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By Leonid I. Trakhtenberg, Sheng H. Lin, Olusegun J. Ilegbusi

The booklet is dedicated to the distinction of different strategies occurring in skinny movies and at surfaces. because the most vital physico-chemical phenomena in such media are observed via the rearrangement of an intra- and intermolecular coordinates and accordingly a surrounding molecular ensemble, the idea of radiationless multi-vibrational transitions is used for its description. the second one a part of the ebook considers the various floor phenomena. And within the 3rd half is defined the practise tools and features of alternative kinds of skinny motion pictures. either experimental and theoretical descriptions are represented. Media rearrangement coupled with the reagent transformation principally determines absolutely the price and temperature dependence of the speed constants and different features of the thought of strategies. those results are defined on the atomic or molecular point in keeping with the multi-phonon conception, ranging from the 1st pioneering experiences via to modern reviews. a few questions are integrated on the finish of many chapters to additional toughen the cloth provided. · Unified method of the outline of various physico-chemical phenomena in numerous fabrics · according to the pioneering study paintings of the authors · Explantion of various experimental observations · fabric is gifted at degrees of complexity for experts and non-specialists · Identifies current and power functions of the procedures and phenomena · comprises questions on the finish of a few chapters to additional strengthen the cloth mentioned

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38 (1964) 1195. R. R. Dogonaze, A. M. Kuznetsov, Electrochemistry 3 (1967) 1324. CONVENTIONAL THEORY OF MULTI-PHONON ELECTRON TRANSITIONS 35 24. A. A. Ovchinnikov, M. Ya. Ovchinnikova, J. Exp. Theor. Phys. 56 (1969) 1278. 25. R. R. Dogonadze, A. A. Kornyshev, Phys. Status Solidi B53 (1972) 439. 26. A. A. Kornyshev, M. A. Vorotyntsev, H. Nielsen, J. Ulstrup, J. Chem. , Faraday Trans. 78 (1982) 217. 27. P. Ha¨nggi, P. Talkner, M. Borkovec, Reaction-Rate Theory: Fifty Years After Kramers, Rev. Mod.

37 38 44 48 54 63 64 In this chapter, a description is provided on how to determine the electron component of the transition amplitude (electron tunneling amplitude) for multielectron systems. The electron Green’s function determines the distance dependence of the electron matrix element. The influence of crystal media on Green’s function is examined. The effect of the intermediate particles on electron tunneling will be considered within the framework of electron sub-barrier scattering to adequately describe the bridge effect.

It was done in the works [12, 19, 23], and most consistently in the work of Ovchinnikov and Ovchinnikova [24] where the frequency dependence of the medium dielectric permittivity e(o) is taken into account exactly, but the spatial dispersion was neglected. The interaction of the charge system of the donor (or acceptor) with the linear dielectric medium is described in the form ZZ ð~ r À~ r 0Þ ~ 0 r Þ. d~ r d~ r 0 ri;f ð~ rÞ (45) V i;f ¼ 3 Pð~ ~ r À~ r 0 CONVENTIONAL THEORY OF MULTI-PHONON ELECTRON TRANSITIONS 29 ~ r 0 Þ is the density Here, ri;f ð~ r Þ is the charge density in donor or acceptor and Pð~ of the medium polarization.

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