Summary
Quasicrystal structures are commonly described as a cut through a density distribution in higher-dimensional space. When adopted in a diffraction approach to the structure solution, such a scheme in general only provides information about an averaged density distribution in real space, and fails to account for correlations in the occupancy of some partially occupied sites. An alternative and complementary approach described here combines a tiling-decoration description of the structure, and cohesive energies calculated using realistic pair potentials, in order to propose plausible atomic configurations, compatible with the diffraction data. The approach is illustrated on the example of a large cubic approximant to the icosahedral AlZnMg quasicrystal.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bak P. (1985): Phys. Rev. Lett. 54, 1517,
Bak P. (1986): Phys. Rev. B 32, 5764
Bergman G., Waugh J. L. T., Pauling L. (1957): Acta Cryst. 10, 254
Denton A., Hafner J. (1997): Phys. Rev. B 56, 2469
Dell’Acqua G., Krajčí M., Hafner J. (1997): J. Phys. Cond. Matt. 9, 10 725
Dzugutov M. (1993): Phys. Rev. Lett. 70, 2924
Elser V. (1985): Phys. Rev. B 32, 4892
Friedel J. (1988): Helv. Phys. Acta 61, 538
Hafner J., Krajčí M. (1993): J. Phys. Cond. Matt. 5, 2489
Hafner J., Heine V. (1983, 1986): J. Phys. F 13, 2479;
Hafner J., Heine V. (1983, 1986): J. Phys. F 16, 1429
Henley C. L. (1991): Phys. Rev. B 43, 993
Henley C. L., Elser V. (1986): Phil. Mag. B 53, L59
Krajčí M., Hafner J. (1992): Phys. Rev. B 46, 10 669
Mihalkovič M., Mrafko P. (1993): Europhys. Lett. 21, 463
Mihalkovič M., Mrafko P. (1994): Phys. Rev. B 49, 100;
Mihalkovič M., Mrafko P. (1992): J. Non-Cryst. Sol. 143, 225
Mihalkovič M., Zhu W.-J., Henley C.L., Oxborrow M. (1996): Phys. Rev. B 53, 9002
Mihalkovič M., Zhu W.-J., Henley C.L., Phillips R. (1996): Phys. Rev. B 53, 9021
Mizutani U., Matsuda T., Itoh Y., Tanaka K., Domae H., Mizuno T., Murasaki S., Miyoshi Y., Hashimoto K., Yamada Y. (1993): J. Non-Cryst. Sol. 156–158, 882
Moriarty J.A., Widom M. (1997): Phys. Rev. B 56, 7905
Oxborrow M. (1993): Ph. D. Thesis, Cornell University, Ithaca
Roth J., Trebin H.-R., Schilling R. (1995): Phys. Rev. B 51, 15 833
Roth J., Henley C. L. (1997): Phil. Mag. A 75, 861
Smith A. P. (1991): Phys. Rev. B 43, 11 635
Spiekerman S., PhD Thesis, Fachbereich Chemie, Universität Dortmund (1998)
Takeuchi T., Mizutani U. (1995): Phys. Rev. B 52, 9300
Vaks V.G., Kamyshenko V.V., Samolyuk G.D. (1988): Phys. Lett. 132 A, 131
Widom M., Phillips R., Zou J., Carlsson A.E. (1995): Phil. Mag. B 71, 397
Widom M., Cockayne E.: Proc. Fifth Int. Conf. Quasicrystals, ed. C. Janot, R. Mosseri (Singapore, World Scientific 1994), p. 343
Windisch M., Hafner J., Krajčí M., Mihalkovič M. (1994): Phys. Rev. B 49, 8701
Yamamoto A. (1993): Acta Cryst. A 49, 337
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mihalkovič, M. (2002). Structure of Quasicrystals via Pair Potentials. In: Suck, JB., Schreiber, M., Häussler, P. (eds) Quasicrystals. Springer Series in Materials Science, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05028-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-662-05028-6_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08390-7
Online ISBN: 978-3-662-05028-6
eBook Packages: Springer Book Archive