Solvent control of electron transfer reactions

Advances in Chemical Physics

Volumn 107, Issue , 1999, Pages 81-189

  Raineri, Fernando O ^a   Friedman, Harold L ^a  

^a STONY BROOK UNIVERSITY   (United States)

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EID: 33751015166     PISSN: 00652385     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (257)

1. (a) R. A. Marcus, J. Chem. Phys. 24, 966, 979 (1956);
2. (b) Discuss. Faraday Soc. 29, 21 (1960);
3. (c) R. A. Marcus and N. Sutin, Biochim. Biophys. Acta 811, 265 (1985);
4. (d) R. A. Marcus, Angew. Chem. Int. Ed. Engl. 32, 1111 (1993).
5. (a) N. S. Hush, Trans. Faraday Soc. 57, 557 (1961);
6. (b) Electrochim. Acta 13, 1005 (1968).
7. See also (c) P. P. Schmidt, Electrochemistry, Chemical Society Special Periodic Reports, H. R. Thirsk, ed., Vol. 5, Chap. 2, Academic Press, London, 1977, p. 21.
8. Some relevant papers are: (a) A. Weller, Z. Phys. Chem. N.F. 133, 93 (1982);
9. (b) G. van der Zwan and J. T. Hynes, J. Phys. Chem. 89, 4181 (1985);
10. (c) M. D. Newton and H. L. Friedman, J. Chem. Phys. 88, 4460 (1988);
11. (d) P. F. Barbara and W. Jarzeba, Adv. Photochem. 15, 1, (1990);
12. (e) H. J. Kim and J. T. Hynes, J. Chem. Phys. 96, 5088 (1992);
13. (f) M. Maroncelli, J. Chem. Phys. 106, 1545 (1997).
14. H. L. Friedman, F. O. Raineri, B.-C. Perng, and M. D. Newton, J. Mol. Liq. 65/66, 7 (1995).
15. B.-C. Perng, M. D. Newton, F. O. Raineri, and H. L. Friedman, J. Chem. Phys. 104, 7153 (1996).
16. B.-C. Perng, M. D. Newton, F. O. Raineri, and H. L. Friedman, J. Chem. Phys. 104, 7177 (1996).
17. D. V. Matyushov, Mol. Phys. 84, 533 (1995).
18. H. J. Kim, J. Chem. Phys. 105, 6818 (1996);
19. J. Chem. Phys. 105, 6833 (1996).
20. A. D. Joran, B. A. Leland, P. M. Felker, A. H. Zewail, J. J. Hopfield, and P. B. Dervan, Nature 327, 508 (1987).
21. H. Oevering, M. N. Paddon-Row, M. Heppener, A. M. Oliver, E. Cotsaris, J. Verhoeven, and N. S. Hush, J. Am. Chem. Soc. 109, 3258 (1987);
22. M. Antolovich, P. J. Keyte, A. M. Oliver, M. N. Paddon-Row, J. Kroon, J. W. Verhoeven, S. A. Jonker, and J. M. Warman, J. Phys. Chem. 95, 1933 (1991);
23. J. M. Warman, K. J. Smit, M. P. de Haas, S. A. Jonker, M. N. Paddon-Row, A. M. Oliver, J. Kroon, H. Oevering, and J. W. Verhoeven, J. Phys. Chem. 95, 1979 (1991);
24. J. Kroon, J. W. Verhoeven, M. N. Paddon-Row, and A. M. Oliver, Angew. Chem. Int. Ed. Engl. 30, 1358 (1991);
25. J. M. Warman, K. J. Smit, S. A. Jonker, J. W. Verhoeven, H. Oevering, J. Kroon, M. N. Paddon-Row, and A. M Oliver, Chem. Phys. 170, 359 (1993).
26. (a) T. Asahi, M. Ohkohchi, R. Matsusaka, N. Mataga, R. P. Zhang, A. Osuka, and K. Maruyama, J. Am. Chem. Soc. 115, 5665 (1993);
27. (b) H. Heitele, F. Pollinger, T. Haberle, M. E. Michel-Beyerle, and H. A. Staab, J. Phys. Chem. 98, 7402 (1994).
