Knowledge

Bohr magneton

Source 📝

363: 1174: 292: 1093: 512: 578:
had obtained the expression for the magnetic moment of the electron in 1913. The value is sometimes referred to as the "Bohr–Procopiu magneton" in Romanian scientific literature. The
1005:
La théorie du rayonnement et les quanta: Rapports et discussions de la réunion tenue à Bruxelles, du 30 octobre au 3 novembre 1911, sous les auspices de M. E. Solvay
628:
A magnetic moment of an electron in an atom is composed of two components. First, the orbital motion of an electron around a nucleus generates a magnetic moment by
1315: 567: 541: 1227: 755: 301: 1098: 236: 1020: 956: 1208: 1329: 1298: 931: 604:
In the summer of 1913, the values for the natural units of atomic angular momentum and magnetic moment were obtained by the Danish physicist
1187: 1265: 863: 800: 616:
gave the Bohr magneton its name in an article where he contrasted it with the magneton of the experimentalists which he called the
697: 655:. The Bohr magneton is the magnitude of the magnetic dipole moment of an electron orbiting an atom with this angular momentum. 903: 688:, a factor relating spin angular momentum to corresponding magnetic moment of a particle, having a value of approximately 2. 572: 1231: 629: 1361: 849: 1366: 468: 1371: 702: 678: 1351: 648: 1004: 788: 633: 1206:
Procopiu, Ștefan (1913). "Determining the Molecular Magnetic Moment by M. Planck's Quantum Theory".
1356: 776: 974: 682: 514:. Langevin assumed that the attractive force was inversely proportional to distance to the power 1185:
Procopiu, Ștefan (1911–1913). "Sur les éléments d'énergie" [On the elements of energy].
895: 575: 792: 681:
caused by its spin is also approximately one Bohr magneton, which results in the electron spin
1325: 1294: 1261: 927: 899: 879: 859: 845: 796: 722: 458: 373: 210: 964: 922:
Keith, Stephen T.; Quédec, Pierre (1992). "Magnetism and Magnetic Materials: The Magneton".
780: 712: 644: 431: 222: 1257: 717: 583: 546: 517: 435: 383: 214: 36: 457:
computed a value that was twice as large as the Bohr magneton in September 1911. At the
1290: 884: 617: 613: 579: 442: 410: 295: 226: 193: 81: 434:
of atomic structure, several theorists commented that the magneton should involve the
1345: 992: 781: 727: 462: 398: 891: 598: 454: 427: 423: 143: 136: 132: 106: 74: 817: 747: 1321: 855: 707: 640: 609: 605: 17: 1283: 446: 358:{\displaystyle \mu _{\mathrm {B} }={\frac {e\hbar }{2m_{\mathrm {e} }c}},} 230: 218: 1169:{\displaystyle I_{o}={\frac {Me}{m}}{\frac {h}{8\pi }}{\frac {n}{n+2}}.} 978: 643:
of the atom, for an electron that is in the orbit of lowest energy, its
287:{\displaystyle \mu _{\mathrm {B} }={\frac {e\hbar }{2m_{\mathrm {e} }}}} 1088:{\displaystyle I_{o}={\frac {m}{Me}}{\frac {h}{8\pi }}{\frac {n}{n+2}}} 969: 951: 594: 70: 825: 632:. Second, the inherent rotation, or spin, of the electron has a 1230:. Ștefan Procopiu Science and Technology Museum. Archived from 102: 49: 1209:
Bulletin de la Section Scientifique de l'Académie Roumaine
1254:
Niels Bohr's Times, in physics, philosophy, and politics
822:
The NIST Reference on Constants, Units, and Uncertainty
752:
The NIST Reference on Constants, Units, and Uncertainty
783:
Modern magnetic materials: principles and applications
