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Birks' law

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Birks speculated that the loss of linearity is due to recombination and quenching effects between the excited molecules and the surrounding substrate. Birks' law has mostly been tested for
214:. A more complete theory of scintillation saturation, that gives Birks' law when only unimolecular de-excitation is included, can be found in a paper by Blanc, Cambou, and De Laford. 33:(named after British physicist John B. Birks) is an empirical formula for the light yield per path length as a function of the energy loss per path length for a particle traversing a 173:
is a constant of proportionality linking the local density of ionized molecules at a point along the particle's path to the specific energy loss; "Since
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Leverington, B.L.; Anelli; Campana; Rosellini (1970). "A 1 mm Scintillating Fibre Tracker Readout by a Multi-anode Photomultiplier".
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Birks, J.B. (1951). "Scintillations from Organic Crystals: Specific Fluorescence and Relative Response to Different Radiations".
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Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
185:, called Birks' coefficient, which has units of distance per energy. Its value depends on the scintillating material." 664: 628: 654: 401:
Torrisi, L. (October 2000). "Plastic scintillator investigations for relative dosimetry in proton-therapy".
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Tretyak, V.I. (2010). "Semi-empirical calculation of quenching factors for ions in scintillators".
489: 463: 381: 362: 336: 509:"Birks' scaling of the particle light output functions for the EJ 299-33 plastic scintillator" 206:. Its applicability to inorganic scintillators is debated. A good discussion can be found in 601: 528: 481: 418: 354: 263: 196: 574: 524: 485: 477: 414: 350: 249: 605: 422: 267: 648: 493: 366: 593: 327:
Pöschl, T. (2021). "Measurement of ionization quenching in plastic scintillators".
34: 143:{\displaystyle {\frac {dL}{dx}}=S{\frac {\frac {dE}{dx}}{1+kB{\frac {dE}{dx}}}}.} 192: 533: 508: 358: 17: 212:
Semi-empirical calculation of quenching factors for ions in scintillators
210:. A compilation of Birks' constant for various materials can be found in 341: 386: 468: 297:"A Tribute to Professor John B Birks - LSC International Home" 37:, and gives a relation that is not linear at high loss rates. 513:
Nuclear Instruments and Methods in Physics Research Section A
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Nuclear Instruments and Methods in Physics Research Section B
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is the specific energy loss of the particle per path length,
438:"Particle Detectors at Accelerators: Organic scintillators" 208:
Particle Detectors at Accelerators: Organic scintillators
609: 195:-based scintillators and 1.26–2.07 × 10 g MeV cm for 181:
appear only as a product, they act as one parameter,
54: 142: 283:The Theory and Practice of Scintillation Counting 548:Blanc, D.; Cambou, F.; De Lafond, Y.G. (1962). 629: 8: 231: 229: 227: 636: 622: 532: 467: 385: 340: 257: 114: 81: 55: 53: 223: 27:Formula for light yield per path length 570: 559: 169:is the probability of quenching, and 7: 590: 588: 486:10.1016/j.astropartphys.2009.11.002 25: 161:is the scintillation efficiency, 592: 1: 423:10.1016/S0168-583X(00)00237-8 608:. You can help Knowledge by 268:10.1088/0370-1298/64/10/303 686: 587: 534:10.1016/j.nima.2014.09.056 359:10.1016/j.nima.2020.164865 660:Eponymous laws of physics 191:is 0.126 mm/MeV for 670:Particle physics stubs 604:–related article is a 550:C. R. Acad. Sci. Paris 199:-based scintillators. 144: 456:Astroparticle Physics 204:organic scintillators 145: 507:Nyibule, S. (2014). 281:Birks, J.B. (1964). 