Three different structural lead(II) polymers constructed from newly designed chlorophenyl-imidazole dicarboxylate ligands

A 1-D coordination polymer, {[Pb(o-ClPhH₂IDC)₂]·H₂O}_n (o-ClPhH₃IDC = 2-(2-chlorophenyl)-1H-imidazole-4,5-dicarboxylic acid) (1), a 2-D coordination polymer, [Pb₃(p-ClPhIDC)₂(H₂O)]_n (p-ClPhH₃IDC = 2-(4-chlorophenyl)-1H-imidazole-4,5-dicarboxylic acid) (2), and a 3-D polymer, [Pb(p-ClPhH₂IDC)₂]_n (3), have been obtained solvothermally and structurally characterized by elemental analyses, IR, and single-crystal X-ray diffraction. Although they were prepared with similar ligands and Pb²⁺, polymers 1–3 show distinct structures. The X-ray powder diffraction and thermal properties of the polymers have been investigated. The influence of the reaction conditions to the final products and coordination of the organic ligands are discussed.     

Synthesis,Crystal Structure and Magnetic Property of [Mn2(mal)2(H2O)2(µ2-hmt)] n : A Novel Three-Dimensional Network Self-Assembled by hmt (hmt = Hexamethylenetetramine and mal = Malonate)

A novel three-dimensional coordination polymer [Mn₂(mal)₂(H₂O)₂(μ₂-hmt)] _n (hmt = hexamethylenetetramine, and mal = malonate) was synthesized and characterized by elemental analysis, crystal structure, IR, TG-DTA and magnetic susceptibility. The compound [Mn₂(mal)₂(H₂O)₂(μ₂-hmt)] _n crystallizes in the orthorhombic system, space group 12 mm, with a = 7.1059(11), b = 7.6986(6), c = 15.9824(13) Å, and Z = 2. Mn(II) ion has octahedral geometry coordinated by four oxygen atoms from three malonate, one oxygen atom of water and one nitrogen atom of hmt ligand. The two oxygen atoms of each malonate coordinate to the same Mn(II) ion and the other two oxygen atoms connect to two adjacent Mn(II) ions to form an infinite layer. These layers are bridged by the μ₂-hmt ligands to form a three-dimensional structure. The magnetic susceptibility data show that there is an antiferromagnetic exchange interaction in the title compound.     

伪度量空间的紧致性分析

在紧的伪度量空间（X,d）上,讨论了X的任意开覆盖存在Lebesgve数这一问题,总结了实空间和拓扑空间中紧致性的相关结论,并在伪度量空间中作了一些简单的推广应用．     

Cu+与N-[2-羟基-1(S)-甲基]-N-甲基甘氨酸间的C-H…Cu(Ⅰ)抓氢键

采用密度泛函B3LYP(Becke, three-parameter, Lee-Yang-Parr)/6-311G**理论水平研究了Cu+和Cu2+离子与N-[2-羟基-1(S)-甲基]-N-甲基甘氨酸根负离子配体（PT）形成的配合物的结构,重点讨论了配合物中的C-H Cu抓氢键结构. 计算表明, 当单个配体与Cu+结合时,配合物PT•••Cu(Ⅰ)结构中有C-H Cu抓氢键形成,C-H键伸缩振动频率显著红移,键长显著增大而被活化, 配体为三齿配体;当两个配体与Cu2+结合时,配合物PT•••Cu(Ⅱ)不存在C-H Cu抓氢键结构,配体为双齿配体. NBO及AIM理论分析均表明C-H Cu抓氢键属于一种较强的基团间相互作用,在强度和电子行为上与氢键弱相互作用有本质不同.     

Minimizing the sum of a convex function and a specially structured nonconvex function

A lineraly constrained global optimization problem is studied, where the objective function is the saum of a convex function g(x)a nd a nonconvex function f(x) satisfying a rank two condition. Roughly speaking, the latter means that all the nonconvexity of f(x) is concentrated on a linear manifold of dimension 2. A solution method based on exploiting this special structure is prop     

Tighter Bounds for the Gap and Non-IRUP Constructions in the One-dimensional Cutting Stock Problem

The one-dimensional cutting stock problem is investigated with respect to the difference between the optimal function values of the integer programming problem and its continuous relaxation. A tighter bound for this gap is presented, followed by some non-IRUP constructions. Finally, instances with gap 7/6 are constructed, the largest gap known so far.     

海藻酸钠/聚乳酸半互穿网络水凝胶的制备及溶胀性能研究

为了提高海藻酸钠对疏水性药物的负载量和缓释作用,将海藻酸钠与聚乳酸混合后分散于NaCl/CaCl2的混合溶液中制成半互穿网络水凝胶,对海藻酸钠进行了疏水改性,对该凝胶的溶胀度及pH敏感性进行了测试,进行了药物布洛芬包埋释放实验。考察了不同相对分子质量和用量的聚乳酸对药物释放的影响。结果表明,聚乳酸疏水改性后的海藻酸钠凝胶微球对药物布洛芬的负载量提高,具有较好的缓释作用。     

对烷氧基苯基苯并卟啉的新法合成及性能研究

采用先接链后合环密闭熔融新方法，合成了５个系列２５种对烷氧基苯基苯并卟啉，通过紫外，红外，质谱和元素分析等手段进行了表征，初步研究了１０种新型卟啉的性能。     

两种苯并咪唑超分子化合物的水热合成、晶体结构及光谱学性质

利用水热反应合成了两种超分子化合物1,2-二（2-苯并咪唑基）乙烷硫酸盐[（C16H16N4）.（HSO4）2.（H2O）2]（1）和5-（2-苯并咪唑基）-1,3-苯二甲酸[C15H10N2O4]（2）。通过元素分析、红外光谱及紫外光谱对标题化合物进行了表征,并用单晶X射线衍射测定了其晶体结构。两个化合物均属于单斜晶系,P21/c空间群,超分子化合物（1）的晶格参数：Mr=494.48,a=0.7089（2）nm,b=1.7922（5）nm,c=0.8584（2）nm,β=106.250（4）°,V=1.0471（5）nm3,Z=2,Dc=1.562g/cm3,F（000）=512,μ=0.318mm-1,GOF=1.046,R1=0.0518,wR2=0.1710;超分子化合物（2）的晶格参数：Mr=282.23,a=1.4345（3）nm,b=1.6748（4）nm,c=1.0628（2）nm,β=93.364（4）°,V=2.5490（10）nm3,Z=8,Dc=1.460g/cm3,F（000）=1152,μ=0.109mm-1,GOF=1.098,R1=0.0473,wR2=0.1341。两个化合物分子间通过氢键及π-π堆积作用相互形成三维网状超分子结构。