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- Apr 27, 2017 11:01:58 AM (7 years ago)
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- Tutorials/StackingFaults-II
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Tutorials/StackingFaults-II/Stacking Faults II.htm
r2390 r2812 25 25 <!--[if gte mso 9]><xml> 26 26 <w:WordDocument> 27 <w:View>Print</w:View> 27 28 <w:SpellingState>Clean</w:SpellingState> 28 29 <w:GrammarState>Clean</w:GrammarState> … … 637 638 mso-generic-font-family:swiss; 638 639 mso-font-pitch:variable; 639 mso-font-signature:-5368 70145 1073786111 1 0 4150;}640 mso-font-signature:-536859905 -1073732485 9 0 511 0;} 640 641 @font-face 641 642 {font-family:Tahoma; … … 729 730 mso-fareast-font-family:"Times New Roman"; 730 731 mso-fareast-theme-font:minor-fareast; 732 mso-bidi-font-family:"Times New Roman"; 731 733 color:#4F81BD; 732 734 font-weight:bold; … … 813 815 color:gray;} 814 816 p.MsoNoSpacing, li.MsoNoSpacing, div.MsoNoSpacing 815 {mso-style-priority:1; 817 {mso-style-noshow:yes; 818 mso-style-priority:1; 816 819 mso-style-unhide:no; 817 820 mso-style-qformat:yes; … … 824 827 mso-fareast-theme-font:minor-fareast;} 825 828 p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph 826 {mso-style-priority:34; 829 {mso-style-noshow:yes; 830 mso-style-priority:34; 827 831 mso-style-unhide:no; 828 832 mso-style-qformat:yes; … … 921 925 p.msonormal0, li.msonormal0, div.msonormal0 922 926 {mso-style-name:msonormal; 927 mso-style-noshow:yes; 928 mso-style-priority:99; 923 929 mso-style-unhide:no; 924 930 mso-margin-top-alt:auto; … … 955 961 p.msolistparagraphcxspfirst, li.msolistparagraphcxspfirst, div.msolistparagraphcxspfirst 956 962 {mso-style-name:msolistparagraphcxspfirst; 963 mso-style-noshow:yes; 964 mso-style-priority:99; 957 965 mso-style-unhide:no; 958 966 margin-top:0in; … … 968 976 p.msolistparagraphcxspmiddle, li.msolistparagraphcxspmiddle, div.msolistparagraphcxspmiddle 969 977 {mso-style-name:msolistparagraphcxspmiddle; 978 mso-style-noshow:yes; 979 mso-style-priority:99; 970 980 mso-style-unhide:no; 971 981 margin-top:0in; … … 981 991 p.msolistparagraphcxsplast, li.msolistparagraphcxsplast, div.msolistparagraphcxsplast 982 992 {mso-style-name:msolistparagraphcxsplast; 993 mso-style-noshow:yes; 994 mso-style-priority:99; 983 995 mso-style-unhide:no; 984 996 margin-top:0in; … … 1004 1016 p.GSAS-IItext, li.GSAS-IItext, div.GSAS-IItext 1005 1017 {mso-style-name:"GSAS-II text"; 1018 mso-style-noshow:yes; 1019 mso-style-priority:99; 1006 1020 mso-style-unhide:no; 1007 1021 mso-style-link:"GSAS-II text Char"; … … 1017 1031 p.msochpdefault, li.msochpdefault, div.msochpdefault 1018 1032 {mso-style-name:msochpdefault; 1033 mso-style-noshow:yes; 1034 mso-style-priority:99; 1019 1035 mso-style-unhide:no; 1020 1036 mso-margin-top-alt:auto; … … 1042 1058 font-family:"Calibri",sans-serif; 1043 1059 mso-ascii-font-family:Calibri; 1044 mso-hansi-font-family:Calibri;} 1060 mso-hansi-font-family:Calibri; 1061 mso-bidi-font-family:Calibri;} 1045 1062 @page WordSection1 1046 1063 {size:8.5in 11.0in; … … 1086 1103 1087 1104 <p class=MsoNormal>In this exercise and the next you will simulate some 1088 diffraction patterns from kaolinite clays. Kaolinite, Al<sub>2</sub>Si<sub>2</sub>O<sub>5</sub>(OH)<sub>4</sub>,1089 is a 1: <span class=GramE>1 layer</span> silicate with a single unique sheet1090 with AlO<sub>6</sub> <span class=SpellE>octahedra</span> on one side and SiO<sub>4</sub> 1091 <span class=SpellE>tetrahedra</span> on the other. The layers stack with an 1092 offset to ideally form a triclinic C1 lattice (<span class=SpellE>Bish</span> 1093 & Von Dreele, 1989, Clay & Clay Min. 37, 289-296) for a sample of the 1094 most ordered form of kaolinite from Keokuk, Iowa. Kaolinites from other 1095 