Calculation of supercooled liquid range and estimation of glass-forming ability of metallic glasses using the Vogel-Fulcher-Tammann equation

Akira Takeuchi, Akihisa Inoue

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The supercooled liquid range (ΔTx) 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 ΔTx was calculated as 56 K for the SiO2 system. The calculated ΔTx was approximately six times smaller than the experimental result. The calculation results of the log Rc (Rc: critical cooling rate for glass formation)-ΔTx diagram shows a tendency similar to the experimental result; log Rc decreases linearly with increasing ΔTx. An approximate solution of the differential equation was also obtained with elementary functions. It was found that the glass transition temperature (Tg) and ΔTx can be obtained schematically in the free-volume-temperature diagram. All the factors expressing the glass-forming ability of the metallic glasses can be derived from the VFT parameters.

Original languageEnglish
Pages (from-to)1205-1213
Number of pages9
JournalMaterials Transactions
Volume43
Issue number5
DOIs
Publication statusPublished - 2002 May

Keywords

  • Free volume
  • Glass transition temperature
  • Glass-forming ability
  • Metallic glass
  • Specific heat
  • Supercooled liquid range
  • Viscosity
  • Vogel-Fulcher-Tammann equation

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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