257:(i.e. empty sites on the lattice) due to the random vibrations of atoms on the lattice, an atom neighbouring a vacancy can spontaneously "jump" into the vacancy, such that the vacancy appears to move. By this process the atoms in the solid can move, and diffuse into each other. Of the two mechanisms, interstitial diffusion is typically more rapid.
72:
for a multi-species system. The higher the diffusivity (of one substance with respect to another), the faster they diffuse into each other. Typically, a compound's diffusion coefficient is ~10,000× as great in air as in water. Carbon dioxide in air has a diffusion coefficient of 16 mm/s, and in
56:
and the negative value of the gradient in the concentration of the species. More accurately, the diffusion coefficient times the local concentration is the proportionality constant between the negative value of the mole fraction gradient and the molar flux. This distinction is especially significant
1822:
equals the total porosity less the pores which, due to their size, are not accessible to the diffusing particles, and less dead-end and blind pores (i.e., pores without being connected to the rest of the pore system). The constrictivity describes the slowing down of diffusion by increasing the
1265:
783:
556:
1692:
depends on population densities and abiotic characteristics of the living conditions. This dependence is a formalisation of the simple rule: Animals stay longer in good conditions and leave quicker bad conditions (the "Let well enough alone" model).
392:
634:
1559:
1772:
1139:
175:
252:
in the lattice of the solid it is diffusion into, the latter describes diffusion through a mechanism more analogue to that in liquids or gases: Any crystal at nonzero temperature will have a certain number of
929:
1405:
447:
654:
1084:
1004:
274:
1603:
is the change of the diffusion coefficient in response to the change of conditions. In models of purposeful kinesis, diffusion coefficient depends on fitness (or reproduction coefficient)
1463:
1657:
1311:
1709:
in nature, because it is not individual pores but the entire pore space that needs to be considered. The effective diffusion coefficient for transport through the pores,
1436:
562:
1686:
1132:
1321:. Revised Enskog Theory predicts a diffusion coefficient that decreases somewhat more rapidly with density, and which to a first approximation may be written as
837:
810:
1481:
1106:
1719:
106:
1827:
in narrow pores as a result of greater proximity to the average pore wall. It is a function of pore diameter and the size of the diffusing particles.
1317:, but is still sufficiently dilute to be considered as gas-like rather than liquid-like) this simple relation no longer holds, and one must resort to
1260:{\displaystyle D_{0}={\frac {3}{8\sigma _{12}^{2}}}{\sqrt {\left({\frac {R}{2\pi }}\right)\left({\frac {1}{M_{1}}}+{\frac {1}{M_{2}}}\right)}}}
1478:
For self-diffusion in gases at two different pressures (but the same temperature), the following empirical equation has been suggested:
2561:
The mathematical theory of non-uniform gases: an account of the kinetic theory of viscosity, thermal conduction, and diffusion in gases
865:
778:{\textstyle 1.859\times 10^{-3}\mathrm {{\frac {atm\cdot \mathrm {\AA} ^{2}\cdot {cm}^{2}}{K^{3/2}\cdot s}}{\sqrt {\frac {g}{mol}}}} }
1326:
245:
2568:
2476:
2415:
17:
1835:
Gases at 1 atm., solutes in liquid at infinite dilution. Legend: (s) – solid; (l) – liquid; (g) – gas; (dis) – dissolved.
1610:
1467:
1017:
947:
551:{\displaystyle D={\frac {AT^{\frac {3}{2}}}{p\sigma _{12}^{2}\Omega }}{\sqrt {{\frac {1}{M_{1}}}+{\frac {1}{M_{2}}}}},}
2628:
2508:
2451:
1451:
69:
2351:
2563:. Cambridge mathematical library (3rd ed.). Cambridge New York Port Chester : Cambridge university press.
2356:
233:
97:
The diffusion coefficient in solids at different temperatures is generally found to be well predicted by the
1600:
2650:
1439:
266:
387:{\displaystyle {\frac {D_{T_{1}}}{D_{T_{2}}}}={\frac {T_{1}}{T_{2}}}{\frac {\mu _{T_{2}}}{\mu _{T_{1}}}},}
265:
An approximate dependence of the diffusion coefficient on temperature in liquids can often be found using
2621:
Diffusion in natural porous media: Contaminant transport, sorption / desorption and dissolution kinetics
1313:
the universal gas constant. At moderate densities (i.e. densities at which the gas has a non-negligible
1009:
439:
938:, can be computed from correlations for others, or must be evaluated numerically.) (dimensionless).
