PW11Cu/TiO2膜光催化剂的制备及可见光催化性能

以PW₁₁Cu为可见光活性组分,TiO₂为载体结构组分,采用溶胶-凝胶法制备了PW₁₁Cu/TiO₂复合膜可见光催化剂,并用UV-Vis DRS、IR、Raman、XRD、SEM、TEM等手段对催化剂的光吸收性质、化学组成、晶相、表面结构和形貌进行了表征,同时,以模型污染物RhB的可见光降解为探针评估了它的光催化活性,考察了膜处理温度、PW₁₁Cu含量和溶液酸性对催化活性的影响,最后,通过催化剂循环降解RhB试验评估了PW₁₁Cu/TiO₂膜的稳定性。实验结果表明,PW₁₁Cu/TiO₂膜对可见光有明显吸收,低温(100℃)处理的膜为无定形态,高温(500℃)处理的膜为多晶态;低温处理的膜具有较高的可见光催化活性,用于RhB的可见光催化降解,在中性条件下反应80 min,RhB的降解率为100%,TOC去除达32%(4 h);提高溶液酸性有利于催化剂活性的提高,在pH=2.5的条件下,达到100%的RhB降解仅需30 min。在本实验条件下,PW₁₁Cu的最佳剂量是3.0 g。经过10次循环降解RhB,催化剂的光催化活性仍保留约90%。     

亲水/反相二维制备液相色谱法分离纯化络石藤中的化学成分

建立了亲水/反相二维制备液相色谱(Pre-2D-HILIC/RPLC)分离纯化络石藤中化学成分的分析方法。络石藤药材经醇提、活性炭脱色后用反相固相萃取柱除去色素和强极性物质,最终得到干燥的浅黄色粉末。一维亲水色谱选择Click XIon色谱柱(250 mm×20 mm,10μm)作为固定相,水和乙腈作为流动相,进行梯度洗脱,以紫外触发模式收集馏分,共得到15个组分。二维反相色谱选择C18色谱柱(250 mm×20 mm,5μm)作为固定相,水和乙腈作为流动相,进行梯度洗脱,最终得到14个高纯度化合物,并通过质谱和核磁共振对其进行确认。实验结果表明,该法具有良好的正交选择性,可以有效提高分离度和峰容量,对于分离络石藤等复杂样品具有重要意义。     

一对手性铕（Ⅲ）配合物的合成和铁电性质

合成并表征了一对蒎烯修饰的稀土铕（Ⅲ）配合物Eu（TTA）₃L_1a（1a）和Eu（TTA）₃L_1b（1b）（TTA=2-噻吩甲酰三氟丙酮,L_1a=（+）-4,5-双蒎烯-2,2''-联吡啶,L_1b=（-）-4,5-双蒎烯-2,2''-联吡啶）。化合物的手性特征通过X射线单晶结构和圆二色光谱进行了表征。配合物1a结晶于极性空间群P1,中心Eu（Ⅲ）离子呈现出严重扭曲的四方反棱柱体的配位环境。鉴于非中心对称结构的特性,配合物1a也表现出明显的铁电性质。     

Multilinear Calderón-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability

In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered.     

所有极大子群都为SMSN-群的有限群

若有限群G的每个2-极大子群在G中次正规,则称G为SMSN-群.本文研究了有限群G的每个真子群是SMSN-群但G本身不是SMSN-群的结构,利用局部分析的方法,获得了这类群的完整分类,推广了有限群结构理论的一些成果.     

捕食者和食饵均带有扩散的随机捕食-食饵模型动力学分析

考虑了斑块环境下捕食者种群和食饵种群分别在n个斑块扩散的随机捕食 食饵模型.利用Lyapunov函数法证明了对任意给定的初始值,随机系统全局正解的存在唯一性,并对其进行了有界性分析.此外给出了食饵种群及整个系统灭绝的充分条件.最后通过数值模拟验证了所得理论的正确性.     

Crystal structure of β-cyclodextrin-4-chlorobenzoic acid complex:Unusual C-Cl…π interaction between 4-chlorobenzoic acids in β-cyclodextrin dimer

The inclusion complex ofβ-cyclodextrin（β-CD） with 4-chlorobenzoic acid was synthesized and its crystal structure was determined by single crystal X-ray diffraction under cryogenic condition.The complex contains twoβ-CDs,two 4-chlorobenzoic acids and twenty-nine water molecules in the asymmetric unit,and can be formulated as 2(C₄₂H₇₀O₃₅)·2（C₇H₅O₂Cl）·29（H₂O）.In the crystal lattice,twoβ-CDs form a face-to-face dimer jointed together through hydrogen bonding between the secondary hydroxyl groups ofβ-CDs.Two 4-chlorobenzoic acid molecules which contact by C-Cl…πinteractions are included in theβ-CD dimer cavity.Theβ-CD dimers are arranged in brickwork-like pattern along the crystallographic a-axis.The effect of guest molecule length on the inclusion geometry was discussed by comparative study of someβ-CD complexes containing similar guests.     

Multipliers,covers, and stem extensions for Lie superalgebras

Suppose that the underlying field is of characteristic different from 2 and 3. We first prove that the so-called stem deformations of a free presentation of a finite-dimensional Lie superalgebra L exhaust all the maximal stem extensions of L; up to equivalence of extensions. Then we prove that multipliers and covers always exist for a Lie superalgebra and they are unique up to superalgebra isomorphisms. Finally, we describe the multipliers, covers, and maximal stem extensions of Heisenberg superalgebras and model filiform Lie superalgebras.     

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??Coherent systems are very important in reliability,survival analysis and other life sciences. In this paper, we consider the number of working components in an $(n-k+1)$-out-of-$n$ system, given that at least $(n-m+1)$ components are working at time $t$, and the system has failed at time $t$. In this condition, we compute the probability that there are exactly $i$ working components. First the reliability and several stochastic properties are obtained. Furthermore, we extend the results to general coherent systems with absolutely continuous and exchangeable components.     

求解低秩矩阵填充的改进的交替最速下降法

矩阵填充是指利用矩阵的低秩特性而由部分观测元素恢复出原矩阵,在推荐系统、信号处理、医学成像、机器学习等领域有着广泛的应用。采用精确线搜索的交替最速下降法由于每次迭代计算量小因而对大规模问题的求解非常有效。本文在其基础上采用分离地精确线搜索,可使得每次迭代下降更多但计算量相同,从而可望进一步提高计算效率。本文分析了新算法的收敛性。数值结果也表明所提出的算法更加有效。