Unified theory on rates for electron transfer mediated by a midway molecule, bridging between superexchange and sequential processes

Journal of Physical Chemistry B

Volumn 105, Issue 39, 2001, Pages 9603-9622

  Sumi, Hitoshi ^a   Kakitani, Toshiaki ^b  

^a UNIVERSITY OF TSUKUBA   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

THERMALIZATION;

BACTERIA; CHARGE TRANSFER; CHLOROPHYLL; MONOMERS; MORPHOLOGY; PHONONS; PHOTOSYNTHESIS; QUANTUM THEORY; RAMAN SCATTERING; RATE CONSTANTS;

MOLECULAR DYNAMICS;

EID: 0035807654     PISSN: 10895647     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp010018b     Document Type: Article

References (67)

1. Review articles: Balzani, V. Electron Transfer in Chemistry; Wiley-VCH: Weinheim, 2001; Vol. 1-5.
2. A review article: Sumi, H. In Electron Transfer in Chemistry Balzani, V., Ed.; Wiley-VCH: Weinheim, 2001; Vol. 1 (Principles, Theories, Techniques and Methods), p 64.
3. Review articles: (a) Bixon, M.; Jortner, J. Adv. Chem. Phys. 1999, 106, 35.
4. (b) Page, C.C.; Moser, C.C.; Chen, X.; Dutton, P.L. Nature 1999, 402, 47.
5. Review articles: (a) Blankenship, R.E.; Madigan, M.T.; Bauer, C.E. Anoxygenic Photosynthetic Bacteria; Kluwer: Dordrecht, 1995.
6. (b) Hoff, A.J.; Deisenhofer, J. Phys. Rep. 1997, 287, 1.
7. For example, Closs, G.L.; Miller, J.R. Science 1988, 240, 440.
8. Kramers, H.A. Physica 1934, 1, 182.
9. (a) Barbara, P.; Olson, E.J. J. Adv. Chem. Phys. 1999, 106, 647.
10. (b) Bixon, M.; Giese, B.; Wessely, S.; Langenbacher, T.; Michel-Beyerle, M.E.; Jortner, J. Proc. Natl. Acad. Sci. U.S.A. 1999, 96, 11713.
11. (a) Skourtis, S.S.; Beratan, D.N. Adv. Chem. Phys. 1999, 106, 377.
12. (b) Regan, J.J.; Onuchic, J.N. Adv. Chem. Phys. 1999, 108, 497.
13. (c) Kawatsu, T.; Kakitani, T.; Yamato, T. Inorg. Chim. Acta 2000, 300-302, 862.
14. Plato, M.; Michel-Beyerle, M.E.; Bixon, M.; Jortner, J. FEBS Lett. 1989, 249, 70.
15. (a) Hu, Y.; Mukamel, S. Chem. Phys. Lett. 1989, 160, 410; J. Chem. Phys. 1989, 91, 6973.
16. (a) Hu, Y.; Mukamel, S. Chem. Phys. Lett. 1989, 160, 410; J. Chem. Phys. 1989, 91, 6973.
17. (b) Kühn, O.; Rupasov, V.; Mukamel, S. J. Chem. Phys. 1996, 104, 5821.
18. Kharkats, Y.I.; Kuznetsov, A.M.; Ulstrup, J. J. Phys. Chem. 1995, 99, 13545.
19. (a) Sumi, H.; Kakitani, T. Chem. Phys. Lett. 1996, 252, 85.
20. (b) A preliminary report of the present formulation. Sumi, H. J. Electroanal. Chem. 1997, 438, 11.
21. (a) Toyozawa, Y. J. Phys. Soc. Jpn. 1976, 41, 400.
22. (b) Toyozawa, Y.; Kotani, A.; Sumi, A. J. Phys. Soc. Jpn. 1977, 42, 1495.
23. Kotani, A.; Toyozawa, Y. J. Phys. Soc. Jpn. 1976, 41, 1699.
24. (a) Hizhnyakov, V.; Tehver, I. Phys. Status Solidi 1967, 21, 755; 1970, 39, 67.
25. (a) Hizhnyakov, V.; Tehver, I. Phys. Status Solidi 1967, 21, 755; 1970, 39, 67.
26. (b) Sov. Phys. JETP 1975, 42, 305.
27. See also, Kurita, H.; Sakai, O.; Kotani, A. J. Phys. Soc. Jpn. 1980, 49, 1920.
28. Nitzan, A.; Jortner, J.; Wilkie, J.; Burin, A.L.; Ratner, M.A. J. Phys. Chem. B 2000, 104, 5661.
29. Sumi, H. J. Phys. Soc. Jpn. 1982, 51, 1745; Phys. Rev. Lett. 1983, 50, 1709.
30. Sumi, H. J. Phys. Soc. Jpn. 1982, 51, 1745; Phys. Rev. Lett. 1983, 50, 1709.
31. Egger, R.; Mak, C.H. J. Phys. Chem. 1994, 98, 9903.
32. Bixon, M.; Jortner, J. J. Chem. Phys. 1997, 107, 5154.
33. (a) Bixon, M.; Jortner, J.; Michel-Beyerle, M.E. Biochim. Biophys. Acta 1991, 1056, 301.
34. (b) Chan, C.-K.; DiMagno, T.J.; Chen, L.X.-Q.; Norris, J.R.; Fleming, G.R. Biophysics 1991, 88, 11202.
35. (c) Joseph, J.S.; Bialek, W. J. Phys. Chem. 1993, 97, 3245.
36. (d) Nagarajan, V.; Parson, W.W.; Davis, D.; Schenck, C.C. Biochemistry 1993, 32, 12324.
