Abstract
A method for calculating the heat capacity of oxide glasses from the data on their composition and temperature has been proposed. Thirty two oxides are included in calculations. A new empirical equation that describes the temperature dependence of the heat capacity is used in the calculations. This equation makes it possible to interpolate the experimental data over a wide range of temperatures (from 100 K to the lower boundary of the glass transition range) and involves only one fitting parameter. The atomic additive formula is applied to the calculation of the heat capacity from the glass composition. The results of calculations are compared with the data available in the literature on the heat capacity for ∼500 glasses with the use of the SciGlass information system describing the glass properties. The root-mean-square deviations of the calculated data from the experimental results are equal to 5–7%. The method proposed is highly competitive in accuracy with the known techniques for calculating the heat capacity of glasses and allows one to extend considerably the composition and temperature ranges covered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
Stebbins, J.F., Carmichael, I.S.E., and Moret, L.K., Heat Capacities and Entropies of Silicate Liquids and Glasses, Contrib. Mineral. Petrol., 1984, vol. 86, pp. 131–148.
Moore, J. and Sharp, D.E., Note on Calculation of Effect of Temperature and Composition on Specific Heat of Glass, J. Am. Ceram. Soc., 1958, vol. 41, no. 11, pp. 35–37.
Winkelmann, A., Ñber die specifischen Warmen verschieden zusammengesetzter Gläser, Ann. Phys. Chem., 1893, vol. 49, pp. 401–420.
SciGlass (Glass Property Information System), Version 3.5, Lexington, MA: SciVision, 1998.
Schnaus, U.E., Moynihan, C.T., Gammon, R.W., and Macedo, P.B., The Relation of the Glass Transition Temperature to Vibrational Characteristics of Network Glasses, Phys. Chem. Glasses, 1970, vol. 11, no. 6, pp. 213–218.
Casey, D.N., Hetherington, G., Winterburn, J.A., and Yates, B., The Influence of the Hydroxyl Content upon the Specific Heat Capacity of Vitreous Silica at Elevated Temperatures, Phys. Chem. Glasses, 1976, vol. 17, no. 3, pp. 77–82.
Robie, R.A., Hemingway, B.S., and Wilson, W.H., Low-Temperature Heat Capacities and Entropies of Feldspar Glasses and Anorthite, Am. Mineral., 1978, vol. 63, nos. 1–2, pp. 109–123.
Richet, P., Robie, R.A., and Hemingway, B.S., Low-Temperature Heat Capacity of Diopside Glass (CaMgSi2O6): A Calorimetric Test of the Configurational Entropy Theory Applied to the Viscosity of Liquid Silicates, Geochim. Cosmochim. Acta, 1986, vol. 50, no. 7, pp. 1521–1533.
Hirao, K. and Soga, N., Heat Capacity and Chemical Bond Strength of Oxide Glasses, J. Ceram. Soc. Jpn., 1989, vol. 97, no. 3, pp. 359–364.
El-Sharkawy, A.A., Sanad, A.M., Kashif, I., Kenawy, M.I., and Osman, M.B., Thermal Properties of Barium-Borate Glasses Containing Iron in the Temperature Interval 300 to 700 K, J. Mater. Sci. Lett., 1985, vol. 4, no. 1, pp. 48–50.
Thomas, S.B. and Parks, G.S., Studies of Glass: VI. Some Specific Heat Data on Boron Trioxide, J. Phys. Chem., 1931, vol. 35, no. 7, pp. 2091–2102.
Tarasov, V.V. and Soboleva, P.A., Heat Capacity of Vitreous GeO2 and Glasses in the K2O–GeO2 System, Zh. Fiz. Khim., 1970, vol. 44, no. 6, pp. 1590–1592.
Vasil'ev, L.L., Methods and Instruments for Determination of the Thermal Properties of Insulator Materials in the Range 80–500 K, Inzh.–Fiz. Zh., 1964, vol. 7, no. 5, pp. 76–84.
Muratov, A.V. and Postnikov, V.S., Specific Heat Capacity and Thermal Conductivity Coefficient of Glasses and Glass-Ceramics in the Low-Temperature Range, Fiz. Khim. Obrab. Mater., 1978, no. 5, pp. 137–140.
Muratov, A.V., Investigation of the Heat Capacity of Silicate Glasses at Low Temperatures, Fiz. Khim. Stekla, 1978, vol. 4, no. 6, pp. 741–743.
Richet, P., Bottinga, Y., Denielou, L., Petitet, J.P., and Tequi, C., Thermodynamic Properties of Quartz, Cristobalite and Amorphous SiO2: Drop Calorimetry Measurements between 1000 and 1800 K and a Review from 0 to 2000 K, Geochim. Cosmochim. Acta, 1982, vol. 46, no. 12, pp. 2639–2658.
Sosman, R.B., The Properties of Silica, New York: Chem. Catalog Co., 1927.
