Gibb’s free energy for the crystallization of glass forming liquids

Abstract

This letter gives an approximation for the Gibb’s free energychange for the crystallization of undercooled liquid (ΔG). The present ΔG expression is arrived at by the modification of existing models. Calculations based on the present expression have shown that the ΔG values obtained for seven glass forming alloys (Au_81.4 Si_18.6, La₅₀ Al₃₀ Ni₂₀, Mg₆₅ Cu₂₅ Y₁₀, Mg₅₀ Ni₃₀ La₂₀, Pd₄₀ Ni₄₀ P₂₀, Zr₆₅ Cu_17.5 Ni₁₀ Al_7.5 and Zr_41.2 Ti_13.8 Cu_12.5 Ni₁₀ Be_22.5) compare well with the experimental ones in all the cases with a maximum deviation of 6% up to the glass transitiontemperature (T_g). The present expression is able to calculate the ΔG values accurately in a variety of glass forming alloys ranging from binary to quinary systems with a wide range of reduced glass transition temperature (T_rg = T_g/T_m) of 0.45–0.75.