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Interpretation and Applications of Mössbauer Fraction Experiments

  • Rudi H. Nussbaum

Abstract

The Mössbauer fraction of gamma rays emitted or absorbed by a nucleus bound in a crystal, without a change in the quantum state of the lattice, is given by [1, 2]
$$f = [\left| {\langle i} \right|{e^{ik \cdot r}}{\left| {i > } \right|^2}]T$$
(1)
a thermal average over initial lattice states <il, where k is the wave vector of the emitted gamma ray (\(\left| K \right| = k = 2\pi /\lambda = {\mathchar'26\mkern-10mu\lambda ^{ - 1}};\lambda \) is the gamma-ray wavelength) and r is the position vector of the radiating nucleus.

Keywords

Localize Mode Impurity Atom Debye Temperature Debye Model English Trans 
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References

  1. 1.
    H. Frauenfelder, The Mössbauer Effect (W. A. Benjamin, New York, 1962 ).Google Scholar
  2. 2.
    A. J. F. Boyle and H. E. Hall, Rept. Progr. Phys. 25: 441 (1962).CrossRefGoogle Scholar
  3. 3.
    H. J. Lipkin, Ann. Phys. (N.Y.) 23:28 (1963); ibid. 26: 115 (1964).Google Scholar
  4. 4.
    A. H. Maradudin and P. A. Flinn, Phys. Rev. 129: 2529 (1963).CrossRefGoogle Scholar
  5. 5.
    M. Lax and I. Waller, Phys. Rev. 138: A523 (1965).CrossRefGoogle Scholar
  6. 6.
    M. A. Krivoglaz, Zh. Eksperim. i Teor. Fi.. 46:637 (1964) [Soviet PhysJETP (English Transl.) 19:432 (1964)].Google Scholar
  7. 7.
    H. B. Huntington in Solid State Physics, edited by F. Seitz and D. Turnbull ( Academic Press Inc., New York, 1958 ).Google Scholar
  8. 8.
    J. de Launay in ibid.,Vol. 2 (1956), p. 220.Google Scholar
  9. 9.
    M. Blackman, in Encyclopedia of Physics, Vol. 711, by S. Flügge (Springer Verlag, Berlin, 1955 ), p. 325.Google Scholar
  10. 10.
    L. S. Kothari and K. S. Singwi, in Solid State Physics, Vol. 8 (1959), p. 110.Google Scholar
  11. 11.
    G. W. Lehman and R. E. DeWames, Phys. Rev. 131: 1008 (1963).CrossRefGoogle Scholar
  12. 12.
    R. E. DeWames, T. Wolfram, and G. W. Lehman, Phys. Rev. 138: A717 (1965).CrossRefGoogle Scholar
  13. 13.
    W. A. Steyert and R. D. Taylor, Phys. Rev. 134: A716 (1964).CrossRefGoogle Scholar
  14. 14.
    R. M. Housley, J. G. Dash, and R. H. Nussbaum, Phys. Rev 136: A464 (1964)CrossRefGoogle Scholar
  15. 15.
    P. G. Dawber and R. J. Elliott, Proc. Roy. Soc. (London) A273: 222 (1963).Google Scholar
  16. 16.
    Yu Kagan and Ya. A. Iosilevskii, Zh. Eksperim. i Teor. Fiz. 46:2165 (1964) [Soviet Phys. JETP (English Transl.) 19:1462 (1964)].Google Scholar
  17. 17.
    I. P. Dzyub and A. F. Lubchenko, Dokl. Akad. Nauk. SSSR 147: 584 (1962) [Soviet Phys. “Doklady” (English Transi.) 7:1027 (1963)].Google Scholar
  18. 18.
    A. A. Maradudin and P. A. Flinn, Phys. 126: 2059 (1962).Google Scholar
  19. 19.
