Fractal model for the ac response of a rough interface
Abstract
The ac response of an interface between two materials of very different conductivities (e.g., an electrode and an electrolyte) cannot be simply modeled by a resistor and a capacitor. Instead it is found necessary to include a constantphaseangle (CPA) element whose impedance has the form Z((LC OMEGA)) infinity (j(LC OMEGA))(sup eta), where (LC OMEGA) is the angular frequency, j = (RADICAL)1, and 0 eta 1. Furthermore, it is observed that the parameter eta is intimately related to surface roughness, with eta approaching unity when the surface is made increasingly smooth.
 Publication:

Presented at the Materials Research Society Meeting
 Pub Date:
 August 1985
 Bibcode:
 1985mrs..meetR....K
 Keywords:

 Alternating Current;
 Electrical Resistivity;
 Electrodes;
 Electrolytes;
 Fractals;
 Impedance;
 Interfaces;
 Mathematical Models;
 Responses;
 Scaling Laws;
 Electronics and Electrical Engineering