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| 307 | UnhideWhenUsed="false" Name="Light List Accent 6"/> |
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| 308 | <w:LsdException Locked="false" Priority="62" SemiHidden="false" |
|---|
| 309 | UnhideWhenUsed="false" Name="Light Grid Accent 6"/> |
|---|
| 310 | <w:LsdException Locked="false" Priority="63" SemiHidden="false" |
|---|
| 311 | UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/> |
|---|
| 312 | <w:LsdException Locked="false" Priority="64" SemiHidden="false" |
|---|
| 313 | UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/> |
|---|
| 314 | <w:LsdException Locked="false" Priority="65" SemiHidden="false" |
|---|
| 315 | UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/> |
|---|
| 316 | <w:LsdException Locked="false" Priority="66" SemiHidden="false" |
|---|
| 317 | UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/> |
|---|
| 318 | <w:LsdException Locked="false" Priority="67" SemiHidden="false" |
|---|
| 319 | UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/> |
|---|
| 320 | <w:LsdException Locked="false" Priority="68" SemiHidden="false" |
|---|
| 321 | UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/> |
|---|
| 322 | <w:LsdException Locked="false" Priority="69" SemiHidden="false" |
|---|
| 323 | UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/> |
|---|
| 324 | <w:LsdException Locked="false" Priority="70" SemiHidden="false" |
|---|
| 325 | UnhideWhenUsed="false" Name="Dark List Accent 6"/> |
|---|
| 326 | <w:LsdException Locked="false" Priority="71" SemiHidden="false" |
|---|
| 327 | UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/> |
|---|
| 328 | <w:LsdException Locked="false" Priority="72" SemiHidden="false" |
|---|
| 329 | UnhideWhenUsed="false" Name="Colorful List Accent 6"/> |
|---|
| 330 | <w:LsdException Locked="false" Priority="73" SemiHidden="false" |
|---|
| 331 | UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/> |
|---|
| 332 | <w:LsdException Locked="false" Priority="19" SemiHidden="false" |
|---|
| 333 | UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/> |
|---|
| 334 | <w:LsdException Locked="false" Priority="21" SemiHidden="false" |
|---|
| 335 | UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/> |
|---|
| 336 | <w:LsdException Locked="false" Priority="31" SemiHidden="false" |
|---|
| 337 | UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/> |
|---|
| 338 | <w:LsdException Locked="false" Priority="32" SemiHidden="false" |
|---|
| 339 | UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/> |
|---|
| 340 | <w:LsdException Locked="false" Priority="33" SemiHidden="false" |
|---|
| 341 | UnhideWhenUsed="false" QFormat="true" Name="Book Title"/> |
|---|
| 342 | <w:LsdException Locked="false" Priority="37" Name="Bibliography"/> |
|---|
| 343 | <w:LsdException Locked="false" Priority="39" QFormat="true" Name="TOC Heading"/> |
|---|
| 344 | </w:LatentStyles> |
|---|
| 345 | </xml><![endif]--> |
|---|
| 346 | <style> |
|---|
| 347 | <!-- |
|---|
| 348 | /* Font Definitions */ |
|---|
| 349 | @font-face |
|---|
| 350 | {font-family:Calibri; |
|---|
| 351 | panose-1:2 15 5 2 2 2 4 3 2 4; |
|---|
| 352 | mso-font-charset:0; |
|---|
| 353 | mso-generic-font-family:swiss; |
|---|
| 354 | mso-font-pitch:variable; |
|---|
| 355 | mso-font-signature:-536870145 1073786111 1 0 415 0;} |
|---|
| 356 | @font-face |
|---|
| 357 | {font-family:Tahoma; |
|---|
| 358 | panose-1:2 11 6 4 3 5 4 4 2 4; |
|---|
| 359 | mso-font-charset:0; |
|---|
| 360 | mso-generic-font-family:swiss; |
|---|
| 361 | mso-font-pitch:variable; |
|---|
| 362 | mso-font-signature:-520081665 -1073717157 41 0 66047 0;} |
|---|
| 363 | /* Style Definitions */ |
|---|
| 364 | p.MsoNormal, li.MsoNormal, div.MsoNormal |
|---|
| 365 | {mso-style-unhide:no; |
|---|
| 366 | mso-style-qformat:yes; |
|---|
| 367 | mso-style-parent:""; |
|---|
| 368 | margin:0in; |
|---|
| 369 | margin-bottom:.0001pt; |
|---|
| 370 | mso-pagination:widow-orphan; |
|---|
| 371 | font-size:12.0pt; |
|---|
| 372 | font-family:"Times New Roman","serif"; |
|---|
| 373 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 374 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 375 | h1 |
|---|
| 376 | {mso-style-priority:9; |
|---|
| 377 | mso-style-unhide:no; |
|---|
| 378 | mso-style-qformat:yes; |
|---|
| 379 | mso-style-link:"Heading 1 Char"; |
|---|
| 380 | mso-margin-top-alt:auto; |
|---|
| 381 | margin-right:0in; |
|---|
| 382 | mso-margin-bottom-alt:auto; |
|---|
| 383 | margin-left:0in; |
|---|
| 384 | mso-pagination:widow-orphan; |
|---|
| 385 | mso-outline-level:1; |
|---|
| 386 | font-size:24.0pt; |
|---|
| 387 | font-family:"Times New Roman","serif"; |
|---|
| 388 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 389 | mso-fareast-theme-font:minor-fareast; |
|---|
| 390 | font-weight:bold;} |
|---|
| 391 | h2 |
|---|
| 392 | {mso-style-noshow:yes; |
|---|
| 393 | mso-style-priority:9; |
|---|
| 394 | mso-style-qformat:yes; |
|---|
| 395 | mso-style-link:"Heading 2 Char"; |
|---|
| 396 | mso-margin-top-alt:auto; |
|---|
| 397 | margin-right:0in; |
|---|
| 398 | mso-margin-bottom-alt:auto; |
|---|
| 399 | margin-left:0in; |
|---|
| 400 | mso-pagination:widow-orphan; |
|---|
| 401 | mso-outline-level:2; |
|---|
| 402 | font-size:18.0pt; |
|---|
| 403 | font-family:"Times New Roman","serif"; |
|---|
| 404 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 405 | mso-fareast-theme-font:minor-fareast; |
|---|
| 406 | font-weight:bold;} |
|---|
| 407 | h3 |
|---|
| 408 | {mso-style-noshow:yes; |
|---|
| 409 | mso-style-priority:9; |
|---|
| 410 | mso-style-qformat:yes; |
|---|
| 411 | mso-style-link:"Heading 3 Char"; |
|---|
| 412 | mso-margin-top-alt:auto; |
|---|
| 413 | margin-right:0in; |
|---|
| 414 | mso-margin-bottom-alt:auto; |
|---|
| 415 | margin-left:0in; |
|---|
| 416 | mso-pagination:widow-orphan; |
|---|
| 417 | mso-outline-level:3; |
|---|
| 418 | font-size:13.5pt; |
|---|
| 419 | font-family:"Times New Roman","serif"; |
|---|
| 420 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 421 | mso-fareast-theme-font:minor-fareast; |
|---|
| 422 | font-weight:bold;} |
|---|
| 423 | h4 |
|---|
| 424 | {mso-style-noshow:yes; |
|---|
| 425 | mso-style-priority:9; |
|---|
| 426 | mso-style-qformat:yes; |
|---|
| 427 | mso-style-link:"Heading 4 Char"; |
|---|
| 428 | mso-style-next:Normal; |
|---|
| 429 | margin-top:10.0pt; |
|---|
| 430 | margin-right:0in; |
|---|
| 431 | margin-bottom:0in; |
|---|
| 432 | margin-left:0in; |
|---|
| 433 | margin-bottom:.0001pt; |
|---|
| 434 | mso-pagination:widow-orphan lines-together; |
|---|
| 435 | page-break-after:avoid; |
|---|
| 436 | mso-outline-level:4; |
|---|
| 437 | font-size:13.0pt; |
|---|
| 438 | font-family:"Cambria","serif"; |
|---|
| 439 | mso-ascii-font-family:Cambria; |
|---|
| 440 | mso-ascii-theme-font:major-latin; |
|---|
| 441 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 442 | mso-fareast-theme-font:major-fareast; |
|---|
| 443 | mso-hansi-font-family:Cambria; |
|---|
| 444 | mso-hansi-theme-font:major-latin; |
|---|
| 445 | mso-bidi-font-family:"Times New Roman"; |
|---|
| 446 | mso-bidi-theme-font:major-bidi; |
|---|
| 447 | color:#4F81BD; |
|---|
| 448 | mso-themecolor:accent1; |
|---|
| 449 | font-weight:bold; |
|---|
| 450 | font-style:italic;} |
|---|
| 451 | h5 |
|---|
| 452 | {mso-style-noshow:yes; |
|---|
| 453 | mso-style-priority:9; |
|---|
| 454 | mso-style-qformat:yes; |
|---|
| 455 | mso-style-link:"Heading 5 Char"; |
|---|
| 456 | mso-margin-top-alt:auto; |
|---|
| 457 | margin-right:0in; |
|---|
| 458 | mso-margin-bottom-alt:auto; |
|---|
| 459 | margin-left:0in; |
|---|
| 460 | mso-pagination:widow-orphan; |
|---|
| 461 | mso-outline-level:5; |
|---|
| 462 | font-size:12.0pt; |
|---|
| 463 | font-family:"Times New Roman","serif"; |
|---|
| 464 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 465 | mso-fareast-theme-font:minor-fareast; |
|---|
| 466 | color:#4F4FFF; |
|---|
| 467 | font-weight:bold;} |
|---|
| 468 | a:link, span.MsoHyperlink |
|---|
| 469 | {mso-style-noshow:yes; |
|---|
| 470 | mso-style-priority:99; |
|---|
| 471 | color:blue; |
|---|
| 472 | text-decoration:underline; |
|---|
| 473 | text-underline:single;} |
|---|
| 474 | a:visited, span.MsoHyperlinkFollowed |
|---|
| 475 | {mso-style-noshow:yes; |
|---|
| 476 | mso-style-priority:99; |
|---|
| 477 | color:purple; |
|---|
| 478 | text-decoration:underline; |
|---|
| 479 | text-underline:single;} |
|---|
| 480 | p.MsoDocumentMap, li.MsoDocumentMap, div.MsoDocumentMap |
|---|
| 481 | {mso-style-noshow:yes; |
|---|
| 482 | mso-style-priority:99; |
|---|
| 483 | mso-style-link:"Document Map Char"; |
|---|
| 484 | margin:0in; |
|---|
| 485 | margin-bottom:.0001pt; |
|---|
| 486 | mso-pagination:widow-orphan; |
|---|
| 487 | font-size:8.0pt; |
|---|
| 488 | font-family:"Tahoma","sans-serif"; |
|---|
| 489 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 490 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 491 | p |
|---|
| 492 | {mso-style-noshow:yes; |
|---|
| 493 | mso-style-priority:99; |
|---|
| 494 | mso-margin-top-alt:auto; |
|---|
| 495 | margin-right:0in; |
|---|
| 496 | mso-margin-bottom-alt:auto; |
|---|
| 497 | margin-left:0in; |
|---|
| 498 | mso-pagination:widow-orphan; |
|---|
| 499 | font-size:12.0pt; |
|---|
| 500 | font-family:"Times New Roman","serif"; |
|---|
| 501 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 502 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 503 | pre |
|---|
| 504 | {mso-style-noshow:yes; |
|---|
| 505 | mso-style-priority:99; |
|---|
| 506 | mso-style-link:"HTML Preformatted Char"; |