29: 1101: 1023: 549: 520: 471: 304: 239: 997:
La théorie cinétique du magnétisme et les magnétons
1282: 1168: 1087: 883: 561: 535: 506: 357: 286: 582:was experimentally derived in 1911 as a unit of 1314:Mahajan, Anant S.; Rangwala, Abbas A. (1989). 1188:Annales scientifiques de l'Université de Jassy 8: 807:(value updated to correspond to CODATA 2018) 658:The spin angular momentum of an electron is 441:. By postulating that the ratio of electron 601:, which is about 20% of the Bohr magneton. 507:{\displaystyle e\hbar /(2m_{\mathrm {e} })} 945: 943: 1145: 1130: 1115: 1106: 1100: 1067: 1052: 1037: 1028: 1022: 1001:Kinetic theory of magnetism and magnetons 968: 548: 519: 494: 493: 478: 470: 422:The idea of elementary magnets is due to 339: 338: 320: 310: 309: 303: 274: 273: 255: 245: 244: 238: 213:and the natural unit for expressing the 917: 915: 739: 475: 326: 261: 1281:Alonso, Marcelo; Finn, Edward (1992). 950:Heilbron, John; Kuhn, Thomas (1969). 818:"CODATA value: Bohr magneton in eV/T" 7: 748:"2022 CODATA Value: Bohr magneton" 495: 340: 311: 275: 246: 233:, the Bohr magneton is defined as 25: 886:Principles of Quantum Mechanics 31:The value of the Bohr magneton 952:"The genesis of the Bohr atom" 501: 483: 1: 1228:"Ștefan Procopiu (1890–1972)" 647:has magnitude equal to the 1388: 1317:Electricity and Magnetism 698:Anomalous magnetic moment 703:Electron magnetic moment 679:electron magnetic moment 645:orbital angular momentum 1095:on page 404 should say 924:Out of the Crystal Maze 649:reduced Planck constant 461:in November that year, 459:First Solvay Conference 384:reduced Planck constant 27:Unit of magnetic moment 1252:Pais, Abraham (1991). 1170: 1089: 1017:Note that the formula 957:Hist. Stud. Phys. Sci. 630:Ampère's circuital law 563: 537: 508: 359: 288: 1171: 1090: 789:John Wiley & Sons 564: 538: 509: 430:. Already before the 360: 289: 229:angular momentum. In 1099: 1021: 926:. pp. 384–394. 777:O'Handley, Robert C. 677:, but the intrinsic 634:spin magnetic moment 608:as a consequence of 562:{\displaystyle n=1.} 547: 536:{\displaystyle n+1,} 518: 469: 465:obtained a value of 302: 237: 449:should be equal to 32: 1362:Physical constants 1166: 1085: 573:Romanian physicist 559: 533: 504: 355: 296:Gaussian CGS units 284: 30: 1367:Quantum magnetism 1331:978-0-07-460225-6 1300:978-0-201-56518-8 1161: 1143: 1128: 1083: 1065: 1050: 933:978-0-19-505329-6 851:Quantum Mechanics 723:Physical constant 543:and specifically 374:elementary charge 350: 282: 211:physical constant 190: 189: 16:(Redirected from 1379: 1336: 1335: 1311: 1305: 1304: 1288: 1278: 1272: 1271: 1249: 1243: 1242: 1240: 1239: 1224: 1218: 1217: 1203: 1197: 1196: 1182: 1176: 1175: 1173: 1172: 1167: 1162: 1160: 1146: 1144: 1142: 1131: 1129: 1124: 1116: 1111: 1110: 1094: 1092: 1091: 1086: 1084: 1082: 1068: 1066: 1064: 1053: 1051: 1049: 1038: 1033: 1032: 1015: 1009: 1008: 989: 983: 982: 972: 970:10.2307/27757291 947: 938: 937: 919: 910: 909: 889: 876: 870: 869: 854:(3rd ed.). 