    J. P. Schiffer, P. N. Parks, and J. Heberle. Phys. Rev. 133: A1533 (1964).CrossRefGoogle Scholar
  20. 20.
    J. R. Harris, N. Benczer-Koller, and G. M. Rothberg, Phys. Rev. 137: A1101 (1965).CrossRefGoogle Scholar
  21. 21.
    C. Hohenemser, Phys. Rev. 139: A185 (1965).CrossRefGoogle Scholar
  22. 22.
    L. Salter, Advan. Phys. 14: 1 (1965).CrossRefGoogle Scholar
  23. 23.
    J. L. Feldman and G. K. Horton, Phys. Rev. 132:644 (1963); Phys. Rev. 137: A1106 (1965).CrossRefGoogle Scholar
  24. 24.
    C. J. Meecham and A. H. Muir, Jr., Rev. Mod. Phys. 36: 438 (1964).Google Scholar
  25. 25.
    V. G. Shapiro and V. S. Shpinell, Zh. Eksperim. i Teor. Fiz. 46:1960 (1964) [Soviet Phys. JETP (English Transi.) 19:1321 (1964)].Google Scholar
  26. 26.
    N. E. Alekseevskii, A. P. Kir’yanov, V. I. Nizhankovskii, and Yu. A. Samarskii, Zh. Eksperim. i Teor. Fiz. Pis. Redakt. 2:269 (1965) [Soviet Phys. JETP Letters (English Transi.) 2:171 (1965)].Google Scholar
  27. 27.
    R. M. Housley, private communication.Google Scholar
  28. 28.
    C. Tzara and R. Barloutard, Phys. Rev. Letters 4: 405 (1960).CrossRefGoogle Scholar
  29. 29.
    J. K. Major, in Mössbauer Effect Methodology, Vol. 1 (edited by Irwin J. Gruverman) (Plenum Press, New York, 1965 ), p. 98.Google Scholar
  30. 30.
    W. R. Owens and J. K. Major, Bull. Am. Phys. Soc. 10: 1203 (1965).Google Scholar
  31. 31.
    G. K. Wertheim, Mössbauer Effect ( Academic Press, New York, 1964 ).Google Scholar
  32. 32.
    E. W. Montroll and R. B. Potts, Phys. Rev. 100: 525 (1955).CrossRefGoogle Scholar
  33. 33.
    R. Brout and W. M. Visscher, Phys. Rev. Letters 9: 54 (1962).CrossRefGoogle Scholar
  34. 34.
    Yu. M. Kagan and Ya. A. Iosilevskii,Zh. Eksperim. i Teor. Fiz. 42:259 (1962) [Soviet Phys. JETP (English Transi.) 15:182 (1962)].Google Scholar
  35. 35.
    I. Waller, Arkiv Fysik 24: 495 (1962).Google Scholar
  36. 36.
    S. Takeno, Progr. Theoret. Phys. (Kyoto) 29: 191 (1963).CrossRefGoogle Scholar
  37. 37.
    W. M. Visscher, Phys. Rev. 129: 28 (1963).CrossRefGoogle Scholar
  38. 38.
    G. Schaefer, J. Phys. Chem. Solids 12: 233 (1960).CrossRefGoogle Scholar
  39. 39.
    A. J. Sievers and S. Takeno, Phys. Rev. 140: A1030 (1965).CrossRefGoogle Scholar
  40. 40.
    Y. Kazumata, K. Ozawa, and M. Nakagawa, Phys. Letters 19: 529 (1965).CrossRefGoogle Scholar
  41. 41.
    A. H. Muir. Tables and Graphs for Computing Debye-Waller Factors in Mössbauer Effect Studies, Atomics International Doc. AI-6699 (1962).Google Scholar
  42. 42.
    Y. Hazoni, P. Hillman, M. Pasternack, and S. Ruby, Phys. Letters 2: 337 (1962).CrossRefGoogle Scholar
  43. 43.
    W. A. Steyert and P. P. Craig, Phys. Letters 2: 165 (1962).CrossRefGoogle Scholar
  44. 44.
    G. Orwell, Animal Farm (Martin Secker and Warburg, Ltd., London, 1945 ).Google Scholar
