无限维Banach空间的一个特征

证明如下结果，设Ｘ是Ｂａｎａｃｈ空间，则Ｘ是无限维的充分必要的条件是存在不含内点的非空凸集Ｂ，使得Ｂ不在任何一个闭超平面上。     

Analytical Behaviour of Solutions of Boundary Integral Equations for a Nonsmooth Region

The Dirichlet problem for Helmholtz's equation in a domain exterior to some bounded smooth boundary in two dimensionsmay be solved by means of a combined potential of the singleand double layers. In this paper, the problem arising from allowingcorner points on the boundary is investigated. The resultingnoncompact operator is effectively split into singular and compactparts. By using the Mellin transforms, the equation can be convertedinto some Cauchy-type singular integral equations. Consequently,the singular form of the solution is found in terms of r^ßat a corner with 0>ß>1. As a first step towarddeveloping new numerical methods for the problem, one typicalexample is presented to demonstrate the slow convergence ofexisting methods without any modifications. Then the mesh-gradingtechnique designed for singular equations is successfully implementedto restore the order of convergence.     

Essay on gravitation: Present-time variation of Newton's gravitational constant in superstring theories

Superstring theories provide an appropriate framework for studying the time variation of fundamental coupling constants. The present time variation of coupling constants in Superstring theories with currently favorable internal backgrounds critically depends on the shape of the potential for the size of internal space. If the potential is almost flat, as in perturbation theory to all orders, the present value of ¦/G¦ for Newton's gravitational constant is calculable and estimated to be 1×10^–11±1yr^–1, which is just at the edge of the present observational bound for/G. If the potential has a minimum with finite curvature due to unknown nonperturbative effects,/G will become unobservably small. The improvement of the measurement of/G of 1 or 2 orders of magnitude would discriminate between the two situations. Problems with the time variation of other coupling constants are also discussed.This essay received the fourth award from the Gravity Research Foundation for the year 1987-Ed.     

光声光谱法研究光学薄膜的吸收特性

本文以“一维热流活塞模型”为基础,推导出薄膜光声表达式,光声信号的幅值正比于吸收率.测量了透明基底上光学薄膜的光声吸收谱,实验结果与理论一致.尤其是测量弱吸收薄膜的吸收谱时,具有较高的灵敏度和实用性.     

同位素择尤溅射角分布研究

本文从理论和实验两个方面探讨了同位素溅射角分布问题。从实验上得到的同位素溅射角分布曲线表明,在垂直靶面方向轻同位素择尤溅射,而在倾斜方向,则重同位素择尤溅射。在理论上考虑了原子级联碰撞过程中的能量和动量传输的不对称性,给出了一个与实验结果相符的同位素溅射角分布表达式。 关键词：     

ZnCl2/粘土-SA01催化剂上二苯甲烷的合成

在环境友好ZnCl2/粘土-SA01催化剂上合成了二苯甲烷,较系统地考察了负载量、苯/苄基氯摩尔比、催化剂用量、反应温度、反应时间对该傅克反应的影响,并与催化剂的表面性质关联.实验结果表明,该催化剂具有良好的催化活性和稳定性并易于回收重复使用.     

一步法合成苯乙烯催化剂表面积炭对活性的影响

应用ＥＳＲ，空气气氛下ＤＴＡ，氢气氛下ＴＰＳＲ，ＩＲ等技术手段，对反应后催化剂的积炭行为进行了研究。结果表明，反应后的催化剂表面不同程度地存在着不同类型和积炭，积炭是催化剂失活的主要原因。     

SiO2与Keggin杂多酸相互作用的研究

采用经典酸化与乙醚萃取相结合的方法，制备了Keggin型杂多酸H3PMo12O40，并以SiO2为载体制备了经不同温度焙烧的负载型杂多酸样品，利用TG、DTA、IR、XPS、NH3－TPD等手段，对负载前后的杂多酸样品进行了表征；考察了SiO2与杂多酸之间的相互作用以及载体对杂多酸酸性的影响，研究发现，SiO2载体的引入，可以有效改善杂多酸的热稳定性，焙烧温度的升高，会显著降低杂多酸的酸性，并提出SiO2杂多酸的相互作用方式。     

制氢催化剂研究进展

随着化石燃料的日趋枯竭和其带来的环境问题，人们迫切需要更有效的利用化石燃料及开发清洁、价廉的新能源．氢以其储量丰富、清洁、高效、便于运输、环境友好等特点在新能源开发中脱颖而出．氢气用于燃料电池，其化学能一电能转化比内燃机高3～4倍，因此欧、美、日等国家投入了大量的人力和财力开发高效燃料电池，并且将此种电源应用于汽车、宇宙飞船和航天飞机．日本电气公司（NEC）已开发出笔记本电脑专用燃料电池．