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Additional resources for Physico-Chemical Phenomena in Thin Films and at Solid Surfaces Thin Films and Nanostr
Let us examine the structure of expression (16). The inﬂuence of the dielectric medium constant e0 affects the factor aroused from the long-range Coulomb’s ﬁeld of the donor and acceptor charges, ðkrDA ÞðZD þZA Þ=0 k . But the inﬂuence of medium on the second, exponential factor in g(rDA) is not yet examined. Note, the expression Àð1=rDA ÞexpfÀkrDA g differs from the Green’s function of a free electron G 0 ð~ rD ;~ rA0 ; EÞ by the numeric factor 1/2p only (see formula (6)). Therefore it will be considered that the inﬂuence of the medium on Green’s function of a free electron does not interact with the donor and the acceptor.
It was examined in this chapter that in the standard situation the system is in equilibrium in the initial state; therefore, the result of averaging out the populations of the oscillator levels in this state is their replacement with their equilibrium values (see the determination (19)). But very frequently the electron photo-transfer is studied where the initial state is the excited state of donor. The electron matrix element Vif increases exponentially with the growth of the tunneling electron energy (see Chapter 3).
Rev. 84 (1951) 108. R. Marcus, J. Phys. Chem. 24 (1956) 966, 979; R. Marcus, J. Phys. Chem. 26 (1957) 867; R. Marcus, Disc. Far. Soc. 29 (1960) 21. A. M. Kuznetsov, Charge Transfer in Physics, Chemistry and Biology, Gordon and Breach, NY, 1995. M. A. Lavrent’ev, B. V. Shabat, Methods of the Theory of Functions of Complex Variables, Nauka, Moscow, 1965. G. K. Ivanov, M. A. Kozhushner, L. I. Trakhtenberg, J. Chem. Phys. 113 (2000) 1992. T. Kumada, K. Komaguchi, Y. Aratono, T. Miyazaki, Chem. Phys.
Physico-Chemical Phenomena in Thin Films and at Solid Surfaces Thin Films and Nanostr