A Mechanistic Approach to Conductivity Relaxation in Ionic Glasses

Pressure-Dependent Diffusion Coefficients and Haven Ratios in Cation-Conducting Glasses

The influence of hydrostatic pressure on diffusion and ionic conduction is providing deeper insights into the atomistic mechanisms of ionic motion in glasses. We have studied the tracer diffusion of 22Na in a sodium borate glass and of 86Rb in a rubidium borate glass as functions of hydrostatic pressures. The activation volumes of tracer diffusion are DeltaVD(Rb) = 33.5 cm3 mol-1 and DeltaVD(Na) = 6.1 cm3 mol-1. In comparison, the activation volumes of charge diffusion obtained recently from the pressure dependence of conductivity are smaller: DeltaVsigma(Rb) = 7.2 cm3 mol(-1) and DeltaVsigma(Na) = 2.8 cm3 mol(-1). These differences, where (DeltaVD - DeltaVsigma) > 0, imply that the Haven ratios decrease with pressure. This effect is particularly significant for the rubidium borate glass. Starting from basic equations of linear response theory for mass and charge transport, we develop a model that accounts for these experimental findings. The difference between the activation volumes, DeltaVD and DeltaVsigma, and the pressure-dependent Haven ratios are consequences of collective movements of ions in glass, implying a concerted motion of ions in a chain- or caterpillar-like fashion. In our treatment, it is a vacant site (with ions jumping into it successively) that moves along an extended pathway. Hence, we regard vacant sites as the carriers of charge and ions as the carriers of diffusing matter. The decrease of the Haven ratio with pressure is attributed to the influence of pressure on the topology of the conduction pathways, which are progressively straightened out with increasing pressure.

Activation Energy−Activation Volume Master Plots for Ion Transport Behavior in Polymer Electrolytes and Supercooled Molten Salts

We demonstrate the use of activation energy versus activation volume "master plots" to explore ion transport in typical fragile glass forming systems exhibiting non-Arrhenius behavior. These systems include solvent-free salt complexes in poly(ethylene oxide) (PEO) and low molecular weight poly(propylene oxide) (PPO) and molten 2Ca(NO3)2.3KNO3 (CKN). Plots showing variations in apparent activation energy EA versus apparent activation volume VA are straight lines with slopes given by M = DeltaEA/DeltaVA. A simple ion transport mechanism is described where the rate determining step involves a dilatation (expressed as VA) around microscopic cavities and a corresponding work of expansion (EA). The slopes of the master plots M are equated to internal elastic moduli, which vary from 1.1 GPa for liquid PPO to 5.0 GPa for molten CKN on account of differing intermolecular forces in these materials.

Coupling of ion and network dynamics in lithium silicate glasses: a computer study

We present a detailed analysis of the ion hopping dynamics and the related nearby oxygen dynamics in a lithium metasilicate glass via molecular dynamics simulation. For this purpose we have developed numerical techniques to identify ion hops and to sample and average dynamic information of the particles involved. This leads to an instructive insight into the microscopic interplay of ions and network. It turns out that the cooperative dynamics of lithium and oxygen can be characterized as a sliding door mechanism. It is rationalized why the local network fluctuations are of utmost importance for the lithium dynamics.