Changeset 4961
- Timestamp:
- Jun 17, 2021 11:46:44 AM (2 years ago)
- Location:
- Tutorials/2DTexture
- Files:
-
- 30 added
- 39 edited
Legend:
- Unmodified
- Added
- Removed
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Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II.htm
r4949 r4961 25 25 <o:Author>Von Dreele</o:Author> 26 26 <o:LastAuthor>Von Dreele, Robert B.</o:LastAuthor> 27 <o:Revision> 6</o:Revision>28 <o:TotalTime>2 779</o:TotalTime>27 <o:Revision>8</o:Revision> 28 <o:TotalTime>2953</o:TotalTime> 29 29 <o:Created>2021-06-08T17:35:00Z</o:Created> 30 <o:LastSaved>2021-06- 09T22:13:00Z</o:LastSaved>31 <o:Pages> 40</o:Pages>32 <o:Words>4 431</o:Words>33 <o:Characters>2 5257</o:Characters>30 <o:LastSaved>2021-06-17T16:44:00Z</o:LastSaved> 31 <o:Pages>1</o:Pages> 32 <o:Words>4709</o:Words> 33 <o:Characters>26844</o:Characters> 34 34 <o:Company>Argonne National Laboratory</o:Company> 35 <o:Lines>2 10</o:Lines>36 <o:Paragraphs> 59</o:Paragraphs>37 <o:CharactersWithSpaces> 29629</o:CharactersWithSpaces>35 <o:Lines>223</o:Lines> 36 <o:Paragraphs>62</o:Paragraphs> 37 <o:CharactersWithSpaces>31491</o:CharactersWithSpaces> 38 38 <o:Version>16.00</o:Version> 39 39 </o:DocumentProperties> … … 49 49 <w:WordDocument> 50 50 <w:View>Print</w:View> 51 <w:Zoom>188</w:Zoom> 51 52 <w:SpellingState>Clean</w:SpellingState> 52 53 <w:GrammarState>Clean</w:GrammarState> … … 727 728 font-weight:bold;} 728 729 h2 729 {mso-style-noshow:yes; 730 mso-style-priority:9; 730 {mso-style-priority:9; 731 731 mso-style-qformat:yes; 732 732 mso-style-link:"Heading 2 Char"; … … 1106 1106 span.Heading2Char 1107 1107 {mso-style-name:"Heading 2 Char"; 1108 mso-style-noshow:yes;1109 1108 mso-style-priority:9; 1110 1109 mso-style-unhide:no; … … 1636 1635 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image010.png" 1637 1636 v:shapes="_x0000_i1025"><![endif]></span><![endif]>coefficients is sufficient 1638 to describe the effect on the diffraction pattern sdue to texture. The crystal1637 to describe the effect on the diffraction pattern due to texture. The crystal 1639 1638 harmonic factor, <!--[if gte msEquation 12]><m:oMath><m:sSubSup><m:sSubSupPr><span 1640 1639 style='font-family:"Cambria Math",serif;mso-ascii-font-family:"Cambria Math"; … … 1686 1685 form of the sample. For example, in the case of a rolled steel plate having mmm 1687 1686 symmetry, the polar angle, <span style='font-family:Symbol'>y</span>, is 1688 frequently measured from the normal direction (ND) and <span style='font-family: 1689 Symbol'>g</span> is then measured from the rolling direction (RD) in the TD 1690 (transverse direction) - RD plane.<span style='mso-spacerun:yes'> </span>Thus, 1691 the general axis equation becomes</p> 1687 frequently measured from the normal direction (ND, parallel to K<sub>s</sub>) 1688 and <span style='font-family:Symbol'>g</span> is then measured from the rolling 1689 direction (RD, parallel to I<sub>s</sub>) in the TD (transverse direction, 1690 parallel to J<sub>s</sub>) - RD plane.<span style='mso-spacerun:yes'> 1691 </span>Thus, the general axis equation becomes</p> 1692 1692 1693 1693 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; … … 1750 1750 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 1751 1751 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 1752 id="_x0000_i1025" type="#_x0000_t75" style='width:32 0.95pt;height:54pt'>1752 id="_x0000_i1025" type="#_x0000_t75" style='width:321pt;height:54pt'> 1753 1753 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image013.png" 1754 1754 o:title="" chromakey="white"/> … … 1794 1794 J.<span style='mso-spacerun:yes'> </span>The zeros of these three sample 1795 1795 rotation angles can be refined as part of the Rietveld analysis to accommodate 1796 any angular offset in sample mounting. After including the diffraction angle, <span 1796 any angular offset in sample mounting. For the specific case of cylindrical 1797 sample symmetry, the cylinder axis is coincident with K<sub>s</sub> as is the 1798 2-fold in 2/m sample symmetry. After including the diffraction angle, <span 1797 1799 style='font-family:Symbol'>Q</span>, and a detector azimuthal angle, A, the 1798 1800 full rotation matrix, <b style='mso-bidi-font-weight:normal'>M</b>, is </p> … … 2240 2242 "Times New Roman";mso-fareast-theme-font:minor-fareast;mso-ansi-language:EN-US; 2241 2243 mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><!--[if gte vml 1]><v:shape 2242 id="_x0000_i1025" type="#_x0000_t75" style='width:423.7 pt;height:55.5pt'>2244 id="_x0000_i1025" type="#_x0000_t75" style='width:423.75pt;height:55.5pt'> 2243 2245 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image033.png" 2244 2246 o:title="" chromakey="white"/> … … 2479 2481 </v:shape><![endif]--><![if !vml]><img width=29 height=35 2480 2482 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image048.png" 2481 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample orientation2482 angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span2483 v:shapes="_x0000_i1025"><![endif]></span><![endif]>, and the three sample 2484 orientation angles, <span style='font-family:Symbol'>W</span><sub>s</sub>, <span 2483 2485 style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family:Symbol'>F</span><sub>s</sub>, 2484 2486 all of which can be adjustable parameters of the refinement. Once the … … 2569 2571 to accommodate the two possible uses of this correction. In one, a suite of 2570 2572 spherical harmonics coefficients is defined for the texture of a phase in the 2571 sample; this can have any of the possible sample symmetries and is the usual result2572 desired for texture analysis. The other is the suite of spherical harmonics 2573 terms for cylindrical sample symmetry for each phase in each powder pattern 2574 (histogram) and is usually used to accommodate preferred orientation effects 2575 in a Rietveld refinement. The former description allows refinement of the 2576 sample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>,2573 sample; this can have any of the possible sample symmetries and is the usual 2574 result desired for texture analysis. The other is the suite of spherical 2575 harmonics terms for cylindrical sample symmetry for each phase in each powder 2576 pattern (histogram) and is usually used to accommodate preferred orientation 2577 effects in a Rietveld refinement. The former description allows refinement of 2578 the sample orientation zeros, <span style='font-family:Symbol'>W</span><sub>s</sub>, 2577 2579 <span style='font-family:Symbol'>C</span><sub>s</sub>, <span style='font-family: 2578 Symbol'>F</span><sub>s</sub>, but the latter description does not (they are assumed2579 to be zero and not refinable). The sample orientation angles, (<span2580 Symbol'>F</span><sub>s</sub>, but the latter description does not (they are 2581 assumed to be zero and not refinable). The sample orientation angles, (<span 2580 2582 style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, 2581 2583 <span style='font-family:Symbol'>F) </span>are specified in the Sample 2582 2584 Parameters table in the GSAS-II data tree structure and are applied for either 2583 2585 description.</p> 2586 2587 <p class=MsoNormal>Some useful examples:</p> 2588 2589 <p class=MsoNormal>1) Bragg-Brentano laboratory powder diffractometer</p> 2590 2591 <p class=MsoNormal>The conventional arrangement of this experiment is to have a 2592 flat sample with incident and diffracted beams at equal angles (theta) on 2593 opposite sides of the sample. The sample is frequently spun about its normal to 2594 improve powder statistics and impose cylindrical symmetry on any preferred 2595 orientation (texture). Thus, the diffraction plane (source, diffraction vector 2596 & detector) contains the K-vector which is parallel to the diffraction 2597 vector and <a name="_Hlk74813217"><span style='font-family:Symbol'>W</span>, </a><span 2598 style='mso-bookmark:_Hlk74813217'><span style='font-family:Symbol'>C</span>, </span><span 2599 style='mso-bookmark:_Hlk74813217'><span style='font-family:Symbol'>F = 0.