Changeset 586
- Timestamp:
- May 5, 2012 10:26:06 AM (11 years ago)
- Location:
- trunk/help
- Files:
-
- 15 added
- 8 edited
Legend:
- Unmodified
- Added
- Removed
-
trunk/help/Fit Peaks.htm
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616 mso-ascii-font-family:Cambria; 617 mso-ascii-theme-font:major-latin; 618 mso-fareast-font-family:"Times New Roman"; 619 mso-fareast-theme-font:major-fareast; 620 mso-hansi-font-family:Cambria; 621 mso-hansi-theme-font:major-latin; 622 mso-bidi-font-family:"Times New Roman"; 623 mso-bidi-theme-font:major-bidi; 624 color:#4F81BD; 625 mso-themecolor:accent1; 626 font-weight:bold;} 519 627 span.SpellE 520 628 {mso-style-name:""; 521 629 mso-spl-e:yes;} 522 span.GramE523 {mso-style-name:"";524 mso-gram-e:yes;}525 630 .MsoChpDefault 526 631 {mso-style-type:export-only; 527 632 mso-default-props:yes; 528 font-family:"Calibri","sans-serif"; 633 font-size:10.0pt; 634 mso-ansi-font-size:10.0pt; 635 mso-bidi-font-size:10.0pt; 529 636 mso-ascii-font-family:Calibri; 530 637 mso-ascii-theme-font:minor-latin; … … 535 642 mso-bidi-font-family:"Times New Roman"; 536 643 mso-bidi-theme-font:minor-bidi;} 537 .MsoPapDefault538 {mso-style-type:export-only;539 margin-bottom:10.0pt;540 line-height:115%;}541 644 @page WordSection1 542 645 {size:8.5in 11.0in; … … 558 661 mso-style-noshow:yes; 559 662 mso-style-priority:99; 663 mso-style-qformat:yes; 560 664 mso-style-parent:""; 561 665 mso-padding-alt:0in 5.4pt 0in 5.4pt; 562 mso-para-margin-top:0in; 563 mso-para-margin-right:0in; 564 mso-para-margin-bottom:10.0pt; 565 mso-para-margin-left:0in; 566 line-height:115%; 666 mso-para-margin:0in; 667 mso-para-margin-bottom:.0001pt; 567 668 mso-pagination:widow-orphan; 568 font-size:1 1.0pt;669 font-size:10.0pt; 569 670 font-family:"Calibri","sans-serif"; 570 671 mso-ascii-font-family:Calibri; … … 576 677 </style> 577 678 <![endif]--><!--[if gte mso 9]><xml> 578 <o:shapedefaults v:ext="edit" spidmax=" 1026"/>679 <o:shapedefaults v:ext="edit" spidmax="2050"/> 579 680 </xml><![endif]--><!--[if gte mso 9]><xml> 580 681 <o:shapelayout v:ext="edit"> … … 587 688 <div class=WordSection1> 588 689 589 <div style='mso-element:para-border-div;border:none;border-bottom:solid #4F81BD 1.0pt; 590 mso-border-bottom-themecolor:accent1;padding:0in 0in 4.0pt 0in'> 591 592 <p class=MsoTitle><span style='mso-spacerun:yes'> </span>Fit Peaks/<span 593 class=SpellE>Autoindexing</span> in GSAS-II <o:p></o:p></p> 594 595 </div> 690 <h1><span style='mso-spacerun:yes'> </span>Fit Peaks/<span class=SpellE>Autoindexing</span> 691 in GSAS-II </h1> 596 692 597 693 <p class=MsoNormal>In this exercise you will use the GSAS-II program to search 598 694 for a unit cell that matches a set of diffraction peaks -- a process known as 599 auto-indexing. First peaks must be located and optimized and then indexing can 600 be done.<o:p></o:p></p>601 602 < p class=MsoNormal>Step 1: read in data<o:p></o:p></p>695 auto-indexing. First peaks must be located and optimized and then indexing can be 696 done.</p> 697 698 <h2>Step 1: read in data</h2> 603 699 604 700 <p class=MsoNormal>Download the sample data file and matching instrument 605 parameter file from these links:< o:p></o:p></p>701 parameter file from these links:</p> 606 702 607 703 <p class=MsoNormal><span style='mso-spacerun:yes'> 608 </span>https://subversion.xor.aps.anl.gov/trac/pyGSAS/browser/Examples/powder%20data/11bmb_3844.fxye?format=raw< o:p></o:p></p>704 </span>https://subversion.xor.aps.anl.gov/trac/pyGSAS/browser/Examples/powder%20data/11bmb_3844.fxye?format=raw</p> 609 705 610 706 <p class=MsoNormal><span style='mso-spacerun:yes'> 611 </span>https://subversion.xor.aps.anl.gov/trac/pyGSAS/browser/Examples/powder%20data/11bmb_3844.prm?format=raw< o:p></o:p></p>707 </span>https://subversion.xor.aps.anl.gov/trac/pyGSAS/browser/Examples/powder%20data/11bmb_3844.prm?format=raw</p> 612 708 613 709 <p class=MsoNormal><o:p> </o:p></p> 614 710 615 711 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>(One can also use 616 this links<span style='mso-spacerun:yes'> </span>< o:p></o:p></p>712 this links<span style='mso-spacerun:yes'> </span></p> 617 713 618 714 <p class=MsoNormal><span style='mso-spacerun:yes'> 619 715 </span>https://subversion.xor.aps.anl.gov/pyGSAS/Examples/powder%20data/11bmb_3844.fxye 620 and < o:p></o:p></p>716 and </p> 621 717 622 718 <p class=MsoNormal><span style='mso-spacerun:yes'> 623 </span>https://subversion.xor.aps.anl.gov/pyGSAS/Examples/powder%20data/11bmb_3844.prm< o:p></o:p></p>624 625 <p class=MsoNormal><span style='mso-spacerun:yes'> </span> <span class=GramE>to</span>626 obtain the file, but this is more complex).<o:p></o:p></p>627 628 <p class=MsoNormal><o:p> </o:p></p> 629 630 < p class=MsoNormal>=== Step 2: Start GSAS-II ===<o:p></o:p></p>719 </span>https://subversion.xor.aps.anl.gov/pyGSAS/Examples/powder%20data/11bmb_3844.prm</p> 720 721 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>to obtain the 722 file, but this is more complex).</p> 723 724 <p class=MsoNormal><o:p> </o:p></p> 725 726 <h2>Step 2: Start GSAS-II </h2> 631 727 632 728 <p class=MsoNormal><o:p> </o:p></p> 633 729 634 730 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>This is done in 635 different ways, depending on your OS and how GSAS-II is installed.< o:p></o:p></p>636 637 <p class=MsoNormal><o:p> </o:p></p> 638 639 <p class=MsoNormal>=== Step 3: read in the data file ===< o:p></o:p></p>731 different ways, depending on your OS and how GSAS-II is installed.</p> 732 733 <p class=MsoNormal><o:p> </o:p></p> 734 735 <p class=MsoNormal>=== Step 3: read in the data file ===</p> 640 736 641 737 <p class=MsoNormal><o:p> </o:p></p> … … 643 739 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Use the '''Data/Read 644 740 powder data''' menu item to read the data file into the current GSAS-II 645 project. < o:p></o:p></p>646 647 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>< o:p></o:p></p>741 project. </p> 742 743 <p class=MsoNormal><span style='mso-spacerun:yes'> </span></p> 648 744 649 745 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Select the 650 {{{11bmb_3844.fxye}}} data file in the first dialog and press Open.< o:p></o:p></p>746 {{{11bmb_3844.fxye}}} data file in the first dialog and press Open.</p> 651 747 652 748 <p class=MsoNormal><o:p> </o:p></p> … … 654 750 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Select the 655 751 {{{11bmb_3844.prm}}} instrument parameter file in the second dialog and press 656 Open.< o:p></o:p></p>752 Open.</p> 657 753 658 754 <p class=MsoNormal><o:p> </o:p></p> 659 755 660 756 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>At this point the 661 data tree window will have several entries < o:p></o:p></p>757 data tree window will have several entries </p> 662 758 663 759 <p class=MsoNormal><span style='mso-spacerun:yes'> 664 760 </span>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w2.png 665 view]);<o:p></o:p></p> 666 667 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>and</span> 668 the plot window will show the powder pattern<o:p></o:p></p> 669 670 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w1.png 671 view]).</span><o:p></o:p></p> 672 673 <p class=MsoNormal><o:p> </o:p></p> 674 675 <p class=MsoNormal>=== Step 4: Select Data Range ===<o:p></o:p></p> 761 view]);</p> 762 763 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>and the plot 764 window will show the powder pattern</p> 765 766 <p class=MsoNormal><span style='mso-spacerun:yes'> 767 </span>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w1.png 768 view]).</p> 769 770 <p class=MsoNormal><o:p> </o:p></p> 771 772 <p class=MsoNormal>=== Step 4: Select Data Range ===</p> 676 773 677 774 <p class=MsoNormal><o:p> </o:p></p> 678 775 679 776 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>This pattern has much 680 more data than we need, so it is helpful to cut down the range. Click on the 681 Limits item in the data tree. A new window is created. Use the 682 "changed" row of entry boxes to set <span class=SpellE>Tmin</span> 683 and <span class=SpellE>Tmax</span> to 4 and 30. You may also drag the limits lines 684 to the desired location or place them by a left mouse click on a data point for 685 the lower limit or a right click on a data point for the upper limit.<o:p></o:p></p> 686 687 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w3.png 688 view]).</span> <o:p></o:p></p> 777 more data than we need, so it is helpful to cut down the range. Click on the Limits 778 item in the data tree. A new window is created. Use the "changed" row 779 of entry boxes to set <span class=SpellE>Tmin</span> and <span class=SpellE>Tmax</span> 780 to 4 and 30. You may also drag the limits lines to the desired location or 781 place them by a left mouse click on a data point for the lower limit or a right 782 click on a data point for the upper limit.</p> 783 784 <p class=MsoNormal><span 785 style='mso-spacerun:yes'> </span>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w3.png 786 view]). </p> 689 787 690 788 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Note the green and 691 red vertical lines in the plot window move. < o:p></o:p></p>692 693 <p class=MsoNormal><o:p> </o:p></p> 694 695 <p class=MsoNormal><o:p> </o:p></p> 696 697 <p class=MsoNormal>=== Step 5: Determine Peak Positions ===< o:p></o:p></p>789 red vertical lines in the plot window move. </p> 790 791 <p class=MsoNormal><o:p> </o:p></p> 792 793 <p class=MsoNormal><o:p> </o:p></p> 794 795 <p class=MsoNormal>=== Step 5: Determine Peak Positions ===</p> 698 796 699 797 <p class=MsoNormal><o:p> </o:p></p> … … 701 799 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Click on the Peak 702 800 List item in the data tree. This creates an empty window of peak positions. At 703 this point it is wise to <o:p></o:p></p> 704 705 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>zoom</span> 706 in on the data that will be used for indexing. This can be done by clicking on 707 this button:<o:p></o:p></p> 801 this point it is wise to </p> 802 803 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>zoom in on the data 804 that will be used for indexing. This can be done by clicking on this button:</p> 708 805 709 806 <p class=MsoNormal><o:p> </o:p></p> … … 712 809 magnification button: [[Image(d3z1.png)]], then press the left mouse in one 713 810 corner of the region to be used; holding the mouse button down, drag over the 714 region to the opposite corner. < o:p></o:p></p>811 region to the opposite corner. </p> 715 812 716 813 <p class=MsoNormal><o:p> </o:p></p> 717 814 718 815 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>'''Important:''' 719 Click on the magnification [[ <span class=GramE>Image(</span>d3z1.png)]] button720 again to turn off the zoom mode. <o:p></o:p></p>721 722 <p class=MsoNormal><o:p> </o:p></p> 723 724 <p class=MsoNormal><span style='mso-spacerun:yes'> </span> <span class=GramE>Using725 the left mouse button click on a data point near the top of each peak to be 726 added to the peak list.