All JournalsPhysics Magazine

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Jahn-Teller Effects in the Far-Infrared, EPR, and Mössbauer Spectra of MgO: Fe2+

Frank S. Ham and W. M. Schwarz*

Mary C. M. O'Brien

  • General Electric Research and Development Center, Schenectady, New York 12301

  • Department of Theoretical Physics, Oxford University, Oxford, England

  • *Permanent address: Physics Department, Union College, Schenectady, New York.
  • Consultant at the GE Research and Development Center during the summer of 1968.

Phys. Rev. 185, 548 – Published 10 September, 1969

DOI: https://doi.org/10.1103/PhysRev.185.548

Abstract

Measurements by Wong of the far-infrared absorption spectrum of the Fe2+ ion at undistorted cubic sites in MgO have revealed that the first excited spin-orbit level (evidently comprising both the Γ3g and Γ4g states) lies 105 cm1 above the Γ5g ground state, in contrast to the value ∼200 cm1 predicted by crystal-field theory. A calculation has been made to determine if this reduced spin-orbit splitting can reasonably be attributed to a dynamic Jahn-Teller effect without leading to inconsistencies with other EPR and Mössbauer data for MgO: Fe2+. It is concluded that this reduction is indeed predominantly the result of the Jahn-Teller coupling, that this reduction is consistent with the strength of Jahn-Teller coupling indicated by strain data for the Γ5g level, and that significant Jahn-Teller corrections occur also in other parameters which characterize the EPR and Mössbauer spectra, such as the g factor, hyperfine field, and nuclear quadrupole coupling coefficients of the Γ5g level. These Jahn-Teller corrections are calculated using the strength of the Jahn-Teller coupling to both Eg and T2g vibrational modes as parameters, which are adjusted to give the observed spin-orbit reduction, and the resulting values are compared with estimates of corrections resulting from covalency. The calculations are carried out by treating the Jahn-Teller interaction by perturbation methods, and the calculation is formulated both for coupling with discrete vibrational modes and also for coupling with the continuum of lattice phonons.

References (68)

  1. W. Low and M. Weger, Phys. Rev. 118, 1119, 1130 (1960) ibid.120, 2277 (1960)
  2. J. Y. Wong, Phys. Rev. 168, 337 (1968)
  3. J. Owen, Proc. Roy. Soc. (London) A227, 183 (1955)
  4. F. S. Ham, Phys. Rev. 160, 328 (1967)
  5. D. N. Pipkorn and H. R. Leider, Bull. Am. Phys. Soc. 11, 49 (1966)
  6. R. Orbach, Proc. Roy. Soc. (London) A264, 458 (1961)
  7. E. L. Wilkinson, R. L. Hartman, and J. G. Castle, Jr., Phys. Rev. 171, 299 (1968)
  8. R. G. Leisure and D. I. Bolef, Phys. Rev. Letters 19, 957 (1967)
  9. H. R. Leider and D. N. Pipkorn, Phys. Rev. 165, 494 (1968)
  10. F. S. Ham, Phys. Rev. 138, A1727 (1965)
  11. 1969: F. S. Ham, in Electron Paramagnetic Resonance, edited by S. Geschwind (Plenum Press, New York)
  12. D. H. McMahon, Phys. Rev. 134, A128 (1964)
  13. G. Peckham, Proc. Phys. Soc. (London) 90, 657 (1967)
  14. N. G. Koloskova and B. I. Kochelaev, Fiz. Tverd. Tela 9, 2948 (1967) [English transl: Soviet Phys.—Solid State 9, 2317 (1968)]
  15. [R. S. Mulliken, Phys. Rev. 43, 279 (1933)] [H. A. Bethe, Ann. Physik 3, 133 (1929)]
  16. G. D. Jones, Phys. Rev. 155, 259 (1967)
  17. J. Kanamori, Progr. Theoret. Phys. (Kyoto) 17, 177 (1957)
  18. Omitted endnote

  19. A. Abragam and M. H. L. Pryce, Proc. Roy. Soc. (London) A205, 135 (1951)
  20. G. A. Slack, F. S. Ham, and R. M. Chrenko, Phys. Rev. 152, 376 (1966)
  21. Omitted endnote

  22. J. H. Van Vleck, J. Chem. Phys. 7, 72 (1939)
  23. U. Opik and M. H. L. Pryce, Proc. Roy. Soc. (London) A238, 425 (1957)
  24. G. F. Koster, J. O. Dimmock, R. G. Wheeler, and H. Statz, Properties of the Thirty-Two Point Groups (Technology Press, Cambridge, Massachusetts, 1963)
  25. Omitted endnote