</span></span><span 2600 style='font-family:Symbol'><o:p></o:p></span></p> 2601 2602 <p class=MsoNormal><span style='font-family:Symbol'>2) </span>Debye-Scherrer 2603 diffractometer with point detector(s)</p> 2604 2605 <p class=MsoNormal>The usual arrangement here is to have a capillary sample 2606 perpendicular to the diffraction plane. The capillary may be spun about its 2607 cylinder axis for powder averaging and to impose cylindrical symmetry on the 2608 texture which is perpendicular to the diffraction plane. Thus, <span 2609 style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>F = 0</span> 2610 and <span style='font-family:Symbol'>C =90.</span></p> 2611 2612 <p class=MsoNormal>3) Debye-Scherrer diffractometer with 2D area detector</p> 2613 2614 <p class=MsoNormal>The area detector is presumed to be directly behind the 2615 sample with the incident beam somewhere near the center of the detector. The 2616 detector axes are defined (for a synchrotron) with the X-axis toward the 2617 synchrotron ring and the Y-axis vertical up; one views the detector image as 2618 if looking from the x-ray source. The sample is assumed to be a capillary 2619 (which may be spun to impose cylindrical symmetry), although other sample 2620 shapes may be used, and is aligned with the cylinder axis horizontal. Integration 2621 of the image from a series of caked slices gives a set of powder patterns, 2622 each assigned an azimuthal angle where zero is along the X-axis. Thus, this 2623 diffraction plane is horizontal and contains the cylinder axis so <span 2624 style='font-family:Symbol'>W</span>, <span style='font-family:Symbol'>C</span>, 2625 <span style='font-family:Symbol'>F = 0.</span></p> 2626 2627 <p class=MsoNormal><o:p> </o:p></p> 2584 2628 2585 2629 <p class=gsastext style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt; … … 2589 2633 (wire texture) as collected at APS on beam line 1ID-C (data kindly provided by 2590 2634 Paul Paradise & Aaron <span class=SpellE>Stebner</span> of Colo. School of 2591 Mines) . Thus, there are three ways within GSAS-II that can be used for this2592 texture analysis all beginning with the same 2D area detector image. Each will2593 be described in turn after the initial setup of the GSAS-II project, image2594 input & integration. </p>2635 Mines) with the sample mounted so the cylinder axis was vertical. Thus, there 2636 are three ways within GSAS-II that can be used for this texture analysis all 2637 beginning with the same 2D area detector image. Each will be described in turn 2638 after the initial setup of the GSAS-II project, image input & integration. </p> 2595 2639 2596 2640 <h2 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: … … 2629 2673 2630 2674 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 2631 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id=" Picture_x0020_59"2632 o:spid="_x0000_i1081" type="#_x0000_t75" alt="GSAS-II plots: <unnamed project>"2633 style='width:359.25pt;height:338.25pt;visibility:visible;mso-wrap-style:square'>2675 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="_x0000_i1081" type="#_x0000_t75" 2676 alt="GSAS-II plots: <unnamed project>" style='width:359.25pt;height:338.25pt; 2677 visibility:visible;mso-wrap-style:square'> 2634 2678 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image051.png" 2635 2679 o:title=" <unnamed project>"/> 2636 2680 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=451 2637 2681 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image052.png" 2638 alt="GSAS-II plots: <unnamed project>" v:shapes=" Picture_x0020_59"><![endif]></span></p>2682 alt="GSAS-II plots: <unnamed project>" v:shapes="_x0000_i1081"><![endif]></span></p> 2639 2683 2640 2684 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and the <b … … 2654 2698 2655 2699 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>The detector 2656 was previously <span class=GramE>calibrated</span> and the coefficients are 2657 stored in a file found by doing <span class=SpellE><b style='mso-bidi-font-weight: 2700 was previously calibrated, and the coefficients are stored in a file found by 2701 doing <span class=SpellE><b style='mso-bidi-font-weight:normal'><span 2702 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2703 mso-hansi-theme-font:minor-latin'>Parms</span></b></span><b style='mso-bidi-font-weight: 2658 2704 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2659 minor-latin;mso-hansi-theme-font:minor-latin'>Parms</span></b></span><b 2660 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2661 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>/Load 2662 Controls</span></b> from the <b style='mso-bidi-font-weight:normal'><span 2663 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2664 mso-hansi-theme-font:minor-latin'>Image Controls</span></b> menu. A file 2665 selection popup will appear showing <b style='mso-bidi-font-weight:normal'><span 2666 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2667 mso-hansi-theme-font:minor-latin'>NDC5.imctrl</span></b>; select it and press <b 2668 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2669 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Open</span></b>. 2670 The <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2705 minor-latin;mso-hansi-theme-font:minor-latin'>/Load Controls</span></b> from 2706 the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2671 2707 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Image 2672 Controls</span></b> window will be repainted with the new values and the image 2673 will be redrawn.</p> 2708 Controls</span></b> menu. A file selection popup will appear showing <b 2709 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2710 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>NDC5.imctrl</span></b>; 2711 select it and press <b style='mso-bidi-font-weight:normal'><span 2712 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2713 mso-hansi-theme-font:minor-latin'>Open</span></b>. The <b style='mso-bidi-font-weight: 2714 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2715 minor-latin;mso-hansi-theme-font:minor-latin'>Image Controls</span></b> window 2716 will be repainted with the new values and the image will be redrawn.</p> 2674 2717 2675 2718 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 2715 2758 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 2716 2759 minor-latin'>mm</span></b> symmetry so that the unique part of this intensity 2717 variation covers 0-90° of azimuth. In <span class=GramE>addition</span> the 2718 ring intensity variation is such that using 10° slices will capture it reasonably 2719 well. However, we want to include both 0° and 90° as slice centers. <span 2720 class=GramE>Thus</span> there will be 10 slices beginning at -5° and ending at 2721 95°. Check the <b style='mso-bidi-font-weight:normal'><span style='font-family: 2760 variation covers 0-90° of azimuth. In addition, the ring intensity variation is 2761 such that using 10° slices will capture it reasonably well. However, we want to 2762 include both 0° and 90° as slice centers. Thus, there will be 10 slices 2763 beginning at -5° and ending at 95°. Check the <b style='mso-bidi-font-weight: 2764 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2765 minor-latin;mso-hansi-theme-font:minor-latin'>Show integration limits?</span></b> 2766 box and uncheck the <b style='mso-bidi-font-weight:normal'><span 2767 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2768 mso-hansi-theme-font:minor-latin'>Do full integration? </span></b>box, enter <b 2769 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2770 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>10</span></b> 2771 in the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2772 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>No. azimuth 2773 bins</span></b>, enter <b style='mso-bidi-font-weight:normal'><span 2774 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2775 mso-hansi-theme-font:minor-latin'>-5</span></b> in the <b style='mso-bidi-font-weight: 2776 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2777 minor-latin;mso-hansi-theme-font:minor-latin'>Start azimuth</span></b> box (it 2778 will change to 355) and enter <b style='mso-bidi-font-weight:normal'><span 2779 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2780 mso-hansi-theme-font:minor-latin'>455</span></b> in the <b style='mso-bidi-font-weight: 2781 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2782 minor-latin;mso-hansi-theme-font:minor-latin'>End azimuth</span></b> box. In 2783 addition, recall that the sample was mounted vertically and thus is aligned 2784 with the defined laboratory I axis. Thus, the sample coordinate system needs to 2785 be rotated by 90° to match the sample axis with the K axis; this can be done by 2786 making the <b style='mso-bidi-font-weight:normal'><span style='font-family: 2722 2787 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 2723 minor-latin'>Show integration limits?