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Page 14 of 37 Ye et al. J Mater Inf 2023;3:15 https://dx.doi.org/10.20517/jmi.2023.08

Table 8. Invariant reactions of the Fe-Er binary system
Reactions Reaction type Temperature (K) Composition () Reference
bcc(δ-Fe) ↔ fcc(γ-Fe) + L Metatectic 1658.0 0.100 [106] (exp.)
1667.5 0.081 [110] (cal.)
1658.0 0.082 [111] (cal.)
1658.0 0.089 [112] (cal.)
1661.5 0.084 This work (cal.)
Fe Er + fcc(γ-Fe) ↔ bcc(α-Fe) Peritectoid 1184.8 This work
2
17
L + fcc(γ-Fe) ↔ Fe Er Peritectic 1628.0 0.104 [106] (exp.)
17 2
1616.0 0.105 [110] (cal.)
1619.0 0.105 [111] (cal.)
1626.0 0.108 [112] (cal.)
1630.0 0.106 [19] (cal.)
1625.1 0.106 This work (cal.)
L ↔ Fe Er + Fe Er Eutectic 1588.0 0.165 [106] (exp.)
17 2 23 6
1599.0 0.174 [110] (cal.)
1600.0 0.181 [111] (cal.)
1600.5 0.178 [112] (cal.)
1581.0 0.171 [19] (cal.)
1601.8 0.182 This work (cal.)
L+ Fe Er ↔ Fe Er 6 Peritectic 1603.0 0.197 [106] (exp.)
23
3
1601.0 0.191 [110] (cal.)
1600.0 0.182 [111] (cal.)
1602.7 0.190 [112] (cal.)
1595.0 0.202 [19] (cal.)
1602.7 0.189 This work (cal.)
L + Fe Er ↔ Fe Er Peritectic 1618.0 0.248 [106] (exp.)
2
3
1611.0 0.240 [110] (cal.)
1611.0 0.235 [111] (cal.)
1615.7 0.250 [112] (cal.)
1612.0 0.279 [19] (cal.)
1615.0 0.250 This work (cal.)
L ↔ Fe Er Congruent 1633.0 0.333 [106] (exp.)
2
1632.0 0.333 [110] (cal.)
1633.0 0.333 [111] (cal.)
1636.0 0.333 [112] (cal.)
1633.0 0.333 [19] (cal.)
1640.4 0.333 This work (cal.)
L ↔ Fe Er + hcp-Er Eutectic 1188.0 0.700 [106] (exp.)
2
1185.0 0.692 [110] (cal.)
1189.0 0.719 [111] (cal.)
1187.9 0.687 [112] (cal.)
1189.0 0.684 [19] (cal.)
1185.6 0.669 This work (cal.)
[88]
results are in accordance with the reported results .
Figure 16 shows the calculated enthalpy of mixing of liquid Fe-Lu alloys at 1,950 K with the measured
results and the calculations . A significant deviation between the calculations and the experimental
[53]
[90]
[90]
data is found, while the present calculations agree with the experimental data . In Figure 17, the partial
[53]
[53]
enthalpy of mixing of Fe and Lu in liquid Fe-Lu alloys is calculated and compared with the measured
[53]
results and the calculations . It is obvious that our calculations are accordant well with the measured
[90]
data , while the calculations show large deviations.
[90]
[53]
Figure 18 depicts the calculated enthalpy of formation of the Fe-Lu compounds at 298 K with the measured
results [44,54] and the calculations [19,90,140,141] . The enthalpy of formation of Fe Lu , Fe Lu , Fe Lu, and Fe Lu are
2
17
23
3
2
6
calculated to be -3.69, -8.762, -10.615, and -11.957 kJ/mol-atom, respectively. The presently calculated
enthalpy of formation of Fe Lu is in accordance with the measured data , while the calculated that of
[54]
17
2
Fe Lu is slightly lower than the measured data . It is worth mentioning that the measured enthalpy of
[44]
2