Lattice dynamics of the Zn-Mg-Sc icosahedral quasicrystal and its Zn-Sc periodic 1/1 approximant

Marc De Boissieu, Sonia Francoual, Marek Mihalkovič, Kaoru Shibata, Alfred Q.R. Baron, Yvan Sidis, Tsutomu Ishimasa, Dongmei Wu, Thomas Lograsso, Louis Pierre Regnault, Franz Gähler, Satoshi Tsutsui, Bernard Hennion, Pierre Bastie, Taku J. Sato, Hiroyuki Takakura, Roland Currat, An Pang Tsai

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43 Citations (Scopus)


Quasicrystals are long-range-ordered materials that lack translational invariance, so the study of their physical properties remains a challenging problem. Here, we have carried out inelastic-X-ray- and neutron-scattering experiments on single-grain samples of the Zn-Mg-Sc icosahedral quasicrystal and of the Zn-Sc periodic cubic 1/1 approximant, with the aim of studying the respective influence of the local order and of the long-range order (periodic or quasiperiodic) on lattice dynamics. Besides the overall similarities and the existence of a pseudo-gap in the transverse dispersion relation, marked differences are observed, the pseudo-gap being larger and better defined in the approximant than in the quasicrystal. This can be qualitatively explained using the concept of a pseudo-Brillouin-zone in the quasicrystal. These results are compared with simulations on atomic models and using oscillating pair potentials, and the simulations reproduce in detail the experimental results. This paves the way for a detailed understanding of the physics ofquasicrystals.

Original languageEnglish
Pages (from-to)977-984
Number of pages8
JournalNature Materials
Issue number12
Publication statusPublished - 2007 Dec


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