</span> As this is done, a line is <o:p></o:p></p>727 728 <p class=MsoNormal><span style='mso-spacerun:yes'> </span> <span class=GramE>drawn</span>729 in the plot window<o:p></o:p></p>816 Click on the magnification [[Image(d3z1.png)]] button again to turn off the 817 zoom mode. </p> 818 819 <p class=MsoNormal><o:p> </o:p></p> 820 821 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Using the left mouse 822 button click on a data point near the top of each peak to be added to the peak 823 list. As this is done, a line is </p> 824 825 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>drawn in the plot 826 window</p> 730 827 731 828 <p class=MsoNormal><span style='mso-spacerun:yes'> 732 829 </span>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w4.png 733 view]) and<o:p></o:p></p> 734 735 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>peaks</span> 736 are added to the Peak List window<o:p></o:p></p> 737 738 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w5.png 739 view]).</span> Note that if peaks are <o:p></o:p></p> 740 741 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><span class=GramE>not</span> 742 being added, you probably have not exited zoom mode.<o:p></o:p></p> 830 view]) and</p> 831 832 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>peaks are added to 833 the Peak List window</p> 834 835 <p class=MsoNormal><span style='mso-spacerun:yes'> 836 </span>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w5.png 837 view]). Note that if peaks are </p> 838 839 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>not being added, you 840 probably have not exited zoom mode.</p> 743 841 744 842 <p class=MsoNormal><o:p> </o:p></p> … … 746 844 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Once peaks in that 747 845 region have been added, move to a new region of the pattern. This can be done 748 by clicking on the shift button: [[<span class=GramE>Image(</span>d3z2.png)]]. 749 Dragging with the left mouse will shift the data to follow the mouse. <span 750 class=GramE>Clicking with the right button (on the Mac, control + mouse) and 751 moving up increases the vertical scale and to the right increases the 752 horizontal scale.</span><span style='mso-spacerun:yes'> 753 </span>'''Important:''' Click on the shift [[<span class=GramE>Image(</span>d3z2.png)]] 754 button again to turn off this mode. <o:p></o:p></p> 846 by clicking on the shift button: [[Image(d3z2.png)]]. Dragging with the left 847 mouse will shift the data to follow the mouse. Clicking with the right button (on 848 the Mac, control + mouse) and moving up increases the vertical scale and to the 849 right increases the horizontal scale.<span style='mso-spacerun:yes'> 850 </span>'''Important:''' Click on the shift [[Image(d3z2.png)]] button again to 851 turn off this mode. </p> 755 852 756 853 <p class=MsoNormal><o:p> </o:p></p> … … 758 855 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>Again, using the 759 856 left mouse button, click on the tops of more peaks to be added to the peak 760 list. Note that if peaks are < o:p></o:p></p>761 762 <p class=MsoNormal><span style='mso-spacerun:yes'> </span> <span class=GramE>not</span>763 being added, you probably have not exited shift mode.<o:p></o:p></p>857 list. Note that if peaks are </p> 858 859 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>not being added, you 860 probably have not exited shift mode.</p> 764 861 765 862 <p class=MsoNormal><o:p> </o:p></p> … … 769 866 visible in the plot. You may drag a peak position as needed; be sure the 770 867 zoom/shift buttons are off. A position may be deleted with a right click with 771 the mouse on the blue line.< o:p></o:p></p>772 773 <p class=MsoNormal><o:p> </o:p></p> 774 775 <p class=MsoNormal>=== Step 6: Refine Peak Positions ===< o:p></o:p></p>868 the mouse on the blue line.</p> 869 870 <p class=MsoNormal><o:p> </o:p></p> 871 872 <p class=MsoNormal>=== Step 6: Refine Peak Positions ===</p> 776 873 777 874 <p class=MsoNormal><o:p> </o:p></p> … … 779 876 <p class=MsoNormal>First, refine the peak intensities and the background. These 780 877 parameters have their refinement flag turned on by default. Use the menu item 781 '''Peak Fitting/<span class=GramE>LSQ !<span class=SpellE>PeakFit</span>'''</span>. 782 A window will show the progress of the refinement and will close when the least 783 <span class=GramE>squares is</span> complete. A summary of the refinement is 784 shown on the console window as well.<o:p></o:p></p> 878 '''Peak Fitting/LSQ !<span class=SpellE>PeakFit</span>'''. A window will show 879 the progress of the refinement and will close when the least squares is 880 complete. A summary of the refinement is shown on the console window as well.</p> 785 881 786 882 <p class=MsoNormal><o:p> </o:p></p> … … 788 884 <p class=MsoNormal>Second, add refinement of the peak positions. This can be 789 885 done by clicking on all the refinement flags for the individual peaks or it is 790 possible to set them all at the same time using this recipe: < o:p></o:p></p>791 792 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>* <span class=GramE>single-click</span>793 on any value in the table to select it, for example the first peak position. A 794 b lack box appears around the value. If the field if opened for editing (the box795 t urns to blue), select a different item in the table.<o:p></o:p></p>886 possible to set them all at the same time using this recipe: </p> 887 888 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>* single-click on any 889 value in the table to select it, for example the first peak position. A black 890 box appears around the value. If the field if opened for editing (the box turns 891 to blue), select a different item in the table.</p> 796 892 797 893 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>* double-click on the 798 894 refine label above the peak position check-boxes. The entire column of 799 895 checkboxes is highlighted in blue. Press the y key to turn on all refinement 800 flags (n would turn them off).< o:p></o:p></p>801 802 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>< o:p></o:p></p>803 804 <p class=MsoNormal>Third, repeat the refinement using the '''Peak Fitting/ <span805 class= GramE>LSQ !<span class=SpellE>PeakFit</span>'''</span> menu item.<o:p></o:p></p>806 807 <p class=MsoNormal><span style='mso-spacerun:yes'> </span>< o:p></o:p></p>896 flags (n would turn them off).</p> 897 898 <p class=MsoNormal><span style='mso-spacerun:yes'> </span></p> 899 900 <p class=MsoNormal>Third, repeat the refinement using the '''Peak Fitting/LSQ !<span 901 class=SpellE>PeakFit</span>''' menu item.</p> 902 903 <p class=MsoNormal><span style='mso-spacerun:yes'> </span></p> 808 904 809 905 <p class=MsoNormal>Fourth, select peak widths for refinement. This can be done 810 906 by refining sigma (Gaussian width) and/or gamma (Lorentzian width) for 811 907 individual peaks, but here we constrain the peaks to follow an instrumental 812 broadening equation. Select the Instrumental Parameters item in the data tree. < o:p></o:p></p>813 814 <p class=MsoNormal>This opens a window for peak profile terms< o:p></o:p></p>815 816 <p class=MsoNormal> <span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w6.png817 view]). </span> <o:p></o:p></p>908 broadening equation. Select the Instrumental Parameters item in the data tree. </p> 909 910 <p class=MsoNormal>This opens a window for peak profile terms</p> 911 912 <p class=MsoNormal>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w6.png 913 view]). </p> 818 914 819 915 <p class=MsoNormal>Select the refine flag checkbox for Gaussian U, V, W, 820 Lorentzian X, Y and the asymmetry parameter SH/L. < o:p></o:p></p>916 Lorentzian X, Y and the asymmetry parameter SH/L. </p> 821 917 822 918 <p class=MsoNormal><o:p> </o:p></p> 823 919 824 920 <p class=MsoNormal>Fifth, repeat the refinement. First click on the Peak List 825 item in the data tree and then refine using the '''Peak Fitting/<span 826 class=GramE>LSQ !<span class=SpellE>PeakFit</span>'''</span> menu item. At this 827 point a good fit should be seen by zooming in on individual peaks. (For example 828 see <o:p></o:p></p> 829 830 <p class=MsoNormal><span class=GramE>[https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w7.png 831 this]).</span> The <span class=SpellE>Rwp</span> is ~6% as shown on the console 832 window.<o:p></o:p></p> 833 834 <p class=MsoNormal><o:p> </o:p></p> 835 836 <p class=MsoNormal>=== Prepare Indexing Peak List ===<o:p></o:p></p> 921 item in the data tree and then refine using the '''Peak Fitting/LSQ !<span 922 class=SpellE>PeakFit</span>''' menu item. At this point a good fit should be 923 seen by zooming in on individual peaks. (For example see </p> 924 925 <p class=MsoNormal>[https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d3w7.png 926 this]). The <span class=SpellE>Rwp</span> is ~6% as shown on the console 927 window.