Density and thermal expansion calculation of silicate glass melts [1] (PDF, 230 kB)

Glass Density at Room Temperature >

The relation between the chemical composition and the density of silicate glass melts at temperatures of 1000°C to 1400°C was analyzed statistically. The analysis was founded on all 140-260 available glass density values in the SciGlass information system for glasses containing more than 40 mol% silica, less than 40 mol% boron oxide, varying amounts of Al₂O₃, Li₂O, Na₂O, K₂O, MgO, CaO, PbO, and minor components. A glass density model based on multiple regression was developed. The 95% confidence interval of the mean model prediction on the density scale in g/cm³ was 0.5-3%, depending on the composition of interest. The prediction of density as a function of temperature made it possible to estimate the coefficient of thermal expansion of glass melts to within 20-40% error with a 95% level confidence.

Glass melt density and thermal expansion calculation program, based on Excel (150 kB)

[1] A. Fluegel, D. A. Earl, A. K. Varshneya, T. P. Seward: "Density and thermal expansion calculation of silicate glass melts from 1000°C to 1400°C"; Phys. Chem. Glasses: Eur. J. Glass Sci. Technol. B, October 2008, vol. 49, no. 5, p 245-257.

Glass Melt Density Calculation by Ghiorso et al.

Density Model Source Data References

Detailed references of the density model source data taken from the SciGlass database and information system are as follows below:

A. Adachi, K. Ogino; Technol. Rep. Osaka Univ., vol. 12, 1962, no. 502, p 147.

A. Adachi, K. Ogino, S. Kuno; J. Iron Steel Inst. Jpn, vol. 46, 1960, no. 10, p 1243.

A. Adachi, K. Ogino, H. Toritani; Technol. Rep. Osaka Univ., vol. 10, 1960, no. 379, p 149.

T. D. Andryukhina, R. K. Stepanov; Steklo Keram., 1987, no. 10, p 12.

L. R. Barrett, A. G. Thomas; J. Soc. Glass Technol., vol. 43, 1959, no. 211, p 179.

H. Bloom, J. O`M. Bockris: "The compressibilities of the silicates: The Li₂O-SiO₂ system"; J. Phys. Chem., vol. 61, 1957, no. 5, p 515-518.

J. O’M. Bockris, J. W. Tomlinson, J. L. White: "The structure of liquid silicates: Partial molar volumes and expansivities"; Trans. Faraday Soc., vol. 52, 1956, no. 3, p 229-310.

M. Cable, M. A. Chaudhry: "Volatilization from soda-lime-silica melts at one atmosphere and reduced pressures"; Glass Technology, vol. 16, 1975, no. 6, p 125-134.

A. G. Clare, A. Kucuk, D. R. Wing, L. E. Jones: "The measurement of the density and surface tension of glass melts using the sessile drop method," Chapter 6 in: "High temperature glass melt property database for process modeling", Eds.: T. P. Seward III and T. Vascott; The American Ceramic Society, Westerville, Ohio, 2005, ISBN: 1-57498-225-7.

A. G. Clare, D. Wing, L. E. Jones, A. Kucuk: "Density and surface tension of borate containing silicate glass melts"; Glass Technology, vol. 44, April 2003, no. 2, p 59-62.

M. Coenen: "Dichte von Schlierengläsern bei hohen Temperaturen" (Density of striation glasses at elevated temperatures); Glastechn. Ber., vol. 39, 1966, no. 3, p 81-89. (in German)

M. Coenen; Kolloid Z. ,Z. Polymere, vol. 194, 1964, no. 2, p 136.

P. Courtial, J. Gottsmann, A. Holzheid, D. B. Dingwell; Earth Planetary Sci. Lett., vol. 171, 1999, no. 1, p 171.

A. Din: "Untersuchungen zum strukturellen Aufbau der Gläser Na₂O*xMeO*(6-x)SiO₂ aus der Temperaturabhängigkeit der Dichte, der Viskosität und davon abgeleiteter Größen. Thesis. Clausthal, 1968. (in German)

