peakfit</span></b> menu item to perform |
---|
1150 | a peak refinement optimizing U, V, W, <span class=GramE>X</span> & Y:<o:p></o:p></span></p> |
---|
1151 | |
---|
1152 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1153 | |
---|
1154 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1155 | id="_x0000_i1043" type="#_x0000_t75" style='width:510pt;height:198pt'> |
---|
1156 | <v:imagedata src="FindProfParamCW_files/image037.png" o:title=""/> |
---|
1157 | </v:shape><![endif]--><![if !vml]><img border=0 width=512 height=200 |
---|
1158 | src="FindProfParamCW_files/image038.png" v:shapes="_x0000_i1043"><![endif]><o:p></o:p></span></p> |
---|
1159 | |
---|
1160 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that the sigma and gamma |
---|
1161 | values are now computed from U, V, & W and X & Y, respectively. The |
---|
1162 | difference curve shows very small deviations.<o:p></o:p></span></p> |
---|
1163 | |
---|
1164 | <p class=MsoNormal><span style='font-size:14.0pt'><span |
---|
1165 | style="mso-spacerun:yes"> </span><!--[if gte vml 1]><v:shape id="_x0000_i1044" |
---|
1166 | type="#_x0000_t75" style='width:460pt;height:323pt'> |
---|
1167 | <v:imagedata src="FindProfParamCW_files/image039.png" o:title=""/> |
---|
1168 | </v:shape><![endif]--><![if !vml]><img border=0 width=462 height=325 |
---|
1169 | src="FindProfParamCW_files/image040.png" v:shapes="_x0000_i1044"><![endif]><o:p></o:p></span></p> |
---|
1170 | |
---|
1171 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that the background is |
---|
1172 | also quite well fit now. <o:p></o:p></span></p> |
---|
1173 | |
---|
1174 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1175 | 10: Save the Profile Parameters<o:p></o:p></span></h3> |
---|
1176 | |
---|
1177 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1178 | |
---|
1179 | <p class=MsoNormal><span style='font-size:14.0pt'>So that we can use these |
---|
1180 | profile terms as the starting point for a future refinement, <b |
---|
1181 | style='mso-bidi-font-weight:normal'>save the profile terms</b> to a file by |
---|
1182 | clicking on the <b style='mso-bidi-font-weight:normal'>Instrumental Parameters</b> |
---|
1183 | data tree item and use the <b style='mso-bidi-font-weight:normal'>Operations/Save |
---|
1184 | Profile</b> menu command. Give the file a name that will be helpful for future |
---|
1185 | use (<<span class=SpellE><i style='mso-bidi-font-style:normal'>MyInstrument</i></span><i |
---|
1186 | style='mso-bidi-font-style:normal'>></i>20-70deg.instparm might be good) and |
---|
1187 | put this file in the directory(s) where you will keep your data files. <o:p></o:p></span></p> |
---|
1188 | |
---|
1189 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1190 | |
---|
1191 | <p class=MsoNormal><span style='font-size:14.0pt'>Clicking on the Instrument |
---|
1192 | Parameters data tree item will show the peak widths from U, V, W, X & Y, |
---|
1193 | and also the individual peak widths generated from those values (not very |
---|
1194 | useful). For a more useful plot we refining the individual peak widths |
---|
1195 | independently again, as shown in the next section. <o:p></o:p></span></p> |
---|
1196 | |
---|
1197 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1198 | 11: Plot Profile Parameters with Individual Peak Widths (optional)<o:p></o:p></span></h3> |
---|
1199 | |
---|
1200 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1201 | |
---|
1202 | <p class=MsoNormal><span style='font-size:14.0pt'>First we <b style='mso-bidi-font-weight: |
---|
1203 | normal'>stop refining U, V, W, <span class=GramE>X</span> & Y</b> by |
---|
1204 | clicking on <b style='mso-bidi-font-weight:normal'>Instrumental Parameters</b> |
---|
1205 | data tree item and turning the refinement flags off. <o:p></o:p></span></p> |
---|
1206 | |
---|
1207 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1208 | id="_x0000_i1045" type="#_x0000_t75" style='width:393pt;height:254pt'> |
---|
1209 | <v:imagedata src="FindProfParamCW_files/image041.png" o:title=""/> |
---|
1210 | </v:shape><![endif]--><![if !vml]><img border=0 width=395 height=256 |
---|
1211 | src="FindProfParamCW_files/image042.png" v:shapes="_x0000_i1045"><![endif]><o:p></o:p></span></p> |
---|
1212 | |
---|
1213 | <p class=MsoNormal><span style='font-size:14.0pt'>In the <b style='mso-bidi-font-weight: |
---|
1214 | normal'>Peak List</b> data tree item, turn on<b style='mso-bidi-font-weight: |
---|
1215 | normal'> refine</b>ment of<b style='mso-bidi-font-weight:normal'> all |
---|
1216 | individual peak widths</b> (as we did in Step 7)<o:p></o:p></span></p> |
---|
1217 | |
---|
1218 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1219 | id="_x0000_i1046" type="#_x0000_t75" style='width:545pt;height:195pt'> |
---|
1220 | <v:imagedata src="FindProfParamCW_files/image043.png" o:title=""/> |
---|
1221 | </v:shape><![endif]--><![if !vml]><img border=0 width=547 height=197 |
---|
1222 | src="FindProfParamCW_files/image044.png" v:shapes="_x0000_i1046"><![endif]><o:p></o:p></span></p> |
---|
1223 | |
---|
1224 | <p class=MsoNormal><span class=GramE><span style='font-size:14.0pt'>and</span></span><span |
---|
1225 | style='font-size:14.0pt'> use the <b style='mso-bidi-font-weight:normal'>Peak |
---|
1226 | Fitting/<span class=SpellE>Peakfit</span></b> menu item to perform a peak |
---|
1227 | refinement optimizing individual peak widths, as before. Returning to the <b |
---|
1228 | style='mso-bidi-font-weight:normal'>Instrumental Parameters</b> data tree item |