28. L. Reynolds, J. A. Gardecki, S. J. V. Frankland, M. L. Horng, and M. Maroncelli, J. Phys. Chem. 100, 10337 (1996).
29. S. Pekar, Investigations of the Electric Theory of Crystals, Moscow, 1951;
30. ∞ + 1). See, for example, [3b] and B. S. Brunschwig, S. Ehrenson, and N. Sutin, J. Phys. Chem. 91, 4714 (1987).
31. M. J. Powers and T. J. Meyer, J. Am. Chem. Soc. 100, 4393 (1978);
32. G. E. McMannis, A. Gochev, R. M. Nielson, and M. J. Weaver, J. Phys. Chem. 93, 7733 (1989);
33. R. L. Blackbourn and J. T. Hupp, J. Phys. Chem. 94, 1788 (1990).
34. The nondipolar class of solvents would also include solvents with no permanent multipole moments (e. g., rare gas atoms) or moments of negligible magnitude (presumably most saturated hydrocarbons). We do not consider such species in the applications reported in this work; however, see [7].
35. F. O. Raineri, B.-C. Perng, and H. L. Friedman, Electrochim. Acta 42, 2749 (1977).
36. P. Madden and D. Kivelson, Adv. Chem. Phys 56, 467 (1984).
37. (a) R. F. Loring and S. Mukamel, J. Chem. Phys. 87, 1272 (1987);
38. (b) A. Chandra and B. Bagchi, J. Chem. Phys. 90, 1832 (1989);
39. J. Chem. Phys. 91, 3056 (1989);
40. (c) T. Fonseca and B. M. Ladanyi, J. Chem. Phys. 93, 8148 (1990);
41. P. Attard, D. Wei, and G. N. Patey, Chem. Phys. Lett. 172, 69 (1990).
42. F. O. Raineri, H. Resat, and H. L. Friedman, J. Chem. Phys. 96, 3068 (1992).
43. A. A. Kornyshev, D. A. Kossakowski, and M. A. Vorotyntsev, in Condensed Matter Physics Aspects of Electrochemistry, M. P. Tosi and A. A. Kornyshev, eds., World Scientific, Singapore, 1991.
44. (a) J. D. Jackson, Classical Electrodynamics, Wiley, New York, 1975, Sec. 6.7;
45. (b) P. Mazur, Adv. Chem. Phys. 1, 309 (1958).
46. A. A. Kornyshev, in The Chemical Physics of Solvation, Part A, R. R. Dogonadze, E. Kálmán, A. A. Kornyshev, and J. Ulstrup, eds., Elsevier, Amsterdam, 1985, Chap. 3.
47. For a recent macroscopic treatment, see S. M. Chitanvis, J. Chem. Phys. 104, 9065 (1996).
48. F. O. Raineri, Y. Zhou, H. L. Friedman, and G. Stell, Chem. Phys. 152, 201 (1991).
49. (a) O. V. Dolgov, D. A. Kirzhnitz, and E. G. Maksimov, Rev. Mod. Phys. 53, 81 (1981);
50. (b) D. A. Kirzhnitz, in The Dielectric Function of Condensed Systems, L. V. Keldysh, D. A. Kirzhnitz, and A. A. Maradudin, eds., North-Holland, Amsterdam 1989, Chap. 2;
51. (c) O. V. Dolgov and E. G. Maksimov, The Dielectric Function of Condensed Systems, ibid., Chap. 4.
52. D. Pines and P. Nozières, The Theory of Quantum Liquids, Vol. 1, Addison-Wesley, Reading, Mass., 1989.
53. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids, Clarendon Press, Oxford, 1990 Sec. 1.3.3.
54. J. Applequist, J. Phys. Chem. 97, 6016 (1993).
55. (a) M. Sprik and M. L. Klein, J. Chem. Phys. 89, 7556 (1988);
56. (b) M. Sprik, J. Phys. Chem. 95, 2283 (1991);
57. (c) J. Chem. Phys. 95, 6762 (1991).
