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A review of two decades of the analysis of hyperfine parameter distributions in Mössbauer spectroscopy: Difficulties, progress and prospects

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Abstract

We present a review of the most used methods used to obtain hyperfine parameter distributions and discuss the mathematical problems. The Czjzek model and extensions for an EFG distribution in random systems is critically reviewed

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References

  1. F. Varret, A. Gérard and P. Imbert, Phys. Stat. Sol (b) 43 (1971) 723.

    Google Scholar 

  2. B. Window, J. Phys. E: Sci. Instr. 4 (1971) 401.

    Article  ADS  Google Scholar 

  3. J. Hesse and A. Rübartsch, J. Phys. E 7 (1974) 526.

    Article  ADS  Google Scholar 

  4. S. J. Campbell and F. Aubertin inMössbauer Spectroscopy Applied to Inorganic Chemistry Ed.: G. Long (Plenum Press 1988) Vol. 3.

  5. G. Le Caër, J. M. Dubois, H. Fisher, U. Gonser and H. G. Wagner, Nucl. Instr. and Methods B 5 (1984) 25.

    Article  ADS  Google Scholar 

  6. A. Tikhonov and V. Aresnine,Méthods de résolution des problèmes mal posés (Mir, Moscow 1976).

    Google Scholar 

  7. R. A. Brand and G. Le Caër, Nucl. Instr. and Methods B 34 (1988) 272.

    Article  ADS  Google Scholar 

  8. G. Czjzek, J. Fink, F. Götz, H. Schmidt, J. M. D. Coey, J. P. Rebouillat and A. Lienard, Phys. Rev. B 23 (1981) 2513.

    Article  ADS  Google Scholar 

  9. P. Levitz, D. Bonnin, G. Calas and A. P. Legrand, J. Phys. E 13 (1980) 427.

    Article  ADS  Google Scholar 

  10. I. Vincze, Solid State Commun. 5 (1978) 689.

    Article  Google Scholar 

  11. D. G. Raincourt and J. Y. Ping, Nucl Instr. and Methods B 58 (1991) 85.

    Article  ADS  Google Scholar 

  12. G. Le Caër, R. A. Brand and K. Dehghan J. de Physique, Colloque C8, 46 (1985) C8–169.

    Google Scholar 

  13. G. Le Caër and J. M. Dubois, Key Engineering Materials 13–15 (1987) 555.

    Google Scholar 

  14. N. Ullah and C. E. Porter, Phys. Lett. 6 (1963) 301.

    Article  ADS  MathSciNet  Google Scholar 

  15. N. Ullah, Nuclear Physics 58 (1964) 65.

    Article  MathSciNet  Google Scholar 

  16. G. Le Caër, J. M. Dubois and R. A. Brand,Amorphous Metals and Nonequilibrium Processing, M. von Allmen Ed. (Les Editions de Physique 1984) 249.

  17. R. A. Brand, G. Le Caër, J. M. Dubois, J. Phys. Condens. Matter, 2 (1990) 6413.

    Article  ADS  Google Scholar 

  18. H. Cramer,Mathematical Methods of Statistics (Princeton University Press, 12th Edition 1971) and J. R. Barra,Mathematical Basis of Statistics, (Academic Press, 1981) Chapter 7.

  19. H. M. Petrilli and S. Frota-Pessôa, J. Phys. Condens. Matter 2 (1990) 135.

    Article  ADS  Google Scholar 

  20. G. Czjzek, Phys. Rev. B 25 (1982) 4908.

    Article  ADS  Google Scholar 

  21. P. H. Gaskell, M. C. Eckersley, A. C. Barnes and P. Chieux, Nature 350 (1991) 675.

    Article  ADS  Google Scholar 

  22. J. M. Dubois, P. H. Gaskell and G. Le Caër, Proc. Roy. Soc. A 402 (1985) 323.

    ADS  Google Scholar 

  23. F. Varret and M. Henry, Rev. Phys. Appl. 15 (1980) 1057.

    Google Scholar 

  24. E. Lukacs,Characteristic Functions (Griffin, London, 2nd Edition) 1970

    Google Scholar 

  25. W. Feller,An Introduction to Probability Theory and Its Applications (Wiley, New York, 1957) Vol. II.

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Science et Génie des Matériaux Métalliques, Ecole des Mines, F-54042, Nancy Cedex, France

    G. Le Caër

  2. Laboratorium für Angewandte Physik, Universität Duisburg, D-4100, Duisburg 1, Germany

    R. A. Brand

Authors
  1. G. Le Caër
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  2. R. A. Brand
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Le Caër, G., Brand, R.A. A review of two decades of the analysis of hyperfine parameter distributions in Mössbauer spectroscopy: Difficulties, progress and prospects. Hyperfine Interact 71, 1507–1514 (1992). https://doi.org/10.1007/BF02397369

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