Although empirical fitting potentials by Walker and Catlow have been successful in MD studies, accurately describing lattice vibrations has remained a challenge. Kamishima et al. developed a set of potential parameters by fitting phonon vibrational modes, providing a more accurate representation of lattice vibrations in Ag β-alumina. Their studies showed that mobile Ag + ions in the conducting plane are distributed over BR and aBR sites, exhibiting asymmetric large thermal amplitudes. The repulsion between Ag ions influences the dynamics, transitioning the diffusion mechanism from random hopping to cooperative motion.