Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-25T18:33:33.437Z Has data issue: false hasContentIssue false
  • English
  • Français

Atomic-Resolution Z-Contrast Imaging Of Decagonal Quasicrystals: A Nucleation And Growth Mechanism

Published online by Cambridge University Press:  02 July 2020

Y. Yan  and
S. J. Pennycook
Y. Yan
Affiliation:
National Renewable Energy Laboratory, Golden, Colorado80401
S. J. Pennycook
Affiliation:
Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee37831
Get access

Extract

Though quasicrystals were discovered more than a decade ago, the fundamental questions of why and how quasicrystals form are still unanswered. Knowledge of atomic positions, for all species present, is the most important factor in trying to answer this question, and we have therefore applied Z-contrast imaging to this problem. The quasicrystalline structure, a state with long-range order, but no periodic translation symmetry, has been commonly described by the Penrose tiling model, in which two types of tile are connected according to strict matching rules. However, such a mathematical description does not provide any physical insight into how and why quasicrystals arise. An alternative description of the ideal quasicrystal has been given by Gummelt, who showed that the ideal quasicrystalline arrangement can be obtained with a single type of tile which is allowed to overlap so as to cover the surface. The equivalence of these two descriptions was proved by Steinhardt and Jeong.

Type
High Resolution Electron Microscopy
Information
Microscopy and Microanalysis , Volume 5 , Issue S2: Proceedings: Microscopy & Microanalysis '99, Microscopy Society of America 57th Annual Meeting, Microbeam Analysis Society 33rd Annual Meeting, Portland, Oregon August 1-5, 1999 , August 1999 , pp. 192 - 193
Copyright
Copyright © Microscopy Society of America

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Shechtman, D., Blech, I., Gratias, D., J.W., and Cahn, , Phys. Rev. Lett. 53, 1951–1953 (1984).CrossRefGoogle Scholar
2.Levine, D., and Steinhardt, P.J., Phys. Rev. Lett. 53, 2477–2480 (1984).CrossRefGoogle Scholar
3.Penrose, R., Bull. Inst. Math. Applic. 10, 266–271 (1974).Google Scholar
4.Gummelt, P., Geometriae Dedicata 62, 1–17 (1996).CrossRefGoogle Scholar
5.P.J.Steinhardt, , and Jeong, H.-C., Nature 382, 433–435 (1996).Google Scholar
6.Steinhardt, P.J., et al. Nature 396, 55–57 (1998).CrossRefGoogle Scholar
7.Saitoh, K. et al. Jpn. J. Appl. Phys. 36, L1404 (1998).Google Scholar
8.Yan, Y., Pennycook, S.J. and Tsai, A.P., Phys. Rev. Lett. 81, 5145 (1998).CrossRefGoogle Scholar
9. The work at NREL was supported by DOE under contract No. DE-AC36-83CH11093; The work at ORNL research was sponsored by the Division of Materials Sciences, DOE, under contract DE-AC05-96OR22464.Google Scholar