Allyl chloride/AlCl_3/ether cationic initiating systems for polymerization of 1,3-pentadiene

Various ethers were used to mediate the polymerizations of 1,3-pentadiene (PD) initiated by AlCl3 and by allyl chloride (AllyCl)/AlCl3. The introduction of the ethers exert considerable effects on polymer yield and molecular weight due to its interaction with the propagating carbocation. The carbocation reactivity is reduced by this interaction which is subject to the ether's nucleophilicity determined by the steric hindrance of groups adjacent to oxygen. The reduction of carbocation reactivity gives rise to a decrease of polymer yield owing to inhibition of propagation but results in an augmentation of molecular weight due to suppression of various side reactions such as terminations. By using suitably nucleophilic ethers such as diphenyl ether, the polymerization can be mediated to give an high molecular weight polymer in high yield.     

EFFECTS OF EXCHANGE RATE AND TARIFFS ON AN OPEN ECONOMY OF SCARCITY OF CAPITAL

§ 1　 The ModelWe consider an economy,which is specialized in the production of a single tradablecommodity.The economy is also characterized by an exogenous growing population N =N0 ent(N0 >0 ,n>0 ) .The labor force is a constantfraction of the population and the techni-cal progress is subsumed into population growing.This paper assumes thatthe labor forceis equal to population,i.e.the fraction is1 .The representative firm(or household) in thiseconomy produces domestic outputy(t) by means o…     

锶Sr,钡Ba和镭Ra的单光子电四极矩光谱跃迁的理论研究

用带有Ｂｒｅｉｔ和ＱＥＤ修正的全相对论多组态Ｄｉｒａｃ－Ｆｃｃｋ平均能级（ＭＣＤＦ－ＡＬ）模型,计算了碱土金属Ｓｒ、钡Ｂａ和镭Ｒａ的单光子电四极矩＾１Ｄ－＾１Ｓ跃迁的光谱能量间隔,最大跃迁几率和振子强度。计算中考虑了重要的相对论效应、电子关联效应和核的有限体积效应,所得的结果与国外早期发表的结果进行了比较,此外还首次从理论上预言了镭Ｒａ的单光子电四极矩＾１Ｄ－１Ｓ光谱跃迁。     

He—HF体系的结构和分析势能函数

利用Ｇｕａｓｓｉａｎ９４程序和ＱＣＩＳＤ／６－３１１＋＋Ｇ方法得到Ｈｅ－ＨＦ和Ｈｅ－ＦＨ两种线性平衡结构,计算出了这两种弱结合分子的结构参数、离解能和二阶力常数。在此基础上,利用多体项展式方法民出Ｈｅ－ＨＦ（Ｘ＾１Σ＾＋）体系的分析势能函数,得到的势能面准确地再现了Ｈｅ－ＨＦ和Ｈｅ－ＦＨ两种线性结构。     

OⅠ等电子序列2p~3s、2p~3d组态能级的递推公式

基于ＨＦ方程的微扰公式及ＯⅠ等电子序列光谱观测值,导出该序列的能级递推公式并用于计算,平均相对误差１０－６。     

激光金等离子体谱中3d-5f、3p-5s跃迁子阵计算

 激光等离子体M带0.346～0.372nm范围内精细结构谱,是金等离子体的类Co、类Ni、类Cu、类Zn离子的3d-5f、3p-5s跃迁子阵形成的。在自旋轨道劈裂阵模型下, 对平均波长在该范围内的各子阵的主要特征参数如平均波长、半高宽和总跃迁强度进行详细计算,得到与实验测量基本一致的结果,可用于等离子体的精确诊断。     

势函数分析高斯光束在对数饱和非线性介质中的传播

导出了在对数饱和非线性介质中传播的强激光基模高斯光束宽度随传播距离变化的方程。此方程与势作用下粒子的运动方程形式一致,因此可用势作用下的粒子行为来描述高斯光束的呼吸模式。对势函数采用二阶近似后,求解此方程得到高斯型呼吸模式的光束宽度的近似解析式。分析了呼吸周期和呼吸深度与入射条件的关系,以及形成空间孤子的条件。     

非自治Schrdinger-KdV型藕合方程组的一致吸引子及其维数估计

本文研究了非自治Schr■dinger-KdV型藕合方程组的非线性动力学行为．运用具有两个参数的算子簇来描述非自治无穷维动力系统的方法,证明了该系统的一致吸引子的存在性．进一步,对其Hausdorff维数进行了估计．     

带调和势的非线性Schrdinger方程爆破解的L~2集中率

本文讨论了带调和势的具有临界幂的非线性Schrodinger方程,得到其爆破解在t→T(爆破时间)的L2集中率．     

On (2~m + 1)-variable symmetric Boolean functions with submaximum algebraic immunity 2~(m-1)

All (2m +1)-variable symmetric Boolean functions with submaximal algebraic immunity 2m-1 are described and constructed. The total number of such Boolean functions is 32 ·22m-3 +3m-2 · 24 - 2 for m≥2.