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Isomorphous replacement

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1207: 1600: 1612: 164: 262:. Because the alum crystals were largely isomorphous when the heavy atoms were changed out, they could be phased by isomorphous replacement. Fourier analysis was used to find the heavy atom positions. 537:
Green, D. W.; Ingram, Vernon Martin; Perutz, Max Ferdinand; Bragg, William Lawrence (1954-09-14). "The structure of haemoglobin - IV. Sign determination by the isomorphous replacement method".
1216: 1477: 1472: 1012: 1528: 202:, and others. An early demonstration of isomorphous replacement in crystallography came in 1927 with a paper reporting the x-ray crystal structures of a series of 174: 173:(MIR), which uses at least two isomorphous derivatives. Single isomorphous replacement is possible, but gives an ambiguious result with two possible phases; 686:(now merged into PHENIX) – Terwilliger, T.C. and J. Berendzen. (1999) "Automated MAD and MIR structure solution". Acta Crystallographica D55, 849-861. 756: 1346: 586:"Maximum-likelihood heavy-atom parameter refinement for multiple isomorphous replacement and multiwavelength anomalous diffraction methods" 32: 107: 1533: 1258: 1424: 716: 375: 1523: 1515: 369: 1576: 1554: 609: 483: 1569: 1419: 1085: 950: 799: 1559: 1457: 1153: 39:
with the heavy atom. The addition of the heavy atom (or ion) to the structure should not affect the crystal formation or
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Data sets from the native and heavy-atom derivative of the sample are first collected. Then the interpretation of the
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The first demonstration of isomorphous replacement in protein crystallography was in 1954 with a paper from
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is required to resolve the ambiguity. There are also forms that also take into account the
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Bella J, Rossmann MG (1998). "A General Phasing Algorithm for Multiple MAD and MIR Data".
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Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
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The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science
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Cork, J.M. (October 1927). "LX. The crystal structure of some of the alums".
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Early demonstrations of isomorphous replacement in crystallography come from
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reveals the heavy atom's location in the unit cell. This allows both the
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dimensions in comparison to its native form, hence, they should be
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of the soaked heavy atoms, called MIRAS and SIRAS respectively.
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of the heavy-atom contribution to be determined. Since the
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Zeitschrift für Kristallographie – New Crystal Structures
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Zeitschrift für Kristallographie – Crystalline Materials
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is historically the most common approach to solving the