---|
1229 | provides this plot:<o:p></o:p></span></p> |
---|
1230 | |
---|
1231 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1232 | |
---|
1233 | <p class=MsoNormal><span style='font-size:14.0pt'><!--[if gte vml 1]><v:shape |
---|
1234 | id="_x0000_i1047" type="#_x0000_t75" style='width:537pt;height:426pt'> |
---|
1235 | <v:imagedata src="FindProfParamCW_files/image045.png" o:title=""/> |
---|
1236 | </v:shape><![endif]--><![if !vml]><img border=0 width=539 height=428 |
---|
1237 | src="FindProfParamCW_files/image046.png" v:shapes="_x0000_i1047"><![endif]><o:p></o:p></span></p> |
---|
1238 | |
---|
1239 | <p class=MsoNormal><span style='font-size:14.0pt'>The displayed lines and |
---|
1240 | points are as follows, where Lorentzian widths are shown in green, Gaussian |
---|
1241 | widths are in red and their convolution (total broadening) is shown in blue: <o:p></o:p></span></p> |
---|
1242 | |
---|
1243 | <p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span |
---|
1244 | style='font-size:14.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; |
---|
1245 | mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>á<span |
---|
1246 | style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b |
---|
1247 | style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt'>Solid curves</span></b><span |
---|
1248 | style='font-size:14.0pt'>: profile terms from original instrument parameter |
---|
1249 | file (here the <span class=SpellE>CuKa</span> lab data defaults). Note since X, |
---|
1250 | Y & Z are zero, there is only Gaussian broadening and the total broadening |
---|
1251 | is exactly the same as the Gaussian so the blue curve hides the red one. <o:p></o:p></span></p> |
---|
1252 | |
---|
1253 | <p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span |
---|
1254 | style='font-size:14.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; |
---|
1255 | mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>á<span |
---|
1256 | style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b |
---|
1257 | style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt'>Dashed |
---|
1258 | curves:</span></b><span style='font-size:14.0pt'> <span class=GramE>these |
---|
1259 | values are generated by U, V & W and X, Y & Z. Note that the broadening |
---|
1260 | from this instrument is significantly greater than the default</span> values. <o:p></o:p></span></p> |
---|
1261 | |
---|
1262 | <p class=MsoNormal style='margin-left:.5in;text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span |
---|
1263 | style='font-size:14.0pt;font-family:Symbol;mso-fareast-font-family:Symbol; |
---|
1264 | mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>á<span |
---|
1265 | style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b |
---|
1266 | style='mso-bidi-font-weight:normal'><span style='font-size:14.0pt'>Plus signs |
---|
1267 | (points):</span></b><span style='font-size:14.0pt'> these are the widths for |
---|
1268 | the individual reflections unconstrained. Note that they agree well with the |
---|
1269 | fitted curves (dashed lines).<span style="mso-spacerun:yes"> </span><o:p></o:p></span></p> |
---|
1270 | |
---|
1271 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1272 | |
---|
1273 | <p class=MsoNormal><i style='mso-bidi-font-style:normal'><span |
---|
1274 | style='font-size:14.0pt'>These profile terms are more than adequate for most |
---|
1275 | structural fitting problems, but it should be noted that these values are not |
---|
1276 | sufficient to obtain quantitative measurements of <span class=SpellE>microstrain</span> |
---|
1277 | and/or crystallite size. To obtain even better terms the instrument profile is |
---|
1278 | best determined by a Rietveld fit for (with a standard where <span |
---|
1279 | class=SpellE>microstrain</span> and size are known to be negligible or at least |
---|
1280 | have certified values) Those certified values should be set as input values and |
---|
1281 | not refined to allow U, V, W, X, and Y to be further refined. Ideally, in |
---|
1282 | addition to higher angle data, the sample would also have lower angle peaks and |
---|
1283 | SH/L can also be refined. <o:p></o:p></span></i></p> |
---|
1284 | |
---|
1285 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1286 | |
---|
1287 | <h1>Part 2: Test the Profile Parameters</h1> |
---|
1288 | |
---|
1289 | <p class=MsoNormal><o:p> </o:p></p> |
---|
1290 | |
---|
1291 | <p class=MsoNormal><span style='font-size:14.0pt'>The obvious question will be |
---|
1292 | how well do these parameters fit the data? To test this, we can start a new |
---|
1293 | refinement using these parameters and see how well they do. <o:p></o:p></span></p> |
---|
1294 | |
---|
1295 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1296 | |
---|
1297 | <p class=MsoNormal><span class=Heading3Char><span style='font-size:14.0pt'>Step |
---|
1298 | 2.1: Read in the Diffraction Data</span></span><span style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1299 | |
---|
1300 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1301 | |
---|
1302 | <p class=MsoNormal style='mso-pagination:none;tab-stops:28.0pt 56.0pt 84.0pt 112.0pt 140.0pt 168.0pt 196.0pt 224.0pt 3.5in 280.0pt 308.0pt 336.0pt; |
---|
1303 | mso-layout-grid-align:none;text-autospace:none'><span style='font-size:14.0pt'>Use |
---|
1304 | File/New Project to create an empty project. You can say <span class=GramE>Yes</span> |
---|
