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Angewandte Chemie International Edition in English (311)
Abstract

AbstractElectron‐transfer processes in solution are among the most important reactions in chemistry and biology. The huge number of redox reactions of transition metal ions and complexes, many preparatively important oxidations and reductions of organic compounds, photosynthesis, and metabolism are only a few examples where electron‐transfer reactions play a pivotal role. This ubiquity, as well as their relative simplicity, makes them excellent models for the study on a molecular level of chemical reactions in solution. A particularly important question in chemical reaction dynamics in solution is the influence of the solvent on the reaction rate. In this context one distinguishes between static and dynamic solvent effects. Static effects refer to the stabilization of reactants, transition state, and products, that is, how the solvent affects the free energies of these species and the energy of activation. This interpretation of solvent effects on all kinds of chemical reactions is well established. A more recent development is the investigation of the influence of solvent dynamics on the rate of a reaction. The transfer of an electron is usually thought to be triggered by a fluctuation of the dielectric polarization in the surrounding solvent. The dynamics of such fluctuations is determined by the finite response time of the orientational polarization of the solvent. Under certain conditions this dielectric response time can become the rate‐determining factor of the reaction. In this article I intend to give a review of these modern developments in the theory and experimental study of electron‐transfer processes. We shall see that solvent dynamics may lead to a whole plethora of phenomena in reaction dynamics. The concepts needed for their description are not limited to electron transfer but bear relevance to many other chemical reactions in solution.

Bibliography

Heitele, H. (1993). Dynamic Solvent Effects on Electron‐Transfer Reactions. Angewandte Chemie International Edition in English, 32(3), 359–377. Portico.

Authors 1
  1. Hans Heitele (first)
References 230 Referenced 275
  1. 10.1007/978-3-642-93116-1
  2. {'key': 'e_1_2_1_2_2', 'volume-title': 'Electron Transfer Reactions', 'author': 'Cannon R. D.', 'year': '1980'} / Electron Transfer Reactions by Cannon R. D. (1980)
  3. {'key': 'e_1_2_1_3_2', 'volume-title': 'Supramolecular Photochemistry', 'author': 'Balzani V.', 'year': '1991'} / Supramolecular Photochemistry by Balzani V. (1991)
  4. 10.1002/ange.19840960504
  5. 10.1002/anie.198403293
  6. 10.1146/annurev.pc.35.100184.002253
  7. 10.1016/0304-4173(85)90014-X
  8. 10.1021/cr00077a007
  9. 10.1002/9780470166314.ch6
  10. 10.1002/9780470166314.ch8
  11. 10.1002/9780470166314.ch9
  12. 10.1007/3-540-52379-0_2
  13. 10.1007/3-540-52568-8_3
  14. {'key': 'e_1_2_1_11_2', 'volume-title': 'Photoinduced Electron Transfer. Part A‐D', 'author': 'Fox M. A.', 'year': '1988'} / Photoinduced Electron Transfer. Part A‐D by Fox M. A. (1988)
