Skip to main content
SpringerLink
Log in

Self-Consistent Thermodynamic Description of a Nonmetallic Nonferromagnetic Solid (using silicon as an example)

  • Published:
High Temperature Aims and scope

Abstract

An algorithm is developed for constructing a self-consistent thermodynamic model of the Debye type to simultaneously describe the temperature dependences of the entire complex of the basic thermal properties of a nonferromagnetic nonmetallic isotropic solid. Silicon is used as an example to demonstrate that, even within simplified model assumptions about the values of thermodynamic parameters, it is possible to make a very satisfactory self- consistent description of thermodynamic parameters of a solid in a wide temperature range of many hundreds of kelvins.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

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

    Google Scholar 

  2. Landau, L.D. and Lifshitz, E.M., Statisticheskaya fizika(Statistical Physics), Moscow: Nauka, 1976, Part 1.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. Leadbetter, A.J., J. Phys.C, 1968, vol. 1, no. 2, p. 1481.

    Google Scholar 

  7. Leadbetter, A.J., J. Phys.C, 1968, vol. 1, no. 2, p. 1489.

    Google Scholar 

  8. Bodryakov, V.Yu. and Zamyatin, V.M., Fiz. Met. Metalloved., 1998, vol. 85, no. 4, p. 18.

    Google Scholar 

  9. Bodryakov, V.Yu. and Zamyatin, V.M., Metally, 1999, no. 4, p. 123.

    Google Scholar 

  10. 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 

  11. Bodryakov, V.Yu., Povzner, A.A., and Zelyukova, O.G., Fiz. Tverd. Tela, 1998, vol. 40, no. 9, p. 1581.

    Google Scholar 

  12. Bodryakov, V.Yu., Petrushkin, V.V., and Povzner, A.A., Fiz. Met. Metalloved., 2000, vol. 89, no. 4, p. 5.

    Google Scholar 

  13. Bodryakov, V.Yu. and Povzner, A.A., Fiz. Met. Metalloved., 2000, vol. 89, no. 6, p. 21.

    Google Scholar 

  14. Bodryakov, V.Yu., Petrushkin, V.V., and Povzner, A.A., Fiz. Met. Metalloved., 2000, vol. 90, no. 6, p. 45.

    Google Scholar 

  15. Bodryakov, V.Yu., Povzner, A.A., and Zelyukova, O.G., Metally, 2000, no. 2, p. 1053.

    Google Scholar 

  16. Bodryakov, V.Yu., Solid State Commun., 1992, vol. 83, no. 12, p. 1053.

    Article  Google Scholar 

  17. Fainitskii, M.Z. and Agafonova, A.E., Izv. Akad. Nauk SSSR Neorg. Mater., 1991, vol. 27, no. 11, p. 2350.

    Google Scholar 

  18. 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 

  19. Gurvich, L.V., Veits, I.V., Medvedev, V.A. et al., Termodinamicheski svoistva individual'nykh veshchestv. Spravoch-nik(The Thermodynamic Properties of Individual Substanc-es: A Reference Book), Glushko, V.P., Ed., Moscow: Nauka, 1979, vol. II, book 1.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  22. Serebrennikov, N.N. and Gel'd, P.V., Dokl. Akad. Nauk SSSR,1952, vol. 87, no. 6, p. 021.

    Google Scholar 

  23. Kantor, P.B., Kisel', A.N., and Fomichev, E.N., Ukr. Fiz. Zh.Russ. Ed., 1960, vol. 5, no. 3, p. 358.

    Google Scholar 

  24. Shanks, H.R., Maycock, P.D., Sidles, P.H., and Danielsen, G.C., Phys. Rev., 1963, vol. 130, no. 5, p. 1743.

    Article  Google Scholar 

  25. Kalishevich, I.G., Gel'd, 6P.V., and Krentsis, R.P., Zh. Fiz.Khim., 1965, vol. 39, no. 12, p. 2999.

    Google Scholar 

  26. Sirota, N.N. and Sidorov, A.A., Dokl. Akad. Nauk SSSR,1988, vol. 303, no. 5, p. 1123.

    Google Scholar 

  27. Landau, L.D. and Lifshitz, E.M., Teoriya uprugosti(TheElasticity Theory), Moscow: Nauka, 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    V. Yu. Bodryakov

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

    A. A. Povzner

Authors
  1. V. Yu. Bodryakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Povzner
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bodryakov, V.Y., Povzner, A.A. Self-Consistent Thermodynamic Description of a Nonmetallic Nonferromagnetic Solid (using silicon as an example). High Temperature 42, 565–573 (2004). https://doi.org/10.1023/B:HITE.0000039984.62689.c8

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:HITE.0000039984.62689.c8

Search

Navigation