1305 | to the prompt to save the current project (No would not hurt.) As before, <span |
---|
1306 | class=GramE>use <b style='mso-bidi-font-weight:normal'>Import/Powder Data/from <span |
---|
1307 | class=SpellE>Brucker</span> RAW file</b> to read <span style='font-family:Courier'>file</span></span></span><span |
---|
1308 | style='font-size:14.0pt;font-family:Courier'> </span><span style='font-size: |
---|
1309 | 14.0pt;font-family:Courier;mso-bidi-font-family:"Menlo Regular";color:black; |
---|
1310 | mso-fareast-language:EN-US'>LaB6_Jan2018.raw</span><span style='font-size:14.0pt; |
---|
1311 | font-family:"Menlo Regular";color:black;mso-fareast-language:EN-US'> </span><span |
---|
1312 | style='font-size:14.0pt'>from the Tutorials <span class=SpellE>CWInstDemo</span>/data |
---|
1313 | directory (downloaded already from <a |
---|
1314 | href="https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/CWInstDemo/data/">https://subversion.xray.aps.anl.gov/pyGSAS/Tutorials/CWInstDemo/data/</a>). |
---|
1315 | After selecting this file, answer yes to "Is this the file you want?"<o:p></o:p></span></p> |
---|
1316 | |
---|
1317 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1318 | |
---|
1319 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1320 | 2.2: Select New Instrument Parameters<o:p></o:p></span></h3> |
---|
1321 | |
---|
1322 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1323 | |
---|
1324 | <p class=MsoNormal><span style='font-size:14.0pt'>The next dialog to appear is |
---|
1325 | titled, "Choose inst. <span class=SpellE>Param</span> file for LaB6_Jan2018.raw |
---|
1326 | Scan 1 unlike before, we do have profile terms to read, from the file created |
---|
1327 | in Step 10, above. Select the file written before (such as <<span |
---|
1328 | class=SpellE><i style='mso-bidi-font-style:normal'>MyInstrument</i></span><i |
---|
1329 | style='mso-bidi-font-style:normal'>></i>20-<span class=GramE>70deg.instparm |
---|
1330 | )</span> and <b style='mso-bidi-font-weight:normal'>press OK</b>.<span |
---|
1331 | style="mso-spacerun:yes"> </span>Note that you may need to change the |
---|
1332 | file filter to see files of <span class=GramE>type .<span class=SpellE>instparm</span></span>. |
---|
1333 | <o:p></o:p></span></p> |
---|
1334 | |
---|
1335 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1336 | |
---|
1337 | <p class=MsoNormal><span style='font-size:14.0pt'>At present, the instrument |
---|
1338 | type is not saved, so go to the Sample Parameters data tree item for the new |
---|
1339 | histogram and change the <b style='mso-bidi-font-weight:normal'>Diffractometer |
---|
1340 | type</b> from Debye-<span class=SpellE>Scherrer</span> <b style='mso-bidi-font-weight: |
---|
1341 | normal'>to Bragg-Brentano</b>.<o:p></o:p></span></p> |
---|
1342 | |
---|
1343 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1344 | |
---|
1345 | <p class=MsoNormal><span style='font-size:14.0pt'>(<span class=GramE>before</span>)<o:p></o:p></span></p> |
---|
1346 | |
---|
1347 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1348 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_24" o:spid="_x0000_i1048" |
---|
1349 | type="#_x0000_t75" style='width:377pt;height:183pt;visibility:visible; |
---|
1350 | mso-wrap-style:square'> |
---|
1351 | <v:imagedata src="FindProfParamCW_files/image047.png" o:title=""/> |
---|
1352 | </v:shape><![endif]--><![if !vml]><img border=0 width=379 height=185 |
---|
1353 | src="FindProfParamCW_files/image048.png" v:shapes="Picture_x0020_24"><![endif]></span><span |
---|
1354 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1355 | |
---|
1356 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1357 | |
---|
1358 | <p class=MsoNormal><span style='font-size:14.0pt'>(<span class=GramE>after</span>)<o:p></o:p></span></p> |
---|
1359 | |
---|
1360 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1361 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_25" o:spid="_x0000_i1049" |
---|
1362 | type="#_x0000_t75" style='width:372pt;height:83pt;visibility:visible; |
---|
1363 | mso-wrap-style:square'> |
---|
1364 | <v:imagedata src="FindProfParamCW_files/image049.png" o:title=""/> |
---|
1365 | </v:shape><![endif]--><![if !vml]><img border=0 width=374 height=85 |
---|
1366 | src="FindProfParamCW_files/image050.png" v:shapes="Picture_x0020_25"><![endif]></span><span |
---|
1367 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1368 | |
---|
1369 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1370 | 2.3: Add Phase<o:p></o:p></span></h3> |
---|
1371 | |
---|
1372 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1373 | |
---|
1374 | <p class=MsoNormal><span style='font-size:14.0pt'>We will add a phase for <span |
---|
1375 | class=GramE>LaB6,</span> since this is a simple material we will input this by |
---|
1376 | hand rather than trying to import it. <b style='mso-bidi-font-weight:normal'>Use |
---|
1377 | Data/Add new phase</b> to create a new phase. <b style='mso-bidi-font-weight: |
---|
1378 | normal'>Enter any name</b> you choose, though LaB6 is a good choice and <b |
---|
1379 | style='mso-bidi-font-weight:normal'>press OK</b>. <o:p></o:p></span></p> |
---|
1380 | |
---|
1381 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1382 | |
---|
1383 | <p class=MsoNormal><span style='font-size:14.0pt'>The symmetry and cell need to |
---|
1384 | be edited on the new phase's General tab. <b style='mso-bidi-font-weight:normal'>Click |
---|
