Distribution of Relaxation Times: Debye Length Distribution vs Electrode Polarization by a Cole−Cole Relaxation Model

Mobility, diffusivity and charge density in polyelectrolytes, are generally determined from electrochemical impedance spectroscopy following the electrode polarization analysis, in which at a given temperature the peaks in tan δ are fitted based on a model. These results can be different depending on the model used in the fitting of the curves. Generally, the models are based on a single Debye model or on the existence of an overlap in relaxation times (Cole–Cole model). In this work, we propose the alternative use of the distribution of the relaxation times by a distribution of the Debye length (L D ), which allows the calculation of parameters such as mobility, diffusivity, and charge density as a function of L D in a more concise approach.