The acoustic phonon spectrum of penrose tilings
✍ Scribed by M. Klenin
- Book ID
- 112513266
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 569 KB
- Volume
- 65
- Category
- Article
- ISSN
- 1434-6036
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In 1984 Shechtman et al. [lo] discovered alloys with a novel kind of structure, intermediate between crystalline and amorphous. These alloys, called qruzskrystuk [8], exhibit long-range orientational order but no translational symmetry. Since fivefold and even icosahedral symmetry is observed, seve
## Abstract The acoustical asymptotics of the spectral distribution of the vibrations of separate atoms in dependence on their positions in the crystal are considered for the cases of a semispace and a plane‐parallel plate of arbitrary thickness. The general solution of the problem is obtained in t