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Scaling behavior in the conductivity of alkali oxide glasses

Sidebottom, D.L.

Although the frequency dependent conductivity, {sigma}({omega}), of ion-containing glasses displays power law dispersion ({sigma}({omega}) {approx} {omega}{sup n}) that can usually be described by a master curve, several findings have suggested that this scaling fails at low temperatures as indicated by a temperature dependence of the scaling exponent, n. The authors investigate this behavior in the frequency range between 1 Hz and 10{sup 6} Hz for a different materials including alkali metaphosphate glasses and a polymer. They identify two distinct regimes of conductive behavior, {sigma}{sub {vert_bar}} and {sigma}{sub {parallel}}. The first, {sigma}{sub {vert_bar}}, is strongly temperature dependent and appears to obey a master curve representation. The second, {sigma}{sub {parallel}}, exhibits only a weak temperature dependence with a roughly linear frequency dependence. A strong depression of {sigma}{sub {vert_bar}} occurs for the mixed alkali case, but {sigma}{sub {parallel}} is unaffected and occurs at roughly the same location in all the alkali compositions studied. They propose that {sigma}{sub {parallel}} does not arise from cation motion, but rather originates from a second mechanisms likely involving small distortions of the underlying glassy matrix. This assignment of {sigma}{sub {parallel}} is further supported by the roughly universal location of {sigma}{sub {parallel}}, to within an order of magnitude, of a variety of materials, including a polymer electrolyte and a doped crystal. Since {sigma}{sub {vert_bar}}(T) and {sigma}{sub {parallel}}(T {approx} const.) are viewed as separate phenomena, the temperature dependence of the scaling exponent is shown to result merely from a superposition of these two contributions and does not indicate any intrinsic failure of the scaling property of {sigma}{sub {vert_bar}}.