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Diffusion-influenced reactions on non-spherical partially absorbing axisymmetric surfaces

Abstract

The calculation of the diffusion-controlled reaction rate for partially absorbing, non-spherical boundaries presents a formidable problem of broad relevance. In this paper we take the reference case of a spherical boundary and work out a perturbative approach to get a simple analytical formula for the first-order correction to the diffusive flux onto a non-spherical partially absorbing surface of revolution. To assess the range of validity of this formula, we derive exact and approximate expressions for the reaction rate in the case of partially absorbing prolate and oblate spheroids. We also present numerical solutions by a finite-element method that extend the validity analysis beyond spheroidal shapes. Our perturbative solution provides a handy way to quantify the effect of non-sphericity on the rate of capture in the general case of partial surface reactivity.

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Publication details

The article was received on 15 Jul 2019, accepted on 05 Nov 2019 and first published on 07 Nov 2019


Article type: Paper
DOI: 10.1039/C9CP03957K
Phys. Chem. Chem. Phys., 2019, Accepted Manuscript

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    Diffusion-influenced reactions on non-spherical partially absorbing axisymmetric surfaces

    F. Piazza and D. Grebenkov, Phys. Chem. Chem. Phys., 2019, Accepted Manuscript , DOI: 10.1039/C9CP03957K

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