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Vol. 276. pp.  1630: 210:compounds studied had the general formula AB(SO 254:) and S was usually sulfur, but could also be 710: 626: 1547: 409:"Dictionary of common terms used in PHENIX" 717: 703: 222:O, where A was a monovalent metallic ion ( 690: 481: 363: 376:Single-wavelength anomalous diffraction 1631: 820: 370:Multi-wavelength anomalous diffraction 281:Multiple isomorphous replacement (MIR) 698: 590:Macromolecular Crystallography Part A 584:de la Fortelle E, Bricogne G (1997). 101:vectors can be solved geometrically. 1611: 951:Phase transformation crystallography 677: 482:Robertson, J Monteath (1937-01-01). 446: 442: 440: 427:"Isomorphous Replacement (SIR, MIR)" 190:Single isomorphous replacement (SIR) 1458:Journal of Chemical Crystallography 724: 242:), B was a trivalent metallic ion ( 13: 577: 14: 1650: 664: 437: 1610: 1599: 1598: 1205: 171:multiple isomorphous replacement 146: 131: 113: 87:) then the phase of the native 1400:Bilbao Crystallographic Server 530: 488:Reports on Progress in Physics 475: 419: 401: 184: 66:of the heavy atom derivative ( 1: 602:10.1016/S0076-6879(97)76073-7 394: 17:Isomorphous replacement (IR) 7: 1448:Crystal Growth & Design 740:Timeline of crystallography 358: 285: 10: 1655: 1259:Nuclear magnetic resonance 179:anomalous X-ray scattering 80:) and the native crystal ( 1594: 1514: 1486: 1463:Journal of Crystal Growth 1438: 1390: 1337: 1284: 1215: 1203: 998: 989: 912: 765: 732: 649:10.1107/s0907444997010469 508:10.1088/0034-4885/4/1/324 461:10.1080/14786441008564371 206:compounds from Cork. The 1329:Single particle analysis 1187:Hermann–Mauguin notation 382: 169:The most common form is 52:Patterson difference map 1453:Crystallography Reviews 1297:Isomorphous replacement 1091:Lomer–Cottrell junction 200:John Monteath Robertson 966:Spinodal decomposition 691:Tutorials and examples 559:10.1098/rspa.1954.0203 338:binds to Cys residues. 160: 1639:X-ray crystallography 1506:Gregori Aminoff Prize 1302:Molecular replacement 364:Anomalous diffraction 161: 25:X-ray crystallography 812:Structure prediction 175:density modification 108: 1076:Cottrell atmosphere 1056:Partial dislocation 800:Restriction theorem 671:phase determination 641:1998AcCrD..54..159B 629:Acta Crystallogr. D 551:1954RSPSA.225..287G 500:1937RPPh....4..332R 1496:Carl Hermann Medal 1307:Molecular dynamics 1154:Defects in diamond 1149:Stone–Wales defect 795:Reciprocal lattice 757:Biocrystallography 156: 37:co-crystallization 1626: 1625: 1590: 1589: 1197:Thermal ellipsoid 1162: 1161: 1071:Frank–Read source 1031: 1030: 897:Aperiodic crystal 863: 862: 745:Crystallographers 678:Computer programs 611:978-0-12-182177-7 545:(1162): 287–307. 413:phenix-online.org 1646: 1614: 1613: 1602: 1601: 1545: 1544: 1468:Kristallografija 1322:Gerchberg–Saxton 1217:Characterisation 1209: 1192:Structure factor 996: 995: 981:Ostwald ripening 818: 817: 763: 762: 719: 712: 705: 696: 695: 660: 623: 571: 570: 534: 528: 527: 479: 473: 472: 444: 435: 434: 423: 417: 416: 405: 165: 163: 162: 157: 155: 154: 149: 140: 139: 134: 125: 124: 116: 64:structure factor 1654: 1653: 1649: 1648: 1647: 1645: 1644: 1643: 1629: 1628: 1627: 1622: 1586: 1543: 1510: 1482: 1434: 1386: 1357:CrystalExplorer 1333: 1317:Phase retrieval 1280: 1211: 1210: 1201: 1158: 1137:Schottky defect 1036:Perfect crystal 1027: 1023:Abnormal growth 985: 971:Supersaturation 934:Miscibility gap 915: 908: 859: 816: 780:Bravais lattice 761: 728: 726:Crystallography 723: 693: 680: 667: 612: 580: 578:Further reading 575: 574: 535: 531: 480: 476: 455:(23): 688–698. 