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The Debye characteristic temperature of a binary alloy has been expressed in terms of ordering parameter, the Debye characteristic temperature of the constituent metals and the proportions of the metals. This has been done by considering the non-central force model with electron gas participation. The first- and second-nearest-neighbour interactions only have been considered. This expression is found to predict correctly the Debye characteristic temperatures of Cu3Au as a function of the long-range ordering parameter.
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