Electrical Conductivity Calculation of Glass Melts

Electrical conductivity calculation of silicate glass melts (PDF, 340 kB)

The relation between the chemical composition and the electrical conductivity / resistivity of silicate glass melts at temperatures of 1000^oC to 1400^oC was analyzed statistically. A model including ionic interactions was developed that permits the electrical conductivity calculation of glass melts with a standard model error of about log₁₀(resistivity/Ohm*cm) = 0.06. The 95% confidence interval of the model prediction for industrial glasses in mass production largely depends on the composition of interest and the composition uncertainty, which can be quantified through a electrical conductivity calculation program based on Microsoft Excel derived from this work (Download Excel Calculator, 0.4 MB).

Definition: Resistivity = 1 / Conductivity

Measurement techniques, electrical conductivity / resistivity of glass melts

Electrical resistivity and conductivity definitions

Even so all experimental data were considered in this study, the electrical conductivity / resistivity model in the "High temperature glass melt property database for process modeling" is not recommended. The glass conductivity model above is more accurate and covers extended glass composition areas.

Electrical conductivity calculation, model source data references, mostly available in SciGlass:

Multi-component glasses:

O. V. Mazurin, O. A. Prokhorenko: "Electrical conductivity of glass melts"; Chapter 9 in: "Properties of Glass-Forming Melts" ed. by D. L. Pye, A. Montenaro, I. Joseph; CRC Press, Boca Raton, Florida, May 2005, ISBN: 1-57444-662-2

R. E. Tickle: "The electrical conductance of molten alkali silicates"; Phys. Chem. Glasses, vol. 8, 1967, no. 3, p 101-124

K. D. Kim; Proc. XVIIth Intern. Congr. on Glass, Beijing 1995, vol. 3, p 747

K. D. Kim: "Resistivity measurement of molten glass and mixed alkali effect in sodium and potassium silicate melts"; Glass Technol. vol. 36, 1995, no. 1, p 27-31

K. D. Kim: "Electrical conductivity in mixed-alkali aluminosilicate melts"; J. Am. Ceram. Soc., vol. 79, 1996, no. 9, p 2422-2428

K. D. Kim, and S.-H. Lee; J. Ceram. Soc. Jpn, vol. 105, 1997, no. 10, p 827

Standard Reference Material (SRM) 1414 (Lead-Alkali Silicate Glass), Electrical Resistivity, National Institute of Standards and Technology (NIST), 1991 (Standard retracted by NIST)

K. Varshneya, T. Vascott: "Electrical resistivity", Chapter 8 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

E. K. Mazurina; Steklo, 1967, no. 1, p 129

E. K. Mazurina, K. S. Evstropiev, in: Stekloobraznoe Sostoyanie, Erevan, 1970, p 195

E. K. Mazurina: "Influence of two-valence metal oxides on electrical conductivity of alkali silicate glasses in the temperature range 200-1400oC (in Russian), Thesis, Lensoviet Technological Institute, Leningrad, 1967

F. G. K. Baucke: "Mixed alkali effect of electrical conductivity in glass-forming silicate melts"; Glastech. Ber., vol. 62, 1989, no. 5, p 182-186

F. G. K. Baucke, R.-D. Werner; Proc. XVth Intern. Congr. on Glass, Leningrad, vol. 2, 1989, p 242

T. Pfeiffer: "Viscosities and electrical conductivities of oxidic glass-forming melts"; Solid State Ionics, vol. 105, Jan 1998, p 277-287

http://dx.doi.org/10.1016/S0167-2738(97)00475-X (0.4 MB)

J. D. Vienna, P. R. Hrma et al.: "Effect of Composition and Temperature on the Properties of High Level Waste (HLW) Glass Melting above 1200oC (Draft)"; PNNL Report 10987 to the US Department of Energy, Contract DE-AC06-76RLO 1830, February 1996

http://www.osti.gov/dublincore/gpo/servlets/purl/212394-mv0A6T/webviewable/ (3 MB)

S. Sh. Kirakosyan; in: Stekloobraznoe Sostoyanie, Erevan, 1974, p 78

K. A. Kostanyan, S. Sh. Kirakosyan; Arm. Khim. Zh., vol. 27, 1974, no. 7, p 547

K. A. Kostanyan, E. A. Erznkyan; Arm. Khim. Zh., vol. 20, 1967, no. 9, p 686

System SiO₂-Na₂O:

Ashizuka M. and Ohtani M., J.Jpn Inst.Metals, 1969, vol. 33, No. 4, p. 498.