58. (a) S. W. Rick, S. J. Stuart, and B. J. Berne, J. Chem. Phys. 101, 6141 (1994);
59. (b) M. H. New and B. J. Berne, J. Am. Chem. Soc. 117, 7172 (1995);
60. (c) S. W. Rick and W. J. Berne, J. Am. Chem. Soc. 118, 672 (1996);
61. (d) J. S. Bader and B. J. Berne, J. Chem. Phys. 104, 1293 (1996);
62. (e) S. J. Stuart and B. J. Berne, J. Phys. Chem. 100, 11934 (1996).
63. (a) R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957);
64. (b) S. W. Lovesey, Condensed Matter Physics: Dynamic Correlations, W. A. Benjamin, Redwood City, Calif., 1980;
65. (c) R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics, Vol. 2, Springer-Verlag, Berlin, 1985;
66. (d) S. Datagupta, Relaxation Phenomena in Condensed Matter Physics, Academic Press, San Diego, Calif., 1987.
67. μ(r).
68. (a) D. Chandler and H. C. Andersen, J. Chem. Phys. 57, 1930 (1972);
69. (b) D. Chandler, in The Liquid State of Matter: Fluids, Simple and Complex, E. W. Montroll and J. L. Lebowitz, eds., North-Holland, Amsterdam, 1982, p. 275.
70. (a) F. Hirata and P. J. Rossky, Chem. Phys. Lett. 83, 329 (1981);
71. (b) F. Hirata, B. M. Pettitt, and P. J. Rossky, J. Chem. Phys. 77, 509 (1982);
72. (c) P. J. Rossky, B. M. Pettitt, and G. Stell, Mol. Phys. 50, 1263 (1983).
73. W. L. Jorgensen and T. B. Nguyen, J. Comput. Chem. 14, 195 (1993).
74. F. O. Raineri, H. L. Friedman, I. Brandariz, and B.-C. Perng, in Electron and Ion Transfer in Condensed Matter, Proceedings of the 1996 Adriatico Research Conference, A. A. Kornyshev, M. P. Tosi, and J. Ulstrup, eds., World Scientific, Singapore, 1997.
75. (a) P. A. Bopp, A. A. Kornyshev, and G. Sutmann, Phys. Rev. Lett. 76, 1280 (1996);
76. (b) M. S. Skaf, Mol. Phys. 90, 25 (1997).
77. A. Warshel, J. Phys. Chem. 86, 2218 (1982);
78. A. Warshel and J.-K. Hwang, J. Chem. Phys. 84, 4938 (1986);
79. J.-K. Hwang and A. Warshel, J. Am. Chem. Soc. 109, 715 (1987).
80. (a) E. A. Carter and J. T. Hynes, J. Phys. Chem. 93, 2184 (1989);
81. J. Chem. Phys. 94, 5961 (1991);
82. (b) M. Tachiya, J. Phys. Chem. 93, 7050 (1989);
83. (c) A. Yoshimori, T. Kakitani, Y. Enomoto, and N. Mataga, J. Phys. Chem. 93, 8316 (1989);
84. T. Kakitani, N. Matsuda, A. Yoshimori, and N. Mataga, Prog. React. Kinet. 20, 347 (1995);
85. (d) H.-X. Zhou and A. Szabo, J. Chem. Phys. 103, 3481 (1995).
86. G. King and A. Warshel, J. Chem. Phys. 93, 8682 (1990).
87. T. Fonseca, B. M. Ladanyi, and J. T. Hynes, J. Phys. Chem. 96, 4085 (1992).
88. Y. Enomoto, T. Kakitani, A. Yoshimori, Y. Hatano, and M. Saito, Chem. Phys. Lett. 178, 235 (1991);
89. Y. Enomoto, T. Kakitani, A. Yoshimori, and Y. Hatano, Chem. Phys. Lett. 186, 366 (1991).
90. V. Pérez, J. M. Lluch, and J. Bertrán, J. Am. Chem. Soc. 116, 10117 (1994).
91. (a) R. A. Kuharski, J. S. Bader, D. Chandler, M. Sprik, M. Klein, and R. Impey, J. Chem. Phys. 89, 3248 (1988);
92. (b) J. S. Bader and D. Chandler Chem. Phys. Lett. 157, 501 (1989).