|---|
| 507 | margin:0in; |
|---|
| 508 | margin-bottom:.0001pt; |
|---|
| 509 | mso-pagination:widow-orphan; |
|---|
| 510 | tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt; |
|---|
| 511 | font-size:10.0pt; |
|---|
| 512 | font-family:"Courier New"; |
|---|
| 513 | mso-fareast-font-family:"Times New Roman";} |
|---|
| 514 | p.MsoAcetate, li.MsoAcetate, div.MsoAcetate |
|---|
| 515 | {mso-style-noshow:yes; |
|---|
| 516 | mso-style-priority:99; |
|---|
| 517 | mso-style-link:"Balloon Text Char"; |
|---|
| 518 | margin:0in; |
|---|
| 519 | margin-bottom:.0001pt; |
|---|
| 520 | mso-pagination:widow-orphan; |
|---|
| 521 | font-size:8.0pt; |
|---|
| 522 | font-family:"Tahoma","sans-serif"; |
|---|
| 523 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 524 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 525 | span.MsoPlaceholderText |
|---|
| 526 | {mso-style-noshow:yes; |
|---|
| 527 | mso-style-priority:99; |
|---|
| 528 | mso-style-unhide:no; |
|---|
| 529 | color:gray;} |
|---|
| 530 | p.MsoNoSpacing, li.MsoNoSpacing, div.MsoNoSpacing |
|---|
| 531 | {mso-style-noshow:yes; |
|---|
| 532 | mso-style-priority:1; |
|---|
| 533 | mso-style-unhide:no; |
|---|
| 534 | mso-style-qformat:yes; |
|---|
| 535 | mso-style-parent:""; |
|---|
| 536 | margin:0in; |
|---|
| 537 | margin-bottom:.0001pt; |
|---|
| 538 | mso-pagination:widow-orphan; |
|---|
| 539 | font-size:12.0pt; |
|---|
| 540 | font-family:"Times New Roman","serif"; |
|---|
| 541 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 542 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 543 | p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph |
|---|
| 544 | {mso-style-noshow:yes; |
|---|
| 545 | mso-style-priority:34; |
|---|
| 546 | mso-style-unhide:no; |
|---|
| 547 | mso-style-qformat:yes; |
|---|
| 548 | margin-top:0in; |
|---|
| 549 | margin-right:0in; |
|---|
| 550 | margin-bottom:0in; |
|---|
| 551 | margin-left:.5in; |
|---|
| 552 | margin-bottom:.0001pt; |
|---|
| 553 | mso-add-space:auto; |
|---|
| 554 | mso-pagination:widow-orphan; |
|---|
| 555 | font-size:12.0pt; |
|---|
| 556 | font-family:"Times New Roman","serif"; |
|---|
| 557 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 558 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 559 | p.MsoListParagraphCxSpFirst, li.MsoListParagraphCxSpFirst, div.MsoListParagraphCxSpFirst |
|---|
| 560 | {mso-style-noshow:yes; |
|---|
| 561 | mso-style-priority:34; |
|---|
| 562 | mso-style-unhide:no; |
|---|
| 563 | mso-style-qformat:yes; |
|---|
| 564 | mso-style-type:export-only; |
|---|
| 565 | margin-top:0in; |
|---|
| 566 | margin-right:0in; |
|---|
| 567 | margin-bottom:0in; |
|---|
| 568 | margin-left:.5in; |
|---|
| 569 | margin-bottom:.0001pt; |
|---|
| 570 | mso-add-space:auto; |
|---|
| 571 | mso-pagination:widow-orphan; |
|---|
| 572 | font-size:12.0pt; |
|---|
| 573 | font-family:"Times New Roman","serif"; |
|---|
| 574 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 575 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 576 | p.MsoListParagraphCxSpMiddle, li.MsoListParagraphCxSpMiddle, div.MsoListParagraphCxSpMiddle |
|---|
| 577 | {mso-style-noshow:yes; |
|---|
| 578 | mso-style-priority:34; |
|---|
| 579 | mso-style-unhide:no; |
|---|
| 580 | mso-style-qformat:yes; |
|---|
| 581 | mso-style-type:export-only; |
|---|
| 582 | margin-top:0in; |
|---|
| 583 | margin-right:0in; |
|---|
| 584 | margin-bottom:0in; |
|---|
| 585 | margin-left:.5in; |
|---|
| 586 | margin-bottom:.0001pt; |
|---|
| 587 | mso-add-space:auto; |
|---|
| 588 | mso-pagination:widow-orphan; |
|---|
| 589 | font-size:12.0pt; |
|---|
| 590 | font-family:"Times New Roman","serif"; |
|---|
| 591 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 592 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 593 | p.MsoListParagraphCxSpLast, li.MsoListParagraphCxSpLast, div.MsoListParagraphCxSpLast |
|---|
| 594 | {mso-style-noshow:yes; |
|---|
| 595 | mso-style-priority:34; |
|---|
| 596 | mso-style-unhide:no; |
|---|
| 597 | mso-style-qformat:yes; |
|---|
| 598 | mso-style-type:export-only; |
|---|
| 599 | margin-top:0in; |
|---|
| 600 | margin-right:0in; |
|---|
| 601 | margin-bottom:0in; |
|---|
| 602 | margin-left:.5in; |
|---|
| 603 | margin-bottom:.0001pt; |
|---|
| 604 | mso-add-space:auto; |
|---|
| 605 | mso-pagination:widow-orphan; |
|---|
| 606 | font-size:12.0pt; |
|---|
| 607 | font-family:"Times New Roman","serif"; |
|---|
| 608 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 609 | mso-fareast-theme-font:minor-fareast;} |
|---|
| 610 | span.MsoIntenseReference |
|---|
| 611 | {mso-style-priority:32; |
|---|
| 612 | mso-style-unhide:no; |
|---|
| 613 | mso-style-qformat:yes; |
|---|
| 614 | font-variant:small-caps; |
|---|
| 615 | color:#C0504D; |
|---|
| 616 | mso-themecolor:accent2; |
|---|
| 617 | letter-spacing:.25pt; |
|---|
| 618 | font-weight:bold; |
|---|
| 619 | text-decoration:underline; |
|---|
| 620 | text-underline:single;} |
|---|
| 621 | span.Heading1Char |
|---|
| 622 | {mso-style-name:"Heading 1 Char"; |
|---|
| 623 | mso-style-priority:9; |
|---|
| 624 | mso-style-unhide:no; |
|---|
| 625 | mso-style-locked:yes; |
|---|
| 626 | mso-style-link:"Heading 1"; |
|---|
| 627 | mso-ansi-font-size:24.0pt; |
|---|
| 628 | mso-bidi-font-size:24.0pt; |
|---|
| 629 | font-family:"Times New Roman","serif"; |
|---|
| 630 | mso-ascii-font-family:"Times New Roman"; |
|---|
| 631 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 632 | mso-fareast-theme-font:minor-fareast; |
|---|
| 633 | mso-hansi-font-family:"Times New Roman"; |
|---|
| 634 | mso-bidi-font-family:"Times New Roman"; |
|---|
| 635 | mso-font-kerning:18.0pt; |
|---|
| 636 | font-weight:bold;} |
|---|
| 637 | span.Heading2Char |
|---|
| 638 | {mso-style-name:"Heading 2 Char"; |
|---|
| 639 | mso-style-noshow:yes; |
|---|
| 640 | mso-style-priority:9; |
|---|
| 641 | mso-style-unhide:no; |
|---|
| 642 | mso-style-locked:yes; |
|---|
| 643 | mso-style-link:"Heading 2"; |
|---|
| 644 | mso-ansi-font-size:18.0pt; |
|---|
| 645 | mso-bidi-font-size:18.0pt; |
|---|
| 646 | font-family:"Times New Roman","serif"; |
|---|
| 647 | mso-ascii-font-family:"Times New Roman"; |
|---|
| 648 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 649 | mso-fareast-theme-font:minor-fareast; |
|---|
| 650 | mso-hansi-font-family:"Times New Roman"; |
|---|
| 651 | mso-bidi-font-family:"Times New Roman"; |
|---|
| 652 | font-weight:bold;} |
|---|
| 653 | span.Heading3Char |
|---|
| 654 | {mso-style-name:"Heading 3 Char"; |
|---|
| 655 | mso-style-noshow:yes; |
|---|
| 656 | mso-style-priority:9; |
|---|
| 657 | mso-style-unhide:no; |
|---|
| 658 | mso-style-locked:yes; |
|---|
| 659 | mso-style-link:"Heading 3"; |
|---|
| 660 | mso-ansi-font-size:13.5pt; |
|---|
| 661 | mso-bidi-font-size:13.5pt; |
|---|
| 662 | font-family:"Times New Roman","serif"; |
|---|
| 663 | mso-ascii-font-family:"Times New Roman"; |
|---|
| 664 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 665 | mso-fareast-theme-font:minor-fareast; |
|---|
| 666 | mso-hansi-font-family:"Times New Roman"; |
|---|
| 667 | mso-bidi-font-family:"Times New Roman"; |
|---|
| 668 | font-weight:bold;} |
|---|
| 669 | span.Heading4Char |
|---|
| 670 | {mso-style-name:"Heading 4 Char"; |
|---|
| 671 | mso-style-noshow:yes; |
|---|
| 672 | mso-style-priority:9; |
|---|
| 673 | mso-style-unhide:no; |
|---|
| 674 | mso-style-locked:yes; |
|---|
| 675 | mso-style-link:"Heading 4"; |
|---|
| 676 | mso-ansi-font-size:13.0pt; |
|---|
| 677 | mso-bidi-font-size:13.0pt; |
|---|
| 678 | font-family:"Cambria","serif"; |
|---|
| 679 | mso-ascii-font-family:Cambria; |
|---|
| 680 | mso-ascii-theme-font:major-latin; |
|---|
| 681 | mso-fareast-font-family:"Times New Roman"; |
|---|
| 682 | mso-fareast-theme-font:major-fareast; |
|---|
| 683 | mso-hansi-font-family:Cambria; |
|---|
| 684 | mso-hansi-theme-font:major-latin; |
|---|
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| 884 | |
|---|
| 885 | <h1><strong><span style='mso-bidi-font-weight:normal'>Fitting Small Angle X-Ray |
|---|
| 886 | Data Alumina Powder</span><o:p></o:p></strong></h1> |
|---|
| 887 | |
|---|
| 888 | <p class=MsoNormal style='mso-layout-grid-align:none;text-autospace:none'>In |
|---|
| 889 | this tutorial you will fit small angle scattering data for an alumina polishing |
|---|
| 890 | powder using data from a constant wavelength synchrotron X-ray USAXS |
|---|
| 891 | instrument. You will use both a lognormal distribution of spherical particles |
|---|
| 892 | model and a unified <span class=SpellE>Guinier-Porod</span> model. The data |
|---|
| 893 | were collected from <span style='mso-fareast-font-family:Calibri;mso-fareast-theme-font: |
|---|
| 894 | minor-latin;mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>powders |
|---|
| 895 | spread onto sticky tape and covered with another layer of the same tape. The |
|---|
| 896 | data were corrected for background using data collected from two layers of |
|---|
| 897 | sticky tape. However, the sample thickness is not</span> accurately known <span |
|---|
| 898 | style='mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin; |
|---|
| 899 | mso-bidi-font-weight:bold;mso-bidi-font-style:italic'>so the data are not calibrated |
|---|
| 900 | on an absolute scale.<o:p></o:p></span></p> |
|---|
| 901 | |
|---|
| 902 | <p class=MsoNormal>If you have not done so already, <a |
|---|
| 903 | href="Starting%20GSAS.htm">start GSAS-II</a>.</p> |
|---|
| 904 | |
|---|
| 905 | <h2>Step 1: read in the data file</h2> |
|---|
| 906 | |
|---|