  15. J. S.Connolly J. R.Boltonin [11] Part D p. 303.
  16. 10.1021/ja00290a066
  17. 10.1021/ja00002a076
  18. 10.1021/j100407a039
  19. 10.1021/j100158a031
  20. 10.1016/0009-2614(90)85369-N
  21. 10.1021/j100158a014
  22. 10.1021/j100168a027
  23. 10.1021/ja00339a009
  24. 10.1126/science.3016897
  25. 10.1002/9780470166390.ch5
  26. 10.1002/9780470166338.ch5
  27. 10.1021/ja00170a039
  28. 10.1021/j100370a005
  29. 10.1038/320615a0
  30. 10.1021/ja00245a014
  31. 10.1038/327508a0
  32. 10.1016/0009-2614(87)87135-X
  33. 10.1021/ja00192a044
  34. M. R.Wasielewskiin [11] Part A p. 161.
  35. 10.1021/cr00005a007
  36. 10.1021/ja00482a013
  37. 10.1021/ja00524a011
  38. 10.1524/zpch.1982.133.1.093
  39. 10.1002/bbpc.19840880403
  40. 10.1021/ja00307a052
  41. 10.1039/f19898501027
  42. 10.1021/j100350a030
  43. 10.1016/0301-0104(90)89109-4
  44. 10.1016/0009-2614(90)85679-7
  45. {'key': 'e_1_2_1_32_2', 'first-page': '1', 'volume': '17', 'author': 'Burgess J.', 'year': '1992', 'journal-title': 'Prog. React. Kinet.'} / Prog. React. Kinet. by Burgess J. (1992)
  46. {'key': 'e_1_2_1_33_2', 'volume-title': 'Inorganic Chemistry', 'author': 'Purcell K. F.', 'year': '1977'} / Inorganic Chemistry by Purcell K. F. (1977)
  47. {'key': 'e_1_2_1_33_3', 'volume-title': 'Advanced Inorganic Chemistry', 'author': 'Cotton F. A.', 'year': '1988'} / Advanced Inorganic Chemistry by Cotton F. A. (1988)
  48. 10.1016/S0031-8914(40)90098-2
  49. 10.1016/0301-0104(80)85267-0
  50. 10.1016/0301-0104(88)80005-3
  51. 10.1016/0301-0104(90)80067-8
  52. 10.1021/j100241a008
  53. 10.1063/1.449017
  54. 10.1063/1.451952
  55. 10.1021/j100334a007
  56. 10.1063/1.453184
  57. 10.1063/1.453434
  58. 10.1016/0009-2614(87)87092-6
  59. 10.1063/1.454632
  60. 10.1063/1.450804
  61. 10.1063/1.451951
  62. 10.1016/0009-2614(88)87083-0
  63. 10.1002/ijch.199000008
  64. 10.1039/dc9827400073
  65. 10.1063/1.453804
  66. 10.1021/j100407a044
  67. 10.1016/0301-0104(82)85203-8
  68. 10.1063/1.453922
  69. 10.1021/j100328a010
  70. 10.1063/1.454570
  71. 10.1063/1.455347
  72. 10.1063/1.456427
  73. 10.1063/1.457514
  74. 10.1021/j100209a016
  75. 10.1063/1.449981
  76. 10.1039/dc9827400161
  77. 10.1016/0009-2614(83)80726-X
  78. 10.1016/0009-2614(88)87082-9
  79. 10.1016/0009-2614(88)80056-3
  80. 10.1016/0301-0104(90)80105-7
  81. 10.1021/j100334a060
  82. 10.1016/0301-0104(90)80131-G
  83. 10.1021/j100178a039
  84. 10.1063/1.460774
  85. 10.1126/science.256.5059.975
  86. 10.1063/1.462384
  87. 10.1016/0009-2614(85)80944-1
  88. 10.1021/j100259a018
  89. 10.1021/j100282a029
  90. 10.1021/ja00197a004
  91. 10.1021/j100323a026
  92. 10.1016/0009-2614(88)85132-7
  93. 10.1021/j100368a001
  94. 10.1016/0009-2614(84)80546-1
  95. 10.1002/bbpc.199000029
  96. 10.1002/bbpc.19910950811
  97. 10.1016/0009-2614(87)80374-3
  98. 10.1016/0301-0104(89)80251-4
  99. 10.1016/0009-2614(92)85043-A
  100. {'key': 'e_1_2_1_76_2', 'first-page': '107', 'volume': '170', 'author': 'Rempel U.', 'year': '1991', 'journal-title': 'Z. Phys. Chem.'} / Z. Phys. Chem. by Rempel U. (1991)
  101. 10.1016/0009-2614(91)85142-J
  102. 10.1126/science.243.4899.1674
  103. 10.1021/ar00147a006
  104. 10.1021/ar00177a005
  105. 10.1002/9780470133453.ch1
  106. 10.1146/annurev.pc.40.100189.000555
  107. 10.1126/science.4012322
  108. 10.1063/1.451942
  109. D. F.Calef in [11] Part A p. 362.
  110. In fact two different ways to partition the full Hamiltonian into zerothorder and perturbation parts for reactants and products each are presumed to exist [1 5 26].
  111. 10.1021/j100363a009
  112. 10.1063/1.459255
  113. 10.1021/ja00237a013
  114. 10.1126/science.2675313
  115. 10.1063/1.458785
  116. 10.1146/annurev.pc.42.100191.001431
  117. 10.1063/1.454929
  118. 10.1021/j100354a001
  119. 10.1021/j100343a002
  120. 10.1063/1.460431
  121. A difficult question is whether the equilibrium averaging in equation (3) of the solvent configuration (X) remains meaningful even in a dynamic process far from equilibrium. Eventually nonequilibrium dynamics has to be treated explicitly on higher dimensional (free) energy surfaces for example along the lines of Section 4.
  122. A harmonic free energy surfaceF(q) corresponds to a Gaussian probability distributionP(q) in equation (3). Its force constantfsis determined by the width of the Gaussianfs=kBT/<(q‐ <q>)2>; the effective massMis defined through the equipartition theoremM=kBT/〈(∂q/∂t‐ 〈∂q/∂t〉)2〉 where the brackets 〈〉 indicate equilibrium averages [95].