1273:
1459:
1412:
57:
in gaseous systems with strong temperature gradients. Diffusivity derives its definition from
1318:
438:
The dependence of the diffusion coefficient on temperature for gases can be expressed using
2391:
1664:
241:
1594:
1111:
30:
This article is about the coefficient of molecular diffusion of mass. For other uses, see
8:
1008:
is obtained when inserting the ideal gas law into the expression obtained directly from
248:. The former mechanism describes diffusion as the motion of the diffusing atoms between
2655:
2497:
1091:
815:
788:
98:
62:
2624:
2601:
2597:
2564:
2541:
2504:
2472:
2447:
2411:
2380:
2361:
426:
249:
237:
205:
2593:
2533:
2346:
1443:
1701:
The effective diffusion coefficient describes diffusion through the pore space of
629:{\displaystyle A={\frac {3}{8}}k_{b}^{\frac {3}{2}}{\sqrt {\frac {N_{A}}{2\pi }}}}
1314:
2381:
CRC Press Online: CRC Handbook of
Chemistry and Physics, Section 6, 91st Edition
2467:
Welty, James R.; Wicks, Charles E.; Wilson, Robert E.; Rorrer, Gregory (2001).
1801:
935:
934:Ω is a temperature-dependent collision integral (the values tabulated for some
254:
2537:
49:
2644:
2605:
2545:
1455:
58:
1702:
1447:
225:
1554:{\displaystyle {\frac {D_{P1}}{D_{P2}}}={\frac {\rho _{P2}}{\rho _{P1}}},}
931:
is the average collision diameter (the values are tabulated page 545) (Å),
2408:
Fundamentals of materials science and engineering: an integrated approach
1706:
31:
842:
1 and 2 index the two kinds of molecules present in the gaseous mixture,
68:
The diffusivity is generally prescribed for a given pair of species and
1811:
1767:{\displaystyle D_{\text{e}}={\frac {D\varepsilon _{t}\delta }{\tau }},}
1595:
Population dynamics: dependence of the diffusion coefficient on fitness
195:
is the maximal diffusion coefficient (at infinite temperature; in m/s),
87:
1824:
81:
53:
170:{\displaystyle D=D_{0}\exp \left(-{\frac {E_{\text{A}}}{RT}}\right)}
1819:
1791:
1473:
77:
1454:, while for more realistic intermolecular potentials such as the
924:{\textstyle \sigma _{12}={\frac {1}{2}}(\sigma _{1}+\sigma _{2})}
2559:
Chapman, Sydney; Cowling, Thomas George; Burnett, David (1990).
1781:
is the diffusion coefficient in gas or liquid filling the pores,
2584:
Cohen, E. G. D. (1993-03-15). "Fifty years of kinetic theory".
1400:{\displaystyle D=D_{0}{\frac {T^{1/2}}{ng(\sigma )\Omega (T)}}}
48:
is usually written as the proportionality constant between the
1462:, its computation is more complex, and may involve invoking a
236:, is commonly regarded to occur by two distinct mechanisms,
1696:
2494:
76:
Diffusivity has dimensions of length / time, or m/s in
2495:
Hirschfelder, J.; Curtiss, C. F.; Bird, R. B. (1954).
2466:
2446:(2nd ed.). New York: Cambridge University Press.
868:
818:
791:
657:
2586:
Physica A: Statistical
Mechanics and its Applications
2558:
1722:
1667:
1613:
1484:
1415:
1329:
1276:
1142:
1114:
1094:
1079:{\displaystyle D=D_{0}{\frac {T^{1/2}}{n\Omega (T)}}}
1020:
950:
565:
450:
277:
109:
73:
water its diffusion coefficient is 0.0016 mm/s.
999:{\displaystyle D\sim {\frac {T^{3/2}}{p\Omega (T)}}}
2406:Callister, William D.; Rethwisch, David G. (2012).
88:
Temperature dependence of the diffusion coefficient
2496:
2405:
1766:
1680:
1651:
1553:
1430:
1399:
1305:
1259:
1126:
1100:
1078:
998:
923:
831:
804:
777:
628:
550:
386:
169:
2469:Fundamentals of Momentum, Heat, and Mass Transfer
2642:
1474:Pressure dependence of the diffusion coefficient
61:and plays a role in numerous other equations of
442:(predictions accurate on average to about 8%):
2490:
2488:
1446:of the particles. For molecules behaving like
27:Proportionality constant in some physical laws
1794:available for the transport (dimensionless),
419:are the corresponding absolute temperatures,
2485:
1899:Values of diffusion coefficients (liquid)
2618:
2612:
2444:Diffusion: Mass Transfer in Fluid Systems
2437:
2435:
2433:
2431:
2429:
2427:
2267:Values of diffusion coefficients (solid)
232:Diffusion in crystalline solids, termed
2441:
1839:Values of diffusion coefficients (gas)
14:
2643:
2424:
1450:, this value can be computed from the
186:is the diffusion coefficient (in m/s),
2583:
2499:Molecular Theory of Gases and Liquids
1697:Effective diffusivity in porous media
1652:{\displaystyle D=D_{0}e^{-\alpha r},}
2460:
2401:
2399:
645:is the diffusion coefficient (cm/s),
214:is the absolute temperature (in K),
24:
2410:(4 ed.). Hoboken, NJ: Wiley.
