Lecture on topological crystallography
Lecture on topological crystallography
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DOI：
10.1007/s11537-012-1144-4
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发表时间：
2012-03-01
影响因子：
1.5
通讯作者：
Sunada, Toshikazu
中科院分区：
文献类型：
--
作者：
Sunada, Toshikazu
这是一篇关于基于离散几何分析的现代晶体学的说明性文章，离散几何分析是近十年来发展起来的几个传统学科的混合领域：图论、几何、离散群理论和概率。依赖于代数拓扑的数学部分相当基础，但对于想要了解如何在实践科学中有效使用成熟数学的晶体学家来说可能仍然值得。还解释了晶体学的简史。
This is an expository article on modern crystallography based on discrete geometric analysis, a hybrid field of several traditional disciplines: graph theory, geometry, theory of discrete groups, and probability, which has been developed in the last decade. The mathematical part relying on algebraic topology is fairly elementary, but may be still worthwhile for crystallographers who want to learn how well-established mathematics is effectively used in the practical science. A brief history of crystallography is also explained.