Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

doi:10.1088/1674-1056/ad51f2

中国物理B ›› 2024, Vol. 33 ›› Issue (9): 96102-096102.doi: 10.1088/1674-1056/ad51f2

Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

Weishen Huang(黄伟深) and Xiujun Fu(傅秀军)†

School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China

收稿日期:2024-03-18 修回日期:2024-05-10 接受日期:2024-05-30 发布日期:2024-08-15
通讯作者: Xiujun Fu E-mail:phxjfu@scut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11674102)

Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

Weishen Huang(黄伟深) and Xiujun Fu(傅秀军)†

School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China

Received:2024-03-18 Revised:2024-05-10 Accepted:2024-05-30 Published:2024-08-15
Contact: Xiujun Fu E-mail:phxjfu@scut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11674102)

摘要/Abstract

摘要： Based on the substitution rule and symmetry, we propose a method to generate an octagonal quasilattice consisting of square and rhombus tiles. Local configurations and Ammann lines are used to guide the growth of the tiles in a quasiperiodic order. The structure obtained is a perfect eight-fold symmetric quasilattice, which is confirmed by the radial distribution function and the diffraction pattern.

关键词: quasicrystals, eight-fold symmetry, Ammann-Beenker tiling

Abstract: Based on the substitution rule and symmetry, we propose a method to generate an octagonal quasilattice consisting of square and rhombus tiles. Local configurations and Ammann lines are used to guide the growth of the tiles in a quasiperiodic order. The structure obtained is a perfect eight-fold symmetric quasilattice, which is confirmed by the radial distribution function and the diffraction pattern.

Key words: quasicrystals, eight-fold symmetry, Ammann-Beenker tiling

中图分类号: (Quasicrystals)

61.44.Br

61.50.Ah (Theory of crystal structure, crystal symmetry; calculations and modeling) 02.60.Cb (Numerical simulation; solution of equations)

Weishen Huang(黄伟深) and Xiujun Fu(傅秀军). Strip method to construct a two-dimensional quasilattice with eight-fold symmetry[J]. 中国物理B, 2024, 33(9): 96102-096102.

Weishen Huang(黄伟深) and Xiujun Fu(傅秀军). Strip method to construct a two-dimensional quasilattice with eight-fold symmetry[J]. Chin. Phys. B, 2024, 33(9): 96102-096102.

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Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

Strip method to construct a two-dimensional quasilattice with eight-fold symmetry

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