A method for solving singularly perturbed systems containing singular manifolds

Summary A method of obtaining the asymptotic solution of a singularly perturbed system containing singular manifolds is presented. Some sufficient conditions for the convergence of the solutions to the stable singular manifolds are provided. An example from magneto-hydrodynamics, showing interesting properties of the solution, is given.     

G-度量空间中两对非相容映象的几个新的公共不动点定理

在G-度量空间的框架下,利用自映象对的非相容性和(Ag)型R-弱交换性条件,在既不要求空间的完备性,也不要求映象连续的条件下,建立了一类?-压缩条件下的4个映象的几个新的公共不动点定理,此定理在很大程度上改进和发展了已有文献的相关结果.     

Random attractor of the stochastic strongly damped wave equation

In this paper we study the asymptotic dynamics of the stochastic strongly damped wave equation with homogeneous Neumann boundary condition. We investigate the existence of a random attractor for the random dynamical system associated with the equation.     

新显色剂1－（对－偶氮苯）－3－（2－噻唑）－三氮烯与锌显色反应的研究及应用

本文研究了新显色剂１－（对－偶氮苯）－３－（２－噻唑）－三氮烯在非离子表面活性剂ＴｒｉｔｏｎＸ－１００存在下，与锌（Ⅱ）显色反应的适宜条件。结果表明，在ｐＨ１３．０～１４．０范围内，锌（Ⅱ）与题示试剂形成１：３的稳定粉红色配合物，其最大吸收波长为５４５ｎｍ，试剂的最大吸收波长为４６３ｎｍ。配合物表现摩尔吸光系数在５４５ｎｍ处为９．６×１０￣４Ｌ·ｍｏｌ￣（－１）＊ｃｍ￣（－１）；０～２４μｇ／２５ｍＬＺｎ符合比耳定律。该试剂对锌的选择性良好。方法用于铝合金中锌的直接测定，结果令人满意。     

Nitrogen and boron co-doped graphene nanoribbons as peroxidase-mimicking nanozymes for enhanced biosensing

The rational design of nanozymes with superior activities is essential for improving bioassay performances. Herein, nitrogen and boron co-doped graphene nanoribbons(NB-GNRs) are prepared by a hydrothermal method using urea as the nitrogen source and boric acid as the boron source, respectively.The introduction of co-doped and edge structures provides high defects and active sites. The resultant NB-GNRs nanozymes show superior peroxidase-like activities to nitrogen-doped and boron-doped counterpa...     

DNA binding,cleavage, and cytotoxicity of binuclear phenolate nickel(II) complexes

Three binuclear phenolate complexes, [Ni₂(L¹)₂(OAc)](BPh₄)·DMF (1), [Ni₂(L²)₂(OAc)](BPh₄) (2), and [Ni₂(L³)₂(OAc)](OH)·3H₂O (3), where L¹ = 2-{[bis-(2-hydroxy-ethyl)-amino]-methyl}-4-methyl-phenol, L² = 2-{[bis-(2-hydroxy-ethyl)-amino]-methyl}-4-methoxy-phenol, and L³ = 2-{[bis-(2-hydroxy-ethyl)-amino]-methyl}-4-tert-butyl-phenol), have been synthesized. Single-crystal diffraction reveals that all the metal atoms are in a distorted octahedral geometry. The interactions of the complexes with calf thymus DNA (CT-DNA) have been investigated by UV–vis absorption, fluorescence emission, and circular dichroism spectroscopy and viscosity measurements. Furthermore, DNA cleavage mechanism shows that the complexes may be capable to promote DNA cleavage through oxidative DNA damage pathway, which is indicative of the involvement of hydroxyl radical, singlet oxygen, or singlet oxygen-like entity in the cleavage process. Cytotoxicity studies on the Hela and MCF-7 cancer cell lines show that complexes 1–3 exhibit excellent activity toward the tested tumor cell lines with respect to the standard drug carboplatin, revealing that they have the potential to act as effective metal-based anticancer drugs.     

