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The supercooled liquid range (∆Tx) was calculated on the basis of the free volume theory proposed by Beukel and Sietsma. A differential equation which expresses the change in free volume from a non-equilibrium to an equilibrium state has been analyzed numerically for Ni, metallic glasses and SiO2 systems. The Vogel-Fulcher-Tammann (VFT) equation for viscosity was used to define the equilibrium free volume. The maximum ∆Tx was calculated as 56 K for the SiO2 system. The calculated ∆Tx was approximately six times smaller than the experimental result. The calculation results of the log Rc (Rc: critical cooling rate for glass formation)- ∆Tx diagram shows a tendency similar to the experimental result; log Rc decreases linearly with increasing ∆Tx. An approximate solution of the differential equation was also obtained with elementary functions. It was found that the glass transition temperature ( Tg) and ∆Tx can be obtained schematically in the free-volumetemperature diagram. All the factors expressing the glass-forming ability of the metallic glasses can be derived from the VFT parameters.

Calculation of Supercooled Liquid Range and Estimation of Glass-Forming Ability of Metallic Glasses using the Vogel-Fulcher-Tammann Equation