Impurity-Induced Lattice Absorption

  • L. Genzel
Chapter
Part of the Optical Physics and Engineering book series (OPEG)

Abstract

In recent years much work has been done in studying the behavior of impurity particles in crystals with respect to their influence on lattice dynamics and optical absorption. Both are changed considerably by introducing defects in crystals mainly because they destroy the translational symmetry. Hence the normal modes of vibration are modified from their usual plane wave form. Although in a perfect crystal the conservation law for all wave vectors involved in any process of phonons and photons governs its relatively simple behavior, this wave vector conservation breaks down in crystals with impurities just due to the lack of periodic symmetry. With respect to electromagnetic absorption, this means that nearly all lattice modes might become optically active as long as these modes have a nonvanishing dipole moment over the periodicity interval. This dipole moment can have its origin simply in a charge of the impurity different from that of the perfect lattice on the same lattice site, but it can also be due to the changed eigen-vector especially near the defect, The latter case applies, of course, only in ionic crystals. If the defect concentration is small enough to avoid interactions between defects, then the absorption is proportional to their concentration.

Keywords

Local Mode Resonant Mode Band Mode Mode Absorption Isotopic Substitution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

A. Theory of Vibrations and Optical Absorption in Lattices with Impurities

  1. 1.
    I. M. Lifshitz, Nuovo Cimento Suppl. 3: 716 (1956).MathSciNetCrossRefGoogle Scholar
  2. 2.
    P. Mazur, E. W. Montroll, and R. B. Potts, J. Wash. Acad. Sci. 46: 2 (1956).MathSciNetGoogle Scholar
  3. 3.
    R. F. Wallis and A. A. Maradudin, Progr. Theoret. Phys. (Kyoto) 24: 1055 (1960).MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    R. Brout and W. M. Visscher, Phys. Rev. Letters 9: 54 (1962).ADSCrossRefGoogle Scholar
  5. 5.
    W. M. Visscher, Phys. Rev. 129: 28 (1963).ADSCrossRefGoogle Scholar
  6. 6.
    A. A. Maradudin, E. W. Montroll, and H. G. Weiss, in: F. Seitz and D. Turnbull (eds.), Solid State Phys. Suppl., Vol. 3, Academic Press (New York), 1963.Google Scholar
  7. 7.
    B. Szigeti, J. Phys. Chem. Solids 24: 225 (1963).ADSCrossRefGoogle Scholar
  8. 8.
    S. Takeno, S. Kashiwamura, and E. Teramoto, Progr. Theoret. Phys. (Kyoto) Suppl. 23: 124 (1962).ADSCrossRefGoogle Scholar
  9. 9.
    S. Takeno, Progr. Theoret. Phys. (Kyoto) 29:191 (1963); 38: 995 (1967).Google Scholar
  10. 10.
    P. G. Dawber and R. J. Elliott, Proc. Roy. Soc. (London) A 273:122 (1963); Proc. Phys. Soc. 81: 453 (1963).ADSCrossRefGoogle Scholar
  11. 11.
    B. Lengeler and W. Ludwig, Z. Physik 171: 273 (1963).ADSMATHCrossRefGoogle Scholar
  12. 12.
    W. Ludwig, Ergeb. Exakt. Naturw. 35: 1 (1964).CrossRefGoogle Scholar
  13. 13.
    R. Loudon, Proc. Phys. Soc. 84: 379 (1964).ADSCrossRefGoogle Scholar
  14. 14.
    G. S. Zavt and E. E. Tyutkson, Soviet Phys. Solid State (English Transi.) 11: 2561 (1965).Google Scholar
  15. 15.
    H. Dettmann and W. Ludwig, Phys. Status Solidi 10: 689 (1965).CrossRefGoogle Scholar
  16. 16.
    L. Genzel, K. F. Renk, and R. Weber, Phys. Status Solidi 12: 639 (1965).CrossRefGoogle Scholar
  17. 17.
    M. Wagner and W. E. Bron, Phys. Rev. 139: A223 (1965).ADSCrossRefGoogle Scholar
  18. 18.
    Y. Mitani and S. Takeno, Progr. Theoret. Phys. (Kyoto) 33: 77 (1965).CrossRefGoogle Scholar
  19. 19.
    S. S. Jaswal, Phys. Rev. 137: A302 (1965).ADSCrossRefGoogle Scholar
  20. 20a.
    A. J. Sievers, NATO Advanced Study on Elementary Excitations and their Interactions, Cortina d’Ampezzo, July 1966.Google Scholar
  21. 20b.
    G. F. Nardelli, NATO Advanced Study on Elementary Excitations and their Interactions, Cortina d’Ampezzo, July 1966.Google Scholar
  22. 20c.
    M. Balkanski, NATO Advanced Study on Elementary Excitations and their Interactions, Cortina d’Ampezzo, July 1966.Google Scholar
  23. 21.
    L. Genzel, Festkörper-Probleme, VI, O. Madelung (ed.), Vieweg u. Sohn (Braunschweig ), 1967.Google Scholar

