Kinetics of the Elementary Act of Electrochemical Reactions at the Semiconductor-Electrolyte Solution Interface

In the framework of the quantum-mechanical theory of elementary act of non-adiabatic electrochemical reactions, it is carried out the calculation of the discharge current of ions at the semiconductor electrolyte solution interface using the model of isotropic spherically symmetric band. It is shown that our results generalize the well-known formulae for the current density obtained by Dogonadze, Kuznetsov, and Chizmadzhev [R. R. Dogonadze, A. M. Kuznetsov, and Yu. A. Chizmadzhev, The kinetics of some heterogeneous reactions at semiconductor-electrolyte interface, Zhur. Fiz. Khim. 38, 1195 (1964)]. The average densities of states in the valence band and the conduction band of the semiconductor electrode in the heterogeneous charge transfer are found.