Abstract
Structure model for decagonal quasicrystals AlCuCo and AlNiCo is proposed. The model agrees with available experimental data: the results of three-dimensional and five- dimensional Patterson analysis of X-ray diffraction data and with direct space atomic patterns found by high resolution electron microscopy. The model allows for a dualistic description: it can be viewed as both a set of specifically decorated overlapping decagonal clusters and as cutting and projecting only two simple “atomic surfaces”.
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References
A. R. Kortan, F. A. Thiel, H. S. Chen, A. P. Tsai, A. Inoue and T. Masumoto, Phys. Rev. B 40, 9397 (1989).
H. Chen, S. E. Burkov, Y. He, G. J. Shiflet and S. J. Poon, Phys. Rev. Lett. 65, 72 (1990).
K. Hiraga, W. Sun, F.J. Lincoln, Material Transactions JIM, 32, 308 (1991); Jpn. J. Appl. Phys., 30, L302 (1991).
Y. He, H. Chen, X. F. Meng, G. J. Shiflet and S. J. Poon, Phil. Mag. Lett., 63, 211 (1991).
A. Yamamoto, K. Kato, T. Shibuya and S. Takeuchi, Phys. Rev. Lett. 65 1603 (1990).
W. Steurer and K.H. Kuo, Acta Cryst., B46 703 (1990).
S. Hashimoto, K. Hiraga, X. Jiang, M. Kaneko, J. Kulik, Y. Matsuo and S.C. Moss, Texas AM Univ. Preprint (1991).
S.E. Burkov, J. Stat. Phys. 65, 395 (1991).
P. A. Kalugin, A. Yu. Kitaev and L. S. Levitov, JETP Lett. 41, 145 (1985); J. Phys. (Paris) 46, L601 (1985); M. Denau and A. Katz, Phys. Rev. Lett. 54, 2688 (1985); P. Bak, Phys. Rev. Lett. 56, 861 (1986).
D. Gratias, J. W. Cahn and B. Mozer, Phys. Rev. B 38, 1638 (1988); Phys. Rev. B 38, 1643 (1988); S. Y. Qui and M. V. Jaric, in Quasicrystals, edited by T. Fujiwara and T. Ogava, (Springer-Verlag, Berlin, 1990), p. 48; M. Cornier-Quiquandon, A. Quivy, S. Lefebvre, E. Elkaim, G. Heger, A. Katz and D. Gratias, preprint 1991.
V. Elser and C. L. Henley, Phys. Rev. Lett. 55, 1883 (1985).
A. R. Kortan, R. S. Becker, F. A. Thiel, and H. S. Chen, Phys. Rev. Lett. 64, 200 (1990).
S. E. Burkov, Cornell Univ. Preprint (1990).
F.Lancon, L.Billard and P.Chaudhari, Europhys. Lett. 2, 625 (1986); F. Lancon, L. Billard, J. Phys. (Paris) 49, 249 (1988). M. Widom, K. Strandburg, and R. H. Swendsen, Phys. Rev. Lett. 58, 706 (1987).
E. Cockayne, private communication.
D. Mermin applied the results of Ref. {17} to this particular structure.
D. A. Rabson, N. D. Mermin, D. S. Roksar and D. C. Wright, Cornell Univ. Preprint (1990).
P. A. Kalugin, Europhys. Lett. 9, 545 (1989).
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© 1992 Springer Science+Business Media Dordrecht
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Burkov, S.E. (1992). Structure Model of the Al-Cu-Co Decagonal Quasicrystal. In: Jena, P., Khanna, S.N., Rao, B.K. (eds) Physics and Chemistry of Finite Systems: From Clusters to Crystals. NATO ASI Series, vol 374. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2645-0_8
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DOI: https://doi.org/10.1007/978-94-017-2645-0_8
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