Abstract
The dependence of the fragility on the Grüneisen lattice parameter, which is a measure of the anharmonicity of lattice vibrations, is established for lead silicate and sodium borate glasses. An expression relating the fragility of glasses to the parameters of the Williams-Landell-Ferry equation is obtained. The calculation performed using this expression is in agreement with the results of the conventional determination of the fragility.
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Angell, C.A., Perspective on the Glass Transition, J. Phys. Chem. Solids, 1988, vol. 49, no. 8, pp. 836–871.
Novikov, V.N., Vibration Anharmonicity and Fast Relaxation in the Region of Glass Transition, Phys. Rev. B: Condens. Matter, 1998, vol. 58, pp. 8367–8378.
Sokolov, A.P., Rossler, E., Kisliuk, A., and Quitman, D., Dynamics of Strong and Fragile Glassformers: Differences, Phys. Rev. Lett., 1993, vol. 71, pp. 2062–2065.
Bordat, P., Affouard, F., Descamps, M., and Ngai, K.L., Does the Interaction Potential Determine Both the Fragility of a Liquid and the Vibrational Properties of Its Glassy State? Preprint at http://arXiv.cond.mat./0401117, 2004.
Novikov, V.N. and Sokolov, A.P., Poisson’s Ratio and the Fragility of Glass-Forming Liquids, Nature (London), 2004, vol. 431, pp. 961–963.
Ferry, J.D., Viscoelastic Properties of Polymers, New York, Wiley, 1961. Translated under the title Vyazkouprugie svoistva polimerov, Moscow: Inostrannaya Literatura, 1963.
Sanditov, D.S., Condition of Glass Transition in Liquids and Lindemann’s Criterion of Melting in the Excited Atom Model, Dokl. Akad. Nauk, 2003, vol. 390, no. 2, pp. 209–213 [Dokl. Phys. Chem. (Engl. transl.), 2003, vol. 390, no. 1–3, pp. 122–125].
Sanditov, D.S., The Model of Excited Atoms and Viscoelastic Properties of Polymers and Glasses, Vysokomol. Soedin., Ser. A, 2005, vol. 47, no. 3, pp. 478–489 [Polym. Sci., Ser. A (Engl. transl.), 2005, vol. 47, no. 3, pp. 289–298].
Sanditov, D.S. and Barteniev, G.M., Fizicheskie svoistva neuporyadochennykh struktur (The Physical Properties of Disordered Structures), Novosibirsk: Nauka, 1982 [in Russian].
Frenkel, J., Kineticheskaya teoriya zhidkostei, Moscow: USSR Academy of Sciences, 1945 [in Russian]. Translated under the title Kinetic Theory of Liquids, New York: Dover, 1955.
Sanditov, D.S. and Kozlov, G.V., Anharmonicity of Interatomic and Intermolecular Bonds and Physicomechanical Properties of Polymer Glasses, Fiz. Khim. Stekla, 1995, vol. 21, no. 6, pp. 549–578 [Glass Phys. Chem. (Engl. transl.), 1995, vol. 21, no. 6, pp. 392–409].
Sanditov, D.S. and Sangadiev, S.Sh., A New Approach to the Interpretation of the Fluctuation Free Volumes of Amorphous Polymers and Glasses, Vysokomol. Soedin., Ser. A, 1999, vol. 41, no. 6, pp. 977–10007 [Polym. Sci. (Engl. transl.), 1999, vol. 41, no. 6, pp. 643–663].
Mel’nichenko, T.D., Rizak, V.M., Mel’nichenko, T.N., and Fedelesh, V.I., Parameters of the Fluctuation Free Volume Theory for Glasses in the Ge-As-Se System, Fiz. Khim. Stekla, 2004, vol. 30, no. 5, pp. 553–564 [Glass Phys. Chem. (Engl. transl.), 2004, vol. 30, no. 5, pp. 406–414].
Sanditov, B.D., Darmaev, M.V., Sanditov, D.S., and Mantatov, V.V., Coefficient of Transverse Deformation and Anharmonism of Lattice Oscillations in Quasi-Isotropic Solids, Vysokomol. Soedin., Ser. A, 2007, vol. 49, no. 7, pp. 213–219 [Polym. Sci., Ser. A (Engl. transl.), 2007, vol. 49, no. 7, pp. 837–842].
Mazurin, O.V., Strel’tsina, M.V., and Shvaiko-Shvaikovskaya, T.N., Svoistva stekol i stekloobrazuyushchikh rasplavov: Spravochnik (Properties of Glasses and Glass-Forming Melts: A Handbook), Leningrad: Nauka, 1973, vol. 1 [in Russian].
Yannopoulos, S.N. and Johari, G.P., Poisson’s Ratio and Liquid’s Fragility, Nature (London), 2006, vol. 441, pp. E7–E8.
Sanditov, B.D., Sangadiev, S.Sh., and Sanditov, D.S., Relaxation Time and Cooling Rate of a Liquid in the Glass Transition Range, Fiz. Khim. Stekla, 2007, vol. 33, no. 5, pp. 620–631 [Glass Phys. Chem. (Engl. transl.), 2007, vol. 33, no. 5, pp. 445–454].
Nemilov, S., Structural Aspect of Possible Interrelation between Fragility (Length) of Glass-Forming Melts and Poisson’s Ratio of Glasses, J. Non-Cryst. Solids, 2007, vol. 353, pp. 4613–4632.
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Original Russian Text © D.S. Sanditov, A.A. Mashanov, B.D. Sanditov, V.V. Mantatov, 2008, published in Fizika i Khimiya Stekla.
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Sanditov, D.S., Mashanov, A.A., Sanditov, B.D. et al. Fragility and anharmonicity of lattice vibrations of glass-forming systems. Glass Phys Chem 34, 389–393 (2008). https://doi.org/10.1134/S108765960804007X
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DOI: https://doi.org/10.1134/S108765960804007X