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Schematic of liquid–solid transition of metallic glass forming systems, showing GT and FC temperature ranges. GT zone is determined based on available experimental data of glass transition temperatures (see Refs. 32–34), and FC zone is evaluated by the temperatures where minimum crystallization times are needed in TTT curves, as shown in inset. The metallic alloys are (1) , (2) , (3) , (4) , (5) Vit 1, (6) , and (7) Vit 1 (see Refs. 36–41).
Dependence of the Gibbs free energy difference between an undercooled liquid and its equilibrium crystal on fragility in terms of Eq. (1). Liquid-crystal heat capacity difference is addressed with a general expression, [ (a), (b), and (c)]. , , and are the melting point, enthalpy and entropy of fusion, and is an undercooling. Three typical fragility indexes (, 80, and 120) are selected to cover most glass-forming-liquids from strong to fragile. The shadow areas indicate the temperature ranges of experimentally accessible GT and FC for the majority of glass forming liquids.
Angell plot showing the fragility effect on the viscosity of undercooled liquids in the temperature region of FC.
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