| 李平.化学通报,2016,79(8):775-783. |
| 六方硫化钒晶体的空间群推演 |
| Space group deduction of hexagonal vanadium sulfide crystal |
| 投稿时间：2015-12-03 修订日期：2016-02-19 |
| DOI： |
| 中文关键词: 硫化钒 空间群 线性变换矩阵 六方晶系 正当晶胞 |
| 英文关键词:vanadium sulfide, space group, linear transformation matrix, hexagonal system, proper unit cell |
| 基金项目:教改项目《四川大学公共基础课课堂质量提升计划》资助 |
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| 中文摘要: |
| 晶体空间群推演是晶体结构描述和表达的关键环节，也是理论印证实验晶体结构的手段。因涉及数学方法、物理技术和图形软件，所以不仅是晶体结构教学的重点也是难点。本文基于六方硫化钒晶体结构测定的基本结构数据，用自编晶体学程序cryst2015，在图形软件上再现硫化钒的晶体结构。在点空间和三维实向量空间中，由线性映射表达平移和非平移对称操作，得到硫化钒的空间群和对应的矩阵表示群。由生成元的幂次连乘导出空间群群元素的生成顺序，以及由空间群导致的晶体学分类。这种借助实例的连贯推演方法，有助于建立晶体学知识结构框架，尤其能帮助初学者理解晶体学的科学思想体系。 |
| 英文摘要: |
| The space group deductions of crystals are the key link in the descriptions and expressions of crystal structures, and are the theoretical means as well for verifying the experimental structures. Because the descriptions involve mathematics methods, physics techniques, and graphics software usages, therefore, they are not only teaching emphases but also difficulties. Based on the parameters of crystal structure determinations of hexagonal vanadium sulfide, we can reproduce the crystal pattern in graphics software with self-compiling crystallographic code cryst2015. In the point space and three-dimensional real vector space, the space group and the matrix representation group were obtained by expressing the translational and symmetrical operations with .the linear mapping. The products of power of generators unambiguously derive the formation sequence of elements of space group and the crystallographic classification. This coherently deductive method with an example is advantageous for students to establish the crystallographic knowledge framework, especially is able to help abecedarians to comprehend the scientific ideological system of crystallography. |
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