Changeset 3604
- Timestamp:
- Sep 15, 2018 7:55:29 PM (5 years ago)
- Location:
- Tutorials/SimpleMagnetic
- Files:
-
- 2 added
- 57 edited
Legend:
- Unmodified
- Added
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Tutorials/SimpleMagnetic/SimpleMagnetic.htm
r3559 r3604 23 23 <o:Author>Von Dreele</o:Author> 24 24 <o:LastAuthor>vondreele</o:LastAuthor> 25 <o:Revision> 18</o:Revision>26 <o:TotalTime>62 02</o:TotalTime>25 <o:Revision>20</o:Revision> 26 <o:TotalTime>6224</o:TotalTime> 27 27 <o:Created>2017-08-09T17:16:00Z</o:Created> 28 <o:LastSaved>2018-0 7-18T19:51:00Z</o:LastSaved>28 <o:LastSaved>2018-09-16T00:43:00Z</o:LastSaved> 29 29 <o:Pages>1</o:Pages> 30 30 <o:Words>5837</o:Words> … … 44 44 <!--[if gte mso 9]><xml> 45 45 <w:WordDocument> 46 <w:Zoom>1 32</w:Zoom>46 <w:Zoom>156</w:Zoom> 47 47 <w:SpellingState>Clean</w:SpellingState> 48 48 <w:GrammarState>Clean</w:GrammarState> … … 1720 1720 src="SimpleMagnetic_files/image001.png" v:shapes="Picture_x0020_1"><![endif]></span></p> 1721 1721 1722 <<<<<<< .mine 1723 <p class=MsoNormal>To have this result, one assumes that the neutron beam is 1724 not polarized, the sample has no texture and there is only elastic scattering. 1725 The first term is the ordinary nuclear structure factor found for all 1726 crystalline materials and the second is the magnetic scattering. Note that the 1727 result is a sum of squares implying that the nuclear and magnetic scattering 1728 intensities are summed to give the total that is measured in a magnetic powder 1729 diffraction experiment. This allows us to model the structure as two separate 1730 crystalline phases; one consists of the chemical arrangement of all the atoms 1731 in the crystal structure described with a conventional unit cell and space 1732 group, and the other contains only the magnetic atoms in a perhaps different 1733 unit cell with a magnetic space group to describe the atom and magnetic moment 1734 ||||||| .r3550 1735 <p class=MsoNormal>To have this result, one assumes that the neutron beam is not 1736 polarized, the sample has no texture and there is only elastic scattering. The 1737 first term is the ordinary nuclear structure factor found for all crystalline 1738 materials and the second is the magnetic scattering. Note that the result is a 1739 sum of squares implying that the nuclear and magnetic scattering intensities 1740 are summed to give the total that is measured in a magnetic powder diffraction 1741 experiment. This allows us to model the structure as two separate crystalline 1742 phases; one consists of the chemical arrangement of all the atoms in the 1743 crystal structure described with a conventional unit cell and space group, and 1744 the other contains only the magnetic atoms in a perhaps different unit cell 1745 with a magnetic space group to describe the atom and magnetic moment 1746 ======= 1722 1747 <p class=MsoNormal>To have this result, one assumes that the neutron beam is not 1723 1748 polarized, the sample has no texture and there is only elastic scattering. The … … 1732 1757 the other contains only the magnetic atoms in a perhaps different unit cell 1733 1758 with a magnetic space group to describe the atom and magnetic moment 1759 >>>>>>> .r3603 1734 1760 arrangement (the magnetic structure). 1735 1761 Needless to say the magnetic ions only have one set of positions, … … 1895 1921 doesnt want to use the two very broad peaks at the upper end of the pattern as 1896 1922 they dont contain much information for the magnetic structure. One also should 1897 be careful in selecting he lower limit especially for magnetic structure1923 be careful in selecting the lower limit especially for magnetic structure 1898 1924 studies as a small peak may be hidden at low angles that can decisively 1899 1925 determine a magnetic structure (there are none in this example, but … … 2094 2120 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: 2095 2121 auto'>This is the reflection set for the <span class=SpellE>Bravais</span> 2122 <<<<<<< .mine 2123 lattice <span class=SpellE>Pmmm</span> which includes reflections that may be 2124 space group extinct and/or magnetically extinct. NB: a reflection that is space 2125 group extinct could still be allowed for magnetic scattering.</p> 2126 ||||||| .r3550 2127 lattice <span class=SpellE>Pmmm</span> which includes <span class=SpellE>relections</span> 2128 that may be space group extinct and/or magnetically extinct. BN: a reflection 2129 that is space group extinct could still be allowed for magnetic scattering.</p> 2130 ======= 2096 2131 lattice <span class=SpellE>Pmmm</span> which includes <span class=SpellE>relections</span> 2097 2132 that may be space group extinct and/or magnetically extinct. N.B., a reflection 2098 2133 that is extinct due to the chemical structure space group could still be allowed for magnetic scattering.