那格列奈的合成研究

报道了抗糖尿病新药那格列标的全合成及工艺改进。     

极限圆型Hamilton算子乘积的自伴性

本文讨论了极限圆型Hamilton算子乘积的自伴性,利用Calkin方法及奇异Hamilton系统自伴扩张的一般构造理论,给出了在极限圆型时判定Hamilton算子乘积自伴的一个充要条件.     

非线性不适定问题一种双循环的牛顿型迭代格式

本文研究非线性算子方程F(x)=y的解,结合最速下降法,Newton-Landweber迭代格式及正则化思想,在F满足适当的条件下,构造出新的双循环迭代格式。本文对格式的收敛性进行了严格论证,并估计出迭代格式的收敛精度。     

纳米CeO2吸附剂的制备及对六价铬的吸附性能

吸附法是去除水中重金属离子的重要方法,开发新型吸附剂一直是研究热点.利用浸渍法和水热法制备了片状和无定形的纳米CeO2吸附剂,探讨其对六价铬的吸附性能,分析pH、吸附时间、六价铬初始浓度等因素对其吸附性能的影响,并通过循环吸附实验考察纳米CeO2吸附剂的再生能力.结果表明:厚度30 nm、直径大小约为400 nm的片状CeO2吸附剂具有更强的吸附能力和更快的吸附速率,80 min时基本达到吸附平衡;两种吸附剂的最佳吸附pH为3;吸附动力学均符合伪二级动力学方程,Langmuir模型和Freundlich模型均能很好地拟合等温吸附过程,表明纳米CeO2对六价铬的吸附以单层吸附为主.片状CeO2四次吸附-解吸实验之后吸附率稍有下降,表明片状CeO2吸附剂有较好的再生能力,因而,该片状CeO2吸附剂适用于与酸性Cr(Ⅵ)废水的处理.     

具常数特征拟线性双曲型方程组Cauchy问题

考虑具常数特征拟线性双曲型方程,提出一个新的可化约方程组的方法,证明了具常特征方程组Cauchy问题经典解的整体存在性定理.同时构造一些例子说明一些有趣的现象.     

微波辅助快速制备2D/1D ZnIn2S4/TiO2 S型异质结及其光催化制氢性能

The threat and global concern of energy crises have significantly increased over the last two decades. Because solar light and water are abundant on earth, photocatalytic hydrogen evolution through water splitting has been considered as a promising route to produce green energy. Therefore, semiconductor photocatalysts play a key role in transforming sunlight and water to hydrogen energy. To date, various photocatalysts have been studied. Among them, TiO₂ has been extensively investigated because of its non-toxicity, high chemical stability, controllable morphology, and high photocatalytic activity. In particular, 1D TiO₂ nanofibers (NFs) have attracted increasing attention as effective photocatalysts because of their unique 1D electron transfer pathway, high adsorption capacity, and high photoinduced electron–hole pair transfer capability. However, TiO₂ NFs are considered as an inefficient photocatalyst for the hydrogen evolution reaction (HER) because of their disadvantages such as a large band gap (~3.2 eV) and fast recombination of photoinduced electron–hole pairs. Therefore, the development of a high-performance TiO₂ NF photocatalyst is required for efficient solar light conversion. In recent years, several strategies have been explored to improve the photocatalytic activity of TiO₂ NFs, including coupling with narrow-bandgap semiconductors (such as ZnIn₂S₄). Recently, microwave (MW)-assisted synthesis has been considered as an important strategy for the preparation of photocatalyst semiconductors because of its low cost, environment-friendliness, simplicity, and high reaction rate. Herein, to overcome the above-mentioned limiting properties of TiO₂ NFs, we report a 2D/1D ZnIn₂S₄/TiO₂ S-scheme heterojunction synthesized through a microwave (MW)-assisted process. Herein, the 2D/1D ZnIn₂S₄/TiO₂ S-scheme heterojunction was constructed rapidly by using in situ 2D ZnIn₂S₄nanosheets decorated on 1D TiO₂ NFs. The loading of ZnIn₂S₄ nanoplates on the TiO₂ NFs could be easily controlled by adjusting the molar ratios of ZnIn₂S₄ precursors to TiO₂ NFs. The photocatalytic activity of the as-prepared samples for water splitting under simulated solar light irradiation was assessed. The experimental results showed that the photocatalytic performance of the ZnIn₂S₄/TiO₂ composites was significantly improved, and the obtained ZnIn₂S₄/TiO₂ composites showed increased optical absorption. Under optimal conditions, the highest HER rate of the ZT-0.5 (molar ratio of ZnIn₂S₄/TiO₂= 0.5) sample was 8774 μmol·g^-1·h^-1, which is considerably higher than those of pure TiO₂ NFs (3312 μmol·g^-1·h^-1) and ZnIn₂S₄nanoplates (3114 μmol·g^-1·h^-1) by factors of 2.7 and 2.8, respectively. Based on the experimental data and Mott-Schottky analysis, a possible mechanism for the formation of the S-scheme heterojunction between ZnIn₂S₄ and TiO₂ was proposed to interpret the enhanced HER activity of the ZnIn₂S₄/TiO₂heterojunctionphotocatalysts.      

一个具最佳常数的复合核积分不等式

引入Γ-函数等特殊函数,利用权函数方法和实分析技巧,建立一个具最佳常数的复合核积分不等式.考虑了它的等价式,证明了它们的常数因子是最佳的,并通过取特殊的参数值,得到一些有意义的结果.     

关于Grunwald算子的多元推广

考虑R^2中三角域和多边形域上的Grunwald插值算子及其一种基于非负凸组合的有理变形，证明了两种插值的存在性和唯一性，给出了相应的逼近估计，且最后的逼近估计是精确的，从而给出了Grunwald算子非乘积型多元推广不分片和分片的两个范例。     

酞菁氧钛的合成及晶型转化

酞菁氧钛以联环己烷为溶剂，以邻苯二脂及四氯化钛直接反应生成。其优点是便于分离及纯化。同时对各晶型的获得及晶型间的相互转化进行了研究，并以Ｘ－射线粉末衍射及ＦＴ－ＩＲ进行了表征，并记录了不同晶型的酞菁氧钛在室温硫化硅橡胶中的吸收光谱。     

逆极限空间的伪轨跟踪性

证明了对于由{xi,φi,fi}∞i=l生成的逆极限系统(X∞,f∞),如果每个fi具有伪轨跟踪性,则诱导映射f∞也具有伪轨跟踪性.并构造了一个例子说明它的逆命题不成立.还证明了零维紧致度量群的自同构拓扑共轭于一族有限型子转移生成的逆极限系统.