A. Din, M. R. Sheikh, A. H. Qureshi; Pakistan J. Sci. Ind. Res., vol. 15, 1972, no. 4-5, p 326.

A. Din, H. W. Hennicke: "Role of Magnesium Ions in Silicate Glasses"; Glastechn. Ber., vol. 47, 1974, no. 1, p 14-16.

D. B. Dingwell, M. Brearley; Geochim. Cosmochim. Acta, vol. 52, 1988, no. 12, p 2815.

D. B. Dingwell, M. Brearley, J. E. Dickinson; Geochim. Cosmochim. Acta, vol. 52, 1988, no. 10, p 2467.

D. B. Dingwell; Geochim. Cosmochim. Acta, vol. 56, 1992, no. 9, p 3403.

T. Ejima, M. Hino, M. Kameda; J. Jpn Inst. Metals, vol. 34, 1970, no. 5, p 546.

G. H. Frischat, W. Beier: "Oberflächenspannung von Na₂O-Rb₂O-SiO₂-Glasschmelzen" (Density of Na₂O-Rb₂O-SiO₂ glass melts); Glastechn. Ber., vol. 52, 1979, no. 5, p 116-120.

G. H. Frischat, H. J. Oel: "Diffusion of neon in a glass melt"; Phys. Chem. Glasses, vol. 8, 1967, no. 3, p 92-95.

E. P. Golovin, E. S. Akhlestin; in: Stekloobraznoe Sostoyanie, Erevan, 1970, p 236.

N. K. Dertev, E. P. Golovin; Tr. Gork. Politekhn. Inst., vol. 29, 1973, no. 3, p 27.

Z. P. Voronkova, E. S. Akhlestin; in: Stekloobraznoe Sostoyanie, Erevan, 1974, p 165.

E. P. Golovin, E. S. Akhlestin; Tr. Gork. Politekhn. Inst., vol. 23, 1967, no. 4, p 33.

N. K. Dertev, E. P. Golovin, E. S. Akhlestin, in: Stekloobraznoe Sostoyanie, Leningrad, 1971, p 331.

E. P. Golovin, N. K. Dertev; in: Proizvodstvo i Issledovanie Stekla i Silikatnykh Materialov, Yaroslavl, 1969, no. 1, p 44.

G. Heidtkamp, K. Endell: "Über die Anhängigkeit der Dichte und der Zähigkeit von der Temperatur im System Na₂O-SiO₂" (About the temperature dependence of the density and the viscosity in the system Na₂O-SiO₂); Glastechn. Ber., vol. 14, 1936, no. 3, p 89-103. (in German)

M. Hino, T. Ejima, M. Kameda; J. Jpn Inst. Metals, vol. 31, 1967, no. 2, p 113.

M. Hino, T. Ejima, M. Kameda; J. Jpn Inst. Metals, vol. 33, 1969, no. 5, p 617.

K. Ikeda, Y. Suginohara, T. Yanagase; J. Jpn Inst. Metals, vol. 31, 1967, no. 4, p 547.

K. Inoguchi, K. Okamoto, M. Koide, K. Matusita, T. Michimata; Proc. XVIII^th Intern. Congr. on Glass CD-ROM, San Francisco, 1998, p D5,104.

