Skip to main content

Estimation of thermal expansion coefficient of solid crystalline dielectrics at high temperatures

An Erratum to this article was published on 01 April 2015


With the view of goal-directed search for materials with required value of thermal expansion coefficient a generalized expression for approximate estimation of the coefficient of thermal linear expansion of solid crystalline dielectrics at temperatures above the Debye temperature is obtained. It is shown based on the example of rare-earth magnesium hexaaluminates that the calculations by these expressions well agree with experimental quantities. For these compounds an expression for evaluation in the first approximation of the value of internal energy of crystal lattice was also obtained.

This is a preview of subscription content, access via your institution.


  1. Efremov, W.A., Chernaya, N.G., Trunov, W.K., and Pisarenko, V.F., Kristallografiya, 1988, vol. 33, p. 38.

    Google Scholar 

  2. Gadow, R. and Lischka, M., Surf. Coat. Technol., 2002, vol. 151–152, p. 392.

    Article  Google Scholar 

  3. Yeganyan, A.V., Kuzanyan, A.S., and Stathopoulos, V., J. Contemp. Phys. (Armenian Ac. Sci.), 2014, vol. 49, p. 176.

    Article  Google Scholar 

  4. Bondar’, I.V., Semiconductors, 2012, vol. 46, p. 602.

    Article  ADS  Google Scholar 

  5. Landau, L.D. and Lifshitz, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1976.

    Google Scholar 

  6. X. Chen, Y. Zhao, W. Huang et al., J. Europ. Ceram. Soc., 2011, vol. 31, p. 2285.

    Article  Google Scholar 

  7. Belomestnykh, V.N., Techn. Phys. Lett., 2004, vol. 30, p. 91.

    Article  ADS  Google Scholar 

  8. Slutsker, A.I., Polikarpov, Yu.I., Karov, D.D., and Gofman, I.V., Phys. Sol. St., 2013, vol. 55, p. 668.

    Article  ADS  Google Scholar 

  9. Bansal, N.P. and Jhu, D., Surf. Coat. Technol., 2008, vol. 202, p. 2698.

    Article  Google Scholar 

  10. Saber, D. and Lejus, A.M., Mat. Res. Bull., 1981, vol. 16, p. 1325.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to A. S. Kuzanyan.

Additional information

Original Russian Text © A.V. Yeganyan, A.S. Kuzanyan, V.S. Statopoulos, 2015, published in Izvestiya NAN Armenii, Fizika, 2015, Vol. 50, No. 1, pp. 105–110.

About this article

Verify currency and authenticity via CrossMark

Cite this article

Yeganyan, A.V., Kuzanyan, A.S. & Stathopoulos, V.S. Estimation of thermal expansion coefficient of solid crystalline dielectrics at high temperatures. J. Contemp. Phys. 50, 79–83 (2015).

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI:


  • rare-earth hexaaluminates
  • thermal expansion coefficient