1385 | on the Space Group Button</b> (which defaults to P1) and <b style='mso-bidi-font-weight: |
---|
1386 | normal'>enter P m -3 m</b> (note use of spaces to separate symmetry axes |
---|
1387 | – though in this case since this is a standard setting, omitting the |
---|
1388 | spaces works too. <span class=GramE>The space group symmetry information is |
---|
1389 | displayed</span>, <span class=GramE><b style='mso-bidi-font-weight:normal'>click |
---|
1390 | OK</b></span>. <o:p></o:p></span></p> |
---|
1391 | |
---|
1392 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1393 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_26" o:spid="_x0000_i1050" |
---|
1394 | type="#_x0000_t75" style='width:191pt;height:246pt;visibility:visible; |
---|
1395 | mso-wrap-style:square'> |
---|
1396 | <v:imagedata src="FindProfParamCW_files/image051.png" o:title=""/> |
---|
1397 | </v:shape><![endif]--><![if !vml]><img border=0 width=193 height=248 |
---|
1398 | src="FindProfParamCW_files/image052.png" v:shapes="Picture_x0020_26"><![endif]></span><span |
---|
1399 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1400 | |
---|
1401 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1402 | |
---|
1403 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
1404 | style='font-size:14.0pt'>Change the lattice constant</span></b><span |
---|
1405 | style='font-size:14.0pt'> (<i style='mso-bidi-font-style:normal'>a</i>) from |
---|
1406 | 1.0 to <b style='mso-bidi-font-weight:normal'>4.15689</b> A. (The value for SRM |
---|
1407 | 660b)<o:p></o:p></span></p> |
---|
1408 | |
---|
1409 | <p class=MsoNormal><span style="mso-spacerun:yes"> </span><span |
---|
1410 | style='font-size:14.0pt;mso-fareast-language:EN-US;mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
---|
1411 | id="Picture_x0020_38" o:spid="_x0000_i1051" type="#_x0000_t75" style='width:5in; |
---|
1412 | height:135pt;visibility:visible;mso-wrap-style:square'> |
---|
1413 | <v:imagedata src="FindProfParamCW_files/image053.png" o:title=""/> |
---|
1414 | </v:shape><![endif]--><![if !vml]><img border=0 width=362 height=137 |
---|
1415 | src="FindProfParamCW_files/image054.png" v:shapes="Picture_x0020_38"><![endif]></span><span |
---|
1416 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1417 | |
---|
1418 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1419 | |
---|
1420 | <p class=MsoNormal><span style='font-size:14.0pt'>Finally add atoms to the |
---|
1421 | phase by <b style='mso-bidi-font-weight:normal'>clicking on the Atoms</b> <b |
---|
1422 | style='mso-bidi-font-weight:normal'>tab</b>. Use the <b style='mso-bidi-font-weight: |
---|
1423 | normal'>Edit Atoms/Append atom</b> menu item to insert an atom. A new atom is |
---|
1424 | included in the table.<o:p></o:p></span></p> |
---|
1425 | |
---|
1426 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1427 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_29" o:spid="_x0000_i1052" |
---|
1428 | type="#_x0000_t75" style='width:505pt;height:71pt;visibility:visible; |
---|
1429 | mso-wrap-style:square'> |
---|
1430 | <v:imagedata src="FindProfParamCW_files/image055.png" o:title=""/> |
---|
1431 | </v:shape><![endif]--><![if !vml]><img border=0 width=507 height=73 |
---|
1432 | src="FindProfParamCW_files/image056.png" v:shapes="Picture_x0020_29"><![endif]></span><span |
---|
1433 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1434 | |
---|
1435 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
1436 | style='font-size:14.0pt'>Double-Click</span></b><span style='font-size:14.0pt'> |
---|
1437 | on the <b style='mso-bidi-font-weight:normal'>Type</b> value (H) and which |
---|
1438 | opens a periodic table window. Click on the <b style='mso-bidi-font-weight: |
---|
1439 | normal'>arrow next to La</b> to bring up a menu of the defined valences<o:p></o:p></span></p> |
---|
1440 | |
---|
1441 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1442 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_30" o:spid="_x0000_i1053" |
---|
1443 | type="#_x0000_t75" style='width:94pt;height:106pt;visibility:visible; |
---|
1444 | mso-wrap-style:square'> |
---|
1445 | <v:imagedata src="FindProfParamCW_files/image057.png" o:title=""/> |
---|
1446 | </v:shape><![endif]--><![if !vml]><img border=0 width=96 height=108 |
---|
1447 | src="FindProfParamCW_files/image058.png" v:shapes="Picture_x0020_30"><![endif]></span><span |
---|
1448 | style='font-size:14.0pt'><span style="mso-spacerun:yes"> </span><o:p></o:p></span></p> |
---|
1449 | |
---|
1450 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
1451 | style='font-size:14.0pt'>Select La</span></b><span style='font-size:14.0pt'> |
---|
1452 | (neutral atoms are usually preferred) from that pull-down and the period table |
---|
1453 | window closes. This atom is located at position 0,0,0 so no further editing is |
---|
1454 | needed. For completeness add the second by using the <b style='mso-bidi-font-weight: |
---|
1455 | normal'>Edit Atoms/Append atom</b> menu item again. <span class=GramE>to</span> |
---|
1456 | insert an atom. For the second atom, change the type to boron by <b |
---|
1457 | style='mso-bidi-font-weight:normal'>Double-Clicking</b> on the <b |
---|
1458 | style='mso-bidi-font-weight:normal'>Type</b> value (H) and selecting B (the |
---|
1459 | only choice) from the pull-down. The coordinates for this atom are |
---|
1460 | 0.1975,0.5,0.5 so the x, y and z values must be edited.<o:p></o:p></span></p> |
---|
1461 | |
---|
