Plane and Frieze Symmetry Group Determination for Educational Purposes,Journal of Chemical Education

当前位置： X-MOL 学术 › J. Chem. Educ. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Plane and Frieze Symmetry Group Determination for Educational Purposes
Journal of Chemical Education ( IF 2.5 ) Pub Date : 2020-06-26 , DOI: 10.1021/acs.jchemed.0c00093
Michał Duda _{1,

2} , Alicja Rafalska-Łasocha _{1,

2} , Wiesław Łasocha _{1,

2}

Affiliation

Three-dimensional symmetry plays a crucial role in crystallography education. The educational process can be facilitated by introducing the analysis of friezes and plane patterns such as parquets before presenting more sophisticated crystal structures. Analysis of the symmetry of parquets can serve as an opportunity to follow the full routine of finding symmetry group symbols through incorporation of a two-step procedure involving the determination of Bravais lattice type. The aim of this paper is to provide a simple description of the analysis of Bravais lattices and pattern symmetry that can be used by students as well as crystallography educators. The procedure is also summarized in the form of comprehensive tree charts. This form is easy to use and popular with students. It may also aid in the retention of certain facts concerning crystallographic methodology. Examples of patterns in frieze and parquet forms were taken from the interiors of Kórnik Castle (Poland), which exhibit Moorish-style ornamentation including dichroic patterns and constitute an important locus of cultural heritage capable of strengthening students’ motivation.

中文翻译：

用于教育目的的平面和条带对称组确定

三维对称在晶体学教育中起着至关重要的作用。在介绍更复杂的晶体结构之前，可以通过对fr条和平面图案（例如镶木地板）进行分析来促进教育过程。对镶木地板的对称性分析可以作为一个机会，通过结合包括确定Bravais晶格类型在内的两步过程来遵循查找对称性组符号的完整例程。本文的目的是提供对Bravais晶格和图案对称性分析的简单描述，学生和晶体学教育工作者都可以使用它们。还以综合树形图的形式总结了该过程。这种形式易于使用，并深受学生欢迎。它还可能有助于保留有关晶体学方法的某些事实。fr丝和镶木地板形式的图案示例取自Kórnik城堡（波兰）的内部，其内部表现出摩尔风格的装饰，包括二向色性图案，并构成了能够增强学生动机的重要文化遗产。

更新日期：2020-08-11

点击分享查看原文

点击收藏

公开下载

阅读更多本刊最新论文本刊介绍/投稿指南11