| 907 | <p class=MsoListParagraphCxSpFirst style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span |
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| 908 | style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>1.<span |
|---|
| 909 | style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>If |
|---|
| 910 | you have saved the GSAS-II project file from the <b style='mso-bidi-font-weight: |
|---|
| 911 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 912 | minor-latin;mso-hansi-theme-font:minor-latin'>Size Distribution</span></b> |
|---|
| 913 | tutorial, use <b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 914 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 915 | minor-latin'>File/Open project
</span></b> menu item to retrieve the data; plots |
|---|
| 916 | of the size distribution and the data will appear. Then go to <!--[if supportFields]><b |
|---|
| 917 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 918 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'><span |
|---|
| 919 | style='mso-element:field-begin'></span><span style='mso-spacerun:yes'> </span>REF |
|---|
| 920 | _Ref386704789 \h <span style='mso-spacerun:yes'> </span>\* MERGEFORMAT <span |
|---|
| 921 | style='mso-element:field-separator'></span></span></b><![endif]--><b |
|---|
| 922 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 923 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Step 2: Set |
|---|
| 924 | Limits<!--[if gte mso 9]><xml> |
|---|
| 925 | <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003300380036003700300034003700380039000000</w:data> |
|---|
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|---|
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|---|
| 928 | minor-latin;mso-hansi-theme-font:minor-latin'><span style='mso-element:field-end'></span></span></b><![endif]-->. |
|---|
| 929 | Otherwise, use the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 930 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 931 | mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font: |
|---|
| 932 | minor-latin'>Import/Small Angle Data/from a q step QIE data file</span></b> |
|---|
| 933 | menu item to read the data file into GSAS-II. This read option is set to read |
|---|
| 934 | three column small angle scattering data (SASD) as Q, intensity and estimated |
|---|
| 935 | standard deviation in intensity; there may be a header with metadata |
|---|
| 936 | information in the front of this file.<span style='mso-spacerun:yes'> |
|---|
| 937 | </span>Change the file directory to <b style='mso-bidi-font-weight:normal'><span |
|---|
| 938 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 939 | mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font: |
|---|
| 940 | minor-latin'>Exercises/Small angle</span></b><span style='font-family:"Calibri","sans-serif"; |
|---|
| 941 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family: |
|---|
| 942 | Calibri;mso-bidi-theme-font:minor-latin'> to find the file.</span></p> |
|---|
| 943 | |
|---|
| 944 | <p class=MsoListParagraphCxSpLast style='text-indent:-.25in;mso-list:l0 level1 lfo2'><![if !supportLists]><span |
|---|
| 945 | style='mso-fareast-font-family:"Times New Roman"'><span style='mso-list:Ignore'>2.<span |
|---|
| 946 | style='font:7.0pt "Times New Roman"'> </span></span></span><![endif]>Select |
|---|
| 947 | the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 948 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family: |
|---|
| 949 | Calibri;mso-bidi-theme-font:minor-latin'>alumina data.dat</span></b><span |
|---|
| 950 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 951 | mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font: |
|---|
| 952 | minor-latin'> data</span> file in the first dialog and press <b |
|---|
| 953 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 954 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family: |
|---|
| 955 | Calibri;mso-bidi-theme-font:minor-latin'>Open</span></b>. There will be a |
|---|
| 956 | Dialog box asking <span class=GramE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 957 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 958 | mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font: |
|---|
| 959 | minor-latin'>Is</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 960 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 961 | mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font: |
|---|
| 962 | minor-latin'> this the file you want?</span></b> Press <span class=GramE><b |
|---|
| 963 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 964 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-font-family: |
|---|
| 965 | Calibri;mso-bidi-theme-font:minor-latin'>Yes</span></b></span> button to |
|---|
| 966 | proceed.</p> |
|---|
| 967 | |
|---|
| 968 | <p class=MsoNormal>At this point the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 969 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 970 | mso-hansi-theme-font:minor-latin;mso-bidi-font-family:Calibri;mso-bidi-theme-font: |
|---|
| 971 | minor-latin'>GSAS-II data tree</span></b> window will have several entries and |
|---|
| 972 | the plot window will show the SASD pattern as a log-log plot of intensity vs. Q</p> |
|---|
| 973 | |
|---|
| 974 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shapetype |
|---|
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| 993 | <o:lock v:ext="edit" aspectratio="t"/> |
|---|
| 994 | </v:shapetype><v:shape id="Picture_x0020_6" o:spid="_x0000_i1048" type="#_x0000_t75" |
|---|
| 995 | style='width:525pt;height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 996 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image001.png" |
|---|
| 997 | o:title=""/> |
|---|
| 998 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 999 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image001.png" v:shapes="Picture_x0020_6"><![endif]></span></p> |
|---|
| 1000 | |
|---|
| 1001 | <h2><a name="_Ref386704789">Step 2: Set Limits</a></h2> |
|---|
| 1002 | |
|---|
| 1003 | <p class=MsoNormal>For this step we will reposition the limits to exclude only the |
|---|
| 1004 | last point in the pattern as it does appear to be somewhat suspect (see plot). |
|---|
| 1005 | Select <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1006 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Limits</span></b> |
|---|
| 1007 | under <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1008 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina |
|---|
| 1009 | data.dat</span></b> from the GSAS-II tree. Set the upper limit <span |
|---|
| 1010 | class=SpellE>limit</span> using the cursor on the plot by picking the |
|---|
| 1011 | next-to-last point on the curve with the left or right mouse button. The limits |
|---|
| 1012 | window should look like</p> |
|---|
| 1013 | |
|---|
| 1014 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1015 | id="Picture_x0020_15" o:spid="_x0000_i1047" type="#_x0000_t75" style='width:225pt; |
|---|
| 1016 | height:195pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1017 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image002.png" |
|---|
| 1018 | o:title=""/> |
|---|
| 1019 | </v:shape><![endif]--><![if !vml]><img border=0 width=300 height=260 |
|---|
| 1020 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image002.png" v:shapes="Picture_x0020_15"><![endif]></span><span |
|---|
| 1021 | style='mso-spacerun:yes'> </span></p> |
|---|
| 1022 | |
|---|
| 1023 | <h2>Step 3 Select the scattering substances for your sample</h2> |
|---|
| 1024 | |
|---|
| 1025 | <p class=MsoNormal><span style='mso-no-proof:yes'>If you have already done this |
|---|
| 1026 | step in the </span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1027 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1028 | mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>Size Distribution</span></b><span |
|---|
| 1029 | style='mso-no-proof:yes'> tutorial, skip to </span><!--[if supportFields]><b |
|---|
| 1030 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1031 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof: |
|---|
| 1032 | yes'><span style='mso-element:field-begin'></span><span |
|---|
| 1033 | style='mso-spacerun:yes'> </span>REF _Ref386699210 \h <span |
|---|
| 1034 | style='mso-spacerun:yes'> </span>\* MERGEFORMAT <span style='mso-element:field-separator'></span></span></b><![endif]--><b |
|---|
| 1035 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1036 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Step 4: Set |
|---|
| 1037 | Sample parameters<span style='mso-no-proof:yes'><!--[if gte mso 9]><xml> |
|---|
| 1038 | <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003300380036003600390039003200310030000000</w:data> |
|---|
| 1039 | </xml><![endif]--></span></span></b><!--[if supportFields]><b style='mso-bidi-font-weight: |
|---|
| 1040 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1041 | minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof:yes'><span |
|---|
| 1042 | style='mso-element:field-end'></span></span></b><![endif]--><span |
|---|
| 1043 | style='mso-no-proof:yes'>. Two substances need to be defined for your sample to |
|---|
| 1044 | give the anticipated scattering contrast; in this case one is alumina and the |
|---|
| 1045 | other is vacuum (really air). Parameters for a number of substances are |
|---|
| 1046 | defined in the file </span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1047 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1048 | mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>Substances.py</span></b><span |
|---|
