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- W3083173784 abstract "Abstract Semi-analytical modelling of transient experiments at cylindrical wire or fiber electrodes is hindered by the unavailability of numerical procedures for calculating special functions arising in the models. A theory is developed, of the chronoamperometric Faradaic current for a reversible charge transfer reaction at a cylindrical electrode. Arbitrary potential steps and unequal diffusion coefficients (δ = DO/DR ≠ 1) are assumed. Two procedures (written in C++) are designed, for computing a special function occurring in the theory. One procedure is computationally inexpensive, but has a low accuracy (relative error moduli close to 2% in the worst case, when −0.5 ≤ log (δ) ≤ 0.5). The second is more expensive, but highly accurate (relative error moduli close to 4 × 10−14 in the worst case, when −3 ≤ log (δ) ≤ 3). Numerical experiments demonstrate that the effect of δ ≠ 1 on the current is not negligible, even for δ not much different from unity. Therefore, the theory presented should be taken into account in experimental investigations. The code for the procedures is freely available." @default.
- W3083173784 created "2020-09-11" @default.
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- W3083173784 date "2021-01-01" @default.
- W3083173784 modified "2023-09-25" @default.
- W3083173784 title "Chronoamperometry for reversible charge transfers at cylindrical wire electrodes: Theory for DO ≠ DR, and a highly accurate computation of the current" @default.
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- W3083173784 doi "https://doi.org/10.1016/j.jelechem.2020.114650" @default.
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