Bockris J.O`M., Kitchener J.A., Ignatowicz S. and Tomlinson J.W., Trans.Faraday Soc., 1952, vol. 48, No. 1, p. 75.

Bonetti G. and Lazzari S., Vetro e Silicati, 1969, vol. 13, No. 5, p. 5.

Bonetti G., Riv.Staz.Sper.Vetro, 1976, vol. 6, No. 6, p. 241.

Boricheva V.N., Issledovanie Elektroprovodnosti Nekotorykh Prostykh Silikatnykh Stekol v Shirokom Intervale Temperatur. Thesis. Leningrad, 1956.

Botvinkin O.K. and Okhotin M.V., In: Noveishie Raboty po Fizicheskoi Khimii Stekla, Moskva, 1936, p. 72.

Buchanan R.C. and Kingery W.D., Compt.Rend.VII Congr.Intern. du Verre, Bruxelles, 1965, vol. 2, p. 368

Evstropiev K.S., In: Fiziko-Khimicheskie Svoistva Troinoi Sistemy Na2O-PbO-SiO2, Moskva, 1949, p. 83.

Gukasyan S.B. and Kostanyan K.A., Dokl.Akad.Nauk Arm.SSR, 1978, vol. 67, No. 2, p. 101.

Kawahara M., Ozima Y., Morinaga K. and Yanagase T., J.Jpn Inst.Metals, 1978, vol. 42, No. 6, p. 618

Kostanyan K.A. and Erznkyan E.A., Dokl.Akad.Nauk Arm.SSR, 1966, vol. 43, No. 5, p. 279.

Kostanyan K.A. and Kirakosyan S.Sh., Arm.Khim.Zh., 1974, vol. 27, No. 7, p. 547.

Kostanyan K.A. and Saakyan K.S., Izv.Akad.Nauk Arm.SSR,Khim.Nauki, 1961, vol. 14, No. 5, p. 409.

Kostanyan K.A. and Shakhmuradyan G.T., Arm.Khim.Zh., 1975, vol. 28, No. 9, p. 692.

Kostanyan K.A., Erznkyan E.A. and Avetisyan E.M., Arm.Khim.Zh., 1967, vol. 20, No. 8, p. 592.

Kostanyan K.A., Erznkyan E.A. and Loryan Yu.G., In: Stekloobraznoe Sostoyanie, Erevan, 1970, p. 206.

Kostanyan K.A., Fizika i Khimiya Stekla, 1982, vol. 8, No. 6, p. 650.

Kroger C. and Weisgerber P., Z.Phys.Chem., 1958, vol. 18, No. 1/2, p. 90.

Lotto B. and Lazzari S., Vetro e Silicati, 1965, vol. 9, No. 50, p. 5.

Mori K., J.Iron Steel Inst.Jpn, 1956, vol. 42, No. 8, p. 633.

Morinaga K., Suginohara Y. and Yanagase T., J.Jpn Inst.Metals, 1975, vol. 39, No. 12, p. 1312.

Piechurowski A., 4e Conference sur la fusion electrique du verre, Tchecoslovaque, 1972, vol. 2, p. 16.

Shakhmuradyan G.T., Kostanyan K.A. and Dzhavuktsyan S.G., Arm.Khim.Zh., 1976, vol. 29, No. 3, p. 218.

Shinozaki N., Okusu H., Mizoguchi K. and Suginohara Y., J.Jpn Inst.Metals, 1977, vol. 41, No. 6, p. 607.

Stanek J., Sasek L. and Meissnerova H., Sprechsaal, 1966, No. 5, p. 151.

Urnes S., Glass Industry, 1959, vol. 40, No. 5, p. 237.

Wakabayashi H. and Terai R., Bull.Governm.Ind.Res.Inst.Osaka, 1984, vol. 35, No. 1, p. 58.

Wakabayashi H. and Terai R., J.Ceram.Soc.Jpn, 1983, vol. 91, No. 7, p. 334.

Wakabayashi H. and Terai R., J.Ceram.Soc.Jpn, 1985, vol. 93, No. 1, p. 13.

plus references mentioned above: Tickle (1967), Kim et al. (1995, 1997), Kirakosyan et al. (1974), Kostanyan et al. (1967)

System SiO₂-K₂O:

Ashizuka M., J.Ceram.Soc.Jpn, 1989, vol. 97, No. 4, p. 489.

Bockris J.O`M., Kitchener J.A., Ignatowicz S. and Tomlinson J.W., Trans.Faraday Soc., 1952, vol. 48, No. 1, p. 75.

