Structural model for octagonal quasicrystals derived from octagonal symmetry elements arising in β-Mn crystallization of a simple monatomic liquid

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 14, 2009, Pages

  Elenius, Måns ^a   Zetterling, Fredrik H M ^a   Dzugutov, Mikhail ^a   Fredrickson, Daniel C ^b   Lidin, Sven ^b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65549130873     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.144201     Document Type: Article

References (43)

1. D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984). 10.1103/PhysRevLett.53.1951
2. H. Takakura, C. P. Gómez, A. Yamamoto, M. de Boissieu, and A. P. Tsai, Nature Mater. 6, 58 (2007). 10.1038/nmat1799
3. S. Katrych, T. Weber, M. Kobas, L. Massüger, L. Palatinus, G. Chapuis, and W. Steurer, J. Alloys Compd. 428, 164 (2007). 10.1016/j.jallcom. 2006.03.064
4. M. Conrad, F. Krumeich, and B. Harbrecht, Angew. Chem. Int., Ed. 37, 1383 (1998). 10.1002/(SICI)1521-3773(19980605)37:10<1383::AID-ANIE1383>3.0. CO;2-R
5. M. Conrad, F. Krumeich, C. Reich, and B. Harbrecht, Mater. Sci. Eng., A 294-296, 37 (2000). 10.1016/S0921-5093(00)01150-3
6. M. Conrad and B. Harbrecht, Chem.-Eur. J. 8, 3093 (2002). 10.1002/1521-3765(20020715)8:14<3093::AID-CHEM3093>3.0.CO;2-0
7. N. Wang, H. Chen, and K. H. Kuo, Phys. Rev. Lett. 59, 1010 (1987). 10.1103/PhysRevLett.59.1010
8. N. Wang, K. K. Fung, and K. H. Kuo, Appl. Phys. Lett. 52, 2120 (1988). 10.1063/1.99754
9. W. Steurer, Z. Kristallogr 219, 391 (2004). 10.1524/zkri.219.7.391.35643
10. Z. H. Mai, L. Xu, N. Wang, K. H. Kuo, Z. C. Jin, and G. Cheng, Phys. Rev. B 40, 12183 (1989). 10.1103/PhysRevB.40.12183
11. L. Xu, N. Wang, S. T. Lee, and K. K. Fung, Phys. Rev. B 62, 3078 (2000). 10.1103/PhysRevB.62.3078
12. J. E. S. Socolar, Phys. Rev. B 39, 10519 (1989). 10.1103/PhysRevB.39. 10519
13. R. Ingalls, J. Non-Cryst. Solids 153-154, 177 (1993). 10.1016/0022-3093(93)90338-X
14. Z. M. Wang and K. H. Kuo, Acta Crystallogr., Sect. A: Found. Crystallogr. 44, 857 (1988). 10.1107/S0108767388004921
15. F. Li and Y. Cheng, Chin. Phys. Lett. 13, 199 (1996). 10.1088/0256-307X/13/3/012
16. E. S. Zijlstra, J. Non-Cryst. Solids 334-335, 126 (2004). 10.1016/j.jnoncrysol.2003.11.026
17. Z. Liu, Z. Zhang, Q. Jiang, and D. Tian, J. Phys.: Condens. Matter 4, 6343 (1992). 10.1088/0953-8984/4/29/018
18. K. H. Kuo, J. Non-Cryst. Solids 117-118, 756 (1990). 10.1016/0022- 3093(90)90639-4
19. J. C. Jiang, N. Wang, K. K. Fung, and K. H. Kuo, Phys. Rev. Lett. 67, 1302 (1991). 10.1103/PhysRevLett.67.1302
20. Z. Huang and S. Hovmöller, Philos. Mag. Lett. 64, 83 (1991). 10.1080/09500839108214671
21. J.-C. Jiang, S. Hovmöller, and X.-D. Zou, Philos. Mag. Lett. 71, 123 (1995). 10.1080/09500839508241004
22. M. Dzugutov, Phys. Rev. Lett. 70, 2924 (1993). 10.1103/PhysRevLett.70. 2924
23. A. Quandt and M. P. Teter, Phys. Rev. B 59, 8586 (1999). 10.1103/PhysRevB.59.8586
24. M. Engel and H.-R. Trebin, Phys. Rev. Lett. 98, 225505 (2007). 10.1103/PhysRevLett.98.225505
25. A. S. Keys and S. C. Glotzer, Phys. Rev. Lett. 99, 235503 (2007). 10.1103/PhysRevLett.99.235503
26. B. G. Hyde and S. Andersson, Inorganic Crystal Structures (Wiley, New York, 1989).
27. M. Duneau, R. Mosseri, and C. Oguey, J. Phys. A 22, 4549 (1989). 10.1088/0305-4470/22/21/017
28. Electron-diffraction simulations were made using the program EMAP: ANALITEX CRYSTALLOGRAPHIC COMPUTING SOFTWARE, Version 1.0, produced by AnaliTEX, Stockholm, Sweden. Diffraction pattern images were exported from this program in gray-scale mode, with dark spots on a light background. A separate graphics program was used to invert this scheme to aid comparison with experimentally measured patterns.
29. S. I. Ben-Abraham and F. Gähler, Phys. Rev. B 60, 860 (1999). 10.1103/PhysRevB.60.860
30. F. Gähler, Mater. Sci. Eng., A 294-296, 199 (2000). 10.1016/S0921-5093(00)01236-3
31. L. Liao and X. Fu, Solid State Commun. 146, 35 (2008).
32. N. W. Ashcroft, Nuovo Cimento Soc. Ital. Fis., D 12, 597 (1990). 10.1007/BF02453313
33. M. Dzugutov, Phys. Rev. A 40, 5434 (1989). 10.1103/PhysRevA.40.5434
34. M. Dzugutov, M. Alvarez, and E. Lomba, J. Phys.: Condens. Matter 6, 4419 (1994). 10.1088/0953-8984/6/24/004
35. D. G. Pettifor, Bonding and Structure of Molecules and Solids (Oxford University Press, Oxford, 1995).
36. J. P. K. Doye, D. J. Wales, F. H. M. Zetterling, and M. Dzugutov, J. Chem. Phys. 118, 2792 (2003). 10.1063/1.1534831
37. Numbers used in simulation: A=1.58, B=0.95532948, KF =4.12, α=-0.22, P=-18, V0 =0.04682632.
38. M. Dzugutov, F. Zetterling, and S. Lidin, in Quasicrystals-Preparation, Properties and Applications, edited by, E. Belin-Ferre, P. A. Thiel, A-P. Tsai, and, K. Urban, MRS Symposia Proceedings No. 643 (Materials Research Society, Warrendale, 2001), p. K9.5.
39. M. Dzugutov, Phys. Rev. A 46, R2984 (1992). 10.1103/PhysRevA.46.R2984
40. S. I. Simdyankin, S. N. Taraskin, M. Dzugutov, and S. R. Elliott, Phys. Rev. B 62, 3223 (2000). 10.1103/PhysRevB.62.3223
41. J. Roth and A. R. Denton, Phys. Rev. E 61, 6845 (2000). 10.1103/PhysRevE.61.6845
42. L. Verlet, Phys. Rev. 159, 98 (1967). 10.1103/PhysRev.159.98
43. F. H. Stillinger and T. A. Weber, Science 225, 983 (1984). 10.1126/science.225.4666.983