B. Band Mode Absorption

  1. 22.
    W. Kaiser and W. L. Bond, Phys. Rev. 115: 857 (1959).ADSCrossRefGoogle Scholar
  2. 23.
    S. D. Smith and J. R. Hardy, Phil. Mag. 5: 1311 (1960).ADSCrossRefGoogle Scholar
  3. 24.
    J. F. Angress, S. D. Smith, and K. F. Renk, Proc. Intern. Conf. Latt. Dyn., Copenhagen, 1963, p. 467.Google Scholar
  4. 25.
    A. J. Sievers, Phys. Rev. Letters 13: 310 (1964).ADSCrossRefGoogle Scholar
  5. 26.
    R. Weber, Phys. Letters 12: 311 (1964).ADSCrossRefGoogle Scholar
  6. 27.
    M. Balkanski and M. Nusimovici, Phys. Status Solidi 5: 635 (1964).CrossRefGoogle Scholar
  7. 28.
    C. D. Lytle, thesis, Cornell University, Ithaca, New York, 1965.Google Scholar
  8. 29.
    J. F. Angress, A. R. Goodwin, and S. D. Smith, Proc. Roy. Soc. (London) A 287: 64 (1965).ADSCrossRefGoogle Scholar
  9. 30.
    G. O. Jones and J. M. Woodfine, Proc. Phys. Soc. 86: 101 (1965).ADSCrossRefGoogle Scholar
  10. 31.
    A. J. Sievers and S. Takeno, Phys. Rev. 140:A1030 (1965); Phys. Rev. Letters 15: 1020 (1965).ADSCrossRefGoogle Scholar
  11. 32.
    K. F. Renk, Phys. Letters 14: 281 (1965).ADSCrossRefGoogle Scholar
  12. 33.
    A. J. Sievers, Low Temp. Phys. L T 9 (Part B): 1170 (1965).Google Scholar
  13. 34.
    K. F. Renk, Phys. Letters 20: 137 (1966).ADSCrossRefGoogle Scholar
  14. 35.
    K. F. Renk, thesis, University of Freiburg, Germany, 1966; Z. Physik 201: 445 (1967).ADSCrossRefGoogle Scholar
  15. 36.
    R. Weber and P. Nette, Phys. Letters 20: 493 (1966).ADSCrossRefGoogle Scholar
  16. 37.
    A. J. Sievers, R. W. Alexander, Jr., and S. Takeno, Solid State Comm. 4: 483 (1966).ADSCrossRefGoogle Scholar
  17. 38.
    I. G. Nolt and A. J. Sievers, Phys. Rev. Letters 16: 1103 (1966).ADSCrossRefGoogle Scholar

