Ionic conductivity in ordered and disordered one-dimensional lattice gas models has been investigated using a Monte-Carlo simulation technique. Two one-dimensional lattices have been investigated: (a) an ordered array of deep and shallow potential wells and (b) a disordered array of the same two types of potential wells. An interesting influence of disorder on activation has been observed based upon the Arrhenius plots of the ionic conductivity. The activation energy for the disordered arrangement of sites is lower than that for the ordered one. This result is in agreement with the experimentally-observed increase of activation energy for β-eucryptite upon proceeding from the glassy to the crystalline state, and arises from decreased ion-ordering in the disordered potential. Effects of ion-ion correlations in one-dimensional systems are also discussed and these provide a simple physical interpretation of the charge correlation factor, fc.
ASJC Scopus subject areas
- Physical and Theoretical Chemistry
- Energy Engineering and Power Technology
- Materials Chemistry
- Condensed Matter Physics