1382:
1061:
981:
767:
764:
761:
757:
748:
728:
715:
712:
687:
684:
681:
498:
25:
2667:
2396:
1830:
1464:thermodynamic perturbation theory
1590:are the corresponding pressures.
848:is the absolute temperature (K),
2352:Effective diffusion coefficient
2577:
2552:
2526:Теплофизика высоких температур
2517:
2385:
2374:
1425:
1419:
1391:
1385:
1379:
1373:
1070:
1064:
990:
984:
918:
892:
13:
1:
2367:
2357:Lattice diffusion coefficient
1568:is the diffusion coefficient,
1108:is the molar density (mol / m
403:is the diffusion coefficient,
2598:10.1016/0378-4371(93)90357-A
1440:radial distribution function
1306:{\displaystyle R=k_{B}N_{A}}
7:
2340:
1716:, is estimated as follows:
10:
2672:
1452:Carnahan-Starling Equation
1431:{\displaystyle g(\sigma )}
1012:, which may be written as
854:is the molar mass (g/mol),
260:
29:
2538:10.7868/s0040364414040279
2279:
2274:
2271:
1911:
1906:
1903:
1851:
1846:
1843:
936:intermolecular potentials
785:(with Boltzmann constant
208:for diffusion (in J/mol),
92:
2524:"К юбилею Г.И. Канеля".
1818:The transport-available
1599:In population dynamics,
1574:is the gas mass density,
812:, and Avogadro constant
433:
267:Stokes–Einstein equation
2442:Cussler, E. L. (1997).
1460:Lennard-Jones potential
2619:Grathwohl, P. (1998).
2125:Hydrogen sulfide (dis)
1768:
1682:
1653:
1555:
1432:
1401:
1307:
1261:
1128:
1102:
1080:
1000:
925:
860:is the pressure (atm),
833:
806:
779:
630:
552:
388:
269:, which predicts that
226:universal gas constant
171:
2013:Carbon monoxide (dis)
1769:
1683:
1681:{\displaystyle D_{0}}
1654:
1556:
1448:hard, elastic spheres
1433:
1402:
1319:Revised Enskog Theory
1308:
1262:
1129:
1103:
1081:
1010:Chapman-Enskog theory
1001:
926:
834:
807:
780:
631:
553:
440:Chapman–Enskog theory
389:
172:
46:diffusion coefficient
18:Diffusion coefficient
2532:(4): 487–488. 2014.
2027:Carbon dioxide (dis)
1720:
1665:
1611:
1482:
1413:
1327:
1274:
1140:
1127:{\displaystyle ^{3}}
1112:
1092:
1018:
948:
866:
816:
789:
655:
563:
448:
275:
107:
2651:Transport phenomena
2623:. Kluwer Academic.
2503:. New York: Wiley.
2268:
1900:
1840:
1179:
1134:) of the gas, and
601:
497:
2266:
2181:Nitric oxide (dis)
1898:
1838:
1764:
1678:
1649:
1551:
1428:
1397:
1303:
1257:
1165:
1124:
1098:
1076:
996:
921:
832:{\textstyle N_{A}}
829:
805:{\textstyle k_{b}}
802:
775:
626:
582:
548:
483:
384:
250:interstitial sites
167:
99:Arrhenius equation
63:physical chemistry
2570:978-0-521-40844-8
2478:978-0-470-12868-8
2417:978-1-118-06160-2
2362:Knudsen diffusion
2338:
2337:
2264:
2263:
2254:Ethyl acetate (l)
2240:Ethyl alcohol (l)
1896:
1895:
1759:
1730:
1546:
1513:
1442:evaluated at the
1395:
1255:
1248:
1228:
1202:
1181:
1101:{\displaystyle n}
1074:
994:
890:
772:
771:
752:
651:is approximately
624:
623:
599:
580:
543:
541:
521:
502:
475:
427:dynamic viscosity
379:
341:
314:
246:vacancy diffusion
234:lattice diffusion
224:J/(mol⋅K) is the
206:activation energy
160:
149:
52:due to molecular
16:(Redirected from
2663:
2635:
2634:
2616:
2610:
2609:
2581:
2575:
2574:
2556:
2550:
2549:
2521:
2515:
2514:
2502:
2492:
2483:
2482:
2464:
2458:
2457:
2439:
2422:
2421:
2403:
2394:
2389:
2383:
2378:
2347:Atomic diffusion
2269:
2265:
1901:
1897:
1841:
1837:
1814:(dimensionless).
