Distinguishing quasiperiodic from random order in high-resolution TEM images

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 13, 1997, Pages 8175-8183

  Joseph, Dieter ^a   Ritsch, Stefan ^b  

^a Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001058720     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.8175     Document Type: Article

References (30)

1. D. Shechtman, I. Blech, D. Gratias and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
2. T. Ishimasa, H.-U. Nissen and Y. Fukano, Phys. Rev. Lett. 55, 511 (1985).
3. L. Bendersky, Phys. Rev. Lett. 55, 1461 (1985).
4. N. Wang, H. Chen and K. H. Kuo, Phys. Rev. Lett. 59, 1010 (1987).
5. X. Z. Li, R. C. Yu, K. H. Kuo and K. Hiraga, Philos. Mag. Lett. 73, 255 (1996).
6. M. Saito, M. Tanaka, A. P. Tsai, A. Inoue and T. Masumoto, Jpn. J. Appl. Phys. 31, L109 (1992).
7. S. Ritsch, C. Beeli and H.-U. Nissen, Philos. Mag. Lett. 74, 203 (1996).
8. R. Penrose, Bull. Inst. Math. Appl. 10, 266 (1974).
9. P. Kramer and R. Neri, Acta Crystallogr. Sect. A 40, 580 (1984).
10. M. Baake and M. Schlottmann, in Quasicrystals, edited by C. Janot and R. Mosseri (World Scientific, Singapore, 1995), p. 15, and references therein.
11. The Mathematics of Aperiodic Order, edited by R. V. Moody (Kluwer, Dordrecht, 1997), for an overview.
12. V. Elser, Phys. Rev. Lett. 54, 1730 (1985).
13. K. Ingersent, in Quasicrystals—The State of the Art, edited by D. P. DiVincenzo and P. J. Steinhardt (World Scientific, Singapore, 1991), p. 185.
14. F. Gähler and H.-C. Jeong, J. Phys. A 28, 1807 (1995).
15. S. E. Burkov, Phys. Rev. B 47, 12t325 (1993).
16. C. L. Henley, in Quasicrystals—The State of the Art (Ref. 13), p. 429.
17. D. Joseph and M. Baake, J. Phys. A 29, 6709 (1996).
18. S. Ritsch, C. Beeli, H.-U. Nissen, T. Gödecke, M. Scheffer and R. Lück, Philos. Mag. Lett. 74, 99 (1996).
19. B. Grünbaum and G. C. Shephard, Tilings and Patterns (Freeman, New York, 1987).
20. K. Edagawa, M. Ichihara, K. Suzuki and S. Takeuchi, Philos. Mag. Lett. 66, 19 (1992).
21. S. Ritsch, C. Beeli, H.-U. Nissen and R. Lück, Philos. Mag. A 71, 671 (1995).
22. K. Niizeki, J. Phys. Soc. Jpn. 63, 4035 (1994).
23. K. Edagawa, H. Sawa, M. Ichihara, K. Suzuki, and S. Takeuchi, Mater. Sci. Forum 150 & 151, 223 (1994).
24. H. Chen, S. E. Burkov, Y. He, S. J. Poon and G. J. Shiflet, Phys. Rev. Lett. 65, 72 (1990).
25. H. Selke, C. Pohla, R. Hory, and P. L. Ryder (unpublished).
26. H. Bauer, Wahrscheinlichkeitstheorie (de Gruyter, Berlin, 1991).
27. S. Ritsch, C. Beeli and H.-U. Nissen, Phys. Rev. Lett. 76, 2507 (1996).
28. L. J. Shaw, V. Elser and C. L. Henley, Phys. Rev. B 43, 3423 (1991).
29. G. Zeger and H.-R. Trebin, Phys. Rev. B 54, R720 (1996).
30. R. Balian, From Microphysics to Macrophysics (Springer, Berlin, 1991), Vol. 1.