组氨酸功能化石墨烯量子点@纳米硅负极材料的制备及电化学性能研究

以柠檬酸和组氨酸混合物为碳源采用高温热解法制备组氨酸功能化石墨烯量子点（CH-GQD）.CH-GQD是由平均尺寸仅为3.5 nm的石墨烯片组成,片的边缘含有丰富亲水基团,产品极易溶于水,具有强而稳定的荧光发射.将CH-GQD包覆于硅纳米粒子表面得到石墨烯量子点@硅复合物,以此复合物电极为负极、金属锂片为正极装配锂电池,并测试其电化学性能.研究表明,CH-GQD的引入使硅负极的电子转移阻抗下降超过14.7倍,电极与电解质之间的锂离子扩散系数提高310倍,减少了因硅与电解液分子发生副反应造成的储锂容量迅速衰减.CH-GQD@Si电池在50和1000 mA·g^-1恒电流下首次放电容量分别是3325和1119 mAh·g^-1.在100 mA·g^-1电流密度下循环100圈放电容量仍保持1454.4 mAh·g^-1.CH-GQD@Si的电池行为明显优于硅负极和柠檬酸和丙氨酸热解产生石墨烯量子点（CA-GQD）改性后的硅负极.由于CH-GQD和CA-GQD在结构上仅相差一个咪唑边缘基团,上述结果还证明咪唑基对提高复合物电极电化学性能发挥了重要作用.     

Blockcopolymers in microemulsions differential heats of solution and shift of the percolation temperature in W/O microemulsions

Solutions of blockcopolymers (POE-b-PI-b-POE) in fluids of interacting aqueous nanodroplets (W/O microemulsions) are studied. The interaction strength between the (pseudo) two components is measured by the shift of the percolation temperature relative to that of the pure microemulsion. A quantitative measure of the interaction, the differential heat of solution, is thermodynamically related to the slopes of the equilibrium temperature of the system with varying monomeric nanodroplet concentration and the experimental percolation line in the presence of copolymer.     

Hierarchical Mn<Subscript>1.5</Subscript>Co<Subscript>1.5</Subscript>O<Subscript>4</Subscript> microspheres constructed from one-dimensional nanorods as high-performance anode material for lithium-ion battery

Mn_1.5Co_1.5O₄ hierarchical microspheres have been successfully synthesized via a solvothermal method and an annealing procedure. Mn_1.5Co_1.5O₄ exhibits advanced cycling performance, and it retains a reversible capacity of 633 mA h g^?1 at a current density of 400 mA g^?1 with a coulombic efficiency of 99.0% after 220 cycles. Its remarkable performance is attributed to the hierarchical structure assembled with nanorods, which increases the contact area between each nanorod and electrolyte. More significantly, the open space between neighboring nanorods and the pores on the surface of nanorods can improve Li⁺ ion diffusion rate. Furthermore, the nanorods have rapid one-dimensional Li⁺ diffusion channels, which not only possess a large specific surface area for high activity but accommodate the volume change during lithiation–delithiation processes. Therefore, Mn_1.5Co_1.5O₄ hierarchical microspheres can act as a promising alternative anode material for lithium-ion battery.     

微波频率下Ba0.5Sr0.5TiO3薄膜的介电特性随温度及外加偏压变化的检测

提出了一种新的结构来表征钛酸锶钡薄膜在微波频率下的介电特性,即在沉积有钛酸锶钡薄膜的氧化镁基片上制作了共面带阻滤波器.借助于共面带阻滤波器的谐振频率和Q值,通过比较其测量值与仿真值,可以得出钛酸锶钡薄膜的介电常数和介电损耗.在变温测试过程中,注意到金导电层的电导率对带阻滤波器的谐振频率和Q值有较大的影响.为了准确地得到钛酸锶钡薄膜的介电特性,仔细分析了金导电层对带阻滤波器频率响应曲线的影响,并在比较求值过程中消除了这一影响.