Thermodynamic assessment of the B–Ce and B–Pr systems

• The B–Ce and B–Pr binary systems have been assessed by using the CALPHAD method.
• The intermediate compounds which have homogeneity range were described by the two-sublattice model.
• The thermodynamic parameters of the B–Ce and B–Pr binary systems were obtained.
• An agreement between the calculated results and experimental data was obtained for the binary systems.

By using the Calculation of Phase Diagrams (CALPHAD) technique, the thermodynamic assessments of the B–Re (Re: Ce, Pr) binary system were carried out based on the experimental data including thermodynamic properties and phase equilibria. Gibbs free energies of the solution phases (liquid, fcc, bcc, dhcp) were modeled by the subregular solution model with the Redlich–Kister equation, and those of the intermediate compounds (B4Ce, B6Ce, B5Pr2, B4Pr, B6Pr) were described by the two-sublattice model. A consistent set of thermodynamic parameters leading to reasonable agreement between the present calculated results and experimental data was obtained.