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First-principles calculations and CALPHAD method are combined to obtain a thermodynamic description of the Cr–Ge–Mn and Cr–Ge–Si systems. Especially mixing enthalpy in substituting solid solutions (Cr/Mn or Ge/Si) is calculated at 0K using the Density Functional Theory. These data are then used together with available literature data to obtain a description of the ternary systems.
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