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Uranium–thorium dating

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contents in deep sediments than in those of the continental shelf, and suspected that detrital sediments scavenged radium out of seawater. Piggot and Urry found in 1942, that radium excess corresponded with an excess of thorium. It took another 20 years until the technique was applied to terrestrial
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system), thorium-230 instead approaches secular equilibrium with its radioactive parent uranium-234. At secular equilibrium, the number of thorium-230 decays per year within a sample is equal to the number of thorium-230 produced, which also equals the number of uranium-234 decays per year in the
484:. This produces a Th atom which quickly becomes a U atom. Once the uranium is deposited, the ratio of U to U goes back down to its secular equilibrium (at which the radioactivities of the two are equal), with the distance from equilibrium decreasing by a factor of 2 every 245,000 years. 867: 1134:
with which one can measure the thorium-230/uranium-234 ratio in a sample, and the accuracy to which one knows the half-lives of thorium-230 and uranium-234. Using this technique to calculate an age, the ratio of uranium-234 to its parent isotope uranium-238 must also be measured.
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U-series dating is a family of methods which can be applied to different materials over different time ranges. Each method is named after the isotopes measured to obtain the date, mostly a daughter and its parent. Eight methods are listed in the table below.
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Costa, Kassandra M.; Hayes, Christopher T.; Anderson, Robert F.; Pavia, Frank J.; Bausch, Alexandra; Deng, Feifei; Dutay, Jean-Claude; Geibert, Walter; Heinze, Christoph; Henderson, Gideon; Hillaire-Marcel, Claude (2020).
852: 1100:{\displaystyle ^{230}{\text{Th}}/^{238}{\text{U}}=1+{\frac {^{234}{\text{U}}/^{238}{\text{U}}-1}{1-75000/245000}}-2^{-t/75000}-{\frac {^{234}{\text{U}}/^{238}{\text{U}}-1}{1-75000/245000}}\times 2^{t/245000-t/75000}} 576: 285:
of 245,000 years decays to thorium-230. Thorium-230 is itself radioactive with a half-life of 75,000 years, so instead of accumulating indefinitely (as for instance is the case for the
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is not soluble in natural water under conditions found at or near the surface of the earth, so materials grown in or from this water do not usually contain thorium. In contrast,
748:{\displaystyle ^{230}{\text{Th}}/^{238}{\text{U}}=1+{\frac {A}{1-75000/245000}}\times 2^{-t/245000}-\left(1+{\frac {A}{1-75000/245000}}\right)\times 2^{-t/75000}} 772: 99: 497: 178: 96:
This graph allows one to determine the age from two activity ratios, assuming that thorium is initially absent. The horizontal axis is
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can achieve a precision of ±1%. Conventional alpha counting's precision is ±5%. Mass spectrometry also uses smaller samples.
1305: 319:). In the late 1980s, the method was refined by mass spectrometry, with significant contributions from Larry Edwards. After 1130:
Uranium–thorium dating has an upper age limit of somewhat over 500,000 years, defined by the half-life of thorium-230, the
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The U/U method is based on the fact that U is dissolved preferentially over U because when a U atom decays by emitting an
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or is grown from such water also contains trace uranium, typically at levels of between a few parts per billion and few
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had been translated into English, U-Th dating came to widespread research attention in Western geology.
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U-Th dating yields the most accurate results if applied to precipitated calcium carbonate, that is in
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technique established in the 1960s which has been used since the 1970s to determine the age of
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by weight. As time passes after such material has formed, uranium-234 in the sample with a
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dating, the uranium-thorium technique does not measure accumulation of a stable end-member
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Schwarcz, Henry P. (January 1989). "Uranium series dating of Quaternary deposits".
1239: 1229: 491:, these expressions for activity rations (assuming that the Th starts at zero): 1322:"These two geochemists have one of the largest publishing networks in science" 1267: 1519: 1253: 481: 63: 1465: 1147:, travertines, and lacustrine limestones. Bone and shell are less reliable. 857:
Putting this into the second equation gives us an equation to be solved for
1244: 274: 168:{\displaystyle {\tfrac {R'}{Q'}}={\tfrac {{\ce {^230Th}}}{{\ce {^234U}}}},} 847:{\displaystyle A=(^{234}{\text{U}}/^{238}{\text{U}}-1)\times 2^{t/245000}} 480:
the daughter atom is displaced from its normal position in the crystal by
247:{\displaystyle {\tfrac {Q'}{P'}}={\tfrac {{\ce {^234U}}}{{\ce {^238U}}}}.} 1452:
Schwarcz, Henry P. (2005). "Uranium series dating in paleoanthropology".
