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Optical Properties of Solids pp 453–487Cite as

Impurity-Induced Lattice Absorption

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Part of the book series: Optical Physics and Engineering ((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.

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References

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

  1. I. M. Lifshitz, Nuovo Cimento Suppl. 3: 716 (1956).

    Article  MathSciNet  Google Scholar 

  2. P. Mazur, E. W. Montroll, and R. B. Potts, J. Wash. Acad. Sci. 46: 2 (1956).

    MathSciNet  Google Scholar 

  3. R. F. Wallis and A. A. Maradudin, Progr. Theoret. Phys. (Kyoto) 24: 1055 (1960).

    Article  MathSciNet  ADS  Google Scholar 

  4. R. Brout and W. M. Visscher, Phys. Rev. Letters 9: 54 (1962).

    Article  ADS  Google Scholar 

  5. W. M. Visscher, Phys. Rev. 129: 28 (1963).

    Article  ADS  Google Scholar 

  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. B. Szigeti, J. Phys. Chem. Solids 24: 225 (1963).

    Article  ADS  Google Scholar 

  8. S. Takeno, S. Kashiwamura, and E. Teramoto, Progr. Theoret. Phys. (Kyoto) Suppl. 23: 124 (1962).

    Article  ADS  Google Scholar 

  9. S. Takeno, Progr. Theoret. Phys. (Kyoto) 29:191 (1963); 38: 995 (1967).

    Google Scholar 

  10. P. G. Dawber and R. J. Elliott, Proc. Roy. Soc. (London) A 273:122 (1963); Proc. Phys. Soc. 81: 453 (1963).

    Article  ADS  Google Scholar 

  11. B. Lengeler and W. Ludwig, Z. Physik 171: 273 (1963).

    Article  ADS  MATH  Google Scholar 

  12. W. Ludwig, Ergeb. Exakt. Naturw. 35: 1 (1964).

    Article  Google Scholar 

  13. R. Loudon, Proc. Phys. Soc. 84: 379 (1964).

    Article  ADS  Google Scholar 

  14. G. S. Zavt and E. E. Tyutkson, Soviet Phys. Solid State (English Transi.) 11: 2561 (1965).

    Google Scholar 

  15. H. Dettmann and W. Ludwig, Phys. Status Solidi 10: 689 (1965).

    Article  Google Scholar 

  16. L. Genzel, K. F. Renk, and R. Weber, Phys. Status Solidi 12: 639 (1965).

    Article  Google Scholar 

  17. M. Wagner and W. E. Bron, Phys. Rev. 139: A223 (1965).

    Article  ADS  Google Scholar 

  18. Y. Mitani and S. Takeno, Progr. Theoret. Phys. (Kyoto) 33: 77 (1965).

    Article  Google Scholar 

  19. S. S. Jaswal, Phys. Rev. 137: A302 (1965).

    Article  ADS  Google Scholar 

  20. A. J. Sievers, NATO Advanced Study on Elementary Excitations and their Interactions, Cortina d’Ampezzo, July 1966.

    Google Scholar 

  21. G. F. Nardelli, NATO Advanced Study on Elementary Excitations and their Interactions, Cortina d’Ampezzo, July 1966.

    Google Scholar 

  22. M. Balkanski, NATO Advanced Study on Elementary Excitations and their Interactions, Cortina d’Ampezzo, July 1966.

    Google Scholar 

  23. L. Genzel, Festkörper-Probleme, VI, O. Madelung (ed.), Vieweg u. Sohn (Braunschweig ), 1967.

    Google Scholar 

B. Band Mode Absorption

  1. W. Kaiser and W. L. Bond, Phys. Rev. 115: 857 (1959).

    Article  ADS  Google Scholar 

  2. S. D. Smith and J. R. Hardy, Phil. Mag. 5: 1311 (1960).

    Article  ADS  Google Scholar 

  3. J. F. Angress, S. D. Smith, and K. F. Renk, Proc. Intern. Conf. Latt. Dyn., Copenhagen, 1963, p. 467.

    Google Scholar 

  4. A. J. Sievers, Phys. Rev. Letters 13: 310 (1964).

    Article  ADS  Google Scholar 

  5. R. Weber, Phys. Letters 12: 311 (1964).

    Article  ADS  Google Scholar 

  6. M. Balkanski and M. Nusimovici, Phys. Status Solidi 5: 635 (1964).

    Article  Google Scholar 

  7. C. D. Lytle, thesis, Cornell University, Ithaca, New York, 1965.

    Google Scholar 

  8. J. F. Angress, A. R. Goodwin, and S. D. Smith, Proc. Roy. Soc. (London) A 287: 64 (1965).

    Article  ADS  Google Scholar 

  9. G. O. Jones and J. M. Woodfine, Proc. Phys. Soc. 86: 101 (1965).

    Article  ADS  Google Scholar 

  10. A. J. Sievers and S. Takeno, Phys. Rev. 140:A1030 (1965); Phys. Rev. Letters 15: 1020 (1965).

    Article  ADS  Google Scholar 

  11. K. F. Renk, Phys. Letters 14: 281 (1965).

    Article  ADS  Google Scholar 