</span></b> box and uncheck the <b 2724 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2725 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Do full 2726 integration? </span></b>box, enter <b style='mso-bidi-font-weight:normal'><span 2727 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2728 mso-hansi-theme-font:minor-latin'>10</span></b> in the <b style='mso-bidi-font-weight: 2788 minor-latin'>Sample goniometer axis Chi</span></b> = <b style='mso-bidi-font-weight: 2729 2789 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2730 minor-latin;mso-hansi-theme-font:minor-latin'>No. azimuth bins</span></b>, 2731 enter <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2732 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>-5</span></b> 2733 in the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2734 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Start 2735 azimuth</span></b> box (it will change to 355) and enter <b style='mso-bidi-font-weight: 2736 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 2737 minor-latin;mso-hansi-theme-font:minor-latin'>455</span></b> in the <b 2738 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2739 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>End azimuth</span></b> 2740 box. In addition, recall that the sample was mounted vertically and thus is 2741 aligned with the defined laboratory I axis. Thus, the sample coordinate system 2742 needs to be rotated by 90° to match the sample axis with the K axis; this can 2743 be done by making the <b style='mso-bidi-font-weight:normal'><span 2744 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2745 mso-hansi-theme-font:minor-latin'>Sample goniometer axis Chi</span></b> = <b 2746 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2747 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>90</span></b>. 2748 The plot will change with each entry and at the end should look like</p> 2790 minor-latin;mso-hansi-theme-font:minor-latin'>90</span></b>. The plot will 2791 change with each entry and at the end should look like</p> 2749 2792 2750 2793 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 2795 2838 threshold</span></b> to <b style='mso-bidi-font-weight:normal'><span 2796 2839 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2797 mso-hansi-theme-font:minor-latin'>2500</span></b>; the image will be redrawn reflecting2798 this mask. By zooming in you may see isolated red pixels; these are excluded 2799 points. Make sure the diffraction rings do not have any excluded points. For 2800 example, with the level set to 2200 the plot shows</p>2801 2802 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 2803 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 67"2804 o:spid="_x0000_i1074" type="#_x0000_t75" alt="GSAS-II plots: <unnamed project>"2805 style='width:35 7.75pt;height:336.75pt;visibility:visible;mso-wrap-style:square'>2840 mso-hansi-theme-font:minor-latin'>2500</span></b>; the image will be redrawn 2841 reflecting this mask. By zooming in you may see isolated red pixels; these are 2842 excluded points. Make sure the diffraction rings do not have any excluded 2843 points. For example, with the level set to 2200 the plot shows</p> 2844 2845 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span 2846 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_59" 2847 o:spid="_x0000_i1074" type="#_x0000_t75" alt="GSAS-II plots: NiTi.gpx" 2848 style='width:358.5pt;height:329.25pt;visibility:visible;mso-wrap-style:square'> 2806 2849 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image065.png" 2807 o:title=" <unnamed project>"/>2808 </v:shape><![endif]--><![if !vml]><img border=0 width=47 7 height=4492850 o:title=" NiTi"/> 2851 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=439 2809 2852 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image066.png" 2810 alt="GSAS-II plots: <unnamed project>" v:shapes="Picture_x0020_67"><![endif]></span></p>2853 alt="GSAS-II plots: NiTi.gpx" v:shapes="Picture_x0020_59"><![endif]></span></p> 2811 2854 2812 2855 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>for one ring. … … 2989 3032 histogram has a set of parameters (e.g. phase fraction, size, mustrain & 2990 3033 hydrostatic strain) in addition to the ones for each histogram (e.g. background 2991 & scale factor). <span class=GramE>Consequently</span> the total number of2992 parameters can build up very quickly in this method of analysis. The other two 2993 methods seek to reduce this problem by splitting the fitting into a sequential 2994 refinement (histogramby histogram) step followed by a texture fitting step.</p>3034 & scale factor). Consequently, the total number of parameters can build up 3035 very quickly in this method of analysis. The other two methods seek to reduce 3036 this problem by splitting the fitting into a sequential refinement (histogram 3037 by histogram) step followed by a texture fitting step.</p> 2995 3038 2996 3039 <h3 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: … … 3007 3050 that Goniometer chi is set to 90; that came from the same entry in the Image 3008 3051 Controls during integration. Also, if you chose other than the 1<sup>st</sup> 3009 PWDR data set the Detector azimuth will be some nonzero value; that is also3052 PWDR data set, the Detector azimuth will be some nonzero value; that is also 3010 3053 reflected in the name assigned to the histogram (e.g. <b style='mso-bidi-font-weight: 3011 3054 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: … … 3247 3290 3248 3291 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>It is evident 3249 that there <span class=GramE>remains</span> intensity differences due to 3250 texture. We can increase the harmonic order to more closely fit these, however 3251 one should only do this carefully. Select the Texture tab for the B2 phase; the 3252 Texture tab will show</p> 3292 that there remain intensity differences due to texture. We can increase the 3293 harmonic order to more closely fit these, however one should do this carefully. 3294 Select the <b><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3295 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Texture</span></b> 3296 tab for the B2 phase; the Texture tab will show</p> 3253 3297 3254 3298 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3265 3309 of the <span class=GramE>001 pole</span> figure will be drawn. This is the very 3266 3310 typical <span class=GramE>bulls</span> eye for cylindrical texture; of much 3267 more use is an inverse pole figure. Select that from the Texture plot type; the 3268 plot will be redrawn</p> 3311 more use is an inverse pole figure. Select that from the <b><span 3312 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3313 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Texture plot 3314 type</span></b>; the plot will be redrawn</p> 3269 3315 3270 3316 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3279 3325 3280 3326 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This shows the 3281 probability of reflection vectors coinciding with the sample wire axis the high3282 spots are the 111 family of reflections. We should try the next higher Harmonic3327 probability of reflection vectors coinciding with the sample wire axis; the 3328 high spots are the 111 family of reflections. We should try the next higher harmonic 3283 3329 order (10). </p> 3284 3330 3285 3331 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Next go to the 3286 Texture tab for the B19 phase. Again, a bullseye pole figure is drawn; change 3287 that to an Inverse pole figure.</p> 3332 <b><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3333 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Texture</span></b> 3334 tab for the B19 phase. Again, a bullseye pole figure is drawn; change that to 3335 an Inverse pole figure.