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Molar absorption coefficient

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1500: 1512: 555: 347: 669: 331:(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 315: 550:{\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}}} 580: 1331: 147: 1004: 845: 816: 93: 1222: 1155: 1100: 1069: 1064: 216: 1437: 1255: 1117: 1386: 1205: 1049: 1326: 1128: 1029: 1272: 1250: 997: 1338: 1260: 1090: 1195: 1140: 108:
of a material that has only one absorbing species also depends on the pathlength and the concentration of the species, according to the
84:). 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 1422: 1174: 990: 918: 1543: 1427: 1245: 199:(ln). The molar absorption coefficient is usually decadic. When ambiguity exists, it is important to indicate which one applies. 1442: 1412: 1343: 1277: 1371: 1162: 1059: 1538: 1169: 1074: 63: 664:{\displaystyle \sigma =\ln(10){\frac {10^{3}}{N_{\text{A}}}}\varepsilon \approx 3.82353216\times 10^{-21}\,\varepsilon .} 1303: 1150: 1039: 1459: 934:
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
854:, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) " 825:, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) " 863: 834: 757:
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)
663: 549: 309: 141: 765:. Similarly, the molar absorption coefficient of 913:(3rd ed.). New York: Springer. p. 59. 773:can be predicted given the nucleotide sequence. 337:for a pair of species. The set of the following 998: 8: 1070:Vibrational spectroscopy of linear molecules 791: 789: 761:, and can be predicted from the sequence of 1361: 1065:Nuclear resonance vibrational spectroscopy 1005: 991: 983: 1438:Inelastic electron tunneling spectroscopy 1118:Resonance-enhanced multiphoton ionization 654: 645: 621: 611: 605: 582: 531: 518: 505: 495: 484: 465: 435: 422: 409: 399: 388: 369: 351: 349: 298: 288: 278: 267: 251: 241: 230: 218: 119: 1206:Extended X-ray absorption fine structure 749:, the molar absorption coefficient of a 911:Principles of Fluorescence Spectroscopy 785: 896:Compendium on Analytical Nomenclature 883:Compendium on Analytical Nomenclature 736:= Molar mass of the absorbing species 142:{\displaystyle A=\varepsilon c\ell ,} 46:) is a measurement of how strongly a 7: 1511: 851:Compendium of Chemical Terminology 822:Compendium of Chemical Terminology 25: 1423:Deep-level transient spectroscopy 1175:Saturated absorption spectroscopy 1510: 1499: 1498: 1428:Dual-polarization interferometry 320:The composition of a mixture of 1443:Scanning tunneling spectroscopy 1418:Circular dichroism spectroscopy 1413:Acoustic resonance spectroscopy 1372:Fourier-transform spectroscopy 1060:Vibrational circular dichroism 730:= Molar absorption coefficient 602: 596: 524: 511: 471: 458: 428: 415: 375: 362: 1: 1170:Cavity ring-down spectroscopy 1075:Thermal infrared spectroscopy 724:= Mass absorption coefficient 76: 40:molar attenuation coefficient 1304:Inelastic neutron scattering 948:10.1016/0003-2697(89)90602-7 161:molar absorption coefficient 86:molar extinction coefficient 36:molar absorption coefficient 18:Molar extinction coefficient 1365:Data collection, processing 1241:Photoelectron/photoemission 681:mass absorption coefficient 675:Mass absorption coefficient 1565: 1450:Photoacoustic spectroscopy 1392:Time-resolved spectroscopy 806:. IUPAC. 