A Target Diffusion Theory for Nuclear Spin Relaxation in Ionically-Conducting Glasses

Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator

The AC conductivity response of disordered materials follows a universal power law of the form σ′(ω)∝ωn at the low frequency regime, with the power exponent values in the range 0 < n < 1. At the high frequency regime, in many experimental data of different disordered materials, superlinear values of the power exponent n were observed. The observed superlinear values of the power exponent are usually within 1<n<2, but in some cases values n>2 were detected. The present work is based on the definitions of electromagnetic theory as well as the Havriliak–Negami equation and the damped harmonic oscillator equation, which are widely used for the description of dielectric relaxation mechanisms and vibration modes in the THz frequency region, respectively. This work focuses mainly on investigating the parameters that affect the power exponent and the range of possible n values.

Direct correlation between nonrandom ion hopping and network structure in ion-conducting borophosphate glasses

We present temperature-dependent conductivity spectra of sodium borophosphate glasses with a varying borate/phosphate ratio but a constant sodium oxide content which can be mapped into time-dependent mean square displacements. For the first time, we show that characteristic lengths of ion transport derived thereof are directly linked to features of network structure, viz., the number of boron oxide tetrahedra. Our results also shed light on the mixed network former effect.

Electrical Relaxation of Bismuth Germanate Silicate Glasses

The frequency-dependent electrical data of the bismuth germanate silicate (BGSO) glasses have been discussed in the framework of the electric modulus representation and the power-law conductivity. The activation energies of the mean electric relaxation time and the direct current (dc) conductivity obtained by the complex modulus analysis show that the BGSO glasses satisfy the Barton, Nakajima, and Namikawa (BNN) relation. The proper relation between the exponent of the power-law conductivity and the stretched exponential of the modulus representation is shown. The temperature- and frequency-dependent characteristics of non-Debye behavior are discussed. The scaling properties of both the modulus M*(omega) and the alternating current (ac) conductivity sigma(omega) are examined.