ISSN: 1304-7191 | E-ISSN: 1304-7205
Exploring transient potential steps on rotating disk electrodes with steady-state concentration profiles in single electron transfer reactions
1Department of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India.
2Department of Mathematics, Vel tech high tech Dr. RangarajanDr.Sakunthala Engineering College, Chennai, Tamilnadu, India
3Department of Mathematics, S.A. Engineering College, Thiruverkadu, Chennai, Tamilnadu, India
4Department of Mathematics, Veltech Rangarajan Dr.Sakunthala R&D institute of science and technology, Chennai-600062, India
Sigma J Eng Nat Sci - DOI: 10.14744/sigma.2025.00103

Abstract

This study develops a theoretical model to analyze transient currents in one-electron transfer reactions over rotating disk electrodes for quasi-reversible and irreversible processes. The model employs the nearest diffusion layer approximation, separation of variables, variational iteration, and two-point Pade approximation methods to derive concentration profiles. The techniques not only yield better precision and reliability of electrochemical measurements through considerations of transient currents and background current rejection in solid-state electrochemical systems, thereby improving the precision and interpretation of experiments devoted to rotating disk electrodes. Analytical expressions for the concentrations of oxidized and reduced species are obtained, enabling the examination of how parameters operate on current during the transition between activation-controlled currents. Closed-form solutions for the steady-state background current are also provided. Finally, we concluded that numerical simulations are used to describe and distinguish between reversible and quasi-reversible electrode processes