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- May 14, 2016 9:42:20 AM (8 years ago)
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- Tutorials/StackingFaults-II
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Tutorials/StackingFaults-II/Stacking Faults II.htm
r2267 r2271 228 228 stack with an offset to ideally form a triclinic C1 lattice (Bish & Von 229 229 Dreele, 1989, Clay & Clay Min. 37, 289-296) for a sample of the most 230 ordered form of kaolinite from Keokuk, Iowa. Kaolinites from other locations 231 evidently have stacking faults so that the peaks are displaced, have peculiar 232 shapes and are above a varying background. For the exercise we provide a 233 laboratory Bragg-Brentano pattern of Keokuk kaolinite and a less ordered one 234 from Washington County, Georgia (Clay Minerals Society Standard KGa-1b) 235 collected with CuKa radiation on a Bruker instrument and thus in the Bruker RAW 236 f ile format. The KGa-1b sample contains a small amount of anatase (TiO<sub>2</sub>)230 ordered form of kaolinite from Keokuk, Iowa. Kaolinites from other locations evidently 231 have stacking faults so that the peaks are displaced, have peculiar shapes and 232 are above a varying background. For the exercise we provide a laboratory 233 Bragg-Brentano pattern of Keokuk kaolinite and a less ordered one from 234 Washington County, Georgia (Clay Minerals Society Standard KGa-1b) collected 235 with CuKa radiation on a Bruker instrument and thus in the Bruker RAW file 236 format. The KGa-1b sample contains a small amount of anatase (TiO<sub>2</sub>) 237 237 and the Keokuk kaolinite has some dickite (different ordered stacking of 238 238 kaolinite layers).</p> … … 254 254 The General tab is displayed (notice the presence of Xe in the element table).</p> 255 255 256 <p class=MsoNormal><img width=930 height=500 id="Picture 8"256 <p class=MsoNormal><img width=930 height=500 257 257 src="Stacking%20Faults%20II_files/image001.gif"></p> 258 258 … … 266 266 from the Phase Data menu; a new popup will appear.</p> 267 267 268 <p class=MsoNormal><img width=228 height=268 id="Picture 9"268 <p class=MsoNormal><img width=228 height=268 269 269 src="Stacking%20Faults%20II_files/image002.gif"></p> 270 270 … … 275 275 be drawn with Al, Si & O atoms only.</p> 276 276 277 <p class=MsoNormal><img width=479 height=358 id="Picture 10"277 <p class=MsoNormal><img width=479 height=358 278 278 src="Stacking%20Faults%20II_files/image003.jpg"></p> 279 279 280 280 <p class=MsoNormal>To better visualize the stacking layer, select the <b><span 281 style='font-family:"Calibri",sans-serif'>Draw Atoms</span></b> tab and then double282 click the empty upper left corner box of the table. All atoms will turn green. 283 Then do <b><span style='font-family:"Calibri",sans-serif'>Edit/Fill unit cell</span></b>; 284 the structure will be redrawn with all atoms that belong in the unit cell. 285 Finally, double click on the <b><span style='font-family:"Calibri",sans-serif'>Type</span></b>281 style='font-family:"Calibri",sans-serif'>Draw Atoms</span></b> tab and then 282 double click the empty upper left corner box of the table. All atoms will turn 283 green. Then do <b><span style='font-family:"Calibri",sans-serif'>Edit/Fill unit 284 cell</span></b>; the structure will be redrawn with all atoms that belong in 285 the unit cell. Finally, double click on the <b><span style='font-family:"Calibri",sans-serif'>Type</span></b> 286 286 column heading, select <b><span style='font-family:"Calibri",sans-serif'>Al</span></b> 287 287 & <b><span style='font-family:"Calibri",sans-serif'>Si</span></b> (they … … 290 290 layering along the c-axis (blue line) will be evident.</p> 291 291 292 <p class=MsoNormal><img width=480 height=359 id="Picture 11"292 <p class=MsoNormal><img width=480 height=359 293 293 src="Stacking%20Faults%20II_files/image004.jpg"></p> 294 294 … … 307 307 window will appear.