Rigidity of complete manifolds with parallel Cotton tensor

The aim of this paper is to show some rigidity results for complete Riemannian manifolds with parallel Cotton tensor. In particular, we prove that any compact manifold of dimension \(n\ge 3\) with parallel Cotton tensor and positive constant scalar curvature is isometric to a finite quotient of \({\mathbb {S}}^n\) under a pointwise or integral pinching condition. Moreover, a rigidity theorem for stochastically complete manifolds with parallel Cotton tensor is also given. The proofs rely mainly on curvature elliptic estimates and the weak maximum principle.     

基于EV模型ND样本加权和的相合性

本文研究变系数EV模型的ND样本加权和的相合性问题.利用ND序列的Bernstein型不等式和截尾的方法,获得了ND样本加权和sum from i=1 to n(W_(ni)(t_0)Y_i)的强、弱相合性,推广了独立随机变量加权和的相合性.     

Synthesis,Crystal Structure and Properties of a New Cd(Ⅱ) Complex Based on Mixed 5-Hydroxy-isophthalic Acid and 1-(1H-imidazol-4-yl)-3-(4H-tetrazol-5-yl)benzene Ligands

A new coordination polymer [Cd2(5-IPA)(HL)2(H2O)2]·4H2O(1) was prepared under hydrothermal conditions based on 5-hydroxy-isophthalic acid(5-H2IPA) with multi-N-donor ligand 1-(1H-imidazol-4-yl)-3-(4H-tetrazol-5-yl)benzene(H2L). The complex was characterized by IR spectroscopy, TGA, X-ray powder and single-crystal diffraction. It crystallizes in the monoclinic system, space group C2/c with a = 23.6291(18), b = 9.9847(8), c = 17.7244(14) ?, β = 124.6180(10)?, V = 3441.4(5) ?3, Z = 4, C28H30N12O11Cd2, Mr = 935.44, Dc = 1.805 g/cm3, μ = 1.313 mm-1, S = 1.055, F(000) = 1864, the final R = 0.049 and w R = 0.1315 for 2985 observed reflections(I 2σ(I)). The central metal Cd(II) atoms with octahedral coordination geometry are six-coordinated by three oxygen and three nitrogen atoms. The HL- ligands from the deprotonated H2 L connect Cd(II) atoms to form two-dimensional(2D) double-layer fes networks which are further pillared by 5-IPA2- ligands into a rare binodal(3, 4)-connected three-dimensional(3D) architecture with a(4·6·8)(4·62·83) fsc-3,4-C2/c topology. Solid state luminescent property and sorption property of 1 have been investigated.     

4-卤代苯甲酸铽配合物荧光性能的研究

以4-氯苯甲酸(4-ClBA)、4-溴苯甲酸(4-BrBA)和4-碘苯甲酸(4-IBA)为配体合成了三种4-卤代苯甲酸铽的稀土配合物Tb(4-ClBA)3,Tb(4-BrBA)3和Tb(4-IBA)3,紫外可见光吸收光谱表明,相同摩尔浓度的Tb(4-IBA)3的紫外吸收最强,Tb(4-BrBA)3的紫外吸收强度次之,Tb(4-ClBA)3的紫外吸收最弱,而荧光发射光谱表明,Tb(4-IBA)3和Tb(4-BrBA)3的荧光发射强度远小于Tb(4-ClBA)3的.从配体的结构及配体能级、稀土离子Tb3+能级、配体到稀土离子之间的能量传递等角度对该试验结果进行了分析探讨,结果表明苯甲酸对位的碘原子、溴原子和氯原子与苯环上的碳原子所形成的碳卤键热振动的不同是造成三种稀土配合物荧光强度差别较大的本质原因.     

基于蛋白构象变化研究pH值对茜素红与牛血清白蛋白相互作用的影响

利用光谱法和分子对接技术研究了不同pH值对牛血清白蛋白(BSA)与茜素红(ARS)键合作用的影响。pH值为4.0的酸性环境引起BSA天然紧缩构象逐渐发生去折叠,BSA的ⅡA区疏水空腔的展开降低了其与ARS的相互作用,键合常数Kb仅为3.39×104L·mol-1。而pH值大于等电点(pI 4.8)或呈现中性时,两者的键合作用增强,Kb增至3.16×106L·mol-1(pH 7.0)。而且,由于氢键和范德华力的键合作用力较强,BSA和ARS的相互作用受表面电荷影响较小,与理论模拟对接结果相吻合。     

