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Updated: Jul 19, 2026

Solid-state Graft Copolymer Electrolytes for Lithium Battery Applications
Published on: August 12, 2013
Dielectric behavior of polyelectrolytes II. The cylinder
P I Meyer1, G E Wesenberg, W E Vaughan
1Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
Abstract:
The dipolar correlation function for a system of coupterions diffusing on the surface of a polyelectrolyte cylinder is computed. The influence of screened coulombic repulsions on the dielectric increment is determined. Dissociation and reassociation of the counterions to the cylinder is treated microscopically and the coupled bulk diffusion is solved in the presence of the Poisson-Boltzmann potential. It is found that the correlation function contains a small, fast decaying, molecular weight independent part arising from diffusion around the cylinder and a large, slowly decaying, molecular weight dependent part arising from diffusion along the cylinder axis. The dissociation-reassociation kinetics can play a large, possible dominant, role in determining the relaxation rates.
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