Interaction of Components in Cu–Fe Glass-Forming Melts with Titanium, Zirconium, and Hafnium. II. Temperature–Concentration Dependence of Thermodynamic Mixing Functions

Abstract

The formalism of the associated solution model for ternary melts with both strongly interacting components and components exhibiting repulsion is described. A set of model parameters that adequately describe the thermodynamic properties of melts of three-component Cu–Fe–(Ti, Zr, Hf) systems and boundary two-component systems is established. The thermodynamic mixing functions of ternary melts are calculated in the entire range of compositions and over a wide range of temperatures. In most of the concentration triangle, the thermodynamic properties of melts are characterized by negative deviations from ideal behavior. The thermodynamic properties of melts adjacent to the copper–iron side of the concentration triangle are characterized by positive deviations from the Raoult law. The range of values and topology of the excess thermodynamic mixing functions of Cu–Fe–(Ti, Zr, Hf) melts are determined by pair interactions of the components.