Thermodynamic modeling of the Cr–Pt binary system using the cluster/site approximation coupling with first-principles energetics calculation Original Research Article

A thermodynamic description of Cr–Pt was developed in this study by combining first-principles calculation with the Calphad approach. The 0 K enthalpies of formation of Cr3Pt (A15), the ordered CrxPt1−x face-centered cubic (fcc) L12 compounds at x(Pt) = 0.25 and 0.75 and L10 compound at x(Pt) = 0.5 were obtained from first-principles calculation. They were used for optimizing the Gibbs energies of the corresponding phases in the Cr–Pt system. The cluster/site approximation (CSA) model was employed to model the phases in the fcc family: ordered L12, L10 and disordered A1 (they are also referred to as the three states of fcc phase). The phase boundaries and thermodynamic properties calculated from the current thermodynamic description are in good agreement with the experimental data as well as the first-principles calculation. The stability of the three fcc states and the order–disorder transition of L12/A1 and L10/A1 are reasonably described by the current description.