Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential)

Chemical Physics

Volumn 315, Issue 1-2, 2005, Pages 171-182

  Berberan Santos, M N ^a   Bodunov, E N ^b   Valeur, B ^c,d  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b EMPEROR ALEXANDER I ST PETERSBURG STATE TRANSPORT UNIVERSITY   (Russian Federation)

^c Bioinformatique et Chimie Moléculaire   (France)

^d Ecole Normale Superieure de Cachan   (France)

Author keywords

Fluorescence decays; Kinetics; Luminescence; Stretched exponential; Time resolved spectroscopy

Indexed keywords

EID: 23044464822     PISSN: 03010104     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemphys.2005.04.006     Document Type: Article

References (73)

1. B. Valeur Molecular fluorescence. Principles and applications 2002 Wiley-VCH Weinheim
2. J. Huang, and F.V. Bright Appl. Spectrosc. 46 1992 329
3. J.C. Brochon, J. Pouget, and B. Valeur J. Fluoresc. 5 1995 193
4. F.V. Bright, G.C. Catena, and J. Huang J. Am. Chem. Soc. 112 1990 1343
5. J. Huang, and F.V. Bright J. Phys. Chem. 94 1990 8457
6. A. Nakamura, K. Saitoh, and F. Toda Chem. Phys. Lett. 187 1991 110
7. J.C. Brochon, A.K. Livesey, J. Pouget, and B. Valeur Chem. Phys. Lett. 174 1990 517
8. M. Hof, J. Schleicher, and F.W. Schneider Ber. Bunsen. Phys. Chem. 93 1989 1377
9. J. Lee, J. Lee, M. Lee, K.-J.-B. Lee, and D.-S. Ko Chem. Phys. Lett. 394 2004 49
10. J.R. Alcala, E. Gratton, and F.G. Prendergast Biophys. J. 51 1987 587
11. J.R. Alcala, E. Gratton, and F.G. Prendergast Biophys. J. 51 1987 597
12. M.R. Eftink, and C.A. Ghiron Biophys. J. 52 1987 467
13. T. Parasassi, F. Conti, E. Gratton, and O. Sapora Biochim. Biophys. Acta 898 1987 196
14. D.R. James, J.R. Turnbull, B.D. Wagner, W.R. Ware, and N.O. Peterson Biochemistry 26 1987 6272
15. B.W. Williams, and C.D. Stubbs Biochemistry 27 1988 7994
16. J. Siegel, D.S. Elson, S.E.D. Webb, K.C. Benny Lee, A. Vlandas, G.L. Gambaruto, S. Lévêque-Fort, M. John Lever, P.J. Tadrous, G.W.H. Stamp, A.L. Wallace, A. Sandison, T.F. Watson, F. Alvarez, and P.M.W. French Appl. Opt. 42 2003 2995
17. Y.S. Liu, and W.R. Ware J. Phys. Chem. 97 1993 5980
18. A.L. Wong, J.M. Harris, and D.B. Marshall Can. J. Phys. 68 1990 1027
19. H. Wang, and J.M. Harris J. Phys. Chem. 99 1995 16999
20. R. Métivier, I. Leray, J.-P. Lefévre, M. Roy-Auberger, N. Zaner-Szydlowski, and B. Valeur Phys. Chem. Chem. Phys. 5 2003 758
21. A. Siemiarczuk, and W.R. Ware Chem. Phys. Lett. 160 1989 285
22. T. Förster Z. Naturforsch. 4a 1949 321
23. E.N. Bodunov, M.N. Berberan-Santos, E.J. Nunes Pereira, and J.M.G. Martinho Chem. Phys. 259 2000 49
24. M.N. Berberan-Santos, P. Choppinet, A. Fedorov, L. Jullien, and B. Valeur J. Am. Chem. Soc. 121 1999 2526
25. B. Mollay, and H.F. Kauffmann R. Richert A. Blumen Disorder effects on relaxational processes 1994 Springer Berlin 509
26. M.N. Berberan-Santos, E.N. Bodunov, and J.M.G. Martinho Opt. Spectrosc. 89 2000 876
27. E.N. Bodunov, M.N. Berberan-Santos, and J.M.G. Martinho Opt. Spectrosc. 91 2001 694
28. E.N. Bodunov, M.N. Berberan-Santos, and J.M.G. Martinho Chem. Phys. 274 2001 243
