CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
|
|
|
|
Covering Rules and Nearest Neighbour Configurations of the Dodecagonal Quasiperiodic Structure |
FU Hong, LIAO Long-Guang, FU Xiu-Jun |
Department of Physics, South China University of Technology, Guangzhou 510640 |
|
Cite this article: |
FU Hong, LIAO Long-Guang, FU Xiu-Jun 2009 Chin. Phys. Lett. 26 056103 |
|
|
Abstract A dodecagonal quasiperiodic structure can be generated by cluster covering and the quasilattice is described in terms of the quasi-unit cell. We study the structural properties of the two-dimensional dodecagonal quasilattice in the covering scheme. The pair covering rules and the nearest neighbour configurations are determined. It is shown that the dodecagonal structure is more complicated than those of decagonal and octagonal quasilattices.
|
Keywords:
61.44.Br
|
|
Received: 12 February 2009
Published: 23 April 2009
|
|
|
|
|
|
[1] Shechtman D S, Blech I, Gratias D and Cahn J W 1984 Phys. Rev. Lett. 53 1951 [2] Jeong H C and Steinhardt P J 1997 Phys. Rev. B 55 3520 [3] Gummelt P 1996 Geometria Dedicata 62 1 [4] Steinhardt P J and Jeong H C 1996 Nature 382431 [5] Fu X J, Yang Y T, Hou Z L and Liu Y Y 2003 Phys.Lett. A 315 156 [6] Fu X J, Hou Z L and Liu Y Y 2003 Solid State Commun. 128 75 [7] Liao L G and Fu X J 2008 Solid State Commun. 146 35 [8] Liao L G, Fu X J and Hou Z L 2008 Chin. Phys. Lett. 25 4336 [9] Ishimasa T, Nissen H U and Fukano Y 1985 Phys. Rev.Lett. 55 511 [10] Stampfli P 1986 Helv. Phys. Acta 59 1260 [11] G\"{ahler F 1988 Quasicrystalline Materials edJanot C and Dubois J M (Singapore: World Scientific) 272 [12] Socolar J E S 1989 Phys. Rev. B 39 10519 [13] Liao L G, Fu H and Fu X J 2009 Acta Phys. Sin. 58 (in Chinese) (to be published) [14] Niizeki K and Mitani H 1987 J. Phys. A: Math. Gen. 20 L405 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|