1462 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1463 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_31" o:spid="_x0000_i1054" |
---|
1464 | type="#_x0000_t75" style='width:513pt;height:56pt;visibility:visible; |
---|
1465 | mso-wrap-style:square'> |
---|
1466 | <v:imagedata src="FindProfParamCW_files/image059.png" o:title=""/> |
---|
1467 | </v:shape><![endif]--><![if !vml]><img border=0 width=515 height=58 |
---|
1468 | src="FindProfParamCW_files/image060.png" v:shapes="Picture_x0020_31"><![endif]></span><span |
---|
1469 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1470 | |
---|
1471 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that the site |
---|
1472 | multiplicities indicate that the stoichiometry is La<sub>1</sub>B<sub>6</sub>, |
---|
1473 | as is expected.<o:p></o:p></span></p> |
---|
1474 | |
---|
1475 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1476 | |
---|
1477 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1478 | 2.4: Link Histogram and Phase<o:p></o:p></span></h3> |
---|
1479 | |
---|
1480 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1481 | |
---|
1482 | <p class=MsoNormal><b style='mso-bidi-font-weight:normal'><span |
---|
1483 | style='font-size:14.0pt'>Click</span></b><span style='font-size:14.0pt'> on the |
---|
1484 | <b style='mso-bidi-font-weight:normal'>Data tab</b> for the phase. Note that |
---|
1485 | there are no associated histograms:<o:p></o:p></span></p> |
---|
1486 | |
---|
1487 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1488 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_35" o:spid="_x0000_i1055" |
---|
1489 | type="#_x0000_t75" style='width:626pt;height:125pt;visibility:visible; |
---|
1490 | mso-wrap-style:square'> |
---|
1491 | <v:imagedata src="FindProfParamCW_files/image061.png" o:title=""/> |
---|
1492 | </v:shape><![endif]--><![if !vml]><img border=0 width=628 height=127 |
---|
1493 | src="FindProfParamCW_files/image062.png" v:shapes="Picture_x0020_35"><![endif]></span><span |
---|
1494 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1495 | |
---|
1496 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1497 | |
---|
1498 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1499 | normal'>Edit Phase/Add Powder Histogram</b> menu command. <b style='mso-bidi-font-weight: |
---|
1500 | normal'>Select</b> the one histogram and <b style='mso-bidi-font-weight:normal'>press |
---|
1501 | OK</b>.<span style="mso-spacerun:yes"> </span><o:p></o:p></span></p> |
---|
1502 | |
---|
1503 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1504 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_36" o:spid="_x0000_i1056" |
---|
1505 | type="#_x0000_t75" style='width:250pt;height:190pt;visibility:visible; |
---|
1506 | mso-wrap-style:square'> |
---|
1507 | <v:imagedata src="FindProfParamCW_files/image063.png" o:title=""/> |
---|
1508 | </v:shape><![endif]--><![if !vml]><img border=0 width=252 height=192 |
---|
1509 | src="FindProfParamCW_files/image064.png" v:shapes="Picture_x0020_36"><![endif]></span><span |
---|
1510 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1511 | |
---|
1512 | <p class=MsoNormal><span style='font-size:14.0pt'>Nothing needs to be changed of |
---|
1513 | the new parameters added here:<o:p></o:p></span></p> |
---|
1514 | |
---|
1515 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1516 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_37" o:spid="_x0000_i1057" |
---|
1517 | type="#_x0000_t75" style='width:490pt;height:268pt;visibility:visible; |
---|
1518 | mso-wrap-style:square'> |
---|
1519 | <v:imagedata src="FindProfParamCW_files/image065.png" o:title=""/> |
---|
1520 | </v:shape><![endif]--><![if !vml]><img border=0 width=492 height=270 |
---|
1521 | src="FindProfParamCW_files/image066.png" v:shapes="Picture_x0020_37"><![endif]></span><span |
---|
1522 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1523 | |
---|
1524 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1525 | |
---|
1526 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1527 | 2.5: Refine Histogram Parameters<o:p></o:p></span></h3> |
---|
1528 | |
---|
1529 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1530 | |
---|
1531 | <p class=MsoNormal><span style='font-size:14.0pt'>We will first change a few |
---|
1532 | histogram parameters. For data tree item <b style='mso-bidi-font-weight:normal'>Limits |
---|
1533 | change <span class=SpellE>Tmin</span> to 20</b> degrees, as was done before in |
---|
1534 | step 3. <o:p></o:p></span></p> |
---|
1535 | |
---|
1536 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1537 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_32" o:spid="_x0000_i1058" |
---|
1538 | type="#_x0000_t75" style='width:311pt;height:95pt;visibility:visible; |
---|
1539 | mso-wrap-style:square'> |
---|
1540 | <v:imagedata src="FindProfParamCW_files/image067.png" o:title=""/> |
---|
1541 | </v:shape><![endif]--><![if !vml]><img border=0 width=313 height=97 |
---|
1542 | src="FindProfParamCW_files/image068.png" v:shapes="Picture_x0020_32"><![endif]></span><span |
---|
1543 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1544 | |
---|
1545 | <p class=MsoNormal><span style='font-size:14.0pt'>For data tree item <b |
---|
1546 | style='mso-bidi-font-weight:normal'>Background change </b>the Number of <span |
---|
1547 | class=SpellE><b style='mso-bidi-font-weight:normal'>coeff</b></span>. <span |
---|
1548 | class=GramE><b style='mso-bidi-font-weight:normal'>to</b></span><b |
---|