93. D. V. Matyushov, Chem. Phys. 174, 199 (1993);
94. Mol. Phys. 79, 795 (1993);
95. D. V. Matyushov and R. Schmid, J. Phys. Chem. 98, 5152 (1994).
96. F. O. Raineri, B.-C. Perng, and H. L. Friedman, Z. Phys. Chem. Bd. 204, S.109 (1998).
97. This approach was first exploited by Loring and co-workers in the closely related problem of inhomogeneous broadening in electronic spectra in the liquid phase: (a) R. F. Loring, J. Phys. Chem. 94, 513 (1990);
98. N. E. Shemetulskis and R. F. Loring, J. Chem. Phys. 95, 4756 (1991);
99. B. M. Ladanyi, N. E. Shemetulskis, and R. F. Loring, J. Chem. Phys. 96, 8637 (1992).
100. S. J. Singer and D. Chandler, Mol. Phys. 55, 621 (1985).
101. S.-H. Chong, S.-I. Miura, G. Basu, and F. Hirata, J. Phys. Chem. 99, 10526 (1995);
102. S.-H. Chong and F. Hirata, Mol. Simul. 16, 3, (1996).
103. W. L. Jorgensen, J. D. Madura, and C. J. Swenson, J. Am. Chem. Soc. 106, 6638 (1984).
104. M. D. Newton, K. Ohta, and E. Zhong, J. Phys. Chem. 95, 2317 (1991).
105. D. M. F. Edwards, P. A. Madden, and I. R. McDonald, Mol. Phys. 51, 1151 (1984).
106. G. E. McManis, R. M. Nielson, A. Gochev, and M. J. Weaver, J. Am. Chem. Soc. 111, 5533 (1989).
107. F. O. Raineri, H. Resat, B.-C. Perng, F. Hirata, and H. L. Friedman, J. Chem. Phys. 100, 1477 (1994).
108. F. O. Raineri, B.-C. Perng and H. L. Friedman, Chem. Phys. 183, 187 (1994).
109. H. L. Friedman, F. O. Raineri, F. Hirata, and B.-C. Perng, J. Stat. Phys. 78, 239 (1995).
110. (a) D. Chandler, Y. Singh, and D. M. Richardson, J. Chem. Phys. 81, 1975 (1984);
111. (b) L. R. Pratt and D. Chandler, Methods Enzymol. 127, 48 (1986).
112. ∞ in nondipolar solvents. For a discussion, see (a) D. L. Mills, Nonlinear Optics, Springer-Verlag, Berlin, 1991, Chapter 2;
113. and (b) Y. Kita, K. Kiyohara, M. Oobatake, S. Hayashi, and K. Machida, J. Chem. Phys. 101, 7828 (1994).
114. W. L. Jorgensen and D. L. Severance, J. Am. Chem. Soc. 112, 4768 (1990).
115. B. Roux, H.-A. Yu, and M. Karplus, J. Phys. Chem. 94, 4683 (1990).
116. (a) M. Maroncelli, J. Chem. Phys. 94, 2084 (1991);
117. (b) E. A. Carter and J. T. Hynes, J. Chem. Phys. 94, 5961 (1991);
118. (c) D. K. Phelps, M. J. Weaver, and B. M. Ladanyi, Chem. Phys. 176, 575 (1993).
119. E. M. Kosower, An Introduction to Physical Organic Chemistry, Wiley, New York, 1968.
120. (a) C. Reichardt, Solvents and Solvent Effects in Organic Chemistry, 2nd ed., VCH Publishers, Weinheim, Germany, 1988;
121. (b) Chem. Rev. 94, 2319 (1994).
