Mathematical model of electromigration allowing the deviation from electroneutrality

The structure of the double layer on the boundary between solid and liquid phases is described by various models, of which the Stern–Gouy–Chapman model is still commonly accepted. Generally, the solid phase is charged, which also causes the distribution of the electric charge in the adjacent diffuse layer in the liquid phase. We propose a new mathematical model of electromigration considering the high deviation from electroneutrality in the diffuse layer of the double layer when the liquid phase is composed of solution of weak multivalent electrolytes of any valence and of any complexity. The mathematical model joins together the Poisson equation, the continuity equation for electric charge, the mass continuity equations, and the modified G-function. The model is able to calculate the volume charge density, electric potential, and concentration profiles of all ionic forms of all electrolytes in the diffuse part of the double layer, which consequently enables to calculate conductivity, pH, and deviation from electroneutrality. The model can easily be implemented into the numerical simulation software such as Comsol. Its outcome is demonstrated by the numerical simulation of the double layer composed of a charged silica surface and an adjacent liquid solution composed of weak multivalent electrolytes. The validity of the model is not limited only to the diffuse part of the double layer but is valid for electromigration of electrolytes in general.     

PBFC-PI量子动力学方法及应用

对多原子体系的量子动力学计算非常重要, 然而, 对含六原子以上的分子体系进行精确量子动力学计算仍具挑战性. 面向过程的基函数定制(PBFC)-并行迭代(PI)方法是一种高效的量子动力学方法, 已应用于对含九原子的丙二醛异构体系的氢迁移速率的精确量子计算. 本综述首先阐明了PBFC的基本思想, 之后重点回顾了PBFC-PI方法的具体内容、 该方法与其它方法的结合及其应用方面的新进展. 应用这些方法实现了对单氢迁移、 协同双氢迁移和分步双氢迁移3种类型基准体系的大规模并行计算, 有助于获得对氢迁移过程的新认识.     

1H–13C–29Si triple resonance and REDOR solid-state NMR—A tool to study interactions between biosilica and organic molecules in diatom cell walls

Triple resonance solid-state NMR experiments using the spin combination ¹H–¹³C–²⁹Si are still rarely found in the literature. This is due to the low natural abundance of the two heteronuclei. Such experiments are, however, increasingly important to study hybrid materials such as biosilica and others. A suitable model substance, ideally labeled with both ¹³C and ²⁹Si, is thus very useful to optimize the experiments before applying them to studies of more complex samples such as biosilica. Tetraphenoxysilane could be synthesized in an easy, two-step synthesis including double isotope labelling. Using tetraphenoxysilane, we established a ¹H–¹³C–²⁹Si double CP-based HETCOR experiment and applied it to diatom biosilica from the diatom species Thalassiosira pseudonana. Furthermore, we carried out ¹H–¹³C{²⁹Si} CP-REDOR experiments in order to estimate the distance between the organic matrix and the biosilica. Our experiments on diatom biosilica strongly indicate a close contact between polyamine-containing parts of the organic matrix and the silica. This corroborates the assumption that the organic matrix is essential for the control of the cell wall formation.     

一种经氟化和热处理在双壁碳纳米管上生成缺陷的方法(英文)