</p> 928 929 <p class=MsoNormal><o:p> </o:p></p> 930 931 <p class=MsoNormal>=== Prepare Indexing Peak List ===</p> 837 932 838 933 <p class=MsoNormal><o:p> </o:p></p> … … 842 937 Index Peak List item in the data tree. In the initially empty window created by 843 938 this action, use menu item '''Index Peaks Operations/Load''' to copy over the 844 fitted peaks from the Peak List tree entry< o:p></o:p></p>845 846 <p class=MsoNormal> <span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w1.png847 view]). </span> <o:p></o:p></p>848 849 <p class=MsoNormal>Note that by default all peaks are selected to be used. < o:p></o:p></p>850 851 <p class=MsoNormal><o:p> </o:p></p> 852 853 <p class=MsoNormal>=== Run <span class=SpellE>Autoindexing</span> ===< o:p></o:p></p>939 fitted peaks from the Peak List tree entry</p> 940 941 <p class=MsoNormal>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w1.png 942 view]). </p> 943 944 <p class=MsoNormal>Note that by default all peaks are selected to be used. </p> 945 946 <p class=MsoNormal><o:p> </o:p></p> 947 948 <p class=MsoNormal>=== Run <span class=SpellE>Autoindexing</span> ===</p> 854 949 855 950 <p class=MsoNormal><o:p> </o:p></p> 856 951 857 952 <p class=MsoNormal>Select the Unit Cells List data item. This brings up a 858 window for indexing and cell refinement options< o:p></o:p></p>859 860 <p class=MsoNormal> <span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w2.png861 view]). </span> For the most rapid search (since we know the right answer),862 select Cubic-P and launch the search using menu item '''Cell Index/Index 863 Cell'''. The search then runs and he console shows a running list of possible 864 cells as they are found; the sorted by M20 list of possible matching cells is 865 shown in the window<o:p></o:p></p>866 867 <p class=MsoNormal> <span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w3.png868 view]). </span> <o:p></o:p></p>869 870 <p class=MsoNormal><o:p> </o:p></p> 871 872 <p class=MsoNormal>=== Review Cell Choices === < o:p></o:p></p>953 window for indexing and cell refinement options</p> 954 955 <p class=MsoNormal>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w2.png 956 view]). For the most rapid search (since we know the right answer), select 957 Cubic-P and launch the search using menu item '''Cell Index/Index Cell'''. The 958 search then runs and he console shows a running list of possible cells as they 959 are found; the sorted by M20 list of possible matching cells is shown in the 960 window</p> 961 962 <p class=MsoNormal>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w3.png 963 view]). </p> 964 965 <p class=MsoNormal><o:p> </o:p></p> 966 967 <p class=MsoNormal>=== Review Cell Choices === </p> 873 968 874 969 <p class=MsoNormal><o:p> </o:p></p> 875 970 876 971 <p class=MsoNormal>Review the list of cells associated with the Unit Cells List 877 data item. Note that as one selects a unit cell, the generated reflections for 878 that cell are shown in the plot with dashed red lines. Sliding the cursor over 879 theselines shows a small popup window with the indexed <span class=SpellE>hkl</span>880 for them. Note how the 8.312 <span class=GramE>A</span> cell generates very881 many lines with no corresponding peaks <o:p></o:p></p>972 data item. Note that as one selects a unit cell, the generated reflections for that 973 cell are shown in the plot with dashed red lines. Sliding the cursor over these 974 lines shows a small popup window with the indexed <span class=SpellE>hkl</span> 975 for them. Note how the 8.312 A cell generates very many lines with no 976 corresponding peaks </p> 882 977 883 978 <p class=MsoNormal>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w4.png 884 view])<o:p></o:p></p> 885 886 <p class=MsoNormal><span class=GramE>while</span> the 2.939 A cell generates 887 not enough lines to match all the peaks<o:p></o:p></p> 888 889 <p class=MsoNormal><span class=GramE>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w5.png 890 view]).</span> <o:p></o:p></p> 891 892 <p class=MsoNormal><o:p> </o:p></p> 893 894 <p class=MsoNormal>=== Select/Refine Cell === <o:p></o:p></p> 895 896 <p class=MsoNormal><o:p> </o:p></p> 897 898 <p class=MsoNormal>Select the top option, a 4.1568 <span class=GramE>A</span> 899 cell with M20 figure of merit of 2700. This indexes all peaks, though peak 900 positions are not exactly perfect if one zooms in enough. Import the cell 901 information using the '''Cell Index/Copy Cell''' menu option. Then optimize the 902 cell by refining the lattice parameters and the two-theta zero: click on the 903 refine checkbox next to the Zero offset value and then the '''Cell Index/Refine 904 Cell''' menu option. <span class=GramE>The a</span> cell parameter value shifts 905 from 4.15679 to 4.15684 when zero is refined. <o:p></o:p></p> 979 view])</p> 980 981 <p class=MsoNormal>while the 2.939 A cell generates not enough lines to match 982 all the peaks</p> 983 984 <p class=MsoNormal>([https://subversion.xor.aps.anl.gov/trac/pyGSAS/attachment/wiki/DemoAutoIndex/d4w5.png 985 view]). </p> 986 987 <p class=MsoNormal><o:p> </o:p></p> 988 989 <p class=MsoNormal>=== Select/Refine Cell === </p> 990 991 <p class=MsoNormal><o:p> </o:p></p> 992 993 <p class=MsoNormal>Select the top option, a 4.1568 A cell with M20 figure of 994 merit of 2700. This indexes all peaks, though peak positions are not exactly 995 perfect if one zooms in enough. Import the cell information using the '''Cell 996 Index/Copy Cell''' menu option. Then optimize the cell by refining the lattice 997 parameters and the two-theta zero: click on the refine checkbox next to the 998 Zero offset value and then the '''Cell Index/Refine Cell''' menu option. The a 999 cell parameter value shifts from 4.15679 to 4.15684 when zero is refined. </p> 906 1000 907 1001 <p class=MsoNormal><o:p> </o:p></p> -
trunk/help/Integration of area detector data in GSAS.htm
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788 mso-border-bottom-themecolor:accent1;padding:0in 0in 4.0pt 0in'> 789 790 <p class=MsoTitle>Integration of area detector data in GSAS-II</p> 791 792 </div> 958 <h1>Integration of area detector data in GSAS-II</h1> 793 959 794 960 <p class=MsoNormal>In this demo, data collected with a Perkin-Elmer area … … 801 967 normal'>About GSAS-II</b>).</p> 802 968 803 <h 1>Prerequisite:<span style='mso-spacerun:yes'> </span><a804 href="Calibration%20of%20an%20area%20detector%20in%20GSAS.htm">Calibration Demo</a></h 1>969 <h2>Prerequisite:<span style='mso-spacerun:yes'> </span><a 970 href="Calibration%20of%20an%20area%20detector%20in%20GSAS.htm">Calibration Demo</a></h2> 805 971 806 972 <p class=MsoNormal>This assumes that an image data set has been read in and 807 calibration results have been derived, see <span class=GramE>the<span808 style='mso-spacerun:yes'> </span></span><a 809 href="Calibration%20of%20an%20area%20detector%20in%20GSAS.htm">CalibrationDemo</a></p>973 calibration results have been derived, see the<span style='mso-spacerun:yes'> 974 </span><a href="Calibration%20of%20an%20area%20detector%20in%20GSAS.htm">Calibration 975 Demo</a></p> 810 976 811 977 <h2>Step 1: Clear calibration plot</h2> … … 821 987 822 988 <p class=MsoNormal>In the simplest case, all that is needed is to click on the <b 823 style='mso-bidi-font-weight:normal'>Do full integration?</b> <span class=GramE>check</span>824 box andadjust the inner and outer 2-theta values with the <b style='mso-bidi-font-weight:989 style='mso-bidi-font-weight:normal'>Do full integration?</b> check box and 990 adjust the inner and outer 2-theta values with the <b style='mso-bidi-font-weight: 825 991 normal'>Inner 2-theta</b> and<b style='mso-bidi-font-weight:normal'> Outer 826 992 2-theta</b> controls. Change the limits to 1 and 7 for this data. Note that … … 831 997 <p class=MsoNormal>It is helpful to see the two-theta limits on the plot 832 998 visually, while adjusting the two-theta range. This is done by clicking on the <b 833 style='mso-bidi-font-weight:normal'>Show integration limits?</b> <span 834 class=GramE>check</span> box. Note that inner limit is shown as a green ellipse 835 at 2deg and the outer is shown as a red ellipse at 5deg by default. These 836 limits may also be dragged to the desired values; a small popup window shows 837 the value. </p> 999 style='mso-bidi-font-weight:normal'>Show integration limits?</b> check box. 1000 Note that inner limit is shown as a green ellipse at 2deg and the outer is 1001 shown as a red ellipse at 5deg by default. These limits may also be dragged to 1002 the desired values; a small popup window shows the value. </p> 838 1003 839 1004 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype … … 862 1027 o:title=""/> 863 1028 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=370 864 src="Integration%20of%20area%20detector%20data%20in%20GSAS_files/image00 2.png"1029 src="Integration%20of%20area%20detector%20data%20in%20GSAS_files/image008.png" 865 1030 v:shapes="Picture_x0020_2"><![endif]></span></p> 866 1031 867 1032 <h3>Other useful controls:</h3> 868 1033 869 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><b style='mso-bidi-font-weight: 870 normal'>Azimuth offset</b>: The image vertical axis (from the beam center, 871 going down) is labeled with the azimuth value placed in the <b 872 style='mso-bidi-font-weight:normal'>Azimuth offset</b> box. This is usually 873 zero.</p> 874 875 <p class=MsoNormal><span style='mso-spacerun:yes'> </span><b style='mso-bidi-font-weight: 876 normal'>Start/End azimuth</b>: The integration is started at the Start azimuth 877 angle in the left box, and when the <b style='mso-bidi-font-weight:normal'>Do 878 full integration?</b> checkbox is not checked, the integration will be run only 879 to the maximum value specified. When the range is less than 360 degrees, the 880 integration range will be shown (if selected) with the high and low limits 881 plotted and only segments of the max and min ellipses drawn. These limits may 882 also be dragged on the plot to desired locations.</p> 1034 <p class=MsoNormal><b style='mso-bidi-font-weight:normal'>Azimuth offset</b>: 1035 The image vertical axis (from the beam center, going down) is labeled with the 1036 azimuth value placed in the <b style='mso-bidi-font-weight:normal'>Azimuth 1037 offset</b> box. This is usually zero.</p> 1038 1039 <p class=MsoNormal><b style='mso-bidi-font-weight:normal'>Start/End azimuth</b>: 1040 The integration is started at the Start azimuth angle in the left box, and when 1041 the <b style='mso-bidi-font-weight:normal'>Do full integration?</b> checkbox is 1042 not checked, the integration will be run only to the maximum value specified. 1043 When the range is less than 360 degrees, the integration range will be shown 1044 (if selected) with the high and low limits plotted and only segments of the max 1045 and min ellipses drawn. These limits may also be dragged on the plot to desired 1046 locations.</p> 883 1047 884 1048 <p class=MsoNormal><b style='mso-bidi-font-weight:normal'>Number of 2-theta … … 892 1056 pattern to be useful for further analysis.</p> 893 1057 894 <p class=MsoNormal>< span style='mso-spacerun:yes'> </span><b style='mso-bidi-font-weight:895 normal'>Number of azimuth bins</b>: In cases where the diffraction experiment 896 shows changes as a function of azimuthal angle, the integration can be 897 performed as a function of angle. This number specifies the number of bins to 898 use by azimuthal angle. The process of breaking up the integration in this way 899 is sometimes called "caking" since the integration region grows with 900 distance from the beam-center, with a shape like a slice of cake or pie. When 901 more than one azimuthal bin is used, the regions are shown in the plot with 902 dashed lines,when the Show integration limits?" check box is checked. </p>1058 <p class=MsoNormal><b style='mso-bidi-font-weight:normal'>Number of azimuth 1059 bins</b>: In cases where the diffraction experiment shows changes as a function 1060 of azimuthal angle, the integration can be performed as a function of angle. 