1804:(dimensionless),
1773:
1771:
1770:
1765:
1760:
1755:
1751:
1750:
1737:
1732:
1731:
1728:
1688:is constant and
1687:
1685:
1684:
1679:
1677:
1676:
1658:
1656:
1655:
1650:
1645:
1644:
1629:
1628:
1560:
1558:
1557:
1552:
1547:
1545:
1544:
1532:
1531:
1519:
1514:
1512:
1511:
1499:
1498:
1486:
1444:contact diameter
1437:
1435:
1434:
1429:
1406:
1404:
1403:
1398:
1396:
1394:
1365:
1364:
1360:
1347:
1345:
1344:
1312:
1310:
1309:
1304:
1302:
1301:
1292:
1291:
1266:
1264:
1263:
1258:
1256:
1254:
1250:
1249:
1247:
1246:
1234:
1229:
1227:
1226:
1214:
1207:
1203:
1201:
1190:
1184:
1182:
1180:
1178:
1173:
1157:
1152:
1151:
1133:
1131:
1130:
1125:
1123:
1122:
1107:
1105:
1104:
1099:
1085:
1083:
1082:
1077:
1075:
1073:
1056:
1055:
1051:
1038:
1036:
1035:
1005:
1003:
1002:
997:
995:
993:
976:
975:
971:
958:
930:
928:
927:
922:
917:
916:
904:
903:
891:
883:
878:
877:
838:
836:
835:
830:
828:
827:
811:
809:
808:
803:
801:
800:
784:
782:
781:
776:
774:
773:
770:
756:
755:
753:
751:
744:
743:
739:
725:
724:
723:
718:
706:
705:
700:
699:
679:
676:
675:
635:
633:
632:
627:
625:
622:
614:
613:
604:
603:
600:
592:
590:
581:
573:
557:
555:
554:
549:
544:
542:
540:
539:
527:
522:
520:
519:
507:
505:
503:
501:
496:
491:
478:
477:
476:
468:
458:
393:
391:
390:
385:
380:
378:
377:
376:
375:
361:
360:
359:
358:
344:
342:
340:
339:
330:
329:
320:
315:
313:
312:
311:
310:
296:
295:
294:
293:
279:
223:
176:
174:
173:
168:
166:
162:
161:
159:
151:
150:
147:
141:
125:
124:
42:mass diffusivity
21:
2671:
2670:
2666:
2665:
2664:
2662:
2661:
2660:
2641:
2640:
2639:
2638:
2631:
2617:
2613:
2582:
2578:
2571:
2557:
2553:
2523:
2522:
2518:
2511:
2493:
2486:
2479:
2465:
2461:
2454:
2440:
2425:
2418:
2404:
2397:
2390:
2386:
2379:
2375:
2370:
2343:
2283:
2276:
1915:
1908:
1855:
1848:
1833:
1788:
1746:
1742:
1738:
1736:
1727:
1723:
1721:
1718:
1717:
1715:
1699:
1672:
1668:
1666:
1663:
1662:
1634:
1630:
1624:
1620:
1612:
1609:
1608:
1597:
1589:
1582:
1537:
1533:
1524:
1520:
1518:
1504:
1500:
1491:
1487:
1485:
1483:
1480:
1479:
1476:
1414:
1411:
1410:
1366:
1356:
1352:
1348:
1346:
1340:
1336:
1328:
1325:
1324:
1297:
1293:
1287:
1283:
1275:
1272:
1271:
1242:
1238:
1233:
1222:
1218:
1213:
1212:
1208:
1194:
1189:
1185:
1183:
1174:
1169:
1161:
1156:
1147:
1143:
1141:
1138:
1137:
1118:
1115:
1113:
1110:
1109:
1093:
1090:
1089:
1057:
1047:
1043:
1039:
1037:
1031:
1027:
1019:
1016:
1015:
977:
967:
963:
959:
957:
949:
946:
945:
912:
908:
899:
895:
882:
873:
869:
867:
864:
863:
823:
819:
817:
814:
813:
796:
792:
790:
787:
786:
760:
754:
735:
731:
727:
726:
719:
711:
710:
701:
695:
694:
693:
680:
678:
677:
668:
664:
656:
653:
652:
615:
609:
605:
602:
591:
586:
572:
564:
561:
560:
535:
531:
526:
515:
511:
506:
504:
492:
487:
479:
467:
463:
459:
457:
449:
446:
445:
436:
429:of the solvent.