122. (a) C. Reichardt, Angew. Chem. Int. Ed. Engl. 18, 98 (1979);
123. (b) Chem. Soc. Rev. 14, 147 (1992);
124. (c) C. Reichardt, S. Asharin-Fard, A. Blum, M. Eschner, A.-M. Mehranpour, P. Milart, T. Niem, G. Schäfer, and M. Wilk, Pure Appl. Chem. 65, 2593 (1993).
125. S. E. DeBolt and P. A. Kollman, J. Am. Chem. Soc. 112, 7515 (1990).
126. W. L. Jorgensen, E. E. Laird, T. B. Nguyen, and J. Tirado-Rives, J. Comput. Chem. 14, 206 (1993).
127. J. Chandrasekhar and W. L. Jorgensen, J. Chem. Phys. 77, 5073 (1982).
128. W. L. Jorgensen, J. M. Briggs, and M. L. Contreras, J. Phys. Chem. 94, 1683 (1990).
129. M. Haughney, M. Ferrario, and I. R. McDonald, J. Phys. Chem. 91, 4934 (1987).
130. W. L. Jorgensen, J. Chandrasekhar, J. D. Madura, R. W. Impey, and M. L. Klein, J. Chem. Phys. 79, 926 (1983).
131. (a) W. Liptay, Z. Naturforsch. A 20a, 1441 (1965);
132. Z. Naturforsch. A 21a, 1605 (1966);
133. (b) R. Bicca de Alencastro, J. D. Da Motta Neto, and M. C. Zerner, Int. J. Quant. Chem. Quant. Chem. Symp. 28, 361 (1994).
134. W. L. Jorgensen and C. J. Swenson, J. Am. Chem. Soc. 107, 569 (1985).
135. P. V. Kumar and M. Maroncelli, J. Chem. Phys. 103, 3038 (1995).
136. (a) I. R. Gould, D. Noukakis, L. Gomez-Jahn, J. L. Goodman, and S. Farid, J. Am. Chem. Soc. 115, 4405 (1993);
137. (b) R. Doolen, J. D. Simon, and K. K. Baldridge, J. Phys. Chem. 99, 13938 (1995).
138. W. L. Jorgensen and J. M. Briggs, Mol. Phys. 63, 547 (1988).
139. D. A. Zichi, G. Ciccotti, J. T. Hynes and M. Ferrario, J. Phys. Chem. 93. (1989) 6261.
140. B. B. Smith, A. Staib, and J. T. Hynes, Chem. Phys. 176, 521 (1993).
141. R. R. Dogonadze, A. M. Kuznetsov, and T. A. Marsagishvili, Electrochim. Acta 25, 1 (1980).
142. (a) L. D. Zusman, Chem. Phys. 49, 295 (1980);
143. (b) Chem. Phys. 80, 29 (1983);
144. Chem. Phys. (c) 119, 51 (1988);
145. Chem. Phys. (d) 144, 1 (1990);
146. (f) A. B. Helman, Chem. Phys. 133, 271 (1989).
147. B. L. Tembe, H. L. Friedman, and M. D. Newton, J. Chem. Phys. 76, 1490 (1990).
148. (a) D. F. Calef and P. G. Wolynes, J. Phys. Chem. 87, 3387 (1993);
149. (b) D. F. Calef, in Photoinduced Electron Transfer, Part A, Conceptual Basis, M. A. Fox and M. Chanon, eds., Elsevier, Amsterdam, 1988.
150. (a) H. Sumi and R. A. Marcus, J. Chem. Phys. 84, 4894 (1986);
151. (b) W. Nadler and R. A. Marcus, J. Chem. Phys. 86, 3906 (1987);
152. (c) H. Sumi, J. Phys. Chem. 95, 3334 (1991).
