Fuzzy ta/2 symmetries of straight chain conjugate polyene molecules  

作　　者：LI Yun ZHAO XueZhuang XU XiuFang SHANG ZhenFeng ZHOU Zhen CAI ZunSheng WANG GuiChang LI RuiFang 

机构地区：[1]College of Chemistry,Nankai University,Tianjin 300071,China

出　　处：《Science China Chemistry》2009年第11期1892-1910,共19页中国科学（化学英文版）

摘　　要：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.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.

关 键 词：CONJUGATE POLYENE one-dimensional FUZZY periodic transformation the MEMBERSHIP function IRREDUCIBLE representation component 

分 类 号：O159[理学—数学] O561[理学—基础数学]