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In the ternary Cu–Fe–Hf system, the mixing enthalpies of liquid alloys were investigated at 1873 K using a high-temperature isoperibolic calorimeter. The experiments were performed along the sections  x  Cu / x  Fe  = 3/1, 1/1 at  x  Hf  = 0–0.47 and along the section  x  Cu / x  Fe  = 1/3 at  x  Hf  = 0–0.13. The limiting partial enthalpies of mixing of undercooled liquid hafnium in liquid Cu–Fe alloys,Δ   mixH  ¯Hf   ∞${\Delta _{{\rm{mix}}}}\bar H_{{\rm{Hf}}}^\infty $   , are (−122 ± 9) kJ mol −1  (section  x  Cu / x  Fe  = 3/1), (−106 ± 9) kJ mol −1  (section  x  Cu / x  Fe  = 1/1), and (−105 ± 2) kJ mol −1  (section  x  Cu / x  Fe  = 1/3). In the investigated composition range, the integral mixing enthalpies are sign-changing. For the integral mixing enthalpy, an analytical expression was obtained by the least squares fit of the experimental results using the Redlich–Kister–Muggianu polynomial.

Enthalpy of mixing of liquid Cu–Fe–Hf alloys at 1 873 K