</p> 308 308 309 <p class=MsoNormal><img width=350 height=339 id="Picture 12"309 <p class=MsoNormal><img width=350 height=339 310 310 src="Stacking%20Faults%20II_files/image005.gif"></p> 311 311 … … 317 317 satisfies the stacking fault requirement. Select it; notice that the space 318 318 group is changed to P1. Leave this as the kaolinite layer has no symmetry; in 319 other circumstances the layer may have an inversion center in which P-1 should320 be used. If you press <b><span style='font-family:"Calibri",sans-serif'>Test</span></b>,319 other circumstances the layer may have an inversion center in which case P-1 320 should be used. If you press <b><span style='font-family:"Calibri",sans-serif'>Test</span></b>, 321 321 the new lattice parameters will be shown.</p> 322 322 323 <p class=MsoNormal><img width=350 height=339 id="Picture 13"323 <p class=MsoNormal><img width=350 height=339 324 324 src="Stacking%20Faults%20II_files/image006.gif"></p> 325 325 … … 332 332 Atoms</span></b> tab to see the resulting structure.</p> 333 333 334 <p class=MsoNormal><img width=471 height=352 id="Picture 14"334 <p class=MsoNormal><img width=471 height=352 335 335 src="Stacking%20Faults%20II_files/image007.jpg"></p> 336 336 … … 355 355 the drawing should look like (after some zooming/shifting/rotation).</p> 356 356 357 <p class=MsoNormal><span style='position:absolute;z-index:251659264;margin-left: 358 12px;margin-top:104px;width:356px;height:201px'><img width=356 height=201 359 src="Stacking%20Faults%20II_files/image008.gif"></span><img width=477 360 height=357 id="Picture 15" src="Stacking%20Faults%20II_files/image009.jpg"></p> 361 362 <p class=MsoNormal>Ill say more about that diagonal line later. This structure 363 is now suitable for use in DIFFaX calculations; the cell has a c-axis that is 364 perpendicular to the ab plane with a length that is the stacking repeat 365 distance. This is a good place to save your project (I called it <b><span 366 style='font-family:"Calibri",sans-serif'>kaolinite</span></b>).</p> 357 <p class=MsoNormal><span style='position:absolute;z-index:251659264'><img 358 width=477 height=357 src="Stacking%20Faults%20II_files/image009.jpg"></p> 359 360 <p class=MsoNormal>This structure is now suitable for use in DIFFaX 361 calculations; the cell has a c-axis that is perpendicular to the ab plane with 362 a length that is the stacking repeat distance. This is a good place to save 363 your project (I called it <b><span style='font-family:"Calibri",sans-serif'>kaolinite</span></b>).</p> 367 364 368 365 <h2>Part 2. Set up simulation of ideal kaolinite stacking</h2> … … 376 373 for it will immediately appear.</p> 377 374 378 <p class=MsoNormal><img width=930 height=500 id="Picture 17"375 <p class=MsoNormal><img width=930 height=500 379 376 src="Stacking%20Faults%20II_files/image010.gif"></p> 380 377 … … 384 381 will appear. Select it.</p> 385 382 386 <p class=MsoNormal><img width=817 height=484 id="Picture 18"383 <p class=MsoNormal><img width=817 height=484 387 384 src="Stacking%20Faults%20II_files/image011.gif"></p> 388 385 … … 399 396 the Layers window will be redrawn with the new lattice parameters.</p> 400 397 401 <p class=MsoNormal><img width=829 height=484 id="Picture 19"398 <p class=MsoNormal><img width=829 height=484 402 399 src="Stacking%20Faults%20II_files/image012.gif"></p> 403 400 404 <p class=MsoNormal>Next, you need to define the layer. As it would be very 405 t edious to enter 24 atoms by hand, the alternative is to get them from the406 previously created kaolinite abc* phase. Select the <b><span style='font-family: 407 "Calibri",sans-serif'>Import new layer</span></b> box; the file dialog with <b><span 408 style='font-family:"Calibri",sans-serif'>kaolinite.gpx</span></b> will appear. 409 Select the file and press <b><span style='font-family:"Calibri",sans-serif'>Open</span></b>; 410 a gain asmall popup with two phases listed will appear. Again select <b><span401 <p class=MsoNormal>Next, you need to define the layer. As it would be very tedious 402 to enter 24 atoms by hand, the alternative is to get them from the previously 403 created kaolinite abc* phase. Select the <b><span style='font-family:"Calibri",sans-serif'>Import 404 new layer</span></b> box; the file dialog with <b><span style='font-family: 405 "Calibri",sans-serif'>kaolinite.gpx</span></b> will appear. Select the file and 406 press <b><span style='font-family:"Calibri",sans-serif'>Open</span></b>; again 407 a small popup with two phases listed will appear. Again select <b><span 411 408 style='font-family:"Calibri",sans-serif'>kaolinite abc*</span></b> and press <b><span 412 409 style='font-family:"Calibri",sans-serif'>Ok</span></b>; the Layers page will be 413 410 redrawn with a layer (named kaolinite) will be filled out.