</p> 2134 >>>>>>> .r3603 2099 2135 2100 2136 <p class=MsoListParagraphCxSpMiddle style='margin-left:.25in;mso-add-space: … … 2140 2176 magnetically extinct. There are others that show for <span class=SpellE>Pmmm</span> 2141 2177 but vanish for <span class=SpellE>Pnma</span> and have no visible intensity. We 2142 dont know yet if they are magnetically allowed , butare zero because of the2178 dont know yet if they are magnetically allowed or are zero because of the 2143 2179 magnetic moment direction.</p> 2144 2180 … … 2254 2290 2255 2291 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2256 id="Picture_x0020_7 6" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:274.5pt;2257 height:3 27pt;visibility:visible;mso-wrap-style:square'>2258 <v:imagedata src="SimpleMagnetic_files/image0 29.png" o:title=""/>2259 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=4 362260 src="SimpleMagnetic_files/image0 29.png" v:shapes="Picture_x0020_76"><![endif]></span></p>2292 id="Picture_x0020_79" o:spid="_x0000_i1083" type="#_x0000_t75" style='width:274.5pt; 2293 height:315pt;visibility:visible;mso-wrap-style:square'> 2294 <v:imagedata src="SimpleMagnetic_files/image092.png" o:title=""/> 2295 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=420 2296 src="SimpleMagnetic_files/image092.png" v:shapes="Picture_x0020_79"><![endif]></span></p> 2261 2297 2262 2298 <p class=MsoNormal>The order of operations for the transformation is given at 2263 the top of the window; the U vector permits applying an origin shift to the atom2264 coordinates before the transformation and the V vector is for an origin shift 2265 after the transformation. The lattice parameters are transformed by changing 2266 the metric tensor via</p>2299 the top of the window; the U vector permits applying an origin shift to the 2300 atom coordinates before the transformation and the V vector is for an origin 2301 shift after the transformation. The lattice parameters are transformed by 2302 changing the metric tensor via</p> 2267 2303 2268 2304 <p class=MsoNormal><o:p> </o:p></p> … … 2291 2327 2292 2328 <p class=MsoNormal>The dialog box gives an extensive list of commonly used 2293 transformations for e.g. swapping axes. In this case we are not transforming the2294 unit cell so the matrix is just the unit matrix (ones on diagonal) and we are2295 not shifting the origin so U & V are zeros. We do want the new phase to be 2296 magnetic so press the <b style='mso-bidi-font-weight:normal'><span2329 transformations for e.g. swapping axes. In this case we are not transforming 2330 the unit cell so the matrix is just the unit matrix (ones on diagonal) and we 2331 are not shifting the origin so U & V are zeros. We do want the new phase to 2332 be magnetic so press the <b style='mso-bidi-font-weight:normal'><span 2297 2333 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; 2298 2334 mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin'>Make new … … 2300 2336 2301 2337 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2302 id="Picture_x0020_ 77" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:274.5pt;2303 height:3 24.75pt;visibility:visible;mso-wrap-style:square'>2304 <v:imagedata src="SimpleMagnetic_files/image0 31.png" o:title=""/>2305 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=4 332306 src="SimpleMagnetic_files/image0 31.png" v:shapes="Picture_x0020_77"><![endif]></span></p>2338 id="Picture_x0020_80" o:spid="_x0000_i1082" type="#_x0000_t75" style='width:274.5pt; 2339 height:336pt;visibility:visible;mso-wrap-style:square'> 2340 <v:imagedata src="SimpleMagnetic_files/image093.png" o:title=""/> 2341 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=448 2342 src="SimpleMagnetic_files/image093.png" v:shapes="Picture_x0020_80"><![endif]></span></p> 2307 2343 2308 2344 <p class=MsoNormal>This allows one to select possible magnetic lattice 2309 2345 centering operations as given by the BNS nomenclature. This can be needed if 2310 one had discovered a requirement of doubling a cell axis in the previous step 2311 (e.g. a nonzero propagation vector). This is not required in this case and we2312 are using the space group (<span class=SpellE>Pnma</span>) for the magnetic 2313 cell. Leave the box at the bottom about constraints checked as we want them to 2314 t ie the two phases together.<span style='mso-spacerun:yes'> </span>Press <b2346 one had discovered a requirement of doubling a cell axis in the previous step (e.g. 2347 a nonzero propagation vector). This is not required in this case and we are 2348 using the space group (<span class=SpellE>Pnma</span>) for the magnetic cell. 2349 Leave the box at the bottom about constraints checked as we want them to tie 2350 the two phases together.