Lower-dimensional linear complementarity problem approaches to the solution of a bi-obstacle problem

A globally convergent Broyden-like method for solving a bi-obstacle problem is proposed based on its equivalent lower-dimensional linear complementarity problem. A suitable line search technique is introduced here. The global and superlinear convergence of the method is verified under appropriate assumptions.     

双障碍问题阻尼牛顿法的二阶收敛性

本文研究由双障碍问题导出的一类B可微函数的性质，并在一定条件下证明了求解相应的B可微方程阻尼牛顿法的全局收效性和二阶收效性．数值例子表明这一算法是有效的．     

对称三唑Schif碱和氯化铜配合物的研究

本文介绍水杨配合与４－氨基－３，５－二乙基－１，２，４－三唑缩合而成对称三唑Ｓｃｈｉｆ碱（ＳＡＥＴＺ）与氯化铜（ＣｕＣｌ２）形成一种新的配合物Ｃｕ（ＳＡＥＴＺ）２（ＳＡＥＴＺ＝４－（邻羟苯基亚甲基）－亚胺－３，５－二乙基－１，２，４－三唑）。配合物的晶体结构表明，分子中两个偶氮甲碱的Ｎ原子及两个酚氧原子与中心Ｃｕ原子形成规则的平面配位结构。晶体属单斜晶系，空间群Ｐ２１／ｎ，ａ＝８．６８８（２），ｂ＝９．３１４（１），ｃ＝１６．５１５（４），β＝９４．３４（２）。，Ｖ＝１３３２．５（７）３，Ｚ＝２。     

Monodisperse thermosensitive particles prepared by emulsifier-free emulsion polymerization with microwave irradiation

The emulsifier-free emulsion polymerization of styrene (St) and N-isopropylacrylamide (NIPAAm) was successfully carried out with microwave irradiation, and the monodisperse thermoresponsive poly(styrene-co-N-isopropylacrylamide) (poly(St-co-NIPAAm)) particles with diameters in the range 100–130 nm were prepared. The morphology, size and size distribution of the poly(St-co-NIPAAm) particles were characterized by transmission electron microscopy, scanning electron microscopy (SEM) and photon correlation spectroscopy (PCS), respectively. The results showed that poly(St-co-NIPAAm) particles had spherical morphology, and the poly(St-co-NIPAAm) particles prepared by emulsifier-free emulsion polymerization with microwave irradiation were smaller, more uniform than those obtained with conventional heating. The hydrodynamic diameters of poly(St-co-NIPAAm) particles were decreased as the temperature increased from 25 °C to 40 °C, and poly(St-co-NIPAAm) particles collapsed remarkably at 32 °C, which is the lower critical solution temperature of the poly(N-isopropylacrylamide). The morphology of the assembled poly(St-co–NIPAAm) particles was observed by SEM, it was found that monodisperse poly(St-co-NIPAAm) particles could assemble to form the two-dimensional order structures.     

可见光诱导的1,n-烯炔的自由基串联环化反应研究进展

碳氮杂环化合物广泛存在于天然产物、生物活性分子、药物等相关化合物以及许多其他精细化学品中.近年来,发展了大量的合成方法制备该类化合物.其中,可见光诱导的l,n-烯炔的自由基串联环化反应条件绿色友好、操作简单、化学选择性和官能团兼容性好,已成为制备该类化合物的强有力工具.本文主要根据自由基产生的类型概述了近来可见光诱导的...     

A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential

Let W be a potential on R ² which is equivariant by the symmetry group of the equilateral triangle and has three minima. We show that the elliptic system possesses a nontrivial smooth solution U : R ² → R ². Here DW(U)^T is the transpose of the derivative DW( U ). The natural energy of the problem is unbounded and compactness techniques cannot be applied. The proof depends on careful energy estimates and asymptotics for several one-dimensional problems and for two-dimensional problems on bounded domains. © 1996 John Wiley & Sons, Inc.     

Imaging of small nanoparticle-containing objects by finite-element-based photoacoustic tomography

We present semiquantitative photoacoustic images of small nanoparticle-containing objects having a wide range of contrast levels relative to the background. The images are obtained by a finite-element reconstruction algorithm that is based on the Helmholtz-like photoacoustic wave equation in the frequency domain. Our reconstruction approach is an iterative Newton method coupled with combined Marquardt and Tikhonov regularizations that can extract the spatial distribution of relative optical absorption property in heterogeneous media. We demonstrate experimental images in single- and multiple-object configurations with a circular scanning photoacoustic tomographic system. The results obtained show that millimeter-size nanoparticle-containing objects can be clearly detected in terms of position, size, and relative optical properties.     

2-(1H-1,2,4-三唑-3-基)吡啶MnⅡ配合物的合成、结构及荧光性质

采用水热合成法,通过配体[2-(1H-1,2,4-三唑-3-基)吡啶](2-HTP)与MnSO₄·H₂O中的Mn²⁺离子组装配位,得到一个结构新颖的配合物[Mn(C₇H₅N₄)·(SO₄)·2H₂O](1),对其进行元素分析、红外光谱、X射线单晶衍射、固体荧光以及热重分析等测试。 结构分析表明,配合物1属于单斜晶系P2₁/n空间群,部分晶胞参数:a=1.16373(12) nm,b=0.79324(9) nm,c=1.40241(15) nm,V=1.1996(2) nm³,Z=4。 在配合物1中,配体2-HTP与Mn²⁺离子以双齿的方式配位,Mn²⁺离子还与两个结晶水分子相连并与SO42-中O原子的桥联作用连接成为一维的链状结构。 此外,配体的芳香环之间还存在弱的π-π空间堆积效应,通过对配合物进行固体荧光测试表明其具有良好的蓝光性质,在477 nm处存在较强的荧光发射峰。     

Formation of a Ligand‐Assisted Complex of Two RNA Hairpin Loops

The hairpin structure is one of the most common secondary structures in RNA and holds a central position in the stream of RNA folding from a non‐structured RNA to structurally complex and functional ribonucleoproteins. Since the RNA secondary structure is strongly correlated to the function and can be modulated by the binding of small molecules, we have investigated the modulation of RNA folding by a ligand‐assisted formation of loop–loop complexes of two RNA hairpin loops. With a ligand (NCT6), designed based on the ligand binding to the G–G mismatches in double‐stranded DNA, we successfully demonstrated the formation of both inter‐ and intra‐molecular NCT6‐assisted complex of two RNA hairpin loops. NCT6 selectively bound to the two hairpin loops containing (CGG)₃ in the loop region. Native polyacrylamide gel electrophoresis analysis of two doubly‐labeled RNA hairpin loops clearly showed the formation of intermolecular NCT6‐assisted loop–loop complex. Förster resonance energy‐transfer studies of RNA constructs containing two hairpin loops, in which each hairpin was labeled with Alexa488 and Cy3 fluorophores, showed the conformational change of the RNA constructs upon binding of NCT6. These experimental data showed that NCT6 simultaneously bound to two hairpin RNAs at the loop region, and can induce the conformational change of the RNA molecule. These data strongly support that NCT6 functions as molecular glue for two hairpin RNAs.