Interaction Parameters in Multi-component Metallic Solutions by the Hard Sphere Model

Abstract

The characteristic features of the structure factors for many liquid metals and alloys are known to be reproduced fairly well by the hard sphere model coupled with the Percus-Yevick equation, and then various properties of liquid metals and alloys have frequently been discussed in terms of the hard sphere approximation.
With these facts in mind, the theoretical equation for the interaction parameters in multi-component metallic solutions has been presented in the framework of the hard sphere model. It was found from a series of test calculations by the present hard sphere model that the product of the difference in the hard sphere diameters between solute and solvent, (σ₀−σ₁) (σ₀−σ₂), where σ_i is the hard sphere diameter of i-component, plays a significant role in determining the sign and absolute values of the interaction parameters.
This new equation for evaluating the interaction parameters from fundamental physical constants of the components in solution has been applied to 19 cases in Cu-base, Pb-case and Sn-base solutions, and the agreement between calculation and the experimental data appears to be at the reasonable level. Numerical calculations were also carried out in 60 cases in Fe-base solutions with the relevance to steelmaking, and the calculated values of ε_Mn^j, ε_Cr^j, ε_Si^j, ε_P^j, ε_C^j and ε_H^j were found to be in reasonable agreement with the experimental data.