Real-space atomic structure of a two-dimensional decagonal quasicrystal

Kortan, A. R.; Becker, R. S.; Thiel, F. A.; Chen, H. S.

doi:10.1103/physrevlett.64.200

Cited by 137 publications

(50 citation statements)

References 26 publications

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“…A first report on the structure of the 10-fold AlÀCuÀCo surface concluded that it is bulk terminated. 22 The same surface has been reinvestigated recently using different techniques, and it was concluded that the top surface layer is Al enriched compared to the bulk composition. 23 Nevertheless, STM images show geometrical features consistent with a truncated bulk structure, with 2 nm clusters decorating the nodes of a decagonal tiling.…”

Section: Resultsmentioning

confidence: 99%

Self-Organized Molecular Films with Long-Range Quasiperiodic Order

et al. 2014

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Self-organized molecular films with long-range quasiperiodic order have been grown by using the complex potential energy landscape of quasicrystalline surfaces as templates. The long-range order arises from a specific subset of quasilattice sites acting as preferred adsorption sites for the molecules, thus enforcing a quasiperiodic structure in the film. These adsorption sites exhibit a local 5-fold symmetry resulting from the cut by the surface plane through the cluster units identified in the bulk solid. Symmetry matching between the C60 fullerene and the substrate leads to a preferred adsorption configuration of the molecules with a pentagonal face down, a feature unique to quasicrystalline surfaces, enabling efficient chemical bonding at the molecule-substrate interface. This finding offers opportunities to investigate the physical properties of model 2D quasiperiodic systems, as the molecules can be functionalized to yield architectures with tailor-made properties. KeywordsC60, self-assembly, quasiperiodic order, scanning tunneling microscopy, density functional theory, 5-fold symmetry Disciplines Materials Chemistry | Materials Science and Engineering CommentsReprinted with permission from ACS Nano 8 (2014) Q uasicrystals (QCs) were discovered in intermetallic compounds by D. Shechtman, Nobel Prize in Chemistry 2011. 1 They possess long-range order but no translational invariance. They are a special class of complex intermetallics, in the sense that their unit cell is of infinite dimension. QCs have a fascinating beauty associated with forbidden symmetries, like five-, 10-, or 12-fold rotational symmetries not found in periodic systems. Today, the field is very active, and QCs are being discovered in a broad range of systems. Hundreds of intermetallic compounds with quasiperiodic structures have been identified in phase diagrams. 2 But QCs are no longer restricted to intermetallics. Soft QCs are an emerging field in colloidal and supramolecular chemistry. 3,4 Perovskite oxide thin films with quasiperiodic structures have recently been identified, 5 and even water thin films have been predicted to adopt quasiperiodic structures under specific conditions. 6 In this article, we show that molecular films with long-range quasiperiodic order can also be grown by using clean QC surfaces as templates, thus extending the concept of QCs to an even wider materials field.Thorough investigations of QC surfaces in an ultra-high-vacuum environment have led to the conclusion that they are bulk terminated at specific planes. 7,8 For Al-based QCs, the selected terminations are dense Al-rich planes of the bulk structure separated by the largest interplanar distances corresponding to the lowest surface energy terminations. Low-energy electron diffraction (LEED) and scanning tunneling microscopy (STM) images reveal both the long-range quasiperiodic order and local atomic configurations corresponding to cluster building blocks used to described the bulk structure that are truncated by the surface plane. 9À12 Such termin...

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Section: Resultsmentioning

confidence: 99%

Self-Organized Molecular Films with Long-Range Quasiperiodic Order

et al. 2014

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“…More then ten years ago, the discovery that centimetre size samples of decagonal d -AlCuCo and icosahedral iAlPdMn could be grown opened up the possibility of surface studies of these quasicrystals 1 . Since then other quasicrystal samples have been grown to similar dimensions.…”

Section: Introductionmentioning

confidence: 99%

Bulk termination of the quasicrystalline fivefold surface ofAl70Pd21Mn

Papadopolos¹,

Kasner²,

et al. 2002

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The structure of the Al70Pd21Mn9 surface has been investigated using high resolution scanning tunnelling microscopy (STM). From two large five-fold terraces on the surface in a short decorated Fibonacci sequence, atomically resolved surface images have been obtained. One of these terraces carries a rare local configuration in a form of a ring. The location of the corresponding sequence of terminations in the bulk model M of icosahedral i -AlPdMn based on the three-dimensional tiling T * (2F ) of an F-phase has been estimated using this ring configuration and the requirement from the LEED work of Gierer et al. that the average atomic density of the terminations is 0.136 atoms per A 2 . A termination contains two atomic plane layers separated by a vertical distance of 0.48Å. The position of the bulk terminations is fixed within the layers of Bergman polytopes in the model M: they are 4.08Å in the direction of the bulk from a surface of the most dense Bergman layers. From the coding windows of the top planes in terminations in M we conclude that a Penrose (P1) tiling is possible on almost all five-fold terraces. The shortest edge of the tiling P1, is either 4.8Å or 7.8Å. The experimentally derived tiling of the surface with the ring configuration has an edge-length of 8.0 ± 0.3Å and hence matches the minimal edge-length expected from the model.

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“…Some of the elements at the surface of a decagonal quasicrystalline Al-Co-Cu alloy could be identified by Becker and coworkers using arguments based upon stoichiometry -4-more complicated icosohedral quasicrystalline alloy structure [24]. More recently, other surface atoms, Pt and Ni have been differentiated in the surface layers of solid alloys with known surface compositions, but only under special STM tip conditions that could not be reproduced at will [25].…”

Section: Contrast In Stm Imagingmentioning

confidence: 99%

Analytical applications of scanning tunneling microscopy

Weiss¹

1994

TrAC Trends in Analytical Chemistry

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Real-space atomic structure of a two-dimensional decagonal quasicrystal

Cited by 137 publications

References 26 publications

Self-Organized Molecular Films with Long-Range Quasiperiodic Order

Self-Organized Molecular Films with Long-Range Quasiperiodic Order

Bulk termination of the quasicrystalline fivefold surface ofAl70Pd21Mn

Analytical applications of scanning tunneling microscopy

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