445: 438: 425: 424: 420: 407: 406: 402: 397: 385: 366: 361: 345: 321:) bind between 319: 312: 288: 283: 221: 217: 213: 192: 187: 150: 145: 144: 135: 130: 129: 117: 112: 111: 109: 106: 105: 100: 93: 86: 79: 72: 12: 11: 5: 1652: 1642: 1641: 1624: 1623: 1621: 1620: 1608: 1595: 1592: 1591: 1588: 1587: 1585: 1584: 1579: 1574: 1573: 1572: 1567: 1562: 1551: 1549: 1542: 1541: 1536: 1531: 1526: 1520: 1518: 1512: 1511: 1509: 1508: 1503: 1498: 1492: 1490: 1484: 1483: 1481: 1480: 1475: 1470: 1465: 1460: 1455: 1450: 1444: 1442: 1436: 1435: 1433: 1432: 1427: 1422: 1417: 1412: 1407: 1402: 1396: 1394: 1388: 1387: 1385: 1384: 1379: 1374: 1369: 1364: 1359: 1354: 1349: 1343: 1341: 1335: 1334: 1332: 1331: 1326: 1325: 1324: 1314: 1309: 1304: 1299: 1294: 1292:Direct methods 1288: 1286: 1282: 1281: 1279: 1278: 1277: 1276: 1271: 1261: 1256: 1255: 1254: 1249: 1239: 1238: 1237: 1232: 1221: 1219: 1213: 1212: 1204: 1202: 1200: 1199: 1194: 1189: 1184: 1179: 1177:Ewald's sphere 1174: 1169: 1163: 1160: 1159: 1157: 1156: 1151: 1146: 1145: 1144: 1139: 1129: 1128: 1127: 1122: 1120:Frenkel defect 1117: 1115:Bjerrum defect 1107: 1106: 1105: 1095: 1094: 1093: 1088: 1083: 1081:Peierls stress 1078: 1073: 1068: 1063: 1058: 1053: 1051:Burgers vector 1043: 1041:Stacking fault 1038: 1032: 1029: 1028: 1026: 1025: 1020: 1015: 1010: 1004: 1002: 1000:Grain boundary 993: 987: 986: 984: 983: 978: 973: 968: 963: 958: 953: 948: 947: 946: 944:Liquid crystal 941: 936: 931: 920: 918: 910: 909: 907: 906: 905: 904: 894: 893: 892: 882: 881: 880: 875: 864: 861: 860: 858: 857: 852: 847: 842: 837: 832: 826: 824: 815: 814: 809: 807:Periodic table 804: 803: 802: 797: 792: 787: 782: 771: 769: 760: 759: 754: 749: 748: 747: 736: 734: 730: 729: 722: 721: 714: 707: 699: 692: 689: 688: 687: 679: 676: 675: 674: 666: 665:External links 663: 662: 661: 635:(2): 159–174. 624: 610: 579: 576: 573: 572: 529: 494:(1): 332–367. 474: 436: 418: 399: 398: 396: 393: 392: 391: 384: 381: 380: 379: 373: 365: 362: 360: 357: 356: 355: 343: 339: 333: 317: 310: 302: 287: 284: 282: 279: 267:David W. Green 219: 215: 211: 191: 188: 186: 183: 167: 166: 153: 148: 143: 138: 133: 128: 123: 120: 115: 98: 91: 84: 77: 70: 9: 6: 4: 3: 2: 1651: 1640: 1637: 1636: 1634: 1619: 1618: 1609: 1607: 1606: 1597: 1596: 1593: 1583: 1580: 1578: 1575: 1571: 1568: 1566: 1563: 1561: 1558: 1557: 1556: 1553: 1552: 1550: 1546: 1540: 1537: 1535: 1532: 1530: 1527: 1525: 1522: 1521: 1519: 1517: 1513: 1507: 1504: 1502: 1499: 1497: 1494: 1493: 1491: 1489: 1485: 1479: 1476: 1474: 1471: 1469: 1466: 1464: 1461: 1459: 1456: 1454: 1451: 1449: 1446: 1445: 1443: 1441: 1437: 1431: 1428: 1426: 1423: 1421: 1418: 1416: 1413: 1411: 1408: 1406: 1403: 1401: 1398: 1397: 1395: 1393: 1389: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1344: 1342: 1340: 1336: 1330: 1327: 1323: 1320: 1319: 1318: 1315: 1313: 1312:Patterson map 1310: 1308: 1305: 1303: 1300: 1298: 1295: 1293: 1290: 1289: 1287: 1283: 1275: 1272: 1270: 1267: 1266: 1265: 1262: 1260: 1257: 1253: 1250: 1248: 1245: 1244: 1243: 1240: 1236: 1233: 1231: 1228: 1227: 1226: 1223: 1222: 1220: 1218: 1214: 1208: 1198: 1195: 1193: 1190: 1188: 1185: 1183: 1182:Friedel's law 1180: 1178: 1175: 1173: 1170: 1168: 1165: 1164: 1155: 1152: 1150: 1147: 1143: 1140: 1138: 1135: 1134: 1133: 1130: 1126: 1125:Wigner effect 1123: 1121: 1118: 1116: 1113: 1112: 1111: 1110:Interstitials 1108: 1104: 1101: 1100: 1099: 1096: 1092: 1089: 1087: 1084: 1082: 1079: 1077: 1074: 1072: 1069: 1067: 1064: 1062: 1059: 1057: 1054: 1052: 1049: 1048: 1047: 1044: 1042: 1039: 1037: 1034: 1033: 1024: 1021: 1019: 1016: 1014: 1011: 1009: 1006: 1005: 1003: 1001: 997: 994: 992: 988: 982: 979: 977: 974: 972: 969: 967: 964: 962: 959: 957: 956:Precipitation 954: 952: 949: 945: 942: 940: 937: 935: 932: 930: 927: 926: 925: 924:Phase diagram 922: 921: 919: 917: 911: 903: 900: 899: 898: 895: 891: 888: 887: 886: 883: 879: 876: 874: 871: 870: 869: 866: 865: 856: 853: 851: 848: 846: 843: 841: 838: 836: 833: 831: 828: 827: 825: 823: 819: 813: 810: 808: 805: 801: 798: 796: 793: 791: 788: 786: 783: 781: 778: 777: 776: 773: 772: 770: 768: 764: 758: 755: 753: 750: 746: 743: 742: 741: 738: 737: 735: 731: 727: 720: 715: 713: 708: 706: 