Skip to main content
SpringerLink
Log in

Lattice dynamics of sapphire (Al2O3)

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Using inelastic neutron scattering we have determined all the dispersion branches of the Λ1, Λ2 and Λ3 representations along the three-fold axis as well as the 2 times 15 branches of Σ1 and Σ2 symmetry along the Г-A-direction plus some branches along the Г-D-direction. The experimental data are analyzed using various rigid ion, polarizable ion and shell models. The shell models give a very satisfactory account of the dispersion curves as well as the scattering intensities. Special attention is given to the investigation of dielectric constants and equilibrium conditions.

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. Newsam, J.M.: Science231, 1093 (1986)

    Google Scholar 

  2. Causà, M., Dovesi, R., Roetti, C.,Kotomin, E., Saunders, V.R.: Chem. Phys. Lett.140, 120 (1987)

    Google Scholar 

  3. Dräger, G., Leiro, J.A.: Phys. Rev. B41, 12919 (1990)

    Google Scholar 

  4. Weis, O.: J. Phys. (Paris)33, C4 49 (1972)

    Google Scholar 

  5. Every, A.G., Koos, G.L., Wolfe, J.P.: Phys. Rev. B29, 2190 (1984)

    Google Scholar 

  6. Bialas, H., Weis, O., Wendel, H.: Phys. Lett. A43, 97 (1973)

    Google Scholar 

  7. Bialas, H.: Z. Phys. B27, 319 (1977)

    Google Scholar 

  8. Bialas, H., Stolz, H.J.: Z. Phys. B21, 319 (1975)

    Google Scholar 

  9. Kappus, W.: Z. Phys. B21, 325 (1975)

    Google Scholar 

  10. Iishi, K.: Phys. Chem. Minerals3, 1 (1978)

    Google Scholar 

  11. Mackrodt, W.C., Stewart, R.F.: J. Phys. C12, 431 (1979)

    Google Scholar 

  12. Strauch, D., Dorner, B., Z. Phys.: Condensed Matter5, 6/49 (1993) and Schober, H., Strauch, D., Nützel, K., Dorner, B., J. Phys.: Condensed Matter 5, 6/55 (1993)

    Google Scholar 

  13. Porto, S.P.S., Krishnan, R.S.: J. Chem. Phys.47, 1009 (1967)

    Google Scholar 

  14. Barker, A.S. Jr.: Phys. Rev.132, 1474 (1963)

    Google Scholar 

  15. Rosenstock, H.B.: Phys. Rev.129, 1959 (1962)

    Google Scholar 

  16. Koster, G.F.: Solid State Phys.5, 173 (1957)

    Google Scholar 

  17. Keating, P.N.: Phys. Rev.145, 637 (1966)

    Google Scholar 

  18. Schober, H., Strauch, D., Z. Phys.: Condensed Matter5, 6/65 (1993)

    Google Scholar 

  19. Weber, W.: Phys. Rev. B15, 4789 (1977)

    Google Scholar 

  20. Wyckhoff, R.W.G.: Crystal structures. 2nd edn., Vol. 2, p. 6. New York, London, Sydney: Intersience 1964

    Google Scholar 

  21. Tessman, J.R., Kahn, A.H., Shockley, W.: Phys. Rev.92, 890 (1953)

    Google Scholar 

  22. Cochran, W., Cowley, R.A.: J. Phys. Chem. Solids23, 447 (1962)

    Google Scholar 

  23. Eckold, G., Stein-Arsic, M., Weber, H.J.: J. Appl. Crystallogr.20, 134 (1987)

    Google Scholar 

  24. Cowley, E.R.: Can. J. Phys.47, 1381 (1969)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kernforschungszentrum Karlsruhe, D-76021, Karlsruhe, Germany

    H. Schober

  2. Institut Laue-Langevin, B.P. 156, F-38042, Grenoble, France

    H. Schober & B. Dorner

  3. Institut für Theoretische Physik der Universität, D-93040, Regensburg, Germany

    D. Strauch

Authors
  1. H. Schober
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Strauch
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. Dorner
    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

Schober, H., Strauch, D. & Dorner, B. Lattice dynamics of sapphire (Al2O3). Z. Physik B - Condensed Matter 92, 273–283 (1993). https://doi.org/10.1007/BF01308745

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308745

PACS

Search

Navigation