Application of Rate‐Process Theory to Glass—Electrical Conductivity

Abstract

The electrical conductivity of glass has long been known to be a function of temperature and composition, this fact being first established empirically by Foussereau in 1882. T h e temperature dependence of the resistivity would seem, however, to follow different laws at high and at low temperatures. Using the rate-process theory, a n equation is developed giving the dependence of the resistivity versus temperature. It is shown that at high and low temperatures the equation is reducible to the known empirical forms. It is also shown that glass may be nonohmic in character at low temperatures, as reported by Poole. Poole's equation for the dependence of the resistivity on field strength furthermore is shown to be a direct consequence of the theory.

Mixed-alkali effect in sodium–potassium glasses irradiated with electrons

“…For higher alkali concentrations Haven ratio, H R , decreases to values 0.2-0.5 [14], indicating a strong correlation among like alkali ions and supporting the idea of the conduction paths. Nevertheless, the coupling of alkali ion paths with silica sub-network cannot be simply excluded even for high alkali concentrations and even the standard current model of Anderson and Stuart [15] works with a ''doorway energy" needed for an ion to pass from one site to another one.…”

Statistical Theories as Applied to the Glassy State

“…Stuart and Anderson (34), using the Eyring reaction rate theory, later derived Equations 2 and 3. Their derivation differs from Stevels' only by the assumption that the jump distance varies with temperature, as originally reported by Maurer, instead of the activation energy varying with temperature.…”