Abstract
At high temperatures, the simple expression for thermal conductivity of crystals with the garnet structure is obtained, which allows one to determine this quantity if the lattice constant or density of these crystals is known. The thermal conductivity coefficients for the garnet crystals of different compositions calculated from the obtained formula are in a good agreement with the experimentally measured values.
Similar content being viewed by others
References
Vorobyov, Yu.P., Men', A.N., and Fetisov., V.B., Raschet i prognozirovanie svoystv oksidov (Calculation and Prediction of Oxides Properties), Moscow: Nauka, 1983.
Kaminskii, A.A., Butaeva, T.I., Kevorkov, A.M., Fedorov, V.A., Petrosyn, A.G., and Gritsenko. M.M., Izv. AN SSSR, Ser. Neorganicheskie materialy, 1976, vol. 12, p. 1508.
Brenier, A., Guyot, Y., Canibano, H., Boulon, C., Rodenas, A., Jaque, D., Eganyan, A., and Petrosyan, A., J. Opt. Soc. Am. B, 2006, vol. 23, p.676.
Petrosyan, A.G., Asatryan, H.R., Hovhannesyan, K.L., Yeganyan, A.V., Derdzyan, M.V., Feofilov, S.P., and Sargsyan, R.S., Materials Chem. Phys. C, 2017, vol. 185, p.39.
Yeganyan, A.V., Kuzanyan, A.S., and Stathopoulos, V., J. Contemp. Phys. (Armenian Ac. Sci.), 2014, vol. 49, p.176.
Berman, R., Conduction of Heat in Solids, Oxford: Clarendon Press, 1976.
Slack, G.A. and Oliver, D.W., Phys. Rev. B, 1971, vol. 4, p.592.
Popov, P.A., Thermal Conductivity of Laser Crystals with a Garnet Structure in the Temperature Range 6–300 K. Thesis kand. fiz.-mat. nauk: 01.04.07, Moscow, 1993.
Popov, P.A., Thermal Conductivity of Solid-State Optical Materials Based on Inorganic Oxides and Fluorides. Thesis dr. fiz.-mat. nauk: 01.04.07, Moscow, 2015.
Kitaeva, V.F., Zharikov, E.V., and Chisty, I.L., Properties of Crystals with a Garnet Structure. The LPI Preprint, 146, Moscow, 1984.
Chen, X., Zhao, Y., Huang, W., Ma, H., Zou, B., Wang, Y., and Cao, X., J. Europ. Ceramic Society, 2011, vol. 31, p. 2285.
Petrunin, G.I., Popov, V.G., and Timoshechkin, M.I., High Temperature, 1989, vol. 27, p.868.
Kochnev, D.V., Zinov'ev, V.E., Ivanov, I.A., High Temperature, 1990, vol. 28, p. 1013.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Yeganyan, T.I. Butaeva, E.P. Kokanyan, 2017, published in Izvestiya Natsional'noi Akademii Nauk Armenii, Fizika, 2017, Vol. 52, No. 4, pp. 522–527.
About this article
Cite this article
Yeganyan, A.V., Butaeva, T.I. & Kokanyan, E.P. Determination of thermal conductivity coefficient of crystals with the garnet structure at high temperatures. J. Contemp. Phys. 52, 387–391 (2017). https://doi.org/10.3103/S1068337217040120
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068337217040120