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Correlation Between Thermodynamic and Kinetic Properties of Glass-Forming Liquids

Published online by Cambridge University Press:  01 February 2011

Oleg N. Senkov  and
Daniel B. Miracle
Oleg N. Senkov
Affiliation:
oleg.senkov@wpafb.af.mil, UES, Inc., Materials and Processes Division, 4401 Dayton-Xenia Rd., Dayton, OH, 45432-1894, United States, 937-255-1320, 937-656-7292
Daniel B. Miracle
Affiliation:
daniel.miracle@wpafb.af.mil, Air Force Research Laboratory, Materials and Manufacturing Directorate, Wright-Patterson AFB, OH, 45433, United States
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Abstract

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.

Keywords

amorphouskineticsliquid
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1048: Symposium Z – Bulk Metallic Glasses–2007 , 2007 , 1048-Z02-10
Copyright
Copyright © Materials Research Society 2008

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References

1 Angell, C.A., J. Non-Cryst. Solids, 131–133 (1991) 13–31.Google Scholar
2 Debenedetti, P.G., Metastable Liquids (Princeton University Press, Princeton, NJ, 1997).Google Scholar
3 Dyre, J.C., Rev. Mod. Phys. 78 (2006) 953–973.Google Scholar
4 Zaezycki, J., Glasses and the Vitreous State, (Cambridge Univ. Press, Cambridge, 1991).Google Scholar
5 Bohmer, R., Ngai, K.L., Angell, C.A., Plazek, D.J., J. Chem. Phys. 99 (1993) 4201–4209.Google Scholar
6 Wang, L.M., Velikov, V., Angell, C.A., J. Chem. Phys. 117 (2002) 101184–10192.Google Scholar
7 Martinez, L.M. and Angell, C.A., Nature 410 (2001) 663–667.Google Scholar
8 Ito, K., Moynihan, C.T., Angell, C.A., Nature 398 (1999) 492–495.Google Scholar
9 Sastry, S., Nature, 409 (2001) 164–167.Google Scholar
10 Fan, G.J., Choo, H., Liaw, P.K., J. Non-Cryst. Solids 351 (2005) 3879–3883.Google Scholar
11 Debenedetti, P.G. and Stillinger, F.H., Nature 410 (2001) 259–267.Google Scholar
12 Adams, G. and Gibbs, J.H., J. Chem. Phys. 43 (1965) 139–146.Google Scholar
13 Johari, , J. Chem. Phys. 116 (2002) 2043–2046.Google Scholar
14 Johari, G.P., J. Phys. Chem. B 107 (2003) 5048–5051.Google Scholar
15 Tanaka, H., Phys. Rev. Letters 90 (2003) 055701–1.Google Scholar
16http://webbook.nist.gov/chemistry/.Google Scholar
17 Wang, L.M., Angell, C.A., and Richert, R., J. Chem Phys. 25 (2006) 074505.Google Scholar
18 Angell, C.A., J. Res. NIST, 102 (1997) 171–185.Google Scholar
19 Soltwisch, M., Kisliuk, A., Bogdanov, V., Mamedov, S., Stachel, D. and Quitmann, D., Phil. Mag. 79 (1999) 1857–1869.Google Scholar
20 Sipp, A., Bottinga, Y., Richet, P., J. Non-Cryst. Solids 288 (2001) 166–174.Google Scholar
21 Plazek, D.J. and Ngai, K.L., Macromolecules 24 (1991) 1222–1224.Google Scholar
22 Bohmer, R. and Angell, C.A., Phys. Rev. B 45 (1992) 10091–10094.Google Scholar
23 Ngai, K.L., Yamamuro, O., J. Chem. Phys. 111 (1999) 10403–10406.Google Scholar