<span style='mso-spacerun:yes'> </span>Press <b 2315 2351 style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri",sans-serif; 2316 2352 mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font: … … 2336 2372 <v:imagedata src="SimpleMagnetic_files/image035.png" o:title=""/> 2337 2373 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=360 2338 src="SimpleMagnetic_files/image09 2.png" v:shapes="_x0000_i1080"><![endif]></span></p>2374 src="SimpleMagnetic_files/image095.png" v:shapes="_x0000_i1080"><![endif]></span></p> 2339 2375 2340 2376 <p class=MsoNormal>The phase is named with mag appended to the end, the phase … … 2352 2388 <v:imagedata src="SimpleMagnetic_files/image037.png" o:title=""/> 2353 2389 </v:shape><![endif]--><![if !vml]><img border=0 width=517 height=353 2354 src="SimpleMagnetic_files/image09 3.png" v:shapes="_x0000_i1079"><![endif]></span></p>2390 src="SimpleMagnetic_files/image097.png" v:shapes="_x0000_i1079"><![endif]></span></p> 2355 2391 2356 2392 <p class=MsoNormal>This shows all the possible required constraints between the … … 2367 2403 2368 2404 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2369 id=" Picture_x0020_32" o:spid="_x0000_i1078" type="#_x0000_t75" style='width:386.25pt;2370 height:139.5pt;visibility:visible;mso-wrap-style:square'>2405 id="_x0000_i1078" type="#_x0000_t75" style='width:386.25pt;height:139.5pt; 2406 visibility:visible;mso-wrap-style:square'> 2371 2407 <v:imagedata src="SimpleMagnetic_files/image039.png" o:title=""/> 2372 2408 </v:shape><![endif]--><![if !vml]><img border=0 width=515 height=186 2373 src="SimpleMagnetic_files/image09 5.png" v:shapes="Picture_x0020_32"><![endif]></span></p>2374 2375 <p class=MsoNormal>This gives the constraints between the two phases for scale factors2376 (e.g. phase fractions) and the size & mustrain sample broadening terms. NB: 2377 t his assumes isotropic modelling of both because the original LaMnO<sub>3</sub>2409 src="SimpleMagnetic_files/image098.png" v:shapes="_x0000_i1078"><![endif]></span></p> 2410 2411 <p class=MsoNormal>This gives the constraints between the two phases for scale 2412 factors (e.g. phase fractions) and the size & mustrain sample broadening 2413 terms. NB: this assumes isotropic modelling of both because the original LaMnO<sub>3</sub> 2378 2414 was modeled that way. If you want to use one of the more complex sample 2379 2415 broadening models, you will have to revisit this tab and put in the appropriate … … 2403 2439 <v:imagedata src="SimpleMagnetic_files/image041.png" o:title=""/> 2404 2440 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=149 2405 src="SimpleMagnetic_files/image09 7.png" v:shapes="Picture_x0020_23"><![endif]></span></p>2441 src="SimpleMagnetic_files/image099.png" v:shapes="Picture_x0020_23"><![endif]></span></p> 2406 2442 2407 2443 <p class=MsoNormal>The boxes that carry the magnetic moment components (<span … … 2438 2474 <v:imagedata src="SimpleMagnetic_files/image043.png" o:title=""/> 2439 2475 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=308 2440 src="SimpleMagnetic_files/image 098.png" v:shapes="Picture_x0020_24"><![endif]></span></p>2476 src="SimpleMagnetic_files/image100.png" v:shapes="Picture_x0020_24"><![endif]></span></p> 2441 2477 2442 2478 <p class=MsoNormal>It now shows the magnetic space group as <span class=SpellE>Pnma</span>. … … 2450 2486 <v:imagedata src="SimpleMagnetic_files/image045.png" o:title=""/> 2451 2487 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=162 2452 src="SimpleMagnetic_files/image 099.png" v:shapes="Picture_x0020_25"><![endif]></span></p>2488 src="SimpleMagnetic_files/image101.png" v:shapes="Picture_x0020_25"><![endif]></span></p> 2453 2489 2454 2490 <p class=MsoNormal><span class=GramE>with</span> 0.0 in each of the magnetic … … 2494 2530 <v:imagedata src="SimpleMagnetic_files/image047.png" o:title=""/> 2495 2531 </v:shape><![endif]--><![if !vml]><img border=0 width=421 height=307 2496 src="SimpleMagnetic_files/image10 0.png" v:shapes="Picture_x0020_26"><![endif]></span></p>2532 src="SimpleMagnetic_files/image102.png" v:shapes="Picture_x0020_26"><![endif]></span></p> 2497 2533 2498 2534 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 2509 2545 <v:imagedata src="SimpleMagnetic_files/image049.png" o:title=""/> 2510 2546 </v:shape><![endif]--><![if !vml]><img border=0 width=444 height=225 2511 src="SimpleMagnetic_files/image10 1.png" v:shapes="Picture_x0020_34"><![endif]></span></p>2547 src="SimpleMagnetic_files/image103.png" v:shapes="Picture_x0020_34"><![endif]></span></p> 2512 2548 2513 2549 <p class=MsoNormal>Scroll down to the bottom and select <b style='mso-bidi-font-weight: … … 2525 2561 <v:imagedata src="SimpleMagnetic_files/image051.png" o:title=""/> 2526 2562 </v:shape><![endif]--><![if !vml]><img border=0 width=416 height=303 2527 