On the Use of the Power-Law Model for Interpreting Constant-Phase-Element Parameters

Abstract

Constant-phase elements (CPE) are often used to fit impedance data arising from a broad range of experimental systems. The power-law model has proven to be a powerful tool for interpretation of CPE parameters resulting from an axial or normal distribution of time constants. This paper addresses difficulties in applying this model associated with uncertain values for one of the model parameters. Methods are presented for bounding the value of the parameter, for calibration, and for comparative analysis in which the unknown parameter may be eliminated. The methods are illustrated by data taken from the literature for oxides on steels and for human skin.