Analytical solutions of the planar cyclic voltammetry process for two soluble species with equal diffusivities and fast electron transfer using the method of eigenfunction expansions | Zendy

Adib J. Samin | Zendy; Erik Lahti | Zendy; Jinsuo Zhang | Zendy

Open Access

Analytical solutions of the planar cyclic voltammetry process for two soluble species with equal diffusivities and fast electron transfer using the method of eigenfunction expansions

Author(s) -

Adib J. Samin,

Erik Lahti,

Jinsuo Zhang

Publication year - 2015

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4928862

Subject(s) - eigenfunction , cyclic voltammetry , laplace transform , voltammetry , planar , electron transfer , boundary value problem , electrochemistry , chemistry , electrode , materials science , analytical chemistry (journal) , mathematical analysis , mathematics , physics , eigenvalues and eigenvectors , computer science , quantum mechanics , chromatography , computer graphics (images)

Cyclic voltammetry is a powerful tool that is used for characterizing electrochemical processes. Models of 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 closed form analytical solutions of the planar voltammetry model for two soluble species with fast electron transfer and equal diffusivities using the eigenfunction expansion method. Our solution methodology does not incorporate Laplace transforms and yields good agreement with the numerical solution. This solution method can be extended to cases that are more general and may be useful for benchmarking purposes

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