src="SimpleMagnetic_files/image10 2.png" v:shapes="Picture_x0020_35"><![endif]></span></p>2563 src="SimpleMagnetic_files/image105.png" v:shapes="Picture_x0020_35"><![endif]></span></p> 2528 2564 2529 2565 <p class=MsoNormal>Now return to phases and select <b style='mso-bidi-font-weight: … … 2540 2576 <v:imagedata src="SimpleMagnetic_files/image053.png" o:title=""/> 2541 2577 </v:shape><![endif]--><![if !vml]><img border=0 width=489 height=101 2542 src="SimpleMagnetic_files/image10 3.png" v:shapes="Picture_x0020_37"><![endif]></span></p>2578 src="SimpleMagnetic_files/image107.png" v:shapes="Picture_x0020_37"><![endif]></span></p> 2543 2579 2544 2580 <p class=MsoNormal>The least squares will not begin a refinement of <span … … 2561 2597 <v:imagedata src="SimpleMagnetic_files/image055.png" o:title=""/> 2562 2598 </v:shape><![endif]--><![if !vml]><img border=0 width=618 height=567 2563 src="SimpleMagnetic_files/image10 5.png" v:shapes="Picture_x0020_30"><![endif]></span></p>2599 src="SimpleMagnetic_files/image108.png" v:shapes="Picture_x0020_30"><![endif]></span></p> 2564 2600 2565 2601 <p class=MsoNormal>There does not appear to be any calculated magnetic … … 2572 2608 <v:imagedata src="SimpleMagnetic_files/image057.png" o:title=""/> 2573 2609 </v:shape><![endif]--><![if !vml]><img border=0 width=618 height=567 2574 src="SimpleMagnetic_files/image10 7.png" v:shapes="Picture_x0020_31"><![endif]></span></p>2610 src="SimpleMagnetic_files/image109.png" v:shapes="Picture_x0020_31"><![endif]></span></p> 2575 2611 2576 2612 <p class=MsoNormal>The magnetic moment is clearly too small; to let the least … … 2585 2621 2586 2622 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 2587 id=" _x0000_i1068" type="#_x0000_t75" style='width:463.5pt;height:426pt;2588 visibility:visible;mso-wrap-style:square'>2623 id="Picture_x0020_32" o:spid="_x0000_i1068" type="#_x0000_t75" style='width:463.5pt; 2624 height:426pt;visibility:visible;mso-wrap-style:square'> 2589 2625 <v:imagedata src="SimpleMagnetic_files/image059.png" o:title=""/> 2590 2626 </v:shape><![endif]--><![if !vml]><img border=0 width=618 height=568 2591 src="SimpleMagnetic_files/image1 08.png" v:shapes="_x0000_i1068"><![endif]></span></p>2627 src="SimpleMagnetic_files/image113.png" v:shapes="Picture_x0020_32"><![endif]></span></p> 2592 2628 2593 2629 <p class=MsoNormal>This appears to be a reasonable solution; a more complete … … 2618 2654 <v:imagedata src="SimpleMagnetic_files/image061.png" o:title=""/> 2619 2655 </v:shape><![endif]--><![if !vml]><img border=0 width=621 height=351 2620 src="SimpleMagnetic_files/image1 09.png" v:shapes="Picture_x0020_33"><![endif]></span></p>2656 src="SimpleMagnetic_files/image115.png" v:shapes="Picture_x0020_33"><![endif]></span></p> 2621 2657 2622 2658 <p class=MsoNormal>Now set the spin operators to all <b style='mso-bidi-font-weight: … … 2633 2669 <v:imagedata src="SimpleMagnetic_files/image063.png" o:title=""/> 2634 2670 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=124 2635 src="SimpleMagnetic_files/image11 3.png" v:shapes="Picture_x0020_18"><![endif]></span></p>2671 src="SimpleMagnetic_files/image116.png" v:shapes="Picture_x0020_18"><![endif]></span></p> 2636 2672 2637 2673 <p class=MsoNormal>Again, one can make the same argument that since the 010 … … 2663 2699 <v:imagedata src="SimpleMagnetic_files/image065.png" o:title=""/> 2664 2700 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=568 2665 src="SimpleMagnetic_files/image11 5.png" v:shapes="Picture_x0020_19"><![endif]></span></p>2701 src="SimpleMagnetic_files/image117.png" v:shapes="Picture_x0020_19"><![endif]></span></p> 2666 2702 2667 2703 <p class=MsoNormal>There is intensity in the lowest angle reflection (the 010) … … 2686 2722 <v:imagedata src="SimpleMagnetic_files/image104.png" o:title=""/> 2687 2723 </v:shape><![endif]--><![if !vml]><img border=0 width=612 height=251 2688 src="SimpleMagnetic_files/image11 6.png" v:shapes="Picture_x0020_20"><![endif]></span></p>2724 src="SimpleMagnetic_files/image118.png" v:shapes="Picture_x0020_20"><![endif]></span></p> 2689 2725 2690 2726 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape … … 2693 2729 <v:imagedata src="SimpleMagnetic_files/image106.png" o:title=""/> 2694 2730 </v:shape><![endif]--><![if !vml]><img border=0 width=610 height=235 2695 src="SimpleMagnetic_files/image1 17.png" v:shapes="Picture_x0020_21"><![endif]></span></p>2731 src="SimpleMagnetic_files/image122.png" v:shapes="Picture_x0020_21"><![endif]></span></p> 2696 2732 2697 2733 <p class=MsoNormal>You can see in particular at the pair of peaks at 33.3 and … … 2719 2755 <v:imagedata src="SimpleMagnetic_files/image110.png" o:title=""/> 2720 2756 </v:shape><![endif]--><![if !vml]><img border=0 width=606 height=528 2721 src="SimpleMagnetic_files/image1 