</p> 3288 3336 3289 3337 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3300 3348 very strongly textured (the cursor shows 12-13 MRD at the peaks) along the -140 3301 3349 direction. Again, we want to increment the Harmonic order to the next higher 3302 level (8). Again, do Calculate/Refine from the main menu; the <span 3350 level (8). Again, do <b><span style='font-family:"Calibri",sans-serif; 3351 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3352 minor-latin'>Calculate/Refine</span></b> from the main menu; the <span 3303 3353 class=SpellE>Rwp</span> has dropped to ~10.4%. One can add the atom <span 3304 3354 class=SpellE>Uiso</span> for the Ni and <span class=SpellE>Ti</span> atoms in … … 3318 3368 o:spid="_x0000_i1056" type="#_x0000_t75" alt="GSAS-II project: NiTi-A.gpx" 3319 3369 style='width:5in;height:199.5pt;visibility:visible;mso-wrap-style:square'> 3320 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image10 2.png"3370 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image101.png" 3321 3371 o:title=" NiTi-A"/> 3322 3372 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=266 3323 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image10 4.png"3373 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image102.png" 3324 3374 alt="GSAS-II project: NiTi-A.gpx" v:shapes="Picture_x0020_90"><![endif]></span></p> 3325 3375 … … 3331 3381 o:spid="_x0000_i1055" type="#_x0000_t75" alt="GSAS-II plots: NiTi-A.gpx" 3332 3382 style='width:5in;height:339pt;visibility:visible;mso-wrap-style:square'> 3333 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image10 6.png"3383 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image103.png" 3334 3384 o:title=" NiTi-A"/> 3335 3385 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=452 3336 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image10 8.png"3386 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image104.png" 3337 3387 alt="GSAS-II plots: NiTi-A.gpx" v:shapes="Picture_x0020_91"><![endif]></span></p> 3338 3388 … … 3344 3394 o:spid="_x0000_i1054" type="#_x0000_t75" alt="GSAS-II project: NiTi-A.gpx" 3345 3395 style='width:5in;height:142.5pt;visibility:visible;mso-wrap-style:square'> 3346 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 10.png"3396 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image105.png" 3347 3397 o:title=" NiTi-A"/> 3348 3398 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=190 3349 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 12.png"3399 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image106.png" 3350 3400 alt="GSAS-II project: NiTi-A.gpx" v:shapes="Picture_x0020_92"><![endif]></span></p> 3351 3401 … … 3357 3407 o:spid="_x0000_i1053" type="#_x0000_t75" alt="GSAS-II plots: NiTi-A.gpx" 3358 3408 style='width:358.5pt;height:337.5pt;visibility:visible;mso-wrap-style:square'> 3359 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 14.png"3409 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image107.png" 3360 3410 o:title=" NiTi-A"/> 3361 3411 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=450 3362 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 16.png"3412 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image108.png" 3363 3413 alt="GSAS-II plots: NiTi-A.gpx" v:shapes="Picture_x0020_93"><![endif]></span></p> 3364 3414 3365 3415 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This completes 3366 the tutorial on Method A for doing texture analysis. It is useful for a case like3367 this one where there are very few data sets required for the texture analysis. 3368 However, for the case of lower sample symmetry one must several dozen or even a 3369 few hundred histograms and then the suite of parameters can easily be > 1000 3370 of which only a few dozen describe the texture. This leads to the next Methods 3371 for texture analysis in GSAS-II.</p>3416 the tutorial on Method A for doing texture analysis. It is useful for a case 3417 like this one where there are very few data sets required for the texture 3418 analysis. However, for the case of lower sample symmetry one must several dozen 3419 or even a few hundred histograms and then the suite of parameters can easily be 3420 > 1000 of which only a few dozen describe the texture. This leads to the 3421 next Methods for texture analysis in GSAS-II.</p> 3372 3422 3373 3423 <h2 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: … … 3379 3429 3380 3430 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This begins 3381 the texture analysis in much the same way as Method A except that all the 3382 initial refinements are done sequentially, that is refinements are done for 3383 theparameters associated with each powder pattern to convergence in a serial3431 the texture analysis in much the same way as Method A except that all the initial 3432 refinements are done sequentially, that is refinements are done for the 3433 parameters associated with each powder pattern to convergence in a serial 3384 3434 fashion. In this case where there are 10 PWDR data sets, there will be 10 3385 3435 refinements done in sequence. Parameters that span all the data (e.g. lattice … … 3475 3525 o:spid="_x0000_i1052" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx" 3476 3526 style='width:360.75pt;height:183pt;visibility:visible;mso-wrap-style:square'> 3477 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 18.png"3527 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image109.png" 3478 3528 o:title=" NiTi-B"/> 3479 3529 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=244 3480 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 20.png"3530 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image110.png" 3481 3531 alt="GSAS-II project: NiTi-B.gpx" v:shapes="Picture_x0020_94"><![endif]></span></p> 3482 3532 … … 3501 3551 o:spid="_x0000_i1051" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3502 3552 style='width:360.75pt;height:183pt;visibility:visible;mso-wrap-style:square'> 3503 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 22.png"3553 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image111.png" 3504 3554 o:title=" NiTi-B"/> 3505 3555 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=244 3506 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 24.png"3556 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image112.png" 3507 3557 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_95"><![endif]></span></p> 3508 3558 … … 3531 3581 o:spid="_x0000_i1050" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3532 3582 style='width:357.75pt;height:108.75pt;visibility:visible;mso-wrap-style:square'> 3533 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 26.png"3583 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image113.png" 3534 3584 o:title=" NiTi-B"/> 3535 3585 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=145 3536 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 28.png"3586 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image114.png" 3537 3587 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_96"><![endif]></span></p> 3538 3588 3539 3589 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>There is a row 3540 for each data set and columns for all refined parameters and some derived ones along3541 with residual and convergence indicators. The residuals are not very good (we 3542 havent really refined much) but the Δχ<sup>2</sup> column shows that 3543 convergence was achieved (NB: poor convergence will be highlighted in yellow or 3544 red depending on how bad it is).</p>3590 for each data set and columns for all refined parameters and some derived ones 3591 along with residual and convergence indicators. The residuals are not very good 3592 (we havent really refined much) but the Δχ<sup>2</sup> column shows 3593 that convergence was achieved (NB: poor convergence will be highlighted in 3594 yellow or red depending on how bad it is).</p> 3545 3595 3546 3596 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>If you examine 3547 one of the PWDR entries, youll see that just in this point in Method A much of3548 the misfit is texture and perhaps peak position.</p>3597 one of the PWDR entries, youll see that as at the same point in Method A much 3598 of the misfit is texture and perhaps peak position.