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Bragg–Gray cavity theory

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is small with respect to the range of charged particles striking the cavity so that the cavity does not perturb the charged particle field. That is, the cavity does not change the number, energy, or direction of the charged particles that would exist in
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is assumed to be a gas, however Bragg–Gray cavity theory applies to any cavity volume (gas, liquid, or solid) that meets the following Bragg-Gray conditions.
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Khan, F. M. (2003). The physics of radiation therapy (3rd ed.). Lippincott Williams & Wilkins: Philadelphia.
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Attix, F.H. (1986). Introduction to Radiological Physics and Radiation Dosimetry, Wiley-Interscience: New York.
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is the ratio of the mass-electronic stopping powers (also known as mass-collision stopping powers) of
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in the absence of the cavity volume. It was developed in 1936 by British scientists
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averaged over the charged particle fluence crossing the cavity.
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relates the radiation dose in a cavity volume of material
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is deposited entirely by charged particles crossing it.
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is the mean energy required to produce an ion pair in
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to the dose that would exist in a surrounding medium
36: 838: 766: 746: 681: 648: 636:is the ionization per unit volume produced in the 628: 602: 507: 483: 463: 443: 373: 353: 320: 300: 264: 165: 142: 121: 97: 62: 42: 726: 709: 582: 565: 418: 401: 239: 222: 982: 774:divided by the charge of an electron (SI units 495:In an ionization chamber, the dose to material 177:When the Bragg-Gray conditions are met, then 965: 153:The absorbed dose in the cavity containing 972: 958: 905: 861: 109:The dimensions of the cavity containing 887: 14: 983: 888:Ma, Chang-ming; Nahum, A. E. (1991). 924: 820: 361:is the dose to the cavity material 24: 850:Proceedings of the Royal Society A 25: 1007: 894:Physics in Medicine & Biology 928: 689:is the mass of the gas (SI unit 732: 588: 424: 245: 13: 1: 150:in the absence of the cavity. 944:. You can help Knowledge by 7: 786: 10: 1012: 923: 907:10.1088/0031-9155/36/4/001 803: 996:Theoretical physics stubs 308:is the dose to material 28:Bragg–Gray cavity theory 18:Bragg-Gray cavity theory 839:{\displaystyle \gamma } 824:, Louis Harold (1936). 863:10.1098/rspa.1936.0169 840: 768: 748: 683: 650: 630: 604: 509: 485: 465: 445: 375: 355: 322: 302: 266: 167: 144: 123: 99: 80:William Lawrence Bragg 64: 44: 841: 769: 749: 684: 682:{\displaystyle m_{g}} 651: 631: 605: 515:(typically a gas) is 510: 486: 466: 446: 376: 356: 354:{\displaystyle D_{g}} 323: 303: 301:{\displaystyle D_{m}} 267: 168: 145: 124: 100: 85:Most often, material 65: 45: 830: 758: 699: 666: 640: 620: 522: 499: 475: 455: 391: 365: 338: 312: 285: 186: 157: 134: 113: 89: 54: 34: 938:theoretical physics 936:This article about 440: 261: 76:William Henry Bragg 836: 798:Ionization chamber 793:Ionizing radiation 764: 744: 679: 646: 626: 600: 505: 481: 461: 441: 394: 371: 351: 318: 298: 262: 215: 163: 140: 119: 95: 60: 40: 953: 952: 815:978-0-7817-3065-5 767:{\displaystyle g} 735: 722: 649:{\displaystyle g} 629:{\displaystyle Q} 591: 578: 553: 508:{\displaystyle g} 484:{\displaystyle g} 464:{\displaystyle m} 427: 414: 374:{\displaystyle g} 321:{\displaystyle m} 248: 235: 166:{\displaystyle g} 143:{\displaystyle m} 122:{\displaystyle g} 98:{\displaystyle g} 72:Louis Harold Gray 63:{\displaystyle m} 43:{\displaystyle g} 16:(Redirected from 1003: 991:Physics theorems 974: 967: 960: 932: 925: 917: 915: 914: 909: 873: 871: 870: 865: 845: 843: 842: 837: 773: 771: 770: 765: 753: 