  45. 45.
    R. M. Housley and F. Hess, Phys. Rev. 146: 517 (1966).CrossRefGoogle Scholar
  46. 46.
    W. M. Visscher, Phys. Rev. 134: A965 (1964).CrossRefGoogle Scholar
  47. 47.
    R. M. Housley and R. H. Nussbaum, Phys. Rev. 138: A753 (1965).CrossRefGoogle Scholar
  48. 48.
    W. Kundig, K. Ando, and H. Bommel, Phys. Rev. 139: A889 (1965).CrossRefGoogle Scholar
  49. 49.
    H. Pollak, M. de Coster, and L. Mevissen, Rev. Mod. Phys. 36: 440 (1964).Google Scholar
  50. 50.
    D. P. Johnson and J. G. Dash, private communication.Google Scholar
  51. 51.
    J. W. Burton, H. Frauenfelder, and R. P. Goodwin, Proc. Vienna Conf on the Mössbauer Effect,1965, to be published.Google Scholar
  52. 52.
    R. V. Hanks, Phys. Rev. 124: 1319 (1961).CrossRefGoogle Scholar
  53. 53.
    J. A. Stone, Bull. Am. Phys. Soc. 8:351 (1963); report UCRL 10630 (Univ. Cal. Rad. Lab., 1963 ).Google Scholar
  54. 54.
    V. N. Panyushkin and F. F. Voronov, Zh. Eksperim. i Teor. Fiz. Pis. Redakt. 2:153 (1965) [Soviet Phys. JETP Letters (English Transi) 2:97 (1965)].Google Scholar
  55. 55.
    P. Debrunner and R. J. Morrison, Rev. Sci. Instr. 36: 145 (1965);CrossRefGoogle Scholar
  56. P. Debrunner, in Mössbauer Effect Methodology, Vol. 1, p. 97.Google Scholar
  57. 56.
    R. Ingalls and G. de Pasquali, Phys. Letters 15: 262 (1965).CrossRefGoogle Scholar
  58. 57.
    V. Gonser and H. Wiedersich, J. Phys. Soc. Japan 18 (Suppl. II): 47 (1963).Google Scholar
  59. 58.
    J. G. Dash, in Mössbauer Effect Methodology, Vol. 1, p. 107;Google Scholar
  60. R. M. Housley, N. E. Erickson, and J. G. Dash, Nucl. Inst. Methods 27: 29 (1964);CrossRefGoogle Scholar
  61. R. M. Housley, Nucl. Inst. Methods, 35: 77 (1965).CrossRefGoogle Scholar
  62. 59.
    P. P. Craig, O. C. Kistner, B. Mozer, and R. Segnan, Rev. Mod. Phys. 36: 361 (1964).Google Scholar
  63. 60.
    D. W. Hafemeister and E. Brooks Shera, Phys. Rev. Letters 14: 593 (1965).CrossRefGoogle Scholar
  64. 61.
    S. L. Ruby and R. E. Holland, Phys. Rev. Letters 14: 591 (1965).CrossRefGoogle Scholar
  65. 62.
    R. H. Nussbaum and J. G. Dash, Bull. Am. Phys. Soc. 11: 49 (1966);Google Scholar
  66. J. G. Dash and R. H. Nussbaum, Phys. Rev. Letters 16:567 (1966) and Proceedings of the 14th Colloque Ampère on Nuclear Resonance and Relaxation, Ljubljana, Sept. 1966 (to be published).Google Scholar
  67. 63.
    A. A. Maradudin, Rev. Mod. Phys. 36: 417 (1964).CrossRefGoogle Scholar
  68. 64.
    E. Stern, private communication.Google Scholar

Copyright information

© Springer Science+Business Media New York 1966

Authors and Affiliations

  • Rudi H. Nussbaum
    • 1
    • 2
  1. 1.Portland State CollegePortlandUSA
  2. 2.Physics DepartmentUniversity of WashingtonSeattleUSA

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