2002. p. 28. 687:of the absorbing species. 1494: 1476:Astronomical spectroscopy 1455:Photothermal spectroscopy 564:(in units of cm) via the 562:attenuation cross section 909:Lakowicz, J. R. (2006). 876:"Molecular Spectroscopy" 1544:Absorption spectroscopy 1460:Pump–probe spectroscopy 1349:Ferromagnetic resonance 1141:Laser-induced breakdown 936:Analytical Biochemistry 864:10.1351/goldbook.A00044 835:10.1351/goldbook.E02293 1156:Glow-discharge optical 1136:Raman optical activity 1050:Rotational–vibrational 889:"Measuring techniques" 665: 551: 500: 404: 339:simultaneous equations 311: 283: 246: 143: 1377:Hyperspectral imaging 666: 552: 480: 384: 312: 263: 226: 144: 50:absorbs, and thereby 1539:Analytical chemistry 1129:Coherent anti-Stokes 1084:UV–Vis–NIR "Optical" 977:fluorescent proteins 581: 348: 217: 118: 62:of the species. The 1433:Hadron spectroscopy 1223:Conversion electron 1184:X-ray and Gamma ray 1091:Ultraviolet–visible 179:is the path length. 171:molar concentration 54:, light at a given 1481:Force spectroscopy 1406:Measured phenomena 1397:Video spectroscopy 1101:Cold vapour atomic 661: 547: 542: 307: 139: 90:molar absorptivity 60:intrinsic property 1526: 1525: 1490: 1489: 1382:Spectrophotometry 1309:Neutron spin echo 1283:Beta spectroscopy 1196:Energy-dispersive 627: 624: 566:Avogadro constant 197:natural logarithm 173:of those species; 163:of that material; 16:(Redirected from 1556: 1549:Molar quantities 1514: 1513: 1502: 1501: 1362: 1273:phenomenological 1022:Vibrational (IR) 1007: 1000: 993: 984: 960: 959: 931: 925: 924: 906: 900: 899: 893: 886: 880: 872: 866: 843: 837: 814: 808: 807: 801: 793: 772: 756: 735: 729: 723: 710: 709: 708: 703: 702: 696: 670: 668: 667: 662: 653: 652: 628: 626: 625: 622: 616: 615: 606: 556: 554: 553: 548: 546: 545: 536: 535: 523: 522: 510: 509: 499: 494: 470: 469: 440: 439: 427: 426: 414: 413: 403: 398: 374: 373: 334:isosbestic point 316: 314: 313: 308: 303: 302: 293: 292: 282: 277: 256: 255: 245: 240: 189:common logarithm 178: 168: 158: 148: 146: 145: 140: 110:Beer–Lambert law 100:Beer–Lambert law 83: 78: 73: 48:chemical species 45: 21: 1564: 1563: 1559: 1558: 1557: 1555: 1554: 1553: 1529: 1528: 1527: 1522: 1486: 1464: 1401: 1353: 1315: 1287: 1229: 1179: 1079: 1040:Resonance Raman 1016: 1011: 969: 964: 963: 933: 932: 928: 921: 908: 907: 903: 891: 887: 878: 874: 873: 869: 844: 840: 815: 811: 799: 795: 794: 787: 782: 770: 754: 743: 733: 727: 722: 718: 706: 705: 700: 699: 698: 695: 691: 677: 641: 617: 607: 579: 578: 573: 541: 540: 527: 514: 501: 461: 452: 451: 445: 444: 431: 418: 405: 365: 352: 346: 345: 294: 284: 247: 215: 214: 202:When there are 194: 176: 166: 156: 116: 115: 102: 81: 71: 43: 28: 23: 22: 15: 12: 11: 5: 1562: 1560: 1552: 1551: 1546: 1541: 1531: 1530: 1524: 1523: 