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Ye et al. J Mater Inf 2023;3:15  https://dx.doi.org/10.20517/jmi.2023.08        Page 23 of 37

               Table 11. Temperatures of formation reaction for Fe-RE intermetallic compounds
                Systems          Fe RE 2        Fe RE 6        Fe RE 5        Fe RE         Fe RE
                                                                 17
                                                 23
                                                                               3
                                   17
                                                                                             2
                Fe-La            —              —              —              —             —
                                     P                                                          P
                Fe-Ce            1344.6         —              —              —             1205.6
                                     P
                Fe-Pr            1383.0         —              —              —             —
                                     P                             P
                Fe-Nd            1490.0         —              1071.0         —             —
                                     P                                            P             P
                Fe-Sm            1557.0         —              —              1287.0        1174.0
                Fe-Gd            1604.0 P       1556.0 P       —              1429.0 P      1354.5 P
                                     C             C                              P             P
                Fe-Tb            1587.5         1561.1         —              1486.0        1462.7
                Fe-Dy            1651.0 C       1567.4 P       —              1576.4 C      1545.5 P
                                     C              C                             P             C
                Fe-Ho            1615.6         1605.2         —              1567.6        1565.0
                Fe-Er            1625.1 P       1602.7 P       —              1615.0 P      1640.4 C
                                     P              P                             P             C
                Fe-Tm            1573.4         1544.6         —              1552.5        1572.6
                Fe-Lu            1590.1 P       1560.9 P       —              1580.4 P      1619.6 C
                                     C              C                             C             P
                Fe-Y             1650.1         1603.0         —              1605.5        1421.0
               C: Congruent; P: peritectic.





























                Figure 13. Calculated enthalpies of formation of the Fe-Er intermetallic compounds at 298 K with the experimental data [44,54,103]  and the
                calculations [19,110-112,140,141] .


               Fe RE  only exists in the Fe-Nd binary system, and Fe RE  is stable in the Fe-RE (apart from Fe-La) binary
                                                             17
                                                                 2
                     5
                 17
               systems.
               The types and temperatures of the invariant reactions for the formation of the Fe-RE (e.g., Fe RE , Fe RE,
                                                                                               17
                                                                                                   2
                                                                                                      3
               Fe RE, and Fe RE ) intermetallic compounds are demonstrated in Figure 28 and Table 11. As can be easily
                           23
                               6
                 2
               seen in the Fe-RE (RE = Ce, Pr, Nd, Sm, Gd, Er, Tm, and Lu) binary systems, Fe RE  is produced through
                                                                                    17
                                                                                       2
               the peritectic reaction, but by the congruent reaction in the Fe-RE (RE = Tb, Dy, Ho, and Y) binary systems;
               Fe RE  is produced by the congruent reaction in the Fe-RE (RE = Tb, Ho, and Y) binary systems, but by
                 23
                     6
               peritectic reaction in the Fe-RE (RE = Gd, Dy, Er, Tm, Lu, and Y) binary systems; Fe RE is produced by the
                                                                                      3
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