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Molar absorption coefficient

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1489: 1501: 544: 336: 658: 320:(the values of the molar absorption coefficient for each species at these wavelengths must also be known). The wavelengths chosen are usually the wavelengths of maximum absorption (absorbance maxima) for the individual species. None of the wavelengths may be an 304: 539:{\displaystyle {\begin{cases}A(\lambda _{1})=\ell \sum _{i=1}^{N}\varepsilon _{i}(\lambda _{1})c_{i},\\\ldots \\A(\lambda _{N})=\ell \sum _{i=1}^{N}\varepsilon _{i}(\lambda _{N})c_{i}.\\\end{cases}}} 569: 1320: 136: 993: 834: 805: 82: 1211: 1144: 1089: 1058: 1053: 205: 1426: 1244: 1106: 1375: 1194: 1038: 1315: 1117: 1018: 1261: 1239: 986: 1327: 1249: 1079: 1184: 1129: 97:
of a material that has only one absorbing species also depends on the pathlength and the concentration of the species, according to the
73:). In older literature, the cm/mol is sometimes used; 1 Mâ‹…cm equals 1000 cm/mol. The molar absorption coefficient is also known as the 1411: 1163: 979: 907: 1532: 1416: 1234: 188:(ln). The molar absorption coefficient is usually decadic. When ambiguity exists, it is important to indicate which one applies. 1431: 1401: 1332: 1266: 1360: 1151: 1048: 1527: 1158: 1063: 52: 653:{\displaystyle \sigma =\ln(10){\frac {10^{3}}{N_{\text{A}}}}\varepsilon \approx 3.82353216\times 10^{-21}\,\varepsilon .} 1292: 1139: 1028: 1448: 923:
Gill, S. C.; von Hippel, P. H. (1989). "Calculation of protein extinction coefficients from amino acid sequence data".
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If the molar absorption coefficient is known, it can be used to determine the concentration of a protein in solution.
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absorbing species in a solution, the overall absorbance is the sum of the absorbances for each individual species
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is decadic (10-based) or Napierian (e-based), i.e., defined with respect to the transmission via
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The molar absorption coefficient (in units of Mcm) is directly related to the
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Measure of how strongly a chemical species absorbs a given wavelength of light
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depends almost exclusively on the number of aromatic residues, particularly
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can be solved to find the concentrations of each absorbing species:
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Different disciplines have different conventions as to whether
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absorbing species can be found by measuring the absorbance at
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is equal to the molar absorption coefficient divided by the
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of molar absorption coefficient is the square metre per
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Nikon MicroscopyU: Introduction to Fluorescent Proteins
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includes a table of molar attenuation coefficient of
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Compendium on Analytical Nomenclature (Orange Book)
