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Local iron symmetry in quasicrystals

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Abstract

Iron sites in quasicrystalline Al(TFe)-alloys have been investigated with Mössbauer spectroscopy. The quadrupole splitting of these materials is about 0.4 mm/s, showing that the iron atom is not in an icosahedral\((m\bar 3\bar 5)\) site. A measurement in an external magnetic field ofH ext≈5 T yields the asymmetry parameter η=(V xx −V yy )/V zz . The value of η enables one to decide between the applicability of some mathematical structure models of quasicrystals.

The results are:

η=0.8 for decagonal Al7(Mn0.7Fe0.3)2

η=0.9 for icosahedral Al6Cr0.7Fe0.3

using an one site approximation. This means that the iron atoms are in sites with a symmetry lower than axially symmetry, which suits very well for a Penrose lattice.

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References

  1. P.J. Schurer, B. Koopmans and F. van der Woude, Phys. Rev. B37 (1988) 507.

    Article  ADS  Google Scholar 

  2. B. Koopmans, P.J. Schurer, F. van der Woude and P. Bronsveld, Phys. Rev. 35 (1987) 3005.

    Article  ADS  Google Scholar 

  3. For a review, see:The Physics of Quasicrystals, eds P.J. Steinhardt and S. Ostlund (World Scientific, Singapore, 1988).

    Google Scholar 

  4. V. Elser, Phys. Rev. B32 (1985) 4892.

    Article  ADS  Google Scholar 

  5. N. de Bruijn, J. de Physique 47 (1986) C3–9.

    Google Scholar 

  6. D. Levine and P.J. Steinhardt, Phys. Rev. B34 (1986) 596.

    Article  ADS  Google Scholar 

  7. J.E.S. Socolar and P.J. Steinhardt, Phys. Rev. B34 (1986) 617.

    Article  ADS  Google Scholar 

  8. Chr. Janot, J. Pannetier, J.M. Dubois and M. De Boissieu, Phys. Rev. Letters 62 (1989) 450.

    Article  ADS  Google Scholar 

  9. A.L. Mackay, Acta Crystallogr. 15 (1962) 916.

    Article  Google Scholar 

  10. A. Sadoc, A.M. Flank, P. Lagarde, P. Stainfort and P. Bellisent, J. de Phys. (Paris) 47 (1986) 873.

    Google Scholar 

  11. A. Sadoc, P. Lagarde and P. Sainfort, Int. J. of Modern Physics B1 (1987) 133.

    Article  ADS  Google Scholar 

  12. A. Sadoc, A.M. Flank, P. Lagarde and J.M. Dubois,ILL/CODEST Workshop on Quasicrystalline Materials, Grenoble, eds. C. Janot and J.M. Dubois, (World Scientific, Singapore, 1988) p. 148.

    Google Scholar 

  13. M. Audier and P. Guyot, Phil. Mag. B53 (1986) L43–51.

    Google Scholar 

  14. J.W. Cahn and D. Gratias, J. de Physique 47 (1986) C3-415–424.

    Google Scholar 

  15. C.L. Henley, J. of Non-Cryst. Sol. 75 (1985) 91.

    Article  Google Scholar 

  16. V. Elser and C.L. Henley, Phys. Rev. Lett. 55 (1985) 2883.

    Article  ADS  Google Scholar 

  17. See for instance N.N. Greenwood and T.C. Gibb,Mössbauer Spectroscopy (Chapman and Hall, London, 1971) p. 63.

    Google Scholar 

  18. G. le Caër, R.A. Brand and J.M. Dubois, Hyp. Int. 42 (1988) 943.

    Google Scholar 

  19. G. Czjzek, J. Fink, F. Götz, H. Schmidt, J.M.D. Coey, J.P. Rebouillat and A. Lienard, Phys. Rev. B23 (1981) 2513.

    Article  ADS  Google Scholar 

  20. J.M. Dubois, C. Janot and M. de Boissieu,ILL/CODEST Workshop on Quasicrystalline Materials, Grenoble eds. C. Janot and J.M. Dubois, (Word Scientific, Singapore, 1988), p. 97.

    Google Scholar 

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Werkman, R.D., Vincze, I., Schurer, P.J. et al. Local iron symmetry in quasicrystals. Hyperfine Interact 55, 1093–1097 (1990). https://doi.org/10.1007/BF02397129

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