Experimental verification of the quasi-unit-cell model of quasicrystal structure

Nature

Volumn 396, Issue 6706, 1998, Pages 55-57

  Steinhardt, Paul J ^a   Jeong, H C ^b   Saitoh, K ^c   Tanaka, M ^c   Abe, E ^d   Tsai, A P ^d  

^a PRINCETON UNIVERSITY   (United States)

^b Sejong University   (South Korea)

^c TOHOKU UNIVERSITY   (Japan)

^d NATIONAL INSTITUTE FOR MATERIALS SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CRYSTAL STRUCTURE; ELECTRON DIFFRACTION; MATHEMATICAL MODEL; PRIORITY JOURNAL; STOICHIOMETRY; X RAY DIFFRACTION;

EID: 0032487964     PISSN: 00280836     EISSN: None     Source Type: Journal    
DOI: 10.1038/23902     Document Type: Article

References (23)

1. Levine, D. & Steinhardt, P. J. Quasicrystals: a new class of ordered structures. Phys. Rev. Lett. 53, 2477-2480 (1984).
2. Penrose, R. The role of aesthetics in pure and applied mathematical research. Bull. Inst. Math. Applic. 10, 266-271 (1974).
3. Gummelt, P. Construction of Penrose tilings by a single aperiodic protoset. Geometriae Dedicata 62, 1-17 (1996).
4. Steinhardt, P. J. & Jeong, H.-C. A simpler approach to Penrose tiling with implications for quasicrystal formation. Nature 382, 433-435 (1996).
5. Jeong, H.-C. & Steinhardt, P. J. Constructing Penrose-like tilings from a single proto-tile and the implications for quasicrystals. Phys. Rev. B 55, 3520-3532 (1997).
6. Janot, C. & de Boisseau, M. in Quasicrystals: The State of the Art (eds DiVincenzo, D. & Steinhardt, P. J.) 57-94 (World Scientific, Singapore, 1995).
7. Tsai, A. P., Inoue, A. & Masumoto, T. Icosahedral, decagonal and amorphous phases in Al-Cu-M (M = transition metal) systems. Mater. Trans. Jpn Inst. Metals 30, 666-676 (1989).
8. Hiraga, K., Lincoln, F. J. & Sun, W. Structure and structural change of Al-Ni-Co decagonal quasicrystal by high-resolution electron microscopy. Mater. Trans. Jpn Inst. Metals 32, 308-314 (1991).
9. 15 quasicrystals. Sci. Rep. Res. Inst. Tohoku Univ. A 42, 207-212 (1996).
10. Ritsch, S. et al. Highly perfect decagonal Al-Co-Ni quasicrystals. Phil. Mag A 74, 99-106 (1996).
11. Burkov, S. Modeling decagonal quasicrystals: random assembly of interpenetrating decagonal clusters. J. Phys. 2, 695-706 (1992); Structure model of the Al-Cu-Co decagonal quasicrystal. Phys. Rev. Lett. 67, 614-617 (1991).
12. Burkov, S. Modeling decagonal quasicrystals: random assembly of interpenetrating decagonal clusters. J. Phys. 2, 695-706 (1992); Structure model of the Al-Cu-Co decagonal quasicrystal. Phys. Rev. Lett. 67, 614-617 (1991).
13. 15. Acta Crystallogr. B 46, 703-712 (1990).
14. Boudard, M. et al. Atomic structure of the Al-Pd-Mn icosahedral phase. J. Non-Cryst. Solids 153-4 5-9 (1993).
15. Janot, C. & Patera, J. Simple physical generation of quasicrystals. Phys. Lett. A 233, 110-114 (1997).
16. Edagawa, K., Ichihara, M., Suzuki, K. & Takeuchi, S. New type of decagonal quasicrystal with superlattice order in Al-Ni-Co alloy. Phil. Mag. Lett. 66, 19-25 (1992).
17. Ritsch, S., Beeli, C., Nissen, H.-U. & Luck, R. Two different superstructures od the decagonal Al-Co-Ni quasicrystal. Phil. Mag. A 71, 671-685 (1995).
18. Fujiwara, A., Tsai, A. P. & Inoue, A. in Proc. 6th Int. Conf. Quasicrystals (eds Takeuchi, S. & Fujiwara, A.) 341 (World Scientific, Singapore, 1988).
19. 8 decagonal quasicrystal using the high-angle annular dark-field method. Jpn J. Appl. Phys. 36, L1400-L1402 (1997).
20. 8 decagonal quasicrystal. Preprint (Tohoku Univ., 1998); J. Phys. Soc. Jpn. (in the press).
21. 13. Phil. Mag B 70, 215-240 (1994).
22. Sato, T. J., Abe, E. & Tsai, A. P. A novel decagonal quasicrystal in Zn-Mg-Dy system. Jpn J. Appl. Phys. 36, L1038-L1039 (1997).
23. Mermin, N. D. in Quasicrystals: The State of the Art (eds DiVincenzo, D. & Steinhardt, P. J.) 133-184 (World Scientific, Singapore, 1991).