1429: 1412: 1234: 1209: 1144: 571:{\displaystyle ^{234}{\text{U}}/^{238}{\text{U}}=1+A\times 2^{-t/245000}} 324: 316: 312: 81: 77: 71: 43: 1499:. University of Wisconsin-Madison Chemistry Department. Archived from 477: 352: 299: 282: 273:
is soluble to some extent in all natural water, so any material that
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Isobar Science | Strontium Isotope Analysis - Geochemistry
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Evolutionary Anthropology: Issues, News, and Reviews
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A material balance gives, for some unknown constant
1188:. Department of Geosciences, University of Arizona 1099: 846: 747: 570: 246: 167: 1517: 1410: 1289: 1287: 1411:M. B. Anderson; et al. (Dec 8, 2010). 1368: 1366: 1428: 1284: 1268:"Uranium Thorium Dating | Isobar Science" 1243: 1233: 1451: 1372: 262:for the age as a function of the ratios. 91: 1490: 1363: 1347:"Uranium–Thorium Dating of Speleothems" 372:Carbonates, phosphates, organic matter 1518: 1293: 1214:Paleoceanography and Paleoclimatology 1179: 1417:Geochemistry, Geophysics, Geosystems 758:We can solve the first equation for 28:uranium-series disequilibrium dating 1297:Science-Based Dating in Archaeology 13: 1497:Chemical of the Week on scifun.org 14: 1547: 1484: 1294:Aitken, M.J. (25 February 2014). 1125: 1118:, but it is easily found using 1445: 1404: 1339: 1314: 1260: 1200: 1173: 820: 783: 321:Viktor Viktorovich Cherdyntsev 70:has been restored between the 1: 1166: 762:in terms of the unknown age, 87: 50:. Unlike other commonly used 1395:10.1016/1040-6182(89)90005-0 1186:Biogeography ECOLOGY 438/538 1138: 302:, a professor of geology at 7: 1180:Davis, Owen (Spring 2005). 1154: 1120:equation solving algorithms 256:linear fractional hyperbola 175:while the vertical axis is 80:and its radioactive parent 10: 1552: 1300:. Routledge. p. 124. 1110:Unfortunately there is no 330: 293: 236: 222: 157: 143: 16:Radiometric dating method 1375:Quaternary International 1351:pubs.geoscienceworld.org 1182:"Uranium-Thorium Dating" 340:U-series dating methods 231: 225: 217: 211: 152: 146: 138: 132: 1491:Shakhashiri, Bassam Z. 1466:10.1002/evan.1360010207 1400:(subscription required) 400:Carbonates, phosphates 394:Alpha spec.; mass spec. 386:Carbonates, phosphates 366:Alpha spec.; mass spec. 323:'s landmark book about 1112:closed-form expression 1101: 848: 749: 572: 345:Isotope ratio measured 304:Trinity College Dublin 263: 260:closed-form expression 248: 169: 20:Uranium–thorium dating 1102: 849: 750: 573: 249: 170: 95: 32:uranium-series dating 1430:10.1029/2010GC003318 1235:10.1029/2019PA003820 1220:(2): e2019PA003820. 