Iglesias Juan E
Instituto de Ciencia de Materiales de Madrid, Consejo Superior de Investigaciones Científicas, Cantoblanco, 28049 Madrid, Spain.
Acta Crystallogr A. 2006 May;62(Pt 3):178-94. doi: 10.1107/S0108767306003126. Epub 2006 Apr 14.
The different close-packed polytypes MX and MX2 have been enumerated for each of the possible space groups by counting the corresponding Zhdanov symbols for each space group and period of stacking, P, by the use of elementary combinatorial techniques. In special cases, simple closed formulae are obtained for these numbers as functions of P. The symmetry properties of the Zhdanov symbol have been investigated with the help of its cyclotomic representation and the two-color symmetry point group thereof. Zhdanov-like rules have been developed for MX2 polytypes. The SiC cases have been generated to P = 18 under the ;1-exclusion' rule and the possible diamond polytypes have been examined.
通过使用基本组合技术，对每个可能的空间群，通过计算每个空间群和堆积周期(P)对应的日丹诺夫符号，列举了不同的密堆积多型体(MX)和(MX_2)。在特殊情况下，得到了这些数字作为(P)的函数的简单封闭公式。借助日丹诺夫符号的分圆表示及其双色对称点群，研究了日丹诺夫符号的对称性质。已经为(MX_2)多型体制定了类似日丹诺夫的规则。在“(1 -)排除”规则下，生成了碳化硅的情况至(P = 18)，并研究了可能的金刚石多型体。
