Issue 46, 2019

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.

Graphical abstract: Diffusion-influenced reactions on non-spherical partially absorbing axisymmetric surfaces

Article information

Article type
Paper
Submitted
15 Jul 2019
Accepted
05 Nov 2019
First published
07 Nov 2019

Phys. Chem. Chem. Phys., 2019,21, 25896-25906

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

F. Piazza and D. Grebenkov, Phys. Chem. Chem. Phys., 2019, 21, 25896 DOI: 10.1039/C9CP03957K

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