868: 773: 583: 498: 179: 100: 1503:on 14 February 2015 1387:1989QuInt...1....7S 1226:2020EGUGA..22.2186C 341: 68:secular equilibrium 54:techniques such as 1526:Radiometric dating 1161:Radiocarbon dating 1097: 844: 745: 568: 414:Detrital sediment 339: 264: 244: 239: 202: 165: 160: 123: 56:rubidium–strontium 52:radiometric dating 42:materials such as 36:radiometric dating 24:thorium-230 dating 1307:978-1-317-87149-1 1149:Mass spectrometry 1060: 1032: 1015: 971: 943: 926: 900: 883: 812: 795: 714: 650: 615: 598: 530: 513: 474: 473: 348:Analytical method 279:parts per million 238: 232: 230: 229: 228: 218: 216: 215: 214: 201: 159: 153: 151: 150: 149: 139: 137: 136: 135: 122: 84:within a sample. 40:calcium carbonate 1543: 1512: 1510: 1508: 1478: 1477: 1449: 1443: 1442: 1432: 1408: 1402: 1401: 1398: 1370: 1361: 1360: 1358: 1357: 1343: 1337: 1336: 1334: 1333: 1318: 1312: 1311: 1291: 1282: 1281: 1279: 1278: 1264: 1258: 1257: 1247: 1237: 1204: 1198: 1197: 1195: 1193: 1177: 1117: 1106: 1104: 1103: 1098: 1096: 1095: 1091: 1077: 1061: 1059: 1055: 1040: 1033: 1030: 1028: 1027: 1022: 1016: 1013: 1011: 1010: 1001: 996: 995: 991: 972: 970: 966: 951: 944: 941: 939: 938: 933: 927: 924: 922: 921: 912: 901: 898: 896: 895: 890: 884: 881: 879: 878: 860: 853: 851: 850: 845: 843: 842: 838: 813: 810: 808: 807: 802: 796: 793: 791: 790: 765: 761: 754: 752: 751: 746: 744: 743: 739: 720: 716: 715: 713: 709: 691: 675: 674: 670: 651: 649: 645: 627: 616: 613: 611: 610: 605: 599: 596: 594: 593: 577: 575: 574: 569: 567: 566: 562: 531: 528: 526: 525: 520: 514: 511: 509: 508: 490: 464:mass spec. (gas) 456:Marine sediment 442:Marine sediment 342: 338: 254:Each curve is a 253: 251: 250: 245: 240: 237: 226: 223: 212: 209: 203: 200: 192: 184: 174: 172: 171: 166: 161: 158: 147: 144: 133: 130: 124: 121: 113: 105: 1551: 1550: 1546: 1545: 1544: 1542: 1541: 1540: 1516: 1515: 1506: 1504: 1487: 1482: 1481: 1450: 1446: 1409: 1405: 1399: 1371: 1364: 1355: 1353: 1345: 1344: 1340: 1331: 1329: 1320: 1319: 1315: 1308: 1292: 1285: 1276: 1274: 1266: 1265: 1261: 1245:1721.1/133816.2 1205: 1201: 1191: 1189: 1178: 1174: 1169: 1157: 1141: 1128: 1115: 1087: 1073: 1069: 1065: 1051: 1041: 1029: 1023: 1018: 1017: 1012: 1006: 1003: 1002: 1000: 987: 980: 976: 962: 952: 940: 934: 929: 928: 923: 917: 914: 913: 911: 897: 891: 886: 885: 880: 874: 871: 869: 866: 865: 858: 834: 830: 826: 809: 803: 798: 797: 792: 786: 782: 774: 771: 770: 763: 759: 735: 728: 724: 705: 695: 690: 683: 679: 666: 659: 655: 641: 631: 626: 612: 606: 601: 600: 595: 589: 586: 584: 581: 580: 558: 551: 547: 527: 521: 516: 515: 510: 504: 501: 499: 496: 495: 488: 333: 306:, found higher 296: 224: 210: 207: 193: 185: 182: 180: 177: 176: 145: 131: 128: 114: 106: 103: 101: 98: 97: 90: 17: 12: 11: 5: 1549: 1539: 1538: 1533: 1528: 1514: 1513: 1486: 1485:External links 1483: 1480: 1479: 1444: 1403: 1362: 1338: 1313: 1306: 1283: 1259: 1199: 1171: 1170: 1168: 1165: 1164: 1163: 1156: 1153: 1140: 1137: 1127: 1124: 1108: 1107: 1094: 1090: 1086: 1083: 1080: 1076: 1072: 1068: 1064: 1058: 1054: 1050: 1047: 1044: 1039: 1036: 1026: 1021: 1009: 