Transient kinetics of charge separation influenced by the reactant translational diffusion and solvent rotational relaxation

The purpose of this contribution is a formal analysis of the rate function for the electron transfer in polar solvents in the presence of diffusion in translational and rotational degrees of freedom. Electron transfer processes in polar solvents are investigated for a two-surface system using Zusman kinetic equations. The dynamics in the polarization coordinate approximates the dielectric friction effects on the reaction rates. The solutions of the Zusman equations are given in terms of the appropriate Green functions. The integral equations for the rate functions in the Laplace space have been derived. Limiting cases are considered. An approximate decoupling scheme is proposed to simplify the integral equations for the rate function.