1061 This number specifies the number of bins to use by azimuthal angle. The process 1062 of breaking up the integration in this way is sometimes called 1063 "caking" since the integration region grows with distance from the 1064 beam-center, with a shape like a slice of cake or pie. When more than one 1065 azimuthal bin is used, the regions are shown in the plot with dashed lines, 1066 when the Show integration limits?" check box is checked. </p> 903 1067 904 1068 <p class=MsoNormal><b style='mso-bidi-font-weight:normal'>Background Image </b>and<b … … 916 1080 o:title=""/> 917 1081 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=535 918 src="Integration%20of%20area%20detector%20data%20in%20GSAS_files/image00 4.png"1082 src="Integration%20of%20area%20detector%20data%20in%20GSAS_files/image009.png" 919 1083 v:shapes="Picture_x0020_1"><![endif]></span></p> 920 1084 … … 943 1107 style='mso-spacerun:yes'> </span></p> 944 1108 945 <p class=MsoNormal><span class=GramE>two</span> plots are added to the plot 946 window: One (with tab 2D Integration) shows the diffraction intensity as a 947 function of both 2-theta and (when there is more than one azimuthal integration 948 region) azimuthal angle</p> 1109 <p class=MsoNormal>two plots are added to the plot window: One (with tab 2D 1110 Integration) shows the diffraction intensity as a function of both 2-theta and 1111 (when there is more than one azimuthal integration region) azimuthal angle</p> 949 1112 950 1113 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape … … 956 1119 src="Integration%20of%20area%20detector%20data%20in%20GSAS_files/image006.png" 957 1120 v:shapes="Picture_x0020_4"><![endif]></span><span 958 style='mso-spacerun:yes'> </span> <span class=GramE>c</span></p>959 960 <p class=MsoNormal> <span class=GramE>and</span> a conventional 1-D powder961 pattern(s) for each"slice"</p>1121 style='mso-spacerun:yes'> </span>c</p> 1122 1123 <p class=MsoNormal>and a conventional 1-D powder pattern(s) for each 1124 "slice"</p> 962 1125 963 1126 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape -
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… … 1767 1913 mso-style-noshow:yes; 1768 1914 mso-style-priority:99; 1915 mso-style-qformat:yes; 1769 1916 mso-style-parent:""; 1770 1917 mso-padding-alt:0in 5.4pt 0in 5.4pt; … … 1778 1925 <link href=gsasIIfav.png rel="SHORTCUT ICON"> 1779 1926 <!--[if gte mso 9]><xml> 1780 <o:shapedefaults v:ext="edit" spidmax=" 1027"/>1927 <o:shapedefaults v:ext="edit" spidmax="3074"/> 1781 1928 </xml><![endif]--><!--[if gte mso 9]><xml> 1782 1929 <o:shapelayout v:ext="edit"> … … 1809 1956 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> 1810 1957 <o:lock v:ext="edit" aspectratio="t"/> 1811 </v:shapetype><v:shape id="Picture_x0020_2" o:spid="_x0000_s102 6" type="#_x0000_t75"1958 </v:shapetype><v:shape id="Picture_x0020_2" o:spid="_x0000_s1028" type="#_x0000_t75" 1812 1959 alt="Description: Description: GSAS-II logo" style='position:absolute; 1813 margin-left:44.8pt;margin-top:0;width:96pt;height:96pt;z-index:251657728; 1814 visibility:visible;mso-wrap-style:square;mso-width-percent:0; 1815 mso-height-percent:0;mso-wrap-distance-left:0;mso-wrap-distance-top:0; 1960 margin-left:56pt;margin-top:0;width:96pt;height:96pt;z-index:1;visibility:visible; 1961 mso-wrap-style:square;mso-wrap-distance-left:0;mso-wrap-distance-top:0; 1816 1962 mso-wrap-distance-right:0;mso-wrap-distance-bottom:0; 1817 1963 mso-position-horizontal:right;mso-position-horizontal-relative:text; 1818 mso-position-vertical:absolute;mso-position-vertical-relative:line; 1819 mso-width-percent:0;mso-height-percent:0;mso-width-relative:page; 1820 mso-height-relative:page' o:allowoverlap="f"> 1964 mso-position-vertical:absolute;mso-position-vertical-relative:line' 1965 o:allowoverlap="f"> 1821 1966 <v:imagedata src="gsas2logo.png"/> 1822 1967 <w:wrap type="square" anchory="line"/> … … 1839 1984 <h2><strong>GSAS-II tutorials:<o:p></o:p></strong></h2> 1840 1985 1841 <p class=MsoNormal><strong><a href="Calibration%20of%20an%20area%20detector%20in%20GSAS.htm"><span 1986 <p class=MsoNormal><strong>Starting GSAS-II<o:p></o:p></strong></p> 1987 1988 <p class=MsoNormal><strong><a 1989 href="Calibration%20of%20an%20area%20detector%20in%20GSAS.htm"><span 1842 1990 style='font-weight:normal'>2-D Image calibration</span></a><o:p></o:p></strong></p> 1843 1991 … … 1849 1997 normal'>Powder pattern peak picking, fitting and indexing</span></a><o:p></o:p></strong></p> 1850 1998 1851 <p class=MsoNormal><strong>Powder pattern Rietveld refinement (future)<o:p></o:p></strong></p> 1852 1853 <p class=MsoNormal><strong>Crystal structure drawing (future)<o:p></o:p></strong></p> 1854 1855 <p class=MsoNormal><strong>Distance/Angle/Torsion <span class=GramE>calculations(</span>future)<o:p></o:p></strong></p> 1999 <p class=MsoNormal><strong>Lab X-ray powder pattern <span class=SpellE>Rietveld</span> 2000 refinement (future)<o:p></o:p></strong></p> 2001 2002 <p class=MsoNormal><strong>CW Neutron powder pattern <span class=SpellE>Rietveld</span> 2003 refinement (future)<o:p></o:p></strong></p> 2004 2005 <p class=MsoNormal><strong>Synchrotron X-ray powder pattern <span class=SpellE>Rietveld</span> 2006 refinement (future)<o:p></o:p></strong></p> 2007 2008 <p class=MsoNormal><strong>Crystal structure drawing (balls & sticks, etc.) 2009 (future)<o:p></o:p></strong></p> 2010 2011 <p class=MsoNormal><strong>Crystal structure drawing (<span class=SpellE>polyhedra</span>) 2012 (future)<o:p></o:p></strong></p> 2013 2014 <p class=MsoNormal><strong>Distance/Angle/Torsion calculations(future)<o:p></o:p></strong></p> 1856 2015 1857 2016 <p class=MsoNormal><strong>Charge flipping structure solution(future)<o:p></o:p></strong></p> 1858 2017 1859 <p class=MsoNormal><s pan class=GramE><strong>etc., etc.</strong></span><strong><o:p></o:p></strong></p>2018 <p class=MsoNormal><strong>etc., etc.<o:p></o:p></strong></p> 1860 2019 1861 2020 <div class=MsoNormal align=center style='text-align:center'><span … … 1927 2086 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Save 1928 2087 As…</span></b><span style='mso-fareast-font-family:"Times New Roman"'> - 1929 Save the current project to a new file. A file dialog will be shown to enter 1930 the name (and change directory if desired). If the file exists, you will be 1931 askedif it OK to overwrite.</span></p>2088 Save the current project to a new file. A file dialog will be shown to enter the 2089 name (and change directory if desired). If the file exists, you will be asked 2090 if it OK to overwrite.</span></p> 1932 2091 1933 2092 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 1947 2106 style='mso-fareast-font-family:"Times New Roman"'> – Exit the GSAS-II 1948 2107 program; if there is a current project you will be asked if you want to save it 1949 first. Pressing the red X in the upper right (Windows) also exits (no save option)1950 GSAS-II; useful for escaping from GSAS-II if needed.</span></p>2108 first. Pressing the red X in the upper right (Windows) also exits (no save 2109 option) GSAS-II; useful for escaping from GSAS-II if needed.</span></p> 1951 2110 1952 2111 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l11 level1 lfo1'><![if !supportLists]><span … … 1959 2118 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 1960 2119 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 1961 style='mso-bidi-font-weight:normal'>Read powder data…</b> - Read in 1962 powder diffraction patterns (multiple patterns can be selected). GSAS-II can 1963 read most of the old GSAS powder format files with the position in <span 1964 class=SpellE>centidegrees</span> 2-theta. It can also read “<span 1965 class=SpellE>xye</span>” format files used by <span class=SpellE>topas</span> 1966 where the position is in degrees 2-theta. As each file is read, an old GSAS 1967 style “instrument parameter file” is searched for; if not found a <span 1968 class=SpellE>CuK</span><span style='font-family:Symbol'>a</span> laboratory 1969 data set is assumed. </p> 2120 style='mso-bidi-font-weight:normal'>Read powder data…</b> - Read in powder 2121 diffraction patterns (multiple patterns can be selected). GSAS-II can read most 2122 of the old GSAS powder format files with the position in <span class=SpellE>centidegrees</span> 2123 2-theta. It can also read “<span class=SpellE>xye</span>” format 2124 files used by <span class=SpellE>topas</span> where the position is in degrees 2125 2-theta. As each file is read, an old GSAS style “instrument parameter 2126 file” is searched for; if not found a <span class=SpellE>CuK</span><span 2127 style='font-family:Symbol'>a</span> laboratory data set is assumed. </p> 1970 2128 1971 2129 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 2070 2228 The total number of refined parameters is also shown at the top of the list. 2071 2229 The value of each parameter is also given. The parameter names are of the form 2072 ‘p <span class=GramE>:h:name:id’</span> where ‘p’ is the2073 phase index, ‘h’ is the histogram index and ‘id’ is the 2074 item index (if needed). Indexes all begin with ‘0’ (zero). Note 2075 that for atom positions the value is not a <span class=SpellE>refinable</span> 2076 parameter, but the shift in the value is. Position names are, e.g. ‘0:<span 2077 class=GramE>:Ax:0’</span> for the x-position of the <span class=SpellE>zeroth</span> 2078 atom in the <span class=SpellE>zeroth</span> phase while shift names have a 2079 ‘d’ inthen, e.g. ‘0::dAx:0’. </p>2230 ‘p:h:name:id’ where ‘p’ is the phase index, 2231 ‘h’ is the histogram index and ‘id’ is the item index 2232 (if needed). Indexes all begin with ‘0’ (zero). Note that for atom 2233 positions the value is not a <span class=SpellE>refinable</span> parameter, but 2234 the shift in the value is. Position names are, e.g. ‘0::Ax:0’ for 2235 the x-position of the <span class=SpellE>zeroth</span> atom in the <span 2236 class=SpellE>zeroth</span> phase while shift names have a ‘d’ in 2237 then, e.g. ‘0::dAx:0’. </p> 2080 2238 2081 2239 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 2083 2241 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 2084 2242 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 2085 style='mso-bidi-font-weight:normal'>Refine</b> – This performs the refinement2086 (Pawley/Rietveld or single crystal) according to the controls set in the <b 2087 style='mso-bidi-font-weight:normal'><a href="#Controls">Controls</a></b> data 2088 tree item.</p>2243 style='mso-bidi-font-weight:normal'>Refine</b> – This performs the 2244 refinement (Pawley/Rietveld or single crystal) according to the controls set in 2245 the <b style='mso-bidi-font-weight:normal'><a href="#Controls">Controls</a></b> 2246 data tree item.