153. J. T. Hynes, J. Phys. Chem. 90, 3701 (1986).
154. (a) I. Rips and J. Jortner, J. Chem. Phys. 87, 2090 (1987);
155. (b) J. Jortner and M. Bixon, J. Chem. Phys. 88, 167 (1988);
156. (c) I. Rips, J. Klafter, and J. Jortner, in Photochemical Energy Conversion, J. R. Norris, Jr. and D. Meisel, eds., Elsevier, Amsterdam, 1988;
157. (d) I. Rips, J. Klafter, and J. Jortner, J. Phys. Chem. 94, 8557 (1990);
158. (c) M. Bixon and J. Jortner, Chem. Phys. 176, 467 (1993).
159. M. Sparpaglione and S. Mukamel, J. Phys. Chem. 91, 3938 (1987);
160. J. Chem. Phys. 88, 3263 (1988);
161. J. Chem. Phys. 88, 4300 (1988);
162. Y. J. Yang, M. Sparpaglione, and S. Mukamel, J. Phys. Chem. 92, 4842 (1988);
163. Y. J. Yang and S. Mukamel, J. Phys. Chem. 93, 6991 (1989);
164. Acc. Chem. Res. 22, 301 (1989).
165. M. Maroncelli, J. MacInnis, and G. R. Fleming, Science, 243, 1674 (1989).
166. (a) E. Akesson, G. C. Walker, and P. F. Barbara, J. Chem. Phys. 95, 4188 (1991);
167. (b) P. F. Barbara, G. C. Walker, and T. P. Smith, Science, 256, 975 (1992);
168. (c) G. C. Walker, E. Akesson, A. E. Johnson, N. E. Levinger, and P. F. Barbara, J. Phys. Chem. 96, 3728 (1992);
169. (d) A. E. Johnson, N. E. Levinger, W. Jarzeba, R. E. Schlief, D. A. V. Kliner, and P. F. Barbara, Chem. Phys. 176, 555 (1993);
170. (e) P. J. Reid and P. F. Barbara, J. Chem. Phys. 99, 3554 (1995).
171. (a) J. Zhu and J. C. Rasaiah, J. Chem. Phys. 95, 3325 (1991);
172. (b) J. Chem. Phys. 96, 1435 (1992);
173. (c) J. C. Rasaiah and J. Zhu, J. Chem. Phys. 98, 1213 (1993);
174. (d) J. Zhu and J. C. Rasaiah, J. Chem. Phys. 101, 9966 (1994).
175. (a) M. J. Weaver and G. E. McManis III, Acc. Chem. Res. 23, 294 (1990);
176. (b) M. J. Weaver, Chem. Rev. 92, 463 (1992);
177. (c) D. K. Phelps and M. J. Weaver, J. Phys. Chem. 96, 7187 (1992);
178. (d) M. J. Weaver, J. Mol. Liq. 60, 57 (1994).
179. H. Heitele, Angew. Chem. Int. Ed. Engl. 32, 359 (1993).
180. P. J. Rossky and J. D. Simon, Nature 370, 263 (1994).
181. (a) S. Roy and B. Bagchi, J. Chem. Phys. 100, 8802 (1994);
182. (b) J. Phys. Chem. 98, 9207 (1994);
183. J. Chem. Phys. 102, 6719 (1995);
184. J. Chem. Phys. (d) 102, 7937 (1995);
185. (e) N. Gayathri and B. Bagchi, J. Mol. Struct. (Teochem) 361, 117 (1996);
186. (f) J. Phys. Chem. 100, 3056 (1996).
187. (a) Z. Wang, J. Tang, and J. R. Norris, J. Chem. Phys. 97, 7251 (1992);
188. (b) J. Tang, J. Chem. Phys. 104, 9408 (1996).
