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Ye et al. J Mater Inf 2023;3:15 https://dx.doi.org/10.20517/jmi.2023.08 Page 13 of 37

Table 7. Invariant reactions of the Fe-Dy binary system
Reactions Reaction type Temperature (K) Composition () Reference
bcc(δ-Fe) ↔ fcc(γ-Fe) + L Metatectic 1663.0 0.085 [99] (exp.)
1667.9 0.070 [104] (cal.)
1667.5 0.060 [105] (cal.)
1662.0 0.060 [27] (cal.)
1664.0 0.055 This work (cal.)
Fe Dy + fcc(γ-Fe) ↔ bcc(α-Fe) Peritectoid 1183.0 [99] (exp.)
2
17
1184.8 [104] (cal.)
1184.8 [105] (cal.)
1185.0 [27] (cal.)
1184.8 This work (cal.)
L ↔ Fe Dy + fcc(γ-Fe) Eutectic 1633.0 0.090 [96] (exp.)
17 2
1641.7 0.083 [104] (cal.)
1630.7 0.078 [105] (cal.)
1639.0 [83] (cal.)
1638.0 0.074 [19] (cal.)
1634.0 0.080 [27] (cal.)
1630.0 0.066 This work(cal.)
L ↔ Fe Dy 2 Congruent 1648.0 0.105 [96] (exp.)
17
1644.8 0.105 [104] (cal.)
1637.5 0.105 [105] (cal.)
1640.0 0.105 [83] (cal.)
1649.0 0.105 [19] (cal.)
1647.0 0.105 [27] (cal.)
1651.0 0.105 This work(cal.)
L + Fe Dy ↔ Fe Dy 6 Peritectic 1563.0 0.212 [96] (exp.)
17
2
23
1561.9 0.218 [105] (cal.)
1574.0 0.210 [19] (cal.)
1565.0 0.212 [27] (cal.)
1567.4 0.209 This work (cal.)
L ↔ Fe Dy + Fe Dy Eutectic 1558.0 0.225 [96] (exp.)
23
6
3
1561.0 0.225 [105] (cal.)
1573.0 0.215 [19] (cal.)
1557.0 0.221 [27] (cal.)
1567.3 0.212 This work (cal.)
L ↔ Fe Dy Congruent 1578.0 0.250 [96] (exp.)
3
1581.8 0.250 [104] (cal.)
1563.5 0.250 [105] (cal.)
1580.0 0.250 [83] (cal.)
1580.0 0.250 [19] (cal.)
1579.0 0.250 [27] (cal.)
1576.4 0.250 This work (cal.)
L + Fe Dy ↔ Fe Dy Peritectic 1543.0 0.401 [96] (exp.)
3
2
1542.9 0.363 [104] (cal.)
1535.9 0.335 [105] (cal.)
1545.0 [83] (cal.)
1548.0 0.339 [19] (cal.)
1547.0 0.390 [27] (cal.)
1545.5 0.335 This work (cal.)
L ↔ Fe Dy + hcp-Dy Eutectic 1163.0 0.715 [96] (exp.)
2
1162.1 0.716 [104] (cal.)
1165.3 0.717 [105] (cal.)
1164.0 0.730 [83] (cal.)
1161.0 0.691 [19] (cal.)
1161.0 0.710 [27] (cal.)
1160.0 0.696 This work(cal.)
[88]
Figure 15B, the present calculations agree with the results . Table 9 displays the calculated results of
[88]
invariant reactions with the measured data . The results of two eutectic reactions, L ↔ Fe Lu + Fe Lu
17
23
6
2
and L ↔ Fe Lu + hcp-Lu, are calculated to be 1,559.9 K and 18.4 at.% Lu and 1,240.3 K and 64.2 at.% Lu,
2
respectively. The congruent melting of Fe Lu (L ↔ Fe Lu) is calculated to be 1,619.6 K, while those of four
2
2
peritectic reactions, L + bcc-Fe ↔ fcc-Fe, L + fcc-Fe ↔ Fe Lu , L + Fe Lu ↔ Fe Lu , and L + Fe Lu ↔ Fe Lu,
2
17
3
3
23
2
6
are calculated to be 1,667.5 K, 1,590.1 K, 1,560.9 K, and 1,580.4 K, respectively. These present calculations