title: Effects of electrostatic potential and shape on diffusion-controlled reaction at an elliptic site.
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.
authors.affiliation: Department of Chemical and Biomolecular Engineering, University of Notre Dame, 182 Fitzpatrick Hall, Notre Dame, Indiana 46556, USA. strieder.1@nd.edu
authors.forename: William
authors.initials: W
authors.lastname: Strieder