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Der Jahn-Teller-Effekt

  • Teil I. Referate des Fachausschusses ‚’Halbleiter”
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Festkörperprobleme 9

Part of the book series: Advances in Solid State Physics ((ASSP,volume 9))

Abstract

This paper gives an introduction into the optical phenomena of the Jahn-Teller effect. In a discussion of a limited number of systems the basic aspects of the effect are described. In section 2 orbital doublets are discussed (E-states): In 2.1 the Jahn-Teller theorem is formulated, in 2.2 it is applied to the E-state for static distortions using ions with a d9-configuration as examples, in 2.3.1 a case of tunnel splitting is described, and in 2.3.2 the theory of vibronic states is outlined. Sone further examples of the dynamic Jahn-Teller effect are given in 2.4.

Section 3 deals with orbital triplets (T-states): The coupling with Eg-and T2g-modes in the static case are briefly described in 3.1, weak spin-orbit interaction and the Ham-effect are discussed in 3.3.

In section 4 we give some criteria of the strength and observability of the Jahn-Teller effect in 4.1, and we conclude in 4.2 with a brief summery of the present state of experimental and theoretical methods.

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Literatur

  1. H. A. Jahn, E. Teller, Proc. Roy. Soc. A 161, 220 (1937).

    Article  MATH  ADS  Google Scholar 

  2. H. A. Jahn, Proc. Roy. Soc. A 164, 117 (1938).

    Article  MATH  ADS  Google Scholar 

  3. S. Knox, A. Gold, Symmetry in the Solid State, (W. A. Benjamin, New York, 1964).

    MATH  Google Scholar 

  4. C. J. Ballhausen, Introduction to Ligand Field Theory (McGraw Hill, New York 1962).

    MATH  Google Scholar 

  5. K. S. Irani, A. P. B. Biswas, Phys. Chem. Solids 17, 101 (1960), 23, 711 (1962); P. J. Wojtowicz, Phys. Rev. 116, 32 (1959); J. Kanamori, J. appl. Phys. 31 Suppl. 14 (1960).

    Article  ADS  Google Scholar 

  6. J. B. Goodenough, Magnetism and the Chemical Bond (Interscience, New York 1963).

    Google Scholar 

  7. G. D. Watkins, in Effets, des rayonnements sur les semiconducteurs, hrsg. von P. Baruch (Dunod, Paris 1965).

    Google Scholar 

  8. P. R. Moran, Phys. Rev. 137, A1016 (1965).

    Article  ADS  Google Scholar 

  9. R. H. Silsbee, Phys. Rev. 138, 180 (1965).

    Article  ADS  Google Scholar 

  10. U. Öpik, M. H. L. Pryce, Proc. Roy. Soc. A 238, 425 (1957).

    Article  MATH  ADS  Google Scholar 

  11. W. Moffitt, W. Thorson, Phys. Rev. 108, 125 (1957).

    Article  ADS  Google Scholar 

  12. H. C. Longet-Higgins, U. Öpik, M. H. L. Pryce, H. Sack, Proc. Roy. Soc. A 244, 1 (1958); M. S. Child, H. C. Longet-Higgins, Proc. Roy. Soc. A, 254, 259 (1961).