4-(N-咔唑基)查尔酮的合成及其光学性质

4-N-咔唑基苯甲醛和苯乙酮经aldol反应合成了一种新型含咔唑基查尔酮——4-(N-咔唑基)查尔酮(2),其结构经1H NMR,IR,MS和元素分析表征。运用UV-Vis和单光子荧光光谱研究了2的光学性质。结果表明:2的λmax位于360 nm和320 nm附近;2在CH2Cl2和DMF中具有良好的荧光发射能力,λem位于520 nm。     

BiOI/Bi_2WO_6对甲基橙和苯酚的光催化降解及光催化机理(英文)

采用简单的沉积方法制备了不同碘化氧铋含量的BiOI/Bi2WO6光催化剂,通过X射线衍射(XRD)、扫描电子显微镜(SEM)、高分辨透射电子显微镜(HR-TEM)、紫外-可见漫反射光谱(UV-Vis DRS)和BET比表面积测量对其进行了表征。在紫外和可见光的照射下,使用甲基橙和苯酚的光催化降解评价了BiOI/Bi2WO6催化剂的光催化性能。结果表明:与商业P25和纯Bi2WO6相比,13.2%BiOI/Bi2WO6光催化剂具有更高的紫外和可见光催化性能。这明显增加的光催化活性主要归功于光生电子和空穴在Bi2WO6和BiOI界面上的有效转移,降低了电子-空穴对的复合。基于BiOI和Bi2WO6的能带结构,提出了光生载流子的一种转移过程。自由基清除剂的实验表明,·OH,h+,·O2-和H2O2,特别是h+,共同支配了甲基橙和苯酚的光催化降解过程。     

Influence of Gd doping on the absolute quantum efficiency and lifetime of EuxGd1-x（TTA）3phens

Absolute quantum yield （Ф） is one of the most important parameters to evaluate the potential of novel materials. Lanthanide complexes EuxGd1-x（TTA）3phens are synthesized with the ratio of Gd3＋ dopant concentration ranging from 10% to 90% to improve the absolute quantum yield. EuxGd1-x（TTA）3phens possess similar infrared and ultraviolet spectra, showing that they have similar molecular structures. The absolute emission quantum yields of EuxGd1-x（TTA）3phens are determined using a fluoromax-4 spectrofluorometer equipped with an integrating sphere. The fluorescence lifetimes of the EuxGd1-x（TTA）3phens are measured in the same experiment. It was found that both absolute quantum yields and fluorescence lifetimes of EuxGd1-x（TTA）3phens are of quasi-periodic variation with the change of the Gd3. dopant concentrations. The absolute quantum efficiency and fluorescence lifetime vary with respect to the Gd content in an opposite fashion, indicating that the rate of energy absorption by the EuxGd1-x（TTA）3phens and the conversion to light energy is critical for the absolute quantum efficiency. The radiative rate constant Kr and non-radiative rate constant Knr are calculated. The dependence of Kr and Knr on the Gd3＋ dopant concentrations is very similar to that of absolute quantum efficiency. The radiation rate constant Kr and absolute quantum efficiency have a linear relationship.     

Bi_(0.5)Na_(0.5)TiO_3的制备及光催化性能研究

以Bi(NO3)3·5H2O、Na OH、Ti(OC4H9)4为原料,采用水热法制备Bi0.5Na0.5Ti O3纳米光催化剂。用XRD、TEM表征了Bi0.5Na0.5Ti O3光催化剂的结构和形貌。以亚甲基蓝为模型污染物,考察了不同浓度的Na OH对Bi0.5Na0.5Ti O3晶体在紫外光和可见光照射下光催化活性的影响。通过荧光技术研究了Bi0.5Na0.5Ti O3光催化剂表面羟基自由基的生成,探究了清除剂对光催化降解污染物活性的影响。结果表明:Na OH的浓度对Bi0.5Na0.5Ti O3光催化剂的紫外光和可见光活性有很大的影响,当Na OH浓度为8mol·L-1时制备的Bi0.5Na0.5Ti O3晶体光催化活性最高,光照1h,亚甲基蓝的紫外及可见光催化降解率分别达到69.8%、53.4%,在光催化降解过程中·O2ˉ和·OH起主要作用,尤其是·O2-起了重要作用。