| 1049 | style='mso-no-proof:yes'>. You can add your own substances to this or better |
|---|
| 1050 | put them in </span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1051 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1052 | mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>UserSubstances.py</span></b><span |
|---|
| 1053 | style='mso-no-proof:yes'>; this is read after Substances.py when you load |
|---|
| 1054 | substances for your selection. </span>Select <b style='mso-bidi-font-weight: |
|---|
| 1055 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1056 | minor-latin;mso-hansi-theme-font:minor-latin'>Substances</span></b> under <b |
|---|
| 1057 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1058 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina |
|---|
| 1059 | data.dat</span></b> from the GSAS-II tree. Then do <b style='mso-bidi-font-weight: |
|---|
| 1060 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1061 | minor-latin;mso-hansi-theme-font:minor-latin'>Edit/Load</span></b> substance |
|---|
| 1062 | from the menu; a popup window will appear with possible selections</p> |
|---|
| 1063 | |
|---|
| 1064 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1065 | id="_x0000_i1046" type="#_x0000_t75" style='width:259.5pt;height:252pt; |
|---|
| 1066 | visibility:visible;mso-wrap-style:square'> |
|---|
| 1067 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image003.png" |
|---|
| 1068 | o:title=""/> |
|---|
| 1069 | </v:shape><![endif]--><![if !vml]><img border=0 width=346 height=336 |
|---|
| 1070 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image003.png" v:shapes="_x0000_i1046"><![endif]><o:p></o:p></span></p> |
|---|
| 1071 | |
|---|
| 1072 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1073 | |
|---|
| 1074 | <p class=MsoNormal>Select <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1075 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1076 | mso-hansi-theme-font:minor-latin'>Alumina</span></b> and press <b |
|---|
| 1077 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1078 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>OK</span></b>; |
|---|
| 1079 | the relevant data for alumina (and vacuum) are displayed next</p> |
|---|
| 1080 | |
|---|
| 1081 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1082 | id="_x0000_i1045" type="#_x0000_t75" style='width:259.5pt;height:195pt; |
|---|
| 1083 | visibility:visible;mso-wrap-style:square'> |
|---|
| 1084 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image004.png" |
|---|
| 1085 | o:title=""/> |
|---|
| 1086 | </v:shape><![endif]--><![if !vml]><img border=0 width=346 height=260 |
|---|
| 1087 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image004.png" v:shapes="_x0000_i1045"><![endif]></span><span |
|---|
| 1088 | style='mso-spacerun:yes'> </span></p> |
|---|
| 1089 | |
|---|
| 1090 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1091 | |
|---|
| 1092 | <p class=MsoNormal>If desired you can load/add as many substances as you desire |
|---|
| 1093 | into this list; you can also delete any of them (except vacuum). The |
|---|
| 1094 | composition, volume occupied by the atoms in the composition and the density |
|---|
| 1095 | are given for each substance. These can each be edited; the other values will |
|---|
| 1096 | change accordingly. If your substance isnt in the list, you can <b |
|---|
| 1097 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1098 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Edit/Add |
|---|
| 1099 | substance</span></b> to create a new one (you will be asked for a name and the |
|---|
| 1100 | set of elements in two successive popup windows). From this information the |
|---|
| 1101 | scattering density and that as affected by resonant scattering for the listed |
|---|
| 1102 | wavelength is displayed (the wavelength can be changed in the <b |
|---|
| 1103 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1104 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Instrument |
|---|
| 1105 | Parameters</span></b> GSAS-II tree item if needed). The resonant scattering |
|---|
| 1106 | value is used for contrast calculations.</p> |
|---|
| 1107 | |
|---|
| 1108 | <h2><a name="_Ref386699210">Step 4: Set Sample parameters</a> </h2> |
|---|
| 1109 | |
|---|
| 1110 | <p class=MsoNormal><span style='mso-no-proof:yes'>If you have already done this |
|---|
| 1111 | step in the </span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1112 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1113 | mso-hansi-theme-font:minor-latin;mso-no-proof:yes'>Size Distribution</span></b><span |
|---|
| 1114 | style='mso-no-proof:yes'> tutorial, skip to </span><!--[if supportFields]><b |
|---|
| 1115 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1116 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof: |
|---|
| 1117 | yes'><span style='mso-element:field-begin'></span><span |
|---|
| 1118 | style='mso-spacerun:yes'> </span>REF _Ref386699210 \h <span |
|---|
| 1119 | style='mso-spacerun:yes'> </span>\* MERGEFORMAT <span style='mso-element:field-separator'></span></span></b><![endif]--><!--[if supportFields]><b |
|---|
| 1120 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1121 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'><span |
|---|
| 1122 | style='mso-element:field-begin'></span><span style='mso-no-proof:yes'><span |
|---|
| 1123 | style='mso-spacerun:yes'> </span>REF _Ref386699439 \h </span><span |
|---|
| 1124 | style='mso-spacerun:yes'> </span>\* MERGEFORMAT <span style='mso-element:field-separator'></span></span></b><![endif]--><b |
|---|
| 1125 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1126 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Step 5 Creation |
|---|
| 1127 | and Refinement of Log Normal Particle Model<!--[if gte mso 9]><xml> |
|---|
| 1128 | <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003300380036003600390039003400330039000000</w:data> |
|---|
| 1129 | </xml><![endif]--></span></b><!--[if supportFields]><b style='mso-bidi-font-weight: |
|---|
| 1130 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1131 | minor-latin;mso-hansi-theme-font:minor-latin'><span style='mso-element:field-end'></span></span></b><![endif]--><b |
|---|
| 1132 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1133 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>.<span |
|---|
| 1134 | style='mso-no-proof:yes'><!--[if gte mso 9]><xml> |
|---|
| 1135 | <w:data>08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003300380036003600390039003200310030000000</w:data> |
|---|
| 1136 | </xml><![endif]--></span></span></b><!--[if supportFields]><b style='mso-bidi-font-weight: |
|---|
| 1137 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1138 | minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof:yes'><span |
|---|
| 1139 | style='mso-element:field-end'></span></span></b><![endif]--><b |
|---|
| 1140 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1141 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-no-proof: |
|---|
| 1142 | yes'> </span></b>Two of the substances you have loaded into GSAS-II next need |
|---|
| 1143 | to be selected for this experiment; Select <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1144 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1145 | mso-hansi-theme-font:minor-latin'>Sample Parameters</span></b> under <b |
|---|
| 1146 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1147 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina |
|---|
| 1148 | data.dat</span></b> from the GSAS-II tree. Near the bottom of the window will |
|---|
| 1149 | be two rows marked <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1150 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1151 | mso-hansi-theme-font:minor-latin'>Material</span></b>; select <b |
|---|
| 1152 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1153 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Alumina</span></b> |
|---|
| 1154 | from one of the pull downs (leave the other as <b style='mso-bidi-font-weight: |
|---|
| 1155 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1156 | minor-latin;mso-hansi-theme-font:minor-latin'>vacuum</span></b>). The window |
|---|
| 1157 | will show at the bottom the computed contrast between alumina and vacuum |
|---|
| 1158 | without and with consideration of resonant scattering effects; the latter is |
|---|
| 1159 | used in subsequent calculations.</p> |
|---|
| 1160 | |
|---|
| 1161 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1162 | id="_x0000_i1044" type="#_x0000_t75" style='width:305.25pt;height:369pt; |
|---|
| 1163 | visibility:visible;mso-wrap-style:square'> |
|---|
| 1164 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image005.png" |
|---|
| 1165 | o:title=""/> |
|---|
| 1166 | </v:shape><![endif]--><![if !vml]><img border=0 width=407 height=492 |
|---|
| 1167 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image005.png" v:shapes="_x0000_i1044"><![endif]></span></p> |
|---|
| 1168 | |
|---|
| 1169 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1170 | |
|---|
| 1171 | <p class=MsoNormal>For experiments for which you know the transmission and the |
|---|
| 1172 | sample thickness, you can manipulate the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1173 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1174 | mso-hansi-theme-font:minor-latin'>volume fractions</span></b> to make the |
|---|
| 1175 | calculated transmission match the observed one. Additionally, if you have |
|---|
| 1176 | absolute scaling information, you can rescale the data by adjusting the <b |