Yageman, V.D. and Matveev, G.M., Heat Capacity of Glasses in the SiO2–Na2O · 2SiO2 System, Fiz. Khim. Stekla, 1982, vol. 8, no. 2, pp. 238–245.
Fischer, W., Schmelzwärmen und Molekularwärmen von Aluminiumhalogeniden, Z. Anorg. Allg. Chem., 1931, vol. 200, no. 4, pp. 332–342.
Frenkel', I.M., Sergeev, O.A., and Boitsov, A.A., Investigation of the Heat Capacity of Corundum and Silica Glass with the State Primary Standard, Tr. Metrol. Inst. SSSR, 1978, no. 216, pp. 32–37.
Tarasov, V.V., Turdakin, V.A., Yunitskii, G.A., and Zhdanov, V.M., A Study of Microchemical Inhomogeneity in Sodium Silicate and Sodium Borosilicate Glasses on the Basis of Low-Temperature Heat Capacity, Zh. Fiz. Khim., 1967, vol. 41, no. 2, pp. 430–434.
Tarasov, V.V. and Turdakin, V.A., Specific Heat Capacity and Thermal Conductivity Coefficient of Glasses and Glass-Ceramics in the Low-Temperature Range, in Mekhanicheskie i teplovye svoistva i stroenie neorganicheskikh stekol (Mechanical and Thermal Properties and Structure of Inorganic Glasses), Moscow, 1972, pp. 137–140.
Khidasheli, A.N., Avaliani, D.I., Beroshvili, A.I., Makarov, V.N., and Chkhaidze, B.Sh., Experimental Investigation of the Thermal Properties of Silica Glass, Tr. Gruz. Politekh. Inst., 1971, no. 3, pp. 230–237.
Kovryanov, A.I. and Chashkin, Yu.R., Heat Capacity of KV Silica Glass in the Temperature Range 80–300 K, Metrol. Tochn. Izmer., 1981, no. 8, pp. 20–26.
Alekseenko, M.P., Heat Conductivity, Thermal Diffusivity, and Specific Heat Capacity of Optical Materials, Opt.–Mekh. Prom-st., 1962, no. 10, pp. 11–19.
Mamedov, K.K., Abdullaev, A.B., Shalumov, B.Z., Mekhtiev, M.I., Alyanov, M.A., and Gumbatov, D.O., Low-Temperature Heat Capacity and Thermodynamic Properties of Silicon-Dioxide–Based Binary Vitreous Systems, Phys. Status Solidi A, 1987, vol. 99, no. 2, pp. 413–421.
Aliev, N.N., Abdulaev, A.B., Shalumov, B.Z., and D'yakonov, S.S., Concentration Dependences of Binary Glasses Based on Silicon Dioxide at Low Temperatures, Izv. Akad. Nauk SSSR, Neorg. Mater., 1988, vol. 24, no. 1, pp. 124–132.
Hirao, K., Soga, N., and Kunugi, M., Low-Temperature Heat Capacity and Structure of Alkali Silicate Glasses, J. Am. Ceram. Soc., 1979, vol. 62, nos. 11–12, pp. 570–573.
Muratov, A.V. and Postnikov, V.S., Specific Heat Capacity and Thermal Conductivity Coefficient of Glasses and Glass-Ceramics in the Low Temperature Range, Fiz. Khim. Obrab. Mater., 1978, no. 5, pp. 137–140.
Muratov, A.V., A Study of the Heat Capacity of Silicate Glasses at Low Temperatures, Fiz. Khim. Stekla, 1978, vol. 4, no. 6, pp. 741–743.
Nemilov, S.V. and Muratov, A.V., Heat Capacity and Excess Thermodynamic Functions for Vitreous Na2O · 2SiO2 and Na2O · SiO2 at Absolute Zero in Relation to the Structure of Sodium Silicate Glasses, Fiz. Khim. Stekla, 1983, vol. 9, no. 5, pp. 589–599.
Rathmann, C.L., Mann, G.H., and Nordberg, M.E., A New Ultralow-Expansion of Modified Fused-Silica Glass, Appl. Opt., 1968, vol. 7, no. 5, pp. 819–824.
Shultz, M.M., Ushakov, V.M., and Borisova, N.V., Investigation of Vitreous and Crystalline Sodium Silicates by Differential Scanning Calorimetry, Dokl. Akad. Nauk SSSR, 1984, vol. 274, no. 4, pp. 865–867.
Shultz, M.M., Ushakov, V.M., and Borisova, N.V., A Comparative Study of the Thermodynamic Properties of Sodium Silicate Glasses and Crystals, Dokl. Akad. Nauk SSSR, 1985, vol. 283, no. 1, pp. 179–183.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Khalimovskaya-Churkina, S.A., Priven, A.I. Calculation of the Heat Capacity of Oxide Glasses at Temperatures from 100 K to the Lower Boundary of Glass Transition Range. Glass Physics and Chemistry 26, 531–540 (2000). https://doi.org/10.1023/A:1007144029394
Issue Date:
DOI: https://doi.org/10.1023/A:1007144029394