The determination of the full set of characteristic values of percolation, percolation threshold and critical exponents for the artificial composite with ionic conduction Ag₄RbI₅–(β-AgI)

Abstract

The dc electrical conductivity, σ dc , of the composite system Ag 4 RbI 5 -(β-AgI), which is composed of a good ionic conductor and a bad one, was measured by the ac impedance method. The obtained σ dc increases with the volume fraction, φ, of the good conductor, Ag 4 RbI 5 . This φ dependence of σ dc was analysed based on the generalized effective medium (GEM) theory. The scaling law analysis was also applied. The obtained threshold value of the volume fraction, φ c , was 0.162 ± 0.005. The critical exponents, t and s, were determined to be 2.0 ± 0.05 and 0.88 ± 0.005 respectively. These values are in almost complete agreement with the universal values of φ c , t and s predicted by the computer simulation for the electrical conduction. So far as the present authors know, this study is the first to provide the full set of universal characteristic values of percolation, φ c , t and s, for the electrical conduction from a single experimental study for the artificial composite material.

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