Continuum elastic sphere vibrations as a model for low-lying optical modes in icosahedral quasicrystals

Details Continuum elastic sphere vibrations as a model for low-lying optical modes in icosahedral quasicrystals Continuum elastic sphere vibrations as a model for low-lying optical modes in icosahedral quasicrystals

2004-05-27

arxiv.org/abs/cond-mat/0405649v2

J. Phys.: Condens. Matter 17 (2005) 3559-3565

Physics

Condensed Matter

Materials Science

9 pages without figures

Scientific paper

10.1088/0953-8984/17/23/008

The nearly dispersionless, so-called "optical" vibrational modes observed by inelastic neutron scattering from icosahedral Al-Pd-Mn and Zn-Mg-Y quasicrystals are found to correspond well to modes of a continuum elastic sphere that has the same diameter as the corresponding icosahedral basic units of the quasicrystal. When the sphere is considered as free, most of the experimentally found modes can be accounted for, in both systems. Taking into account the mechanical connection between the clusters and the remainder of the quasicrystal allows a complete assignment of all optical modes in the case of Al-Pd-Mn. This approach provides support to the relevance of clusters in the vibrational properties of quasicrystals.

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