at Google ScholarTitle data
Tichter, Tim ; Andrae, Dirk ; Roth, Christina:
Analytical solutions for the diffusive mass transfer at cylindrical and hollow-cylindrical electrodes with reflective and transmissive boundary conditions.
In: Journal of Electroanalytical Chemistry.
Vol. 897
(2021)
.
- 115565.
ISSN 1572-6657
DOI: https://doi.org/10.1016/j.jelechem.2021.115565
Abstract in another language
The theoretical treatment of cyclic voltammetry or chronoamperometry at cylindrical electrodes by means of convolutive modeling requires an a priori knowledge of the time-dependent mass transfer functions and of the diffusive flux of the electrochemically active species. In this paper, analytical solutions for both of these quantities are derived for cylindrical and hollow-cylindrical electrodes with reflective and transmissive boundaries by means of Laplace transformation techniques. Furthermore, explicit equations for the concentration profiles of a Cottrellian potential step experiment are provided. All of these expressions are given in terms of infinite series involving Bessel functions of the first and of the second kind. It is demonstrated that the summation of only a few terms of these infinite series is usually sufficient to accurately compute the desired time-dependent mass-transfer function or the current. This renders the numerical inversion of Laplace transformations, utilized so far, obsolete and represents a mathematical supplement to the recent theory.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Cylindrical electrodes; Chronoamperometry; Cyclic voltammetry; Mass-transfer function; Convolution; Laplace transformation |
| Institutions of the University: | Faculties > Faculty of Engineering Science > Chair Electrochemical Process Engineering > Chair Electrochemical Process Engineering - Univ.-Prof. Dr. Christina Roth Faculties Faculties > Faculty of Engineering Science Faculties > Faculty of Engineering Science > Chair Electrochemical Process Engineering |
| Result of work at the UBT: | No |
| DDC Subjects: | 500 Science > 540 Chemistry 600 Technology, medicine, applied sciences > 620 Engineering |
| Date Deposited: | 26 Aug 2021 07:31 |
| Last Modified: | 28 Nov 2023 13:59 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/66851 |