29. E.N. Bodunov, M.N. Berberan-Santos, and J.M.G. Martinho J. Luminesc. 96 2002 269
30. E.N. Bodunov, M.N. Berberan-Santos, and J.M.G. Martinho High Energy Chem. 36 2002 245
31. A.K. Livesey, and J.C. Brochon Biophys. J. 52 1987 693
32. A. Siemiarczuk, B.D. Wagner, and W.R. Ware J. Phys. Chem. 94 1990 1661
33. G. Krishnamoorthy, and I. Krishnamoorthy J. Fluoresc. 11 2001 247
34. G. Mei, A.D. Vener, F.D. Matteis, A. Lenzi, and N. Rosato J. Fluoresc. 11 2001 319
35. R. Kohlrausch Ann. Phys. Chem. (Poggendorff) 91 1854 179
36. R. Kohlrausch Ann. Phys. Chem. (Poggendorff) 91 1854 56
37. G. Williams, and D.C. Watts Trans. Faraday Soc. 66 1970 80
38. S.A. Rice C.H. Bamford C.F.H. Tipper R.G. Compton Chemical kinetics vol. 25 1985 Elsevier Amsterdam
39. B.Y. Sveshnikov, and V.I. Shirokov Opt. Spectrosc. 12 1962 576
40. M. Inokuti, and F. Hirayama J. Chem. Phys. 43 1965 1978
41. D.L. Huber, D.S. Hamilton, and B. Barnett Phys. Rev. B 16 1977 4642
42. D.L. Huber Top. Appl. Phys. 49 1981 83
43. J. Klafter, and A. Blumen J. Chem. Phys. 80 1984 875
44. M.N. Berberan-Santos, E.N. Bodunov, and J.M.G. Martinho Opt. Spectrosc. 81 1996 217
45. M.N. Berberan-Santos, E.N. Bodunov, and J.M.G. Martinho Opt. Spectrosc. 87 1999 66
46. G.H. Fredrickson, H.C. Andersen, and C.W. Frank Macromolecules 16 1983 1456
47. G.H. Fredrickson, H.C. Andersen, and C.W. Frank J. Polym. Sci.: Polym. Phys. Ed. 23 1985 591
48. K.A. Petersen, and M.D. Fayer J. Chem. Phys. 85 1986 4702
49. A.K. Roy, and A. Blumen J. Chem. Phys. 91 1989 4353
50. J. Linnros, N. Lalic, A. Galeckas, and V. Grivickas J. Appl. Phys. 86 1999 6128
51. R. Chen J. Luminesc. 102-103 2003 510
52. V.N. Soloviev, A. Eichhöfer, D. Fenske, and U. Banin J. Am. Chem. Soc. 123 2001 2354
53. D.L. Huber J. Luminesc. 86 2000 95
54. A.J. García-Adeva, and D.L. Huber J. Luminesc. 92 2001 65
55. A. Jurlewicz, and K. Weron Cell. Mol. Biol. Lett. 4 1999 55
56. D.M. Jameson, E. Gratton, and R.D. Hall Appl. Spectrosc. Rev. 20 1984 55
57. C.J.F. Böttcher, and P. Bordewijk Theory of electric polarization vol. II 1978 Elsevier
58. J.R. MacDonald J. Appl. Phys. 62 1987 R51
59. I.I. Hirschman Jr., and D.V. Widder Duke Math. J. 15 1948 659
60. I.I. Hirschman Jr., and D.V. Widder Duke Math. J. 17 1950 391
61. F.C. Collins, and G.E. Kimball J. Colloid Sci. 4 1949 425
62. M.J. Pilling, and S.A. Rice J. Chem. Soc., Faraday Trans. 272 1976 792
63. H. Pollard Bull. Am. Math. Soc. 52 1946 908
64. B.D. Wagner, and W. Ware J. Phys. Chem. 94 1990 3489
65. M.N. Berberan-Santos, J. Math. Chem. (2005) in press
66. R. Metzler, J. Klafter, J. Jortner, and M. Volk Chem. Phys. Lett. 293 1998 477
67. C.P. Humbert Bull. Soc. Math. France 69 1945 121
68. P. Lindsey, and G.D. Patterson J. Chem. Phys. 73 1980 3348
69. J.-P. Bouchaud, and A. Georges Phys. Rep. 195 1990 127
70. H.K. Nakamura, M. Sasai, and M. Takano Chem. Phys. 307 2004 259
71. M.N. Berberan-Santos, J. Math. Chem. (2005) in press
72. E. Helfand J. Chem. Phys. 78 1983 1931
73. M. Dishon, J.T. Bendler, and G.H. Weiss J. Res. NISTI 95 1990 433