</p> 2089 2247 2090 2248 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 2255 2413 2256 2414 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>Two 2257 of the main refinement tools are the <span class=SpellE> <span class=GramE>fortran</span></span>2258 MINPACK <span class=SpellE>lmdif</span> and <span class=SpellE>lmder</span> 2259 algorithms wrapped in python as provided in the <span class=SpellE>Scipy</span> 2260 package and a third one is a python version utilizing only the <span 2261 class=SpellE>numpy</span> package. The purpose is to </span>minimize the sum of 2262 the squares of M<span style='mso-fareast-font-family:"Times New Roman"'> 2263 nonlinear functions in Nvariables by a modification of the <span class=SpellE>Levenberg</span>-Marquardt2415 of the main refinement tools are the <span class=SpellE>fortran</span> MINPACK <span 2416 class=SpellE>lmdif</span> and <span class=SpellE>lmder</span> algorithms 2417 wrapped in python as provided in the <span class=SpellE>Scipy</span> package 2418 and a third one is a python version utilizing only the <span class=SpellE>numpy</span> 2419 package. The purpose is to </span>minimize the sum of the squares of M<span 2420 style='mso-fareast-font-family:"Times New Roman"'> nonlinear functions in N 2421 variables by a modification of the <span class=SpellE>Levenberg</span>-Marquardt 2264 2422 algorithm. The <span class=SpellE>lmdif</span> and <span class=SpellE>lmder</span> 2265 2423 routines were written by </span>Burton S. <span class=SpellE>Garbow</span>, 2266 Kenneth E. <span class=SpellE>Hillstrom</span>, <span class=GramE>Jorge</span> 2267 J. <span class=GramE>More (Argonne National Laboratory, 1980).</span> The 2268 python/numpy version was developed by us based on the material in Numerical 2269 Recipes (Press, Flannery, <span class=SpellE><span class=GramE>Teulosky</span></span> 2424 Kenneth E. <span class=SpellE>Hillstrom</span>, Jorge J. More (Argonne National 2425 Laboratory, 1980). The python/numpy version was developed by us based on the 2426 material in Numerical Recipes (Press, Flannery, <span class=SpellE>Teulosky</span> 2270 2427 & <span class=SpellE>Vetterling</span>) for the <span class=SpellE>Levenberg</span>-Marquardt 2271 2428 algorithm.<span style='mso-fareast-font-family:"Times New Roman"'><o:p></o:p></span></p> … … 2302 2459 the first cycle of refinement. This value is modified by the least squares 2303 2460 routine. The allowed range is 10<sup>-5</sup> to 100. Smaller values may be 2304 needed if your initial <span class=GramE>refinement</span> trials immediately diverge,2305 however make sure your starting parameter values are ‘reasonable’. 2306 The selecteddefault (=1.0) normally gives good performance.<o:p></o:p></span></p>2461 needed if your initial refinement trials immediately diverge, however make sure 2462 your starting parameter values are ‘reasonable’. The selected 2463 default (=1.0) normally gives good performance.<o:p></o:p></span></p> 2307 2464 2308 2465 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l15 level1 lfo2'><![if !supportLists]><span … … 2344 2501 "Times New Roman"'>m</span><span style='mso-fareast-font-family:"Times New Roman"'>strain 2345 2502 and crystallite size parameters). ‘Histogram constraints’ are those 2346 that depend only on the data set (e.g. profile coefficients U<span class=GramE>,V,W,X</span> 2347 and Y).<o:p></o:p></span></p> 2503 that depend only on the data set (e.g. profile coefficients U,V,W,X and Y).<o:p></o:p></span></p> 2348 2504 2349 2505 <h5><span style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<o:p></o:p></span></h5> … … 2365 2521 auto;text-indent:-.25in;mso-list:l17 level2 lfo3'><![if !supportLists]><span 2366 2522 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 2367 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 2368 class=GramE><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 2369 "Times New Roman"'>Add</span></b></span><b style='mso-bidi-font-weight:normal'><span 2370 style='mso-fareast-font-family:"Times New Roman"'> Hold</span></b><span 2371 style='mso-fareast-font-family:"Times New Roman"'> – select a parameter 2372 that you wish to remain fixed although other parameters of the same type may be 2373 selected as a group for refinement. For example, if the space group for a phase 2374 has a polar axis (e.g. the b-axis in P2<sub>1</sub>), then one atom y-parameter 2375 is arbitrary and should be selected for a Hold to keep the structure from 2376 drifting up or down the y-axis during refinement. If selected, a dialog box 2377 will appear showing the list of available parameters; select one and then OK to 2378 implement it, Cancel will cancel the operation. The held parameter will be 2379 shown in the constraint window with the keyword ‘FIXED’. A Delete 2380 button can be used to remove it.<o:p></o:p></span></p> 2523 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 2524 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Add 2525 Hold</span></b><span style='mso-fareast-font-family:"Times New Roman"'> – 2526 select a parameter that you wish to remain fixed although other parameters of 2527 the same type may be selected as a group for refinement. For example, if the 2528 space group for a phase has a polar axis (e.g. the b-axis in P2<sub>1</sub>), 2529 then one atom y-parameter is arbitrary and should be selected for a Hold to 2530 keep the structure from drifting up or down the y-axis during refinement. If 2531 selected, a dialog box will appear showing the list of available parameters; 2532 select one and then OK to implement it, Cancel will cancel the operation. The 2533 held parameter will be shown in the constraint window with the keyword 2534 ‘FIXED’. A Delete button can be used to remove it.<o:p></o:p></span></p> 2381 2535 2382 2536 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 2389 2543 with a non-unitary multiplier for some). Examples are a list of atoms with the 2390 2544 same thermal motion <span class=SpellE>Uiso</span>, sets of profile 2391 coefficients U <span class=GramE>,V,W</span> across multiple data sets. If2392 selected, a dialog box will appear with a list of the available parameters. 2393 Select one and press OK; a second dialog box will appear with only those2394 parameters that can be made equivalent to the first one. Choose those and press 2395 OK. Cancel in either dialog will cancel the operation. The equivalenced 2396 parameters will show as an equation of the form M<sub>1</sub>*P<sub>1</sub>+M<sub>2</sub>*P<sub>2</sub>=0; 2397 usually M1=1.0 and M2=-1.0, but can be changed via the ‘Edit’ 2398 button. The keyword ‘EQUIV’ marks it as <span class=GramE>an 2399 equivalence</span>. A Delete button can beused to remove it.<o:p></o:p></span></p>2545 coefficients U,V,W across multiple data sets. If selected, a dialog box will 2546 appear with a list of the available parameters. Select one and press OK; a 2547 second dialog box will appear with only those parameters that can be made 2548 equivalent to the first one. Choose those and press OK. Cancel in either dialog 2549 will cancel the operation. The equivalenced parameters will show as an equation 2550 of the form M<sub>1</sub>*P<sub>1</sub>+M<sub>2</sub>*P<sub>2</sub>=0; usually 2551 M1=1.0 and M2=-1.0, but can be changed via the ‘Edit’ button. The 2552 keyword ‘EQUIV’ marks it as an equivalence. A Delete button can be 2553 used to remove it.<o:p></o:p></span></p> 2400 2554 2401 2555 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 2413 2567 the operation. The equivalenced parameters will show as an equation of the form 2414 2568 M<sub>1</sub>*P<sub>1</sub>+M<sub>2</sub>*P<sub>2</sub>+…=C; the 2415 multipliers M1, <span class=GramE>M2, …</span> and C can be changed via2416 the ‘Edit’ button. The keyword ‘CONSTR’ marks it as a 2417 constraint. A Deletebutton can be used to remove it.<o:p></o:p></span></p>2569 multipliers M1, M2, … and C can be changed via the ‘Edit’ 2570 button. The keyword ‘CONSTR’ marks it as a constraint. A Delete 2571 button can be used to remove it.<o:p></o:p></span></p> 2418 2572 2419 2573 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; … … 2445 2599 <p class=MsoNormal>In this window is tabulated the results of your sequential 2446 2600 refinement. The columns are the parameter names; the naming convention is 2447 ‘p <span class=GramE>:h:name:n’</span> where p is the phase number,2448 h is the histogram number, name is the parameter name, and num (if needed) is 2449 the item number (e.g. atom number). The rows are the data sets used in the 2450 sequentialrefinement.</p>2601 ‘p:h:name:n’ where p is the phase number, h is the histogram 2602 number, name is the parameter name, and num (if needed) is the item number 2603 (e.g. atom number). The rows are the data sets used in the sequential 2604 refinement.</p> 2451 2605 2452 2606 <h5><span style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<o:p></o:p></span></h5> … … 2487 2641 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Analyze</span></b></span><span 2488 2642 style='mso-bookmark:Comments'><span style='mso-fareast-font-family:"Times New Roman"'> 2489 – this produces a ‘normal probability’ plot for the refinement2490 re sult as bounded by the limits. The slope and intercept of the curve inthe2491 c entral region (-1 < </span></span><span style='mso-bookmark:Comments'><span2492 style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>D</span></span><span2643 – this produces a ‘normal probability’ plot for the 2644 refinement result as bounded by the limits. The slope and intercept of the 2645 curve in the central region (-1 < </span></span><span style='mso-bookmark: 2646 Comments'><span style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>D</span></span><span 2493 2647 style='mso-bookmark:Comments'><span style='mso-fareast-font-family:"Times New Roman"'>/</span></span><span 2494 2648 style='mso-bookmark:Comments'><span style='font-family:Symbol;mso-fareast-font-family: … … 2552 2706 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 2553 2707 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Copy</span></b><span 2554 style='mso-fareast-font-family:"Times New Roman"'> – this copies the 2555 limitsshown to other selected powder patterns. If used, a dialog box (Copy2708 style='mso-fareast-font-family:"Times New Roman"'> – this copies the limits 2709 shown to other selected powder patterns. If used, a dialog box (Copy 2556 2710 Parameters) will appear showing the list of available powder patterns, you can 2557 2711 copy the limits parameters to any or all of them; select ‘All’ to … … 2565 2719 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>This 2566 2720 window shows the choice of background functions and coefficients to be used in 2567 fitting this powder pattern. There are three types of contributions available for2568 the background:<o:p></o:p></span></p>2569 2570 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>1). 