locations evidently have stacking faults so that the peaks are displaced, have 1096 peculiar shapes and are above a varying background. For the exercise we provide1097 a laboratory Bragg-Brentano pattern of Keokuk kaolinite collected with <span1105 diffraction patterns from kaolinite clays. Kaolinite, <span class=GramE>Al<sub>2</sub>Si<sub>2</sub>O<sub>5</sub>(</span>OH)<sub>4</sub>, 1106 is a 1:1 layer silicate with a single unique sheet with AlO<sub>6</sub> <span 1107 class=SpellE>octahedra</span> on one side and SiO<sub>4</sub> <span 1108 class=SpellE>tetrahedra</span> on the other. The layers stack with an offset to 1109 ideally form a triclinic C1 lattice (<span class=SpellE>Bish</span> & Von <span 1110 class=SpellE>Dreele</span>, 1989, Clay & Clay Min. 37, 289-296) for a 1111 sample of the most ordered form of kaolinite from Keokuk, Iowa. Kaolinites from 1112 other locations evidently have stacking faults so that the peaks are displaced, 1113 have peculiar shapes and are above a varying background. For the exercise we 1114 provide a laboratory Bragg-Brentano pattern of Keokuk kaolinite collected with <span 1098 1115 class=SpellE>CuKa</span> radiation on a Bruker instrument and thus in the 1099 1116 Bruker RAW file format. The Keokuk kaolinite has some <span class=SpellE>dickite</span> … … 1135 1152 style='font-family:"Calibri",sans-serif'>Ok</span></b>; the <span class=SpellE>Xe</span> 1136 1153 atoms at the bottom of the atom table will be highlighted. Next select <b><span 1137 style='font-family:"Calibri",sans-serif'>Edit/Modify atom parameters</span></b> 1154 style='font-family:"Calibri",sans-serif'>Edit/On selected atoms 1155 /Modify parameters</span></b> 1138 1156 from the Phase Data menu; a new popup will appear. Select <b><span 1139 1157 style='font-family:"Calibri",sans-serif'>Type</span></b> & press <b><span … … 1149 1167 style='font-family:"Calibri",sans-serif'>Draw Atoms</span></b> tab and then 1150 1168 double click the empty upper left corner box of the table. All atoms will turn 1151 green. Then do <b><span style='font-family:"Calibri",sans-serif'>Edit/Fill unit 1152 cell</span></b>; the structure will be redrawn with all atoms that belong in 1153 the unit cell. Finally, double click on the <b><span style='font-family:"Calibri",sans-serif'>Type</span></b> 1154 column heading, select <b><span style='font-family:"Calibri",sans-serif'>Al</span></b> 1155 & <b><span style='font-family:"Calibri",sans-serif'>Si</span></b> (they 1156 will turn green) and then do <b><span style='font-family:"Calibri",sans-serif'>Edit/Fill 1169 green. Then do <b><span style='font-family:"Calibri",sans-serif'>Edit Figure/Fill 1170 unit cell</span></b>; the structure will be redrawn with all atoms that belong 1171 in the unit cell. Finally, double click on the <b><span style='font-family: 1172 "Calibri",sans-serif'>Type</span></b> column heading, select <b><span 1173 style='font-family:"Calibri",sans-serif'>Al</span></b> & <b><span 1174 style='font-family:"Calibri",sans-serif'>Si</span></b> (they will turn green) 1175 and then do <b><span style='font-family:"Calibri",sans-serif'>Edit Figure/Fill 1157 1176 CN sphere</span></b>. After a bit of rotating the structure around, the 1158 1177 layering along the c-axis (blue line) will be evident.</p> … … 1170 1189 defined in a coordinate system that has the stacking direction perpendicular to 1171 1190 the stacking plane defined as the c-axis. This requires transformation of the 1172 unit cell and atom coordinates; a suitable tool exists in GSAS-II to do this. 1173 Select the <b><span style='font-family:"Calibri",sans-serif'>General</span></b> 1174 taband do <b><span style='font-family:"Calibri",sans-serif'>Compute/Transform</span></b>;1191 unit cell and atom coordinates; a suitable tool exists in GSAS-II to do this. Select 1192 the <b><span style='font-family:"Calibri",sans-serif'>General</span></b> tab 1193 and do <b><span style='font-family:"Calibri",sans-serif'>Compute/Transform</span></b>; 1175 1194 a popup window will appear.