Analysis of electrochemical impedance spectra using phase angle symmetry versus logarithm of frequency

摘要

Disclosed is a method for analyzing the impedance behavior of electrochemical impedance circuits or the transfer function for input / output systems, wherein the symmetry of the phase angle response with respect to the logarithm of the frequency is used to determine the lower frequency half of the impedance response over the logarithm of the frequency using only the information allow from the top half of the answer. The underlying analytical basis for the symmetry of the phase angle and the methods for applying this analysis are applicable to simple R-C circuits, Randles circuits, constant phase element (CPE) Randles circuits, and coating model circuits. Symmetrical functions that describe the derivative of the phase angle, 0, according to the logarithm of the frequency, can be used to determine the circuit elements for which only the high frequency information is required. To know how the low frequency range behaves, it is only necessary to know the high frequency based response. The acquisition of the high-frequency impedance can take place in a few seconds compared to many hours of experimental effort for the acquisition of the low-frequency behavior in order to enable continuous monitoring of the polarization resistance. The method is applicable to numerous sensor applications in a number of disciplines, including corrosion focused industries, battery technology and bioelectrochemical areas, and applicable to other transfer function analyzes such as dielectric relaxation and complex module.