Related Experiment Video
Updated: Mar 27, 2026

Electrochemical Impedance Spectroscopy as a Tool for Electrochemical Rate Constant Estimation
Published on: October 10, 2018
A ladder network modelling the electrochemical impedance of the diffusion and reaction processes in semi-infinite
1Universidad de Jaén, Departamento de Física, Edificio A-3, Campus Universitario de Las Lagunillas, 23071 Jaén, Spain. aamoya@ujaen.es.
Abstract:
The Gerischer impedance, i.e., the diffusion-reaction impedance of an ionic species in semi-infinite space, has been modelled by means of a novel simple equivalent ladder electric circuit constituted by a finite number of resistors and capacitors, which corresponds to the Cauer structure obtained from development into continued fractions. The Nyquist plots of the impedance of the ladder network or Cauer circuit and the deviation with respect to the Gerischer impedance have been originally analysed as a function of the number of circuit elements. From the Cauer equivalent circuit, a new and simple expression modelling the Gerischer impedance at the limit of the lowest frequencies has been derived.
Related Concept Videos
Electrochemical Systems
Processes at Electrodes
Debye–Huckel–Onsager Conductance Equation
Boundary Conditions for Current Density
The Electrical Double Layer
Electrostatic Boundary Conditions in Dielectrics
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity....

