摘要
近年来关于分子模糊对称性的工作多属于模糊点对称性的研究.关于模糊空间对称性探讨较少.只曾对线状一维模糊周期分子进行过一些分析.本文在此基础上进一步对于较复杂的平面一维模糊周期分子——直链共轭多烯(简称为共轭多烯)分子进行了较仔细的探讨.除模糊平移变换外,这里还将涉及模糊的螺旋旋转和滑移反映等空间变换.此外,还讨论了存在其中的其他模糊点对称变换.对于点对称元素的变动导致的模糊对称性特征,往往和某种空间对称变换的模糊对称性特征相关.对于分子轨道,除模糊对称变换的隶属函数外,分析了所属不可约表示成分.对这些分子的某些性质和其模糊对称性特征之间的相关性进行探讨.
On the basis of our recent studies on the molecular fuzzy point group symmetry, we further probe into the more complicated planar one-dimensional fuzzy periodic molecules-straight chain conjugate polyene. Except for the fuzzy translation transformation, the space transformation of the fuzzy screw rotation and the glide plane will be referred to. In addition, other fuzzy point symmetry transformation lain in the space transformation is discussed. Usually there is a correlation between the fuzzy symmetry characterization caused by the transition of the point symmetry elements and by certain space symmetry transformation. For the molecular orbital, the irreducible representation component is analyzed besides the membership function of the fuzzy symmetry transformation. Also, we inquire into the relativity between some molecular property and the fuzzy symmetry characterization.
出处
《中国科学（B辑）》
EI
CAS
CSCD
北大核心
2009年第11期1437-1453,共17页
Science in China(Series B)
关键词
共轭多烯
一维模糊空间周期性变换
隶属函数
不可约表示成分
conjugate polyene, one-dimensional fuzzy periodic transformation, the membership function, irreducible representation component
