Covering clusters in the Katz-Gratias model of icosahedral quasicrystals

Materials Science and Engineering A

Volumn 294-296, Issue , 2000, Pages 192-198

  Duneau, Michel ^a  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALUMINUM ALLOYS; CRYSTAL ATOMIC STRUCTURE; CRYSTAL SYMMETRY; MATHEMATICAL MODELS;

BERGMAN CLUSTERS; ICOSAHEDRAL QUASICRYSTALS; KATZ-GRATIAS MODEL; MACKAY CLUSTERS;

QUASICRYSTALS;

EID: 0034511296     PISSN: 09215093     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0921-5093(00)01308-3     Document Type: Article

References (34)

1. B. Grünbaum, G.C. Shephard, Tilings and Patterns, Freeman, New York, 1987.
2. D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53 (1984) 1951.
3. S.E. Burkov, J. Phys. I Fr. 2 (1992) 695.
4. S.E. Burkov, Phys. Rev. Lett. 67 (1991) 614.
5. C. Janot, M. de Boissieu, Phys. Rev. Lett. 72 (1994) 1674.
6. C. Janot, Phys. Rev. B 53 (1996) 181.
7. C. Janot, J. Phys.: Condens. Matter 9 (1997) 1493.
8. C. Janot, J. Patera, J. Non-cryst. Solids 234 (1998) 234.
9. H.C. Jeong, P.J. Steinhardt, Phys. Rev. Lett. 73 (1994) 1943.
10. F. Gähler, Phys. Rev. Lett. 74 (2) (1995) 334.
11. P. Gummelt, in: C. Janot, R. Mosseri (Eds.), Proceedings of the Fifth International Conference on Quasicrystals, World Scientific, Singapore, 1995, pp. 84.
12. P. Gummelt, Geom. Dedicata 62 (1996) 1.
13. M. Duneau, in: C. Janot, R. Mosseri (Eds.), Proceedings of the Fifth International Conference on Quasicrystals, World Scientific, Singapore, 1995, pp. 116.
14. F. Gähler, in: S. Takeuchi, T. Fujiwara (Eds.), Proceedings of the Sixth International Conference on Quasicrystals, World Scientific, Singapore, 1998, pp. 95.
15. F. Gähler, H.C. Jeong, J. Phys. A 28 (7) (1995) 1807.
16. H.C. Jeong, P.J. Steinhardt, Phys. Rev. B 553 (1997) 1493.
17. S.I. Ben-Abraham, F. Gähler, Phys. Rev. B 60 (1999) 860.
18. V. Elser, Phil. Mag. B 73 (1996) 641.
19. V. Elser, in: S. Takeuchi, T. Fujiwara (Eds.), Proceedings of the Sixth International Conference on Quasicrystals, World Scientific, Singapore, 1997, pp. 19.
20. A. Katz, D. Gratias, J. Non-cryst. Solids 153/154 (1993) 187.
21. A. Katz, D. Gratias, in: C. Janot, R. Mosseri (Eds.), Proceedings of the Fifth International Conference on Quasicrystals, World Scientific, Singapore, 1995, pp. 164.
22. G. Bergman, L.T. Waugh, L. Pauling, Acta Cryst. 10 (1957) 254.
23. M. Audier, J. Pannetier, M. Leblanc, C. Janot, J. Lang, B. Dubost, Physica B 153 (1988) 136.
24. M. Cooper, K. Robinson, Acta Cryst. 20 (1966) 614.
25. M. Duneau, C. Oguey, J. Phys. 50 (1989) 135.
26. L. Beraha, M. Duneau, K. Klein, M. Audier, Phil. Mag. A 76 (1997) 587.
27. L. Beraha, M. Duneau, K. Klein, M. Audier, Phil. Mag. A 78 (1998) 345.
28. K. Sugiyama, N. Kaji, K. Hiraga, Zeitschr. Krist. 213 (1998) 90.
29. K. Sugiyama, N. Kaji, K. Hiraga, Zeitschr. Krist. 213 (1998) 168.
30. M. Boudard, M. de Boissieu, C. Janot, G. Heger, C. Beeli, H.-U. Nissen, H. Vincent, R. Ibberson, M. Audier, J.M. Dubois, J. Phys.: Condens. Matter 4 (1992) 10149.
31. M. Cornier-Quiquandon, A. Quivy, S. Lefebvre, G. Elkaim, D. Gratias, Phys. Rev. B 44 (1991) 2071.
32. D. Gratias, F. Puyraimond, M. Quiquandsn, Phys. Rev. B (2000), submitted.
33. M. Boudard, H. Klein, M. de Boisieu, M. Audier, H. Vincent, Phil. Mag. A 74 (1996) 939.
34. M. Mihalkovic, P. Mrafko, Phil. Mag. Lett. 69 (1994) 85.