Abstract
A lattice gas model is suggested for describing the order-disorder transition of mobile particles in BCC cage lattices such as alpha -AgI, Ag2S, NbHx, etc. The effect of repulsive first- and second-neighbour interactions is studied by a six sub-lattice mean-field approximation. With a fixed number of mobile particles determined by the composition of AgI the mean-field approximation predicts that the disordering process strongly depends on the ratio of the second- and first-neighbour interactions. Beside the low-temperature ordered state and the high-temperature random distribution two further intermediate states are found to be stable. This fact results in three different kinds of disordering process. The results suggest a new interpretation of the alpha phase of AgI.
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