The Synthesis of 2‐(Chromon‐2/3‐yl)‐3‐(5‐thione‐4‐hydro‐1,3,4‐thiadiazol‐2‐yl)‐4‐oxo‐thiazolidine

2‐Formylchromones and 3‐formylchromones as the first materials singly reacted with 2‐amino‐5‐mercapto‐1,3,4‐thiadiazole to give the corresponding Schiff bases, which on cyclocondensation with mercapto‐acetic acid in 1,4‐dioxane yielded target compounds named 4‐oxo‐thiazolidines. The structures of all the synthetic compounds were confirmed by elemental analysis and IR, ¹H NMR, LC‐MS (ESI) spectral data.     

GaS multi-walled nanotubes from the lamellar precursor

Inorganic fullerene-like (IF) nanotubes constructed from layered metal chalcogenides are of particular significance because of their excellent physical properties and potential application in wide fields. But very few previous studies were focused on the IF nanotubes of layered III-VI semiconductor. Therefore we investigate the preparation, structure and photoluminescence (PL) properties of GaS nanotube (an important III-VI semiconductor IF nanotube). A simple method is introduced to prepare GaS multi-walled nanotubes for the first time by annealing the natural lamellar precursor in Ar. The reaction temperature is crucial for the formation of nanotube. A suitable temperature range is 500–850 °C. Bulk quantities of GaS nanotubes with diameters of 30–150 nm and lengths up to ten micrometers were produced. Some of these nanotubes show corrugated and interlinked structure and form many segments, demonstrating a bamboo-like structure. As compared to bulk materials, the obvious distinction of the products in PL spectra at liquid nitrogen temperature of 77 K was due to the structure variety. PACS 61.46.+w; 81.07.De; 81.16.Be     

Derivatives of multidimensional Bernstein operators and smoothness

We characterize the directional derivatives of multidimensional Bernstein operators by a new measure of smoothness. This task is carried out by means of establishing the relation between the asymptotic behavior of the derivatives and the smoothness of the functions they approximate. The obtained results generalize the corresponding ones for univariate Bernstein operators.     

Dynamical behaviors of Hopfield neural network with multilevel activation functions

When the activation function possesses multilevel property, the Hopfield neural network has some novel dynamical behaviors, and it is worthwhile to study. First, some properties about the activation function are obtained, on this foundation, some theoretical analysis about the quasi-equilibrium points has been made. From local and global view, some theorems about the boundedness are presented. Finally, two theorems about the first derivative of trajectory with respect to time are found, the first theorem indicates that the trajectory cannot keep increasing or decreasing for time t > t₀, the second theorem is about the complete stability of the trajectory.     

反应离子刻蚀ZnTe的THz辐射和探测研究

运用电光采样技术揭示了反应离子刻蚀（RIE）ZnTe晶体表面THz辐射的光学整流产生机制， 观察到0.25 ps的THz场分布.通过比较刻蚀前后以及不同刻蚀条件下ZnTe样品在不同激发功 率下的THz辐射强度，发现由于反应离子刻蚀破坏了ZnTe样品表面的有序性，晶体的电光系 数随射频功率的增加而减小.借助于计算不同刻蚀条件下ZnTe晶体的频率响应函数，分析了 随射频功率增加ZnTe晶体响应频谱展宽的现象. 关键词： THz辐射 反应离子刻蚀 ZnTe     

分子拓扑学方法估算多环芳香烃类化合物的电离能

在构建多环芳烃类化合物分子的邻接矩阵主对角元时,结合烷基极化效应指数考虑分子图顶点的性质,以分子碎片C、CH、CH2、CH3等的相对能量作主元,用分子拓扑学方法构建了多环芳香烃类化合物新的邻接矩阵.研究结果发现,新的邻接矩阵特征根与多环芳香烃类化合物的电离能有良好的相关性Ipi=4.756+2.870OMOi,R=0.9853,s=0.1765,n=446.用这种新方法估算多环芳香烃类化合物的电离能,所用参数少且为分子结构性参数,稳定可靠,计算简便,结果较满意.     