157:is the light yield, 52: 525:2014NIMPA.768..141N 478:2010APh....33...40T 415:2000NIMPB.170..523T 351:2021NIMPA.98864865P 285:. London: Pergamon. 250:1951PPSA...64..874B 665:Particle detectors 140: 617: 616: 569:Missing or empty 436:Johnson, Kurtis. 135: 132: 100: 73: 45:The relation is: 16:(Redirected from 677: 638: 631: 624: 602:particle physics 596: 589: 579: 578: 572: 567: 565: 557: 545: 539: 538: 536: 504: 498: 497: 471: 451: 445: 444: 442: 433: 427: 426: 409:(3–4): 523–530. 398: 392: 391: 389: 377: 371: 370: 344: 324: 318: 317: 315: 314: 308: 302:. Archived from 301: 293: 287: 286: 278: 272: 271: 261: 233: 197:polyvinyltoluene 149: 147: 146: 141: 136: 134: 133: 131: 123: 115: 99: 91: 83: 82: 74: 72: 64: 56: 21: 685: 684: 680: 679: 678: 676: 675: 674: 645: 644: 643: 642: 585: 583: 582: 568: 558: 547: 546: 542: 506: 505: 501: 453: 452: 448: 440: 435: 434: 430: 400: 399: 395: 379: 378: 374: 326: 325: 321: 312: 310: 306: 299: 295: 294: 290: 280: 279: 275: 259:10.1.1.205.7427 244:(10): 874–877. 238:Proc. Phys. Soc 235: 234: 225: 220: 124: 116: 101: 92: 84: 65: 57: 50: 49: 43: 28: 23: 22: 18:Birks' Law 15: 12: 11: 5: 683: 681: 673: 672: 667: 662: 657: 655:Empirical laws 647: 646: 641: 640: 633: 626: 618: 615: 614: 597: 581: 580: 540: 499: 446: 428: 393: 372: 319: 288: 273: 222: 221: 219: 216: 151: 150: 139: 130: 127: 122: 119: 113: 110: 107: 104: 98: 95: 90: 87: 80: 77: 71: 68: 63: 60: 42: 39: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 682: 671: 668: 666: 663: 661: 658: 656: 653: 652: 650: 639: 634: 632: 627: 625: 620: 619: 613: 611: 607: 603: 598: 595: 591: 586: 576: 563: 555: 551: 544: 541: 535: 530: 526: 522: 518: 514: 510: 503: 500: 495: 491: 487: 483: 479: 475: 470: 465: 461: 457: 450: 447: 439: 432: 429: 424: 420: 416: 412: 408: 404: 397: 394: 388: 383: 376: 373: 368: 364: 360: 356: 352: 348: 343: 338: 334: 330: 323: 320: 309:on 2017-01-07 305: 298: 292: 289: 284: 277: 274: 269: 265: 260: 255: 251: 247: 243: 239: 232: 230: 228: 224: 217: 215: 213: 209: 205: 200: 198: 194: 190: 186: 184: 180: 176: 172: 168: 164: 160: 156: 137: 128: 125: 120: 117: 111: 108: 105: 102: 96: 93: 88: 85: 78: 75: 69: 66: 61: 58: 48: 47: 46: 40: 38: 36: 32: 19: 610:expanding it 599: 584: 571:|title= 562:cite journal 553: 549: 543: 516: 512: 502: 462:(1): 40–53. 459: 455: 449: 431: 406: 402: 396: 375: 342:2007.08366v2 332: 328: 322: 311:. Retrieved 304:the original 291: 282: 276: 241: 237: 211: 207: 201: 188: 187: 182: 178: 174: 170: 166: 162: 158: 154: 152: 44: 35:scintillator 30: 29: 519:: 141–145. 387:1106.5649v2 193:polystyrene 649:Categories 335:: 164865. 313:2017-01-06 218:References 31:Birks' law 494:119191915 469:0911.3041 367:220546453 254:CiteSeerX 41:Overview 556:: 3187. 521:Bibcode 474:Bibcode 411:Bibcode 347:Bibcode 246:Bibcode 492:  365:  256:  153:where 600:This 490:S2CID 464:arXiv 441:(PDF) 382:arXiv 363:S2CID 337:arXiv 307:(PDF) 300:(PDF) 163:dE/dx 606:stub 575:help 177:and 554:254 529:doi 517:768 482:doi 419:doi 407:170 355:doi 333:988 264:doi 242:A64 651:: 566:: 564:}} 560:{{ 552:. 527:. 515:. 511:. 488:. 480:. 472:. 460:33 458:. 417:. 405:. 361:. 353:. 345:. 331:. 262:. 252:. 240:. 226:^ 189:kB 183:kB 637:e 630:t 623:v 612:. 577:) 573:( 537:. 531:: 523:: 496:. 484:: 476:: 466:: 443:. 425:. 421:: 413:: 390:. 384:: 369:. 357:: 349:: 339:: 316:. 270:. 266:: 248:: 179:B 175:k 171:B 167:k 159:S 155:L 138:. 129:x 126:d 121:E 118:d 112:B 109:k 106:+ 103:1 97:x 94:d 89:E 86:d 79:S 76:= 70:x 67:d 62:L 59:d 20:)

Index

Birks' Law
scintillator
polystyrene
polyvinyltoluene
organic scintillators



Bibcode
1951PPSA...64..874B
CiteSeerX
10.1.1.205.7427
doi
10.1088/0370-1298/64/10/303
"A Tribute to Professor John B Birks - LSC International Home"
the original
arXiv
2007.08366v2
Bibcode
2021NIMPA.98864865P
doi
10.1016/j.nima.2020.164865
S2CID
220546453
arXiv
1106.5649v2
Bibcode
2000NIMPB.170..523T
doi
10.1016/S0168-583X(00)00237-8

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