Development of an electrochemical impedance analysis program based on the expanded measurement model

Abstract

A new program for electrochemical impedance analysis has been developed based on the expanded measurement model. The main feature of this program is that it allows the user to easily estimate the equivalent circuit, as well as an initial guess of the fitting parameters, through a graphic user interface (GUI). The function to illustrate the partial impedance spectra is implemented in the graphs of log fZ real and log fZ imag . In this context, f represents the alternating current frequency applied to the sample; Z real and Z imag represent the real and imaginary components of the impedance, respectively. By employing the GUI supporting function, the impedance spectrum can be analyzed without the use of a pseudo-element such as a constant phase element and with an empirical parameter in the Warburg and Gerischer impedance. Based on the results, it is possible to calculate a discrete distribution of the relaxation times from the optimized parameters.

Adaptive multi-parameter regularization approach to construct the distribution function of relaxation times

“…According to DFRT literature (Ivers-Tiffee and Weber 2017; Kobayashi and Suzuki 2018), there are numerous approaches to extract the Distribution Function of Relaxation Times (DFRT) data from electrochemical impedance spectroscopy (EIS) data. The majority of reported approaches is based on evolutionary programming (Hershkovitz et al 2011; Tesler et al 2010) and Monte Carlo techniques (Tuncer and Macdonald 2006), maximum entropy model (Horlin 1998), Fourier filtering (Boukamp 2015; Schichlein et al 2002), and regularization techniques (Dion and Lasia 1999; Kobayashi et al 2016; Kobayashi and Suzuki 2018; Wan et al 2015; Zic and Pereverzyev 2018). Additionally, the first software to extract DFRT from EIS data is based on Fourier transform technique (Kobayashi and Suzuki 2018).…”

High‐pressure synthesis of a 12CaO·7Al2O3–12SrO·7Al2O3 solid solution

“…Solid‐state electrochemical‐impedance spectra were collected by a frequency‐response analyzer (1255WB, SolarTron, Farnborough, Hampshire, UK) with a high‐sensitivity amplifier interface (1296, SolarTron, UK). To separate the contributions of the bulk, grain boundaries, and electrode impedance, the collected impedance spectra were analyzed by using an equivalent electrical‐circuit model provided by an analysis software developed by Kobayashi et al …”

Development of Impedance Analysis Software Implementing a Support Function to Find Good Initial Guess Using an Interactive Graphical User Interface

“…The relationships guiding each partial impedance circuit are described in another paper. 11 The basic concept of a supporting function is that initial parameter values of the equivalent circuit model, which is set by Parameter list generated by click of the "Read Equiv.…”

“…These are empirical equations. 11 Electrochemistry, 88(1), 39-44 (2020) replacing the parameter pair between R1, C1 pair and R2, C2 pair has no effect on the fitted results.…”

“…[10][11][12] On the basis of the measurement model, equivalent circuits are presented by serial connections of partial impedance elements, namely resistor, capacitor, inductor, constant phase element, and resistor connected to capacitor in parallel, among others. [10][11][12] Although the measurement model is intuitively easy to imagine, it is sometimes necessary to use equivalent circuits which are impossible to present by the measurement model such as Randles circuit. Furthermore, specialized software is necessary for conveniently using measurement model 11 in addition with the mathematical relations.…”