2571 Acontinuous empirical function (‘<span class=SpellE>chebyschev</span>’,2572 ‘cosine’, ‘<span class=SpellE> <span class=GramE>lin</span></span>2573 interpolate’, ‘inv interpolate’ & ‘log 2574 interpolate’). The latter three select fixed points with spacing that is <span 2575 class=GramE>either equal</span>, inversely equal or equal on a log scale of the 2576 x-coordinate. The set of magnitudes at each point then comprise the background 2577 variables. All are refined when refine isselected.<o:p></o:p></span></p>2721 fitting this powder pattern. There are three types of contributions available 2722 for the background:<o:p></o:p></span></p> 2723 2724 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>1). A 2725 continuous empirical function (‘<span class=SpellE>chebyschev</span>’, 2726 ‘cosine’, ‘<span class=SpellE>lin</span> interpolate’, 2727 ‘inv interpolate’ & ‘log interpolate’). The latter 2728 three select fixed points with spacing that is either equal, inversely equal or 2729 equal on a log scale of the x-coordinate. The set of magnitudes at each point 2730 then comprise the background variables. All are refined when refine is 2731 selected.<o:p></o:p></span></p> 2578 2732 2579 2733 <p class=MsoNormal style='tab-stops:0in'><span style='mso-fareast-font-family: … … 2620 2774 1'> </span><o:p></o:p></span></p> 2621 2775 2622 <p class=MsoNormal><span class=GramE><span style='mso-fareast-font-family:"Times New Roman"'>where</span></span><span 2623 style='mso-fareast-font-family:"Times New Roman"'> A,R & U are the possible 2624 variables and can be individually selected as desired; Q = 2</span><span 2625 style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>p</span><span 2626 style='mso-fareast-font-family:"Times New Roman"'>/d.<o:p></o:p></span></p> 2776 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>where 2777 A,R & U are the possible variables and can be individually selected as 2778 desired; Q = 2</span><span style='font-family:Symbol;mso-fareast-font-family: 2779 "Times New Roman"'>p</span><span style='mso-fareast-font-family:"Times New Roman"'>/d.<o:p></o:p></span></p> 2627 2780 2628 2781 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>3). 2629 2782 A set of individual Bragg peaks using the pseudo-Voigt profile function as 2630 their shapes. Their parameters are ‘<span class=SpellE>pos</span>’, 2631 ’<span class=SpellE>int</span>’, ‘sig’ & 2632 ‘gam’; each can be selected for refinement. The default values for 2633 sig & gam (=0.10) are for very sharp peaks, you may adjust them accordingly 2634 to the kind of peak you are trying to fit before trying to refine them.<o:p></o:p></span></p> 2783 their shapes. Their parameters are ‘pos’, ’<span 2784 class=SpellE>int</span>’, ‘sig’ & ‘<span 2785 class=SpellE>gam</span>’; each can be selected for refinement. The 2786 default values for sig & gam (=0.10) are for very sharp peaks, you may 2787 adjust them accordingly to the kind of peak you are trying to fit before trying 2788 to refine them.<o:p></o:p></span></p> 2635 2789 2636 2790 <h5><span style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<o:p></o:p></span></h5> … … 2825 2979 profile coefficients. <b style='mso-bidi-font-weight:normal'>NB</b>: In certain 2826 2980 circumstances some choices are ignored e.g. Zero is not refined during peak 2827 fitting. Also some choices may lead to unstable refinement, e.g. <span2828 class=GramE>Lam</span> refinement and lattice parameter refinement. Examine the 2829 ‘</span><ahref="#Covariance"><span style='mso-fareast-font-family:"Times New Roman"'>Covariance’</span></a><span2830 style='mso-fareast-font-family:"Times New Roman"'> display for highly correlated2831 parameters.<o:p></o:p></span></p>2981 fitting. Also some choices may lead to unstable refinement, e.g. Lam refinement 2982 and lattice parameter refinement. Examine the ‘</span><a 2983 href="#Covariance"><span style='mso-fareast-font-family:"Times New Roman"'>Covariance’</span></a><span 2984 style='mso-fareast-font-family:"Times New Roman"'> display for highly 2985 correlated parameters.<o:p></o:p></span></p> 2832 2986 2833 2987 <h4><a name="Sample_Parameters"></a><u><span style='mso-fareast-font-family: … … 2884 3038 appear showing the list of available powder patterns, you can copy the sample 2885 3039 parameter refinement flags to any or all of them; select ‘All’ to 2886 copy them to all patterns. Then select ‘OK’ to do the copy; ‘Cancel’2887 to cancel the operation. <o:p></o:p></span></span></span></p>3040 copy them to all patterns. Then select ‘OK’ to do the copy; 3041 ‘Cancel’ to cancel the operation. <o:p></o:p></span></span></span></p> 2888 3042 2889 3043 <h4><span style='mso-bookmark:Peak_List'><span style='mso-bookmark:Powder_Peaks'><span … … 2973 3127 style='mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight: 2974 3128 normal;mso-bidi-font-weight:bold'>– this resets the values of sigma and 2975 gamma to those computed from the instrument parameters U, V, W, <span 2976 class=GramE>X</span> & Y.<o:p></o:p></span></span></h5> 3129 gamma to those computed from the instrument parameters U, V, W, X & Y.<o:p></o:p></span></span></h5> 2977 3130 2978 3131 <h5 style='margin-left:1.0in;text-indent:-.25in;mso-list:l9 level2 lfo12; … … 2994 3147 peaks to the Peak list using the mouse on the plot by: 1) position the pointer 2995 3148 near to the top point on a peak, 2) press the left mouse button. The selected 2996 peak will be added to the Peak List in its correct sorted order and a blue vertical2997 line will be plotted on that position. Be sure that the Zoom/Pan buttons are 2998 not selected on the Plot window. We recommend that you begin picking peaks from 2999 the right side of the pattern; that way the tool tip won’t be in your way 3000 as you select peaks.<o:p></o:p></span></span></h5>3149 peak will be added to the Peak List in its correct sorted order and a blue 3150 vertical line will be plotted on that position. Be sure that the Zoom/Pan 3151 buttons are not selected on the Plot window. We recommend that you begin 3152 picking peaks from the right side of the pattern; that way the tool tip 3153 won’t be in your way as you select peaks.<o:p></o:p></span></span></h5> 3001 3154 3002 3155 <h5 style='margin-left:.5in;text-indent:-.25in;mso-list:l9 level1 lfo12'><span … … 3104 3257 <p class=MsoNormal>This window </p> 3105 3258 3106 <h4><a name="I_Q"></a><span class=GramE><span style='mso-fareast-font-family: 3107 "Times New Roman"'>I(</span></span><span style='mso-fareast-font-family:"Times New Roman"'>Q), 3259 <h4><a name="I_Q"></a><span style='mso-fareast-font-family:"Times New Roman"'>I(Q), 3108 3260 <a name="S_Q"></a>S(Q), <a name="F_Q"></a>F(Q) & <a name="G_R"></a>G(R)<o:p></o:p></span></h4> 3109 3261 … … 3207 3359 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Space 3208 3360 group</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 3209 – this should be set when the phase is initialized; it can be changed 3210 later. Be careful about the impact on Atom site symmetry and multiplicity if 3211 you do. GSAS-II will recognize any legal space group symbol using the short 3212 Hermann-<span class=SpellE>Mauguin</span> forms; put a space between the axial 3213 fields (e.g. ‘F d 3 m’ not ‘Fd3m’). For space groups 3214 with a choice of origin (e.g. F d 3 m), GSAS-II always uses the 2<sup>nd</sup> 3215 setting where the center of inversion is located at the origin. The choice of 3216 space groupwill set the available unit cell parameters.<u><o:p></o:p></u></span></p>3361 – this should be set when the phase is initialized; it can be changed later. 3362 Be careful about the impact on Atom site symmetry and multiplicity if you do. 3363 GSAS-II will recognize any legal space group symbol using the short Hermann-<span 3364 class=SpellE>Mauguin</span> forms; put a space between the axial fields (e.g. 3365 ‘F d 3 m’ not ‘Fd3m’). For space groups with a choice 3366 of origin (e.g. F d 3 m), GSAS-II always uses the 2<sup>nd</sup> setting where 3367 the center of inversion is located at the origin. The choice of space group 3368 will set the available unit cell parameters.<u><o:p></o:p></u></span></p> 3217 3369 3218 3370 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3222 3374 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>Refine 3223 3375 unit cell</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 3224 – set this flag to refine the unit cell parameters in a Rietveld or Pawley 3225 refinement. The actual parameters refined are the symmetry allowed terms (A<sub>0</sub>-A<sub>5</sub>) 3226 in the expression</span><i style='mso-bidi-font-style:normal'><span 3227 style='font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman"'><br> 3376 – set this flag to refine the unit cell parameters in a Rietveld or 3377 Pawley refinement. The actual parameters refined are the symmetry allowed terms 3378 (A<sub>0</sub>-A<sub>5</sub>) in the expression</span><i style='mso-bidi-font-style: 3379 normal'><span style='font-family:"Cambria Math","serif";mso-fareast-font-family: 3380 "Times New Roman"'><br> 3228 3381 </span></i><!--[if gte msEquation 12]><m:oMathPara><m:oMath><m:sSup><m:sSupPr><span 3229 3382 style='font-family:"Cambria Math","serif";mso-ascii-font-family:"Cambria Math"; … … 3323 3476 auto;text-indent:-.25in;mso-list:l0 level2 lfo14'><![if !supportLists]><span 3324 3477 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 3325 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3326 class=GramE><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 3327 "Times New Roman"'>a</span></b></span><b style='mso-bidi-font-weight:normal'><span 3328 style='mso-fareast-font-family:"Times New Roman"'>, b, c, alpha, beta, gamma</span></b><span 3329 style='mso-fareast-font-family:"Times New Roman"'> – lattice parameters; 3330 only those permitted by the space group are shown. The volume is computed from 3331 the values entered.<u><o:p></o:p></u></span></p> 3478 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3479 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>a, 3480 b, c, alpha, beta, gamma</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 3481 – lattice parameters; only those permitted by the space group are shown. 3482 The volume is computed from the values entered.<u><o:p></o:p></u></span></p> 3332 3483 3333 3484 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l0 level1 lfo14'><![if !supportLists]><span … … 3421 3572 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Double 3422 3573 left click a Style, Label or Color column: a dialog box is shown that allows 3423 you to select a rendering option for all the atoms. For Color a color choice 3424 dialog is displayed that covers the entire color spectrum. Choose a color by 3425 any of the means available, press the “Add to Custom Colors”, 3426 select that color in the Custom colors display and then press OK. <b 3427 style='mso-bidi-font-weight:normal'>NB</b>: selecting Color will make all atoms 3428 have the same color and for Style “blank” means the atoms 3429 aren’t rendered and thus theplot will not show any atoms or bonds!