Estevez-Rams Ernesto, Azanza-Ricardo Cristy, Martínez García Jorge, Aragón-Fernández Beatriz
Institute for Materials and Reagents (IMRE), University of Havana, San Lazaro y L, CP 10400, C. Habana, Cuba.
Acta Crystallogr A. 2005 Mar;61(Pt 2):201-8. doi: 10.1107/S0108767304034294. Epub 2005 Feb 22.
A systematic use of binary codes derived from the Hagg symbol are used to study close-packed polytypes. Seitz operators acting over the corresponding binary codes are defined and used. The number of non-equivalent polytypes of a given length are calculated through the use of the Seitz operators. The same procedure is applied to the problem of counting the number of polytypes complying with a given symmetry group. All counting problems are reduced to an eigenvector problem in the binary code space. The symmetry of the binary codes leads to the different space groups to which polytypes can belong.
一种源自哈格符号的二进制编码的系统应用被用于研究密堆积多型体。定义并使用了作用于相应二进制编码的塞茨算子。通过使用塞茨算子计算给定长度的非等效多型体的数量。相同的程序应用于计算符合给定对称群的多型体数量的问题。所有计数问题都归结为二进制编码空间中的一个特征向量问题。二进制编码的对称性导致多型体可能所属的不同空间群。
