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Correlation between the thermal expansion coefficient and heat capacity of an inert-gas single crystal: Krypton

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Abstract

Correlation dependence of volumetric thermal expansion coefficient o(T) on heat capacity C(T) for single-crystal krypton is studied. It is shown that the dependence o(C) is observed not only at low temperatures, where it is linear and is known as the Grüneisen law, but also in a much wider temperature range up to the melting point of krypton. When the specific heat reaches a classical limit of 3R (according to the Dulong-Petit law), the o(C) dependence considerably deviates from the low-temperature linear behavior. The concept of the differential Grüneisen parameter of krypton, γ′ ∼ (∂o/∂C), is introduced, and its temperature dependence is estimated.

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References

  1. V. A. Rabinovich, A. A. Vasserman, V. I. Nedostup, and L. S. Veksler, Thermophysical Properties of Neon, Argon, Krypton, and Xenon (Izd. Standartov, GSSSD, Moscow, 1976) [in Russian].

    Google Scholar 

  2. Rare Gas Solids, Ed. by M. L. Klein and J. A. Venables (Academic, London, 1977), Vols. 1–2.

    Google Scholar 

  3. V. Yu. Bodryakov, Teplofiz. Vys. Temp. 52, 863 (2014).

    Google Scholar 

  4. K. Clusius, Z. Phys. Chem. B 31, 459 (1936).

    Google Scholar 

  5. R. H. Beaumont, H. Chihara, and J. A. Morrison, Proc. Phys. Soc. 78, 1462 (1961).

    Article  ADS  Google Scholar 

  6. L. Finegold and N. E. Phillips, Phys. Rev. 177, 1383 (1969).

    Article  ADS  Google Scholar 

  7. Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Meilikhov (CRC, Boca Raton, 1997).

    Google Scholar 

  8. B. F. Figgins and B. L. Smith, Phil. Mag. 5, 186 (1960).

    Article  ADS  Google Scholar 

  9. A. J. Eatwell and B. L. Smith, Phil. Mag. 6, 461 (1961).

    Article  ADS  Google Scholar 

  10. V. G. Manzhelii, V. G. Gavrilko, and E. I. Voitovich, Phys. Status Solidi B 17, K139 (1966).

    Article  ADS  Google Scholar 

  11. V. G. Manzhelii, V. G. Gavrilko, and E. I. Voitovich, Sov. Phys. Solid State 9, 1157 (1967).

    Google Scholar 

  12. D. L. Losee and R. O. Simmons, Phys. Rev. 172, 944 (1968).

    Article  ADS  Google Scholar 

  13. V. G. Gavrilko, V. G. Manzhelii, V. I. Kuchnev, and A. M. Tolkachev, Sov. Phys. Solid State 10, 2524 (1968).

    Google Scholar 

  14. V. G. Manzhelii, V. G. Gavrilko, and V. I. Kuchnev, Phys. Status Solidi B 34, K55 (1969).

    Article  ADS  Google Scholar 

  15. H. J. Coufal, R. Veith, P. Korpiun, and E. Luscher, J. Appl. Phys. 41, 5082 (1970).

    Article  ADS  Google Scholar 

  16. P. Korpiun and H. J. Coufal, Phys. Status Solidi A 6, 187 (1971).

    Article  ADS  Google Scholar 

  17. D. C. Wallace, Thermodynamics of Crystals (Wiley, London, 1972).

    Google Scholar 

  18. C. R. Tilford and C. A. Swenson, Phys. Rev. B 5, 719 (1972).

    Article  ADS  Google Scholar 

  19. S. I. Novikova, Thermal Expansion of Solids (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  20. V. G. Manzhelii, E. A. Kosobutskaya, V. V. Sumarokov, A. N. Aleksandrovskii, Yu. A. Freiman, V. A. Popov, and V. A. Konstantinov, Fiz. Nizk. Temp. 12, 151 (1986).

    Google Scholar 

  21. K. Devlal and B. R. K. Gupta, Pramana 69, 307 (2007).

    Article  ADS  Google Scholar 

  22. V. Yu. Bodryakov, Tech. Phys. 58, 722 (2013).

    Article  Google Scholar 

  23. N. P. Gupta and R. K. Gupta, Can. J. Phys. 47, 617 (1969).

    Article  ADS  Google Scholar 

  24. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill, New York, 1968).

    Google Scholar 

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Correspondence to V. Yu. Bodryakov.

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Original Russian Text © V.Yu. Bodryakov, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 3, pp. 65–68.

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Bodryakov, V.Y. Correlation between the thermal expansion coefficient and heat capacity of an inert-gas single crystal: Krypton. Tech. Phys. 60, 381–384 (2015). https://doi.org/10.1134/S1063784215030044

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