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Localized and Resonance Modes in Ionic Crystals

  • Chapter
Localized Excitations in Solids

Abstract

Impurity-activated lattice absorption was first observed in alkali halide crystals by Schäfer(1) in 1958. The infrared absorption occurred at a frequency far above the maximum phonon frequency of the host lattice and was correctly identified as due to a localized lattice mode. Because not only localized modes but other types of lattice impurity modes already had been predicted in a variety of theoretical studies, (2) Schäfer’s success signaled that perhaps some of these other impurity modes could also be observed. Here we shall consider the observation of some impurity modes by spectroscopic methods.

This research was mainly supported by the U. S. Atomic Energy Commission under contract AT(30–1)-2391, Technical Report No. NYO-2391-62. Additional support was received from the Advanced Research Projects Agency through the use of space and technical facilities of the Materials Science Center at Cornell University.

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References

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

    Article  ADS  Google Scholar 

  2. For a complete list of references on the mass defect problem see: A. A. Maradudin, E. W. Montroll, and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation, Solid State Physics Suppl. 3, F. Seitz and D. Turnbull, Editors [Academic Press, 1963].

    Google Scholar 

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

    Google Scholar 

  4. K. F. Renk, Z. Physik 201, 445 (1967).

    Article  ADS  Google Scholar 

  5. R. Weber, Ph. D. Thesis, Physikalisches Institut der Universität, Freiburg Im Breisgau (1967).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  7. L. Genzel, K. F. Renk, and R. Weber, Phys. stat. sol. 12, 639 (1965).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. P. G. Dawber and R. J. Elliott, Proc. Roy. Soc. 273, 222 (1963);

    Article  ADS  MATH  Google Scholar 

  10. P. G. Dawber and R. J. Elliott, Proc. Phys. Soc. 81, 453 (1963).

    Article  ADS  Google Scholar 

  11. A. J. Sievers, Low Temperature Physics, J. Daunt, D. Edwards, F. Milford, and M. Yaqub, eds. (Plenum Press, New York), LT9, Part B, p. 1170.

    Google Scholar 

  12. G. Dolling, R. A. Cowley, C. Schittenhelm and I. M. Thorson, Phys. Rev. 147, 577 (1966).

    Article  ADS  Google Scholar 

  13. J. H. Schulman and W. D. Compton, Color Centers in Solids, (MacMillan Company, New York, 1962) p. 49.

    Google Scholar 

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

    Article  ADS  Google Scholar 

  15. I. G. Nolt, R. A. Westwig, R. W. Alexander, Jr., and A. J. Sievers, Phys. Rev. 157, 730 (1967).

    Article  ADS  Google Scholar 

  16. Y. Mitani and S. Takeno, Prog. of Theoret. Phys. (Kyoto) 33, 779 (1965).

    Article  ADS  Google Scholar 

  17. L. Pauling, Nature of the Chemical Bond, (Cornell University Press, Ithaca, 1945).

    Google Scholar 

  18. G. Benedek and A. A. Maradudin, to be published.

    Google Scholar 

  19. C. D. Lytle, M. S. Thesis, Cornell University, Ithaca (1965).

    Google Scholar 

  20. A. J. Sievers and C. D. Lytle, Physics Letters 14, 271 (1965).

    Article  ADS  Google Scholar 

  21. K. F. Renk, Physics Letters 14, 281 (1965).

    Article  ADS  Google Scholar 

  22. K. F. Renk, Physics Letters 20, 137 (1966).

    Article  ADS  Google Scholar 

  23. T. Timusk and W. Staude, Phys. Rev. Letters 13, 373 (1964).

    Article  ADS  Google Scholar 

  24. H. S. Sack and M. C. Moriarty, Solid State Comm. 3, 93 (1965).

    Article  ADS  Google Scholar 

  25. V. Narayanamurti, W. D. Seward, and R. O. Pohl, Phys. Rev. 148, 481 (1966).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. R. Weber, Physics Letters 12, 311 (1964).

    Article  ADS  Google Scholar 

  28. A. D. B. Woods, B. N. Brockhouse, R. A. Cowley, and W. Cochran, Phys. Rev. 131, 1025 (1963).

    Article  ADS  Google Scholar 

  29. A more detailed description of the isotope shifts is in preparation. R. D. Kirby, I. G. Nolt, R. W. Alexander, Jr. and A. J. Sievers, to be published.

    Google Scholar 

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

    Article  ADS  Google Scholar 

  31. A. J. Sievers and S. Takeno, Phys. Rev. 140, 1030 (1965).

    Article  ADS  Google Scholar 

  32. G. Benedek and G. F. Nardelli, Phys. Rev. 155, 1004 (1967).

    Article  ADS  Google Scholar 

  33. M. V. Klein, Physics of Color Centers, W. Beall Fowler, ed. (Academic Press, 1968) Chapter 7.

    Google Scholar 

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

    Article  ADS  Google Scholar 

  35. I. G. Nolt, Ph. D. Thesis, Cornell University, Ithaca (1967).

    Google Scholar 

  36. W. Barth and B. Fritz, phys. stat. sol. 19, 515 (1967).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. R. H. Silsbee, Phys. Rev. 128, 1726 (1962);

    Article  ADS  Google Scholar 

  39. R. H. Silsbee and D. B. Fitchen, Rev. Mod. Phys. 36, 423 (1964).

    Article  ADS  Google Scholar 

  40. T. Timusk and M. V. Klein, Phys. Rev. 141, 664 (1966).

    Article  ADS  Google Scholar 

  41. D. E. McCumber, Phys. Rev. 133, A163 (1964).

    Article  ADS  Google Scholar 

  42. R. W. Alexander, Jr. and A. J. Sievers, to be published.

    Google Scholar 

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Sievers, A.J. (1968). Localized and Resonance Modes in Ionic Crystals. In: Wallis, R.F. (eds) Localized Excitations in Solids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6445-8_3

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  • DOI: https://doi.org/10.1007/978-1-4899-6445-8_3

  • Publisher Name: Springer, Boston, MA

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