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Analytical solutions for the diffusive mass transfer at cylindrical and hollow-cylindrical electrodes with reflective and transmissive boundary conditions

Title 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) . - No. 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
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: 26 Aug 2021 07:31
URI: https://eref.uni-bayreuth.de/id/eprint/66851