Formalism of new ternary model expressed in terms of binary regular-solution type parameters

In the previous paper, we have presented a new method for calculating ternary thermodynamic properties based on three binaries. This new model can overcome the inherent defects for both current symmetrical and asymmetrical models and can combine two kinds of current models into one. More important, it can eventually realize the computerization for calculating thermodynamic properties and phase diagrams for multicomponent systems. In this paper we will give this new model a new formalism based on binary regular-solution type parameters. When this model is applied, all we need to do is substitute these parameters into formulae presented here and evaluate them by using a simple calculator. Since a large number of real systems can be approximately fit through a regular-solution type model, therefore, this new formalism is significant.