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Lattice dynamics of sapphire (corundum)

Part II: Calculations of the Phonon Dispersion

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Zeitschrift für Physik B Condensed Matter

Abstract

Theoretical models of the lattice dynamics of sapphire (α — Al2O3), based on the assumption of rigid ions, have been fitted to measured phonons at theΓ-point of the Brillouin zone. Short range interactions were taken into account by assuming 2-body interactions between touching ions. Additional 3-body interactions could not improve the fit significantly. Calculated dispersion curves are presented and compared with inelastic neutron scattering data. A good agreement for branches along the trigonal axis can be stated.

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References

  1. Marshall, R., Mitra, S.S., Gielisse, P.J., Plendl, J.N., Mansur, L.C.: J. Chem. Phys.43, 2893 (1965)

    Google Scholar 

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

    Google Scholar 

  3. Plihal, M.: phys. stat. sol. (b)56, 495 (1973)

    Google Scholar 

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

    Google Scholar 

  5. Bialas, H., Weis, O., Wendel, H.: Phys. Lett.43A, 97 (1973)

    Google Scholar 

  6. Bialas, H., Stolz, H.J.: Z. Physik B21, 319 (1975)

    Google Scholar 

  7. Kellerman, E.W.: Phil. Trans. Roy. Soc. A238, 513 (1940)

    Google Scholar 

  8. Maradudin, A.A., Montroll, E.W., Weiss, G.H., Ipatova, I.P.: Solid State Physics suppl. 3, 2nd Edition, ed. Seitz, F., Turnbull, D. New York and London: Academic Press 1971

    Google Scholar 

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

    Google Scholar 

  10. Cowley, E.R.: Can. J. of Physics47, 1381 (1969)

    Google Scholar 

  11. Elliott, R.J., Thorpe, M.F.: Proc. Phys. Soc. (London)91, 903 (1967)

    Google Scholar 

  12. Worlton, T.G., Warren, J.L.: Comp. Phys. Comm.3, 88 (1972)

    Google Scholar 

  13. Worlton, T.G.: Comp. Phys. Comm.4, 382 (1972)

    Google Scholar 

  14. Gervais, F., Piriou, B.: J. Phys. C7, 2374 (1974)

    Google Scholar 

  15. Warren, J.L.: Rev. Mod. Phys.40, 38 (1968)

    Google Scholar 

  16. Wachtmann, J.B., Jr., Tesst, W.E., Lann, D.G., Jr., Stinchfield, R.P.: J. Res. Nat. Bur. Stand.64A, 213 (1960)

    Google Scholar 

  17. Kovalev, O.V.: Irreducible Representations of the Space Groups. Acad. Sci. Ukrainian SSR, Kiev (1961) (engl. transl. Gordon and Breach, New York 1964)

    Google Scholar 

  18. Koster, G.F.: Solid State Physics5, 173 (1957), ed. Seitz, F., Turnbull, D. New York and London: Academic Press

    Google Scholar 

Download references

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Author notes

  1. Wolfgang Kappus

    Present address: Institut für Theoretische Physik, Universität Heidelberg, Germany

Authors and Affiliations

  1. Institut für Angewandte Physik, Universität Heidelberg, Albert-Überle-Straße 3-5, D-6900, Heidelberg, Germany

    Wolfgang Kappus

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  1. Wolfgang Kappus
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Supported by the Bundesministerium für Forschung und Technologie.

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Kappus, W. Lattice dynamics of sapphire (corundum). Z Physik B 21, 325–331 (1975). https://doi.org/10.1007/BF01325391

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  • DOI: https://doi.org/10.1007/BF01325391

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