2021
DOI: 10.2320/matertrans.mt-mb2020007
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A Unified Geometrical Framework for Face-Centered Icosahedral Approximants in Al–Pd–TM (TM = Transition Metal) Systems

Abstract: The complex atomic structure of a high-order approximant to face-centered icosahedral quasicrystal in AlPdTM (TM = transition metal) systems can be deconvoluted into two kinds of atomic clusters pinned at the vertices of a tiling composed of four basic polyhedra, called the canonical cells. As a result, thousands of atoms per unit cell can be registered in fifteen orbits associated with vertices, edges, faces, and cells of the relevant canonical-cell tiling. This geometrical framework facilitates a rational gu… Show more

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Cited by 6 publications
(5 citation statements)
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“…This electronic rule can be extended to the 18 – n rule as an 18 – n – 2 n ′ rule, where the number of three-center bonds per transition atom is n ′. Our results also indicate that this electron rule can be applied to other approximants with a higher degree of approximation that have triangle networks, such as KGB-type 2/1 approximants and quasicrystals …”
Section: Resultsmentioning
confidence: 60%
“…This electronic rule can be extended to the 18 – n rule as an 18 – n – 2 n ′ rule, where the number of three-center bonds per transition atom is n ′. Our results also indicate that this electron rule can be applied to other approximants with a higher degree of approximation that have triangle networks, such as KGB-type 2/1 approximants and quasicrystals …”
Section: Resultsmentioning
confidence: 60%
“…3) edited by Prof. Ryuji Tamura of Tokyo University of Science with the title of "Materials Science on Hyper- materials". 83) In fact, this special issue included the articles based on the latest results of a national research project, 2,3,5,23,8492) Grant-in-Aid for Scientific Research on Innovative Areas "Hypermaterials: Innovation of materials science in hyper space". Readers will find their research outcome in the website and the summary of the special issue will be published in the near future from Materials Transactions.…”
Section: Editor's Remarksmentioning
confidence: 99%
“…18,19) Here, the clusters are packed nicely such that all the atomic sites in the structure are accounted for by the cluster shells, while their centers are located at the vertices of the canonical cell tiling (CCT). In this paper, 2) the authors put forward a unified geometrical framework to describe a variety of cluster arrangements in related icosahedral alloys by generalizing the tiling-based geometry. They show that in general hundreds or even thousands of atomic positions in the unit cell of an AP can be classified into fifteen kinds of decoration orbits associated with vertices, edges, faces, and cells of the relevant CCT.…”
Section: Introductionmentioning
confidence: 99%
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“…We have studied quasicrystals (QCs) and their approximants (APs) in Al-Pd-TM (TM = transition metal) system from the viewpoint of their unique structures (e.g., icosahedral clusters) [12][13][14] and novel catalysis materials. )) become very useful precursors as catalysis materials.…”
Section: Introductionmentioning
confidence: 99%