1005: 999: 994: 990: 986: 983: 979: 975: 969: 965: 961: 958: 955: 950: 947: 937: 932: 920: 916: 910: 907: 904: 894: 889: 877: 873: 855: 854: 841: 837: 833: 829: 825: 822: 819: 816: 806: 801: 789: 785: 781: 778: 756: 755: 742: 738: 734: 731: 727: 723: 719: 712: 708: 704: 701: 698: 694: 689: 686: 682: 678: 673: 669: 665: 662: 658: 654: 648: 644: 640: 637: 634: 630: 625: 622: 619: 609: 604: 592: 588: 578: 565: 561: 557: 554: 550: 546: 543: 540: 537: 534: 524: 519: 507: 503: 472: 471: 468: 465: 462: 458: 457: 454: 451: 448: 444: 443: 440: 437: 434: 430: 429: 426: 423: 420: 416: 415: 412: 409: 406: 402: 401: 398: 395: 392: 388: 387: 384: 381: 378: 374: 373: 370: 367: 364: 360: 359: 356: 349: 346: 332: 329: 295: 292: 258:. There is no 243: 235: 221: 206: 199: 196: 191: 188: 164: 156: 142: 127: 120: 117: 112: 109: 89: 86: 22:, also called 15: 9: 6: 4: 3: 2: 1548: 1537: 1534: 1532: 1529: 1527: 1524: 1523: 1521: 1502: 1498: 1494: 1489: 1488: 1475: 1471: 1467: 1463: 1459: 1455: 1448: 1440: 1436: 1431: 1426: 1422: 1418: 1414: 1407: 1396: 1392: 1388: 1384: 1380: 1376: 1369: 1367: 1352: 1348: 1342: 1327: 1323: 1317: 1309: 1303: 1299: 1298: 1290: 1288: 1273: 1269: 1263: 1255: 1251: 1246: 1241: 1236: 1231: 1227: 1223: 1219: 1215: 1211: 1203: 1187: 1183: 1176: 1172: 1162: 1159: 1158: 1152: 1150: 1146: 1136: 1133: 1126:Dating limits 1123: 1121: 1114:for the age, 1113: 1092: 1088: 1084: 1081: 1078: 1074: 1070: 1066: 1062: 1056: 1052: 1048: 1045: 1042: 1037: 1034: 1024: 1019: 1007: 1004: 997: 992: 988: 984: 981: 977: 973: 967: 963: 959: 956: 953: 948: 945: 935: 930: 918: 915: 908: 905: 902: 892: 887: 875: 872: 864: 863: 862: 839: 835: 831: 827: 823: 817: 814: 804: 799: 787: 779: 776: 769: 768: 767: 740: 736: 732: 729: 725: 721: 717: 710: 706: 702: 699: 696: 692: 687: 684: 680: 676: 671: 667: 663: 660: 656: 652: 646: 642: 638: 635: 632: 628: 623: 620: 617: 607: 602: 590: 587: 579: 563: 559: 555: 552: 548: 544: 541: 538: 535: 532: 522: 517: 505: 502: 494: 493: 492: 485: 483: 482:atomic recoil 479: 469: 466: 463: 460: 459: 455: 452: 449: 446: 445: 441: 438: 435: 432: 431: 427: 424: 421: 418: 417: 413: 410: 407: 404: 403: 399: 396: 393: 390: 389: 385: 382: 379: 376: 375: 371: 368: 365: 362: 361: 357: 354: 350: 347: 344: 343: 337: 328: 326: 322: 318: 314: 309: 305: 301: 291: 290:same sample. 288: 284: 280: 276: 272: 268: 261: 257: 241: 233: 219: 204: 197: 194: 189: 186: 162: 154: 140: 125: 118: 115: 110: 107: 94: 85: 83: 79: 76: 73: 69: 65: 64:decay product 61: 57: 53: 49: 45: 41: 37: 33: 29: 25: 21: 1505:. Retrieved 1501:the original 1496: 1460:(2): 56–62. 1457: 1453: 1447: 1420: 1416: 1406: 1378: 1374: 1354:. Retrieved 1350: 1341: 1330:. Retrieved 1328:. 2020-06-26 1326:Nature Index 1325: 1316: 1296: 1275:. Retrieved 1271: 1262: 1217: 1213: 1202: 1190:. Retrieved 1185: 1175: 1142: 1129: 1109: 856: 757: 486: 475: 351:Time range ( 334: 311:carbonates ( 297: 287:uranium–lead 275:precipitates 265: 60:uranium–lead 31: 27: 23: 19: 18: 1145:stalagmites 450:Alpha spec. 436:Alpha spec. 428:Carbonates 422:Alpha spec. 411:10–1,000(?) 