37. (e) Bixon, M.; Jortner, J.; Michel-Beyerle, M.E. Chem. Phys. 1995, 197, 389.
38. (f) Zusman, L.D.; Beratan, D.N. J. Chem. Phys. 1999, 110, 10468.
39. (g) Okada, A.; Bandyopadhay, T. J. Chem. Phys. 1999, 111, 1137.
40. Kimura, A.; Kakitani, T. Chem. Phys. Lett. 1998, 298, 241.
41. (a) Lyle, P.A.; Kolaczkowski, S.V.; Small, G.L. J. Phys. Chem. 1993, 97, 6924.
42. (b) Ahn, J.S.; Kanematsu, Y.; Enomoto, M.; Kushida, T. Chem. Phys. Lett. 1995, 215, 336.
43. Abramowitz, M.; Stegun, I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables; Dover: New York, 1965.
44. m.
45. For example, see: Messiah, A. Mécanique Quantique; Dunod; Paris, 1959.
46. (a) Schmidt, S.; Arlt, T.; Hamm, P.; Huber, H.; Nägele, T.; Wachtveitl, J.; Meyer, M.; Scheer, H.; Zinth, W. Chem. Phys. Lett. 1994, 223, 116.
47. (b) Schmidt, S.; Arlt, T.; Hamm, P.; Huber, H.; Nägele, T.; Wachtveitl, J.; Zinth, W.; Meyer, M.; Scheer, H. Spectrochim. Acta, Part A 1995, 51, 1565.
48. (c) Huber, H.; Meyer, M.; Scheer, H.; Zinth, W.; Wachtveitl, J. Photosynth. Res. 1998, 55, 153.
49. (d) Spörlein, S.; Zinth, W.; Meyer, M.; Scheer, H.; Wachtveitl, J. Chem. Phys. Lett. 2000, 322, 454.
50. Ogrodnik, A.; Keupp, W.; Volk, M.; Aumeier, G.; Michel-Beyerle, M.E. J. Phys. Chem. 1994, 98, 3432.
51. Toyozawa, Y. In Dynamical Processes in Solid State Optics; Kubo, R., Kamimura, H., Eds.; Shokabo: Tokyo, 1967; p 90.
52. Fleming, G.R.; Martin, J.-L.; Breton, J. Nature 1988, 333, 190.
53. Nakashima, S.; Seike, K.; Nagasawa, Y.; Okada, T.; Sato, M.; Kohzuma, T. J. Chin. Chem. Soc. 2000, 47, 693; Chem. Phys. Lett. 2000, 331, 396.
54. Nakashima, S.; Seike, K.; Nagasawa, Y.; Okada, T.; Sato, M.; Kohzuma, T. J. Chin. Chem. Soc. 2000, 47, 693; Chem. Phys. Lett. 2000, 331, 396.
55. (a) Scherer P.O.J.; Fischer S.F. Chem. Phys. 1989, 131, 115.
56. (b) Scherer, P.O.J.; Scharnagl, C.; Fischer, S.F. Chem. Phys. 1995, 197, 333.
57. (c) Scherer, P.O.J.; Fischer, S.F. Spectrochim. Acta, Part A 1998, 54, 1191.
58. Nakagawa, H.; Okada, T.; Koyama, Y. Biospectroscopy 1995, 1, 169.
59. Hasegawa, J.; Nakatsuji, H. J. Chem. Phys. B 1998, 102, 10420.
60. For most recent example, see: Chang, C.H.; Hayashi, M.; Liang, K.K.; Chang, R.; Lin, S.H. J. Phys. Chem. B 2001, 105, 1216, and references therein.
61. Michel-Beyerle, M.E.; et al. Private communication, 1996. See also Fig.51 in ref 3a as reproduction of one of their main results.
62. Huber, H.; Meyer, M.; Nägele, T.; Hartl, I.; Scheer, H.; Zinth, W. Chem. Phys. 1995, 197, 297.
63. (a) Allen, J.P.; Williams, J.C. J. Bioenerg. Biomembr. 1995, 27, 275.
64. (b) Woodbury, N.W.; Lin, S.; Lin, X.; Peloquin, J.M.; Taguchi, A.K.W.; Williams, J.C.; Allen, J.P. Chem. Phys. 1995, 197, 405.
65. (c) Mattiolli, T.A.; Lin, X.; Allen, J.P.; Williams, J.C. Biochemistry 1995, 34, 6142.
66. Artz, K.; Williams, J.C.; Allen, J.P.; Lendzian, F.; Rautter, J.; Lubitz, W. Proc. Natl. Acad. Sci. U.S.A. 1997, 94, 13582.
67. 3,4,27c,d The present formula eq 5.30 gives the rate constant in each single unit, but it varies little by little from a unit to a unit. In these situations, the time decay of the observed survival probability at the donor state should become multiexponential. The initial rate of the decay is given by the average of the rate constants of individual units. The first passage time is given by the average of the reaction times of individual units. The inverse of the first passage time gives the average rate constant. In this way, eq 5.30 enables us to obtain fundamental physical quantities of the system under investigation, in these cases.