Abstract
The lattice dynamics of quasicrystals includes local phason jumps as well as phonons. Phason dynamics is important for the understanding of both the structure and atomic motion in quasicrystals, leading to short-ranged atomic motion not involving vacancies in addition to diffusion. We have studied the phason and phonon dynamics of icosahedral i-Al62Cu25.5Fe12.5. Quasielastic Mössbauer spectroscopy (QMS) was used to probe the iron phason dynamics. Inelastic nuclear-resonant absorption (INA) of synchrotron radiation and inelastic neutron scattering (INS) were used to study the iron-partial as well as the total vibrational DOS (VDOS). We find from preliminary QMS studies that iron atoms jump on a time scale about two orders of magnitude slower than that found for copper. The EFG shows an abrupt change in slope at ca. 825 K which may be related to a transition from simple (isolated) to more complicated (co-operative) phason jumps. From INA we find that the iron-partial VDOS differs radically from that of the total (neutron-weighted) generalised VDOS measured by INS. Both these properties are related to the specific local environments of Fe and Cu in i-AlCuFe.
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References
D. Shechtman et al., Phys. Rev. Lett. 53 (1984) 1951.
P.A. Kalugin et al., J. Phys. Lett. (Paris) 46 (1985) L601.
D.M. Frenkel et al., Phys. Rev. B 34 (1986) 3649.
P.A. Kalugin and A. Katz, Europhys. Lett. 21 (1993) 921.
Y. Calvayrac et al., J. Phys. France 51 (1990) 417.
M. Cornier-Quiquandon et al., Phys. Rev. B 44 (1991) 2071; M. Quiquandon et al., J. Phys. Condens. Matter 8 (1996) 2487.
F. Moussa et al., Phys. Rev. B 36 (1987) 8951.
J. Roth and F. Gahler, European Phys. J. B 6 (1998) 425.
J. Dolinšek et al., Phys. Rev. Lett. 81 (1998) 3671.
G. Coddens et al., Phys. Rev. Lett. 78 (1997) 4209.
T. Springer, Quasielastic Neutron Scattering, Springer Tracts in Physics, Vol. 64 (Springer, Berlin, 1972); M. Bée, Quasielastic Neutron Scattering (Adam Hilger, Bristol, 1988).
G. Vogl, Hyp. Interact. 53 (1990) 197.
G. Coddens et al., J. Phys. I (France) 5 (1995) 771.
B. Sepiol and G. Vogl, Hyp. Interact. 59 (1995) 149.
Y. Yoshida, Hyp. Interact. 47 (1989) 95.
M. Quilichini and T. Janssen, Rev. Modern Phys. 69 (1997) 277.
T. Klein et al., J. Non-Cryst. Solids 153/154 (1993) 562.
A.I. Chumakov and R. Rüffer, Hyp. Interact. 113 (1998) 59.
R.A. Brand et al., J. Phys. Condens. Matter (1999) in press.
R.A. Brand et al., in: Mössbauer Spectroscopy in Materials Science, eds. M. Miglierini and D. Petridis (Kluwer Academic, Dordrecht, 1999) p. 299.
P. Jena, Phys. Rev. Lett. 36 (1976) 418; J. Christiansen et al., Z. Physik B 24 (1976) 177; K. Nishiyama et al., Phys. Rev. Lett. 37 (1976) 357.
R. Rüffer and A.I. Chumakov, Hyp. Interact. 97/98 (1996) 589.
R.A. Brand et al., Phys. Rev. B 59 (1999) R14145.
R.A. Brand and A.-J. Dianoux, to be published.
F.J. Litterst et al., Hyp. Interact. 14 (1983) 21.
D. Wolf, Philos. Mag. A 47 (1983) 147.
A. Katz and D. Gratias, in: Proc. of the 5th Internat. Conf. on Quasicrystals, eds. Ch. Janot and R. Mosseri (World Scientific, Singapore, 1995) p. 164.
D. Gratias et al., in: Proc. of the Spring School on Quasicrystals, Assouis (1999) in press.
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Brand, R., Voss, J. & Calvayrac, Y. Phonon- and phason-dynamics in Al–Cu–Fe quasicrystals. Hyperfine Interactions 126, 277–285 (2000). https://doi.org/10.1023/A:1012687132336
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DOI: https://doi.org/10.1023/A:1012687132336