842: 836: 835: 833: 832: 814: 808: 806: 786: 773: 767: 766: 764: 763: 744: 713:Nuclear magneton 673: 671: 670: 667: 664: 593: 591: 568: 566: 565: 560: 542: 540: 539: 534: 513: 511: 510: 505: 500: 499: 498: 482: 432:Rutherford model 408: 396: 381: 371: 364: 362: 361: 356: 351: 349: 345: 344: 343: 329: 321: 316: 315: 314: 293: 291: 290: 285: 283: 281: 280: 279: 278: 264: 256: 251: 250: 249: 208: 186: 184: 183: 175: 172: 162: 160: 159: 156: 153: 129: 127: 123: 120: 99: 97: 93: 90: 67: 65: 61: 58: 33: 21: 1387: 1386: 1382: 1381: 1380: 1378: 1377: 1376: 1372:Magnetic moment 1342: 1341: 1340: 1339: 1332: 1324:. p. 419. 1313: 1312: 1308: 1301: 1280: 1279: 1275: 1268: 1258:Clarendon Press 1251: 1250: 1246: 1237: 1235: 1226: 1225: 1221: 1205: 1204: 1200: 1184: 1183: 1179: 1150: 1135: 1117: 1102: 1097: 1096: 1072: 1057: 1042: 1024: 1019: 1018: 1016: 1012: 991: 990: 986: 949: 948: 941: 934: 921: 920: 913: 906: 878: 877: 873: 866: 858:. p. 440. 844: 843: 839: 830: 828: 816: 815: 811: 803: 775: 774: 770: 761: 759: 746: 745: 741: 736: 718:Parson magneton 694: 668: 665: 662: 661: 659: 626: 589: 587: 584:magnetic moment 576:Ștefan Procopiu 545: 544: 516: 515: 489: 467: 466: 436:Planck constant 420: 404: 395: 389: 379: 369: 334: 330: 322: 305: 300: 299: 269: 265: 257: 240: 235: 234: 215:magnetic moment 207: 201: 182: 176: 173: 168: 167: 165: 157: 154: 151: 150: 148: 125: 121: 118: 116: 95: 91: 88: 86: 63: 59: 56: 54: 37:System of units 28: 23: 22: 15: 12: 11: 5: 1385: 1383: 1375: 1374: 1369: 1364: 1359: 1354: 1352:Atomic physics 1344: 1343: 1338: 1337: 1330: 1306: 1299: 1291:Addison-Wesley 1273: 1266: 1244: 1219: 1198: 1177: 1165: 1159: 1156: 1153: 1149: 1141: 1138: 1134: 1127: 1123: 1120: 1114: 1109: 1105: 1081: 1078: 1075: 1071: 1063: 1060: 1056: 1048: 1045: 1041: 1036: 1031: 1027: 1010: 1007:. p. 404. 993:Langevin, Paul 984: 939: 932: 911: 904: 871: 864: 837: 809: 801: 768: 738: 737: 735: 732: 731: 730: 725: 720: 715: 710: 705: 700: 693: 690: 625: 622: 618:Weiss magneton 614:Wolfgang Pauli 610:his atom model 580:Weiss magneton 558: 555: 552: 532: 529: 526: 523: 503: 497: 492: 488: 485: 481: 477: 474: 443:kinetic energy 419: 416: 415: 414: 411:speed of light 402: 393: 387: 377: 354: 348: 342: 337: 333: 328: 325: 319: 313: 308: 277: 272: 268: 263: 260: 254: 248: 243: 221:caused by its 205: 194:atomic physics 188: 187: 180: 163: 146: 140: 139: 130: 114: 110: 109: 100: 84: 78: 77: 68: 52: 46: 45: 42: 39: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1384: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1349: 1347: 1333: 1327: 1323: 1319: 1318: 1310: 1307: 1302: 1296: 1292: 1287: 1286: 1277: 1274: 1269: 1267:0-19-852048-4 1263: 1259: 1255: 1248: 1245: 1234:on 2010-11-18 1233: 1229: 1223: 1220: 1215: 1211: 1210: 1202: 1199: 1194: 1190: 1189: 1181: 1178: 1163: 1157: 1154: 1151: 1147: 1139: 1136: 1132: 1125: 1121: 1118: 1112: 1107: 1103: 1079: 1076: 1073: 1069: 1061: 1058: 1054: 1046: 1043: 1039: 1034: 1029: 1025: 1014: 1011: 1006: 1002: 998: 994: 988: 985: 980: 976: 971: 966: 962: 959: 958: 953: 946: 944: 940: 935: 929: 925: 918: 916: 912: 907: 901: 897: 893: 888: 887: 881: 875: 872: 867: 865:9780070856431 861: 857: 853: 852: 847: 846:Schiff, L. I. 841: 838: 827: 823: 819: 813: 810: 804: 802:0-471-15566-7 798: 794: 790: 785: 784: 778: 772: 769: 757: 753: 749: 743: 740: 733: 729: 728:Zeeman effect 726: 724: 721: 719: 716: 714: 711: 709: 706: 704: 701: 699: 696: 695: 691: 689: 687: 685: 680: 676: 656: 654: 650: 646: 642: 637: 635: 631: 623: 621: 619: 615: 612:. In 1920, 611: 607: 602: 600: 596: 585: 581: 577: 574: 569: 556: 