Optical Phonons in Ionic Crystals in the Presence of Surfaces or Defects

  • Robert Englman
  • Raphael Ruppin


We have investigated the properties of long wave optical phonons in ionic crystals in the presence of surfaces or defects. Because of the existence of long range Coulomb forces the localized phonon modes in these crystals differ in many respects from those appearing in crystals in which the atoms interact through short range forces only. Whereas in the latter case the displacement amplitudes decay exponentially or even faster with increasing distance from the surface or the impurity site, it is found that in the presence of long range forces the localized optical modes usually decay much more slowly.


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  1. (1).
    R. Englman and R. Ruppin, Phys. Rev. Letters, 16, 898 (1966).ADSCrossRefGoogle Scholar
  2. (2).
    H. Fröhlich, Theory of Dielectrics (Oxford University Press, London, 1958) ch. IV.MATHGoogle Scholar
  3. (3).
    R.A. Cowley, Phys. Rev. 134, A981 (1963).ADSCrossRefGoogle Scholar
  4. (4).
    M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, London, 1956) ch. II.Google Scholar
  5. (5).
    R. Fuchs, K.L. Kliewer, and W.J. Pardee, Phys. Rev. 150, 589 (1966).ADSCrossRefGoogle Scholar
  6. (6).
    D.W. Berreman, Phys. Rev. 130, 2193 (1963).ADSCrossRefGoogle Scholar
  7. (7).
    M. Tsuboi, M. Terada, and T. Shimanouchi, J. Chem. Phys. , 36, 1301 (1962).ADSCrossRefGoogle Scholar
  8. (8).
    J.D. Axe and G.D. Pettit, Phys. Rev. 151, 676 (1966).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1968

Authors and Affiliations

  • Robert Englman
    • 1
  • Raphael Ruppin
    • 1
  1. 1.Israel Atomic Energy CommissionSoreq Nuclear Research CentreYavneIsrael

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