Abstract
Generally there is a good agreement between thermodynamic data of different authors, when simulating the Ising model by careful Monte Carlo statistics. But one discrepancy appeared for a special case, namely for a crystal with only nearest-neighbour interactions: Binder et al.reported a composition, half-way between 50% and 25%, where no long-range order (“lro”) existed down to zero degree of temperature, whereas in a former paper of the author lro was found in accordance with Kikuchi's cluster variation method. In the present paper the controversial findings are investigated again by means of the Monte Carlo canonical and grand-canonical ensembles. The nearest-neighbour model stands out by its degeneracies, in particular by degenerate Iro structures, characterized by fluctuation of special antiphase boundaries. The features of this type of Iro will be analysed in detail.
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