MIN Le-quan, NONCLASSICAL PLANE-CRYSTALLOGRAPHIC GROUPS AND THEIR APPLICATIONS Ⅰ, J. Univ. Sci. Technol. Beijing , 3(1996), No. 2, pp. 133-139.
Cite this article as:
MIN Le-quan, NONCLASSICAL PLANE-CRYSTALLOGRAPHIC GROUPS AND THEIR APPLICATIONS Ⅰ, J. Univ. Sci. Technol. Beijing , 3(1996), No. 2, pp. 133-139.
MIN Le-quan, NONCLASSICAL PLANE-CRYSTALLOGRAPHIC GROUPS AND THEIR APPLICATIONS Ⅰ, J. Univ. Sci. Technol. Beijing, 3(1996), No. 2, pp. 133-139.
Citation:
MIN Le-quan, NONCLASSICAL PLANE-CRYSTALLOGRAPHIC GROUPS AND THEIR APPLICATIONS Ⅰ, J. Univ. Sci. Technol. Beijing , 3(1996), No. 2, pp. 133-139.
中文摘要
提出了非经典晶体(NCG)理论体系。该体系能描述无穷多类非经典周期结构,特别是一些经典晶体群规则所不允许的具有局部5,8,10或12次旋转对称的周期结构。给出了NCG的形式分类。
NONCLASSICAL PLANE-CRYSTALLOGRAPHIC GROUPS AND THEIR APPLICATIONS Ⅰ
+ Author Affiliations
Department of Mathematics and Mechanics, USTB, Beijing 100083, PRC
National Laboratory on Machine Perception, Peking University, Beijing 100871, PRC
Received: 10 November 1995
Abstract
A new nonclassical crystallographic group (NCG) theoretical system is set up.This system can describe infinite kinds of nonclassical periodic structures,especially for those with locally n -fold rotational symmetries forbidden by the rules of the classical crystallography. The formal classification of NCGs is given.
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