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Electrochemical Impedance Spectroscopy as a Tool for Electrochemical Rate Constant Estimation
Published on: October 10, 2018
Lower bound of the capacitance of constant phase elements based on electrochemical impedance spectra
Jan Dippell1,2, Timo Danner1,2, Arnulf Latz1,2,3
1German Aerospace Center (DLR), Institute of Engineering Thermodynamics, 70569 Stuttgart, Germany. Timo.Danner@DLR.de.
Abstract:
For many applications it is of interest to find the capacitance corresponding to a specific interface or bulk element from electrochemical impedance spectroscopy (EIS). Often a constant phase element (CPE) is used to model the data. While some formulas are commonly used in literature to find the capacitance of a CPE they lack the physical foundation for such a general usage. A CPE mathematically has an infinite capacitance, which in most cases is physically impossible. Here we investigate EIS elements that closely follow a CPE above a certain frequency. For these we can give finite lower bounds for the capacitance depending on that frequency. We additionally develop formulas to include experimental uncertainties in the calculation of a minimum capacitance for CPE-like EIS elements.
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