Boricheva V.N., Issledovanie Elektroprovodnosti Nekotorykh Prostykh Silikatnykh Stekol v Shirokom Intervale Temperatur. Thesis. Leningrad, 1956.

Kostanyan K.A. and Erznkyan E.A., Dokl.Akad.Nauk Arm.SSR, 1966, vol. 43, No. 5, p. 279.

Kostanyan K.A. and Erznkyan E.A., Izv.Akad.Nauk Arm.SSR,Khim.Nauki, 1964, vol. 17, No. 6, p. 613.

Kostanyan K.A. and Saringyulyan R.S., Elektrokhimiya i Rasplavy, Moskva, 1974, p. 193.

Kostanyan K.A. and Shakhmuradyan G.T., Arm.Khim.Zh., 1975, vol. 28, No. 9, p. 692.

Kostanyan K.A., Erznkyan E.A. and Loryan Yu.G., In: Stekloobraznoe Sostoyanie, Erevan, 1970, p. 206.

R. S. Saringyulyan, K.A. Kostanyan; Arm. Khim. Zh., vol. 23, 1970, no. 10, p 928

R. S. Saringyulyan, K. A. Kostanyan; in: Stekloobraznoe Sostoyanie, Moskva, 1971, p 289

R. S. Saringyulyan: Vyazkost i Elektroprovodnost Stekol Sistemy K2O-PbO-SiO2 v Shirokom Intervale Temperatur; Thesis, Erevan, 1972

K. A. Kostanyan, R. S. Saringyulyan; Elektrokhimiya i Rasplavy, Moskva, 1974, p 193

R. S. Saringyulyan, K. A. Kostanyan; in: Stekloobraznoe Sostoyanie, Erevan, 1974, p 31

R. S. Saringyulyan; Elektroprovodnost Stekol v Shirokom Intervale Temperatur. Deposited in VINITI, Moscow, no.902-69 Dep., 1969

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

Urnes S., Glass Industry, 1959, vol. 40, No. 5, p. 237.

Wakabayashi H. and Terai R., Bull.Governm.Ind.Res.Inst.Osaka, 1984, vol. 35, No. 1, p. 58.

Wakabayashi H. and Terai R., J.Ceram.Soc.Jpn, 1983, vol. 91, No. 7, p. 334.

plus references mentioned above: Tickle (1967), Kim et al. (1995, 1997), Mazurina et al. (1967, 1970), Kostanyan et al. (1967)

System SiO₂-Na₂O-CaO:

Bonetti G. and Lazzari S., Vetro e Silicati, 1969, vol. 13, No. 5, p. 5

Bonetti G., Riv.Staz.Sper.Vetro, 1976, vol. 6, No. 6, p. 241.

Boricheva V.N., Issledovanie Elektroprovodnosti Nekotorykh Prostykh Silikatnykh Stekol v Shirokom Intervale Temperatur. Thesis. Leningrad, 1956.

Botvinkin O.K. and Okhotin M.V., In: Noveishie Raboty po Fizicheskoi Khimii Stekla, Moskva, 1936, p. 72.

Kostanyan K.A. and Geokchyan O.K., Steklo Keram., 1964, No. 4, p. 5.

Kostanyan K.A., Issledovanie Elektroprovodnosti Natrii-Kaltsii-Magnii-Alyumosilikatnykh Stekol v Rasplavlennom Sostoyanii. Thesis. Leningrad, 1952.

Kostanyan K.A., Saakyan K.S. and Geokchyan O.K., Izv.Akad.Nauk Arm.SSR,Khim.Nauki, 1964, vol. 17, No. 4, p. 357.

Kroger K. and Heckmann H., Glastech.Ber., 1966, vol. 39, No. 11, p. 479.

Mazurin O.V., Tr.Leningr.Tekhnol.Inst., 1954, No. 29, p. 72.

Mazurina E.K. and Evstropiev K.S., Izv.Vyssh.Uchebn.Zaved., Khimiya i Khim.Tekhnol., 1967, No. 6, p. 673.

Stanek J., Sasek L. and Meissnerova H., Sprechsaal, 1966, No. 5, p. 151.

Wakabayashi H. and Terai R., Bull.Governm.Ind.Res.Inst.Osaka, 1984, vol. 35, No. 1, p. 58.

Wakabayashi H. and Terai R., J.Ceram.Soc.Jpn, 1983, vol. 91, No. 7, p. 334.

plus references mentioned above: Mazurin at al. (2005), Mazurina et al. (1967, 1970)