Nomenclature and generation of three-periodic nets: the vector method
Nomenclature and generation of three-periodic nets: the vector method
复制标题
三周期网的命名和生成：矢量方法
DOI：
--
复制
发表时间：
1984
期刊：
影响因子：
--
通讯作者：
W. Klee
中科院分区：
文献类型：
--
作者：
S. Chung;T. Hahn;W. Klee
三周期网络是允许嵌入具有三倍周期性的连通图。对于许多晶体结构，这样的网络可以被有意义地分配并用于表达结构的拓扑。结果表明，这样的网络可以通过有限图来完全表征，其中以适当的方式标记边。将标记的有限图分配给给定网络的过程的逆转可用于以系统方式生成真实和假设晶体结构的网络。
Three-periodic nets are connected graphs which permit embeddings having a threefold periodicity. To many crystal structures such nets can be meaningfully assigned and used to express the topology of the structures. It is shown that such a net can be fully characterized by a finite graph in which the edges are labelled in a suitable way. The reversal of the process of assigning a labelled finite graph to a given net can be used to generate nets of real and hypothetical crystal structures in a systematic fashion.