Document Type
Article
Abstract
A short-time asymptotic analysis is performed to establish corrections of the Ilkovich equation, which describes the polarographic response of a dropping mercury electrode. The convective diffusion equation governing diffusion limited reactant flux for small drop times is solved by a regular perturbation based on powers of the sixth root of time. This produces a framework within which higher terms of the Ilkovich equation can be derived systematically. As well as reproducing Ilkovich’s original formula and verifying Newman’s correction of Koutecky’s first-order term, we calculate the second-order term for the first time. The calculation is compared to the Newman–Levich procedure and tested against numerical simulations with finite-element software.
Digital Object Identifier (DOI)
Publication Info
Published in Journal of Electroanalytical Chemistry, Volume 925, 2022.
Rights
© 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
APA Citation
Chapman, S. J., Monroe, C. W., Reddy, S. K. M., Van-Brunt, A., & White, R. E. (2022). Higher corrections of the Ilkovich equation. Journal of Electroanalytical Chemistry, 925, 116899. https://doi.org/10.1016/j.jelechem.2022.116899 https://doi.org/10.1016/j.jelechem.2022.116899