Hyperfine Interactions

, Volume 55, Issue 1–4, pp 1093–1097 | Cite as

Local iron symmetry in quasicrystals

  • R. D. Werkman
  • I. Vincze
  • P. J. Schurer
  • F. van der Woude
Non-crystalline Materials


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 ofHext≈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.


Iron Spectroscopy Magnetic Field Thin Film External Magnetic Field 
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  1. [1]
    P.J. Schurer, B. Koopmans and F. van der Woude, Phys. Rev. B37 (1988) 507.CrossRefADSGoogle Scholar
  2. [2]
    B. Koopmans, P.J. Schurer, F. van der Woude and P. Bronsveld, Phys. Rev. 35 (1987) 3005.CrossRefADSGoogle Scholar
  3. [3]
    For a review, see:The Physics of Quasicrystals, eds P.J. Steinhardt and S. Ostlund (World Scientific, Singapore, 1988).Google Scholar
  4. [4]
    V. Elser, Phys. Rev. B32 (1985) 4892.CrossRefADSGoogle Scholar
  5. [5]
    N. de Bruijn, J. de Physique 47 (1986) C3–9.Google Scholar
  6. [6]
    D. Levine and P.J. Steinhardt, Phys. Rev. B34 (1986) 596.CrossRefADSGoogle Scholar
  7. [7]
    J.E.S. Socolar and P.J. Steinhardt, Phys. Rev. B34 (1986) 617.CrossRefADSGoogle Scholar
  8. [8]
    Chr. Janot, J. Pannetier, J.M. Dubois and M. De Boissieu, Phys. Rev. Letters 62 (1989) 450.CrossRefADSGoogle Scholar
  9. [9]
    A.L. Mackay, Acta Crystallogr. 15 (1962) 916.CrossRefGoogle Scholar
  10. [10]
    A. Sadoc, A.M. Flank, P. Lagarde, P. Stainfort and P. Bellisent, J. de Phys. (Paris) 47 (1986) 873.Google Scholar
  11. [11]
    A. Sadoc, P. Lagarde and P. Sainfort, Int. J. of Modern Physics B1 (1987) 133.CrossRefADSGoogle Scholar
  12. [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. [13]
    M. Audier and P. Guyot, Phil. Mag. B53 (1986) L43–51.Google Scholar
  14. [14]
    J.W. Cahn and D. Gratias, J. de Physique 47 (1986) C3-415–424.Google Scholar
  15. [15]
    C.L. Henley, J. of Non-Cryst. Sol. 75 (1985) 91.CrossRefGoogle Scholar
  16. [16]
    V. Elser and C.L. Henley, Phys. Rev. Lett. 55 (1985) 2883.CrossRefADSGoogle Scholar
  17. [17]
    See for instance N.N. Greenwood and T.C. Gibb,Mössbauer Spectroscopy (Chapman and Hall, London, 1971) p. 63.Google Scholar
  18. [18]
    G. le Caër, R.A. Brand and J.M. Dubois, Hyp. Int. 42 (1988) 943.Google Scholar
  19. [19]
    G. Czjzek, J. Fink, F. Götz, H. Schmidt, J.M.D. Coey, J.P. Rebouillat and A. Lienard, Phys. Rev. B23 (1981) 2513.CrossRefADSGoogle Scholar
  20. [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

Copyright information

© J.C. Baltzer A.G. Scientific Publishing Company 1990

Authors and Affiliations

  • R. D. Werkman
    • 1
  • I. Vincze
    • 1
  • P. J. Schurer
    • 1
  • F. van der Woude
    • 1
  1. 1.Solid State Physics LaboratoryMaterials Science Centre University of GroningenGroningenThe Netherlands

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