The v-v energy transfer of highly vibrationally excited states (I)

The relaxation of the highly vibrationally excited CO (v = 1–8) by CO₂ is studied by timeresolved Fourier transform infrared emission spectroscopy (TR FTIR). 193 nm laser photolysis of the mixture of CHBr₃ with O₂ generates the highly vibrationally excited CO(v) molecules. TR FTIR records the intense infrared emission of CO(v→v-1). The vibrational populations of each level of CO(v) have been determined by the method of spectral simulation. Based on the evolution of the time resolved populations and the differential method, 8 energy transfer rate constants of CO(v = 1–8) to CO₂ molecules areobtained: (5.7±0.1), (5.9±0.1), (5.2±0.2), (3.4±0.2), (2.4±0.3), (2.2±0.4), (2.0±0.4) and (1.8±0.6) (10¹⁴ cm³ · molecule⁻¹ · s⁻¹), respectively. A two-channel energy transfer model can explain the feature of the quenching of CO(v) by CO². For the lower vibrational states of CO, the vibrational energy transfers preferentially to the u³ mode of CO² For the higher levels, the major quenching channel changes to the vibrational energy exchange between CO(v→v-1) and the u¹ mode of CO².     

The v-v energy transfer of highly vibrationally excited states (II)

The vibrational energy transfer from highly vibrationally excited CO to H₂O molecules is studied by time-resolved Fourier transform infrared emission spectroscopy (TR FTIR). Following the 193 nm laser photolysis of CHBr₃ and O₂ the secondary reactions generate CO(v). The infrared emission of CO(v → v−1) is detected by TR FTIR. The excitation of H₂O molecules is not observed. By the method of the spectral simulation and the differential technique, 8 rate constants for CO(v)/H₂O system are obtained: (1.7 ±0.1), (3.4 ±0.2), (6.2 ±0.4), (8.0 ±1.0), (9.0 ±2.0), (12 ±3), (16 ±4) and (18 ±7) (10¹³cm³ · molecule^-1· s^-1). At least two reasons lead to the efficient energy transfer. One is the contributions of the rotational energy to the vibational energy defect and the other is the result of the complex collision. With the SSH andab initio calculations, the quenching mechanism of CO(v) by H₂O is suggested.     

Preparation of InSb nanocrystals embedded in SiO2 thin films

InSb nanocrystals embedded in SiO₂ thin films were prepared by rf magnetron cosputtering technique. THe observation by transmission electron microscope showed that InSb nanocrystals dispersed uniformly in SiO₂ matrices. InSb nanocrystals with different sizes can be obtained by changing the annealing condition. The average size of InSb nanocrystals depended on annealing temperature and time, but not on the t_1/3 rules. X-ray photoelectron spectroscopy and X-ray diffraction were also applied to the analyses of the composite thin films.     

量子盒的弹道电导

应用量子力学波函数阻抗匹配方法,作者研究了准一维无相互作用电子气通过量子盒的弹道传播。在通过量子盒时,电子除受到盒边界的弹性散射外是自由的。作者计算了量子盒电导作为盒长度和宽度的函数。计算结果表明,当长度较短时,电导显示带有规则脉冲振荡的确定的量子化台阶;随着长度的增加,电导曲线逐渐趋于无规振荡的图样。     

强受限半导体量子点的形状对受限激子的影响

在有效质量近似下,采用无限深势阱模型研究了强受限范围内球形、圆柱形、立方形半导体量子点的形状对受限激子的影响。结果表明对于采用体激子的等效Ｒｙｄｂｅｒｇ能量Ｒ＾＊比较大的材料制备的量子点,其形状带来的影响是显著的。     

实代数数的代数表达式的符号判定

将符号计算方法与数值计算方法结合起来应用于计算机代数领域,构造了一种判定实代数数的代数表达式的符号的算法,并在计算机数学系统上加以实现,算法的基本思想是对每一个实代数数ａ定义了一个二元组（Ｉ,ｆ（ｘ））,其中Ｉ是包含ａ的区间,ｆ（ｘ）是ａ所满足的多项式,并将代数数的运算转化为对应的二元组的运算,同时结合多项式的根的最短距离估计式,从而达到对代数数的代数表达式进行符号判定的目的。     

A（n,4）与A（n,5）的精确公式与简单公式

设Ａ（ｎ,ｋ）表示不定方程ｋ∑ｉ＝１ｉｘｉ＝ｎ非负整数解的个数,给出了Ａ（ｎ,４）与Ａ（ｎ,５）的精确公式及求得应简单公式的方法。     

非平稳正态过程水平上穿过的期望次数

设｛Ｘ（ｔ）,０≤ｔ≤Ｔ｝是标准正态过程且以概率１有连续的样本函数。探讨了对于水平ｎ〉０过程中穿过的期望次数,给出了几个涉及相关函数的条件。     

奇异值估计的Brauer型定理

设Ａ＝（ａｉｊ）为ｎ阶复矩阵．记ｓｉ＝ｍａｘ∑ｊ≠ｉ｜ａｉｊ｜,∑ｊ≠ｉ｜ａｊｉ｜｛｝,ａｉ＝｜ａｉ｜（ｉ＝１,２,…,ｎ）．证明了Ａ的奇异值均属于Ｂｒａｕｅｒ型并集∪ｉ≠ｊｚ≥０：｜ｚ－ａｉ｜｜ｚ－ａｊ｜≤ｓｉｓｊ｛｝,并给出了该并集的显式表达及数值例子．     

复Fuzzy函数的连续性与可微性刻划

在复Ｆｕｚｙ数度量空间上讨论复Ｆｕｚｙ函数,刻划了复Ｆｕｚｚｙ函数的连续性与可微性。给出复Ｆｕｚｚｙ函数连续的３个等价条件,局部连续亏量等于零;与某个连续函数的序列距离等于零;局部连续差距等于零。引进复Ｆｕｚｙ函数Ｆｕｚｚｙ连续的概念,给出复Ｆｕｚｚｙ连续的３个等价条件,局部连续值大于零;与某个连续函数的序列距离有限;点有界。并进一步给出复Ｆｕｚｚｙ函数可微的充分必要条件,即它的支撑函数可微等结果。