Four supramolecular isomers of dichloridobis(1,10‐phenanthroline)cobalt(II): synthesis,structure characterization and isomerization

Crystal engineering can be described as the understanding of intermolecular interactions in the context of crystal packing and the utilization of such understanding to design new solids with desired physical and chemical properties. Free‐energy differences between supramolecular isomers are generally small and minor changes in the crystallization conditions may result in the occurrence of new isomers. The study of supramolecular isomerism will help us to understand the mechanism of crystallization, a very central concept of crystal engineering. Two supramolecular isomers of dichloridobis(1,10‐phenanthroline‐κ²N,N′)cobalt(II), [CoCl₂(C₁₂H₈N₂)₂], i.e. (IA) (orthorhombic) and (IB) (monoclinic), and two supramolecular isomers of dichloridobis(1,10‐phenanthroline‐κ²N,N′)cobalt(II) N,N‐dimethylformamide monosolvate, [CoCl₂(C₁₂H₈N₂)₂]·C₃H₇NO, i.e. (IIA) (orthorhombic) and (IIB) (monoclinic), were synthesized in dimethylformamide (DMF) and structurally characterized. Of these, (IA) and (IIA) have been prepared and structurally characterized previously [Li et al. (2007). Acta Cryst. E 63 , m1880–m1880; Cai et al. (2008). Acta Cryst. E 64 , m1328–m1329]. We found that the heating rate is a key factor for the crystallization of (IA) or (IB), while the temperature difference is responsible for the crystallization of (IIA) or (IIB). Based on the crystallization conditions, isomerization behaviour, the KPI (Kitajgorodskij packing index) values and the density data, (IB) and (IIA) are assigned as the thermodynamic and stable kinetic isomers, respectively, while (IA) and (IIB) are assigned as the metastable kinetic products. The 1,10‐phenanthroline (phen) ligands interact with each other through offset face‐to‐face (OFF) π–π stacking in (IB) and (IIB), but by edge‐to‐face (EF) C—H...π interactions in (IA) and (IIA). Meanwhile, the DMF molecules in (IIB) connect to neighbouring [CoCl₂(phen)₂] units through two C—H...Cl hydrogen bonds, whereas there are no obvious interactions between DMF molecules and [CoCl₂(phen)₂] units in (IIA). Since OFF π–π stacking is generally stronger than EF C—H...π interactions for transition‐metal complexes with nitrogen‐containing aromatic ligands, (IIA) is among the uncommon examples that are stable and densely packed but that do not following Etter's intermolecular interaction hierarchy.     

圆柱面绕任意轴回转形成的包络面分析

在分析及计算椭圆上距离任意已知点最远或最近的点基础上,分析了最远点及最近点在圆柱面绕任意轴回转形成包络面过程中的作用,从而由最远点及最近点的计算公式导出了多种形式的包络面方程,并由此找出了包络面受各种因素影响的规律.     

天文导航中星体高精度细分定位方法研究

介绍了一种从星体图像中高精度提取恒星位置的方法.这种方法把星光成像看成是高斯点扩散函数模型,利用线性内插和最小二乘法拟合得到高斯曲面参数,从高斯曲面模型中得到亚像素级的恒星位置.由于直接进行高斯曲面拟合计算非常复杂,将二维曲面拟合转化为两个方向上的一维曲线拟合,分别得到不同的曲面系数.仿真结果表明当信噪比小于0.05时,定位精度能达到1/20像素,与质心法比较,高斯曲面拟合法精度高,抗噪声能力强.     

基于识别能力的人脸特征向量均衡

在人脸识别中,通常是把人脸图像投影在特征向量组成的空间中,特征向量决定了人脸识别的效果。同一人的人脸图像在好的特征向量上的投影应具有较集中的分布,反之亦然。从微观意义上提出了每个向量的识别能力的概念,通过计算识别能力的大小,选择具有较大的识别能力的特征向量。为了使每个向量在识别中发挥与其识别能力相对应的作用,根据每个向量的识别能力对它们进行均衡化处理,赋予不同权重,提高了识别率。通过在ORL、Yale人脸数据库上进行试验,验证了该方法的有效性。     

order and disorder lines in systems with competing interactions: II. The IRF model

Systems with competing interactions can be often exactly solved on a restricted subspace of the parameter space, called an order or disorder trajectory. A simple method introduced within the transfer matrix formalism allows for the calculation of the free energy and spin-spin correlation functions along the order and disorder lines of the Ising model with all possible interactions around a face of the square lattice (IRF model). The general eight-vertex model is thoroughly examined and shows full analogy with the quantum spin chain results of the previous paper.On leave from and address after September 1, 1982: Institute for Theoretical Physics, Eötvös University, 1088 Budapest, Puskin U. 5–7, Hungary.     

体全息子波关联记忆器

基于子波匹配相关理论和光折变晶体的体全息关联存储特性,提出并实现了一个关联记忆的新构思。中根据缺损特征实现原始图像的记忆和恢复,其中光折变晶体兼作图像识别时的运算单元和图像恢复时的存储单元,文中以人脸为研究对象,给出了实验结果。