Model for the interfacial impedance between a solid electrolyte and a blocking metal electrode

Abstract The roughness of the interface between a solid electrolyte and a blocking metal electrode is modeled with pores on the electrode. The impedance of each pore is approximated with a transmission line with position-dependent resistance and capacitance per unit length. For pores with some special shapes, the interfacial impedance has the fractional-power-law dependence on the frequency ω: B(jω)−n over wide ranges of ω as observed experimentally. The model can qualitatively explain the experimental results that n decreases with increasing roughness of the interface and with increasing temperature.