18.png" v:shapes="Picture_x0020_38"><![endif]></span></p>2757 src="SimpleMagnetic_files/image123.png" v:shapes="Picture_x0020_38"><![endif]></span></p> 2722 2758 2723 2759 <p class=MsoNormal>Looking at the plot, it would seem that the lattice … … 2742 2778 <v:imagedata src="SimpleMagnetic_files/image114.png" o:title=""/> 2743 2779 </v:shape><![endif]--><![if !vml]><img border=0 width=479 height=317 2744 src="SimpleMagnetic_files/image12 2.png" v:shapes="Picture_x0020_39"><![endif]></span></p>2780 src="SimpleMagnetic_files/image124.png" v:shapes="Picture_x0020_39"><![endif]></span></p> 2745 2781 2746 2782 <p class=MsoNormal>Since the scan covers a very wide range in 2<span … … 2778 2814 <v:imagedata src="SimpleMagnetic_files/image072.png" o:title=""/> 2779 2815 </v:shape><![endif]--><![if !vml]><img border=0 width=620 height=539 2780 src="SimpleMagnetic_files/image12 3.png" v:shapes="Picture_x0020_40"><![endif]></span></p>2816 src="SimpleMagnetic_files/image125.png" v:shapes="Picture_x0020_40"><![endif]></span></p> 2781 2817 2782 2818 <p class=MsoNormal>Now we can add refinement of the atom positions and thermal … … 2831 2867 <v:imagedata src="SimpleMagnetic_files/image121.png" o:title=""/> 2832 2868 </v:shape><![endif]--><![if !vml]><img border=0 width=615 height=527 2833 src="SimpleMagnetic_files/image1 24.png" v:shapes="Picture_x0020_41"><![endif]></span></p>2869 src="SimpleMagnetic_files/image131.png" v:shapes="Picture_x0020_41"><![endif]></span></p> 2834 2870 2835 2871 <p class=MsoNormal>This curve shows a couple of peaks which are from some … … 2865 2901 <v:imagedata src="SimpleMagnetic_files/image111.png" o:title=""/> 2866 2902 </v:shape><![endif]--><![if !vml]><img border=0 width=615 height=129 2867 src="SimpleMagnetic_files/image1 25.png" v:shapes="Picture_x0020_42"><![endif]></span></p>2903 src="SimpleMagnetic_files/image132.png" v:shapes="Picture_x0020_42"><![endif]></span></p> 2868 2904 2869 2905 <p class=MsoNormal><o:p> </o:p></p> … … 2883 2919 <v:imagedata src="SimpleMagnetic_files/image119.png" o:title=""/> 2884 2920 </v:shape><![endif]--><![if !vml]><img border=0 width=616 height=247 2885 src="SimpleMagnetic_files/image13 1.png" v:shapes="Picture_x0020_44"><![endif]></span></p>2921 src="SimpleMagnetic_files/image133.png" v:shapes="Picture_x0020_44"><![endif]></span></p> 2886 2922 2887 2923 <p class=MsoNormal>The plot will show the unit cell contents of <span … … 2896 2932 <v:imagedata src="SimpleMagnetic_files/image126.png" o:title=""/> 2897 2933 </v:shape><![endif]--><![if !vml]><img border=0 width=610 height=513 2898 src="SimpleMagnetic_files/image13 2.png" v:shapes="Picture_x0020_45"><![endif]></span></p>2934 src="SimpleMagnetic_files/image135.png" v:shapes="Picture_x0020_45"><![endif]></span></p> 2899 2935 2900 2936 <p class=MsoNormal>This completes this tutorial; you can save the project if … … 3006 3042 <v:imagedata src="SimpleMagnetic_files/image067.png" o:title=""/> 3007 3043 </v:shape><![endif]--><![if !vml]><img border=0 width=261 height=276 3008 src="SimpleMagnetic_files/image13 3.png" v:shapes="Picture_x0020_27"><![endif]></span></p>3044 src="SimpleMagnetic_files/image137.png" v:shapes="Picture_x0020_27"><![endif]></span></p> 3009 3045 3010 3046 <p class=MsoNormal style='margin-left:.25in'><span class=GramE>and</span> the … … 3016 3052 <v:imagedata src="SimpleMagnetic_files/image069.png" o:title=""/> 3017 3053 </v:shape><![endif]--><![if !vml]><img border=0 width=596 height=543 3018 src="SimpleMagnetic_files/image13 5.png" v:shapes="Picture_x0020_28"><![endif]></span></p>3054 src="SimpleMagnetic_files/image139.png" v:shapes="Picture_x0020_28"><![endif]></span></p> 3019 3055 3020 3056 <h3>Step 2: Select Limits </h3> … … 3051 3087 <v:imagedata src="SimpleMagnetic_files/image071.png" o:title=""/> 3052 3088 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=568 3053 src="SimpleMagnetic_files/image1 37.png" v:shapes="Picture_x0020_29"><![endif]></span></p>3089 src="SimpleMagnetic_files/image161.png" v:shapes="Picture_x0020_29"><![endif]></span></p> 3054 3090 3055 3091 <h3><a name="sucrose_peak_fit"></a>Step 3: Read in the chemical structure for … … 3120 3156 <v:imagedata src="SimpleMagnetic_files/image134.png" o:title=""/> 3121 3157 </v:shape><![endif]--><![if !vml]><img border=0 width=280 height=224 3122 src="SimpleMagnetic_files/image1 39.png" v:shapes="Picture_x0020_46"><![endif]></span></p>3158 src="SimpleMagnetic_files/image162.png" v:shapes="Picture_x0020_46"><![endif]></span></p> 3123 3159 3124 3160 <p class=MsoNormal style='margin-left:.25in'>Select the histogram (or press <b … … 3134 3170 <v:imagedata src="SimpleMagnetic_files/image136.png" o:title=""/> 3135 3171 </v:shape><![endif]--><![if !vml]><img border=0 width=598 height=304 3136 src="SimpleMagnetic_files/image16 1.png" v:shapes="Picture_x0020_47"><![endif]></span></p>3172 