Entropic restrictions control the electric conductance of superprotonic ionic solids

Abstract

The change in entropic restrictions in a superprotonic transition controls the increase of the ionic conductance in ionic solids.

The Debye length and anionic transport properties of composite membranes based on supported ionic liquid-like phases (SILLPS)

“…A discussion of this effect on the superprotonic transition in cesium phosphates is reported in Santamaria-Holek, I. et al using this same model. 55 Fig. 2 shows the temperature dependence of the conductivity for all the samples studied.…”

“…This temperature-dependent excess entropy is associated with structural changes of the membrane that modify, in turn, its porosity. In this form, the temperature-dependent conductivity becomes well represented by the following expression, 55 here, σ ( T ) is the conductivity as a function of the temperature, R is the gas constant, T is the temperature, and C is a fit constant. Furthermore, Δ h ‡ ( T ) is the molar activation enthalpy, Δ s ‡ ( T ) is the molar activation entropy, and Δ s m ( T ) is the molar excess entropy associated with entropic constrictions in the system.…”

“…Furthermore, Δ h ‡ ( T ) is the molar activation enthalpy, Δ s ‡ ( T ) is the molar activation entropy, and Δ s m ( T ) is the molar excess entropy associated with entropic constrictions in the system. The entropy constrictions depend on the composition and temperature changes, and can be expressed as 55 where α (thermal expansion coefficient) and β are fitting parameters and ϕ high and ϕ low are the membrane porosities at high and at low temperatures, respectively. In this formula, the reference temperature T c is a fitting parameter that characterizes the temperature at which the structure of the material changes.…”

“…A discussion of this effect on the superprotonic transition in cesium phosphates is reported in Santamaria-Holek, I. et al using this same model. 55…”

Entropic Effects of Interacting Particles Diffusing on Spherical Surfaces

“…The model used here was derived in the context of mesoscopic non-equilibrium thermodynamics (MNET) and has been widely used in order to obtain kinetic equations for transport phenomena, like diffusion-adsorption processes, anomalous diffusion, activated processes, diffusion in pores, and diffusion in the presence of entropic barriers [35][36][37][38][39]. In particular for our purposes, MNET has been successful in describing diffusion on other confined systems [38,[40][41][42].…”