418:
411:
371:
367:
366:
362:
354:
350:
349:
345:
343:
335:
331:
325:
321:
319:
306:
302:
301:
297:
289:
285:
284:
280:
278:
276:
273:
272:
263:
255:vacancy defects
221:
203:
194:
152:
146:
142:
140:
136:
132:
120:
116:
108:
105:
104:
95:
90:
35:
28:
23:
22:
15:
12:
11:
5:
2669:
2659:
2658:
2653:
2637:
2636:
2629:
2611:
2592:(1): 229–257.
2576:
2569:
2551:
2528:(in Russian).
2516:
2509:
2484:
2477:
2459:
2452:
2423:
2416:
2395:
2384:
2372:
2371:
2369:
2366:
2365:
2364:
2359:
2354:
2349:
2342:
2339:
2336:
2335:
2332:
2329:
2326:
2322:
2321:
2318:
2315:
2312:
2308:
2307:
2304:
2301:
2298:
2294:
2293:
2290:
2286:
2285:
2278:
2273:
2262:
2261:
2258:
2255:
2252:
2248:
2247:
2244:
2241:
2238:
2234:
2233:
2230:
2227:
2224:
2220:
2219:
2216:
2213:
2210:
2206:
2205:
2202:
2199:
2196:
2192:
2191:
2188:
2185:
2182:
2178:
2177:
2174:
2171:
2168:
2167:Nitrogen (dis)
2164:
2163:
2160:
2157:
2154:
2153:Methanol (dis)
2150:
2149:
2146:
2143:
2140:
2136:
2135:
2132:
2129:
2126:
2122:
2121:
2118:
2115:
2112:
2111:Hydrogen (dis)
2108:
2107:
2104:
2101:
2098:
2094:
2093:
2090:
2087:
2084:
2083:Ethylene (dis)
2080:
2079:
2076:
2073:
2070:
2066:
2065:
2062:
2059:
2056:
2052:
2051:
2048:
2045:
2042:
2041:Chlorine (dis)
2038:
2037:
2034:
2031:
2028:
2024:
2023:
2020:
2017:
2014:
2010:
2009:
2006:
2003:
2000:
1996:
1995:
1992:
1989:
1986:
1982:
1981:
1978:
1975:
1972:
1968:
1967:
1964:
1961:
1958:
1954:
1953:
1950:
1947:
1944:
1940:
1939:
1936:
1933:
1930:
1926:
1925:
1922:
1918:
1917:
1910:
1905:
1894:
1893:
1890:
1887:
1884:
1880:
1879:
1876:
1873:
1870:
1866:
1865:
1862:
1858:
1857:
1850:
1845:
1832:
1831:Example values
1829:
1816:
1815:
1805:
1802:constrictivity
1795:
1786:
1782:
1763:
1758:
1754:
1749:
1745:
1741:
1735:
1726:
1713:
1698:
1695:
1675:
1671:
1648:
1643:
1640:
1637:
1633:
1627:
1623:
1619:
1616:
1596:
1593:
1592:
1591:
1587:
1580:
1575:
1569:
1550:
1543:
1540:
1536:
1530:
1527:
1523:
1517:
1510:
1507:
1503:
1497:
1494:
1490:
1475:
1472:
1427:
1424:
1421:
1418:
1393:
1390:
1387:
1384:
1381:
1378:
1375:
1372:
1369:
1363:
1359:
1355:
1351:
1343:
1339:
1335:
1332:
1300:
1296:
1290:
1286:
1282:
1279:
1253:
1245:
1241:
1237:
1232:
1225:
1221:
1217:
1211:
1206:
1200:
1197:
1193:
1188:
1177:
1172:
1168:
1164:
1160:
1155:
1150:
1146:
1121:
1117:
1097:
1072:
1069:
1066:
1063:
1060:
1054:
1050:
1046:
1042:
1034:
1030:
1026:
1023:
992:
989:
986:
983:
980:
974:
970:
966:
962:
956:
953:
942:The relation
940:
939:
932:
920:
915:
911:
907:
902:
898:
894:
889:
886:
881:
876:
872:
861:
855:
849:
843:
840:
826:
822:
799:
795:
769:
766:
763:
759:
750:
747:
742:
738:
734:
730:
722:
717:
714:
709:
704:
698:
692:
689:
686:
683:
674:
671:
667:
663:
660:
646:
621:
618:
612:
608:
598:
595:
589:
585:
579:
576:
571:
568:
547:
538:
534:
530:
525:
518:
514:
510:
500:
495:
490:
486:
482:
474:
471:
466:
462:
456:
453:
435:
432:
431:
430:
420:
416:
409:
404:
383:
374:
370:
365:
357:
353:
348:
338:
334:
328:
324:
318:
309:
305:
300:
292:
288:
283:
262:
259:
242:substitutional
230:
229:
215:
209:
201:
196:
192:
187:
165:
158:
155:
145:
139:
135:
131:
128:
123:
119:
115:
112:
94:
91:
89:
86:
26:
9:
6:
4:
3:
2:
2668:
2657:
2654:
2652:
2649:
2648:
2646:
2632:
2630:0-7923-8102-5
2626:
2622:
2615:
2607:
2603:
2599:
2595:
2591:
2587:
2580:
2572:
2566:
2562:
2555:
2547:
2543:
2539:
2535:
2531:
2527:
2520:
2512:
2510:0-471-40065-3
2506:
2501:
2500:
2491:
2489:
2480:
2474:
2470:
2463:
2455:
2453:0-521-45078-0
2449:
2445:
2438:
2436:
2434:
2432:
2430:
2428:
2419:
2413:
2409:
2402:
2400:
2393:
2388:
2382:
2377:
2373:
2363:
2360:
2358:
2355:
2353:
2350:
2348:
2345:
2344:
2333:
2330:
2327:
2324:
2323:
2319:
2316:
2313:
2310:
2309:
2305:
2302:
2299:
2296:
2295:
2291:
2288:
2287:
2282:
2272:Species pair
2270:
2259:
2256:
2253:
2250:
2249:
2245:
2242:
2239:
2236:
2235:
2231:
2228:
2225:
2222:
2221:
2217:
2214:
2211:
2209:Propane (dis)
2208:
2207:
2203:
2200:
2197:
2194:
2193:
2189:
2186:
2183:
2180:
2179:
2175:
2172:
2169:
2166:
2165:
2161:
2158:
2155:
2152:
2151:
2147:
2144:
2141:
2139:Methane (dis)
2138:
2137:
2133:
2130:
2127:
2124:
2123:
2119:
2116:
2113:
2110:
2109:
2105:
2102:
2099:
2096:
2095:
2091:
2088:
2085:
2082:
2081:
2077:
2074:
2071:
2069:Ethanol (dis)
2068:
2067:
2063:
2060:
2057:
2054:
2053:
2049:
2046:
2043:
2040:
2039:
2035:
2032:
2029:
2026:
2025:
2021:
2018:
2015:
2012:
2011:
2007:
2004:
2001:
1999:Bromine (dis)
1998:
1997:
1993:
1990:
1987:
1985:Benzene (dis)
1984:
1983:
1979:
1976:
1973:
1970:
1969:
1965:
1962:
1959:
1957:Ammonia (dis)
1956:
1955:
1951:
1948:
1945:
1942:
1941:
1937:
1934:
1931:
1929:Acetone (dis)
1928:
1927:
1923:
1920:
1919:
1914:
1904:Species pair
1902:
1891:
1888:
1885:
1882:
1881:
1877:
1874:
1871:
1868:
1867:
1863:
1860:
1859:
1854:
1844:Species pair
1842:
1836:
1828:
1826:
1821:
1813:
1809:
1806:
1803:
1799:
1796:
1793:
1789:
1783:
1780:
1777:
1776:
1775:
1761:
1756:
1752:
1747:
1743:
1739:
1733:
1724:
1712:
1708:
1704:
1694:
1691:
1673:
1669:
1659:
1646:
1641:
1638:
1635:
1631:
1625:
1621:
1617:
1614:
1606:
1602:
1586:
1579:
1576:
1573:
1570:
1567:
1564:
1563:
1562:
1548:
1541:
1538:
1534:
1528:
1525:
1521:
1515:
1508:
1505:
1501:
1495:
1492:
1488:
1471:
1469:
1465:
1461:
1457:
1456:Mie potential
1453:
1449:
1445:
1441:
1422:
1416:
1407:
1388:
1376:
1370:
1367:
1361:
1357:
1353:
1349:
1341:
1337:
1333:
1330:
1322:
1320:
1316:
1298:
1294:
1288:
1284:
1280:
1277:
1268:
1251:
1243:
1239:
1235:
1230:
1223:
1219:
1215:
1209:
1204:
1198:
1195:
1191:
1186:
1175:
1170:
1166:
1162:
1158:
