Copolymerization of styrene and norbornene with β‐diketiminato nickel/methylaluminoxane catalytic system

Styrene–norbornene (S‐N) copolymerizations were carried out using β‐diketiminato nickel complexes CH{C(CF₃)NAr}₂NiBr (Ar = 2,6‐ⁱPr₂C₆H₃, 1 ; Ar = 2,6‐Me₂C₆H₃, 2 ) in the presence of methylaluminoxane. The influence of the comonomer feed content and polymerization temperature on the conversion and composition of the copolymers with the catalytic system was investigated. An increase in the feed ratio of S/N led to an increase in the incorporated styrene content of the resulting copolymer. NMR characterization of the copolymers generated with the catalytic systems showed that the random S‐N copolymers are produced. Differential scanning calorimetric determination of the copolymers shows higher T_g values than polystyrene, and gel permeation chromatographic measurements have shown that the copolymers possess rather narrow molecular weight distributions, suggesting that the copolymerization take place at a single active site. Copyright © 2012 John Wiley & Sons, Ltd.     

Application of alkoxide in catalytic transfer hydrogenation of unsaturated nitrogen compounds

Alcoholate was utilized in catalytic transfer hydrogenation of unsaturated nitrogen compounds. In the reduction of nitro compounds, oximes and imines, alkoxide was used as the promoter, with alcohol as the hydrogen source, while in the reduction of nitriles, alkoxide was used as the hydrogen source.     

Discontinuous crack-bridging model for fracture toughness analysis of nacre

Studying the structure–property relation of biological materials can not only provide insight into the physical mechanisms underlying their superior properties and functions but also benefit the design and fabrication of advanced biomimetic materials. In this paper, we present a microstructure-based fracture mechanics model to investigate the toughening effect due to the crack-bridging mechanism of platelets. Our theoretical analysis demonstrates the crucial contribution of this mechanism to the high toughness of nacre. It is found that the fracture toughness of nacre exhibits distinct dependence on the sizes of platelets, and the optimized ranges for the thickness and length of platelets required to achieve higher fracture toughness are given. In addition, the effects of such factors as the mechanical properties of the organic phase (or interfaces), the effective elastic modulus of nacre, and the stacking pattern of platelets are also examined. Finally, some guidelines for the biomimetic design of novel materials are proposed based on our theoretical analysis.     

Z=18—82原子的同步辐射内壳层光电离积分截面的计算和讨论

此文计算了Ｚ＝１８－８２的原子在北京同步辐射４Ｂ９Ａ束线的白色Ｘ光照射下的光电离积分截面Ｇ值。结果表明，有三个Ｇ值较大的区域，Ｚ＝１８－２０，３９－４７和５９－８２，最大值分别为３．８×１０－６，１．６×１０－５和３．５×１０－５ｐｈｏｔｏｎｓ·ｃｍ２／ｓ。同时，估计了平衡时主要多重电荷态离子数目，分析了用同步辐射和离子阱进行多重电荷态实验的新的候选原子，讨论了有关实验方法和技术。     

非平衡、非绝热气体中的波

本文探讨了非平衡、非绝热气体中扰动传播的特性。包括弛豫波、压力波、密度波以及热模。基于热扰具有反馈机制的看法,导出了非平衡、非绝热气体中扰动传播的基本方程式和色散关系。由此得到了一些新的结论,例如,扰动能够放大或缓慢衰减,后者为大气中次声波吸收的异常现象提供了一种合理的解释;非绝热能够引起很大的弥散现象;非绝热过程对噪声的传播能够产生显著的阻尼作用等等。此外,压力波、密度波和热模不稳定的结论与气体放电失稳性的实验相符合。 关键词：     

用小功率He-Ne激光器测量Ga1-xAlxAs外延片表面组份的均匀性

本文描述了一种简便可靠的分析Ga1-xAlxAs外延片表面组份均匀性的光学方法.在300K下,用小功率He-Ne激光器作光源,对x<0.39的n型和p型外延层进行了光致发光测量.依据光谱峰值获得表面的x值与扫描电镜所得结果相符.通过激发表面不同点处测得的光致发光光谱的位移,可以迅速而直观地分析出x值分布的均匀性.     

A theorem of global existence of solutions to nonlinear wave equations in four space dimensions

In this paper, the following nonlinear wave equation is considered; □u=F(u, D u, D _x D u),x∈R ⁿ ,t>0; u=u ⁰ (x), u _t =u ¹ (x), t=0. We prove that if the space dimensionn ≥ 4 and the nonlinearityF is smooth and satisfies a mild condition in a small neighborhood of the origin, then the above problem admits a unique and smooth global solution (in time) whenever the initial data are small and smooth. The strategy in proof is to use and improve Global Sobolev Inequalities in Minkowski space (see [8]), and to develop a generalized energy estimate for solutions.     

Moderate Deviations and Large Deviations for Kernel Density Estimators

Let f _n be the non-parametric kernel density estimator based on a kernel function K and a sequence of independent and identically distributed random variables taking values in ^d . It is proved that if the kernel function is an integrable function with bounded variation, and the common density function f of the random variables is continuous and f(x) 0 as |x| , then the moderate deviation principle and large deviation principle for hold.     

<Emphasis Type="Italic">I</Emphasis>-projection onto isotonic cones and its applications to maximum likelihood estimation for log-linear models

A frequently occurring problem is to find a probability vector,p∈D, which minimizes theI-divergence between it and a given probability vector π. This is referred to as theI-projection of π ontoD. Darroch and Ratcliff (1972,Ann. Math. Statist.,43, 1470–1480) gave an algorithm whenD is defined by some linear equalities and in this paper, for simplicity of exposition, we propose an iterative procedure whenD is defined by some linear inequalities. We also discuss the relationship betweenI-projection and the maximum likelihood estimation for multinomial distribution. All of the results can be applied to isotonic cone.