1521: 1520: 1508: 1495: 1492: 1491: 1488: 1487: 1485: 1484: 1478: 1472: 1470: 1466: 1465: 1463: 1462: 1457: 1452: 1447: 1446: 1445: 1435: 1430: 1425: 1420: 1415: 1409: 1407: 1403: 1402: 1400: 1399: 1394: 1389: 1384: 1379: 1374: 1368: 1366: 1359: 1355: 1354: 1352: 1351: 1346: 1341: 1336: 1335: 1334: 1323: 1321: 1317: 1316: 1314: 1313: 1312: 1311: 1301: 1295: 1293: 1289: 1288: 1286: 1285: 1280: 1275: 1270: 1265: 1264: 1263: 1258: 1256:Angle-resolved 1253: 1248: 1237: 1235: 1231: 1230: 1228: 1227: 1226: 1225: 1215: 1210: 1209: 1208: 1203: 1198: 1187: 1185: 1181: 1180: 1178: 1177: 1172: 1167: 1166: 1165: 1160: 1159: 1158: 1143: 1138: 1133: 1132: 1131: 1121: 1115: 1110: 1105: 1104: 1103: 1093: 1087: 1085: 1081: 1080: 1078: 1077: 1072: 1067: 1062: 1057: 1052: 1047: 1042: 1037: 1032: 1026: 1024: 1018: 1017: 1012: 1010: 1009: 1002: 995: 987: 981: 980: 968: 967:External links 965: 962: 961: 942:(2): 319–326. 926: 919: 901: 898:. IUPAC. 2002. 885:. IUPAC. 2002. 867: 838: 809: 784: 783: 781: 778: 742: 739: 738: 737: 731: 725: 720: 712: 711: 693: 676: 673: 672: 671: 660: 657: 651: 648: 644: 640: 637: 634: 631: 620: 614: 610: 604: 601: 598: 595: 592: 589: 586: 571: 558: 557: 544: 539: 534: 530: 526: 521: 517: 513: 508: 504: 498: 493: 490: 487: 483: 479: 476: 473: 468: 464: 460: 457: 454: 453: 450: 447: 446: 443: 438: 434: 430: 425: 421: 417: 412: 408: 402: 397: 394: 391: 387: 383: 380: 377: 372: 368: 364: 361: 358: 357: 355: 318: 317: 306: 301: 297: 291: 287: 281: 276: 273: 270: 266: 262: 259: 254: 250: 244: 239: 236: 233: 229: 225: 222: 192: 181: 180: 174: 164: 150: 149: 138: 135: 132: 129: 126: 123: 101: 98: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 1561: 1550: 1547: 1545: 1542: 1540: 1537: 1536: 1534: 1519: 1518: 1509: 1507: 1506: 1497: 1496: 1493: 1482: 1479: 1477: 1474: 1473: 1471: 1467: 1461: 1458: 1456: 1453: 1451: 1448: 1444: 1441: 1440: 1439: 1436: 1434: 1431: 1429: 1426: 1424: 1421: 1419: 1416: 1414: 1411: 1410: 1408: 1404: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1378: 1375: 1373: 1370: 1369: 1367: 1363: 1360: 1356: 1350: 1347: 1345: 1342: 1340: 1337: 1333: 1330: 1329: 1328: 1325: 1324: 1322: 1318: 1310: 1307: 1306: 1305: 1302: 1300: 1297: 1296: 1294: 1290: 1284: 1281: 1279: 1276: 1274: 1271: 1269: 1266: 1262: 1259: 1257: 1254: 1252: 1249: 1247: 1244: 1243: 1242: 1239: 1238: 1236: 1232: 1224: 1221: 1220: 1219: 1216: 1214: 1211: 1207: 1204: 1202: 1199: 1197: 1194: 1193: 1192: 1189: 1188: 1186: 1182: 1176: 1173: 1171: 1168: 1164: 1161: 1157: 1154: 1153: 1152: 1149: 1148: 1147: 1144: 1142: 1139: 1137: 1134: 1130: 1127: 1126: 1125: 1122: 1119: 1116: 1114: 1113:Near-infrared 1111: 1109: 1106: 1102: 1099: 1098: 1097: 1094: 1092: 1089: 1088: 1086: 1082: 1076: 1073: 1071: 1068: 1066: 1063: 1061: 1058: 1056: 1053: 1051: 1048: 1046: 1043: 1041: 1038: 1036: 1033: 1031: 1028: 1027: 1025: 1023: 1019: 1015: 1008: 1003: 1001: 996: 994: 989: 988: 985: 978: 974: 971: 970: 966: 957: 953: 949: 945: 941: 937: 930: 927: 922: 920:9780387312781 916: 912: 905: 902: 897: 890: 884: 877: 871: 868: 865: 861: 857: 853: 852: 