189. A. Samanta and S. K. Gosh, J. Chem. Phys. 102, 3172 (1995);
190. Chem. Phys. 214, 61 (1997).
191. P. F. Barbara, T. J. Meyer, and M. A. Ratner, J. Phys. Chem. 100, 13148 (1996).
192. I. Benjamin and E. Pollak, J. Chem. Phys. 105, 9093 (1996).
193. (a) M. Cho, S. J. Rosenthal, N. F. Scherer, L. D. Ziegler, and G. R. Fleming, J. Chem. Phys. 96, 5033 (1992);
194. (b) R. Jimenez, G. R. Fleming, P. V. Kumar, and M. Maroncelli, Nature 369, (1994) 471;
195. (c) S. J. Rosenthal, R. Jimenez, G. R. Fleming, P. V. Kumar, and M. Maroncelli, J. Mol. Liq. 60, (1994) 25;
196. (d) M. Cho, J.-Y. Yu, T. Joo, Y. Nagasawa, S. A. Passino, and G. R. Fleming, J. Phys. Chem. 100, 11944 (1996);
197. (e) G. R. Fleming and M. Cho, Annu. Rev. Phys. Chem. 47, 109 (1996).
198. (a) S. Kinoshita, J. Chem. Phys. 91, 5175 (1989);
199. (b) H. Murakami, S. Kinoshita, Y. Hirata, T. Okada, and N. Mataga, J. Chem. Phys. 97, 7881 (1992);
200. (c) T. Lian, Y. Kholodenko, and R. M. Hochstrasser, J. Phys. Chem. 99, 2546 (1995);
201. (d) W. P. de Bocij, M. S. Pshenichnikov, and D. A. Wiersma, Chem. Phys. Lett. 247, 264 (1995);
202. (e) J. Phys. Chem. 100, 11806 (1996);
203. (f) J. Chem. Phys. 105, 2953 (1996).
204. M. L. Horng, J. A. Gardecki, A. Papazyan, and M. Maroncelli, J. Phys. Chem. 99, 17311 (1995).
205. For a recent general discussion, see R. M. Stratt and M. Maroncelli, J. Phys. Chem. 100, 7 12981 (1996).
206. M. Maroncelli and G. R. Fleming, J. Chem. Phys. 89, 5044 (1988).
207. O. A. Karim, A. D. J. Haymet, M. J. Banet, and J. D. Simon, J. Phys. Chem. 92, 3391 (1988).
208. (a) R. M. Levy, D. B. Kitchen, J. T. Blair, and K. Krogh-Jespersen, J. Phys. Chem. 94, 4470 (1990);
209. (b) M. Belhadj, D. B. Kitchen, K. Krogh-Jespersen, and R. M. Levy, J. Phys. Chem. 95, 1082 (1991).
210. T. Fonseca and B. M. Ladanyi, J. Phys. Chem. 95, 2116 (1991).
211. M. Bruehl and J. T. Hynes, J. Phys. Chem. 96, 4068 (1992).
212. (a) L. Perera and M. Berkowitz, J. Chem. Phys. 96, 3092 (1992);
213. (b) E. Neria and A. Nitzan, J. Chem. Phys. 96, 5433 (1992).
214. M. Maroncelli, P. V. Kumar, A. Papazyan, M. L. Horng, S. J. Rosenthal, and G. R. Fleming, in Ultrafast Reaction Dynamics and Solvent Effects, Proceedings of the International Workshop held in Abbaye de Royaumont, France, May 1993.
215. T. Fonseca and B. M. Ladanyi, J. Mol. Liq. 60, 1, (1994).
216. P. L. Muino and P. Callis, J. Chem. Phys. 100, 4093 (1994).
217. R. Olender and A. Nitzan, J. Chem. Phys. 102, 7180 (1995).
218. B. D. Bursulaya, D. A. Zichi, and H. J. Kim, J. Phys. Chem. 99, 10069 (1995).
219. M. S. Skaf and B. M. Ladanyi, J. Phys. Chem. 100, 18258 (1996).
220. B. M. Ladanyi and R. M. Stratt, J. Phys. Chem. 100, 1266 (1996).
221. For recent references along these lines, see (a) R. Biswas and B. Bagchi, J. Phys. Chem. 100, 1238 (1996);
222. (b) A. Chandra, D. Wei, and G. N. Patey, J. Chem. Phys. 99, 4926 (1993); and the references to previous work by these authors cited therein.
