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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.
In recent years, the work on the fuzzy symmetry of molecules belongs to the study of fuzzy symmetry. There are few discussions on the symmetry of fuzzy spaces, and only some analyzes have been done on linear one-dimensional fuzzy periodic molecules. Based on this, Complex planar one-dimensional fuzzy periodic molecules - linear conjugated polyene (referred to as conjugated polyene) molecules were discussed in more detail. In addition to the fuzzy translation transform, here also involves the fuzzy spiral rotation and slippage reflection Etc. Moreover, some other fuzzy point-symmetric transformations are also discussed.It is often related to the fuzzy symmetry features of some spatially symmetric transformations for the symmetry features caused by the change of point symmetry elements.For the molecular orbitals, Fuzzy membership function of symmetric transform, the irreducible representation of the component is analyzed, and the correlation between some properties of these molecules and their fuzzy symmetry features is discussed.