Nanoscale defects in the outer tube to preserve the electrical and optical features of the inner tube can be engineered to exploit the intrinsic properties of double walled carbon nanotubes (DWCNTs) for various promising applications. We demonstrated a selective way to make defects in the outer tube by the fluorination of DWCNTs followed by the thermal detachment of the F atoms at 1000 °C in argon. Fluorinated DWCNTs with different amounts of F atoms were prepared by reacting with fluorine gas at 25, 200, and 400 °C that gave the stoichiometry of CF0.20, CF0.30, and CF0.43, respectively. At the three different temperatures used, we observed preservation of the coaxial morphology in the fluorinated DWCNTs. For the DWCNTs fluorinated at 25 and 200 °C, the strong radial breathing modes (RBMs) of the inner tube and weakened RBMs of the outer tube indicated selective fluorine attachment onto the outer tube. However, the disappearance of the RBMs in the Raman spectrum of the DWCNTs fluorinated at 400 °C showed the introduction of F atoms onto both inner and outer tubes. There was no significant change in the morphology and optical properties when the DWCNTs fluorinated at 25 and 200 °C were thermally treated at 1000 °C in argon. However, in the case of the DWCNTs fluorinated at 400 °C, the recovery of strong RBMs from the inner tube and weakened RBMs from the outer tube indicated the selective introduction of substantial defects on the outer tube while preserving the original tubular shape. The thermal detachment of F atoms from fluorinated DWCNTs is an efficient way to make highly defective outer tubes for preserving the electrical conduction and optical activity of the inner tubes.     

解变分不等式的一种二次投影算法

该文研究一种新的解变分不等式的二次投影算法.通过构造一类新的严格分离当前迭代和变分不等式解集的超平面,进而建立了解决伪单调变分不等式投影算法的一种新的框架.通过改进已有结果的证明方法,证明了该算法生成的无穷序列是全局收敛的,并且在局部误差和Lipschitz条件下给出了收敛率分析.     

N,N′-双-(2-羟基苯亚甲基)-烷基(芳基)甲二胺类化合物质谱研究

本文对双Schiff碱类化合物的质谱进行了研究,由于其结构的特殊性,质谱的裂解过程中出现一些特殊的碎片离子,它包括羟基氢的迁移、双键的转换以及分子结构重排等,为研究这类化合物的结构和性质提供了重要的信息。     

选择性合成(1,3-二苯基-2-亚丁烯基)二苯甲胺席夫碱及其光催化选择性双键转移的研究

席夫碱是一类具有多功能结构的化合物.本文使用二苯甲胺和苯乙酮为原料合成了(1,3-二苯基-2-亚丁烯基)二苯甲胺席夫碱,并进行了光催化选择性双键转移的研究.结果 表明,当苯乙酮与二苯甲胺投料比为3∶1,先在135C反应4h,然后升温到165C继续反应3h,可选择性合成(1,3-二苯基-2-亚丁烯基)二苯甲胺席夫碱.该席...     

THERMOTROPIC LIQUID CRYSTALLINE COPOLYESTERS-SOLID STATE POLYMORPHISM

This paper offers some new evidence on the polymorphism of solid state of liquid crystalline aromatic copolyesters which were prepared in our laboratory. The effects of different treatment conditions(quenching and annealing) on solid structure have been examined mainly by DSC and X-ray diffraction. The discussion focuses on the supercooled mesophase and low temperature solid-solid transition, the shifting of double melting peaks of annealed samples and the changing of their ΔH data depending on the treatment temperature, time and thermal scanning rate.     

调节剂存在下双金属氰化络合催化剂催化环氧丙烷聚合的动力学

研究了双金属氰化络合催化剂DMC催化环氧丙烷调节聚合的动力学 .通过测定反应过程体系压力的变化来决定聚合的起始速率 ,发现聚合反应速率与分子量调节剂浓度Tr的线性函数的 - 1次方成正比 .考察了DMC催化剂在反应不同阶段的远红外吸收变化 ,提出了聚合反应可能的反应历程 ,并推导出调节聚合的动力学方程 .研究结果表明调节聚合的动力学特点在于链引发是发生在催化剂与单体之间 ,而不是催化剂与调节剂之间     

液态低沸点气体的表面张力

利用双毛细管法测定了液氮沸点温度下液氮的表面张力。用非线性方程γ=γ0(1-T/TC)n描述了液态N2、O2、Ar、Xe、H2、Ne、He、F2和Kr的表面张力与温度的关系,并采用一元线性回归的方法拟合了上述各流体的参数γ0和n,准确度高于文献值,说明方程能正确表达表面张力与温度的关系。这些数据有利于对上述低沸点气体进行准确的热力学计算。