R. Kammel, H. Winterhager; Erzmetall, 1965, vol. 18, no. 1, p 9.

M. Kato, S. Minowa; J. Iron Steel Inst. Jpn, vol. 52, 1966, no. 4, p 582.

M. Kato, S. Minowa; J. Iron Steel Inst. Jpn, vol. 52, 1966, no. 4, p 584.

M. Kato, S. Minowa; J. Iron Steel Inst. Jpn, vol. 52, 1966, no. 9, p 1436.

M. Kato, S. Minowa; J. Iron Steel Inst. Jpn, vol. 52, 1966, no. 9, p 1438.

M. Kato, S. Minowa; Trans. Iron Steel Inst. Jpn, vol. 9, 1969, no. 1, p 31.

M. Kato, S. Minowa; Trans. Iron Steel Inst. Jpn, vol. 9, 1969, no. 1, p 39.

M. Kato, S. Minowa; Trans. Iron Steel Inst. Jpn, vol. 9, 1969, no. 1, p 47.

M. Kato, S. Minowa; J. Iron Steel Inst. Jpn, vol. 55, 1969, no. 4, p 260.

M. Kato, S. Minowa; Rep. Governm. Ind. Res. Inst. Nagoya, vol. 21, 1972, no. 12, p 345.

Y. Kawai, K. Mori, H. Shiraishi, N. Yamada; J. Iron Steel Inst. Jpn, vol. 62, 1976, no. 1, p 53.

K. A. Kostanyan, S. A. Kamalyan, S. A. Bezhanyan; Izv. Akad. Nauk Arm. SSR, Khim. Nauki, vol. 14, 1961, no. 4, p 319.

K. A. Kostanyan, E. M. Avetisyan; Izv. Akad. Nauk Arm. SSR, Khim. Nauki, vol. 16, 1963, no. 2, p 117.

I. G. Kostylkov; Fiziko-Khimicheskie Svoistva Rasplavlennykh Borosilikatov. Deposited in NIITEKhim, Cherkassy, no. 628-75 Dep, 1975.

S. A. Krasikov, V. M. Chumarev, O. G. Savushkina, M. V. Timofeev, A. G. Upolovnikova; Rasplavy, 2002, no. 6, p 69.

S. A. Krasikov, A. G. Upolovnikova, M. V. Timofeev, V. M. Chumarev, O. G. Savushkina; Proc. XIX^th Intern. Congr. on Glass, Edinburg, 2001, vol. 2, p 322.

A. Kucuk, A. G. Clare, L. E. Jones: "Differences between surface and bulk properties of glass melts. I. Compositional differences and influence of volatilization on composition and other physical properties"; J. Non-Cryst. Solids, vol. 261, 2000, no. 1-3, p 28-38.

A. Kucuk, A. G. Clare, L. E. Jones; Proc. XVIII^th Intern. Congr. on Glass CD-ROM, San Francisco, 1998, p D5,98.

A. Kucuk, A. G. Clare, L. E. Jones: "Influence of various atmospheres on the surface properties of silicate melts"; Glastechn. Ber., Glass Sci. Technol., vol. 73, 2000, no. 5, p 123-129.

A. Kucuk, A. G. Clare, L. E. Jones: "Differences between the surface and the bulk of glass melts. Part 2. Influence of redox ratio on the surface properties of silicate melts"; Phys. Chem. Glasses, vol. 41, 2000, no. 2, p 75-80.

R. A. Lange, I. S. E. Carmichael; Geochim. Cosmochim. Acta, vol. 51, 1987, p 2931.

R. A. Lange; Contrib. Mineral. Petrol., vol. 130, 1997, no. 1, p 1.

Y. E. Lee, D. R. Gaskell; Metall. Trans., vol. 5, 1974, no. 4, p 853.

T. Licko, V. Danek, Z. Panek; Chem. Papers., vol. 39, 1985, no. 5, p 599.

V. Danek, T. Licko, Z. Panek; Silikaty, vol. 29, 1985, no. 4, p 291.

L. Merker: "Eine einfache Methode zur Dichtebestimmung von Glasschmelzen bei hohen Temperaturen" (A simple method for measuring the density of glass melts at elevated temperatures); Glastechn. Ber., vol. 32, 1959, no. 12, p 501-503. (in German)

S. A. Nelson, I. S. E. Carmichael; Contrib. Mineral. Petrol., vol. 71, 1979, no. 2, p 117.

A. M. Nikonov, V. N. Bogdanov, I. G. Mikhailov, A. A. Shono; Ultrazvukovye Issledovaniya Binarnykh Shchelochnosilikatnykh Rasplavov. Deposited in VINITI, Moscow, no. 5004-80 Dep, 1980.

