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  Full real-space analysis of a dodecagonal quasicrystal

Schenk, S., Zollner, E. M., Krahn, O., Schreck, B., Hammer, R., Förster, S., et al. (2019). Full real-space analysis of a dodecagonal quasicrystal. Acta Crystallographica Section A: Foundations and Advances, A75, 307-313. doi:10.1107/S2053273319000056.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-1245-5 Version Permalink: https://hdl.handle.net/21.11116/0000-0009-4FD7-D
Genre: Journal Article

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 Creators:
Schenk, Sebastian1, Author
Zollner, Eva Maria1, Author
Krahn, Oliver1, Author
Schreck, Berit1, Author
Hammer, Rene1, Author
Förster, Stefan1, Author
Widdra, Wolf2, Author
Affiliations:
1External Organizations, ou_persistent22              
2Max Planck Institute of Microstructure Physics, Max Planck Society, Weinberg 2, 06120 Halle, DE, ou_2415691              

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Free keywords: 2D oxide quasicrystal; BaTiO3 on Pt(111); dodecagonal tiling; statistical analysis; scanning tunnelling microscopy.
 Abstract: The atomically resolved real-space structure of a long-range-ordered dodecagonal quasicrystal is determined based on scanning tunnelling microscopy. For the BaTiO3-derived oxide quasicrystal which spontaneously forms on a Pt(111) surface, 8100 atomic positions have been determined and are compared with an ideal Niizeki–Gähler tiling. Although the Niizeki–Gähler tiling has a complex three-element structure, the abundance of the triangle, square and rhomb tiling elements in the experimental data closely resembles the ideal frequencies. Similarly, the frequencies of all possible next-neighbour tiling combinations are, within the experimental uncertainty, identical to the ideal tiling. The angular and orientational distributions of all individual tiling elements show the characteristics of the dodecagonal quasicrystal. In contrast, the analysis of the orientation of characteristic and more complex tiling combinations indicates the partial decomposition of the quasicrystal into small patches with locally reduced symmetry. These, however, preserve the long-range quasicrystal coherence. The symmetry reduction from dodecagonal to sixfold is assigned to local interaction with the threefold substrate. It leads to atomic flips which preserve the number of quasicrystal tiling elements.

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 Dates: 2019-032019-03
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: BibTex Citekey: P13761
DOI: 10.1107/S2053273319000056
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Title: Acta Crystallographica Section A: Foundations and Advances
  Abbreviation : Acta Cryst. A
Source Genre: Journal
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Publ. Info: IUCr/Wiley
Pages: - Volume / Issue: A75 Sequence Number: - Start / End Page: 307 - 313 Identifier: ISSN: 2053-2733
CoNE: https://pure.mpg.de/cone/journals/resource/2053-2733