  123. {'key': 'e_1_2_1_98_2', 'first-page': '988', 'volume': '24', 'author': 'Marcus R. A.', 'year': '1956', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. by Marcus R. A. (1956)
  124. 10.1063/1.1696792
  125. 10.1039/tf9615700557
  126. {'key': 'e_1_2_1_100_2', 'volume-title': 'Basic Chemical Kinetics', 'author': 'Eyring H.', 'year': '1980'} / Basic Chemical Kinetics by Eyring H. (1980)
  127. 10.1021/j100238a003
  128. 10.1103/RevModPhys.62.251
  129. 10.1016/0301-0104(91)80038-J
  130. There are other conventions for γ1zdiffering from equation (7) by factors of 2 π/2 √π/2 etc.
  131. The justification of the factor of π requires an explicit quantum‐mechanical calculation of the transition probability for a single crossing of the LZ region [100 106]. The factor of 2 accounts for the fact that in a nonadiabatic reaction the system usually crosses the LZ region twice: once on the way up the reactant PES and unless a transition has occurred during the first crossing once on the return trip each contributing πγ1zto the overall transition probability P for a successful reaction.
  132. {'key': 'e_1_2_1_106_2', 'first-page': '88', 'volume': '1', 'author': 'Landau L.', 'year': '1932', 'journal-title': 'Phys. Z. Sovietunion'} / Phys. Z. Sovietunion by Landau L. (1932)
  133. {'key': 'e_1_2_1_106_3', 'first-page': '46', 'volume': '2', 'year': '1932', 'journal-title': 'Phys. Z. Sovietunion'} / Phys. Z. Sovietunion (1932)
  134. 10.1098/rspa.1932.0165
  135. 10.1098/rspa.1933.0095
  136. {'key': 'e_1_2_1_107_2', 'first-page': '249', 'volume': '4', 'author': 'Levich V. O.', 'year': '1966', 'journal-title': 'Adv. Electrochem. Electrochem. Eng.'} / Adv. Electrochem. Electrochem. Eng. by Levich V. O. (1966)
  137. {'key': 'e_1_2_1_107_3', 'first-page': '1189', 'volume': '3', 'author': 'Dogonadze R. R.', 'year': '1967', 'journal-title': 'Sov. Electrochem. (Engl. Transl.)'} / Sov. Electrochem. (Engl. Transl.) by Dogonadze R. R. (1967)
  138. 10.1016/0301-0104(74)80017-0
  139. 10.1021/j100614a017
  140. 10.1063/1.431152
  141. 10.1063/1.432142
  142. 10.1063/1.447418
  143. The Landau‐Zener probabilityplzis the transition probability upon a single crossing of the LZ region for arbitrary γlz. The derivation of the geometric series is a generalization of the argument in [105]: After an unsuccessful crossing of the LZ region on the way up the reactant PES the system may be trapped above the crossing point by repeated hopping between the diabatic PESs on the way down. The overall transition probability is the sum over all transition probabilities for an arbitrary numbernof hops:P=plz+ (1‐plz)plz(1‐plz) + …︁ + (1‐plz)p(1‐plz) + …︁ = 2plz/(1 + plz). See for example [1]
  144. 10.1016/0003-4916(59)90003-X
  145. Yet the LZ transition probability is only valid between one‐dimensional PESs. Its application to FESs must be seen in the spirit of the remark in [109].
  146. 10.1103/RevModPhys.15.1
  147. 10.1007/978-3-662-02377-8
  148. {'key': 'e_1_2_1_112_2', 'first-page': '171', 'volume-title': 'Theory of Chemical Reaction Dynamics', 'author': 'Hynes J. T.', 'year': '1985'} / Theory of Chemical Reaction Dynamics by Hynes J. T. (1985)
  149. 10.1002/9780470142639.ch2
  150. 10.1002/9780470142776.ch2
  151. {'key': 'e_1_2_1_114_2', 'volume-title': 'Polar Molecules', 'author': 'Debye P.', 'year': '1929'} / Polar Molecules by Debye P. (1929)
  152. {'key': 'e_1_2_1_114_3', 'volume-title': 'Theory of Dielectrics', 'author': 'Fröhlich H.', 'year': '1949'} / Theory of Dielectrics by Fröhlich H. (1949)
  153. {'key': 'e_1_2_1_115_2', 'volume-title': 'Theory of Electric Polarization', 'author': 'Böttcher C. F.', 'year': '1978'} / Theory of Electric Polarization by Böttcher C. F. (1978)
  154. 10.1039/f29837901465
  155. 10.1021/j100356a029
  156. 10.1021/ja00224a011
  157. 10.1063/1.455719
  158. 10.1002/9780470142868.ch9
  159. J. Stat. Phys. 1986 42 1/2
  160. Ber. Bunsenges. Phys. Chem. 1991 95 3
  161. 10.1021/j100324a007
  162. This back scattering is classical and unrelated to quantum‐mechanical resonance and coherence phenomena in barrier‐crossing problems. Although such effects have been discussed in connection with friction [40] they should be limited to very special cases unlikely to be encountered in systems of interest here.