</p> 3549 3599 3550 3600 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3552 3602 o:spid="_x0000_i1049" type="#_x0000_t75" alt="GSAS-II plots: NiTi-B.gpx" 3553 3603 style='width:357.75pt;height:336.75pt;visibility:visible;mso-wrap-style:square'> 3554 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 30.png"3604 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image115.png" 3555 3605 o:title=" NiTi-B"/> 3556 3606 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=449 3557 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 32.png"3607 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image116.png" 3558 3608 alt="GSAS-II plots: NiTi-B.gpx" v:shapes="Picture_x0020_97"><![endif]></span></p> 3559 3609 … … 3565 3615 o:spid="_x0000_i1048" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3566 3616 style='width:357.75pt;height:300pt;visibility:visible;mso-wrap-style:square'> 3567 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 33.png"3617 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image117.png" 3568 3618 o:title=" NiTi-B"/> 3569 3619 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=400 3570 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 35.png"3620 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image118.png" 3571 3621 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_98"><![endif]></span></p> 3572 3622 … … 3579 3629 minor-latin'>Harmonic order</span></b> to <b style='mso-bidi-font-weight:normal'><span 3580 3630 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3581 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>6</span></b> 3582 and check the <b style='mso-bidi-font-weight:normal'><span style='font-family: 3631 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>6</span></b> and 3632 check the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3633 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3634 minor-latin'>Refine</span></b> box for it (Preferred orientation). Then in two 3635 steps, first do <b style='mso-bidi-font-weight:normal'><span style='font-family: 3583 3636 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 3584 minor-latin;mso-bidi-theme-font:minor-latin'>Refine</span></b> box for it 3585 (Preferred orientation). Then in two steps, do <b style='mso-bidi-font-weight: 3586 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3587 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Edit 3588 Phase/Copy flags</span></b> and <b style='mso-bidi-font-weight:normal'><span 3589 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3590 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Set All</span></b> 3591 for the file selection. Then do <b style='mso-bidi-font-weight:normal'><span 3592 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3593 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Edit 3594 Phase/Copy selected data</span></b>; that will bring up a new popup</p> 3637 minor-latin;mso-bidi-theme-font:minor-latin'>Edit Phase/Copy flags</span></b> 3638 and <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3639 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3640 minor-latin'>Set All</span></b> for the file selection. Then do <b 3641 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3642 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3643 minor-latin'>Edit Phase/Copy selected data</span></b>; that will bring up a new 3644 popup</p> 3595 3645 3596 3646 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3598 3648 o:spid="_x0000_i1047" type="#_x0000_t75" alt="Select phase data parameters" 3599 3649 style='width:241.5pt;height:316.5pt;visibility:visible;mso-wrap-style:square'> 3600 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 37.png"3650 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image119.png" 3601 3651 o:title="Select phase data parameters"/> 3602 3652 </v:shape><![endif]--><![if !vml]><img border=0 width=322 height=422 3603 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 37.png"3653 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image119.png" 3604 3654 alt="Select phase data parameters" v:shapes="Picture_x0020_99"><![endif]></span></p> 3605 3655 … … 3608 3658 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3609 3659 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3610 minor-latin'>Pref. Ori.</span></b> And press <b style='mso-bidi-font-weight:3660 minor-latin'>Pref. Ori.</span></b> and press <b style='mso-bidi-font-weight: 3611 3661 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3612 3662 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>OK</span></b>; … … 3636 3686 o:spid="_x0000_i1046" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3637 3687 style='width:357.75pt;height:321pt;visibility:visible;mso-wrap-style:square'> 3638 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 39.png"3688 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image120.png" 3639 3689 o:title=" NiTi-B"/> 3640 3690 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=428 3641 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 41.png"3691 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image121.png" 3642 3692 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_100"><![endif]></span></p> 3643 3693 … … 3653 3703 o:spid="_x0000_i1045" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3654 3704 style='width:357.75pt;height:87.75pt;visibility:visible;mso-wrap-style:square'> 3655 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 43.png"3705 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image122.png" 3656 3706 o:title=" NiTi-B"/> 3657 3707 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=117 3658 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 45.png"3708 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image123.png" 3659 3709 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_101"><![endif]></span></p> 3660 3710 3661 3711 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>It is probably 3662 best to do another round of sequential refinement (I had to do two) to get convergence.3663 A plot of one PWDR entry gives</p>3712 best to do another round of sequential refinement (I had to do two) to get 3713 convergence. A plot of one PWDR entry gives</p> 3664 3714 3665 3715 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3667 3717 o:spid="_x0000_i1044" type="#_x0000_t75" alt="GSAS-II plots: NiTi-B.gpx" 3668 3718 style='width:358.5pt;height:337.5pt;visibility:visible;mso-wrap-style:square'> 3669 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 47.png"3719 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image124.png" 3670 3720 o:title=" NiTi-B"/> 3671 3721 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=450 3672 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 49.png"3722 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image125.png" 3673 3723 alt="GSAS-II plots: NiTi-B.gpx" v:shapes="Picture_x0020_102"><![endif]></span></p> 3674 3724 3675 3725 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>As our 3676 3726 experience in Method A, the calculated peaks are too sharp. We need to vary the 3677 mustrain parameters for both phases. Go to the Data tab for each phase, check 3678 the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span 3727 mustrain parameters for both phases. Go to the <b><span style='font-family: 3728 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 3729 minor-latin;mso-bidi-theme-font:minor-latin'>Data</span></b> tab for each 3730 phase, check the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span 3679 3731 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3680 3732 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>microstrain</span></b></span> … … 3695 3747 o:spid="_x0000_i1043" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3696 3748 style='width:5in;height:88.5pt;visibility:visible;mso-wrap-style:square'> 3697 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 51.png"3749 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image126.png" 3698 3750 o:title=" NiTi-B"/> 3699 3751 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=118 3700 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 53.png"3752 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image127.png" 3701 3753 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_103"><![endif]></span></p> 3702 3754 … … 3709 3761 o:spid="_x0000_i1042" type="#_x0000_t75" alt="GSAS-II plots: NiTi-B.gpx" 3710 3762 style='width:358.5pt;height:337.5pt;visibility:visible;mso-wrap-style:square'> 3711 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 