Abstract
A new approach in expressing the excess configurational entropy of a binary alloy phase is reported, which, through economy of formulation and ease of manipulation, offers a convenient and effective alternative to the widely-used regular solution approximation. The key to this development is the direct use of the diffuse intensity αk (Fourier transform of the pair correlations) to specify the state of clustering or short-range order in an alloy. Detailed attention is given to the formulaS XS = 1/2k B〈lnαk〉 which sets the excess entropy proportional to the mean value of the logarithm of the intensity. As an example of application, a concise analysis for pair correlations and thermodynamic properties at equilibrium is carried out. The result coincides with the spherical model for alloys, a variant of the Ising model resembling the Gaussian model of Clapp and Moss but far exceeding it in accuracy. In this manner the merit of the proposed entropy formulation is established.
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Hoffman, D.W. Configurational entropy and solute correlation in disordered alloys. Metall Trans 3, 3231–3238 (1972). https://doi.org/10.1007/BF02661338
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DOI: https://doi.org/10.1007/BF02661338