|---|
| 1177 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1178 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>histogram |
|---|
| 1179 | scale factor</span></b>; multiple data sets can be scaled together via the <b |
|---|
| 1180 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1181 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Command/Set |
|---|
| 1182 | scale</span></b> menu item.</p> |
|---|
| 1183 | |
|---|
| 1184 | <h2><a name="_Ref386699439"></a><a name="_Ref386699331"><span style='mso-bookmark: |
|---|
| 1185 | _Ref386699439'>Step 5 </span></a><span style='mso-bookmark:_Ref386699439'>Creation |
|---|
| 1186 | and Refinement of Log Normal Particle Model</span></h2> |
|---|
| 1187 | |
|---|
| 1188 | <p class=MsoNormal>You are now ready to attempt fitting the data with a log |
|---|
| 1189 | normal distribution of spherical particles. Thus youll need to select <b |
|---|
| 1190 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1191 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Models</span></b> |
|---|
| 1192 | under <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1193 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>SASD alumina |
|---|
| 1194 | data.dat</span></b> from the GSAS-II tree; the data window will display the <b |
|---|
| 1195 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1196 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Size dist.</span></b> |
|---|
| 1197 | display;<span style='mso-no-proof:yes'> </span></p> |
|---|
| 1198 | |
|---|
| 1199 | <p class=MsoNormal><span class=GramE>change</span> this to <b style='mso-bidi-font-weight: |
|---|
| 1200 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1201 | minor-latin;mso-hansi-theme-font:minor-latin'>Particle fit</span></b> using the |
|---|
| 1202 | <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1203 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Modeling by</span></b> |
|---|
| 1204 | pull down. NB: GSAS-II will remember your selection for the next time you enter |
|---|
| 1205 | this <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1206 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Models</span></b> |
|---|
| 1207 | data tree item.</p> |
|---|
| 1208 | |
|---|
| 1209 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1210 | id="Picture_x0020_16" o:spid="_x0000_i1043" type="#_x0000_t75" style='width:379.5pt; |
|---|
| 1211 | height:142.5pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1212 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image006.png" |
|---|
| 1213 | o:title=""/> |
|---|
| 1214 | </v:shape><![endif]--><![if !vml]><img border=0 width=506 height=190 |
|---|
| 1215 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image006.png" v:shapes="Picture_x0020_16"><![endif]></span></p> |
|---|
| 1216 | |
|---|
| 1217 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1218 | |
|---|
| 1219 | <p class=MsoNormal>If you had done the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1220 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1221 | mso-hansi-theme-font:minor-latin'>Size Distribution</span></b> tutorial, you |
|---|
| 1222 | would know that there were two populations of particles in the sample. One had |
|---|
| 1223 | a mean diameter of ~1300A and the other had a mean diameter of ~150A. You will |
|---|
| 1224 | also need something to describe the very lowest Q portion of the data. Do <b |
|---|
| 1225 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1226 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Models/Add</span></b> |
|---|
| 1227 | from the menu; the data window will change and the plots will be refreshed. |
|---|
| 1228 | Your first step is to change the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1229 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1230 | mso-hansi-theme-font:minor-latin'>Material</span></b> to <b style='mso-bidi-font-weight: |
|---|
| 1231 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1232 | minor-latin;mso-hansi-theme-font:minor-latin'>Alumina</span></b> and make sure |
|---|
| 1233 | the <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1234 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Background</span></b> |
|---|
| 1235 | is something reasonable (<b style='mso-bidi-font-weight:normal'><span |
|---|
| 1236 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1237 | mso-hansi-theme-font:minor-latin'>0.11</span></b>) based on the data at highest |
|---|
| 1238 | Q; again the data window and plots will be refreshed.</p> |
|---|
| 1239 | |
|---|
| 1240 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1241 | id="Picture_x0020_17" o:spid="_x0000_i1042" type="#_x0000_t75" style='width:379.5pt; |
|---|
| 1242 | height:315pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1243 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image007.png" |
|---|
| 1244 | o:title=""/> |
|---|
| 1245 | </v:shape><![endif]--><![if !vml]><img border=0 width=506 height=420 |
|---|
| 1246 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image007.png" v:shapes="Picture_x0020_17"><![endif]></span></p> |
|---|
| 1247 | |
|---|
| 1248 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1249 | |
|---|
| 1250 | <p class=MsoNormal>The data plot shows a horizontal red line for the background |
|---|
| 1251 | and a green one calculated from your selected model. </p> |
|---|
| 1252 | |
|---|
| 1253 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1254 | id="Picture_x0020_18" o:spid="_x0000_i1041" type="#_x0000_t75" style='width:525pt; |
|---|
| 1255 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1256 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image008.png" |
|---|
| 1257 | o:title=""/> |
|---|
| 1258 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1259 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image008.png" v:shapes="Picture_x0020_18"><![endif]></span></p> |
|---|
| 1260 | |
|---|
| 1261 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1262 | |
|---|
| 1263 | <p class=MsoNormal>You can manually adjust the calculated curve by using the |
|---|
| 1264 | sliders: increase <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1265 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1266 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1267 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1268 | minor-latin;mso-hansi-theme-font:minor-latin'> Volume</span></b> and decrease <span |
|---|
| 1269 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1270 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1271 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1272 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1273 | mso-hansi-theme-font:minor-latin'> Mean</span></b> to improve the fit. NB: The <span |
|---|
| 1274 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1275 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1276 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1277 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1278 | mso-hansi-theme-font:minor-latin'> Mean</span></b> is a radius so its value is |
|---|
| 1279 | roughly œ the <b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1280 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1281 | minor-latin'>Size Distribution</span></b> result. The sliders cover 2 orders of |
|---|
| 1282 | <span class=GramE>magnitude,</span> their range is reset if a value is entered |
|---|
| 1283 | in the value field. After changing <span class=SpellE><b style='mso-bidi-font-weight: |
|---|
| 1284 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1285 | minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1286 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1287 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> Mean</span></b> |
|---|
| 1288 | to 700 and <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1289 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1290 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1291 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1292 | minor-latin;mso-hansi-theme-font:minor-latin'> Volume</span></b> to <b |
|---|
| 1293 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1294 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>0.0953</span></b> |
|---|
| 1295 | my plot is</p> |
|---|
| 1296 | |
|---|
| 1297 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1298 | id="Picture_x0020_19" o:spid="_x0000_i1040" type="#_x0000_t75" style='width:525pt; |
|---|
| 1299 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1300 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image009.png" |
|---|
| 1301 | o:title=""/> |
|---|
| 1302 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1303 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image009.png" v:shapes="Picture_x0020_19"><![endif]></span></p> |
|---|
| 1304 | |
|---|
| 1305 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1306 | |
|---|
| 1307 | <p class=MsoNormal>There is an obvious discrepancy at low Q and a much less |
|---|
| 1308 | obvious one at Q~0.033Å<sup>-1</sup>; the latter is responsible for the ~150Å |
|---|
| 1309 | peak in the <b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1310 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1311 | minor-latin'>Size Distribution</span></b> result. Do another <b |
|---|
| 1312 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1313 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Models/Add</span></b> |
|---|
| 1314 | to include it. The data window now shows two components</p> |
|---|
| 1315 | |
|---|