    Article  ADS  Google Scholar 

  13. H. C. Longet-Higgins, Advan. Spectr. 2, 429 (1961).

    Google Scholar 

  14. A. D. Liehr, Z. Naturforsch. 169, 641 (1961).

    ADS  Google Scholar 

  15. J. C. Slonczewski, Phys. Rev. 131, 1596 (1963).

    Article  MATH  ADS  Google Scholar 

  16. F. S. Ham, Phys. Rev. 138, A1727 (1965), Phys. Rev. 166, 307 (1968).

    Article  ADS  Google Scholar 

  17. M. D. Sturge in Solid State Physics 20 (Academic Press, New York 1967).

    Google Scholar 

  18. M. V. Klein in Physics of Color Centers Hrsg von W. B. Fowler (Acad. Press Inc., New York 1968).

    Google Scholar 

  19. W. L. Clinton, B. Rice, J. Chem. Phys. 30, 542 (1959).

    Article  ADS  MathSciNet  Google Scholar 

  20. B. Bleaney, K. O. Bowers, R. S. Trenam, Proc. Roy. Soc. A 228, 157 (1955).

    Article  ADS  Google Scholar 

  21. R. H. Borcherts, H. Kanzaki, H. Abe, unveröffentlichte Arbeit.

    Google Scholar 

  22. E. Krätzig, Diplomarbeit (Frankfurt 1965). E. Krätzig, T. Timusk, W. Martienssen, phys. stat. sol. 10, 709 (1965).

    Google Scholar 

  23. W. Low, J. T. Suss, Phys. Lett 7, 310 (1963).

    Article  ADS  Google Scholar 

  24. W. Hayes, J. Wilkens, Proc. Roy. Soc. A 281, 340 (1964).

    Article  ADS  Google Scholar 

  25. C. J. Delbecq, W. Hayes, M. C. M. O’Brien, P. H. Yuster, Proc. Roy. Soc. A 271, 243 (1963).

    Article  ADS  Google Scholar 

  26. D. Silber, Frankfurt, unveröffentlichte Messungen.

    Google Scholar 

  27. M. C. M. O’Brien, Proc. Roy. Soc. A 281, 323 (1964).

    Article  ADS  Google Scholar 

  28. K. T. Höchli, Phys. Rev. 162, 262 (1967)

    Article  ADS  Google Scholar 

  29. I. B. Bersuker, Soviet Phys.—JETP 16, 933 (1963), 17, 836 (1963).

    ADS  Google Scholar 

  30. J. C. Slonczewski V. L. Moruzzi, Physics 3, 237 (1967).

    Google Scholar 

  31. D. B. Fitchen, Proc. Int. Conf. of Luminescence (Budapest 1967).

    Google Scholar 

  32. D. B. Fitchen, in Physics of Color Centers, hrsg. von W. B. Fowler, Acad. Press Inc. (1968).

    Google Scholar 

  33. D. L. Dexter in Solid State Physics, 6, (Acad. Press, New York 1958).

    Google Scholar 

  34. H. Rudek, Diplomarbeit (Frankfurt 1966).

    Google Scholar 

  35. D. C. Krupka, R. H. Silsbee, Phys. Rev. 152, 816 (1966).

    Article  ADS  Google Scholar 

  36. H.R. Fetterman, Thesis, Cornell University (Ithaka 1968).

    Google Scholar 

  37. M. Sangster, Thesis, University of Reading (1968).

    Google Scholar 

  38. F. Lanzl, Phys. Lett 25A, 596 (1967).

    ADS  Google Scholar 

  39. G. Johannson, F. Lanzl, W. von der Osten, R. Piehl, W. Waidelich, Phys. Rev. 25A, 598 (1967).

    Google Scholar 

  40. W. E. Bron, M. Wagner, Phys. Rev. 139, A223 (1965), 145, 689 (1966).

    Article  Google Scholar 

  41. F. A. Cotton, M. D. Meyers, J. Am. Chem. Soc. 82, 5023 (1960).

    Article  Google Scholar 

  42. G. D. Jones, Phys. Rev. 155, 259 (1967).

    Article  ADS  Google Scholar 

  43. M. Lax, J. Chem. Phys. 20, 1752 (1952).

    Article  ADS  MathSciNet  Google Scholar 

  44. Y. Toyozawa, M. Inoue, J. Phys. Soc. Japan 21, 1663 (1966).

    Article  ADS  Google Scholar 

  45. T. J. Shanklan J. Phys. Chem., 29, 1907 (1968).

    Google Scholar 

  46. A. D. Liehr, J. Phys. Chem. 67, 389 und 471 (1963).

    Article  Google Scholar 

  47. G. A. Slack, F. S. Ham, R. M. Chrenko, Phys. Rev. 152, 376 (1966).

    Article  ADS  Google Scholar 

  48. H. H. Woodbury, G. W. Ludwig, Phys. Rev. 117, 102 (1959), Phys. Rev. Lett. 5, 98 (1960).

    Article  ADS  Google Scholar 

  49. W. C. Scott, M. D. Sturge, Phys. Rev. 146, 262 (1966).

    Article  ADS  Google Scholar 

  50. F. Hughes, H. Rabin, J. Phys. Chem. Aolids 24, 586 (1963).

    ADS  Google Scholar 

  51. T. A. Fulton, Thesis, Cornell University (Ithaka 1963).

    Google Scholar 

  52. T.A. Fulton, D. B. Fitchen, erscheint in Phys. Rev.

    Google Scholar 

  53. C. H. Henry, S. E. Schnatterly, C. P. Slichter Phys. Rev. 137, A583 (1965); C. H. Henry, C. P. Slichter, in Physics of Color Centers, hrsg. von W. B. Fowler (Acad. Press Inc., New York 1968); W. Gebhardt, Phys. Rev. 159, 726 (1967).

    Article  ADS  Google Scholar 

  54. A. Fukuda, K. Inohara, R. Onaka, J. Phys. Soc. Japan 19, 1274 (1964); A. Fukuda, M. Makishima, Phys. Lett. 24 A, 267 (1967); W. K. Wagner, Z. Physik 181, 143 (1964).

    Article  ADS  Google Scholar 

  55. K. Fußgänger, Doktorarbeit (Frankfurt 1968).

    Google Scholar 

  56. K. Cho, Techn. Rep. of ISSR, Ser. A 320 (1968).

    Google Scholar 

  57. A. Honma, Science of Light 16, 212 und 229 (1967); 17, 34 (1968).

    Google Scholar 

  58. D. Bimberg, W. Dultz, W. Gebhardt, phys. stat. sol. 31, 661 (1969); D. Bimberg, W. Dultz, K. Fuβgänger, W. Gebhardt, erscheint in Z. f. Physik; W. Dultz, Frankfurt, unveröffentlichte, Messungen.