652: 538: 298: 130: 754:. Similarly, the molar absorption coefficient of 902:(3rd ed.). New York: Springer. p. 59. 762:can be predicted given the nucleotide sequence. 326:for a pair of species. The set of the following 987: 8: 1059:Vibrational spectroscopy of linear molecules 780: 778: 750:, and can be predicted from the sequence of 1350: 1054:Nuclear resonance vibrational spectroscopy 994: 980: 972: 1427:Inelastic electron tunneling spectroscopy 1107:Resonance-enhanced multiphoton ionization 643: 634: 610: 600: 594: 571: 520: 507: 494: 484: 473: 454: 424: 411: 398: 388: 377: 358: 340: 338: 287: 277: 267: 256: 240: 230: 219: 207: 108: 1195:Extended X-ray absorption fine structure 738:, the molar absorption coefficient of a 900:Principles of Fluorescence Spectroscopy 774: 885:Compendium on Analytical Nomenclature 872:Compendium on Analytical Nomenclature 725:= Molar mass of the absorbing species 131:{\displaystyle A=\varepsilon c\ell ,} 35:) is a measurement of how strongly a 7: 1500: 840:Compendium of Chemical Terminology 811:Compendium of Chemical Terminology 14: 1412:Deep-level transient spectroscopy 1164:Saturated absorption spectroscopy 1499: 1488: 1487: 1417:Dual-polarization interferometry 309:The composition of a mixture of 1432:Scanning tunneling spectroscopy 1407:Circular dichroism spectroscopy 1402:Acoustic resonance spectroscopy 1361:Fourier-transform spectroscopy 1049:Vibrational circular dichroism 719:= Molar absorption coefficient 591: 585: 513: 500: 460: 447: 417: 404: 364: 351: 1: 1159:Cavity ring-down spectroscopy 1064:Thermal infrared spectroscopy 713:= Mass absorption coefficient 65: 29:molar attenuation coefficient 1293:Inelastic neutron scattering 937:10.1016/0003-2697(89)90602-7 150:molar absorption coefficient 75:molar extinction coefficient 25:molar absorption coefficient 1354:Data collection, processing 1230:Photoelectron/photoemission 670:mass absorption coefficient 664:Mass absorption coefficient 1554: 1439:Photoacoustic spectroscopy 1381:Time-resolved spectroscopy 795:. IUPAC. 2002. p. 28. 676:of the absorbing species. 1483: 1465:Astronomical spectroscopy 1444:Photothermal spectroscopy 553:(in units of cm) via the 551:attenuation cross section 898:Lakowicz, J. R. (2006). 865:"Molecular Spectroscopy" 1533:Absorption spectroscopy 1449:Pump–probe spectroscopy 1338:Ferromagnetic resonance 1130:Laser-induced breakdown 925:Analytical Biochemistry 853:10.1351/goldbook.A00044 824:10.1351/goldbook.E02293 1145:Glow-discharge optical 1125:Raman optical activity 1039:Rotational–vibrational 878:"Measuring techniques" 654: 540: 489: 393: 328:simultaneous equations 300: 272: 235: 132: 1366:Hyperspectral imaging 655: 541: 469: 373: 301: 252: 215: 133: 39:absorbs, and thereby 1528:Analytical chemistry 1118:Coherent anti-Stokes 1073:UV–Vis–NIR "Optical" 966:fluorescent proteins 570: 337: 206: 107: 51:of the species. The 1422:Hadron spectroscopy 1212:Conversion electron 1173:X-ray and Gamma ray 1080:Ultraviolet–visible 168:is the path length. 160:molar concentration 43:, light at a given 1470:Force spectroscopy 1395:Measured phenomena 1386:Video spectroscopy 1090:Cold vapour atomic 650: 536: 531: 296: 128: 79:molar absorptivity 49:intrinsic property 1515: 1514: 1479: 1478: 1371:Spectrophotometry 1298:Neutron spin echo 1272:Beta spectroscopy 1185:Energy-dispersive 616: 613: 555:Avogadro constant 186:natural logarithm 162:of those species; 152:of that material; 1545: 1538:Molar quantities 1503: 1502: 1491: 1490: 1351: 1262:phenomenological 1011:Vibrational (IR) 996: 989: 982: 973: 949: 948: 920: 914: 913: 895: 889: 888: 882: 875: 869: 861: 855: 832: 826: 803: 797: 796: 790: 782: 761: 745: 724: 718: 712: 699: 698: 697: 692: 691: 685: 659: 657: 656: 651: 642: 641: 617: 615: 614: 611: 605: 604: 595: 545: 543: 542: 537: 535: 534: 525: 524: 512: 511: 499: 498: 488: 483: 459: 458: 429: 428: 416: 415: 403: 402: 392: 387: 363: 362: 323:isosbestic point 305: 303: 302: 297: 292: 291: 282: 281: 271: 266: 245: 244: 234: 229: 178:common logarithm 167: 157: 147: 137: 135: 134: 129: 99:Beer–Lambert law 89:Beer–Lambert law 72: 67: 62: 37:chemical species 34: 1553: 1552: 1548: 1547: 1546: 1544: 1543: 1542: 1518: 1517: 1516: 1511: 1475: 