Microscopic Theory of Lattice Raman Scattering in Crystals Containing Impurities

  • Achintya K. Ganguly
  • Joseph L. Birman
Conference paper


In this paper we develop a general theory of lattice Raman scattering by an insulator containing isolated mass defects which have no net charge with respect to the perfect lattice. The theory given here is specialized to the case where the lattice force constants and the electronic wave functions of the crystal are assumed unperturbed by the defect. The Raman scattering tensor has been obtained as a function of the incident photon frequency and all lattice frequencies. The Raman tensor has poles at incident photon energies equal to creation of virtual excitons. This divergence appears in all types of lattice vibrations: local, resonance and band modes.


Band Mode Scattered Photon Incident Photon Energy Imperfect Crystal Perfect Lattice 
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  1. 1.
    A.K. Ganguly and J.L. Birman, Phys. Rev. 162, 806 (1967).CrossRefGoogle Scholar
  2. 2.
    R.S. Knox, Solid State Physics, Supplement 5, 37 (1963).Google Scholar
  3. 3.
    M.A. Ivanov, M.A. Krivoglaz, and V.F. Los, Soviet Physics-Solid State 8, 2294 (1967).Google Scholar
  4. 4.
    P.G. Dawber and R.J. Elliot, Proc. Roy. Soc. A273, 222 (1963).CrossRefGoogle Scholar
  5. 5.
    H. Frohlich, Advan. Phys. 3, 325 (1954).CrossRefGoogle Scholar
  6. 6.
    A.A. Maradudin, Solid State Physics 19, 1 (1966).CrossRefGoogle Scholar
  7. 7.
    P. Pfeuty, J.L. Birman, M.A. Nusimovici, M. Balkanski, “Localized Excitations in Solid,” p. 210, Plenum Press, 1968.Google Scholar

Copyright information

© Springer Science+Business Media New York 1969

Authors and Affiliations

  • Achintya K. Ganguly
    • 1
  • Joseph L. Birman
    • 2
  1. 1.The Bayside LaboratoryResearch Center of General Telephone & Electronics Laboratories IncorporatedBaysideUSA
  2. 2.Physics DepartmentNew York UniversityUniversity HeightsUSA

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