</p> 1176 1195 1177 <p class=MsoNormal><span style='mso-no-proof:yes'><img width=350 height=339 1178 id="_x0000_i1040" src="Stacking%20Faults%20II_files/image005.gif"></span></p> 1196 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype 1197 id="_x0000_t75" coordsize="21600,21600" o:spt="75" o:preferrelative="t" 1198 path="m@4@5l@4@11@9@11@9@5xe" filled="f" stroked="f"> 1199 <v:stroke joinstyle="miter"/> 1200 <v:formulas> 1201 <v:f eqn="if lineDrawn pixelLineWidth 0"/> 1202 <v:f eqn="sum @0 1 0"/> 1203 <v:f eqn="sum 0 0 @1"/> 1204 <v:f eqn="prod @2 1 2"/> 1205 <v:f eqn="prod @3 21600 pixelWidth"/> 1206 <v:f eqn="prod @3 21600 pixelHeight"/> 1207 <v:f eqn="sum @0 0 1"/> 1208 <v:f eqn="prod @6 1 2"/> 1209 <v:f eqn="prod @7 21600 pixelWidth"/> 1210 <v:f eqn="sum @8 21600 0"/> 1211 <v:f eqn="prod @7 21600 pixelHeight"/> 1212 <v:f eqn="sum @10 21600 0"/> 1213 </v:formulas> 1214 <v:path o:extrusionok="f" gradientshapeok="t" o:connecttype="rect"/> 1215 <o:lock v:ext="edit" aspectratio="t"/> 1216 </v:shapetype><v:shape id="Picture_x0020_20" o:spid="_x0000_i1040" type="#_x0000_t75" 1217 style='width:262.5pt;height:301.5pt;visibility:visible;mso-wrap-style:square'> 1218 <v:imagedata src="Stacking%20Faults%20II_files/image001.png" o:title=""/> 1219 </v:shape><![endif]--><![if !vml]><img width=350 height=402 1220 src="Stacking%20Faults%20II_files/image002.gif" v:shapes="Picture_x0020_20"><![endif]></span></p> 1179 1221 1180 1222 <p class=MsoNormal>Note that this allows one to transform the structure … … 1190 1232 the new lattice parameters will be shown.</p> 1191 1233 1192 <p class=MsoNormal><span style='mso-no-proof:yes'><img width=350 height=339 1193 id="_x0000_i1039" src="Stacking%20Faults%20II_files/image006.gif"></span></p> 1194 1195 <p class=MsoNormal>The a & b axes stay the same, but c is now smaller (the 1196 interlayer distance in kaolinite) and <span style='font-family:Symbol'>a</span> 1197 & <span style='font-family:Symbol'>b</span> = 90 (<span style='font-family: 1198 Symbol'>g</span> is unchanged). Press <b><span style='font-family:"Calibri",sans-serif'>Ok</span></b>; 1199 a new phase (kaolinite <span class=SpellE>abc</span>*) will be made and its 1200 General tab will be shown immediately. Select the <b><span style='font-family: 1201 "Calibri",sans-serif'>Draw Atoms</span></b> tab to see the resulting structure.</p> 1234 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1235 id="Picture_x0020_21" o:spid="_x0000_i1039" type="#_x0000_t75" style='width:262.5pt; 1236 height:301.5pt;visibility:visible;mso-wrap-style:square'> 1237 <v:imagedata src="Stacking%20Faults%20II_files/image003.png" o:title=""/> 1238 </v:shape><![endif]--><![if !vml]><img width=350 height=402 1239 src="Stacking%20Faults%20II_files/image004.gif" v:shapes="Picture_x0020_21"><![endif]></span></p> 1240 1241 <p class=MsoNormal><span class=GramE>The a</span> & b axes stay the same, 1242 but c is now smaller (the interlayer distance in kaolinite) and <span 1243 style='font-family:Symbol'>a</span> & <span style='font-family:Symbol'>b</span> 1244 = 90 (<span style='font-family:Symbol'>g</span> is unchanged). Press <b><span 1245 style='font-family:"Calibri",sans-serif'>Ok</span></b>; a new phase (kaolinite <span 1246 class=SpellE>abc</span>*) will be made and its General tab will be shown 1247 immediately. Select the <b><span style='font-family:"Calibri",sans-serif'>Draw 1248 Atoms</span></b> tab to see the resulting structure.