223. X. Song, D. Chandler, and R. A. Marcus, J. Phys. Chem. 100, 11954 (1996).
224. S. Mukamel, Principles of Nonlinear Optical Spectroscopy, Oxford University Press, New York, 1995, Chap. 2.
225. F. O. Raineri, H. L. Friedman, and B.-C. Perng, J. Mol. Liq., 73,74, 419 (1997).
226. (a) H. Resat, F. O. Raineri, and H. L. Friedman, J. Chem. Phys. 97, 2618 (1992);
227. (b) J. Chem. Phys. 98, 7277 (1993).
228. H. L. Friedman, F. O. Raineri, and H. Resat, in Molecular Liquids: New Perspectives in Physics and Chemistry, J. J. C. Teixeira-Dias, ed., Kluwer, Dotdrecht, The Netherlands, 1995.
229. J. Yu, T. J. Kang, and M. Berg, J. Chem. Phys. 94, 5787 (1994);
230. T. J. Kang, J. Yu, and M. Berg, Chem. Phys. Lett. 174, 476 (1991);
231. J. T. Fourkas and M. Berg, J. Chem. Phys. 98, 7773 (1993);
232. J. T. Fourkas, A. Benigno, and M. Berg, J. Chem. Phys. 99, 8552 (1993).
233. B. Bagchi, J. Chem. Phys. 100, 6658 (1994).
234. F. Hirata, T. Munakata, F. O. Raineri, and H. L. Friedman, Mol. Liq. 65/66, 15 (1995).
235. F. Hirata, J. Chem. Phys. 96, 4619 (1992).
236. D. F. Calef and P. G. Wolynes, J. Chem. Phys. 78, 4145 (1983).
237. F. O. Raineri, F. Hirata, and H. L. Friedman, unpublished results.
238. F. O. Raineri and H. L. Friedman, J. Chem. Phys. 101, 6111 (1994).
239. M. Tokuyama and H. Mori, Prog. Theor. Phys. 55, 411 (1975).
240. M. Maroncelli, P. V. Kumar, and A. Papazyan, J. Phys. Chem. 97, 13 (1993).
241. Another attempt at a justification of Eq. (8.34) may be found in S. Roy and B. Bagchi, Chem. Phys. 183, 207 (1994).
242. C. F. Chapman, R. S. Fee, and M. Maroncelli, J. Phys. Chem. 99, 4811 (1995).
243. H. Mori, Prog. Theor. Phys. 33, 423 (1965).
244. B. J. Berne, in Physical Chemistry: An Advanced Treatise, D. Henderson, ed., Academic Press, San Diego, Calif., 1971.
245. F. H. Stillinger and A. Rahman, J. Chem. Phys. 60, 1545 (1974).
246. M. Neumann, J. Chem. Phys. 85, 1567 (1986).
247. M. Maroncelli, J. Mol. Liq. 57, 1, (1993).
248. M. Skaf, T. Fonseca, and B. M. Ladanyi, J. Chem. Phys. 98, (1993) 8929.
249. T. J. Kang, W. Jarzeba, P. F. Barbara, and T. Fonseca, Chem. Phys. 149, (1990), 81.
250. F. O. Raineri, H. L. Friedman, B.-C. Perng, and I. Brandariz, in Fentochemistry: Ultrafast Chemical and Physical Processes in Molecular Systems, M. Chergui, ed., World Scientific, Singapore, 1996.
251. D. Bingermann and N. P. Ernsting, J. Chem. Phys. 102, 2691 (1995).
252. C. W. Gardiner, Handbook of Stochastic Methods, Springer-Verlag, Berlin, 1994.
253. R. F. Fox, Phys. Rep. 48, 181 (1978).
254. R. L. Fulton, Mol. Phys. 29, 405 (1975);
255. J. Chem. Phys. 62, 4355 (1975);
256. J. Chem. Phys. 63, 77 (1975).
257. L. Fried and S. Mukamel, J. Chem. Phys. 93, 932 (1990).