1549 | style='mso-bidi-font-weight:normal'> 6</b>, as was done before in step 8. <o:p></o:p></span></p> |
---|
1550 | |
---|
1551 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1552 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_33" o:spid="_x0000_i1059" |
---|
1553 | type="#_x0000_t75" style='width:406pt;height:109pt;visibility:visible; |
---|
1554 | mso-wrap-style:square'> |
---|
1555 | <v:imagedata src="FindProfParamCW_files/image069.png" o:title=""/> |
---|
1556 | </v:shape><![endif]--><![if !vml]><img border=0 width=408 height=111 |
---|
1557 | src="FindProfParamCW_files/image070.png" v:shapes="Picture_x0020_33"><![endif]></span><span |
---|
1558 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1559 | |
---|
1560 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1561 | |
---|
1562 | <p class=MsoNormal><span style='font-size:14.0pt'>Note that the refinement flag |
---|
1563 | is on by default. We will <u>not refine</u> any of the Instrument parameters |
---|
1564 | but we will refine the <b style='mso-bidi-font-weight:normal'>histogram scale |
---|
1565 | factor (only)</b> on the <b style='mso-bidi-font-weight:normal'>Sample |
---|
1566 | Parameters</b>.<o:p></o:p></span></p> |
---|
1567 | |
---|
1568 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1569 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_34" o:spid="_x0000_i1060" |
---|
1570 | type="#_x0000_t75" style='width:391pt;height:177pt;visibility:visible; |
---|
1571 | mso-wrap-style:square'> |
---|
1572 | <v:imagedata src="FindProfParamCW_files/image071.png" o:title=""/> |
---|
1573 | </v:shape><![endif]--><![if !vml]><img border=0 width=393 height=179 |
---|
1574 | src="FindProfParamCW_files/image072.png" v:shapes="Picture_x0020_34"><![endif]></span><span |
---|
1575 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1576 | |
---|
1577 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1578 | |
---|
1579 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1580 | normal'>Calculate/Refine</b> menu item to start refinement.<span |
---|
1581 | style="mso-spacerun:yes"> </span>The program will prompt requesting a |
---|
1582 | name for the <span class=GramE>newly-created</span> .<span class=SpellE>gpx</span> |
---|
1583 | file. <o:p></o:p></span></p> |
---|
1584 | |
---|
1585 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1586 | |
---|
1587 | <p class=MsoNormal><span style='font-size:14.0pt'>The fit is not very good. <b |
---|
1588 | style='mso-bidi-font-weight:normal'>Clicking</b> on the histogram's (<b |
---|
1589 | style='mso-bidi-font-weight:normal'>PWDR</b>) data tree item and zooming in |
---|
1590 | shows that the <span class=GramE>tick are</span> not well aligned with the |
---|
1591 | peaks. This is due to sample displacement. <o:p></o:p></span></p> |
---|
1592 | |
---|
1593 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1594 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_40" o:spid="_x0000_i1061" |
---|
1595 | type="#_x0000_t75" style='width:419pt;height:309pt;visibility:visible; |
---|
1596 | mso-wrap-style:square'> |
---|
1597 | <v:imagedata src="FindProfParamCW_files/image073.png" o:title=""/> |
---|
1598 | </v:shape><![endif]--><![if !vml]><img border=0 width=421 height=311 |
---|
1599 | src="FindProfParamCW_files/image074.png" v:shapes="Picture_x0020_40"><![endif]></span><span |
---|
1600 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1601 | |
---|
1602 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1603 | |
---|
1604 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1605 | 2.6: Refine an additional Histogram Parameter<o:p></o:p></span></h3> |
---|
1606 | |
---|
1607 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1608 | |
---|
1609 | <p class=MsoNormal><span style='font-size:14.0pt'>The position of the sample is |
---|
1610 | never well determined in a Bragg-Brentano instrument, so the sample |
---|
1611 | displacement should always be varied. Click on <b style='mso-bidi-font-weight: |
---|
1612 | normal'>Sample Parameters </b>and turn on refinement of <b style='mso-bidi-font-weight: |
---|
1613 | normal'>Sample displacement</b>.<o:p></o:p></span></p> |
---|
1614 | |
---|
1615 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1616 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_41" o:spid="_x0000_i1062" |
---|
1617 | type="#_x0000_t75" style='width:338pt;height:192pt;visibility:visible; |
---|
1618 | mso-wrap-style:square'> |
---|
1619 | <v:imagedata src="FindProfParamCW_files/image075.png" o:title=""/> |
---|
1620 | </v:shape><![endif]--><![if !vml]><img border=0 width=340 height=194 |
---|
1621 | src="FindProfParamCW_files/image076.png" v:shapes="Picture_x0020_41"><![endif]></span><span |
---|
1622 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1623 | |
---|
1624 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1625 | |
---|
1626 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1627 | normal'>Calculate/Refine</b> menu item to start another refinement.<span |
---|
1628 | style="mso-spacerun:yes"> </span>Significant improvement is seen and even |
---|
1629 | more if <b style='mso-bidi-font-weight:normal'>Calculate/Refine</b> is used a |
---|
1630 | second time. <o:p></o:p></span></p> |
---|
1631 | |
---|
1632 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1633 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_42" o:spid="_x0000_i1063" |
---|
1634 | type="#_x0000_t75" style='width:425pt;height:315pt;visibility:visible; |
---|
1635 | mso-wrap-style:square'> |
---|