751: 750: 745: 743: 742: 737: 736: 731: 730: 729: 723: 715: 713: 712: 705: 688: 686: 685: 680: 678: 677: 655: 653: 652: 647: 635: 633: 632: 627: 609: 607: 606: 601: 599: 598: 593: 592: 587: 586: 585: 579: 571: 569: 568: 561: 554: 552: 551: 539: 534: 533: 514: 512: 511: 506: 490: 488: 487: 482: 470: 468: 467: 462: 450: 448: 447: 442: 439: 434: 429: 428: 423: 422: 421: 415: 407: 405: 404: 397: 380: 378: 377: 372: 360: 358: 357: 352: 350: 349: 327: 325: 324: 319: 307: 305: 304: 299: 297: 296: 271: 269: 268: 263: 260: 255: 250: 249: 244: 243: 242: 236: 228: 226: 225: 218: 211: 210: 198: 197: 172: 170: 169: 164: 149: 147: 146: 141: 128: 126: 125: 120: 104: 102: 101: 96: 69: 67: 66: 61: 49: 47: 46: 41: 21: 1011: 1010: 1006: 1005: 1004: 1002: 1001: 1000: 981: 980: 979: 978: 921: 912: 910: 868: 866: 831: 828: 827: 806: 789: 759: 756: 755: 738: 725: 724: 714: 708: 707: 706: 704: 703: 702: 700: 697: 696: 673: 669: 667: 664: 663: 641: 638: 637: 621: 618: 617: 594: 581: 580: 570: 564: 563: 562: 560: 559: 558: 547: 543: 538: 529: 525: 523: 520: 519: 500: 497: 496: 476: 473: 472: 456: 453: 452: 435: 430: 417: 416: 406: 400: 399: 398: 396: 395: 392: 389: 388: 366: 363: 362: 345: 341: 339: 336: 335: 313: 310: 309: 292: 288: 286: 283: 282: 256: 251: 238: 237: 227: 221: 220: 219: 217: 216: 206: 202: 193: 189: 187: 184: 183: 158: 155: 154: 135: 132: 131: 114: 111: 110: 90: 87: 86: 55: 52: 51: 35: 32: 31: 23: 22: 15: 12: 11: 5: 1009: 999: 998: 993: 977: 976: 969: 962: 954: 951: 950: 933: 919: 918: 885: 874: 835: 818: 805: 802: 801: 800: 795: 788: 785: 784: 783: 763: 741: 734: 728: 721: 718: 711: 694: 676: 672: 661: 645: 625: 611: 610: 597: 590: 584: 577: 574: 567: 557: 550: 546: 542: 537: 532: 528: 504: 493: 492: 480: 460: 438: 433: 426: 420: 413: 410: 403: 386: 370: 348: 344: 333: 317: 295: 291: 276: 275: 274: 273: 259: 254: 247: 241: 234: 231: 224: 214: 209: 205: 201: 196: 192: 175: 174: 162: 151: 139: 118: 94: 59: 39: 9: 6: 4: 3: 2: 1008: 997: 994: 992: 989: 988: 986: 975: 970: 968: 963: 961: 956: 955: 949: 947: 943: 939: 934: 931: 927: 926: 922: 908: 903: 900:(4): 13–428. 899: 895: 891: 886: 883: 882:0-471-01146-0 879: 875: 864: 859: 855: 851: 847: 833: 823: 819: 816: 812: 808: 807: 799: 796: 794: 791: 790: 781: 777: 761: 739: 719: 716: 695: 692: 674: 670: 662: 659: 643: 623: 616: 615: 614: 595: 575: 572: 555: 548: 544: 540: 535: 530: 526: 518: 517: 516: 502: 478: 458: 436: 431: 411: 408: 387: 384: 368: 346: 342: 334: 331: 315: 293: 289: 281: 280: 279: 257: 252: 232: 229: 212: 207: 203: 199: 194: 190: 182: 181: 180: 179: 178: 160: 152: 137: 116: 108: 107: 106: 92: 83: 81: 77: 73: 57: 37: 29: 19: 946:expanding it 935: 920: 911:. Retrieved 897: 893: 867:. Retrieved 853: 849: 846:-ray energy" 612: 494: 277: 176: 84: 27: 26: 856:: 578–596. 985:Categories 913:2023-02-20 869:2023-02-20 834:γ 733:¯ 656:(SI unit 589:¯ 556:⋅ 425:¯ 412:ρ 381:(SI unit 328:(SI unit 246:¯ 233:ρ 213:⋅ 787:See also 804:Sources 780:Coulomb 658:Coulomb 880:  813:  776:Joules 613:where 278:where 78:, and 940:is a 942:stub 878:ISBN 822:Gray 811:ISBN 471:and 383:Gray 330:Gray 902:doi 858:doi 854:156 987:: 898:36 896:. 892:. 852:. 848:. 691:kg 82:. 74:, 973:e 966:t 959:v 948:. 916:. 904:: 884:. 872:. 860:: 817:. 782:) 778:/ 762:g 740:g 727:) 720:e 717:W 710:( 693:) 675:g 671:m 660:) 644:g 624:Q 596:g 583:) 576:e 573:W 566:( 549:g 545:m 541:Q 536:= 531:g 527:D 503:g 479:g 459:m 437:m 432:g 419:) 409:S 402:( 385:) 369:g 347:g 343:D 332:) 316:m 294:m 290:D 272:, 258:m 253:g 240:) 230:S 223:( 208:g 204:D 200:= 195:m 191:D 161:g 138:m 117:g 93:g 58:m 38:g 20:)

Index

Bragg-Gray cavity theory
Louis Harold Gray
William Henry Bragg
William Lawrence Bragg
Gray
Gray
Coulomb
kg
Joules
Coulomb
Ionizing radiation
Ionization chamber
ISBN
978-0-7817-3065-5
Gray
"An ionization method for the absolute measurement of γ {\displaystyle \gamma } -ray energy"
doi
10.1098/rspa.1936.0169
ISBN
0-471-01146-0
"Bragg-Gray theory and ion chamber dosimetry for photon beams"
doi
10.1088/0031-9155/36/4/001
Stub icon
theoretical physics
stub
expanding it
v
t
e

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