Perovskite type proton conductors are known to show non-monotonous transient responses due to non-ignorable contributions of holes and oxide ions as minor carriers. Efforts have been made to simulate the behavior of the three-carrier systems by numerical calculations1-4). In most cases, however, the calculation assumes reversible electrodes, and the results are not directly applicable for analyses of experimental results such as impedance spectra. The purpose of this study is to develop an equivalent circuit model of a three-carrier conductor as a simple but theoretically feasible tool to be used for practical analyses. In the modeling, charge carriers were assumed to be Hi•, VO••, and h•, for which the gradients of respective electrochemical potentials were taken as the driving forces in the following continuity equations,
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