Analysis of electrochemical impedance spectra using phase angle symmetry over the logarithm of frequency

摘要

A method for analysing the impedance behavior of electrochemical impedance circuits or the transmission function for input/output systems is disclosed, using the symmetry of the phase angle response with respect to the logarithm of the frequency, to allow determination of the lower frequency half of the impedance response above the logarithm of the frequency using only the information from the upper half of the response. The underlying analytical basis for phase angle symmetry and the methods for applying this analysis are simple R-C circuits, randles circuits,Constant phase element (CPE) randles circuits and coating model circuits applicable. Symmetric functions, which derive the phase angle, η,can be used to determine the circuit elements, for which only the high frequency information is needed. To know how the low frequency range behaves, only knowledge of the high frequency based response is required. The acquisition of the high-frequency impedance can be done 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 process is applicable to numerous sensor applications in a number of disciplines,including corrosion-focused industries, battery technology and bio-electrochemical fields, and applicable to other transmission function analyses such as dielectric relaxation and complex module.