Abstract
Cyclic voltammetry take into account the mass transport of species and the kinetics at the electrode surface. Analytical solutions of these models are not well-known due to the complexity of the boundary conditions. In this study we present analytical relation between the concentration at the electrode surface and the current for quasi-reversible reaction.A new semi analytic description ofquasi-reversible cyclic voltammetry at a electrode is obtained, assuming equal diffusion coefficients. It provides rigorous and complete expression for the voltamettric current, in the form of the integral or the integral equation.This solution method can be extended to cases that are more general and may be useful for benchmarking purposes.
Highlights
Cyclic voltammetry is one of the main tools used to characterize electrochemical systems and has a broad range of applications
Berzins and Delahay [9] derived an equation for oscillographicpolarographic waves corresponding to the reversible deposition of an insoluble substance and compared their results with experimental data
In this study we have obtained the relation between the concentration ferrocyanideat the electrode surface and the current for quasi-reversible reaction
Summary
Cyclic voltammetry is one of the main tools used to characterize electrochemical systems and has a broad range of applications. Molina et al [8] derived analytical expressions for the current or potential response and concentration profiles for the reversible ion transfer at the interface between two immiscible electrolyte solutions. [13] using He’s homotopy perturbation method.Samin, and Jinsuo Zhang [14] derive analytical solutions to the planar cyclic voltammetry model which describes mass transport of species through the equations and the kinetics at the electrode surface through the Nernst and Butler-Volmer equations. In this study we have obtained the relation between the concentration ferrocyanideat the electrode surface and the current for quasi-reversible reaction.
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