数值积分求解均匀带电圆环平面上的电场分布

本文用数值积分的方法计算椭圆积分，求出在均匀带电圆环平面上的场强与电势．     

Effect of Cu doping on the magnetic and electrical properties of n=2 Ruddlesden-Popper manganates

A series of polycrystalline Cu-doped n=2 Ruddlesden-Popper manganates La1.2Sr1.8CuzMn（2-x）O7 （x=0, 0.04, 0.13） were synthesized by the solid state reaction method. The effect of Cu doping on the magnetic and transport properties has been studied. It is found that Cu substitution for Mn greatly affects the magnetic and electrical properties of the parent phase La1.2Sr1.8Mn2O7. With the increase of Cu content, the system undergoes a transition from longrange ferromagnetic order to the spin glass state and further to an antiferromagnetic order. A little of Cu dopant can lead to the samples showing semiconductor or insulator behaviour in the whole observed temperature range while the parent phase has a metal-insulator transition. These samples show colossal magnetoresistance at low temperatures and the value of it decreases with increasing Cu content.     

Ab Initio Calculation of Room Temperature Ionic Liquid 1-Ethyl-3-Methyl-Imidazolium Chlorocuprate (Ⅰ)

The Hartree-Fock method has been employed to investigate the electronic structures of EMIM (1-ethyl-3-methyl-imidazolium ), CuCl2-, Cu2Cl3-, CuCl32-, EMIM -CuCl2-, EMIM -Cu2Cl3-,and EMIM -CuCl32- pairs. Full optimization and frequency analyses of EMIM , CuCl2-, Cu2Cl3-, CuCl32-,eight initial EMIM -CuCl2-, six EMIM -Cu2Cl3-, and four EMIM -CuCl32- geometries have been carried out using Gaussian-94 soft-package at 6-31 G(d,p) basis set level for hydrogen, carbon, nitrogen, chlorine atoms and Hay-Wadt effective core potential for copper atom. The electronic structures of lowest energy of EMIM -CuCl2-, EMIM -Cu2Cl3-, EMIM -CuCl32-, single EMIM , CuCl2-, Cu2Cl3-, and CuCl32- have been comparatively studied. The calculated results showed that EMIM -CuCl2- pair conformer of lowest energy was five ring parallel to Cl-Cu-Cl with 3.2 (A) distance, EMIM -CuCl32- pair conformer of lowest energy was five ring parallel to CuCl32-plane with 3.4 (A) distance, and the optimized EMIM -Cu2Cl3- pair conformer of lowest energy was five ring perpendicular to Cl-Cu-Cl-Cu-Cl plane with 3.0 (A) distance between the terminal Cl atoms and the 5-ring of EMIM . The cohesion between cations and anions analyses suggested that all stationary points are minimum because of no appearing of imaginary frequency.The assigned frequencies were in agreement with the experimental report. The low energy of interaction because of the bulky asymmetry of EMIM and the charge dispersion of cation and anion leads to the low melting point of the ionic liquids, EMIM -CuCl2-, EMIM -Cu2Cl3-, and EMIM -CuCl32-. The interaction energy of EMIM -CuCl2-, EMIM -Cu2Cl3-, and EMIM -CuCl32- is 309.0 k J/mol, 316.8 k J/mol, and 320.2 k J/mol, respectively. The relationship of interaction energy via distance between cations and anions was also investigated by single point energy scan.     

Distributed optical fiber surface plasmon resonance sensors

The relationships of the resonant wavelength of optical fiber surface plasmon resonance (SPR) sensors to the modulation layer refractive index, thickness and the refractive index of the bulk medium are obtained by using theoretical calculation model of optical fiber SPR sensors under certain conditions, which indicates that resonant wavelength of the sensors is approximately linear with modulation layer thickness. Based on the linear relationship, multiple SPR sensors with different resonant wavelengths can be fabricated in a single optical fiber named as distributed optical fiber surface plasmon resonance sensors (DOFSPRSs).Experimental results are presented, showing that it is practical to fabricate more than one SPR sensors in a single optical fiber.