Synthesis,Crystal Structure and Biological Activity of 2-（Anthracen-9-yl）-5-p-tolyl-1,3,4-oxadiazole

A novel compound,2-(anthracen-9-yl)-5-p-tolyl-1,3,4-oxadiazole(C23H16N2O),has been synthesized by the condensation of 4-methylbenzohydrazide and anthracene-9-carbaldehyde in an ethanol solution with chloramine-T.The compound was characterized by 1H-NMR,13C-NMR,MS and single-crystal X-ray diffraction.The crystal belongs to the triclinic system,space group P with a = 7.7817(4),b = 8.8544(5),c = 12.4726(8) ,β = 92.8520(10)°,Z = 2,V = 826.58(8) 3,Dc = 1.352 g/cm3,Mr = 336.38,λ(MoKα) = 0.71073 ,μ = 0.084 mm-1,F(000) = 352,R = 0.0381 and wR = 0.1099.The dihedral angle between anthracene skeleton and phenyl ring is 64.19°.A total of 6354 unique reflections were collected,of which 3172 with I > 2σ(I) were observed.X-ray analysis indicated an offset face-to-face π-π stacking interaction between anthracene skeletons and an offset face-to-face π-π stacking interaction between phenyl ring planes.The novel compound molecules are connected through the offset face-to-face π-π stacking interactions to generate a three-dimensional network.The preliminary bioassay results showed that the novel compound exhibited significant insect growth inhibitory activity against Spodoptera litura Fabricius larvae.     

局部流代数和可微分变换群的表示

本文给出广义函数空间上关于可微分变换群拟不变测度的Radon-Nikodym导数一个基本解析表达式.并且给出用这个表达式来求一类局部流代数表示的方法.     

关于杨-米尔斯场的场强和规范势

本文较详细地研究了未量子化杨-米尔斯场的场强和外源能决定规范势到什么程度。给出了一些由场强、外源唯一地决定规范势的条件;指出在这种情况下无需通过解偏微分方程就可由场强和源通过解线代数方程而决定规范势。在非唯一决定情况下,给出规范势的结构;又给出了无源场方程一些类型的新的特解。指出即使在无源的情况下,相应于同一场强有不同规范势不能通过任何规范变换把一个变到另一个。