| 1316 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1317 | id="Picture_x0020_20" o:spid="_x0000_i1039" type="#_x0000_t75" style='width:379.5pt; |
|---|
| 1318 | height:487.5pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1319 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image010.png" |
|---|
| 1320 | o:title=""/> |
|---|
| 1321 | </v:shape><![endif]--><![if !vml]><img border=0 width=506 height=650 |
|---|
| 1322 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image010.png" v:shapes="Picture_x0020_20"><![endif]></span></p> |
|---|
| 1323 | |
|---|
| 1324 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1325 | |
|---|
| 1326 | <p class=MsoNormal>Note the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1327 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1328 | mso-hansi-theme-font:minor-latin'>Material</span></b> for the new one is preset |
|---|
| 1329 | to <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1330 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Alumina</span></b> |
|---|
| 1331 | to save you the easily forgotten step of setting it. Change <span class=SpellE><b |
|---|
| 1332 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1333 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1334 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1335 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> Mean</span></b> |
|---|
| 1336 | to <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1337 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>75</span></b> |
|---|
| 1338 | (i.e. œ of 150) and reduce <span class=SpellE><b style='mso-bidi-font-weight: |
|---|
| 1339 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1340 | minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1341 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1342 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> Volume</span></b> |
|---|
| 1343 | to make the green curve better match the data (you can inset <b |
|---|
| 1344 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1345 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>0</span></b>s |
|---|
| 1346 | in the value & play with the slider something like <b style='mso-bidi-font-weight: |
|---|
| 1347 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1348 | minor-latin;mso-hansi-theme-font:minor-latin'>0.0003</span></b> looks good). My |
|---|
| 1349 | fit looked like</p> |
|---|
| 1350 | |
|---|
| 1351 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1352 | id="Picture_x0020_21" o:spid="_x0000_i1038" type="#_x0000_t75" style='width:525pt; |
|---|
| 1353 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1354 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image011.png" |
|---|
| 1355 | o:title=""/> |
|---|
| 1356 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1357 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image011.png" v:shapes="Picture_x0020_21"><![endif]></span></p> |
|---|
| 1358 | |
|---|
| 1359 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1360 | |
|---|
| 1361 | <p class=MsoNormal>Finally we need to deal with the low Q region this is |
|---|
| 1362 | probably due to some agglomeration of the 1300Å articles which is best |
|---|
| 1363 | described by a pure <span class=SpellE>Porod</span> power law scattering model. |
|---|
| 1364 | Do another <b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1365 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1366 | minor-latin'>Models/Add</span></b> and change the <b style='mso-bidi-font-weight: |
|---|
| 1367 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1368 | minor-latin;mso-hansi-theme-font:minor-latin'>Distribution </span></b>selection |
|---|
| 1369 | to <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1370 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1371 | mso-hansi-theme-font:minor-latin'>Porod</span></b></span>. The third component |
|---|
| 1372 | is then (Ive shrunk the window & moved the scroll bar).</p> |
|---|
| 1373 | |
|---|
| 1374 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1375 | id="Picture_x0020_22" o:spid="_x0000_i1037" type="#_x0000_t75" style='width:379.5pt; |
|---|
| 1376 | height:270.75pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1377 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image012.png" |
|---|
| 1378 | o:title=""/> |
|---|
| 1379 | </v:shape><![endif]--><![if !vml]><img border=0 width=506 height=361 |
|---|
| 1380 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image012.png" v:shapes="Picture_x0020_22"><![endif]></span></p> |
|---|
| 1381 | |
|---|
| 1382 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1383 | |
|---|
| 1384 | <p class=MsoNormal>The green curve on the plot looks very poor</p> |
|---|
| 1385 | |
|---|
| 1386 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1387 | id="Picture_x0020_23" o:spid="_x0000_i1036" type="#_x0000_t75" style='width:525pt; |
|---|
| 1388 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1389 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image013.png" |
|---|
| 1390 | o:title=""/> |
|---|
| 1391 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1392 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image013.png" v:shapes="Picture_x0020_23"><![endif]></span></p> |
|---|
| 1393 | |
|---|
| 1394 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1395 | |
|---|
| 1396 | <p class=MsoNormal>Not to worry, all the problem is in the <span class=SpellE>Porod</span> |
|---|
| 1397 | component variables. <span class=GramE>Remembering that this is likely to be an |
|---|
| 1398 | agglomeration of 1300Å particles, set the <span class=SpellE><b |
|---|
| 1399 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1400 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1401 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1402 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> Cutoff</span></b> |
|---|
| 1403 | to that value.</span> That immediately restores the higher Q portion of the |
|---|
| 1404 | fit.</p> |
|---|
| 1405 | |
|---|
| 1406 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1407 | id="Picture_x0020_24" o:spid="_x0000_i1035" type="#_x0000_t75" style='width:525pt; |
|---|
| 1408 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1409 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image014.png" |
|---|
| 1410 | o:title=""/> |
|---|
| 1411 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1412 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image014.png" v:shapes="Picture_x0020_24"><![endif]></span></p> |
|---|
| 1413 | |
|---|
| 1414 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1415 | |
|---|
| 1416 | <p class=MsoNormal>Next use the <span class=SpellE><b style='mso-bidi-font-weight: |
|---|
| 1417 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1418 | minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1419 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1420 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> P</span></b> |
|---|
| 1421 | (power law exponent) slider to adjust the fit. In this case setting <span |
|---|
| 1422 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1423 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1424 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1425 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1426 | mso-hansi-theme-font:minor-latin'> P</span></b> to ~<b style='mso-bidi-font-weight: |
|---|
| 1427 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1428 | minor-latin;mso-hansi-theme-font:minor-latin'>3.25</span></b> gives a pretty |
|---|
| 1429 | good fit without needing to adjust the <span class=SpellE><b style='mso-bidi-font-weight: |
|---|
| 1430 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1431 | minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1432 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1433 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> B</span></b> |
|---|
| 1434 | <span class=SpellE>prefactor</span>.</p> |
|---|
| 1435 | |
|---|
| 1436 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1437 | id="Picture_x0020_25" o:spid="_x0000_i1034" type="#_x0000_t75" style='width:525pt; |
|---|
| 1438 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1439 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image015.png" |
|---|
| 1440 | o:title=""/> |
|---|
| 1441 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1442 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image015.png" v:shapes="Picture_x0020_25"><![endif]></span></p> |
|---|
| 1443 | |
|---|
| 1444 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1445 | |
|---|
| 1446 | <p class=MsoNormal>Finally, you can refine these coefficients to find the best |
|---|
| 1447 | fit to the data. As a beginner, Id start by refining just the two <span |
|---|
| 1448 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1449 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1450 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1451 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1452 | mso-hansi-theme-font:minor-latin'> Volume</span></b> and the <span |
|---|
| 1453 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1454 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1455 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1456 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1457 | mso-hansi-theme-font:minor-latin'> B</span></b> along with the <b |
|---|
| 1458 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1459 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Background</span></b> |
|---|