src="SimpleMagnetic_files/image163.png" v:shapes="Picture_x0020_47"><![endif]></span></p> 3137 3173 3138 3174 <p class=MsoNormal style='margin-left:.25in'>Notice that the space group from … … 3158 3194 <v:imagedata src="SimpleMagnetic_files/image138.png" o:title=""/> 3159 3195 </v:shape><![endif]--><![if !vml]><img border=0 width=622 height=221 3160 src="SimpleMagnetic_files/image16 2.png" v:shapes="Picture_x0020_48"><![endif]></span></p>3196 src="SimpleMagnetic_files/image164.png" v:shapes="Picture_x0020_48"><![endif]></span></p> 3161 3197 3162 3198 <p class=MsoListParagraphCxSpFirst style='margin-left:0in;mso-add-space:auto'>This … … 3183 3219 <v:imagedata src="SimpleMagnetic_files/image143.png" o:title=""/> 3184 3220 </v:shape><![endif]--><![if !vml]><img border=0 width=622 height=221 3185 src="SimpleMagnetic_files/image16 3.png" v:shapes="Picture_x0020_49"><![endif]></span><br3221 src="SimpleMagnetic_files/image165.png" v:shapes="Picture_x0020_49"><![endif]></span><br 3186 3222 style='mso-special-character:line-break'> 3187 3223 <![if !supportLineBreakNewLine]><br style='mso-special-character:line-break'> … … 3205 3241 <v:imagedata src="SimpleMagnetic_files/image145.png" o:title=""/> 3206 3242 </v:shape><![endif]--><![if !vml]><img border=0 width=621 height=436 3207 src="SimpleMagnetic_files/image16 4.png" v:shapes="Picture_x0020_50"><![endif]></span></p>3243 src="SimpleMagnetic_files/image166.png" v:shapes="Picture_x0020_50"><![endif]></span></p> 3208 3244 3209 3245 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Note … … 3220 3256 <v:imagedata src="SimpleMagnetic_files/image147.png" o:title=""/> 3221 3257 </v:shape><![endif]--><![if !vml]><img border=0 width=625 height=439 3222 src="SimpleMagnetic_files/image16 5.png" v:shapes="Picture_x0020_51"><![endif]></span><br>3258 src="SimpleMagnetic_files/image167.png" v:shapes="Picture_x0020_51"><![endif]></span><br> 3223 3259 Then check the box <b style='mso-bidi-font-weight:normal'><span 3224 3260 style='font-family:"Calibri",sans-serif;mso-ascii-theme-font:minor-latin; … … 3233 3269 <v:imagedata src="SimpleMagnetic_files/image149.png" o:title=""/> 3234 3270 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=199 3235 src="SimpleMagnetic_files/image16 6.png" v:shapes="Picture_x0020_52"><![endif]></span></p>3271 src="SimpleMagnetic_files/image168.png" v:shapes="Picture_x0020_52"><![endif]></span></p> 3236 3272 3237 3273 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Because … … 3252 3288 3253 3289 <p class=MsoNormal>In the previous step we did not have to resort to any 3254 doubling of a cell axis to explain the suite of magnetic reflections, so the 3255 propagation vector is zero (in case anyone asks!). To make the magnetic cell 3256 from the chemical cell we will use the transform tool that is in GSAS-II in the 3257 Generaltab for the chemical structure. That tab is</p>3290 doubling of a cell axis to explain the suite of magnetic reflections, so the propagation 3291 vector is zero (in case anyone asks!). To make the magnetic cell from the 3292 chemical cell we will use the transform tool that is in GSAS-II in the General 3293 tab for the chemical structure. That tab is</p> 3258 3294 3259 3295 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span … … 3263 3299 <v:imagedata src="SimpleMagnetic_files/image151.png" o:title=""/> 3264 3300 </v:shape><![endif]--><![if !vml]><img border=0 width=623 height=275 3265 src="SimpleMagnetic_files/image16 7.png" v:shapes="Picture_x0020_53"><![endif]></span></p>3301 src="SimpleMagnetic_files/image169.png" v:shapes="Picture_x0020_53"><![endif]></span></p> 3266 3302 3267 3303 <p class=MsoNormal>Under the <b style='mso-bidi-font-weight:normal'><span … … 3274 3310 3275 3311 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3276 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 78"3277 o:spid="_x0000_i1044" type="#_x0000_t75" style='width:274.5pt;height:3 27pt;3312 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_81" 3313 o:spid="_x0000_i1044" type="#_x0000_t75" style='width:274.5pt;height:315pt; 3278 3314 visibility:visible;mso-wrap-style:square'> 3279 <v:imagedata src="SimpleMagnetic_files/image1 42.png" o:title=""/>3280 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=4 363281 src="SimpleMagnetic_files/image1 42.png" v:shapes="Picture_x0020_78"><![endif]></span></p>3315 <v:imagedata src="SimpleMagnetic_files/image171.png" o:title=""/> 3316 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=420 3317 src="SimpleMagnetic_files/image171.png" v:shapes="Picture_x0020_81"><![endif]></span></p> 3282 3318 3283 3319 <p class=MsoNormal>The order of operations for the transformation is given at … … 3290 3326 3291 3327 <p class=MsoListParagraph style='margin-left:0in;mso-add-space:auto'><span 3292 