Pipe-sphere model for enhancement of ionic conductivity in composite solid electrolytes

It is well-known that the ionic conductivity of a superionic conductor when dispersed with an insulator shows a remarkable enhancement. In this work we suggest that the contribution coming from grain-boundaries and dislocations is primarily responsible for this phenomenon in a number of cases. We propose a simple theoretical model for such composites and with the aid of the Effective Medium Theory (EMT) under self-consistent scheme we estimate the effective conductivity as a function of insulator volume fraction and particle size for four composites, namely CaF₂-Al₂O₃, CuCl-Al₂O₃, Sr(NO₃)₂-Al₂O₃ and SrCl₂-Al₂O₃. This model is applicable to composites where enhancement is observed for a very low insulator volume fraction and other prevalent models are inadequate. The results exhibit a good qualitative fit to the experimental data and all characterisitic experimental observations.