701: 700: 697: 685: 682: 681: 672: 669: 668: 658: 654: 650: 646: 642: 638: 634: 630: 625: 621: 617: 613: 607: 603: 599: 595: 591: 587: 582: 581: 568: 564: 560: 556: 552: 548: 544: 540: 533: 525: 521: 517: 513: 509: 505: 501: 497: 493: 489: 485: 478: 470: 466: 462: 458: 454: 450: 443: 441: 432: 428: 422: 414: 410: 404: 400: 390: 389:Patterson map 387: 386: 377: 374: 371: 368: 367: 354: 350: 346: 340: 337: 334: 332: 328: 324: 320: 313: 306: 303: 300: 297:ions bind to 296: 293: 292: 291: 278: 276: 272: 271:Vernon Ingram 268: 263: 261: 257: 253: 249: 245: 241: 237: 233: 229: 225: 209: 205: 201: 197: 196:James M. Cork 182: 180: 176: 172: 151: 141: 136: 126: 121: 118: 104: 103: 102: 97: 90: 83: 76: 69: 65: 61: 57: 53: 48: 46: 42: 38: 34: 30: 26: 22: 21:phase problem 18: 1615: 1603: 1548:Associations 1516:Organisation 1296: 1008:Disclination 939:Polymorphism 902:Quasicrystal 845:Orthorhombic 785:Miller index 733:Key concepts 632: 628: 589: 542: 538: 532: 491: 487: 477: 452: 448: 431:my.yetnet.ch 430: 421: 412: 403: 289: 264: 193: 170: 168: 95: 88: 81: 74: 67: 49: 35:solution or 16: 15: 1501:Ewald Prize 1269:Diffraction 1247:Diffraction 1230:Diffraction 1172:Bragg plane 1167:Bragg's law 1046:Dislocation 961:Segregation 873:Crystallite 790:Point group 185:Development 27:studies of 1285:Algorithms 1274:Scattering 1252:Scattering 1235:Scattering 1103:Slip bands 1066:Cross slip 916:transition 850:Tetragonal 840:Monoclinic 752:Metallurgy 395:References 351:) bind to 325:groups in 275:Max Perutz 45:isomorphic 33:heavy atom 1392:Databases 855:Triclinic 835:Hexagonal 775:Unit cell 767:Structure 524:250871380 516:0034-4885 469:1941-5982 260:tellurium 56:amplitude 41:unit cell 1633:Category 1605:Category 1440:Journals 1372:OctaDist 1367:JANA2020 1339:Software 1225:Electron 1142:F-center 929:Eutectic 890:Fiveling 885:Twinning 878:Equiaxed 620:27799110 567:96889917 359:See also 323:carboxyl 286:Examples 256:selenium 58:and the 29:proteins 1617:Commons 1565:Germany 1242:Neutron 1132:Vacancy 991:Defects 976:GP-zone 822:Systems 657:9761882 637:Bibcode 594:472–494 547:Bibcode 496:Bibcode 307:salts ( 301:groups. 1560:France 1555:Europe 1488:Awards 1018:Growth 868:Growth 655:  618:  608:  565:  522:  514:  467:  305:Uranyl 273:, and 1582:Japan 1529:IOBCr 1382:SHELX 1377:Olex2 1264:X-ray 914:Phase 830:Cubic 684:SOLVE 563:S2CID 520:S2CID 383:Other 378:(SAD) 372:(MAD) 299:thiol 250:, or 238:, or 60:phase 1524:IUCr 1425:ICDD 1420:ICSD 1405:CCDC 1352:Coot 1347:CCP4 1098:Slip 1061:Kink 653:PMID 616:PMID 606:ISBN 512:ISSN 465:ISSN 342:PtCl 336:Lead 329:and 208:alum 204:alum 94:and 1539:DMG 1534:RAS 1430:PDB 1415:COD 1410:CIF 1362:DSR 1086:GND 1013:CSL 645:doi 598:doi 555:doi 543:225 504:doi 457:doi 353:His 349:ion 331:Glu 327:Asp 258:or 224:NH4 218:12H 23:in 1635:: 1577:US 1570:UK 651:. 643:. 633:54 631:. 614:. 604:. 596:. 588:. 561:. 553:. 541:. 518:. 510:. 502:. 490:. 486:. 463:. 451:. 439:^ 429:. 411:. 316:NO 314:+ 309:UO 295:Hg 277:. 269:, 252:Fe 248:Cr 246:, 244:Al 240:Tl 236:Cs 234:, 232:Rb 230:, 226:, 198:, 99:ph 71:ph 47:. 718:e 711:t 704:v 659:. 647:: 639:: 622:. 600:: 569:. 557:: 549:: 526:. 506:: 498:: 492:4 471:. 459:: 453:4 433:. 415:. 347:( 344:4 318:3 311:2 228:K 220:2 216:2 214:) 212:4 152:h 147:F 142:+ 137:p 132:F 127:= 122:h 119:p 114:F 96:F 92:p 89:F 85:p 82:F 78:h 75:F 68:F

Index

phase problem
X-ray crystallography
proteins
heavy atom
co-crystallization
unit cell
isomorphic
Patterson difference map
amplitude
phase
structure factor
density modification
anomalous X-ray scattering
James M. Cork
John Monteath Robertson
alum
alum
NH4
K
Rb
Cs
Tl
Al
Cr
Fe
selenium
tellurium
David W. Green
Vernon Ingram
Max Perutz

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