| 1460 | parameters (one might be able to refine everything at once, but then again it |
|---|
| 1461 | might not work); check the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1462 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1463 | mso-hansi-theme-font:minor-latin'>Refine?</span></b> <span class=GramE>boxes</span> |
|---|
| 1464 | for these parameters. Do <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1465 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1466 | mso-hansi-theme-font:minor-latin'>Models/Fit </span></b>to do the least squares |
|---|
| 1467 | refinement; convergence will occur very quickly. NB: if the refinement messes |
|---|
| 1468 | up, you can recover the previous result; do <b style='mso-bidi-font-weight: |
|---|
| 1469 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1470 | minor-latin;mso-hansi-theme-font:minor-latin'>Models/Undo</span></b> to |
|---|
| 1471 | recover. Then add the two <span class=SpellE><b style='mso-bidi-font-weight: |
|---|
| 1472 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1473 | minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1474 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1475 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> Mean</span></b> |
|---|
| 1476 | and <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1477 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1478 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1479 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1480 | minor-latin;mso-hansi-theme-font:minor-latin'> P</span></b> parameters to the |
|---|
| 1481 | refinement, again convergence is easily obtained. Finally, add the two <span |
|---|
| 1482 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1483 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1484 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1485 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1486 | mso-hansi-theme-font:minor-latin'> <span class=SpellE>StdDev</span></span></b> and |
|---|
| 1487 | <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1488 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1489 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1490 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1491 | minor-latin;mso-hansi-theme-font:minor-latin'> Cutoff</span></b> parameters (a |
|---|
| 1492 | total of ten) to the list. The result is a really nice fit to the data with |
|---|
| 1493 | reasonable values; the console window shows the full results of the refinement</p> |
|---|
| 1494 | |
|---|
| 1495 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1496 | id="Picture_x0020_28" o:spid="_x0000_i1033" type="#_x0000_t75" style='width:549.75pt; |
|---|
| 1497 | height:206.25pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1498 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image016.png" |
|---|
| 1499 | o:title=""/> |
|---|
| 1500 | </v:shape><![endif]--><![if !vml]><img border=0 width=733 height=275 |
|---|
| 1501 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image016.png" v:shapes="Picture_x0020_28"><![endif]></span></p> |
|---|
| 1502 | |
|---|
| 1503 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1504 | |
|---|
| 1505 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1506 | id="Picture_x0020_27" o:spid="_x0000_i1032" type="#_x0000_t75" style='width:525pt; |
|---|
| 1507 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1508 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image017.png" |
|---|
| 1509 | o:title=""/> |
|---|
| 1510 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1511 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image017.png" v:shapes="Picture_x0020_27"><![endif]></span></p> |
|---|
| 1512 | |
|---|
| 1513 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1514 | |
|---|
| 1515 | <p class=MsoNormal>If you had done a <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1516 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1517 | mso-hansi-theme-font:minor-latin'>Size Distribution</span></b> analysis, these |
|---|
| 1518 | results are plotted as component curves on that plot as well</p> |
|---|
| 1519 | |
|---|
| 1520 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1521 | id="Picture_x0020_29" o:spid="_x0000_i1031" type="#_x0000_t75" style='width:525pt; |
|---|
| 1522 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1523 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image018.png" |
|---|
| 1524 | o:title=""/> |
|---|
| 1525 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1526 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image018.png" v:shapes="Picture_x0020_29"><![endif]></span></p> |
|---|
| 1527 | |
|---|
| 1528 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1529 | |
|---|
| 1530 | <p class=MsoNormal>This is the sort of agreement one should expect between the |
|---|
| 1531 | best fit and the size distribution. To save these results you must do <b |
|---|
| 1532 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1533 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>File/Save |
|---|
| 1534 | project </span></b>in the main <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1535 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1536 | mso-hansi-theme-font:minor-latin'>GSAS-II data tree</span></b> window.</p> |
|---|
| 1537 | |
|---|
| 1538 | <h2>Step 6 Creation of a Unified <span class=SpellE>Guinier-Porod</span> Model</h2> |
|---|
| 1539 | |
|---|
| 1540 | <p class=MsoNormal>For the Unified model there is assumed to be particles with |
|---|
| 1541 | some radius of gyration (<span class=SpellE>Guinier</span> model) with a power |
|---|
| 1542 | law distribution tail (<span class=SpellE>Porod</span> model). This can be set |
|---|
| 1543 | for your model by changing the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1544 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1545 | mso-hansi-theme-font:minor-latin'>Distribution</span></b> for the first two |
|---|
| 1546 | components to <b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1547 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1548 | minor-latin'>Unified</span></b>. NB: the log normal coefficients are not lost |
|---|
| 1549 | by this step; they can be recovered by simply changing the <b style='mso-bidi-font-weight: |
|---|
| 1550 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1551 | minor-latin;mso-hansi-theme-font:minor-latin'>Distribution</span></b> back to <span |
|---|
| 1552 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1553 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1554 | minor-latin'>LogNormal</span></b></span>. The data window values give the |
|---|
| 1555 | defaults for these components</p> |
|---|
| 1556 | |
|---|
| 1557 | <p class=MsoNormal><span style='mso-no-proof:yes'><span |
|---|
| 1558 | style='mso-spacerun:yes'> </span><!--[if gte vml 1]><v:shape id="Picture_x0020_30" |
|---|
| 1559 | o:spid="_x0000_i1030" type="#_x0000_t75" style='width:379.5pt;height:546pt; |
|---|
| 1560 | visibility:visible;mso-wrap-style:square'> |
|---|
| 1561 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image019.png" |
|---|
| 1562 | o:title=""/> |
|---|
| 1563 | </v:shape><![endif]--><![if !vml]><img border=0 width=506 height=728 |
|---|
| 1564 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image019.png" v:shapes="Picture_x0020_30"><![endif]></span></p> |
|---|
| 1565 | |
|---|
| 1566 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1567 | |
|---|
| 1568 | <p class=MsoNormal>And the plot shows a poor fit</p> |
|---|
| 1569 | |
|---|
| 1570 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1571 | id="Picture_x0020_31" o:spid="_x0000_i1029" type="#_x0000_t75" style='width:525pt; |
|---|
| 1572 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1573 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image020.png" |
|---|
| 1574 | o:title=""/> |
|---|
| 1575 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1576 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image020.png" v:shapes="Picture_x0020_31"><![endif]></span></p> |
|---|
| 1577 | |
|---|
| 1578 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1579 | |
|---|
| 1580 | <p class=MsoNormal>First, change the <span class=SpellE><b style='mso-bidi-font-weight: |
|---|
| 1581 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1582 | minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1583 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1584 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> <span |
|---|
| 1585 | class=SpellE>Rg</span></span></b> values to be about œ the <b style='mso-bidi-font-weight: |
|---|
| 1586 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1587 | minor-latin;mso-hansi-theme-font:minor-latin'>Size Distribution</span></b> |
|---|
| 1588 | results (e.g. <b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1589 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1590 | minor-latin'>700</span></b> & <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1591 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1592 | mso-hansi-theme-font:minor-latin'>75</span></b>), then set the <span |
|---|
| 1593 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1594 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1595 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1596 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1597 | mso-hansi-theme-font:minor-latin'> Cutoff</span></b> value for the <span |
|---|
