“…Using thermodynamic calculations, the Scheil–Gulliver model can be employed to simulate the non-equilibrium solidification process of as-cast alloys [ 19 ]. In our previous work, the RE-Fe (RE = Pr, Nd, Sm, Gd, Dy, Tb, Ho, Tm, Lu, Y) [ 20 , 21 , 22 , 23 , 24 ], RE-B (RE = La, Ce, Pr, Nd, Sm, Gd, Dy, Tb, Ho, Tm, Lu, Y) [ 25 , 26 , 27 ], and RE 1 -RE 2 binary systems [ 28 ] were calculated, and then thermodynamic calculations of the RE 1 -RE 2 -Fe (e.g., La-Ce-Fe and Ce-Nd-Fe [ 29 ], La-Pr-Fe and Ce-Pr-Fe [ 30 ]) ternary systems and the Nd-Fe-B ternary system [ 31 ] were performed. Furthermore, the development of a thermodynamic database of Nd-Dy-Tb-Fe-B magnets is in progress in our group.…”