C. Local Mode Absorption and U-Centers

  1. 39.
    R. Hilsch and R. W. Pohl, Nachr. Akad. Wiss. Goettingen, II. Math. Physik Kl. Neue, Folge 2:139 (1936). Trans. Faraday Soc. 34: 883 (1938).Google Scholar
  2. 40.
    G. Schäfer, J. Phys. Chem. Solids 12: 233 (1960).ADSCrossRefGoogle Scholar
  3. 41.
    A. Mitsuishi and H. Yoshinaga, Progr. Theoret. Phys. Suppl. (Kyoto) 23: 241 (1962).ADSCrossRefGoogle Scholar
  4. 42.
    B. Fritz, J. Phys. Chem. Solids 23: 375 (1962).ADSCrossRefGoogle Scholar
  5. 43.
    W. Hayes, G. D. Jones, R. J. Elliott, and E. F. McDonald, Proc. Intern. Conf. Latt. Dyn., Copenhagen, 1963, p. 475.Google Scholar
  6. 44.
    D. N. Mirlin and 1. I. Reshina, Soviet. Phys. Solid State (English Transi.) 6: 2454 (1964).Google Scholar
  7. 45.
    W. Hayes, Phys. Rev. Letters 13:275 (1964); Phys. Rev. 138:Al227 (1965).Google Scholar
  8. 46.
    B. Fritz, U. Gross, and D. Bäuerle, Phys. Status Solidi 11: 231 (1965).CrossRefGoogle Scholar
  9. 47.
    H. Dotsch, W. Gebhardt, and Ch. Martius, Solid State Comm. 3: 297 (1965).ADSCrossRefGoogle Scholar
  10. 48.
    K. F. Renk, Phys. Letters 14: 281 (1965).ADSCrossRefGoogle Scholar
  11. 49.
    C. D. Lytle, thesis, Cornell University, Ithaca, New York, 1965.Google Scholar
  12. 50.
    A. J. Sievers and C. D. Lytle, Phys. Letters 14: 271 (1965).ADSCrossRefGoogle Scholar
  13. 51.
    S. Takeno and A. J. Sievers, Phys. Rev. Letters 15: 1020 (1965).ADSCrossRefGoogle Scholar
  14. 52.
    S. S. Mitra and R. S. Singh, Phys. Rev. Letters 16: 694 (1966).ADSCrossRefGoogle Scholar
  15. 53.
    R. H. Silsbee and D. B. Fitchen, Rev. Mod. Phys. 36: 432 (1964).ADSCrossRefGoogle Scholar
  16. 54.
    A. J. Sievers, A. A. Maradudin, and S. S. Jaswal, Phys. Rev. 138: A272 (1965).ADSCrossRefGoogle Scholar
  17. 55.
    S. S. Mitra and Y. Brada, Phys. Letters 17:19 (1965).ADSCrossRefGoogle Scholar
  18. 56.
    A. R. Goodwin and S. D. Smith, Phys. Letters 17: 203 (1965).ADSCrossRefGoogle Scholar
  19. 57.
    K. F. Renk, Phys. Letters 20: 137 (1966).ADSCrossRefGoogle Scholar
  20. 58.
    M. Balkanski and W. Nazarewicz, J. Phys. Chem. Solids 27: 671 (1966).ADSCrossRefGoogle Scholar
  21. 59.
    H. Bilz, B. Fritz, and D. Strauch, J. Phys. Radium (1966). Issue Conf. on Spectroscopy, Montpellier.Google Scholar
  22. 60.
    A. Mitsuishi, A. Manabe, and H. Yoshinaga, Semicond. Conf. Kyoto, 1966.Google Scholar

D. “Lattice Absorption” in Liquids

  1. 61.
    G. E. Ewing and S. Trajmar, J. Chem. Phys. 42: 4038 (1965).ADSCrossRefGoogle Scholar
  2. 62.
    V. Wagner, Phys. Letters 22: 58 (1966).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1969

Authors and Affiliations

  • L. Genzel
    • 1
  1. 1.Physikalisches InstitutFreiburgGermany

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