Synthesis and crystal structure of N-(1-phenyl-3-methyl-4-benzal-pyrazolone-5)- N′-salicylidene hydrazine

A novel Schiff base compound, N-(1-phenyl-3-methyl-4-benzal-pyrazolone-5)-salicylidene hydrazine (PMBP-SAH), has been synthesized and characterized by X-ray diffraction: monoclinic, space group C2/c with a = 21.796(5) Å, b = 18.370(3) Å, c = 20.843(3) Å, = 95.440(10)°, V = 8308(3) ų, and Z = 16. The title compound contains two kinds of tautomers: the red compound is the keto form and the other is the enol form. Changes in color are due to the isomerization of the enol and keto forms by the intramolecular proton transfer.     

非线性特征值问题正解的存在性

证明了四阶边值问题y(4) =λα( x) f ( y( x) ) ,　 0 0且充分小时正解的存在性 .其中 ,α:[0 ,1 ]→ R连续 ,f ( 0 ) >0 .本文的工具是L eray- Schauder不动点定理 [4] .     

In-situ study of martensitic transformation and nucleation, propagation of crack in CuNiAl shape memory alloy

The stress-induced martensitic transformation and its relation with crack nucleation and propagation in CuNiAl shape memory alloy were investigated through in-situ tensile tests by SEM and TEM. The results indicated that the stress concentration ahead of the crack tip could induce formation of stacking faults and different types of martensites. TEM observations showed that the martensites could transform from one type to another and even reversely to the parent during loading. The microcracks nucleated along the martensite/parent interface and intersection between two martensites. When the crack propagated a certain distance, the stress concentration ahead of the crack tip was large enough to result in formation of slip bands, and in this condition the microcrack nucleated along slip bands more easily.     

Highly efficient iron‐catalyzed allylation of aromatic aldehydes with allyltriethoxysilane: one‐pot and practical synthesis of homoallyl ethers

FeCl₃ was found to be an active catalyst for the one‐pot allylation reaction of aromatic aldehydes with allyltriethoxysilane under mild and simple conditions, which resulted in the direct synthesis of homoallyl ethers with very high chemoselectivity and yields. Various types of homoallyl ethers were obtained in excellent yields (up to 99%). Copyright © 2008 John Wiley & Sons, Ltd.     

非对易torus上的新孤子解

利用在非对易可积torus(环)上的算子都有约化矩阵这一特点, 孤子解的求解问题可以化为求满足代数方程Q(M)=0的有限维矩阵解问题. 本文研究了当 矩阵M不可对角化时的情形, 分析这种情形,得到当势函数V(\phi)具有三阶以上的极值点时, 有限维矩阵方程V′(M)=0存在不可对角化的矩阵解. 研究了这种解的一般形式, 并通过kq表象, 构造了非对易整环上以上述矩阵解为约化矩阵 的新孤子解. 根据这种构造方法, 可以得到非对易orbifold上的新孤子解.     

CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS

Considering the Julia set J（Tλ） of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ（Tλ） 〉 1 and discussed the continuity of J（Tλ） in Hausdorff topology for λ∈R.     

On the Involutive Solutions of Solition Hierarchy

ＯｎｔｈｅＩｎｖｏｌｕｔｉｖｅＳｏｌｕｔｉｏｎｓｏｆＳｏｌｉｔｉｏｎＨｉｅｒａｒｃｈｙ乔志军ＯｎｔｈｅＩｎｖｏｌｕｔｉｖｅＳｏｌｕｔｉｏｎｓｏｆＳｏｌｉｔｉｏｎＨｉｅｒａｒｃｈｙ￥ＱｉａｏＺｈｉｊｕｎ（Ｄｅｐｔ．ｏｆＭａｔｈ，ＬｉａｏｎｉｇｎＵｎｉｖ...     

Mg3N2和Mg3B2N4触媒的研究

 本文由实验确定了常压下合成的Mg₃B₂N₄触媒和Mg₃N₂-BN体系在高温高压下都转变成相同的高压相Mg₃B₂N₄。本文还讨论了Mg₃B₂N₄和Mg₃N₂触媒的异同。认为用常压合成的Mg₃B₂N₄作为初始触媒对于合成立方氮化硼是有利的。     

Purity determination of yunaconitine reference standard using HPLC with experimental design and response surface optimization

Experimental design and response surface methodology have been used for the development of the stability‐indicating HPLC method for the purity determination of yunaconitine reference standard. Significant factors including the contents of ACN, perchloric acid, triethylamine (TEA), and column temperature were optimized using a Box–Behnken design. A mixture of crude yunaconitine extract and degradation solutions of yunaconitine under stress conditions was chromatogramed. The normalized peak area of total impurities, the retention time of yunaconitine, and the resolutions between yunaconitine and its adjacent peaks were selected as optimization criteria. Derringer desirability function of the multicriteria and the tested factors were used to establish 3‐D response surfaces. The optimal condition was achieved with a mobile phase of ACN/water (30:70, containing 0.125% perchloric acid and 1.0% TEA) at a column temperature of 37.5°C. The method was validated and shown comparable to that of phase solubility analysis. As a result, the newly developed method can be used to determine the chromatographic purity and stability of the yunaconitine reference standard.