    Article  ADS  Google Scholar 

  59. C. C. Klick, W. D. Compton, J. Phys. Chem Solids 7, 170 (1958).

    Article  ADS  Google Scholar 

  60. R. Edgerton, Phys. Rev. 138, A85 (1965).

    Article  ADS  Google Scholar 

  61. A. Fukuda, S. Makishima, J. Phys. Chem. Solids 28, 1763 (1967).

    Article  ADS  Google Scholar 

  62. N. N. Kristofel, Optics Spectr. 18, 448 (1965).

    ADS  Google Scholar 

  63. V. Gerhardt, M. Spiller, Frankfurt, unveröffentlichte Messungen.

    Google Scholar 

  64. M. Tomura, H. Nishimura, J. Phys. Soc. Japan 20, 1536 (1965); M. Tomura, H. Nishimura, Y. Kawashima, J. Phys. Soc. Japan 21, 2081, (1966).

    Article  ADS  Google Scholar 

  65. M. Caner, R. Englman, J. Chem. Phys. 44, 4054 (1966).

    Article  ADS  Google Scholar 

  66. T. Shimada, M. Ishiguro, Vorabdruck einer Arbeit.

    Google Scholar 

  67. H. Kamimura, S. Sugano J. Phys. Soc. Japan 14, 1612 (1959).

    Article  ADS  Google Scholar 

  68. N. N. Kristofel, Optics Spectr. 24, 297 (1968).

    ADS  Google Scholar 

  69. R. K. Ahrenkiel, Solid State Comm. 6, 741 (1968).

    Article  ADS  Google Scholar 

  70. H. L. Schläfer, G. Gliemann, Einführung in die Ligandenfeldtheorie, (Frankfurt 1967).

    Google Scholar 

  71. G. D. Watkins, J. W. Corbett, Phys. Rev. 121, 1001 (1961), 134, A 1359 (1964), 138, A543 (1965); G. D. Watkins, Phys. Rev. 155, 802 (1967); E. L. Elkin, G. D. Watkins, erscheint in Phys. Rev.

    Article  ADS  Google Scholar 

  72. W. V. Smith, P. P. Sorokin, I. L. Gelles, G. J. Lasher, Phys. Rev. 115, 1546 (1959); J. H. N. Loubser, L. du Preez, Brit. J. Appl. Phys. 16, 457 (1965); L. A. Shul’man, I. M. Zaritskii, G. A. Podzyarei, Sov. Phys.-Solid State 8, 1842 (1967).

    Article  ADS  Google Scholar 

  73. K. T. Höchli Bull. Am. Soc. 2 11, 203 (1966)

    Google Scholar 

  74. F. S. Ham, in Optical Properties of Ions in Crystals, hrsg. von Crosswhite und Moose (1968).

    Google Scholar 

  75. O. F. Schirmer, K. A. Müller, J. Schneider, Phys. Kond. Mat. 3, 323 (1965).

    Article  Google Scholar 

  76. M. Wagner, Vortrag gehalten auf dem International Symposium “Color Centers in Alkali Halides” (Rom 1968).

    Google Scholar 

  77. A. A. Maradudin, in Solid State Phys. 18 und 19 (Interscience Publ., New York 1966).

    Google Scholar 

  78. R. Smoluchowski, zusammenfassender Artikel erscheint in Solid State Phys.

    Google Scholar 

  79. M. Tanaka, T. Tokoro, Y. Aiyama, J. Phys. Soc. Japan 21, 262 (1966).

    Article  ADS  Google Scholar 

  80. E. M. Gyorgy, R. C. Le Crew, M. D. Sturge, J. Appl. Phys. 37, 1303 (1966). M. D. Sturge, J. T. Krause, E. M. Gyorgy, R. C. Le Craw, F. R. Merritt, Phys. Rev. 155, 218 (1967).

    Article  ADS  Google Scholar 

  81. E. D. Nelson, J. Y. Wong, A. L. Schawlow, Phys. Rev. 156, 298 (1967); J. Y. Wong, M. J. Berggren, A. L. Schawlow, in Optical Properties of Ions in Crystals, hrsg. von Crosswhite und Moose (1968).

    Article  ADS  Google Scholar 

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O. Madelung

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© 1969 Friedr. Vieweg + Sohn GmbH, Verlag

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Gebhardt, W. (1969). Der Jahn-Teller-Effekt. In: Madelung, O. (eds) Festkörperprobleme 9. Advances in Solid State Physics, vol 9. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0109153

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  • DOI: https://doi.org/10.1007/BFb0109153

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