Theory and highly accurate computation of nonlimiting chronoamperometric currents for the ErevCirr reaction mechanism at cylindrical wire electrodes
Authors:
- L.K. Bieniasz
Abstract
Theory of single potential step chronoamperometry for the ErevCirr reaction mechanism involving a reversible charge transfer and a (pseudo-) first order irreversible homogeneous follow-up chemical reaction at a cylindrical wire electrode has not been thus far considered in the literature, except for very fragmentary results. Such a theory is presented, and it is shown that the chronoamperometric nonlimiting Faradaic current can be described in terms of a trivariate special function termed icylw_EC(.). Numerical procedures are elaborated and implemented in C++, that allow one to efficiently compute this function, and the current, with the modulus of the relative error not exceeding about 3 x 10^-11 (but often smaller, at the level of 10^-19 - 10^-15). The code for the procedures is freely available. With the help of this code the effects of the electrode curvature and of the homogeneous reaction rate constant, on the current, are briefly investigated and discussed.
- Record ID
- CUTf2179c9f1b6e4796ae026bb25ab4a405
- Publication categories
- ;
- Author
- Journal series
- Journal of Electroanalytical Chemistry, ISSN 1572-6657, e-ISSN 1873-2569
- Issue year
- 2021
- Vol
- 895
- Pages
- [1-11]
- Article number
- 115410
- Other elements of collation
- wykr.; Bibliografia (na s.) - 10-11; Bibliografia (liczba pozycji) - 39; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 895
- Keywords in English
- cylindrical wire electrode, chronoamperometry, EC mechanism, Laplace transform, Bessel functions, computational electrochemistry
- DOI
- DOI:10.1016/j.jelechem.2021.115410 Opening in a new tab
- URL
- https://www.sciencedirect.com/science/article/pii/S1572665721004367 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 70
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTf2179c9f1b6e4796ae026bb25ab4a405/
- URN
urn:pkr-prod:CUTf2179c9f1b6e4796ae026bb25ab4a405
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