Appendix B (Thermodynamic Calculation) The thermodynamic calculation was carried out to identify whether the potential composition would undergo phase separation in the liquid state during rapid solidification. Using a subregular solution model, the Gibbs free energy of the liquid (Gmix) can be obtained from the expression Here the first term refers to the contribution purely from elemental properties without interaction, is the atomic fraction of the component (Zr, Cu, Al, and Nb), and is the xi i Gi free energy of component in the reference state. The second term refers to the ideal mixing i contribution, and is the gas constant (8.314 J mol−1k−1). The third term refers to the R excess free energy, is the order of the term considered, and is the interaction parameter υ ωij between the and components, which can be obtained from Thermo-Calc software. i j (1) Pure elements contribution
Appendix B (Thermodynamic Calculation) The thermodynamic calculation was carried out to identify whether the potential composition would undergo phase separation in the liquid state during rapid solidification. Using a subregular solution model, the Gibbs free energy of the liquid (Gmix) can be obtained from the expression Here the first term refers to the contribution purely from elemental properties without interaction, xi is the atomic fraction of the component i (Zr, Cu, Al, and Nb), and Gi is the free energy of component i in the reference state. The second term refers to the ideal mixing contribution, and R is the gas constant (8.314 J mol−1k−1). The third term refers to the excess free energy, υ is the order of the term considered, and ωij is the interaction parameter between the i and j components, which can be obtained from Thermo-Calc software. (1) Pure elements contribution
Shuang%20thesis.docx