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The Debye Integrals, the Thermal Shift and the Mossbauer Fraction

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Mössbauer Effect Methodology

Abstract

If a Debye spectrum is assumed for the frequencies of lattice vibrations, the theoretical expressions for the Mössbauer fraction and for the thermal shift contain Debye integrals. It is shown how these integrals can be evaluated easily by means of infinite series. Only a few terms of these series provide adequate accuracy. A short numerical table is presented.

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References

  1. R. V. Pound and G. A. Rebka, Jr., Phys. Rev. Letters 4: 274 (1960).

    Article  CAS  Google Scholar 

  2. B. D. Josephson, Phys. Rev. Letters 4: 341 (1960).

    Article  CAS  Google Scholar 

  3. R. L. Mössbauer and W. H. Wiedemann, Z. Physik, 159: 33 (1960).

    Article  Google Scholar 

  4. B. Kaufman and H. J. Lipkin, Ann. Phys. (N.Y.) 18: 294 ( 1962).

    Google Scholar 

  5. C. Tzara and R. Barlatoud, Phys. Rev. Letters 4: 405 (1960).

    Article  CAS  Google Scholar 

  6. K. A. Hardy, F. T. Parker and J. C. Walker, Nucl. Instr. Meth. 86: 171(1970).

    Google Scholar 

  7. K. Knopp, Theorie und Anwendung der unendlichen Reihen, 5th edition (Springer-Verlag, Heidelberg, 1964).

    Book  Google Scholar 

  8. K. Knopp, Theory and Application of Infinite Series, (Blackie and Son, Ltd., London, 1951).

    Google Scholar 

  9. Handbook of Mathematical Functions, edited by M. Abramowitz and I.A. Stegun (Dover, New York, 1965).

    Google Scholar 

  10. Fundamental Formulas of Physics, edited by D. H. Menzel, (Dover, New York, 1960).

    Google Scholar 

  11. A. H. Muir, Jr., “Tables and Graphs for Computing Debye-Waller Factors in Mössbauer Effect Studies”, Report AI-6699, Atomics International, Canoga Park, 1962.

    Google Scholar 

  12. C. Herring in vol. 2 of Ref. 10 on p. 604.

    Google Scholar 

  13. I. Stegun in Ref. 9 on p. 998.

    Google Scholar 

  14. R. V. Pound and G. A. Rebka, Jr., Phys. Rev. Letters 3: 439 (1959).

    Article  CAS  Google Scholar 

  15. J. P. Schiffer, P. N. Parks and J. Heberle, Phys. Rev. 133: A1553(1964).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, State University of New York at Buffalo, Buffalo, New York, 14214, USA

    Juergen Heberle

Authors
  1. Juergen Heberle
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Editor information

Editors and Affiliations

  1. Nuclides and Sources Division, New England Nuclear Corporation, Billerica, Massachusetts, USA

    Irwin J. Gruverman (Manager) (Manager)

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© 1971 Springer Science+Business Media New York

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Heberle, J. (1971). The Debye Integrals, the Thermal Shift and the Mossbauer Fraction. In: Gruverman, I.J. (eds) Mössbauer Effect Methodology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9002-6_15

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  • DOI: https://doi.org/10.1007/978-1-4615-9002-6_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-9004-0

  • Online ISBN: 978-1-4615-9002-6

  • eBook Packages: Springer Book Archive

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