  163. 10.1016/0009-2614(74)80325-8
  164. 10.1021/j100158a011
  165. 10.1063/1.459596
  166. 10.1063/1.440485
  167. 10.1063/1.449172
  168. 10.1063/1.450425
  169. 10.1063/1.456837
  170. 10.1063/1.449892
  171. 10.1063/1.456117
  172. 10.1016/0009-2614(89)87013-7
  173. 10.1063/1.456957
  174. 10.1021/j100364a004
  175. 10.1007/978-94-009-0489-7_22
  176. 10.1063/1.444643
  177. 10.1080/00268978800101641
  178. 10.1080/00268979000101911
  179. 10.1063/1.444472
  180. 10.1063/1.452632
  181. 10.1063/1.453920
  182. 10.1063/1.454811
  183. 10.1063/1.454901
  184. 10.1063/1.456727
  185. 10.1016/0301-0104(91)80044-I
  186. 10.1016/0009-2614(83)87496-X
  187. 10.1063/1.459786
  188. 10.1063/1.461742
  189. 10.1063/1.462746
  190. 10.1063/1.455649
  191. 10.1063/1.459932
  192. 10.1021/j100170a010
  193. {'key': 'e_1_2_1_141_2', 'first-page': '751', 'volume': '63', 'author': 'Vij J. K.', 'year': '1985', 'journal-title': 'Adv. Chem. Phys.'} / Adv. Chem. Phys. by Vij J. K. (1985)
  194. 10.1021/j100888a033
  195. 10.1063/1.1747496
  196. 10.1063/1.1748105
  197. 10.1016/0301-0104(91)80034-F
  198. 10.1063/1.454020
  199. 10.1063/1.456520
  200. 10.1063/1.452249
  201. 10.1063/1.452460
  202. 10.1021/j100295a008
  203. 10.1016/0301-0104(91)80041-F
  204. 10.1016/0009-2614(83)87503-4
  205. 10.1016/0009-2614(87)87100-2
  206. 10.1016/0009-2614(88)85039-5
  207. 10.1016/0009-2614(90)80020-E
  208. 10.1021/j100266a008
  209. 10.1021/j100330a026
  210. 10.1021/j100374a037
  211. 10.1063/1.455436
  212. 10.1063/1.457651
  213. 10.1002/9780470142967.ch1
  214. 10.1016/0009-2614(92)90021-E
  215. 10.1016/0009-2614(89)87364-6
  216. 10.1021/j100372a055
  217. 10.1016/0301-0104(89)80225-3
  218. 10.1021/ja00241a007
  219. {'key': 'e_1_2_1_158_3', 'first-page': '223', 'volume-title': 'The Chemical Physics of Solvation, Part B', 'author': 'Itskovich E. M.', 'year': '1986'} / The Chemical Physics of Solvation, Part B by Itskovich E. M. (1986)
  220. 10.1002/9780470166093.ch7
  221. 10.1002/9780470166314.ch1
  222. 10.1021/ja00251a001
  223. 10.1021/j100407a046
  224. L. A.Worl R.Duesing P.Chen L. DellaCiana T. J.Meyer J. Chem. Soc. Dalton Trans.1991 849; (10.1039/dt9910000849)
  225. 10.1021/j100154a013
  226. 10.1021/ja00185a062
  227. 10.1146/annurev.pc.38.100187.001115
  228. 10.1021/cr00003a007
  229. 10.1063/1.459437
  230. 10.1063/1.455864
Dates
Type When
Created 21 years, 7 months ago (Dec. 30, 2003, 5:01 p.m.)
Deposited 1 year, 9 months ago (Oct. 24, 2023, 7:46 p.m.)
Indexed 2 days, 3 hours ago (Aug. 20, 2025, 9 a.m.)
Issued 32 years, 5 months ago (March 1, 1993)
Published 32 years, 5 months ago (March 1, 1993)
Published Online 21 years, 8 months ago (Dec. 22, 2003)
Published Print 32 years, 5 months ago (March 1, 1993)
Funders 0

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@article{Heitele_1993, title={Dynamic Solvent Effects on Electron‐Transfer Reactions}, volume={32}, ISSN={0570-0833}, url={http://dx.doi.org/10.1002/anie.199303591}, DOI={10.1002/anie.199303591}, number={3}, journal={Angewandte Chemie International Edition in English}, publisher={Wiley}, author={Heitele, Hans}, year={1993}, month=mar, pages={359–377} }