An equation expressing the transformation curve for crystallization of metallic glasses has been proposed by using two parameters, viscosity and melting temperature (T m ). The Vogel-Fulcher-Tammann (VFT) equation, η = η 0 exp(B/(T - T 0 )) where η 0 , B and To (ideal glass transition temperature) are empirical parameters, was used for expressing the viscosity. A Time-reduced Temperature-Transformation (T-T r -T) diagram was calculated using the following five quantities: reduced temperature (Tr = T/T m ), three reduced viscosity parameters (η 0r = η 0 /T m , B r = B/T m and T 0r = T 0 /T m ), and reduced critical cooling rate (R cr = R c /T m ) for formation of the glassy phase. The R cr in the T-T r -T diagram was calculated for Ni, metallic glasses and SiO 2 The glass-forming ability (GFA) was estimated from T 0r -R cr (R cr = R c / T m ) diagrams corresponding to T g / T m - R c diagrams obtained experimentally. The metallic glasses with T 0r of 0.55 are calculated to have R cr ranging from 10 -5 to 10 0 s -1 , which agrees with the experimental data that metallic glasses with T g /T m of 0.6 or more have R c of less than 10 3 K/s. The following three points are clarified: (1) the higher GFA of metallic glass is achieved because of higher viscosity, (2) higher viscosity causes both the homogeneous nucleation frequency (I hom v ) and the ratio I N /I max ), at reduced nose temperature against the maximum of I hom v , to decrease, and (3) the R cr is numerically derived from reduced viscosity parameters.
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