直线与椭圆位置关系的一个判定定理的简证

文[1]证得下面: 定理若直线ι:Ax By C=0,(A2十B2≠0)与椭圆c:(x-x0)2/a2 (y-y0)2=1有公共点,则有:(Aa)2 (Bb)2≥(Ax0 By0 C)0. 本文给出上述定理的一个简单证明. 证明设x-x0/a=X,y-y0/y=Y,即x=x0 aX,y=y0 bY.则直线ι与椭圆c有公共点(?)方程组     

Bernoulli方程的演示设计

Bernoulli方程是流体力学的一个基本方程。本将介绍几种简单、有趣而又十分有效的Bernoulli方程演示设计。     

Quantum—Confined Stark Effect of Vertically Stacked Self—Assembled Quantum Discs

We study the electronic energy levels and probability distribution of vertically stacked self-assembled InAs quantum discs system in the presence of a vertically applied electric field. This field is found to increase the splitting between the symmetric and antisymmetric levels for the same angular momentum. The field along the direction from one disc to another affects the electronic energy levels similarly as that in the opposite direction because the two discs are identical. It is obvious from our calculation that the probability of finding an electron in one disc becomes larger when the field points from this disc to the other one.     

Optical spectra and Exciton State in Vertically Stacked Self—Assembled Quantum Discs

We study the oscillator strengths of the optical transitions of the vertically stacked self-assembled InAs quantum discs.The oscillator strengths change evidently when the two quantum discs are far apart from each other.A vertically applied electric field affects the oscillator strengths severely.while the oscillator strengths change slowly as the radius of one disc increases.We also studied the excitonic energy of the system.including the Coulomb interaction.The excitonic energy increases with the increasing radius of one disc.but decreases as a vertically applied electric field increases.     

Influence of relaxation effects on probabilities of the 2s2p35S2－2s22p2 3P1，2 intercombination transitions in NII

Transition probabilities of the 2s2p^3 {}^5S_2－2s^22p^2 {}^3P_{1,2} intercombination transitions in NII have been calculated by using a large-scale multiconfiguration Dirac－Fock method. In the calculation the most important effects of relativity, correlation, and relaxation are considered. From the calculated transition probabilities, the lifetime of the 2s2p^3 {}^5S_2 metastable state is derived. The result is in excellent agreement with the latest experimental result. In the meantime the influence of anomalously strong relaxation effects on probabilities of the 2s2p^3 {}^5S_2－2s^22p^2 {}^3P_{1,2} lines in NII have been found.     

低场脉冲核磁共振测定二醋酸纤维素丝束中油剂

研究了采用低场脉冲核磁共振(NMR)测定二醋酸纤维素丝束油剂的新方法，给出NMR法测定二醋酸纤维素丝束油荆含量的标准曲线。同时对NMR法测量二醋酸纤维素丝束油荆不确定度进行了评估。结果表明，NMR法具有分析速度快、无污染、无损伤和准确度高的优点，适合于二醋酸纤维素丝束油荆的分析。     

有机硅耐磨透明涂层的固化分析

ＦＴＩＲ、ＴＧ、ＴＢＡ等对有机硅耐磨涂料（有机硅溶胶）的热固化过程研究表明有机硅胶体中缔合羟基间的脱水缩合速率很高；羟基脱水程度与固化温度有关，温度越高，达平衡时羟基的浓度越低，在１０５～１３０℃间羟基的浓度变化最大，加入适当的固化剂，对羟基的脱水交联有促进作用，在较高的固化温度下，反应体系中出现了环氧环异构化产生的酮羰基的吸收峰     

冠醚共缩聚物的合成与性能（Ⅱ）

采用２，６－二羟甲基苯酚类化合物分别与单苯并冠醚（Ｂ１５ＣＳ、Ｂ１８Ｃ６）和Ｍ苯并冠醚（２Ｂ１８Ｃ６、２Ｂ２４Ｃ８、２Ｂ３０Ｃ１０）在酸催化下缩聚，合成了两个系列冠醚共缩聚物．这些聚合物Ｍ＝１２００—４５００，可溶于氯仿等溶剂，萃取性能和络合选择性均有所提高．作为树脂使用，动态吸附容量为０．０５—０．１５ｍｍｏｌ／ｇ，并有较好的色谱特性．     

JD树脂刻蚀及涂层的XPS研究

ＪＤ光学树脂表面刻蚀过程的ＸＰＳ研究表明，引进树脂遥ＣＯＨ，Ｃ＝Ｏ，Ｃ－ＳＯ３Ｈ，ＣＯＯＨ等基因随刻蚀温度的提高或时间的延长而增加，对其相对含量进行了计算，固化后的耐磨涂层具有ＳｉＯ２结构，ＪＤ板材的最佳刻蚀条件为２０℃，２０ｍｉｎ。