55.png"3763 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image128.png" 3712 3764 o:title=" NiTi-B"/> 3713 3765 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=450 3714 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 57.png"3766 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image129.png" 3715 3767 alt="GSAS-II plots: NiTi-B.gpx" v:shapes="Picture_x0020_104"><![endif]></span></p> 3716 3768 3717 3769 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Showing that 3718 perhaps the B19 phase needs high order spherical harmonics. Select the Data 3770 perhaps the B19 phase needs high order spherical harmonics. Select the <b><span 3771 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3772 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Data</span></b> 3719 3773 tab for the B19 phase and change the <b style='mso-bidi-font-weight:normal'><span 3720 3774 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; … … 3738 3792 o:spid="_x0000_i1041" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3739 3793 style='width:5in;height:88.5pt;visibility:visible;mso-wrap-style:square'> 3740 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 59.png"3794 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image130.png" 3741 3795 o:title=" NiTi-B"/> 3742 3796 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=118 3743 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 61.png"3797 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image131.png" 3744 3798 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_105"><![endif]></span></p> 3745 3799 … … 3755 3809 parameters (<span class=SpellE>Dij</span>) for peak position shifts and <span 3756 3810 class=SpellE>microstrain</span> for peak shape. We modeled the intensity 3757 variation with a <span class=GramE>spherical harmonics</span> preferred orientation 3758 correction. If you select any PWDR entry from the GSAS-II data tree and pick 3759 the Reflection List subentry (at the bottom) you can see the magnitude of this 3811 variation with a <span class=GramE>spherical harmonics</span> preferred 3812 orientation correction. If you select any PWDR entry from the GSAS-II data tree 3813 and pick the <b><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3814 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Reflection 3815 List</span></b> subentry (at the bottom) you can see the magnitude of this 3760 3816 correction for each reflection in each phase.</p> 3761 3817 … … 3767 3823 o:spid="_x0000_i1040" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3768 3824 style='width:357.75pt;height:96pt;visibility:visible;mso-wrap-style:square'> 3769 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 62.png"3825 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image132.png" 3770 3826 o:title=" NiTi-B"/> 3771 3827 </v:shape><![endif]--><![if !vml]><img border=0 width=477 height=128 3772 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 63.png"3828 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image133.png" 3773 3829 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_106"><![endif]></span></p> 3774 3830 … … 3780 3836 o:spid="_x0000_i1039" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3781 3837 style='width:468pt;height:160.5pt;visibility:visible;mso-wrap-style:square'> 3782 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 65.png"3838 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image134.png" 3783 3839 o:title=" NiTi-B"/> 3784 3840 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=214 3785 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 66.png"3841 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image135.png" 3786 3842 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_107"><![endif]></span></p> 3787 3843 3788 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>The preferred 3789 orientation correction is <span class=SpellE>Prfo</span>; notice a few entries in 3790 red. These are nonphysical correction values (the correction cant be negative) 3791 but by in large these are small. This next step uses these corrections as input 3792 data for a texture refinement. To start select the Texture tab for the B2 3793 phase; youll see</p> 3844 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>The preferred orientation 3845 correction is <span class=SpellE>Prfo</span>; notice a few entries in red. 3846 These are nonphysical correction values (physically, the correction cant be 3847 negative) but by in large these are small. This next step uses these 3848 corrections as input data for a texture refinement. To start select the <b><span 3849 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3850 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Texture</span></b> 3851 tab for the B2 phase; youll see</p> 3794 3852 3795 3853 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3797 3855 o:spid="_x0000_i1038" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3798 3856 style='width:360.75pt;height:124.5pt;visibility:visible;mso-wrap-style:square'> 3799 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 67.png"3857 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image136.png" 3800 3858 o:title=" NiTi-B"/> 3801 3859 </v:shape><![endif]--><![if !vml]><img border=0 width=481 height=166 3802 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 69.png"3860 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image137.png" 3803 3861 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_108"><![endif]></span></p> 3804 3862 … … 3825 3883 o:spid="_x0000_i1037" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3826 3884 style='width:358.5pt;height:151.5pt;visibility:visible;mso-wrap-style:square'> 3827 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 70.png"3885 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image138.png" 3828 3886 o:title=" NiTi-B"/> 3829 3887 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=202 3830 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 71.png"3888 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image139.png" 3831 3889 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_109"><![endif]></span></p> 3832 3890 … … 3835 3893 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3836 3894 minor-latin'>Texture/Refine texture</span></b> from the menu; the window will 3837 be <span class=GramE>repainted</span> and a bullseye pole figure will appear. 3838 Change the <b style='mso-bidi-font-weight:normal'><span style='font-family: 3839 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 3840 minor-latin;mso-bidi-theme-font:minor-latin'>Texture plot type</span></b> to <b 3895 be repainted, and a bullseye pole figure will appear. Change the <b 3841 3896 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3842 3897 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 3843 minor-latin'>Inverse pole figure</span></b> to get a more useful plot<span 3844 style='mso-no-proof:yes'><o:p></o:p></span></p> 3898 minor-latin'>Texture plot type</span></b> to <b style='mso-bidi-font-weight: 3899 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3900 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Inverse 3901 pole figure</span></b> to get a more useful plot<span style='mso-no-proof:yes'><o:p></o:p></span></p> 3845 3902 3846 3903 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 3848 3905 o:spid="_x0000_i1036" type="#_x0000_t75" alt="GSAS-II plots: NiTi-B.gpx" 3849 3906 style='width:358.5pt;height:337.5pt;visibility:visible;mso-wrap-style:square'> 3850 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 73.png"3907 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image140.png" 3851 3908 o:title=" NiTi-B"/> 3852 3909 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=450 3853 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 74.png"3910 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image141.png" 3854 3911 alt="GSAS-II plots: NiTi-B.gpx" v:shapes="Picture_x0020_110"><![endif]></span></p> 3855 3912 … … 3859 3916 3860 3917 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Now select the 3861 Texture tab for the B19 phase and do the same; use <b style='mso-bidi-font-weight: 3918 <b><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3919 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Texture</span></b> 3920 tab for the B19 