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_ 79"3293 o:spid="_x0000_i1043" type="#_x0000_t75" style='width:2 12.25pt;height:252.75pt;3328 style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape id="Picture_x0020_82" 3329 o:spid="_x0000_i1043" type="#_x0000_t75" style='width:274.5pt;height:336pt; 3294 3330 visibility:visible;mso-wrap-style:square'> 3295 <v:imagedata src="SimpleMagnetic_files/image1 44.png" o:title=""/>3296 </v:shape><![endif]--><![if !vml]><img border=0 width= 283 height=3373297 src="SimpleMagnetic_files/image1 44.png" v:shapes="Picture_x0020_79"><![endif]></span></p>3331 <v:imagedata src="SimpleMagnetic_files/image173.png" o:title=""/> 3332 </v:shape><![endif]--><![if !vml]><img border=0 width=366 height=448 3333 src="SimpleMagnetic_files/image173.png" v:shapes="Picture_x0020_82"><![endif]></span></p> 3298 3334 3299 3335 <p class=MsoNormal>This allows one to select possible magnetic lattice … … 3315 3351 <v:imagedata src="SimpleMagnetic_files/image157.png" o:title=""/> 3316 3352 </v:shape><![endif]--><![if !vml]><img border=0 width=196 height=87 3317 src="SimpleMagnetic_files/image1 68.png" v:shapes="Picture_x0020_56"><![endif]></span></p>3353 src="SimpleMagnetic_files/image177.png" v:shapes="Picture_x0020_56"><![endif]></span></p> 3318 3354 3319 3355 <p class=MsoNormal>This allows one to reject certain atoms that are known to … … 3330 3366 <v:imagedata src="SimpleMagnetic_files/image159.png" o:title=""/> 3331 3367 </v:shape><![endif]--><![if !vml]><img border=0 width=619 height=365 3332 src="SimpleMagnetic_files/image1 69.png" v:shapes="Picture_x0020_57"><![endif]></span></p>3368 src="SimpleMagnetic_files/image181.png" v:shapes="Picture_x0020_57"><![endif]></span></p> 3333 3369 3334 3370 <p class=MsoNormal>The phase is named with mag appended to the end, the phase … … 3354 3390 <v:imagedata src="SimpleMagnetic_files/image170.png" o:title=""/> 3355 3391 </v:shape><![endif]--><![if !vml]><img border=0 width=625 height=143 3356 src="SimpleMagnetic_files/image1 71.png" v:shapes="Picture_x0020_58"><![endif]></span></p>3392 src="SimpleMagnetic_files/image183.png" v:shapes="Picture_x0020_58"><![endif]></span></p> 3357 3393 3358 3394 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'>Notice … … 3381 3417 <v:imagedata src="SimpleMagnetic_files/image172.png" o:title=""/> 3382 3418 </v:shape><![endif]--><![if !vml]><img border=0 width=320 height=266 3383 src="SimpleMagnetic_files/image1 73.png" v:shapes="Picture_x0020_60"><![endif]></span></p>3419 src="SimpleMagnetic_files/image185.png" v:shapes="Picture_x0020_60"><![endif]></span></p> 3384 3420 3385 3421 <p class=MsoListParagraphCxSpMiddle style='margin-left:0in;mso-add-space:auto'>The … … 3396 3432 <v:imagedata src="SimpleMagnetic_files/image174.png" o:title=""/> 3397 3433 </v:shape><![endif]--><![if !vml]><img border=0 width=634 height=133 3398 src="SimpleMagnetic_files/image1 77.png" v:shapes="Picture_x0020_61"><![endif]></span></p>3434 src="SimpleMagnetic_files/image187.png" v:shapes="Picture_x0020_61"><![endif]></span></p> 3399 3435 3400 3436 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>If … … 3452 3488 <v:imagedata src="SimpleMagnetic_files/image176.png" o:title=""/> 3453 3489 </v:shape><![endif]--><![if !vml]><img border=0 width=692 height=486 3454 src="SimpleMagnetic_files/image18 1.png" v:shapes="Picture_x0020_64"><![endif]></span></p>3490 src="SimpleMagnetic_files/image189.png" v:shapes="Picture_x0020_64"><![endif]></span></p> 3455 3491 3456 3492 <p class=MsoListParagraphCxSpLast style='margin-left:0in;mso-add-space:auto'>Clearly … … 3523 3559 <v:imagedata src="SimpleMagnetic_files/image178.png" o:title=""/> 3524 3560 </v:shape><![endif]--><![if !vml]><img border=0 width=624 height=119 3525 src="SimpleMagnetic_files/image1 83.png" v:shapes="Picture_x0020_63"><![endif]></span></p>3561 src="SimpleMagnetic_files/image191.png" v:shapes="Picture_x0020_63"><![endif]></span></p> 3526 3562 3527 3563 <p class=MsoNormal>Then do <b style='mso-bidi-font-weight:normal'><span … … 3536 3572 <v:imagedata src="SimpleMagnetic_files/image180.png" o:title=""/> 3537 3573 </v:shape><![endif]--><![if !vml]><img border=0 width=625 height=439 3538 src="SimpleMagnetic_files/image1 85.png" v:shapes="Picture_x0020_65"><![endif]></span></p>3574 src="SimpleMagnetic_files/image193.png" v:shapes="Picture_x0020_65"><![endif]></span></p> 3539 3575 3540 3576 <p class=MsoNormal><span class=GramE>and</span> the magnetic moment components … … 3546 3582 <v:imagedata src="SimpleMagnetic_files/image182.png" o:title=""/> 3547 3583 </v:shape><![endif]--><![if !vml]><img border=0 width=628 height=123 3548 src="SimpleMagnetic_files/image 187.png" v:shapes="Picture_x0020_66"><![endif]></span></p>3584 src="SimpleMagnetic_files/image200.png" v:shapes="Picture_x0020_66"><![endif]></span></p> 3549 3585 3550 3586 <p class=MsoNormal>So we test the next possibility.