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Page 24 of 37                           Ye et al. J Mater Inf 2023;3:15  https://dx.doi.org/10.20517/jmi.2023.08























                Figure 14. The calculated (A) heat capacity, (B) the entropy of formation and (C) the enthalpy difference                     of Fe Er with the
                experimental data [101]  and the calculated results [110-112] .































                        Figure 15. Calculated Fe-Lu binary phase diagram with (A) the calculations [90]  and (B) the experimental data [88] .

               congruent reaction in the Fe-Dy and Fe-Y binary systems, but by the peritectic reaction in the
               Fe-RE (RE = Sm, Gd, Tb, Ho, Er, Tm, and Lu) binary systems; Fe RE is produced through the peritectic
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               reaction in the Fe-RE (RE = Ce, Sm, Gd, Tb, Dy, and Y) binary systems, but through the congruent reaction
               in the Fe-RE (RE=Ho, Er, Tm, and Lu) binary systems. The melting points of RE metals increase gradually
               with the RE atomic number increases, and the reaction temperatures and types for the intermetallic
               compounds show a similar trend. In general, the reaction temperatures of Fe RE , Fe RE, and Fe RE in the
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               Fe-RE (RE = Ce, Pr, Nd, Sm, Gd, Tb, Dy, Ho, Er, Tm, and Lu) binary systems become higher with the
               increase of the RE atomic number. The reaction temperature of Fe RE  also displays this trend in the Fe-RE
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               (RE = Gd, Tb, Dy, Ho, and Er) binary systems, but it is not clear in the Fe-Tm and Fe-Lu binary systems.
               Thermodynamic properties
               Figure 29 depicts the calculated enthalpy of mixing of liquid Fe-RE alloys. It was found that the enthalpy of
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