</p> 1202 1249 1203 1250 <p class=MsoNormal><span style='mso-no-proof:yes'><img width=471 height=352 … … 1207 1254 can add more unit cells to the drawing; select all the atoms by double clicking 1208 1255 the upper left empty box of the Draw atoms table. Do <b><span style='font-family: 1209 "Calibri",sans-serif'>Edit /Add atoms</span></b> and <b><span style='font-family:1210 "Calibri",sans-serif'>increment</span></b> the 1<sup>st</sup> <b><span 1211 style='font-family:"Calibri",sans-serif'>Choose unit cel</span></b>l and press <b><span 1212 style='font-family:"Calibri",sans-serif'>Ok</span></b>; this will add <span 1213 class=GramE>one unit</span>cell along x. Now select all the atoms again, do <b><span1214 style='font-family:"Calibri",sans-serif'>Edit /Add atoms</span></b> and now <b><span1215 style='font-family:"Calibri",sans-serif'>decrement</span></b> the 1<sup>st</sup> 1216 <b><span style='font-family:"Calibri",sans-serif'>Choose unit cell</span></b>. 1217 Press <b><span style='font-family:"Calibri",sans-serif'>Ok</span></b>; the 1218 drawing will now be 3 unit cells wide along x. Repeat this once more <b><span1256 "Calibri",sans-serif'>Edit Figure/Add atoms</span></b> and <b><span 1257 style='font-family:"Calibri",sans-serif'>increment</span></b> the 1<sup>st</sup> 1258 <b><span style='font-family:"Calibri",sans-serif'>Choose unit cel</span></b>l 1259 and press <b><span style='font-family:"Calibri",sans-serif'>Ok</span></b>; this 1260 will add one unit cell along x. Now select all the atoms again, do <b><span 1261 style='font-family:"Calibri",sans-serif'>Edit Figure/Add atoms</span></b> and 1262 now <b><span style='font-family:"Calibri",sans-serif'>decrement</span></b> the 1263 1<sup>st</sup> <b><span style='font-family:"Calibri",sans-serif'>Choose unit 1264 cell</span></b>. Press <b><span style='font-family:"Calibri",sans-serif'>Ok</span></b>; 1265 the drawing will now be 3 unit cells wide along x. Repeat this once more <b><span 1219 1266 style='font-family:"Calibri",sans-serif'>decrementing</span></b> the 2<sup>nd</sup> 1220 1267 <b><span style='font-family:"Calibri",sans-serif'>Choose unit cell</span></b> … … 1237 1284 1238 1285 <p class=MsoNormal>In this part of the tutorial well create a stacking model 1239 for Keokuk kaolinite and use <span class=SpellE>DIFFaX</span> to simulate the 1240 p owder pattern and compare it to some real data. To begin we need a new phase1241 that wecan declare as faulted. In the main GSAS-II data tree menu do <b><span1286 for Keokuk kaolinite and use <span class=SpellE>DIFFaX</span> to simulate the powder 1287 pattern and compare it to some real data. To begin we need a new phase that we 1288 can declare as faulted. In the main GSAS-II data tree menu do <b><span 1242 1289 style='font-family:"Calibri",sans-serif'>Data/Add new phase</span></b>; I named 1243 1290 it <b><span style='font-family:"Calibri",sans-serif'>Keokuk</span></b>. The … … 1272 1319 id="_x0000_i1034" src="Stacking%20Faults%20II_files/image012.gif"></span></p> 1273 1320 1274 <p class=MsoNormal>Next, you need to define the layer. As it would be very tedious1275 t o enter 24 atoms by hand, the alternative is to get them from the previously1276 created kaolinite <span class=SpellE>abc</span>* phase. Select the <b><span1321 <p class=MsoNormal>Next, you need to define the layer. As it would be very 1322 tedious to enter 24 atoms by hand, the alternative is to get them from the 1323 previously created kaolinite <span class=SpellE>abc</span>* phase. Select the <b><span 1277 1324 style='font-family:"Calibri",sans-serif'>Import new layer</span></b> box; the 1278 1325 file dialog with <span class=SpellE><b><span style='font-family:"Calibri",sans-serif'>kaolinite.gpx</span></b></span> … … 1283 1330 Layers page will be redrawn with a layer (named kaolinite) will be filled out.