847: 842: 839: 836: 832: 828: 824: 823: 818: 813: 810: 805: 798: 792: 790: 786: 779: 777: 774: 768: 767:nucleic acids 764: 760: 752: 748: 740: 732: 726: 717: 716: 715: 690: 689: 688: 686: 682: 674: 658: 655: 649: 646: 642: 638: 635: 632: 629: 618: 612: 608: 599: 593: 590: 587: 584: 577: 576: 575: 570: 567: 563: 537: 532: 528: 519: 515: 506: 502: 496: 491: 488: 485: 481: 477: 474: 466: 462: 455: 448: 441: 436: 432: 423: 419: 410: 406: 400: 395: 392: 389: 385: 381: 378: 370: 366: 359: 353: 344: 343: 342: 340: 336: 335: 330: 327: 323: 304: 299: 295: 289: 285: 279: 274: 271: 268: 264: 260: 257: 252: 248: 242: 237: 234: 231: 227: 223: 220: 213: 212: 211: 209: 205: 200: 198: 190: 186: 175: 172: 165: 162: 155: 154: 153: 136: 133: 130: 127: 124: 121: 114: 113: 112: 111: 107: 99: 97: 95: 91: 87: 79: 69: 65: 61: 57: 53: 49: 41: 37: 33: 19: 1515: 1503: 1483:(a misnomer) 1469:Applications 1387:Time-stretch 1278:paramagnetic 1096:Fluorescence 1014:Spectroscopy 939: 935: 929: 910: 904: 895: 882: 870: 856:Absorptivity 849: 841: 820: 812: 803: 775: 747:biochemistry 744: 713: 678: 568: 559: 332: 325: 321: 319: 207: 203: 201: 182: 160: 151: 103: 89: 85: 39: 35: 29: 1055:Vibrational 763:amino acids 329:wavelengths 58:. It is an 1533:Categories 1261:Two-photon 1163:absorption 1045:Rotational 827:Extinction 780:References 759:tryptophan 685:molar mass 636:3.82353216 185:absorbance 106:absorbance 56:wavelength 52:attenuates 1339:Terahertz 1320:Radiowave 1218:Mössbauer 656:ε 647:− 639:× 633:≈ 630:ε 594:⁡ 585:σ 516:λ 503:ε 482:∑ 478:ℓ 463:λ 449:… 420:λ 407:ε 386:∑ 382:ℓ 367:λ 286:ε 265:∑ 261:ℓ 228:∑ 134:ℓ 128:ε 82:0.1 m/mol 32:chemistry 1505:Category 1234:Electron 1201:Emission 1151:emission 1108:Vibronic 741:Proteins 1517:Commons 1344:ESR/EPR 1292:Nucleon 1120:(REMPI) 956:2610349 751:protein 704:⁄ 195:) or a 169:is the 159:is the 64:SI unit 1358:Others 1146:Atomic 954:  917:  771:260 nm 755:280 nm 714:where 152:where 34:, the 1299:Alpha 1268:Auger 1246:X-ray 1213:Gamma 1191:X-ray 1124:Raman 1035:Raman 1030:FT-IR 892:(PDF) 879:(PDF) 846:IUPAC 817:IUPAC 800:(PDF) 94:IUPAC 72:m/mol 952:PMID 915:ISBN 679:The 191:(log 104:The 88:and 68:mole 1327:NMR 944:doi 940:182 860:doi 858:". 831:doi 829:". 769:at 753:at 745:In 38:or 30:In 1535:: 1332:2D 1251:UV 950:. 938:. 894:. 881:. 848:, 819:, 802:. 788:^ 697:= 650:21 643:10 609:10 600:10 591:ln 574:: 210:: 193:10 96:. 1006:e 999:t 992:v 979:. 958:. 946:: 923:. 862:: 833:: 734:M 728:ε 721:m 719:ε 707:M 701:ε 694:m 692:ε 659:. 623:A 619:N 613:3 603:) 597:( 588:= 572:A 569:N 538:. 533:i 529:c 525:) 520:N 512:( 507:i 497:N 492:1 489:= 486:i 475:= 472:) 467:N 459:( 456:A 442:, 437:i 433:c 429:) 424:1 416:( 411:i 401:N 396:1 393:= 390:i 379:= 376:) 371:1 363:( 360:A 354:{ 326:N 322:N 305:. 300:i 296:c 290:i 280:N 275:1 272:= 269:i 258:= 253:i 249:A 243:N 238:1 235:= 232:i 224:= 221:A 208:i 204:N 177:â„“ 167:c 157:ε 137:, 131:c 125:= 122:A 77:M 70:( 44:ε 42:( 20:)

Index

Molar extinction coefficient
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

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