Modified Angell Plot of Viscous Flow with Application to Silicate and Metallic Glass-Forming Liquids

Modified Angell Plot of Viscous Flow with Application to Silicate and Metallic Glass-Forming Liquids

The behavior of the Vogel–Fulcher–Tammann (VFT), Avramov and Milchev (AM) and Mauro, Yue, Ellison, Gupta and Allan (MYEGA) functions of viscous flow in relation to t = Tg/(T−To) is analyzed, where Tg is glass transition temperature and To is the temperature in the VFT equation at which the configura...

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Veröffentlicht in:International journal of applied glass science 2014-06, Vol.5 (2), p.193-205
1. Verfasser: Kozmidis-Petrović, Ana F.
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Sprache:eng
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Entropy
Fragility
Glass
Graphs
Liquids
Mathematical analysis
Silicates
Three dimensional
Viscous flow
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description The behavior of the Vogel–Fulcher–Tammann (VFT), Avramov and Milchev (AM) and Mauro, Yue, Ellison, Gupta and Allan (MYEGA) functions of viscous flow in relation to t = Tg/(T−To) is analyzed, where Tg is glass transition temperature and To is the temperature in the VFT equation at which the configurational entropy becomes zero. The Tg‐scaled Arrhenius plot (the Angell plot) has been modified. The log η−(Tg/T) relationships in the Angell plot were modified as log η–(Tg)/(T−To) relationships (Tg‐scaled VFT plot). The values of parameter m1 = d(log η)/dt│T=Tg for some silicate and metallic glass‐forming liquids are presented too. The parameter m1 still exhibits “fragility” effect as does the kinetic fragility parameter m = d(log η)/d (Tg/T)│T=Tg in the Angell plot. The plot of log ηVFT in relation to t = Tg/(T−To) is the linear function unlike the Angell plot. The dependences of log ηMYEGA and log ηAM on t are not linear. It is possible to present the dependences of log η as functions of m1 and t in the form of 3D graphs.
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subjects Entropy
Fragility
Glass
Graphs
Liquids
Mathematical analysis
Silicates
Three dimensional
Viscous flow
title Modified Angell Plot of Viscous Flow with Application to Silicate and Metallic Glass-Forming Liquids
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