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The Effect of Phonon Anharmonicity on the Thermodynamic Properties of Nonmetallic Solid

  • Thermophysical Properties of Materials
  • Published:
High Temperature Aims and scope

Abstract

Germanium is used as an example for developing a self-consistent thermodynamic approach to the construction of a model of crystal lattice of a nonmetallic nonmagnetic solid. This approach takes into account the effect of anharmonicity of thermally excited phonons. The calculations of temperature dependences of basic thermodynamic functions reveal, for a model substance, very adequate agreement with the available experimental data in a wide temperature range of hundreds of kelvins.

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REFERENCES

  1. Bodryakov, V.Yu. and Zamyatin, V.M., Teplofiz. Vys. Temp., 2000, vol. 38, no.5, p. 724 (High Temp. (Engl. transl.), vol. 38, no. 5, p. 698).

    Google Scholar 

  2. Bodryakov, V.Yu. and Povzner, A.A., Samosoglasovannaya termodinamicheskaya model' kristallicheskoi reshetki tverdogo tela. Ch. 1 (Self-Consistent Thermodynamic Model of Crystal Lattice of a Solid), Ekaterinburg: GOU VPO UGTU-UPI, 2002, Part 1.

    Google Scholar 

  3. Bodryakov, V.Yu. and Povzner, A.A., Fiz. Tverd. Tela, 2003, vol. 45, no.7, p. 1196.

    Google Scholar 

  4. Bodryakov, V.Yu. and Povzner, A.A., Zh. Tekh. Fiz., 2003, vol. 73, no.7, p. 136.

    Google Scholar 

  5. Bodryakov, V.Yu. and Povzner, A.A., Samosoglasovannaya termodinamicheskaya model' kristallicheskoi reshetki tverdogo tela. Ch. 2. Neferromagnitnye metally (Self-Consistent Thermodynamic Model of Crystal Lattice of a Solid. Part 2: Nonferromagnetic Metals), Ekaterinburg: GOU VPO UGTU-UPI, 2003.

    Google Scholar 

  6. Magomedov, M.N., Fiz. Tverd. Tela, 2003, vol. 45, no.1, p. 33.

    Google Scholar 

  7. Leibfried, G., in Handbuch der Physik, Flugge, S., Ed., Berlin: Springer, 1955, vol. 7, part 1, p. 104. Translated under the title [italic]Mikroskopicheskaya teoriya mekhanicheskikh i teplovykh svoistv kristallov, Moscow: Fizmatgiz, 1963.

    Google Scholar 

  8. Leibfried, G. and Ludwig, W., Solid State Phys., 1961, no. 12, p. 276. Translated under the title Teoriya angarmonicheskikh effektov v kristallakh, Moscow: Izd. Inostrannoi Literatury, 1963.

  9. Novikova, S.I., Teplovoe rashirenie tverdykh tel (Thermal Expansion of Solids), Moscow: Nauka, 1974.

    Google Scholar 

  10. Landau, L.D. and Lifshitz, E.M., [italic]Statisticheskaya fizika. Ch. 1 (Statistical Physics), Moscow: Nauka, 1976, Part 1.

    Google Scholar 

  11. Kittel, C., Introduction to Solid State Physics, New York: Wiley, 1976. Translated under the title Vvedenie v fiziku tverdogo tela, Moscow: Nauka, 1978.

    Google Scholar 

  12. Ashcroft, N.W. and Mermin, N.D., Solid State Physics, New York: Holt, Rinehart and Winston, 1976. Translated under the title Fizika tverdogo tela, Moscow: Mir, 1979, vols. 1 and 2.

    Google Scholar 

  13. Landau, L.D. and Lifshitz, E.M., Teoriya uprugosti (The Elasticity Theory), Moscow: Nauka, 1987.

    Google Scholar 

  14. Frantsevich, I.N., Voronov, F.F., and Bakuta, S.A., Uprugie postoyannye i moduli uprugosti metallov i nemetallov (Elastic Constants and Elastic Moduli of Metals and Nonmetals), Kiev: Naukova Dumka, 1982.

    Google Scholar 

  15. Stankus, S.V., Investigation of the Density and Thermal Expansion of Lanthanides in a Wide Temperature Range of the Liquid and Solid States, Cand. Sci. (Phys.-Math.) Dissertation, Novosibirsk: Inst. of Thermophysics, 1983.

    Google Scholar 

  16. Novitskii, L.A. and Kozhevnikov, I.G., Teplofizicheskie svoistva materialov pri nizkikh temperaturakh. Spravochnik (The Thermal Properties of Materials at Low Temperatures: A Reference Book), Moscow: Mashinostroenie, 1975.

    Google Scholar 

  17. Gurvich, L.V., Veits, I.V., Medvedev, V.A. et al., Termodinamicheskie svoistva individual'nykh veshchestv. Spravochnik (The Thermodynamic Properties of Individual Substances: A Reference Book), Glushko, V.P., Ed., Moscow: Nauka, 1978, vol. I, book 1.

    Google Scholar 

  18. Fizicheskie velichiny. Spravochnik (Physical Quantities: A Reference Book), Grigor'ev, I.S. and Meilikhov, E.Z., Moscow: Energoatomizdat, 1991.

    Google Scholar 

  19. Flubacher, P., Leadbetter, A.J., and Morrison, J.A., Phil. Mag., 1959, vol. 4, no.39, p. 273.

    Google Scholar 

  20. Gerlich, D., Abeles, B., and Miller, R.E., J. Appl. Phys., 1965, vol. 36, no.1, p. 76.

    Article  Google Scholar 

  21. Frenkel', Ya.I., Vvedenie v teoriyu metallov (Introduction to the Theory of Metals), Moscow: Fizmatgiz, 1958.

    Google Scholar 

  22. Kraftmakher, Ya.A., Point Defects and Thermal Properties of Metals, Preprint of Inst. of Inorganic Chemistry, Siberian Div., USSR Acad. Sci., Novosibirsk, 1988, no. 88-12.

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  1. Ural State Technical University (UPI), Ekaterinburg, 620002, Russia

    V. Yu. Bodryakov, A. A. Povzner & I. V. Safonov

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  1. V. Yu. Bodryakov
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  2. A. A. Povzner
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  3. I. V. Safonov
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__________

Translated from Teplofizika Vysokikh Temperatur, Vol. 43, No. 6, 2005, pp. 860–869.

Original Russian Text Copyright © 2005 by V. Yu. Bodryakov, A. A. Povzner, and I. V. Safonov.

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Bodryakov, V.Y., Povzner, A.A. & Safonov, I.V. The Effect of Phonon Anharmonicity on the Thermodynamic Properties of Nonmetallic Solid. High Temp 43, 859–869 (2005). https://doi.org/10.1007/s10740-005-0133-1

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  • DOI: https://doi.org/10.1007/s10740-005-0133-1

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