On the pressure evolution of the melting temperature and the glass transition temperature

Aleksandra Drozd-Rzoska, Sylwester J. Rzoska, A. Imre

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The evolution of the melting temperature (Tm) and the glass temperature (Tg) from negative pressures up to very high pressures is discussed. It is based on the relation, Tg,m (P) = Tg,m0 [1 + Δ P / (πg,m + Pg,m0)1 / b] exp (Δ P / c) where (Tg,m0, Pg,m0) are the reference temperature and pressure, Δ P = P - Pg,m0, c is the damping pressure coefficient and -πg,m estimates the negative pressure asymptote. Contrary to approximations used so far it is governed solely on pressure invariant coefficients πg,m, b and c. Their reliable estimation is possible basing on experimental data even limited to a moderate range of pressures. Both for Tm(P) and Tg(P) a possible maximum at extreme pressures and a negative pressure asymptote is suggested. The analysis was carried out for sodium, (Ca, Al)(Al, Si)O3 magmatic mixture, liquid crystalline 5CB, germanium, magmatic melt albite, selenium and epoxy resin EPON 828. For 5CB the isotropic-nematic orientational freezing was discussed, including the negative pressures domain. For EPON 828 the supplementary dielectric relaxation time (τ(P)) measurements were carried out. For the latter the analysis of τ(P) evolution is based on the modified Vogel-Fulcher-Tammann (VFT) equation, which makes an insight into the negative pressure domain possible: τ (P) = τ0P exp [DP (P - PS) / (P - P0)], where P0 is the ideal glass VFT estimation, where DP is the fragility strength coefficient and PS is linked to the absolute stability limit. The obtained dependences enabled to address the question does fragility depends on pressure. For selenium both Tm(P) and Tg(P) behavior were possible to analyze, what yielded the experimental pressure dependence of the Turnbull's Tg/Tm glass forming ability factor (GFA), linking the glass temperature and the melting temperature.

Original languageEnglish
Pages (from-to)3915-3923
Number of pages9
JournalJournal of Non-Crystalline Solids
Volume353
Issue number41-43
DOIs
Publication statusPublished - Nov 1 2007

Fingerprint

glass transition temperature
Melting point
melting
temperature
asymptotes
glass
Glass
selenium
resins
Selenium
Glass transition temperature
Temperature
coefficients
Germanium
Epoxy Resins
epoxy resins
Dielectric relaxation
pressure dependence
freezing
germanium

Keywords

  • Dielectric properties, relaxation, electric modulus
  • Fragility
  • Glass transition
  • Liquid crystals and molecular liquids
  • Pressure effects
  • Thermodynamics

ASJC Scopus subject areas

  • Ceramics and Composites
  • Electronic, Optical and Magnetic Materials

Cite this

On the pressure evolution of the melting temperature and the glass transition temperature. / Drozd-Rzoska, Aleksandra; Rzoska, Sylwester J.; Imre, A.

In: Journal of Non-Crystalline Solids, Vol. 353, No. 41-43, 01.11.2007, p. 3915-3923.

Research output: Contribution to journalArticle

Drozd-Rzoska, Aleksandra ; Rzoska, Sylwester J. ; Imre, A. / On the pressure evolution of the melting temperature and the glass transition temperature. In: Journal of Non-Crystalline Solids. 2007 ; Vol. 353, No. 41-43. pp. 3915-3923.
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AB - The evolution of the melting temperature (Tm) and the glass temperature (Tg) from negative pressures up to very high pressures is discussed. It is based on the relation, Tg,m (P) = Tg,m0 [1 + Δ P / (πg,m + Pg,m0)1 / b] exp (Δ P / c) where (Tg,m0, Pg,m0) are the reference temperature and pressure, Δ P = P - Pg,m0, c is the damping pressure coefficient and -πg,m estimates the negative pressure asymptote. Contrary to approximations used so far it is governed solely on pressure invariant coefficients πg,m, b and c. Their reliable estimation is possible basing on experimental data even limited to a moderate range of pressures. Both for Tm(P) and Tg(P) a possible maximum at extreme pressures and a negative pressure asymptote is suggested. The analysis was carried out for sodium, (Ca, Al)(Al, Si)O3 magmatic mixture, liquid crystalline 5CB, germanium, magmatic melt albite, selenium and epoxy resin EPON 828. For 5CB the isotropic-nematic orientational freezing was discussed, including the negative pressures domain. For EPON 828 the supplementary dielectric relaxation time (τ(P)) measurements were carried out. For the latter the analysis of τ(P) evolution is based on the modified Vogel-Fulcher-Tammann (VFT) equation, which makes an insight into the negative pressure domain possible: τ (P) = τ0P exp [DP (P - PS) / (P - P0)], where P0 is the ideal glass VFT estimation, where DP is the fragility strength coefficient and PS is linked to the absolute stability limit. The obtained dependences enabled to address the question does fragility depends on pressure. For selenium both Tm(P) and Tg(P) behavior were possible to analyze, what yielded the experimental pressure dependence of the Turnbull's Tg/Tm glass forming ability factor (GFA), linking the glass temperature and the melting temperature.

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