  12. A. J. Sievers, Low Temp. Phys. L T 9 (Part B): 1170 (1965).

    Google Scholar 

  13. K. F. Renk, Phys. Letters 20: 137 (1966).

    Article  ADS  Google Scholar 

  14. K. F. Renk, thesis, University of Freiburg, Germany, 1966; Z. Physik 201: 445 (1967).

    Article  ADS  Google Scholar 

  15. R. Weber and P. Nette, Phys. Letters 20: 493 (1966).

    Article  ADS  Google Scholar 

  16. A. J. Sievers, R. W. Alexander, Jr., and S. Takeno, Solid State Comm. 4: 483 (1966).

    Article  ADS  Google Scholar 

  17. I. G. Nolt and A. J. Sievers, Phys. Rev. Letters 16: 1103 (1966).

    Article  ADS  Google Scholar 

C. Local Mode Absorption and U-Centers

  1. 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. G. Schäfer, J. Phys. Chem. Solids 12: 233 (1960).

    Article  ADS  Google Scholar 

  3. A. Mitsuishi and H. Yoshinaga, Progr. Theoret. Phys. Suppl. (Kyoto) 23: 241 (1962).

    Article  ADS  Google Scholar 

  4. B. Fritz, J. Phys. Chem. Solids 23: 375 (1962).

    Article  ADS  Google Scholar 

  5. W. Hayes, G. D. Jones, R. J. Elliott, and E. F. McDonald, Proc. Intern. Conf. Latt. Dyn., Copenhagen, 1963, p. 475.

    Google Scholar 

  6. D. N. Mirlin and 1. I. Reshina, Soviet. Phys. Solid State (English Transi.) 6: 2454 (1964).

    Google Scholar 

  7. W. Hayes, Phys. Rev. Letters 13:275 (1964); Phys. Rev. 138:Al227 (1965).

    Google Scholar 

  8. B. Fritz, U. Gross, and D. Bäuerle, Phys. Status Solidi 11: 231 (1965).

    Article  Google Scholar 

  9. H. Dotsch, W. Gebhardt, and Ch. Martius, Solid State Comm. 3: 297 (1965).

    Article  ADS  Google Scholar 

  10. K. F. Renk, Phys. Letters 14: 281 (1965).

    Article  ADS  Google Scholar 

  11. C. D. Lytle, thesis, Cornell University, Ithaca, New York, 1965.

    Google Scholar 

  12. A. J. Sievers and C. D. Lytle, Phys. Letters 14: 271 (1965).

    Article  ADS  Google Scholar 

  13. S. Takeno and A. J. Sievers, Phys. Rev. Letters 15: 1020 (1965).

    Article  ADS  Google Scholar 

  14. S. S. Mitra and R. S. Singh, Phys. Rev. Letters 16: 694 (1966).

    Article  ADS  Google Scholar 

  15. R. H. Silsbee and D. B. Fitchen, Rev. Mod. Phys. 36: 432 (1964).

    Article  ADS  Google Scholar 

  16. A. J. Sievers, A. A. Maradudin, and S. S. Jaswal, Phys. Rev. 138: A272 (1965).

    Article  ADS  Google Scholar 

  17. S. S. Mitra and Y. Brada, Phys. Letters 17:19 (1965).

    Article  ADS  Google Scholar 

  18. A. R. Goodwin and S. D. Smith, Phys. Letters 17: 203 (1965).

    Article  ADS  Google Scholar 

  19. K. F. Renk, Phys. Letters 20: 137 (1966).

    Article  ADS  Google Scholar 

  20. M. Balkanski and W. Nazarewicz, J. Phys. Chem. Solids 27: 671 (1966).

    Article  ADS  Google Scholar 

  21. H. Bilz, B. Fritz, and D. Strauch, J. Phys. Radium (1966). Issue Conf. on Spectroscopy, Montpellier.

    Google Scholar 

  22. A. Mitsuishi, A. Manabe, and H. Yoshinaga, Semicond. Conf. Kyoto, 1966.

    Google Scholar 

D. “Lattice Absorption” in Liquids

  1. G. E. Ewing and S. Trajmar, J. Chem. Phys. 42: 4038 (1965).

    Article  ADS  Google Scholar 

  2. V. Wagner, Phys. Letters 22: 58 (1966).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Physikalisches Institut, Freiburg, Germany

    L. Genzel

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  1. L. Genzel
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Editors and Affiliations

  1. Department of Electrical Engineering, University of Rhode Island, Kingston, Rhode Island, USA

    Sol Nudelman  & S. S. Mitra  & 

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© 1969 Springer Science+Business Media New York

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Genzel, L. (1969). Impurity-Induced Lattice Absorption. In: Nudelman, S., Mitra, S.S. (eds) Optical Properties of Solids. Optical Physics and Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1123-3_15

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  • DOI: https://doi.org/10.1007/978-1-4757-1123-3_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1125-7

  • Online ISBN: 978-1-4757-1123-3

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