408:Alpha spec. 380:Alpha spec. 325:uranium-234 317:travertines 313:speleothems 82:uranium-234 78:thorium-230 72:radioactive 1520:Categories 1507:24 October 1356:2023-09-01 1332:2023-09-01 1277:2024-05-11 1192:24 October 1167:References 358:Materials 88:Background 44:speleothem 1493:"Uranium" 1439:129292401 1254:2572-4525 1139:Precision 1132:precision 1082:− 1063:× 1046:− 1035:− 998:− 982:− 974:− 957:− 946:− 824:× 815:− 730:− 722:× 700:− 677:− 661:− 653:× 636:− 553:− 545:× 478:alpha ray 467:20–400(?) 397:100–1,000 300:John Joly 298:In 1908, 283:half-life 1474:83851086 1381:: 7–17. 1155:See also 198:′ 190:′ 119:′ 111:′ 1536:Uranium 1531:Thorium 1383:Bibcode 1222:Bibcode 405:U-trend 331:Methods 294:History 271:uranium 267:Thorium 75:isotope 34:, is a 1472:  1437:  1423:(12). 1304:  1252:  1079:245000 1057:245000 968:245000 840:245000 711:245000 672:245000 647:245000 564:245000 470:Coral 425:0.5–10 308:radium 1470:S2CID 1435:S2CID 1093:75000 1049:75000 993:75000 960:75000 741:75000 703:75000 639:75000 453:5–300 447:Pa/Th 439:5–300 433:Th/Th 383:1–300 369:1–350 48:coral 1509:2015 1302:ISBN 1250:ISSN 1194:2015 461:He/U 377:Pa/U 363:Th/U 315:and 1462:doi 1425:doi 1391:doi 1240:hdl 1230:doi 1025:238 1008:234 936:238 919:234 893:238 876:230 805:238 788:234 608:238 591:230 523:238 506:234 391:U/U 234:238 220:234 155:234 141:230 58:or 46:or 30:or 1522:: 1495:. 1468:. 1456:. 1433:. 1421:11 1419:. 1415:. 1389:. 1377:. 1365:^ 1349:. 1324:. 1286:^ 1270:. 1248:. 1238:. 1228:. 1218:35 1216:. 1212:. 1184:. 1122:. 882:Th 861:: 766:: 597:Th 419:Ra 353:ka 134:Th 26:, 1511:. 1476:. 1464:: 1458:1 1441:. 1427:: 1397:. 1393:: 1385:: 1379:1 1359:. 1335:. 1310:. 1280:. 1256:. 1242:: 1232:: 1224:: 1196:. 1116:t 1089:/ 1085:t 1075:/ 1071:t 1067:2 1053:/ 1043:1 1038:1 1031:U 1020:/ 1014:U 989:/ 985:t 978:2 964:/ 954:1 949:1 942:U 931:/ 925:U 909:+ 906:1 903:= 899:U 888:/ 859:t 836:/ 832:t 828:2 821:) 818:1 811:U 800:/ 794:U 784:( 780:= 777:A 764:t 760:A 737:/ 733:t 726:2 718:) 707:/ 697:1 693:A 688:+ 685:1 681:( 668:/ 664:t 657:2 643:/ 633:1 629:A 624:+ 621:1 618:= 614:U 603:/ 560:/ 556:t 549:2 542:A 539:+ 536:1 533:= 529:U 518:/ 512:U 489:A 355:) 242:. 227:U 213:U 205:= 195:P 187:Q 163:, 148:U 126:= 116:Q 108:R

Index

radiometric dating
calcium carbonate
speleothem
coral
radiometric dating
rubidium–strontium
uranium–lead
decay product
secular equilibrium
radioactive
isotope
thorium-230
uranium-234

linear fractional hyperbola
closed-form expression
Thorium
uranium
precipitates
parts per million
half-life
uranium–lead
John Joly
Trinity College Dublin
radium
speleothems
travertines
Viktor Viktorovich Cherdyntsev
uranium-234
ka

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