phase and do the same; use <b style='mso-bidi-font-weight: 3862 3921 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3863 3922 minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Harmonic … … 3871 3930 o:spid="_x0000_i1035" type="#_x0000_t75" alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" 3872 3931 style='width:5in;height:192.75pt;visibility:visible;mso-wrap-style:square'> 3873 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 75.png"3932 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image142.png" 3874 3933 o:title=" NiTi-B"/> 3875 3934 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=257 3876 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 77.png"3935 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image143.png" 3877 3936 alt="GSAS-II project: NiTi-B.gpx (sequential refinement)" v:shapes="Picture_x0020_111"><![endif]></span></p> 3878 3937 … … 3884 3943 o:spid="_x0000_i1034" type="#_x0000_t75" alt="GSAS-II plots: NiTi-B.gpx" 3885 3944 style='width:358.5pt;height:337.5pt;visibility:visible;mso-wrap-style:square'> 3886 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 79.png"3945 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image144.png" 3887 3946 o:title=" NiTi-B"/> 3888 3947 </v:shape><![endif]--><![if !vml]><img border=0 width=478 height=450 3889 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 80.png"3948 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image145.png" 3890 3949 alt="GSAS-II plots: NiTi-B.gpx" v:shapes="Picture_x0020_112"><![endif]></span></p> 3891 3950 … … 3908 3967 3909 3968 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>This uses the 3910 same approach as Method B except that after the sequential refinements are <span 3911 class=GramE>finished</span> we then fix almost all the parameters and then do a 3912 final texture refinement with all the data. Thus, this is a replacement for 3913 Step 2 in Method B. To begin do <b style='mso-bidi-font-weight:normal'><span 3914 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3915 mso-hansi-theme-font:minor-latin'>File/Open project 3916 </span></b> for the <span 3917 class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: 3969 same approach as Method B except that after the sequential refinements are 3970 finished, we then fix almost all the parameters and then do a final texture 3971 refinement with all the data. Thus, this is a replacement for Step 2 in Method 3972 B. To begin do <b style='mso-bidi-font-weight:normal'><span style='font-family: 3918 3973 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 3919 minor-latin'>NiTi-B.gpx</span></b></span> file created in Method B and then do 3920 a <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3921 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>File/Save 3922 project as 3923 </span></b> to save it as <span class=SpellE><b style='mso-bidi-font-weight: 3974 minor-latin'>File/Open project 3975 </span></b> for the <span class=SpellE><b 3976 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3977 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>NiTi-B.gpx</span></b></span> 3978 file created in Method B and then do a <b style='mso-bidi-font-weight:normal'><span 3979 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3980 mso-hansi-theme-font:minor-latin'>File/Save project as 3981 </span></b> to save it 3982 as <span class=SpellE><b style='mso-bidi-font-weight:normal'><span 3983 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3984 mso-hansi-theme-font:minor-latin'>NiTi</span></b></span><b style='mso-bidi-font-weight: 3924 3985 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 3925 minor-latin;mso-hansi-theme-font:minor-latin'>NiTi</span></b></span><b 3926 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3927 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>-C</span></b>. 3928 This renames the project and it should have one IMG, 10 PWDR entries and two 3929 phases of <span class=SpellE>NiTi</span> (B2 and B19).</p> 3986 minor-latin;mso-hansi-theme-font:minor-latin'>-C</span></b>. This renames the 3987 project and it should have one IMG, 10 PWDR entries and two phases of <span 3988 class=SpellE>NiTi</span> (B2 and B19).</p> 3930 3989 3931 3990 <h3 style='margin-top:0in;margin-right:0in;margin-bottom:12.0pt;margin-left: … … 3944 4003 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3945 4004 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Background</span></b>: 3946 as the background was fit during the sequential <span class=GramE>refinement</span>3947 we should fix it here. Select any <b style='mso-bidi-font-weight:normal'><span 3948 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3949 m so-hansi-theme-font:minor-latin'>PWDR</span></b> entry and choose the <b3950 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 3951 m so-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Background</span></b>3952 subentryfor it. Clear the <b style='mso-bidi-font-weight:normal'><span4005 as the background was fit during the sequential refinement, we should fix it 4006 here. Select any <b style='mso-bidi-font-weight:normal'><span style='font-family: 4007 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 4008 minor-latin'>PWDR</span></b> entry and choose the <b style='mso-bidi-font-weight: 4009 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 4010 minor-latin;mso-hansi-theme-font:minor-latin'>Background</span></b> subentry 4011 for it. Clear the <b style='mso-bidi-font-weight:normal'><span 3953 4012 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 3954 4013 mso-hansi-theme-font:minor-latin'>Refine</span></b> flags and the do <b … … 4044 4103 id="Picture_x0020_113" o:spid="_x0000_i1033" type="#_x0000_t75" alt="GSAS-II project: NiTi-C.gpx (sequential refinement)" 4045 4104 style='width:345pt;height:142.5pt;visibility:visible;mso-wrap-style:square'> 4046 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 81.png"4105 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image146.png" 4047 4106 o:title=" NiTi-C"/> 4048 4107 </v:shape><![endif]--><![if !vml]><img border=0 width=460 height=190 4049 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 83.png"4108 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image147.png" 4050 4109 alt="GSAS-II project: NiTi-C.gpx (sequential refinement)" v:shapes="Picture_x0020_113"><![endif]></span></p> 4051 4110 … … 4067 4126 id="Picture_x0020_114" o:spid="_x0000_i1032" type="#_x0000_t75" alt="GSAS-II project: NiTi-C.gpx (sequential refinement)" 4068 4127 style='width:345.75pt;height:143.25pt;visibility:visible;mso-wrap-style:square'> 4069 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 84.png"4128 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image148.png" 4070 4129 o:title=" NiTi-C"/> 4071 4130 </v:shape><![endif]--><![if !vml]><img border=0 width=461 height=191 4072 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 85.png"4131 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image149.png" 4073 4132 alt="GSAS-II project: NiTi-C.gpx (sequential refinement)" v:shapes="Picture_x0020_114"><![endif]></span></p> 4074 4133 … … 4097 4156 4098 4157 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>To clear the 4099 sequential refinement set up, select Controls from the main data tree.</p> 4158 sequential refinement set up, select <b><span style='font-family:"Calibri",sans-serif; 4159 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 4160 minor-latin'>Controls</span></b> from the main data tree.