Calculation of liquid-solid interfacial free energy in Pb-Cu binary immiscible system

Based on the solid-liquid interfacial free energy theory of the complex Warren binary and pseudo-binary system and through the simplification of it by taking Pb-Cu binary system as an example, the physical model for it in binary immiscible system can be obtained. Next, its thermodynamic formula is derived to obtain a theoretical formula that only contains two parameters, and comparisons are made with regard to γ_SL calculated values and experimental values of MPE (multiphase equilibrium method) under several kinds of temperatures. As manifested in the outcomes, the improved physical model and theoretical formula will become not only easy to understand but also simple for calculation (the calculated value of γ_SL depends on two parameters, i.e. temperature and percentage composition of Cu atom). It can be treated as the foundation of application for the γ_SL calculation of liquid-solid interfacial free energy in other immiscible systems.