553: 550: 530: 527: 524: 521: 490: 486: 479: 472: 464: 463:Paul Langevin 460: 456: 452: 448: 444: 440: 437: 433: 429: 425: 417: 412: 407: 403: 400: 399:electron mass 392: 388: 385: 378: 375: 368: 367: 366: 352: 346: 335: 331: 323: 317: 306: 297: 270: 266: 258: 252: 241: 232: 228: 224: 220: 216: 212: 204: 199: 198:Bohr magneton 195: 179: 171: 164: 147: 145: 142: 141: 138: 134: 131: 115: 112: 111: 108: 104: 101: 85: 83: 80: 79: 76: 72: 69: 53: 51: 48: 47: 43: 40: 38: 35: 34: 19: 18:Bohr Magneton 1316: 1309: 1284: 1276: 1253: 1247: 1236:. Retrieved 1232:the original 1222: 1213: 1207: 1201: 1192: 1186: 1180: 1013: 1000: 996: 987: 960: 955: 923: 892:Plenum Press 885: 874: 850: 840: 829:. Retrieved 821: 812: 782: 771: 760:. Retrieved 751: 742: 683: 674: 657: 652: 638: 627: 603: 570: 455:Richard Gans 450: 438: 428:Pierre Weiss 424:Walther Ritz 421: 405: 390: 202: 197: 191: 177: 169: 144:atomic units 1322:McGraw-Hill 894:. pp.  880:Shankar, R. 856:McGraw-Hill 708:Bohr radius 445:to orbital 426:(1907) and 294:and in the 1357:Niels Bohr 1346:Categories 1238:2010-11-03 963:: vi–290. 905:0306403978 831:2022-08-28 791:. p.  762:2024-05-18 758:. May 2024 734:References 651:, denoted 641:Bohr model 606:Niels Bohr 1140:π 1062:π 586:equal to 476:ℏ 447:frequency 327:ℏ 307:μ 262:ℏ 242:μ 995:(1911). 979:27757291 882:(1980). 848:(1968). 779:(2000). 692:See also 231:SI units 219:electron 200:(symbol 82:Gaussian 1285:Physics 1003:]. 896:398–400 686:-factor 672:⁠ 660:⁠ 639:In the 418:History 409:is the 397:is the 382:is the 372:is the 223:orbital 209:) is a 185:⁠ 166:⁠ 161:⁠ 149:⁠ 1328:  1297:  1264:  1216:: 151. 1195:: 280. 977:  930:  902:  862:  799:  624:Theory 595:joules 365:where 217:of an 196:, the 999:[ 975:JSTOR 599:tesla 117:5.788 113:eV/T 87:9.274 55:9.274 44:Unit 41:Value 1326:ISBN 1295:ISBN 1262:ISBN 928:ISBN 900:ISBN 860:ISBN 826:NIST 797:ISBN 756:NIST 597:per 588:1.53 571:The 227:spin 124:(17) 122:8060 94:(28) 92:0783 62:(29) 60:0657 965:doi 298:as 225:or 192:In 119:381 103:erg 89:010 57:010 1348:: 1320:. 1293:. 1289:. 1260:. 1256:. 1212:. 1191:. 973:. 954:. 942:^ 914:^ 898:. 890:. 824:. 820:. 795:. 793:83 787:. 754:. 750:. 636:. 620:. 592:10 557:1. 453:, 170:eħ 133:eV 128:10 98:10 66:10 50:SI 1334:. 1303:. 1270:. 1241:. 1214:1 1193:7 1164:. 1158:2 1155:+ 1152:n 1148:n 1137:8 1133:h 1126:m 1122:e 1119:M 1113:= 1108:o 1104:I 1080:2 1077:+ 1074:n 1070:n 1059:8 1055:h 1047:e 1044:M 1040:m 1035:= 1030:o 1026:I 981:. 967:: 961:1 936:. 908:. 868:. 834:. 805:. 765:. 684:g 675:ħ 669:2 666:/ 663:1 653:ħ 590:× 554:= 551:n 531:, 528:1 525:+ 522:n 502:) 496:e 491:m 487:2 484:( 480:/ 473:e 451:h 439:h 413:. 406:c 401:, 394:e 391:m 386:, 380:ħ 376:, 370:e 353:, 347:c 341:e 336:m 332:2 324:e 318:= 312:B 276:e 271:m 267:2 259:e 253:= 247:B 206:B 203:μ 181:e 178:m 174:/ 158:2 155:/ 152:1 137:T 135:· 126:× 107:G 105:· 96:× 75:T 73:· 71:J 64:× 20:)

Index

Bohr Magneton
System of units
SI
J
T
Gaussian
erg
G
eV
T
atomic units
atomic physics
physical constant
magnetic moment
electron
orbital
spin
SI units
Gaussian CGS units
elementary charge
reduced Planck constant
electron mass
speed of light
Walther Ritz
Pierre Weiss
Rutherford model
Planck constant
kinetic energy
frequency
Richard Gans

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.