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.
Similar content being viewed by others
References
P.J. Schurer, B. Koopmans and F. van der Woude, Phys. Rev. B37 (1988) 507.
B. Koopmans, P.J. Schurer, F. van der Woude and P. Bronsveld, Phys. Rev. 35 (1987) 3005.
For a review, see:The Physics of Quasicrystals, eds P.J. Steinhardt and S. Ostlund (World Scientific, Singapore, 1988).
V. Elser, Phys. Rev. B32 (1985) 4892.
N. de Bruijn, J. de Physique 47 (1986) C3–9.
D. Levine and P.J. Steinhardt, Phys. Rev. B34 (1986) 596.
J.E.S. Socolar and P.J. Steinhardt, Phys. Rev. B34 (1986) 617.
Chr. Janot, J. Pannetier, J.M. Dubois and M. De Boissieu, Phys. Rev. Letters 62 (1989) 450.
A.L. Mackay, Acta Crystallogr. 15 (1962) 916.
A. Sadoc, A.M. Flank, P. Lagarde, P. Stainfort and P. Bellisent, J. de Phys. (Paris) 47 (1986) 873.
A. Sadoc, P. Lagarde and P. Sainfort, Int. J. of Modern Physics B1 (1987) 133.
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.
M. Audier and P. Guyot, Phil. Mag. B53 (1986) L43–51.
J.W. Cahn and D. Gratias, J. de Physique 47 (1986) C3-415–424.
C.L. Henley, J. of Non-Cryst. Sol. 75 (1985) 91.
V. Elser and C.L. Henley, Phys. Rev. Lett. 55 (1985) 2883.
See for instance N.N. Greenwood and T.C. Gibb,Mössbauer Spectroscopy (Chapman and Hall, London, 1971) p. 63.
G. le Caër, R.A. Brand and J.M. Dubois, Hyp. Int. 42 (1988) 943.
G. Czjzek, J. Fink, F. Götz, H. Schmidt, J.M.D. Coey, J.P. Rebouillat and A. Lienard, Phys. Rev. B23 (1981) 2513.
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.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1007/BF02397129