</p>3574 you to select a rendering option for all the atoms. For Color a color choice dialog 3575 is displayed that covers the entire color spectrum. Choose a color by any of 3576 the means available, press the “Add to Custom Colors”, select that 3577 color in the Custom colors display and then press OK. <b style='mso-bidi-font-weight: 3578 normal'>NB</b>: selecting Color will make all atoms have the same color and for 3579 Style “blank” means the atoms aren’t rendered and thus the 3580 plot will not show any atoms or bonds!</p> 3430 3581 3431 3582 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l10 level1 lfo15'><![if !supportLists]><span … … 3534 3685 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3535 3686 style='mso-bidi-font-weight:normal'>Dist. Ang.</b> <b style='mso-bidi-font-weight: 3536 normal'>Tors. </b>– <span class=GramE>when</span> 2-4 atoms are selected, 3537 a distance, angle or torsion angle will be found for them. The angles are 3538 computed for the atoms in their selection order. The torsion angle is a right 3539 hand angle about the A2-A3 vector for the sequence of atoms A1-A2-A3-A4. An 3540 estimated standard deviation is given for the calculated value if a current 3541 variance-covariance matrix is available. The result is shown on the console 3542 window; it may be cut & pasted to another application (e.g. Microsoft 3543 Word).</p> 3687 normal'>Tors. </b>– when 2-4 atoms are selected, a distance, angle or 3688 torsion angle will be found for them. The angles are computed for the atoms in 3689 their selection order. The torsion angle is a right hand angle about the A2-A3 3690 vector for the sequence of atoms A1-A2-A3-A4. An estimated standard deviation 3691 is given for the calculated value if a current variance-covariance matrix is 3692 available. The result is shown on the console window; it may be cut & 3693 pasted to another application (e.g. Microsoft Word).</p> 3544 3694 3545 3695 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; … … 3585 3735 set as ‘Pawley <span class=SpellE>dmin</span>’ in the General tab 3586 3736 for this phase. By default the refine flags are not set and the <span 3587 class=SpellE><span class=GramE>Fsq</span></span><span class=GramE>(</span><span 3588 class=SpellE>hkl</span>) = 100.0.</p> 3737 class=SpellE>Fsq</span>(<span class=SpellE>hkl</span>) = 100.0.</p> 3589 3738 3590 3739 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3593 3742 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3594 3743 style='mso-bidi-font-weight:normal'>Pawley estimate</b> – this attempts 3595 an estimate of <span class=SpellE><span class=GramE>Fsq</span></span><span 3596 class=GramE>(</span><span class=SpellE>hkl</span>) from the peak heights of the 3597 reflection as seen in the 1<sup>st</sup> powder pattern of those selected in 3598 the <a href="#Data">Data</a> tab.</p> 3744 an estimate of <span class=SpellE>Fsq</span>(<span class=SpellE>hkl</span>) 3745 from the peak heights of the reflection as seen in the 1<sup>st</sup> powder 3746 pattern of those selected in the <a href="#Data">Data</a> tab.</p> 3599 3747 3600 3748 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3618 3766 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 3619 3767 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>You 3620 can change the individual <span class=SpellE><span class=GramE>Fsq</span></span><span 3621 class=GramE>(</span><span class=SpellE>hkl</span>) values by selecting it, 3622 typing in the new value and then pressing enter or selecting somewhere else in 3623 the table.</p> 3768 can change the individual <span class=SpellE>Fsq</span>(<span class=SpellE>hkl</span>) 3769 values by selecting it, typing in the new value and then pressing enter or 3770 selecting somewhere else in the table.</p> 3624 3771 3625 3772 <p class=MsoListParagraphCxSpLast><o:p> </o:p></p> … … 3629 3776 <span style='mso-bookmark:Map_peaks'></span> 3630 3777 3631 <p class=MsoNormal>This gives the list (magnitude, x y & z) of all peaks 3632 foundwithin the unit cell from the last Fourier map search sorted in order of3778 <p class=MsoNormal>This gives the list (magnitude, x y & z) of all peaks found 3779 within the unit cell from the last Fourier map search sorted in order of 3633 3780 decreasing peak magnitude. The crystal structure plot shows each peak position 3634 3781 as a white 3-D cross.</p> … … 3658 3805 name ‘UNK’ and the atom type as ‘H’. They will also be 3659 3806 drawn as small white spheres at their respective positions in the structure 3660 drawing. You should next go to the <a href="gsasII.html">Atoms</a> page and change 3661 the atom type to whatever element you desire; it will be renamed automatically.</p> 3807 drawing. You should next go to the <a href="gsasII.html">Atoms</a> page and 3808 change the atom type to whatever element you desire; it will be renamed 3809 automatically.</p> 3662 3810 3663 3811 <p class=MsoListParagraphCxSpLast style='margin-left:1.0in;mso-add-space:auto; … … 3690 3838 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>This 3691 3839 window presents all the graphical material as a multipage tabbed set of plots 3692 utilizing the <span class=SpellE>matplotlib</span> python package. Each page has3693 a tool bar (at bottom in Windows) with the controls<o:p></o:p></span></p>3840 utilizing the <span class=SpellE>matplotlib</span> python package. Each page 3841 has a tool bar (at bottom in Windows) with the controls<o:p></o:p></span></p> 3694 3842 3695 3843 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"; … … 3746 3894 3747 3895 <p class=MsoNormal><span style='mso-fareast-font-family:"Times New Roman"'>The 3748 powder patterns that are part of your project are shown on this page. They can 3749 be displayed as a stack of powder patterns, just a single pattern or as a 3750 contour image of the peak intensities. What can be done here will depend on 3751 which is displayed and on which item in the GSAS-II data tree you have 3752 selected.<o:p></o:p></span></p> 3896 powder patterns that are part of your project are shown on this page. They can be 3897 displayed as a stack of powder patterns, just a single pattern or as a contour 3898 image of the peak intensities. What can be done here will depend on which is 3899 displayed and on which item in the GSAS-II data tree you have selected.<o:p></o:p></span></p> 3753 3900 3754 3901 <h5><span style='mso-fareast-font-family:"Times New Roman"'>What can I do here?<o:p></o:p></span></h5> … … 3775 3922 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3776 3923 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 3777 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3778 class=GramE><b style='mso-bidi-font-weight:normal'>l</b></span><b 3779 style='mso-bidi-font-weight:normal'>: offset left</b> – for a waterfall 3924 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3925 style='mso-bidi-font-weight:normal'>l: offset left</b> – for a waterfall 3780 3926 plot of multiple powder profiles, increase the offset to the left. Does not 3781 3927 apply if only one pattern.</p> … … 3784 3930 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3785 3931 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>b.<span 3786 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3787 class=GramE><b style='mso-bidi-font-weight:normal'>r</b></span><b 3788 style='mso-bidi-font-weight:normal'>: offset right</b> - for a waterfall plot 3932 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3933 style='mso-bidi-font-weight:normal'>r: offset right</b> - for a waterfall plot 3789 3934 of multiple powder profiles, increase the offset to the left. Does not apply if 3790 3935 only one pattern.</p> … … 3793 3938 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3794 3939 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 3795 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3796 class=GramE><b style='mso-bidi-font-weight:normal'>d</b></span><b 3797 style='mso-bidi-font-weight:normal'>: offset down</b> - for a waterfall plot of 3798 multiple powder profiles, increase the offset down. Does not apply if only one 3799 pattern.</p> 3940 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3941 style='mso-bidi-font-weight:normal'>d: offset down</b> - for a waterfall plot 3942 of multiple powder profiles, increase the offset down. Does not apply if only 3943 one pattern.</p> 3800 3944 3801 3945 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 3802 3946 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3803 3947 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 3804 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3805 class=GramE><b style='mso-bidi-font-weight:normal'>u</b></span><b 3806 style='mso-bidi-font-weight:normal'>: offset up</b> - for a waterfall plot of 3807 multiple powder profiles, increase the offset up. Does not apply if only one 3808 pattern.</p> 3948 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3949 style='mso-bidi-font-weight:normal'>u: offset up</b> - for a waterfall plot of multiple 3950 powder profiles, increase the offset up. Does not apply if only one pattern.</p> 3809 3951 3810 3952 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 3811 3953 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3812 3954 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 3813 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3814 class=GramE><b style='mso-bidi-font-weight:normal'>o</b></span><b 3815 style='mso-bidi-font-weight:normal'>: reset offset</b> - for a waterfall plot 3955 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3956 style='mso-bidi-font-weight:normal'>o: reset offset</b> - for a waterfall plot 3816 3957 of multiple powder profiles, reset to no offset. Does not apply if only one 3817 3958 pattern.</p> … … 3820 3961 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3821 3962 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>f.<span 3822 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3823 class=GramE><b style='mso-bidi-font-weight:normal'>n</b></span><b 3824 style='mso-bidi-font-weight:normal'>: log(I) on/off</b> – changes the 3963 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3964 style='mso-bidi-font-weight:normal'>n: log(I) on/off</b> – changes the 3825 3965 y-axis to be the log10 of the intensity; difference curve is not shown for 3826 3966 log(I) on.