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Electrical conduction in alkali borate glasses; a unique dependence on the concentration of modifier ions

The electrical conduction of Li2O–B2O3, Na2O–B2O3 and K2O–B2O3 glasses seems, at first sight, to be dominated by the activation energy. Regardless of the size of the alkali ion, there is a unique dependence of conductivity, at a certain temperature, on the alkali–alkali distance and thus on N (the number of ions per cm3). The linear dependence of logσ on N−3/2 for all types of alkali ions reveals that N is the basic parameter that determines the conductivity at a certain temperature. A derived semi-empirical relation can be used to calculate the conductivity as a function of N and temperature.