1153:
1148:
1144:
1135:
1119:
1116:
1095:
1086:
1067:
1058:
1052:
1048:
1044:
1040:
1032:
1028:
1024:
1021:
1013:
1011:
1006:
987:
978:
972:
968:
964:
960:
954:
951:
943:
937:
933:
913:
909:
905:
900:
896:
887:
884:
879:
874:
870:
862:
859:
856:
853:
850:
847:
844:
841:
824:
820:
797:
793:
745:
740:
736:
732:
720:
707:
702:
696:
690:
672:
669:
665:
661:
658:
650:
647:
644:
641:
640:
639:
636:
619:
616:
610:
606:
596:
593:
587:
583:
577:
574:
569:
566:
558:
545:
536:
532:
528:
523:
516:
512:
508:
493:
488:
484:
480:
472:
469:
464:
460:
454:
451:
443:
441:
428:
424:
421:
415:
408:
405:
402:
399:
398:
397:
394:
381:
372:
368:
363:
355:
351:
346:
336:
332:
326:
322:
316:
307:
303:
298:
290:
286:
281:
270:
268:
258:
256:
251:
247:
243:
239:
235:
227:
219:
216:
213:
210:
207:
200:
197:
191:
188:
185:
182:
181:
180:
177:
163:
156:
153:
143:
137:
133:
129:
126:
121:
117:
113:
110:
102:
100:
85:
83:
79:
74:
71:
66:
64:
60:
55:
51:
47:
43:
39:
33:
19:
2620:
2614:
2589:
2585:
2579:
2560:
2554:
2529:
2525:
2519:
2498:
2468:
2462:
2443:
2407:
2387:
2376:
2280:
2275:Temperature
2195:Oxygen (dis)
2097:Helium (dis)
2055:Ethane (dis)
1912:
1907:Temperature
1852:
1847:Temperature
1834:
1817:
1807:
1797:
1784:
1778:
1710:
1703:porous media
1700:
1689:
1660:
1604:
1598:
1584:
1577:
1571:
1565:
1477:
1408:
1323:
1269:
1136:
1087:
1014:
1007:
944:
941:
857:
851:
845:
648:
642:
637:
559:
444:
437:
422:
413:
406:
400:
395:
271:
264:
238:interstitial
231:
217:
211:
198:
189:
183:
178:
103:
96:
80:and cm/s in
75:
67:
45:
41:
37:
36:
2226:Acetone (l)
1971:Argon (dis)
1707:macroscopic
38:Diffusivity
32:Diffusivity
2645:Categories
2368:References
2328:Copper (s)
1883:Oxygen (g)
1812:tortuosity
1466:, such as
59:Fick's law
50:molar flux
2656:Diffusion
2606:0378-4371
2546:0040-3644
2471:. Wiley.
2392:Diffusion
2325:Aluminium
2251:Water (l)
2237:Water (l)
2223:Water (l)
2212:Water (l)
2198:Water (l)
2184:Water (l)
2170:Water (l)
2156:Water (l)
2142:Water (l)
2128:Water (l)
2114:Water (l)
2100:Water (l)
2086:Water (l)
2072:Water (l)
2058:Water (l)
2044:Water (l)
2030:Water (l)
2016:Water (l)
2002:Water (l)
1988:Water (l)
1974:Water (l)
1960:Water (l)
1946:Water (l)
1943:Air (dis)
1932:Water (l)
1869:Water (g)
1825:viscosity
1757:τ
1753:δ
1744:ε
1639:α
1636:−
1535:ρ
1522:ρ
1423:σ
1383:Ω
1377:σ
1315:co-volume
1199:π
1167:σ
1062:Ω
982:Ω
955:∼
910:σ
897:σ
871:σ
746:⋅
708:⋅
691:⋅
670:−
662:×
620:π
499:Ω
485:σ
364:μ
347:μ
220:≈ 8.31446
138:−
130:
82:CGS units
54:diffusion
2341:See also
2314:Iron (s)
2311:Hydrogen
2306:1.66×10
2300:Iron (s)
2297:Hydrogen
2292:Solvent
2260:3.20×10
2246:1.24×10
2232:4.56×10
2218:0.97×10
2204:2.10×10
2190:2.60×10
2176:1.88×10
2162:0.84×10
2148:1.49×10
2134:1.41×10
2120:4.50×10
2106:6.28×10
2092:1.87×10