</p> 1284 1331 1285 <p class=MsoNormal><span style='mso-no-proof:yes'><img width=829 height=500 1286 id="_x0000_i1033" src="Stacking%20Faults%20II_files/image013.gif"></span></p> 1287 1288 <p class=MsoNormal>If you move down to the bottom of the page (if there isnt a 1289 scroll bar, just grab an edge of the window & shift it slightly) to find 1290 the <span class=GramE>one line</span> <b><span style='font-family:"Calibri",sans-serif'>Layer-Layer 1291 Transition probabilities</span></b>. Change <span class=SpellE><b><span 1292 style='font-family:"Calibri",sans-serif'>Dz</span></b></span><b><span 1293 style='font-family:"Calibri",sans-serif'>=1.0</span></b> and press the plot 1294 box; the drawing will show a layer of kaolinite stacked directly above another 1295 one.</p> 1332 <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape 1333 id="Picture_x0020_22" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:468pt; 1334 height:282.75pt;visibility:visible;mso-wrap-style:square'> 1335 <v:imagedata src="Stacking%20Faults%20II_files/image005.png" o:title=""/> 1336 </v:shape><![endif]--><![if !vml]><img width=624 height=377 1337 src="Stacking%20Faults%20II_files/image006.gif" v:shapes="Picture_x0020_22"><![endif]></span></p> 1338 1339 <p class=MsoNormal>If you move down to the bottom of the page to find the one 1340 line <b><span style='font-family:"Calibri",sans-serif'>Layer-Layer Transition 1341 probabilities</span></b>. Change <span class=SpellE><b><span style='font-family: 1342 "Calibri",sans-serif'>Dz</span></b></span><b><span style='font-family:"Calibri",sans-serif'>=1.0</span></b> 1343 and press the plot box; the drawing will show a layer of kaolinite stacked 1344 directly above another one.</p> 1296 1345 1297 1346 <p class=MsoNormal><span style='mso-no-proof:yes'><img width=480 height=359 … … 1342 1391 the upper limit in a relatively clear part of the pattern. Then go to 1343 1392 Background and set the 1<sup>st</sup> coefficient to 20 (approximately the 1344 background at 2Q=18). Next go to <b><span style='font-family:"Calibri",sans-serif'>Sample 1345 parameters</span></b> and set the <b><span style='font-family:"Calibri",sans-serif'>Histogram 1346 scale</span></b> to something reasonable (I chose <b><span style='font-family: 1347 "Calibri",sans-serif'>20.0</span></b>) and make sure the <b><span 1348 style='font-family:"Calibri",sans-serif'>Diffractometer type is Bragg-Brentano</span></b>.</p> 1393 background at 2<span style='font-family:Symbol;mso-ascii-font-family:"Times New Roman"; 1394 mso-hansi-font-family:"Times New Roman";mso-char-type:symbol;mso-symbol-font-family: 1395 Symbol'><span style='mso-char-type:symbol;mso-symbol-font-family:Symbol'>Q</span></span>=18). 1396 Next go to <b><span style='font-family:"Calibri",sans-serif'>Sample parameters</span></b> 1397 and set the <b><span style='font-family:"Calibri",sans-serif'>Histogram scale</span></b> 1398 to something reasonable (I chose <b><span style='font-family:"Calibri",sans-serif'>20.0</span></b>) 1399 and make sure the <b><span style='font-family:"Calibri",sans-serif'>Diffractometer 1400 type is Bragg-Brentano</span></b>.</p> 1349 1401 1350 1402 <p class=MsoNormal>Now we are ready for our 1<sup>st</sup> kaolinite … … 1391 1443 & repeat the simulation again. This gives a much better fit to the observed 1392 1444 pattern, but the simulated peaks are too sharp; this can be fixed by changing 1393 the <span class=GramE>U,V</span>,WInstrument parameters. Id just set <b><span1445 the U<span class=GramE>,V,W</span> Instrument parameters. Id just set <b><span 1394 1446 style='font-family:"Calibri",sans-serif'>W=40</span></b> and the <b><span 1395 1447 style='font-family:"Calibri",sans-serif'>Histogram scale</span></b> (in <b><span
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