Simple tiling model and phason kinetics for decagonal Al-Cu-Co

Zeger, Gabriele; Trebin, Hans‐Rainer

doi:10.1103/physrevb.54.r720

Cited by 18 publications

(2 citation statements)

References 26 publications

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“…30 Many structure models having the space group of P10 5 /mmc have been proposed. 26,35,38,[39][40][41][42][43] The structure has been shown to consist of an alternate stacking of two types of flat atomic layers ͑A and B͒ in the tenfold direction with an identical spacing of 0.2 nm, making up a periodicity of 0.4 nm. Each layer of A and B has a pentagonal symmetry of 5m, and they are related by inversion symmetry.…”

Section: Discussionmentioning

confidence: 99%

Scanning tunneling microscopy of an Al-Ni-Co decagonal quasicrystal

et al. 2002

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The structure of an Al-Ni-Co decagonal ͑d-͒ quasicrystal has been investigated by scanning tunneling microscopy ͑STM͒. STM images with atomic-scale resolution have been obtained successfully for the surfaces of both tenfold and twofold planes. On the tenfold surface, large terraces and monoatomic-layer steps are formed. The symmetry of each layer is not decagonal but pentagonal and the two adjacent layers are related by the inversion symmetry. The step lines are rough, which can be attributed to the existence of many symmetrically equivalent low-energy steps. The atom adsorptions are often observed at locally symmetric sites. An analysis based on the high-dimensional description of the quasicrystalline structure has shown that the structure has nearly perfect quasiperiodic order for the decagonal quasicrystal. On the twofold surface, interlayer phason defects are observed, but the density of them is quite low. This fact indicates that the d-quasicrystal of the present sample is not in the random tiling state in which the configurational entropy related to the phason disorder stabilizes the quasicrystal.

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Section: Discussionmentioning

confidence: 99%

Scanning tunneling microscopy of an Al-Ni-Co decagonal quasicrystal

et al. 2002

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“…Such a cluster motion need not necessarily happen by simultaneous motion of all cluster atoms. Indeed, in some instances like Al-Cu-Co motions of a few atoms mimic the motion of entire clusters [8]. Nevertheless Trebin would call such clusters physical entities.…”

Section: Theorists' Definitions Of Clusters Connected To Binding or Pmentioning

confidence: 99%

Discussion on clusters, phasons and quasicrystal stabilisation

Henley

Boissieu

Steurer

2006

Philosophical Magazine

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Abstract. This paper summarises a two-hour discussion at the Ninth International Conference on Quasicrystals, including nearly 20 written comments sent afterwards, concerning (i) the meaning [if any] of clusters in quasicrystals; (ii) phason elasticity, and (iii) thermodynamic stabilisation of quasicrystals.This paper represents a two-hour discussion that we moderated at the Ninth International Conference on Quasicrystals. The discussion was divided into three parts, concerning (i) the meaning [if any] of clusters in quasicrystals; (ii) phason elasticity, and (iii) thermodynamic stabilisation of quasicrystals. To prime the participants, the discussion leaders prepared discussion papers in advance, which are printed separately [1, 2, 3].The colloquy was rather lively, considering that the topics are probably the most intractable questions in quasicrystals and the ones which have seen the least progress since 1985. There was somewhat less detailed discussion of specific experiments [done, or proposed] than might have been wished, but the discussion made absolutely clear that more experiments are needed in each of the three areas, if we are ever to resolve these questions.Included in this text are (i) notes from the oral comments taken at the discussion session; and (ii) written comments -about 18, almost evenly divided between theorists and experimentalists -which were sent afterwords by most of the participants who spoke during the session:

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Thermally-Induced Tile Rearrangements in Decagonal Quasicrystals — Superlattice Ordering and Phason Fluctuation

Edagawa¹

Coverings of Discrete Quasiperiodic Sets

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Simple tiling model and phason kinetics for decagonal Al-Cu-Co

Cited by 18 publications

References 26 publications

Scanning tunneling microscopy of an Al-Ni-Co decagonal quasicrystal

Scanning tunneling microscopy of an Al-Ni-Co decagonal quasicrystal

Discussion on clusters, phasons and quasicrystal stabilisation

Thermally-Induced Tile Rearrangements in Decagonal Quasicrystals — Superlattice Ordering and Phason Fluctuation

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