| 1598 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1599 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1600 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1601 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1602 | mso-hansi-theme-font:minor-latin'> <span class=SpellE>Rg</span></span></b>=700 |
|---|
| 1603 | one to <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1604 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>100</span></b>. |
|---|
| 1605 | Next, change the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1606 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1607 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1608 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1609 | minor-latin;mso-hansi-theme-font:minor-latin'> G</span></b> for the <span |
|---|
| 1610 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1611 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1612 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1613 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1614 | mso-hansi-theme-font:minor-latin'> <span class=SpellE>Rg</span>=700</span></b> |
|---|
| 1615 | one to be about the Intensity value for the lower Q bump in the data (~<b |
|---|
| 1616 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1617 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>1.0e6</span></b>). |
|---|
| 1618 | Finally, reduce the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1619 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1620 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1621 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1622 | minor-latin;mso-hansi-theme-font:minor-latin'> G</span></b> value for the <span |
|---|
| 1623 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1624 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1625 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1626 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1627 | mso-hansi-theme-font:minor-latin'> <span class=SpellE>Rg</span>=75</span></b> |
|---|
| 1628 | component to get the best fit to the data (~<b style='mso-bidi-font-weight: |
|---|
| 1629 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1630 | minor-latin;mso-hansi-theme-font:minor-latin'>210</span></b>). The data window |
|---|
| 1631 | looks like</p> |
|---|
| 1632 | |
|---|
| 1633 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1634 | id="Picture_x0020_32" o:spid="_x0000_i1028" type="#_x0000_t75" style='width:379.5pt; |
|---|
| 1635 | height:546pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1636 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image021.png" |
|---|
| 1637 | o:title=""/> |
|---|
| 1638 | </v:shape><![endif]--><![if !vml]><img border=0 width=506 height=728 |
|---|
| 1639 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image021.png" v:shapes="Picture_x0020_32"><![endif]></span></p> |
|---|
| 1640 | |
|---|
| 1641 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1642 | |
|---|
| 1643 | <p class=MsoNormal>And the plot looks like</p> |
|---|
| 1644 | |
|---|
| 1645 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1646 | id="Picture_x0020_33" o:spid="_x0000_i1027" type="#_x0000_t75" style='width:525pt; |
|---|
| 1647 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1648 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image022.png" |
|---|
| 1649 | o:title=""/> |
|---|
| 1650 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1651 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image022.png" v:shapes="Picture_x0020_33"><![endif]></span></p> |
|---|
| 1652 | |
|---|
| 1653 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1654 | |
|---|
| 1655 | <p class=MsoNormal>This is probably close enough to do a refinement. Select <b |
|---|
| 1656 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1657 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Refine?</span></b> |
|---|
| 1658 | For <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1659 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1660 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1661 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1662 | minor-latin;mso-hansi-theme-font:minor-latin'> G</span></b>, <span |
|---|
| 1663 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1664 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1665 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1666 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1667 | mso-hansi-theme-font:minor-latin'> <span class=SpellE>Rg</span></span></b> and <span |
|---|
| 1668 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1669 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1670 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1671 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1672 | mso-hansi-theme-font:minor-latin'> B</span></b> for both components (the <span |
|---|
| 1673 | class=SpellE><b style='mso-bidi-font-weight:normal'><span style='font-family: |
|---|
| 1674 | "Calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-hansi-theme-font: |
|---|
| 1675 | minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1676 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1677 | mso-hansi-theme-font:minor-latin'> B</span></b>, <span class=SpellE><b |
|---|
| 1678 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1679 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1680 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1681 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> P</span></b> |
|---|
| 1682 | and <b style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1683 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Background |
|---|
| 1684 | Refine?</span></b> boxes should also be checked). Then do <b style='mso-bidi-font-weight: |
|---|
| 1685 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1686 | minor-latin;mso-hansi-theme-font:minor-latin'>Models/Fit</span></b>; it should |
|---|
| 1687 | rapidly converge to give in the console window</p> |
|---|
| 1688 | |
|---|
| 1689 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1690 | id="Picture_x0020_34" o:spid="_x0000_i1026" type="#_x0000_t75" style='width:549.75pt; |
|---|
| 1691 | height:206.25pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1692 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image023.png" |
|---|
| 1693 | o:title=""/> |
|---|
| 1694 | </v:shape><![endif]--><![if !vml]><img border=0 width=733 height=275 |
|---|
| 1695 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image023.png" v:shapes="Picture_x0020_34"><![endif]></span></p> |
|---|
| 1696 | |
|---|
| 1697 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1698 | |
|---|
| 1699 | <p class=MsoNormal>And the closeness of the fit to the data in the plot is</p> |
|---|
| 1700 | |
|---|
| 1701 | <p class=MsoNormal><span style='mso-no-proof:yes'><!--[if gte vml 1]><v:shape |
|---|
| 1702 | id="Picture_x0020_35" o:spid="_x0000_i1025" type="#_x0000_t75" style='width:525pt; |
|---|
| 1703 | height:450pt;visibility:visible;mso-wrap-style:square'> |
|---|
| 1704 | <v:imagedata src="Fitting%20Small%20Angle%20Scattering%20Data_files/image024.png" |
|---|
| 1705 | o:title=""/> |
|---|
| 1706 | </v:shape><![endif]--><![if !vml]><img border=0 width=700 height=600 |
|---|
| 1707 | src="Fitting%20Small%20Angle%20Scattering%20Data_files/image024.png" v:shapes="Picture_x0020_35"><![endif]></span></p> |
|---|
| 1708 | |
|---|
| 1709 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1710 | |
|---|
| 1711 | <p class=MsoNormal>This fit is almost as close as the log normal one done |
|---|
| 1712 | earlier. However, the <span class=SpellE><b style='mso-bidi-font-weight:normal'><span |
|---|
| 1713 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1714 | mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b style='mso-bidi-font-weight: |
|---|
| 1715 | normal'><span style='font-family:"Calibri","sans-serif";mso-ascii-theme-font: |
|---|
| 1716 | minor-latin;mso-hansi-theme-font:minor-latin'> <span class=SpellE>Rg</span></span></b> |
|---|
| 1717 | values are a bit less than the corresponding <span class=SpellE><b |
|---|
| 1718 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1719 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>Dist</span></b></span><b |
|---|
| 1720 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1721 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'> Mean</span></b> |
|---|
| 1722 | values obtained earlier. Also note that this model makes no reference to the |
|---|
| 1723 | substance contrast used earlier (the <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1724 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1725 | mso-hansi-theme-font:minor-latin'>Size Distribution</span></b> plot will not |
|---|
| 1726 | have curves calculated from this model). To save these results you must do <b |
|---|
| 1727 | style='mso-bidi-font-weight:normal'><span style='font-family:"Calibri","sans-serif"; |
|---|
| 1728 | mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin'>File/Save |
|---|
| 1729 | project </span></b>in the main <b style='mso-bidi-font-weight:normal'><span |
|---|
| 1730 | style='font-family:"Calibri","sans-serif";mso-ascii-theme-font:minor-latin; |
|---|
| 1731 | mso-hansi-theme-font:minor-latin'>GSAS-II data tree</span></b> window.</p> |
|---|
| 1732 | |
|---|
| 1733 | <p class=MsoNormal>This concludes the SASD modeling tutorial.<o:p></o:p></p> |
|---|
| 1734 | |
|---|
| 1735 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1736 | |
|---|
| 1737 | <p class=MsoNormal><o:p> </o:p></p> |
|---|
| 1738 | |
|---|
| 1739 | </div> |
|---|
| 1740 | |
|---|
| 1741 | </body> |
|---|
| 1742 | |
|---|
| 1743 | </html> |
|---|
