The solvability conditions for inverse eigenproblem of symmetric and anti‐persymmetric matrices and its approximation

The problem of generating a matrix A with specified eigen‐pair, where A is a symmetric and anti‐persymmetric matrix, is presented. An existence theorem is given and proved. A general expression of such a matrix is provided. We denote the set of such matrices by ??????_Eⁿ. The optimal approximation problem associated with ??????_Eⁿ is discussed, that is: to find the nearest matrix to a given matrix A* by A∈??????_Eⁿ. The existence and uniqueness of the optimal approximation problem is proved and the expression is provided for this nearest matrix. Copyright © 2002 John Wiley & Sons, Ltd.     

矩阵方程（A^TXA，B^TXB=（C，D）的反对称解及其最佳逼近

本利用矩阵对的标准相关分解，得到了矩阵方程(A^TXB，B^TXB)=(C，D)反对称解存在的充分必要条件及通解表达式，同时给出了解关于已知矩阵的最佳逼近．     

稀土金属硼氢化物的研究(Ⅸ)——N,N''''-双(邻羟基苯叉)-1,3-丙二胺合稀土(Ⅲ)十氢十硼酸盐的合成

我们曾报道过含闭式氢硼駿根的二齿配体的稀土螯合物的合成及性质。为了解不同配体的稀土配合物在结构及性质上的差异,又合成了四齿(ONNO)配体N,N′-双(邻羟基苯叉)-1,3-丙二胺(salpr),并通过两种方法(模板合成法及配体合成法)合成了稀土配合物的闭式十氢十硼酸盐。化合物均为黄色粉末固体,室温下它们对光、空气、潮汽均稳定。     

化学反应的选择性和金属有机化学

本文是对旨在提高合成效率的化学反应选择性和金属有机化学关系的综述,按金属有机化合物的基元反应进行讨论。     

Highly regioselective construction of spirocycles via phosphine-catalyzed [3 + 2]-cycloaddition

A direct entry to spirocycles with low to moderate regioselectivity was achieved by triphenylphosphine-catalyzed [3 + 2]-cycloaddition of active exo-methylenecycles (1) and ethyl 2,3-butadienoate (2). The regioselectivity of the reaction was greatly improved by using the bulky tert-butyl ester of the 2,3-butadienoate (5). The regioselectivity of the reaction was further enhanced by using the tert-butyl 2-butynoate as the substrate. This protocol provided an efficient entry to the skeleton of spirocarbocycles, especially spiro[4.n]alkanes.     

Analytical time-dependent distributions for two common signaling systems

The chemical master equation (CME) in principle provides a method for quantifying the probabilistic behavior of any reaction network including signaling networks with time-varying reaction rates, but solving this equation is a great challenge. Here, we apply the Doi–Peliti formalism combined with both the Wei–Norman method and Lie algebra to analytically solve the CME. When this method is applied to two common signaling modules with time-varying reaction rates: a reversible binding motif and an irreversible modification motif, we successfully derive the analytical transient distribution for each motif, including the time-dependent joint and marginal distributions for all the reactive species. The stochastic simulations confirm the correctness of our analytical results. The method proposed here has broad applications in finding the time-evolutional distributions of biochemical networks with time-varying reaction rates.     

Palladium(II)-catalyzed tandem annulation reaction of o-alkynylbenzoates with methyl vinyl ketone for the synthesis of isocoumarins

A palladium(II)-catalyzed highly regioselective tandem reactions of o-alkynylbenzoates with methyl vinyl ketone for the synthesis of isocoumarins was developed. It is a convenient, mild and environmentally benign reaction with moderate to high yield. The reaction is initiated by the Pd(II) species and regenerate the Pd(II) species to complete the catalytic cycle without the necessity of a redox system.     

N,N-二乙基二硫代氨基甲酸钠与不同桥连的半胱氨酸钼络合物的配位体交换反应

双-μ-氧代-(1),μ-氧代-μ-硫代-(2),双-μ-硫代一双(半胱氨酸钼)(3)和N,N-二乙基二硫代氨基甲酸钠能进行配位体交换反应,由于不同原子所成桥的稳定性不同,生成了不同的产物。     

固相萃取-毛细管液相色谱测定食品和水样中有机磷和氨基甲酸酯类杀虫剂残留

采用乙腈提取、固相萃取（SPE）富集浓缩技术结合自行研制开发的毛细管液相色谱（CLC）仪,同时分离测定了食品和水样中1种有机磷和3种氨基甲酸酯类杀虫剂残留。对影响SPE效率和CLC分离检测的各类因素进行了优化,包括固相萃取柱种类、样品pH、洗脱剂种类和体积、上样速率、盐效应、上样体积、检测波长、流动相种类和比例等。结果表明,4种杀虫剂在6 min内达到完全分离,检出限为0.35~1.20 μg/kg,定量限为1.17~4.00 μg/kg。使用该SPE-CLC法对西红柿、黄瓜、苹果样品和自来水、湖水水样进行加标回收测定,得到食品中加标回收率为72.41%~107.15%,相对标准偏差≤8.12%;水样中加标回收率为71.45%~109.25%,相对标准偏差≤9.28%。该法能够满足农药多残留分析要求。