Calculations of mixing enthalpy and mismatch entropy for ternary amorphous alloys

Chemical mixing enthalpy (DeltaH(Chem)) and mismatch entropy normalized by Boltzmann constant (S-sigma/k(B)) corresponding to the three empirical rules for the achievement of high amorphous-forming ability (AFA) were calculated with thermodynamical functions for the gross number of 6450 alloys in 351 ternary amorphous systems. The ternary amorphous alloys have DeltaH(chem) Of -86 to 25 kJ/mol and S-sigma/k(B) of 1.8 x 10(-3) to 5.7. The average values of DeltaH(chem) and S-sigma/k(B) are calculated to be -33 J/mol and 0.33, respectively. The 30 alloys in 9 ternary amorphous systems including 10 alloys in Ag-Cu-Fe system have positive values of DeltaH(chem). Most of the ternary amorphous alloys have the values of DeltaH(chem) and S-sigma/k(B) inside a trapezoid region in DeltaH(chem) - log(S-sigma/k(B)) chart except mainly for the H- and the C-containing alloys, Si-W-Zr system and the 32 alleys having positive values of DeltaH(chem). The analysis of AFA was carried out for typical five ternary amorphous systems. The following four results are derived. 1)Al-La-Ni and B-Fe-Zr alloys have high AFA in accordance with the concept of the three empirical rules. 2) The further multiplication of alloy components causes an increase in the AFA of Al-B-Fe alloys. 3) Thermodynamical factors represented by melting temperature and viscosity at the melting temperature are required for evaluation of AFA for Mg- and Pd-based amorphous alloys. 4) A tendency for log(S-sigma/k(B)) to increase with decreasing DeltaH(chem) is recognized in each alloys system, implying the stabilization of an amorphous phase against solid solution and intermediate phase.