</p> 414 411 415 <p class=MsoNormal><img width=829 height=500 id="Picture 20"412 <p class=MsoNormal><img width=829 height=500 416 413 src="Stacking%20Faults%20II_files/image013.gif"></p> 417 414 … … 423 420 directly above another one.</p> 424 421 425 <p class=MsoNormal><img width=480 height=359 id="Picture 24"422 <p class=MsoNormal><img width=480 height=359 426 423 src="Stacking%20Faults%20II_files/image014.jpg"></p> 427 424 428 425 <p class=MsoNormal>Compare that to the stacking in kaolinite.</p> 429 426 430 <p class=MsoNormal><img width=480 height=359 id="Picture 26"427 <p class=MsoNormal><img width=480 height=359 431 428 src="Stacking%20Faults%20II_files/image015.jpg"></p> 432 429 … … 459 456 expands; its plot will also show.</p> 460 457 461 <p class=MsoNormal><img width=700 height=600 id="Picture 27"458 <p class=MsoNormal><img width=700 height=600 462 459 src="Stacking%20Faults%20II_files/image016.gif"></p> 463 460 … … 483 480 and the new plot will be displayed (Ive zoomed in a bit).</p> 484 481 485 <p class=MsoNormal><img width=700 height=600 id="Picture 29"482 <p class=MsoNormal><img width=700 height=600 486 483 src="Stacking%20Faults%20II_files/image017.gif">.</p> 487 484 … … 491 488 offset consider the drawing of kaolinite.</p> 492 489 493 <p class=MsoNormal><span style='position:absolute;z-index:251661312;margin-left: 494 104px;margin-top:123px;width:46px;height:22px'><img width=46 height=22 495 src="Stacking%20Faults%20II_files/image018.gif"></span><span style='position: 496 absolute;z-index:251660288;margin-left:153px;margin-top:135px;width:3px; 497 height:199px'><img width=3 height=199 498 src="Stacking%20Faults%20II_files/image019.gif"></span><img width=481 499 height=360 id="Picture 30" src="Stacking%20Faults%20II_files/image020.jpg"></p> 490 <p class=MsoNormal><span style='position:absolute;z-index:251661312'><span 491 style='position:absolute;z-index:251660288;margin-left:105px;margin-top:127px; 492 width:53px;height:207px'><img width=53 height=207 493 src="Stacking%20Faults%20II_files/image001.gif"></span><img width=481 494 height=360 src="Stacking%20Faults%20II_files/image020.jpg"></p> 500 495 501 496 <p class=MsoNormal>The offset Dx is given by the blue arrow in the above 502 497 drawing of kaolinite and is in fractional coordinates. Geometry gives</p> 503 498 504 <p class=MsoNormal><span 505 style='font-size:12.0pt;font-family:"Times New Roman",serif;position:relative; 506 top:3.0pt'><img width=106 height=26 507 src="Stacking%20Faults%20II_files/image021.gif"></span> Or in this case <b><span 508 style='font-family:"Calibri",sans-serif'>-0.368</span></b>. Set <b><span 499 <p class=MsoNormal><span style='position:relative;top:3pt'><img width=106 500 height=26 src="Stacking%20Faults%20II_files/image021.gif"> Or in this case 501 <b><span style='font-family:"Calibri",sans-serif'>-0.368</span></b>. Set <b><span 509 502 style='font-family:"Calibri",sans-serif'>Dx</span></b> to this value & 510 503 repeat simulation.</p> 511 504 512 <p class=MsoNormal><img width=700 height=600 id="Picture 33"505 <p class=MsoNormal><img width=700 height=600 513 506 src="Stacking%20Faults%20II_files/image022.gif"></p> 514 507 … … 526 519 again.</p> 527 520 528 <p class=MsoNormal><img width=700 height=600 id="Picture 34"521 <p class=MsoNormal><img width=700 height=600 529 522 src="Stacking%20Faults%20II_files/image023.gif"></p> 530 523 … … 532 525 further hand tweaking of the parameters one can further improve the simulation 533 526 but based on what we see here we do have the right description of stacking in 534 Keokuk kaolinite. Save your project as you will need it for the next part of 535 the exercise.</p> 527 Keokuk kaolinite. Doing sequence simulations varying each parameter over a 528 small range can be used to help with optimization, but in this case it would be 529 far easier to do a Rietveld refinement for this well ordered kaolinite. Save 530 your project as you will need it for the next part of the exercise.</p> 536 531 537 532 </div>
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