Small‐Signal AC Response of an Electrochemical Cell with Completely Blocking Electrodes

Abstract

An exact solution is presented for the small‐signal ac response, in the continuum approximation, of an electrochemical cell, or half‐cell, with unsupported electrolyte and completely blocking electrodes. The solution includes the possibility of inner layer capacitance effects, arbitrary mobilities, arbitrary valence numbers, and any degree of charge dissociation. It applies to liquid and solid electrolytes, fused salts, and even intrinsic semiconductors. Numerous complex plane plots are included to demonstrate some of the many types of response possible. The present solution has also been incorporated as a distributed circuit element for use in equivalent circuit fitting using a newly improved complex non‐linear least squares fitting program.