G. P. Orlova; in: Tr.VI Soveshch.po Eksperim.i Tekhnich.Mineral.i Petrografii, Moskva, 1962, p 81.

A. Passerone, R. Sangiorgi, G. Valbusa; Ceram. Intern., vol. 5, 1979, no. 1, p 18.

S. I. Popel, O. A. Esin; Zh. Prikl. Khim., vol. 29, 1956, no. 5, p 651.

A. Ram, S. V. Bhatye, K. D. Sharma; Centr. Glass Ceram. Res. Inst. Bull., vol. 6, 1959, no. 1, p 3.

L. Sasek, S. Kasa; Silikaty, vol. 14, 1970, no. 1, p 75.

L. Sasek, A. Lisy; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L2, 1972, p 165.

L. Sasek, A. Lisy; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L2, 1972, p 217.

L. Sasek; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L6, 1975, p 61.

L. Sasek, H. Meissnerova, O. Hoffmann; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L6, 1975, p 153.

L. Sasek, H. Meissnerova, V. Hoskova; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L6, 1975, p 131.

L. Sasek, H. Meissnerova, J. Prochazka; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L6, 1975, p 95.

L. Sasek, A. Lisy; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L2, 1972, p 165.

L. Sasek, A. Lisy; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L2, 1972, p 217.

L. Sasek, H. Meissnerova, J. Persin; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L4, 1973, p 87.

L. Sasek, A. Lisy; Sb. Vys. Sk. Chem. Technol. Praze, Chem. Technol. Silik., vol. L2, 1972, p 217.

L. Shartsis, S. Spinner: "Viscosity and density of molten optical glasses"; J. Res. Nat. Bur. Stand., vol. 46, 1951, no. 3, p 176-194.

L. Shartsis, S. Spinner, W. Capps: "Density, expansivity, and viscosity of molten alkali silicates"; J. Am. Ceram. Soc., vol. 35, 1952, no. 6, p 155-160.

D. J. Stein, J. F. Stebbins, I. S. E. Carmichael: "Density of molten aluminosilicates"; J. Am. Ceram. Soc., vol. 69, 1986, no. 5, p 396-399.

Y. Suginohara; Technol. Rep. Kyushu Univ., vol. 34, 1961, no. 3, p 229.

Y. Suginohara; Technol. Rep. Kyushu Univ., vol. 35, 1962, no. 1, p 24.

Y. Suginohara, T. Yanagase, H. Ito; Trans. Jpn Inst. Metals, vol. 3, 1962, no. 4, p 227.

I. Vlchev, Ts. Tsanev, L. Sarivanov; God. Vissh. Khim. Tekhnol. Inst., Sofia, vol. 19, 1972, no. 2, p 121.

I. Vlchev, Ts. Tsanev, K. Todorov; God. Vissh. Khim. Tekhnol. Inst., Sofia, vol. 19, 1972, no. 2, p 129.

M. P. Volarovich, A. A. Leontjeva; Dokl. Akad. Nauk SSSR, vol. 2, 1935, no. 8, p 539.

M. B. Volf; Technical Approach to Glass, 1990, p 150.

E. W. Washburn, G. R. Shelton, E. E. Libman; Univ. Ill. Bull., vol. 21, 1924, S.140, p 38.

S. L. Webb, R. Knoche, D. B. Dingwell; Eur. J. Mineral., vol. 4, 1992, no. 1, p 95.

H. Winterhager, L. Greiner, R. Kammel; Forschungsberichte des Landes Nordrhein-Westfalen, 1966, p 1630.

T. Yanagase, Y. Suginohara, K. Ikeda; J. Jpn Inst. Metals, vol. 33, 1969, no. 4, p 448.