1636 | <v:imagedata src="FindProfParamCW_files/image077.png" o:title=""/> |
---|
1637 | </v:shape><![endif]--><![if !vml]><img border=0 width=427 height=317 |
---|
1638 | src="FindProfParamCW_files/image078.png" v:shapes="Picture_x0020_42"><![endif]></span><span |
---|
1639 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1640 | |
---|
1641 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1642 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_43" o:spid="_x0000_i1064" |
---|
1643 | type="#_x0000_t75" style='width:425pt;height:296pt;visibility:visible; |
---|
1644 | mso-wrap-style:square'> |
---|
1645 | <v:imagedata src="FindProfParamCW_files/image079.png" o:title=""/> |
---|
1646 | </v:shape><![endif]--><![if !vml]><img border=0 width=427 height=298 |
---|
1647 | src="FindProfParamCW_files/image080.png" v:shapes="Picture_x0020_43"><![endif]></span><span |
---|
1648 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1649 | |
---|
1650 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1651 | 2.6: Turn on Le Bail fitting<o:p></o:p></span></h3> |
---|
1652 | |
---|
1653 | <p class=MsoNormal><span style='font-size:14.0pt'>Part of the problem in the |
---|
1654 | fit is that the intensities are not well fit in the model. Rather than fitting |
---|
1655 | the few free structural parameters (x for B and <span class=SpellE>Uiso</span> |
---|
1656 | values), we will treat the intensities are arbitrary using Le Bail fitting. <span |
---|
1657 | class=GramE>This is done by clicking on the <b style='mso-bidi-font-weight: |
---|
1658 | normal'>Phase tree item</b></span> and the <b style='mso-bidi-font-weight:normal'>Data |
---|
1659 | tab</b> and <b style='mso-bidi-font-weight:normal'>setting</b> the <b |
---|
1660 | style='mso-bidi-font-weight:normal'>do <span class=SpellE>LeBail</span></b> |
---|
1661 | extraction flag.<o:p></o:p></span></p> |
---|
1662 | |
---|
1663 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1664 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_44" o:spid="_x0000_i1065" |
---|
1665 | type="#_x0000_t75" style='width:469pt;height:97pt;visibility:visible; |
---|
1666 | mso-wrap-style:square'> |
---|
1667 | <v:imagedata src="FindProfParamCW_files/image081.png" o:title=""/> |
---|
1668 | </v:shape><![endif]--><![if !vml]><img border=0 width=471 height=99 |
---|
1669 | src="FindProfParamCW_files/image082.png" v:shapes="Picture_x0020_44"><![endif]></span><span |
---|
1670 | style='font-size:14.0pt'><span style="mso-spacerun:yes"> </span><o:p></o:p></span></p> |
---|
1671 | |
---|
1672 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1673 | |
---|
1674 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1675 | normal'>Calculate/Refine</b> menu item to start another refinement.<span |
---|
1676 | style="mso-spacerun:yes"> </span>A warning message that "Steepest |
---|
1677 | Descents dominates" this is because a high degree of parameter correlation |
---|
1678 | occurs as the reflection intensities change. The fit does not improve very much |
---|
1679 | if <b style='mso-bidi-font-weight:normal'>Calculate/Refine</b> is used a second |
---|
1680 | time but the warning goes away. <o:p></o:p></span></p> |
---|
1681 | |
---|
1682 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'><o:p> </o:p></span></h3> |
---|
1683 | |
---|
1684 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1685 | 2.7: Fit Lattice<o:p></o:p></span></h3> |
---|
1686 | |
---|
1687 | <p class=MsoNormal><span style='font-size:14.0pt'>While this should not be |
---|
1688 | needed for a standard, it is clear by looking at the plots that peaks are still |
---|
1689 | not quite line up. In a less dense sample it might be reasonable to refine the |
---|
1690 | sample transparency, but here the only reasonable parameter is to refine the |
---|
1691 | lattice. On the <b style='mso-bidi-font-weight:normal'>Phase</b>'s <b |
---|
1692 | style='mso-bidi-font-weight:normal'>General</b> tab press the <b |
---|
1693 | style='mso-bidi-font-weight:normal'>Refine unit cell</b> control.<o:p></o:p></span></p> |
---|
1694 | |
---|
1695 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1696 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_46" o:spid="_x0000_i1066" |
---|
1697 | type="#_x0000_t75" style='width:354pt;height:129pt;visibility:visible; |
---|
1698 | mso-wrap-style:square'> |
---|
1699 | <v:imagedata src="FindProfParamCW_files/image083.png" o:title=""/> |
---|
1700 | </v:shape><![endif]--><![if !vml]><img border=0 width=356 height=131 |
---|
1701 | src="FindProfParamCW_files/image084.png" v:shapes="Picture_x0020_46"><![endif]></span><span |
---|
1702 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1703 | |
---|
1704 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1705 | normal'>Calculate/Refine</b> menu item to start another refinement and the |
---|
1706 | positioning of the peaks improves significantly. <o:p></o:p></span></p> |
---|
1707 | |
---|
1708 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1709 | 2.8: Fit <span class=SpellE>MicroStrain</span><o:p></o:p></span></h3> |
---|
1710 | |
---|
1711 | <p class=MsoNormal><span style='font-size:14.0pt'>The remaining major problem |
---|
1712 | is that we have not treated the sample broadening and LaB6 does have some <span |
---|
1713 | class=SpellE>microstrain</span>. That can be refined with the <b |
---|
1714 | style='mso-bidi-font-weight:normal'>Phase</b>'s <b style='mso-bidi-font-weight: |
---|
1715 | normal'>Data</b> tab with the <span class=SpellE>microstrain</span> control.<o:p></o:p></span></p> |