2078:0.84×10
2064:1.20×10
2050:1.25×10
2036:1.92×10
2022:2.03×10
2008:1.18×10
1994:1.02×10
1980:2.00×10
1966:1.64×10
1952:2.00×10
1938:1.16×10
1924:Solvent
1864:Solvent
1820:porosity
1792:porosity
1705:. It is
78:SI units
70:pairwise
2334:1.3×10
2320:124×10
2289:Solute
2284:(cm/s)
1921:Solute
1916:(cm/s)
1886:Air (g)
1872:Air (g)
1861:Solute
1856:(cm/s)
1810:is the
1800:is the
1790:is the
1601:kinesis
1438:is the
425:is the
261:Liquids
204:is the
2627:
2604:
2567:
2544:
2507:
2475:
2450:
2414:
1892:0.176
1878:0.260
1774:where
1661:where
1561:where
1409:where
1088:where
697:Å
638:where
396:where
222:
179:where
93:Solids
2277:(°C)
1909:(°C)
1849:(°C)
1270:with
659:1.859
434:Gases
2625:ISBN
2602:ISSN
2565:ISBN
2542:ISSN
2505:ISBN
2473:ISBN
2448:ISBN
2412:ISBN
1583:and
1468:SAFT
412:and
240:and
2594:doi
2590:194
2534:doi
2317:100
1458:or
244:or
127:exp
44:or
2647::
2600:.
2588:.
2540:.
2530:52
2487:^
2426:^
2398:^
2331:20
2303:10
2257:25
2243:25
2229:25
2215:25
2201:25
2187:25
2173:25
2159:25
2145:25
2131:25
2117:25
2103:25
2089:25
2075:25
2061:25
2047:25
2033:25
2019:25
2005:25
1991:25
1977:25
1963:12
1949:25
1935:25
1889:25
1875:25
1607::
1470:.
1267:,
1171:12
875:12
666:10
489:12
101::
84:.
65:.
40:,
2633:.
2608:.
2596::
2573:.
2548:.
2536::
2513:.
2481:.
2456:.
2420:.
2281:D
1913:D
1853:D
1808:τ
1798:δ
1787:t
1785:ε
1779:D
1762:,
1748:t
1740:D
1734:=
1729:e
1725:D
1714:e
1711:D
1690:r
1674:0
1670:D
1647:,
1642:r
1632:e
1626:0
1622:D
1618:=
1615:D
1605:r
1588:2
1585:P
1581:1
1578:P
1572:ρ
1566:D
1549:,
1542:1
1539:P
1529:2
1526:P
1516:=
1509:2
1506:P
1502:D
1496:1
1493:P
1489:D
1426:)
1420:(
1417:g
1392:)
1389:T
1386:(
1380:)
1374:(
1371:g
1368:n
1362:2
1358:/
1354:1
1350:T
1342:0
1338:D
1334:=
1331:D
1299:A
1295:N
1289:B
1285:k
1281:=
1278:R
1252:)
1244:2
1240:M
1236:1
1231:+
1224:1
1220:M
1216:1
1210:(
1205:)
1196:2
1192:R
1187:(
1176:2
1163:8
1159:3
1154:=
1149:0
1145:D
1120:3
1096:n
1071:)
1068:T
1065:(
1059:n
1053:2
1049:/
1045:1
1041:T
1033:0
1029:D
1025:=
1022:D
991:)
988:T
985:(
979:p
973:2
969:/
965:3
961:T
952:D
919:)
914:2
906:+
901:1
893:(
888:2
885:1
880:=
858:p
852:M
846:T
839:)
825:A
821:N
798:b
794:k
768:l
765:o
762:m
758:g
749:s
741:2
737:/
733:3
729:K
721:2
716:m
713:c
703:2
688:m
685:t
682:a
673:3
649:A
643:D
617:2
611:A
607:N
597:2
594:3
588:b
584:k
578:8
575:3
570:=
567:A
546:,
537:2
533:M
529:1
524:+
517:1
513:M
509:1
494:2
481:p
473:2
470:3
465:T
461:A
455:=
452:D
423:μ
417:2
414:T
410:1
407:T
401:D
382:,
373:1
369:T
356:2
352:T
337:2
333:T
327:1
323:T
317:=
308:2
304:T
299:D
291:1
287:T
282:D
228:.
218:R
212:T
202:A
199:E
193:0
190:D
184:D
164:)
157:T
154:R
148:A
144:E
134:(
122:0
118:D
114:=
111:D
34:.
20:)
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