Related Experiment Video
Updated: Jun 4, 2026

Precise Electrochemical Sizing of Individual Electro-Inactive Particles
Published on: August 4, 2023
Effects of electrostatic potential and shape on diffusion-controlled reaction at an elliptic site
1Department of Chemical and Biomolecular Engineering, University of Notre Dame, 182 Fitzpatrick Hall, Notre Dame, Indiana 46556, USA. strieder.1@nd.edu
Abstract:
The calculation of the diffusion-controlled reaction rate of an ionic reactant on a charged elliptic site is performed in order to examine the interaction of the site charge and shape. In the absence of site charge, the reaction rate for a fixed site area is always enhanced with decrease in circularity (ratio of minor to major axis lengths), going to infinity as the circularity vanishes to zero. In the case of attractive ion-site charge forces for any finite circularity, but a very large site charge, the shape enhancement is suppressed. For repulsive ion-site forces with a very large site charge and the same finite circularity, the shape enhancement effect on the site reaction rate is increased. Away from these large site charge limits for more typical ion-site charge pairs and site circularities the same trends are observed. The results shed light on experimental and numerical simulation phenomena observed for both repulsive and attractive reactant ion-charged site pairs.
Related Concept Videos
Processes at Electrodes
Electrostatic Boundary Conditions
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
The Electrical Double Layer
Electrochemical Systems
Calculations of Electric Potential II
Consider a...
Calculations of Electric Potential I
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the length Rdθ and has a charge of λRdθ.

