Thermodynamic criterion for judging the symmetry of ternary systems and criterion applications

Calculation of glass forming ranges in Al–Ni–RE (Ce, La, Y) ternary alloys and their sub-binaries based on Miedema's model

“…However, the choice of asymmetric constituent is not straightforward in Toop's model, and need to be adjusted by one's experience. Yan et al [33] and Qiao et al [34] have proposed a criterion of judging the asymmetric component in the ternary system, where the common component in two sub-binary systems with thermodynamic similarities should be chosen as the asymmetric component.…”

Enthalpy of mixing of liquid (gallium–gadolinium–silicon) alloys measured by high-temperature isoperibolic calorimetry

“…In the case where the thermodynamics of one of the boundaries differs significantly from the two others, it is logical to use asymmetric geometric models [24]. It should be mentioned, that in the case of the asymmetric model implementation, an imaginary contradiction between the asymmetric D mix H cal function and the symmetric DD mix H function occurs.…”

Thermodynamic properties of liquid Al–Ge–Sn alloys: Part I. Calorimetric study

“…Among the boundaries the negative D mix H are observed for Al-Ge system, whereas Al-Sn and Ge-Sn systems are characterised by positive D mix H values. In this case, when the thermodynamics of one of the boundaries differs significantly from thermodynamics of two others, it is logical to use the non-symmetric models [16].…”