</p> … … 3829 3969 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3830 3970 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>g.<span 3831 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3832 class=GramE><b style='mso-bidi-font-weight:normal'>c</b></span><b 3833 style='mso-bidi-font-weight:normal'>: contour on/off</b> – if multiple 3971 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 3972 style='mso-bidi-font-weight:normal'>c: contour on/off</b> – if multiple 3834 3973 powder profiles, then a contour plot is shown of the observed intensities. All 3835 data sets must be the same length as the first one to be included in the 3836 contourplot.</p>3974 data sets must be the same length as the first one to be included in the contour 3975 plot.</p> 3837 3976 3838 3977 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3849 3988 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>i.<span 3850 3989 style='font:7.0pt "Times New Roman"'> 3851 </span></span></span><![endif]><span class=GramE><b style='mso-bidi-font-weight: 3852 normal'>s</b></span><b style='mso-bidi-font-weight:normal'>: toggle single plot</b> 3853 – for multiple powder profiles, this will show only the one selected from 3854 the data tree. The offset options are not active.</p> 3990 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>s: toggle 3991 single plot</b> – for multiple powder profiles, this will show only the 3992 one selected from the data tree. The offset options are not active.</p> 3855 3993 3856 3994 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3858 3996 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>j.<span 3859 3997 style='font:7.0pt "Times New Roman"'> 3860 </span></span></span><![endif]><span class=GramE><b style='mso-bidi-font-weight: 3861 normal'>w</b></span><b style='mso-bidi-font-weight:normal'>: toggle divide by 3862 sig</b> – for the pattern selected from the data tree, this will divide 3863 the observed, calculated and difference curves by the <span class=SpellE>esd</span> 3864 for the data points. Other data sets are not shown.</p> 3998 </span></span></span><![endif]><b style='mso-bidi-font-weight:normal'>w: toggle 3999 divide by sig</b> – for the pattern selected from the data tree, this 4000 will divide the observed, calculated and difference curves by the <span 4001 class=SpellE>esd</span> for the data points. Other data sets are not shown.</p> 3865 4002 3866 4003 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3880 4017 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3881 4018 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>a.<span 3882 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3883 class=GramE><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 3884 "Times New Roman"'>d</span></b></span><b style='mso-bidi-font-weight:normal'><span 3885 style='mso-fareast-font-family:"Times New Roman"'>: lower contour max</span></b><span 3886 style='mso-fareast-font-family:"Times New Roman"'> – this lowers the 3887 level chosen for the highest contour color.<o:p></o:p></span></p> 4019 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4020 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>d: 4021 lower contour max</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4022 – this lowers the level chosen for the highest contour color.<o:p></o:p></span></p> 3888 4023 3889 4024 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: … … 3898 4033 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3899 4034 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>c.<span 3900 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3901 class=GramE><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 3902 "Times New Roman"'>i</span></b></span><b style='mso-bidi-font-weight:normal'><span 3903 style='mso-fareast-font-family:"Times New Roman"'>: interpolation method</span></b><span 3904 style='mso-fareast-font-family:"Times New Roman"'> – this changes the 3905 method used to represent the contours. If selected a dialog box appears with 3906 all the possible choices. Default is ‘nearest’; the other useful 3907 choice is ‘bilinear’, this will smooth out the contours. <o:p></o:p></span></p> 4035 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4036 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>i: 4037 interpolation method</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4038 – this changes the method used to represent the contours. If selected a 4039 dialog box appears with all the possible choices. Default is 4040 ‘nearest’; the other useful choice is ‘bilinear’, this 4041 will smooth out the contours. <o:p></o:p></span></p> 3908 4042 3909 4043 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 3910 4044 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3911 4045 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>d.<span 3912 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3913 class=GramE><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 3914 "Times New Roman"'>s</span></b></span><b style='mso-bidi-font-weight:normal'><span 3915 style='mso-fareast-font-family:"Times New Roman"'>: color scheme</span></b><span 3916 style='mso-fareast-font-family:"Times New Roman"'> – this changes the 3917 color scheme for the contouring. Default is <span class=GramE>‘Paired’,</span> 3918 black/ white options are ‘Greys’ and ‘binary’ (for 3919 black on white) or ‘gray’ (for white on black). Others can be very 3920 colorful (but not useful)!<o:p></o:p></span></p> 4046 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4047 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>s: 4048 color scheme</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4049 – this changes the color scheme for the contouring. Default is 4050 ‘Paired’, black/ white options are ‘Greys’ and 4051 ‘binary’ (for black on white) or ‘gray’ (for white on 4052 black). Others can be very colorful (but not useful)!<o:p></o:p></span></p> 3921 4053 3922 4054 <p class=MsoListParagraphCxSpMiddle style='margin-left:1.0in;mso-add-space: 3923 4055 auto;text-indent:-.25in;mso-list:l4 level2 lfo22;tab-stops:list 1.0in'><![if !supportLists]><span 3924 4056 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>e.<span 3925 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><span 3926 class=GramE><b style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family: 3927 "Times New Roman"'>c</span></b></span><b style='mso-bidi-font-weight:normal'><span 3928 style='mso-fareast-font-family:"Times New Roman"'>: contour off/on</span></b><span 3929 style='mso-fareast-font-family:"Times New Roman"'> – this turns off 3930 contouring and returns to a waterfall plot with any offsets applied.<o:p></o:p></span></p> 4057 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]><b 4058 style='mso-bidi-font-weight:normal'><span style='mso-fareast-font-family:"Times New Roman"'>c: 4059 contour off/on</span></b><span style='mso-fareast-font-family:"Times New Roman"'> 4060 – this turns off contouring and returns to a waterfall plot with any 4061 offsets applied.<o:p></o:p></span></p> 3931 4062 3932 4063 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l4 level1 lfo22'><![if !supportLists]><span … … 3973 4104 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Move 3974 4105 the mouse cursor across the plot. If on a diagonal cell, the parameter name, 3975 value and <span class=SpellE>esd</span> is shown both as a tool tip and in the 3976 right hand portion of the status bar. If the cursor is off the diagonal, the 3977 two parameter names and their covariance are shown in the tool tip and the 3978 statusbar.</p>4106 value and <span class=SpellE>esd</span> is shown both as a tool tip and in the right 4107 hand portion of the status bar. If the cursor is off the diagonal, the two 4108 parameter names and their covariance are shown in the tool tip and the status 4109 bar.</p> 3979 4110 3980 4111 <p class=MsoListParagraphCxSpMiddle style='text-indent:-.25in;mso-list:l7 level1 lfo23'><![if !supportLists]><span … … 3986 4117 <p class=MsoListParagraphCxSpLast style='text-indent:-.25in;mso-list:l7 level1 lfo23'><![if !supportLists]><span 3987 4118 style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>3.<span 3988 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]> <span3989 class=GramE>Type ‘s’</span> – A color scheme selection dialog 3990 is shown. Select a color scheme and press <span class=GramE>OK,</span> the new 3991 color scheme will be plotted. The default is‘<span class=SpellE>RdYlGn</span>’.</p>4119 style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Type 4120 ‘s’ – A color scheme selection dialog is shown. Select a 4121 color scheme and press OK, the new color scheme will be plotted. The default is 4122 ‘<span class=SpellE>RdYlGn</span>’.</p> 3992 4123 3993 4124 <h4><a name="Structure_Factors"><span style='mso-fareast-font-family:"Times New Roman"'>Structure … … 4023 4154 style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>D</span><span 4024 4155 style='mso-fareast-font-family:"Times New Roman"'>q/q) <span class=SpellE>vs</span> 4025 <span class=GramE>q(</span>=2</span><span style='font-family:Symbol;mso-fareast-font-family: 4026 "Times New Roman"'>p</span><span style='mso-fareast-font-family:"Times New Roman"'>/d) 4027 from the Gaussian and Lorentzian parts of the profile function. The computed 4028 curves are based on the values of U, V, W, X and Y shown in the Instrument 4029 Parameters window in parentheses. These are the values for the instrument 4030 contribution that were set when the powder pattern was first read in to 4031 GSAS-II. If individual peak fitting has been performed, the values of 4032 ‘sig’ & ‘gam’ for the peaks are plotted as 4033 ‘+’; these are computed from the fitted values of U, V, W, X and Y 4034 as well as any sig or gam individually refined.<o:p></o:p></span></p> 4156 q(=2</span><span style='font-family:Symbol;mso-fareast-font-family:"Times New Roman"'>p</span><span 4157 style='mso-fareast-font-family:"Times New Roman"'>/d) from the Gaussian and 4158 Lorentzian parts of the profile function. The computed curves are based on the 4159 values of U, V, W, X and Y shown in the Instrument Parameters window in 4160 parentheses. These are the values for the instrument contribution that were set 4161 when the powder pattern was first read in to GSAS-II. If individual peak fitting 4162 has been performed, the values of ‘sig’ & ‘gam’ for 4163 the peaks are plotted as ‘+’; these are computed from the fitted 4164 values of U, V, W, X and Y as well as any sig or gam individually refined.<o:p></o:p></span></p> 4035 4165 4036 4166 <h4><span style='mso-fareast-font-family:"Times New Roman"'>Texture </span></h4> -
trunk/help/gsasII_files/filelist.xml
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