摘要
对一些反式-反式共轭多烯及其被单原子取代的分子的模糊对称性进行了探讨.分析了有关分子轨道的模糊对称变换的隶属函数及其所含的不可约表示成分.共轭多烯及其相应的取代物经空间群对称变换后,其模糊对称性特征非常相似,而关于点群变换后,其模糊对称性特征变化比较明显.此外,还分析了这些分子轨道的类似—维晶体能带的特点.
The fuzzy symmetries of the substitutes of polyene molecules with the number of carbon atoms from ten to forty are studied.The fuzzy parallel transformation symmetries are discussed in detail,and some fuzzy point symmetry transformations are also referred.The membership functions and irreducible representation components of the fuzzy symmetry transformations of the molecular orbital are analyzed.In addition,the energy bands of the molecules and the correlation between the electrical conductivity and the fuzzy symmetry characters are probed into.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第2期80-89,共10页
Acta Scientiarum Naturalium Universitatis Nankaiensis
关键词
共轭多烯及其取代物
一维模糊空间周期性及点对称性
隶属函数
不可约表示成分
conjugate polyene and relative substitutes
one-dimensional fuzzy space periodicity and point symmetry
membership function
irreducible representation component
