One of the contributions to the enthalpy of formation ΔH of substitutional metallic solid solutions is the elastic energy due to atomic size mismatch between solute and solvent. Starting with a formula due to Eshelby and valid in the dilute regime, a multi-step process is derived which permits to generalize Eshelby's formula to the concentrated alloy regime. Miedema's chemical (liquid-like) contribution to ΔH is then added, and the final expression for δH is used to compute the free energy of formation of binary substitutional solid solutions of transition metals.
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López et al. (1984) studied this question.
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