---|
1716 | |
---|
1717 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1718 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_45" o:spid="_x0000_i1067" |
---|
1719 | type="#_x0000_t75" style='width:729pt;height:104pt;visibility:visible; |
---|
1720 | mso-wrap-style:square'> |
---|
1721 | <v:imagedata src="FindProfParamCW_files/image085.png" o:title=""/> |
---|
1722 | </v:shape><![endif]--><![if !vml]><img border=0 width=731 height=106 |
---|
1723 | src="FindProfParamCW_files/image086.png" v:shapes="Picture_x0020_45"><![endif]></span><span |
---|
1724 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1725 | |
---|
1726 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1727 | |
---|
1728 | <p class=MsoNormal><span style='font-size:14.0pt'>Use the <b style='mso-bidi-font-weight: |
---|
1729 | normal'>Calculate/Refine</b> menu item to start another refinement. A second |
---|
1730 | refinement cycle brings the <span class=SpellE>Rw</span> to circa 5.8%. The fit |
---|
1731 | improves dramatically and <span class=SpellE>microstrain</span> refines to a |
---|
1732 | non-physical negative value. This is because our somewhat nave approach above |
---|
1733 | assumed no sample broadening. <o:p></o:p></span></p> |
---|
1734 | |
---|
1735 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1736 | |
---|
1737 | <p class=MsoNormal><i style='mso-bidi-font-style:normal'><span |
---|
1738 | style='font-size:14.0pt'>This shows why if you are planning to measure <span |
---|
1739 | class=SpellE>microstrain</span> and/or crystallite size quantitatively, you |
---|
1740 | should determine instrument profile using a Rietveld fit with a standard with known |
---|
1741 | values for the <span class=SpellE>microstrain</span> and size. Fix the size and |
---|
1742 | <span class=SpellE>microstrain</span> to the known values when fitting the data |
---|
1743 | from the standard. <o:p></o:p></span></i></p> |
---|
1744 | |
---|
1745 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1746 | 2.9: Additional Parameters<o:p></o:p></span></h3> |
---|
1747 | |
---|
1748 | <p class=MsoNormal><span style='font-size:14.0pt'>For these data, it appears |
---|
1749 | the ratio of Kalpha1 and Kalpha2 is not exactly the theoretical value of 0.5. |
---|
1750 | This can happen due to monochromator tuning. Allowing this to shift slightly by |
---|
1751 | including brings the <span class=SpellE>Rw</span> to circa 4.9%.<o:p></o:p></span></p> |
---|
1752 | |
---|
1753 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1754 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_47" o:spid="_x0000_i1068" |
---|
1755 | type="#_x0000_t75" style='width:277pt;height:88pt;visibility:visible; |
---|
1756 | mso-wrap-style:square'> |
---|
1757 | <v:imagedata src="FindProfParamCW_files/image087.png" o:title=""/> |
---|
1758 | </v:shape><![endif]--><![if !vml]><img border=0 width=279 height=90 |
---|
1759 | src="FindProfParamCW_files/image088.png" v:shapes="Picture_x0020_47"><![endif]></span><span |
---|
1760 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1761 | |
---|
1762 | <p class=MsoNormal><span style='font-size:14.0pt'>The fit is quite good without |
---|
1763 | fitting the instrumental profile terms: <o:p></o:p></span></p> |
---|
1764 | |
---|
1765 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1766 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_49" o:spid="_x0000_i1069" |
---|
1767 | type="#_x0000_t75" style='width:627pt;height:363pt;visibility:visible; |
---|
1768 | mso-wrap-style:square'> |
---|
1769 | <v:imagedata src="FindProfParamCW_files/image089.png" o:title=""/> |
---|
1770 | </v:shape><![endif]--><![if !vml]><img border=0 width=629 height=365 |
---|
1771 | src="FindProfParamCW_files/image090.png" v:shapes="Picture_x0020_49"><![endif]></span><span |
---|
1772 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1773 | |
---|
1774 | <p class=MsoNormal><span style='font-size:14.0pt'><o:p> </o:p></span></p> |
---|
1775 | |
---|
1776 | <h3><span style='font-size:14.0pt;mso-bidi-font-family:"Times New Roman"'>Step |
---|
1777 | 2.10: Profile Term Quality Check<o:p></o:p></span></h3> |
---|
1778 | |
---|
1779 | <p class=MsoNormal><span style='font-size:14.0pt'>The quality of the profile |
---|
1780 | parameters we previously fit can be demonstrated by turning off refinement of |
---|
1781 | the <span class=SpellE>microstrain</span> term and refining the U, V, W and X |
---|
1782 | & Y terms. This produces a small improvement in the fit (expected as one |
---|
1783 | fitting parameter as been replaced by 5), but the changes are very small, as |
---|
1784 | noted by the Instrument Parameter terms plot:<o:p></o:p></span></p> |
---|
1785 | |
---|
1786 | <p class=MsoNormal><span style='font-size:14.0pt;mso-fareast-language:EN-US; |
---|
1787 | mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_48" o:spid="_x0000_i1070" |
---|
1788 | type="#_x0000_t75" style='width:531pt;height:395pt;visibility:visible; |
---|
1789 | mso-wrap-style:square'> |
---|
1790 | <v:imagedata src="FindProfParamCW_files/image091.png" o:title=""/> |
---|
1791 | </v:shape><![endif]--><![if !vml]><img border=0 width=533 height=397 |
---|
1792 | src="FindProfParamCW_files/image092.png" v:shapes="Picture_x0020_48"><![endif]></span><span |
---|
1793 | style='font-size:14.0pt'><o:p></o:p></span></p> |
---|
1794 | |
---|
1795 | </div> |
---|
1796 | |
---|
1797 | </body> |
---|
1798 | |
---|
1799 | </html> |
---|