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An approach of describing the thermodynamics of binary alloys is developed which is based on an exact expression of infinite MacLaurin series of molar excess Gibbs free energy. This new approach is successfully used to represent the thermodynamics of binary alloys at higher concentrations. The present results reveal that it is an improper way to evaluate first and second-order interaction parameters simultaneously from the experimental data in the range of higher concentrations due to an inadequate accuracy Of high temperature experiments.

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