1453: 1390: 1342: 1304: 1276: 1218: 1168: 1068: 1029:Resonance Raman 1005: 1000: 958: 953: 952: 922: 921: 917: 910: 897: 896: 892: 880: 876: 867: 863: 862: 858: 833: 829: 804: 800: 788: 784: 783: 776: 771: 759: 743: 732: 722: 716: 711: 707: 695: 694: 689: 688: 687: 684: 680: 666: 630: 606: 596: 568: 567: 562: 530: 529: 516: 503: 490: 450: 441: 440: 434: 433: 420: 407: 394: 354: 341: 335: 334: 283: 273: 236: 204: 203: 191:When there are 183: 165: 155: 145: 105: 104: 91: 70: 60: 32: 17: 12: 11: 5: 1551: 1549: 1541: 1540: 1535: 1530: 1520: 1519: 1513: 1512: 1510: 1509: 1497: 1484: 1481: 1480: 1477: 1476: 1474: 1473: 1467: 1461: 1459: 1455: 1454: 1452: 1451: 1446: 1441: 1436: 1435: 1434: 1424: 1419: 1414: 1409: 1404: 1398: 1396: 1392: 1391: 1389: 1388: 1383: 1378: 1373: 1368: 1363: 1357: 1355: 1348: 1344: 1343: 1341: 1340: 1335: 1330: 1325: 1324: 1323: 1312: 1310: 1306: 1305: 1303: 1302: 1301: 1300: 1290: 1284: 1282: 1278: 1277: 1275: 1274: 1269: 1264: 1259: 1254: 1253: 1252: 1247: 1245:Angle-resolved 1242: 1237: 1226: 1224: 1220: 1219: 1217: 1216: 1215: 1214: 1204: 1199: 1198: 1197: 1192: 1187: 1176: 1174: 1170: 1169: 1167: 1166: 1161: 1156: 1155: 1154: 1149: 1148: 1147: 1132: 1127: 1122: 1121: 1120: 1110: 1104: 1099: 1094: 1093: 1092: 1082: 1076: 1074: 1070: 1069: 1067: 1066: 1061: 1056: 1051: 1046: 1041: 1036: 1031: 1026: 1021: 1015: 1013: 1007: 1006: 1001: 999: 998: 991: 984: 976: 970: 969: 957: 956:External links 954: 951: 950: 931:(2): 319–326. 915: 908: 890: 887:. IUPAC. 2002. 874:. 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It is an 1522:Categories 1250:Two-photon 1152:absorption 1034:Rotational 816:Extinction 769:References 748:tryptophan 674:molar mass 625:3.82353216 174:absorbance 95:absorbance 45:wavelength 41:attenuates 1328:Terahertz 1309:Radiowave 1207:Mössbauer 645:ε 636:− 628:× 622:≈ 619:ε 583:⁡ 574:σ 505:λ 492:ε 471:∑ 467:ℓ 452:λ 438:… 409:λ 396:ε 375:∑ 371:ℓ 356:λ 275:ε 254:∑ 250:ℓ 217:∑ 123:ℓ 117:ε 71:0.1 m/mol 21:chemistry 1494:Category 1223:Electron 1190:Emission 1140:emission 1097:Vibronic 730:Proteins 1506:Commons 1333:ESR/EPR 1281:Nucleon 1109:(REMPI) 945:2610349 740:protein 693:⁄ 184:) or a 158:is the 148:is the 53:SI unit 1347:Others 1135:Atomic 943:  906:  760:260 nm 744:280 nm 703:where 141:where 23:, the 1288:Alpha 1257:Auger 1235:X-ray 1202:Gamma 1180:X-ray 1113:Raman 1024:Raman 1019:FT-IR 881:(PDF) 868:(PDF) 835:IUPAC 806:IUPAC 789:(PDF) 83:IUPAC 61:m/mol 941:PMID 904:ISBN 668:The 180:(log 93:The 77:and 57:mole 1316:NMR 933:doi 929:182 849:doi 847:". 820:doi 818:". 758:at 742:at 734:In 27:or 19:In 1524:: 1321:2D 1240:UV 939:. 927:. 883:. 870:. 837:, 808:, 791:. 777:^ 686:= 639:21 632:10 598:10 589:10 580:ln 563:: 199:: 182:10 85:. 995:e 988:t 981:v 968:. 947:. 935:: 912:. 851:: 822:: 723:M 717:ε 710:m 708:ε 696:M 690:ε 683:m 681:ε 648:. 612:A 608:N 602:3 592:) 586:( 577:= 561:A 558:N 527:. 522:i 518:c 514:) 509:N 501:( 496:i 486:N 481:1 478:= 475:i 464:= 461:) 456:N 448:( 445:A 431:, 426:i 422:c 418:) 413:1 405:( 400:i 390:N 385:1 382:= 379:i 368:= 365:) 360:1 352:( 349:A 343:{ 315:N 311:N 294:. 289:i 285:c 279:i 269:N 264:1 261:= 258:i 247:= 242:i 238:A 232:N 227:1 224:= 221:i 213:= 210:A 197:i 193:N 166:â„“ 156:c 146:ε 126:, 120:c 114:= 111:A 66:M 59:( 33:ε 31:(

Index

chemistry
chemical species
attenuates
wavelength
intrinsic property
SI unit
mole
M
IUPAC
absorbance
Beer–Lambert law
molar concentration
absorbance
common logarithm
natural logarithm
wavelengths
isosbestic point
simultaneous equations
attenuation cross section
Avogadro constant
mass absorption coefficient
molar mass
biochemistry
protein
tryptophan
amino acids
nucleic acids


"Chapter 11 Section 2 - Terms and symbols used in photochemistry and in light scattering"

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