Grace定理的推广

Grace 定理的内容如下[1,P.164.例12].定理1 设 f(z)至多是 n+1(n>0)次多项式。若存在 a,b 两点,使得 f(a)=f(b),连接 a,b 得到一直线,以这直线的中点为园心,以仅与 a,b 和 n 有关的 R(n,a,b)为半径作一园,则在这个园内或其境界上至少有一点 z,使得 f′(z)=0.本文证明,多项式的限制条件可以去掉,而代之以正则函数即可.我们有下面的定理.定理2 设函数 f(z)在区域 E 内正则,a 为 E 内任意一点,则在点 a 的某个邻域 G(?)E 内,对于任意点 b∈G/{a},必存在点 z∈G,使得     

烷烃类分子对NC0（A^2∑^＋）自由基的猝灭

采用激光光解—激光诱导荧光(LP—LIF)的方法，用266nm激光光解CHBr3分子产生CH自由基，再与N2O继续反应作为NCO自由基的产生源，用438．6nm激光将电子基态X^2∏i(00^10)的NCO激励到激发态A^2∑^+(00^00)上，通过检测激发态NCO时间分辨荧光信号，测得室温(298K)下NCO(A^2∑^+)被烷烃类分子猝灭的实验结果，获得了A^2∑^+(00^00)态猝灭速率常数．实验发现，随着烷烃分子中C—H键数增加，其猝灭截面也近线性增加，但随着分子体积增大，这种增加趋缓．     

REGULAR RELATIONS AND MONOTONE NORMAL ORDERED SPACES

In this paper the classical theorem of Zareckii about regular relations is generalized and an intrinsic characterization of regularity is obtained. Based on the generalized Zareckii theorem and the intrinsic characterization of regularity, the authors give a characterization of monotone normality of ordered spaces. A new proof of the Urysohn-Nachbin lemma is presented which is quite different from the classical one.     

Schottky Barrier Height Inhomogeneity of Ti／n—GaAs Contact Studied by the I—V—T Technique

The current-voltage characteristics of Ti/n-GaAs Schottky diodes measured over a temperature range of 78-299K have been interpreted on the basis of thermionic emission across an inhomogeneous Schottky contact.The experiment shows that the apparent barrier height (φap) increases from 0.437eV at 78K to 0.698eV at room temperature.the plot of φap versus 1/T does not exhibit a simple linear relationship over the whole temperature range,indicating that the barrier height distribution is more complicated than the frequently observed single Gaussian distribution.A new multi-Gaussian distribution model is developed.Our experimental results can be explained by a double Gaussian distribution of the barrier heights.The weight,the mean barrier height,and the standard deviation of the two Gaussian functions are 0.00001 and 0.99999,0.721 and 0.696,0.069 and 0.012eV,respectively.     

系综分布和它的小涨落近似

由“从正则分布出发，在小涨落近似下得出的能量涨落分布公式”求得的能量涨落的二次矩与直接由正则分布求得的二次矩完全相同，但分别由二求得的高次矩并不完全相同。     

Critical Behaviour of the One—Dimensional Ferromagnetic t—J Model

The one-dimensional super-symmetric ferromagnetic t-J model is studied via the thermal Bethe ansatz.Analytic expressions of the free energy for T→O are obtained.A new critical behaviour beyond the universal class of Luttinger Liquids is found in this system.     

Single＆Two—photon Excited Fluorescence of Two New Compounds with 2—Benzothiazoly as Electron Acceptor

Two new D-x-A type compounds,where electron-donor D is tertiary amino group,electron-acceptor A is 2-benzothiazolyl and x is two conjugated styryl units,have been synthesized.They are named as trans,trans-2-{4-[4-(N,N-diethylamino)styryl]styryl}-1,3-benzothiazole and trans,trans-2-{4-[4-(N,N-diphenylamino)styryl]styryl}-1,3-benzothiazole.Both compounds show strong two-photon excited fluorescence in yellow-orange region when excited by a femtosecond laser at 800nm.