Homogeneous Catalysis of Electrochemical Reactions: The Steady-State Current and Turnover Frequency

Abstract

A theoretical model for homogeneous catalysis for oxidation and reduction processes is presented. This model is described by a system of nonlinear differential equations, in which the nonlinear term is related to the one-electron, one-step homogeneous reactions. The system of nonlinear equations in steady-state voltammetry at a slow scan rate is solved using a new analytical method known as the Rajendran–Joy method. The concentration of species, current–voltage, and turnover frequency curves have been obtained in simple and closed forms. The effects of two rate constants and two bulk concentrations of species on the current and turnover frequency are explored. There is a good agreement when our approximate analytical results are compared to numerical (MATLAB) results. The sensitivity analysis of the parameters on the current–voltage curve was also provided.