</p> 4100 4161 4101 4162 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 4103 4164 o:spid="_x0000_i1031" type="#_x0000_t75" alt="GSAS-II project: NiTi-C.gpx (sequential refinement)" 4104 4165 style='width:357pt;height:190.5pt;visibility:visible;mso-wrap-style:square'> 4105 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 87.png"4166 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image150.png" 4106 4167 o:title=" NiTi-C"/> 4107 4168 </v:shape><![endif]--><![if !vml]><img border=0 width=476 height=254 4108 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 88.png"4169 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image151.png" 4109 4170 alt="GSAS-II project: NiTi-C.gpx (sequential refinement)" v:shapes="Picture_x0020_115"><![endif]></span></p> 4110 4171 4111 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Then do 4112 Reselect datasets, a popup window will appear</p> 4172 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Then do <b><span 4173 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 4174 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Reselect 4175 datasets</span></b>, a popup window will appear</p> 4113 4176 4114 4177 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 4116 4179 o:spid="_x0000_i1030" type="#_x0000_t75" alt="Sequential refinement selection" 4117 4180 style='width:263.25pt;height:316.5pt;visibility:visible;mso-wrap-style:square'> 4118 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 89.png"4181 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image152.png" 4119 4182 o:title="Sequential refinement selection"/> 4120 4183 </v:shape><![endif]--><![if !vml]><img border=0 width=351 height=422 4121 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 89.png"4184 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image152.png" 4122 4185 alt="Sequential refinement selection" v:shapes="Picture_x0020_116"><![endif]></span></p> 4123 4186 4124 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Do Toggle All 4125 to clear the check marks and press OK. The Controls will no longer show how 4126 many data sets are used in a sequential refinement.</p> 4187 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>Do <b><span 4188 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 4189 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Toggle All</span></b> 4190 to clear the check marks and press <b><span style='font-family:"Calibri",sans-serif; 4191 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 4192 minor-latin'>OK</span></b>. The Controls will no longer show how many data sets 4193 are used in a sequential refinement.</p> 4127 4194 4128 4195 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 4130 4197 o:spid="_x0000_i1029" type="#_x0000_t75" alt="GSAS-II project: NiTi-C.gpx" 4131 4198 style='width:5in;height:186pt;visibility:visible;mso-wrap-style:square'> 4132 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 91.png"4199 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image153.png" 4133 4200 o:title=" NiTi-C"/> 4134 4201 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=248 4135 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 92.png"4202 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image154.png" 4136 4203 alt="GSAS-II project: NiTi-C.gpx" v:shapes="Picture_x0020_117"><![endif]></span></p> 4137 4204 … … 4141 4208 from the main menu; it will be a combined refinement on texture parameters.</p> 4142 4209 4143 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>In this case 4144 you do want to do a nonsequential full refinement, so press the <b 4145 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 4146 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: 4147 minor-latin'>OK</span></b> button. A quick look at the console will show that 4148 there are 61 variables in this refinement. If yours shows more then you didnt 4149 clear all the flags in Step 1. The <b style='mso-bidi-font-weight:normal'><span 4150 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 4151 mso-hansi-theme-font:minor-latin'>Sequential results</span></b> entry is 4152 deleted from the GSAS-II data tree. A progress bar will show giving the 4153 residuals during the refinement. When finished, select the <b style='mso-bidi-font-weight: 4154 normal'><span style='font-family:"Calibri",sans-serif;mso-ascii-theme-font: 4155 minor-latin;mso-hansi-theme-font:minor-latin'>B2</span></b> phase and its <b 4156 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 4157 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Texture</span></b> 4158 tab; if the Texture plot type is still <b style='mso-bidi-font-weight:normal'><span 4159 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 4160 mso-hansi-theme-font:minor-latin'>Inverse pole figure</span></b> (from Method 4161 B) you should see</p> 4210 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>A quick look 4211 at the console will show that there are 61 variables in this refinement. If 4212 yours shows more then you didnt clear all the flags in Step 1. The <b 4213 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 4214 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Sequential 4215 results</span></b> entry is deleted from the GSAS-II data tree. A progress bar 4216 will show giving the residuals during the refinement. When finished, select the 4217 <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 4218 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>B2</span></b> 4219 phase and its <b style='mso-bidi-font-weight:normal'><span style='font-family: 4220 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 4221 minor-latin'>Texture</span></b> tab; if the Texture plot type is still <b 4222 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 4223 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Inverse pole 4224 figure</span></b> (from Method B) you should see</p> 4162 4225 4163 4226 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 4165 4228 o:spid="_x0000_i1028" type="#_x0000_t75" alt="GSAS-II plots: NiTi-C.gpx" 4166 4229 style='width:357pt;height:336pt;visibility:visible;mso-wrap-style:square'> 4167 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 93.png"4230 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image155.png" 4168 4231 o:title=" NiTi-C"/> 4169 4232 </v:shape><![endif]--><![if !vml]><img border=0 width=476 height=448 4170 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 95.png"4233 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image156.png" 4171 4234 alt="GSAS-II plots: NiTi-C.gpx" v:shapes="Picture_x0020_118"><![endif]></span></p> 4172 4235 … … 4179 4242 o:spid="_x0000_i1027" type="#_x0000_t75" alt="GSAS-II project: NiTi-C.gpx" 4180 4243 style='width:357pt;height:153.75pt;visibility:visible;mso-wrap-style:square'> 4181 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 96.png"4244 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image157.png" 4182 4245 o:title=" NiTi-C"/> 4183 4246 </v:shape><![endif]--><![if !vml]><img border=0 width=476 height=205 4184 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 97.png"4247 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image158.png" 4185 4248 alt="GSAS-II project: NiTi-C.gpx" v:shapes="Picture_x0020_119"><![endif]></span></p> 4186 4249 … … 4196 4259 o:spid="_x0000_i1026" type="#_x0000_t75" alt="GSAS-II plots: NiTi-C.gpx" 4197 4260 style='width:5in;height:339pt;visibility:visible;mso-wrap-style:square'> 4198 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image1 99.png"4261 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image159.png" 4199 4262 o:title=" NiTi-C"/> 4200 4263 </v:shape><![endif]--><![if !vml]><img border=0 width=480 height=452 4201 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 200.png"4264 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image160.png" 4202 4265 alt="GSAS-II plots: NiTi-C.gpx" v:shapes="Picture_x0020_120"><![endif]></span></p> 4203 4266 4204 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and <span 4205 class=GramE>also</span> almost identical to what was obtained in Method A; the 4206 coefficients are seen in</p> 4267 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'>and also, 4268 almost identical to what was obtained in Method A; the coefficients are seen in</p> 4207 4269 4208 4270 <p class=MsoNormal style='margin-bottom:12.0pt;line-height:115%'><span … … 4210 4272 o:spid="_x0000_i1025" type="#_x0000_t75" alt="GSAS-II project: NiTi-C.gpx" 4211 4273 style='width:359.25pt;height:198pt;visibility:visible;mso-wrap-style:square'> 4212 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 201.png"4274 <v:imagedata src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image161.png" 4213 4275 o:title=" NiTi-C"/> 4214 4276 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=264 4215 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image 203.png"4277 src="Texture%20analysis%20of%202D%20data%20in%20GSAS-II_files/image162.png" 4216 4278 alt="GSAS-II project: NiTi-C.gpx" v:shapes="Picture_x0020_121"><![endif]></span></p> 4217 4279 -
Tutorials/2DTexture/Texture analysis of 2D data in GSAS-II_files/filelist.xml
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