  26. Omitted endnote

  27. Omitted endnote

  28. K. W. H. Stevens, Proc. Roy. Soc. (London) A219, 542 (1953)
  29. Omitted endnote

  30. Omitted endnote

  31. J. Owen and J. H. M. Thornley, Rept. Progr. Phys. 29, 675 (1966)
  32. T. P. P. Hall, W. Hayes, R. W. H. Stevenson, and J. Wilkens, J. Chem. Phys. 39, 35 (1963)
  33. A. J. Freeman and R. E. Watson, Phys. Rev. 131, 2566 (1963)
  34. A. J. Freeman and R. E. Watson, in Magnetism, edited by G. T. Rado and H. Suhl (Academic Press Inc., New York, 1965), Vol. II A, p. 167
  35. J. Chappert, R. B. Frankel, and N. A. Blum, Phys. Letters 25A, 149 (1967) J. Chappert, R. B. Frankel, A. Misetich, and N. A. Blum, Phys. Rev. 179, 578 (1969)
  36. P. R. Locher and S. Geschwind, Phys. Rev. 139, A991 (1965)
  37. E. R. Feher, Phys. Rev. 136, A145 (1964)
  38. A. J. Freeman and R. E. Watson, Phys. Rev. 123, 2027 (1961)
  39. S. Geschwind, in Hyperfine Interactions, edited by A. J. Freeman and R. B. Frankel (Academic Press Inc., New York, 1967), p. 225
  40. Chappert et al. [35]
  41. J. D. Siegwarth, Phys. Rev. 155, 285 (1967) G. K. Wertheim. H. J. Guggenheim, H. J. Williams, and D. N. E. Buchanan, 158, 446 (1967) U. Ganiel, M. Kestigian, and S. Shtrikman, Phys. Letters 24A, 577 (1967) M. Eibschutz, S. Shtrikman, and Y. Tenenbaum, 24A, 563 (1967) U. Ganiel and S. Shtrikman, Phys. Rev. 167, 258 (1968) G. R. Hoy and K. P. Singh, 172, 514 (1968)
  42. Omitted endnote

  43. R. B. Frankel and N. A. Blum, Bull. Am. Phys. Soc. 12, 24 (1967)
  44. Omitted endnote

  45. R. Ingalls, Phys. Rev. 128, 1155 (1962)
  46. R. Ingalls, Phys. Rev. 133, A787 (1964)
  47. A. J. Nozik and M. Kaplan, Phys. Rev. 159, 273 (1967)
  48. C. E. Johnson, Proc. Phys. Soc. (London) 92, 748 (1967)
  49. J. O. Artman, A. H. Muir, and H. Wiedersich, Phys. Rev. 173, 337 (1968)
  50. M. D. Sturge, in Solid State Physics, edited by F. Seitz, D. Turnbull, and H. Ehrenreich (Academic Press Inc., New York 1967), Vol. 20, p. 91
  51. F. S. Ham, Phys. Rev. 166, 307 (1968) (Appendix II)
  52. G. D. Watkins and E. Feher, Bull. Am. Phys. Soc. 7, 29 (1962)
  53. Omitted endnote

  54. G. A. Slack, S. Roberts, and F. S. Ham, Phys. Rev. 155, 170 (1967)
  55. Omitted endnote

  56. Omitted endnote

  57. J. H. Van Vleck, Discussions Faraday Soc. 26, 96 (1958) Physica 26, 544 (1960)
  58. A. D. Liehr, Bell. Syst. Tech. J. 39, 1617 (1960)
  59. D. H. McMahon and R. H. Silsbee, Phys. Rev. 135, A91 (1964)
  60. M. C. M. O'Brien, Proc. Phys. Soc. (London) 86, 847 (1965)
  61. A. J. Shuskus, J. Chem. Phys. 40, 1602 (1964)
  62. M. Inoue, Phys. Rev. Letters 11, 196 (1963)
  63. R. J. Birgeneau, Phys. Rev. Letters 19, 160 (1967)
  64. H. Kamimura and S. Mizuhashi, J. Appl. Phys. 39, 684 (1968)
  65. J. K. Wigmore, H. M. Rosenberg, and D. K. Garrod, J. Appl. Phys. 39, 682 (1968)
  66. A. A. Maradudin, E. W. Montroll, and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation (Academic Press Inc., New York, 1963)
  67. Chap. 2 of [67]
  68. Omitted endnote

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation