Consideration on the Non-linearity of Warburg Impedance for Fourier Transform Electrochemical Impedance Spectroscopy

다국어 초록 (Multilingual Abstract)

Here I report on how Fourier Transform Electrochemical Impedance Spectroscopy(FTEIS) overcomes the potential-current linearity problem encountered in the impedance calculationprocess. FTEIS was first invented to solve the time-related drawback of the conventionalimpedance technique. The dramatic time reduction of FTEIS enabled the real-timeimpedance measurement but brought about the linearity problem at the same time. While theconventional method circumvents the problem using the steady-state made by a sufficiently longmeasurement time, FTEIS cannot because of its real-time function. However, according to themathematical development reported in this article, the potential step used in FTEIS is provedto avoid the linearity problem. During the step period, the potential and the current are linearizedby the electrochemical impedance. Also, Fourier transform of the differentiated potentialand current is proved to give the same result of the original ones.

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