Abstract

Measurements of the frequency, temperature, and isotope-mass dependence of the electrical conductivity in a series of ${(^{6}\mathrm{Li},\phantom{\rule{0ex}{0ex}}^{7}\mathrm{Li})}_{2}$ O:2.${88\mathrm{B}}_{2}$${\mathrm{O}}_{3}$ glasses are quantitatively described by a unified model of relaxation. The data simultaneously show non-Debye behavior in the frequency dependence of the electric modulus and a nonclassical temperature-dependent isotope-mass effect. The relaxation model incorporates extra degrees of freedom intrinsic to glasses and predicts a correlation between the shape of the electric modulus dispersion curves and the magnitude of the isotope-mass effect. The predicted correlation is found to hold quantitatively at all temperatures with use of a value of the vibrational frequency which has been obtained by infrared-spectra measurements. The same model also quantitatively describes a wide range of other relaxation data.

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