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Published online by Cambridge University Press: 01 February 2011
Correlations between three characteristic temperatures: glass transition, Tg , Kauzmann, Tk , and Vogel-Fulcher-Tammann, To , were identified from the analysis of more than 60 metallic and non-metallic glass-forming materials. It was found that Tg ≥ Tk ≥ To and Tk is the geometric mean of Tg and To . The relation Tk ≥ To indicates that the excess total entropy of a super-cooled liquid ΔS approaches zero at a higher temperature than the configurational entropy ΔSconf , and such behavior was explained by the stronger temperature dependence of the excess vibrational entropy of the liquid, ΔSvib , than that of the corresponding glass,
. A relationship between the fragility index m, reduced excess heat capacity ΔCp (Tg )/Sm , and reduced glass transition temperature, Trg , was identified using the found correlation between the characteristic temperatures.