Syntheses, Crystal Structures and Properties of Two Supramolecules Assembled from Weak Interactions

Two complexes, [Cu2(Htdb)4(H2O)2] (1) and [Cd(bipy)2(Hmcmbc)2] (2) (H2tdb = 2,2-thiodibenzoic acid, H2mcmbc = m-(carboxyl-methyloxy)-benzenecarboxylic acid, bipy = 4,4'-bipyridine), have been prepared, and were characterized by elemental analysis, FT-IR and single-crystal X-ray diffraction. Structures indicate that complex 1 is a single molecule, and 2 is a one-dimensional chain. Their two-and three-dimensional frameworks are constructed through hydrogen bonding, π…π or C–H…π stacking, and such other weak interactions. The cyclic voltametric behavior of complex 1 and luminescence property of complex 2 were investigated. 1 belongs to the triclinic system, space group P with a = 7.8607(6), b = 11.7619(9), c = 15.3481(12) , α = 109.3670(10), β = 92.4420(10), γ = 92.0450(10)°, V = 1335.65(18) 3, Mr = 1256.26, Dc = 1.5619(2) g/cm3, F(000) = 642, μ = 1.029 mm–1, Z = 1, the final R = 0.0289 and wR = 0.0763 for 5199 observed reflections with I > 2σ(I). Complex 2 crystallizes in triclinic, space group P with a = 9.6378(10), b = 9.7508(10), c = 19.055(2) , α = 88.7020(10), β = 80.5260(10), γ = 69.2000(10)o, V = 1649.9(3) 3, Mr = 815.07, Dc = 1.641 g/cm3, μ = 0.732 mm-1, F(000) = 828, Z = 2, the final R = 0.0511 and wR = 0.1149 for 4729 observed reflections (I > 2σ(I)).     

Synthesis and Crystal Structure of the Diiron Azadithiolate Complex [（μ-SCH_2）_2NPh]Fe_2（CO）5（Ph_2PCH_2PPh_2）

Reaction of [(μ-SCH2)2NPh]Fe2(CO)6 with Ph2PCH2PPh2 in the presence of Me3NO·2H2O gave the title complex [(μ-SCH2)2NPh]Fe2(CO)5(Ph2PCH2PPh2)(1)in 78% yield.The new complex 1 was characterized by elemental analysis,spectroscopy and X-ray crys-tallography.It crystallizes in triclinic,space group P1 with a = 10.832(2),b = 12.003(2),c = 15.579(3),V = 1785.6(6)3,Z = 2,C32H26Fe2NO5PS2,Mr = 819.40,Dc = 1.524 g/cm3,μ(MoKα)= 1.064 mm-1,F(000)= 840,T = 113(2)K,the final R = 0.0543 and wR = 0.1218 for 6203 observed reflections(I > 2σ(I)).The Ph2PCH2PPh2 ligand resides in an axial position of the square-pyramidal coordination sphere of the Fe atom and trans to the benzene ring in order to reduce the steric repulsion between Ph2PCH2PPh2 and the benzene ring.     

Synthesis and Crystal Structure of [K（2,2,2-crypt）]_3Sb_（11）

The title complex [K(2,2,2-crypt)]3Sb11 has been prepared by the reaction of K3Cd2Sb with Cu-C≡CH in ethylenediamine in the presence of 2,2,2-crypt, and characterized by low temperature X-ray structure analysis. The crystal is of orthorhombic system, space group C2221 with a = 15.475(3), b = 22.807(5), c = 24.834(6), V = 8765(3)3, Dc = 1.960 g/cm3, C54H108K3N6O18Sb11, Mr = 2586.01, F(000) = 4944, μ = 3.531 mm-1, Z = 4, R = 0.0442 and wR = 0.1053 for 10265 observed reflections (I > 2σ(I)). The "naked" Sb113- anion is stable due to the completely sequestered alkali metal cations through ion-ion interactions.     

变刚度梁柱理论及其应用

为解决井斜控制实践中存在的不等截面尺寸梁柱问题, 讨论了典型的变刚度纵横弯曲梁力学 模型. 根据变刚度梁柱变形的挠曲线微分方程和边界条件及连续条件, 得到了梁柱变形和端 部转角的解析计算式, 进而应用梁柱理论叠加原理可解决有集中力作用下的井下控制工具和 带变径稳定器的底部钻具组合(BHA)受力分析问题. 变刚度梁柱理论在BHA力学分析中得到了 成功应用, 为井下控制工具设计、钻具组合优化及井斜控制提供了理论依据.     

一类四阶变系数振动问题的复合解

以一类斜拉索模型为背景,讨论了一类四阶变系数振动问题.用匹配法导出了方程的复合解,从而较简捷地得出了一类斜拉索的振幅的渐近表达式,并为解决相关类型的变系数问题提供了一种有效的方法.     

两类N=2超共形代数上的超双导子和超交换映射

确定广义Topological N=2超共形代数和Twisted N=2超共形代数上的超斜对称双导子.证明在这两类超代数上的所有超双导子都是超双内导子.应用此结论,得到在广义Topological N=2超共形代数上的线性超交换映射是非标准的,而Twisted N=2超共形代数上的线性超交换映射是标准的.     

Anti de Sitter空间中Lorentzian超曲面的φ-伪球高斯映射

利用Legendrian对偶定理,证明了Anti de Sitter空间中的Lorentzian超曲面存在φ-伪球高斯映射,从而初步建立了Anti de Sitter空间中Lorentzian超曲面的斜几何.进一步的,证明了斜几何的基本定理,完成了φ~±-全脐超曲面的分类并给出了Lorentzian超曲面的φ~±-Anti de Sitter Weingarten型公式.     

斜波压缩下HMX晶体的弹塑性行为

开展了（010）、（011）晶向HMX晶体的斜波压缩实验,获得了约15 GPa压力下的速度响应剖面。实验结果表明,HMX单晶存在明显弹塑性转变行为,且速度波形有下降趋势,这是材料的黏性效应导致,材料的弹性极限随着样品厚度增加而变化,不同晶向的材料动力学特性存在差异。结合Hobenemser-Prager黏弹塑性本构关系和三阶Birch-Murnaghan物态方程开展了HMX晶体斜波压缩物理过程的数值模拟,计算结果可以很好地描述HMX晶体的弹塑性转变这一物理过程。     

双曲型方程具有奇性斜导数的混合问题<英>

本文讨论了2m阶双曲型方程具有奇性斜导数的边值问题。在边界奇点(即不满足Lopatinsky边界条件的点)子流形的一定假设下,证明了所论问题在Sobolev空间H~(s,s)(Q)中解的存在性和唯一性,从而将二阶双曲方程的相应问题的已有的结果(例如[1]、[4—6])推广到了高维的情形。     

凝视热成像系统MTF斜缝法测试技术研究

凝视热成像系统MTF测试不同于扫描系统，必须有解决其空间采样的混淆特性。在传统的线扩展函数法基础上发展起来的方法主要有：缝扫描法、最值法、斜斜法。实际使用中，前两种方法需要精确的定位技术，而斜缝法的数据处理较复杂。本文主要论述斜缝测试法，分析其工作原理，介绍其数据处理技术。