Wolfe线搜索下一类混合共轭梯度法的全局收敛性

本文给出了一个新的共轭梯度公式,新公式在精确线搜索下与DY公式等价,并给出了新公式的相关性质.结合新公式和DY公式提出了一个新的混合共轭梯度法,新算法在Wolfe线搜索下产生一个下降方向,并证明了算法的全局收敛性,并给出了数值例子.     

Effect of Particle Size and Capping on Photoluminescence Quantum Efficiency of 1,3,5-Triphenyl-2-pyrazoline Nanocrystals

Organic nanocrystals of 1,3,5-triphenyl-2-pyrazoline(TPP) with a series of sizes were synthesized by reprecipitation method.The luminescence quantum efficiency of TPP nanocrystals increases from 24.2% for the nanocrystals with an average size of 300nm to 34.6% for those with an average size of 20nm.Surface capping by polyvinyl pyrrolidone(PVP) will improve the quantum efficiency of TPP nanocrystals.The size-dependence and capping-induced variation of the luminescence quantum efficiency was elucidated in viewpoint of aggregation quenching and the equilibrium between the TPP monomers and the aggregates in TPP nanocrystals.     

非负矩阵分解法研究三价铁离子与试钛灵形成的多组分体系

采用分光光度法测量三价铁离子与邻苯二酚-3,5-二磺酸钠(试钛灵)的配位数和稳定常数是常见的大学化学教学实验之一。我们发现,随着溶液中三价铁离子与试钛灵配比的改变,配合物的吸收光谱峰位置发生显著位移,推断配位数不唯一。用非负矩阵分解法对系列光谱数据进行分析,获取主要成分的特征光谱和它们的化学配比,结果显示体系中包含两种产物,分别对应一配位和二配位两种形式。然而,教材要求给出一个正整数的配位数,实验设计的合理性值得探讨。     

函数的非光滑程度与极小化算法的收敛性

本文对局部Ｌｉｐｓｃｈｉｔｚ连续函数引入了非光滑程度的概念，讨论了函数的非光滑程度的某些与函数的下降方向以及最优性有关的性质，并将其用于研究求函数极小值的直接方法的收敛性质。     

Investigation of third-order nonlinear optical properties of two azo-nickel chelate compounds

This paper investigates the third-order nonlinear optical properties of two azo-nickel chelate compounds by the optical Kerr gate method at 830 nm wavelength with pulse duration of 120 fs. Both of the two compounds exhibited large third-order optical nonlinearity. The second-order hyperpolarizability,γ, of Compound 1 is of 1.0 × 10^-31 esu. Due to the charge transfer, the γ of Compound 2 with electron donor and acceptor group is 4.9 × 10^-31 esu, which is a four-time enhancement in comparison with Compound i. The absorption spectra show that the electron push-pull effect, which induces intramolecular charge transfer, leads to the increased optical nonlinearity.