Geographic style maps for two-dimensional lattices.

IF 1.9 4区材料科学 Q3 CHEMISTRY, MULTIDISCIPLINARY Acta Crystallographica Section A: Foundations and Advances Pub Date : 2023-01-01 DOI:10.1107/S2053273322010075

Matthew Bright, Andrew I Cooper, Vitaliy Kurlin

引用次数: 0

Abstract

This paper develops geographic style maps containing two-dimensional lattices in all known periodic crystals parameterized by recent complete invariants. Motivated by rigid crystal structures, lattices are considered up to rigid motion and uniform scaling. The resulting space of two-dimensional lattices is a square with identified edges or a punctured sphere. The new continuous maps show all Bravais classes as low-dimensional subspaces, visualize hundreds of thousands of lattices of real crystal structures from the Cambridge Structural Database, and motivate the development of continuous and invariant-based crystallography.

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二维网格的地理风格图。

本文以最近的完全不变式为参数，在所有已知的周期晶体中绘制了包含二维晶格的地理样式图。受刚性晶体结构的启发，晶格被考虑到刚性运动和均匀缩放。由此得到的二维晶格空间是一个具有确定边缘的正方形或一个点状球体。新的连续映射将所有布拉维类显示为低维子空间，将剑桥结构数据库中数十万真实晶体结构的晶格可视化，并推动了基于不变式的连续晶体学的发展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Crystallographica Section A: Foundations and Advances CHEMISTRY, MULTIDISCIPLINARYCRYSTALLOGRAPH-CRYSTALLOGRAPHY

CiteScore

2.60

自引率

11.10%

发文量

419

期刊介绍： Acta Crystallographica Section A: Foundations and Advances publishes articles reporting advances in the theory and practice of all areas of crystallography in the broadest sense. As well as traditional crystallography, this includes nanocrystals, metacrystals, amorphous materials, quasicrystals, synchrotron and XFEL studies, coherent scattering, diffraction imaging, time-resolved studies and the structure of strain and defects in materials. The journal has two parts, a rapid-publication Advances section and the traditional Foundations section. Articles for the Advances section are of particularly high value and impact. They receive expedited treatment and may be highlighted by an accompanying scientific commentary article and a press release. Further details are given in the November 2013 Editorial. The central themes of the journal are, on the one hand, experimental and theoretical studies of the properties and arrangements of atoms, ions and molecules in condensed matter, periodic, quasiperiodic or amorphous, ideal or real, and, on the other, the theoretical and experimental aspects of the various methods to determine these properties and arrangements.