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The study aims to introduce and analyze a new mosaic structure of quasicrystals derived from hexagonal atomic layers with a specific rotational symmetry.

February 11, 2026Письма в Журнал экспериментальной и теоретической физики / JETP Letters (Journal of Experimental and Theoretical Physics Letters)0 citations

Mozaichnaya struktura kvazikristallov iz trekh geksagonalnykh atomnykh sloev

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LCL. A Chernozatonskiy

Key Points

The study aims to introduce and analyze a new mosaic structure of quasicrystals derived from hexagonal atomic layers with a specific rotational symmetry.
Developed a model for a mosaic structure composed of three hexagonal monolayers.
Analyzed the two-dimensional arrangement of the lattices in 3QC quasicrystals.
Explored the implications of three-dimensionality on the symmetries present.
Identified a color symmetry of 6-fold order in the mosaic structure of single-atom lattices.
Found a 3-fold color symmetry in the bilayer quasicrystals composed of two-atom lattices.

Abstract

Предложена ранее не рассматриваемая плиточная структура мозаики квазикристалла из трех гексагональных монослоев с вращательной симметрией 18-го порядка (3QC) при сведении их трех решеток в плоскость. Учет трехмерности плиток на картине мозаик для Ван-дер-Ваальс-разнесенных в таком 3QC объекте из одноатомных (C, Si, Ge и др.) решеток приводит к “цветной” симметрии 6-порядка входящей в симметрию 18-го порядка модели неразделенных решеток. Для 3QC из двухатомных (BN, MoS2 и др.) решеток цветная мозаика имеет симметрию 3-порядка.

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L. A Chernozatonskiy (2025) studied this question.

synapsesocial.com/papers/698c1ca1267fb587c655f28e https://doi.org/10.7868/s3034576625040197

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Mozaichnaya struktura kvazikristallov iz trekh geksagonalnykh atomnykh sloev

View Full Paper

LCL. A Chernozatonskiy

Key Points

The study aims to introduce and analyze a new mosaic structure of quasicrystals derived from hexagonal atomic layers with a specific rotational symmetry.
Developed a model for a mosaic structure composed of three hexagonal monolayers.
Analyzed the two-dimensional arrangement of the lattices in 3QC quasicrystals.
Explored the implications of three-dimensionality on the symmetries present.
Identified a color symmetry of 6-fold order in the mosaic structure of single-atom lattices.
Found a 3-fold color symmetry in the bilayer quasicrystals composed of two-atom lattices.

Abstract

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Cite This Study

L. A Chernozatonskiy (2025) studied this question.

synapsesocial.com/papers/698c1ca1267fb587c655f28e https://doi.org/10.7868/s3034576625040197

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