A Complex Parameter Boundary Element Method For Modeling Ac Impedances Of Electrochemical Systems By Analytic Continuation-rnapplication To A Slit Geometry

摘要

A complex parameter boundary element method is advanced to compute the AC impedances of electrochemical systems by solving the Laplace equation with complex boundary conditions. This method, which is based on analytic continuation from the corresponding secondary current distribution, is applied to a slit geometry, besides two illustrative cases: plane-parallel electrodes and concentric cylinder electrodes. The AC impedance responses for the slit geometry are computed for several electrode and slit dimensions for (1) purely capacitive working electrode and (2) a working electrode represented by a Voigt element. Interesting effects of the electrode and the slit dimensions on the AC response are noted. Applications of this method in viscoelastic systems, rheology and electronic/electrical devices are discussed. User-friendly implementations of the method in the BEASY group of softwares are also suggested.