</p> … … 3599 3635 <v:imagedata src="SimpleMagnetic_files/image184.png" o:title=""/> 3600 3636 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=442 3601 src="SimpleMagnetic_files/image 189.png" v:shapes="Picture_x0020_67"><![endif]></span></p>3637 src="SimpleMagnetic_files/image201.png" v:shapes="Picture_x0020_67"><![endif]></span></p> 3602 3638 3603 3639 <p class=MsoNormal>The <b style='mso-bidi-font-weight:normal'><span … … 3613 3649 <v:imagedata src="SimpleMagnetic_files/image186.png" o:title=""/> 3614 3650 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=118 3615 src="SimpleMagnetic_files/image 191.png" v:shapes="Picture_x0020_68"><![endif]></span></p>3651 src="SimpleMagnetic_files/image202.png" v:shapes="Picture_x0020_68"><![endif]></span></p> 3616 3652 3617 3653 <p class=MsoNormal>Lets test the next one.</p> … … 3664 3700 <v:imagedata src="SimpleMagnetic_files/image188.png" o:title=""/> 3665 3701 </v:shape><![endif]--><![if !vml]><img border=0 width=629 height=441 3666 src="SimpleMagnetic_files/image 193.png" v:shapes="Picture_x0020_69"><![endif]></span></p>3702 src="SimpleMagnetic_files/image203.png" v:shapes="Picture_x0020_69"><![endif]></span></p> 3667 3703 3668 3704 <p class=MsoNormal>The <b style='mso-bidi-font-weight:normal'><span … … 3677 3713 <v:imagedata src="SimpleMagnetic_files/image190.png" o:title=""/> 3678 3714 </v:shape><![endif]--><![if !vml]><img border=0 width=630 height=126 3679 src="SimpleMagnetic_files/image20 0.png" v:shapes="Picture_x0020_70"><![endif]></span></p>3715 src="SimpleMagnetic_files/image204.png" v:shapes="Picture_x0020_70"><![endif]></span></p> 3680 3716 3681 3717 <p class=MsoNormal>We should now check the last spin configuration.</p> … … 3726 3762 <v:imagedata src="SimpleMagnetic_files/image192.png" o:title=""/> 3727 3763 </v:shape><![endif]--><![if !vml]><img border=0 width=633 height=444 3728 src="SimpleMagnetic_files/image20 1.png" v:shapes="Picture_x0020_71"><![endif]></span></p>3764 src="SimpleMagnetic_files/image205.png" v:shapes="Picture_x0020_71"><![endif]></span></p> 3729 3765 3730 3766 <p class=MsoNormal><span class=GramE>and</span> with the strong <span … … 3737 3773 <v:imagedata src="SimpleMagnetic_files/image206.png" o:title=""/> 3738 3774 </v:shape><![endif]--><![if !vml]><img border=0 width=636 height=108 3739 src="SimpleMagnetic_files/image20 2.png" v:shapes="Picture_x0020_72"><![endif]></span></p>3775 src="SimpleMagnetic_files/image207.png" v:shapes="Picture_x0020_72"><![endif]></span></p> 3740 3776 3741 3777 <p class=MsoNormal><o:p> </o:p></p> … … 3768 3804 well. The do <b style='mso-bidi-font-weight:normal'><span style='font-family: 3769 3805 "Calibri",sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: 3770 minor-latin;mso-bidi-theme-font:minor-latin'>Calculate/Refine</span></b> for each3771 one. After several cycles of refinement I find the <span class=SpellE>rrb</span>3806 minor-latin;mso-bidi-theme-font:minor-latin'>Calculate/Refine</span></b> for 3807 each one. After several cycles of refinement I find the <span class=SpellE>rrb</span> 3772 3808 model <span class=SpellE>Rwp</span>=7.615%, the <span class=SpellE>rbr</span> 3773 3809 model <span class=SpellE>Rwp</span>=7.716% and the <span class=SpellE>brr</span> … … 3800 3836 <v:imagedata src="SimpleMagnetic_files/image209.png" o:title=""/> 3801 3837 </v:shape><![endif]--><![if !vml]><img border=0 width=317 height=681 3802 src="SimpleMagnetic_files/image20 3.png" v:shapes="Picture_x0020_73"><![endif]><!--[if gte vml 1]><v:shape3838 src="SimpleMagnetic_files/image208.png" v:shapes="Picture_x0020_73"><![endif]><!--[if gte vml 1]><v:shape 3803 3839 id="Picture_x0020_74" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:239.25pt; 3804 3840 height:510pt;visibility:visible;mso-wrap-style:square'> 3805 3841 <v:imagedata src="SimpleMagnetic_files/image211.png" o:title=""/> 3806 3842 </v:shape><![endif]--><![if !vml]><img border=0 width=319 height=680 3807 src="SimpleMagnetic_files/image2 04.png" v:shapes="Picture_x0020_74"><![endif]></span></p>3843 src="SimpleMagnetic_files/image210.png" v:shapes="Picture_x0020_74"><![endif]></span></p> 3808 3844 3809 3845 <p class=MsoNormal>The magnetic peaks contributing to this peak are the 200,221 … … 3821 3857 <v:imagedata src="SimpleMagnetic_files/image213.png" o:title=""/> 3822 3858 </v:shape><![endif]--><![if !vml]><img border=0 width=632 height=669 3823 src="SimpleMagnetic_files/image2 05.png" v:shapes="Picture_x0020_75"><![endif]></span></p>3859 src="SimpleMagnetic_files/image212.png" v:shapes="Picture_x0020_75"><![endif]></span></p> 3824 3860 3825 3861 <p class=MsoNormal><span class=GramE>which</span> shows that the ferromagnetic -
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