关于三重积分的计算

本文考虑学生学习数学分析的一个难点-三重积分的计算。首先对体V进行了分类,然后对各种类型的体V举例说明了计算方法.通过实践检验,用这样的方法,学生学习的效果很好.     

The Unique Gas‐Phase Chemistry of the [AuO]+/CH4 Couple: Selective Oxygen‐Atom Transfer to,Rather than Hydrogen‐Atom Abstraction from,Methane

The thermal reaction of [AuO]⁺ with methane has been explored using FT‐ICR mass spectrometry complemented by high‐level quantum chemical calculations. In contrast to the previously studied congener [CuO]⁺, and to [AgO]⁺, [AuO]⁺ reacts with CH₄ exclusively via oxygen‐atom transfer to form CH₃OH, and a novel mechanistic scenario for this selective oxidation process has been revealed. Also, the origin of the inertness of the [AgO]⁺/CH₄ couple has been addressed computationally.     

苯基叠氮在光吸收激发态上的结构动力学-共振拉曼和量子力学计算研究

采用共振拉曼光谱学和完全活化空间自洽场方法研究了苯基叠氮被激发到S₂(A')、S₃(A')和S₆(A')光吸收态后的结构动力学. 基于傅立叶变换拉曼、傅立叶变换红外、紫外、密度泛函计算和简正模式分析,指认了紫外吸收光谱和振动光谱. 获得了环己烷、乙腈和甲醇溶剂中273.9、252.7、245.9、228.7、223.1和208.8 nm等不同激发波长下的A、B和C带共振拉曼光谱,以探测Franck-Condon区域的结构动力学. CASSCF计算获得了单重电子激发态能量最低点和势能面交叉点的电子激发能和优化几何结构. 结果表明,苯基叠氮在S₂(A')、S₃(A')和S₆(A')态上的激发态结构动力学各不相同. 与Kasha规则相符,S₂S₁(1)和S₂S₁(2)势能面交叉点在S₂(A')激发态衰变动力学和N7=N8键解离中扮演着重要角色. 提出了两条主要衰减通道：S_2,min→S₀辐射通道和S_2,FC(ππ^*)→S₂(ππ^*)/S₁(nπ^*)→S₁(nπ^*)非辐射通道.     

蒙特卡罗临界计算全局计数效率新算法研究

为提高蒙特卡罗临界计算时全局计数的整体效率, 对比分析了新提出的均匀计数密度算法、均匀径迹数密度算法和原有的均匀裂变点算法. 以大亚湾核反应堆pin-by-pin模型的全局体平均通量计数和中子沉积能计数为例, 前两种算法较均匀裂变点算法都获得了整体效率的提高. 上述算法已经在自主开发的并行蒙特卡罗输运程序JMCT上予以实现.     

单层SbAs和BiSb的表面修饰调控

基于密度泛函理论的第一性原理计算,研究了V族二维层状材料SbAs和BiSb在全氢化和全氟化后体系的晶体结构、稳定性和电子结构.计算结果表明,全氢化后SbAs和BiSb由buckled结构转变为准平面结构,而全氟化后则转变为low-buckled结构.同时,本征、全氢化和全氟化的SbAs和BiSb均具有很好的稳定性,具备实验合成的可能性.电子结构的分析表明,全氢化和全氟化后SbAs和BiSb均由宽带隙半导体转变为窄带隙的直隙半导体,且其能带结构仍具有很好的线性色散.通过对准平面和low-buckled结构SbAs和BiSb电子结构的进一步分析,揭示了全氢化和全氟化后体系能带变化的原因.在h-BN衬底上的计算结果显示,由于两者间的弱耦合作用,使得全氢化和全氟化SbAs的直隙半导体特征得以保留,表明其在未来光电子设备等领域中具有广泛的应用前景.     

A diagnostic tool for determining the quality of accuracy validation. Assessing the method for determination of nitrate in drinking water

Realistic internal validation of a method implies the performance validation experiments under intermediate precision conditions. The validation results can be organized in an X _Nr×Ns (replicates×runs) data matrix, analysis of which enables assessment of the accuracy of the method. By means of Monte Carlo simulation, uncertainty in the estimates of bias and precision can be assessed. A bivariate plot is presented for assessing whether the uncertainty intervals for the bias (E ± U(E)) and intermediate precision (RSDi ± U(RSDi) are included in prefixed limits (requirements for the method). As a case study, a method for determining the concentration of nitrate in drinking water at the official level set by 98/83/EC Directive is assessed by use of the proposed plot.     

Spectroscopic calculation of the bond-dissociation energy of CH bonds in fluoro derivatives of methane,ethane, ethene,propene, and benzene

The bond-dissociation energy of CH bonds in fluoro derivatives of methane, ethane, ethene, propene, and benzene is determined by spectroscopic and quantum chemical methods. The spectroscopic values of the bond-dissociation energy of CH bonds are calculated in terms of fundamental absorption bands in the anharmonic approximation by the variational method using the Morse anharmonic basis. The quantum chemical calculations are performed using the 6-311G(3df, 3pd)/B3LYP basis set. The obtained regularities in variations of the CH bond dissociation energy values upon changes in the molecule structure are discussed.     

不同电磁脉冲对细导线的耦合

 采用时域有限差分法,结合细线处理方法,分别对超宽带电磁脉冲、快前沿电磁脉冲和核电磁脉冲在自由空间细导线上耦合的电流进行了数值计算,得出了不同前沿和脉宽的电磁脉冲在细导线上的感应电流。     

一个高精度收敛的变系数微分方程精确解析法*

文[1]给出精确解析法,可用于求解任意变系数微分方程,所得到的解具有二阶收敛精度.在此基础上,本文以变截面梁弯曲为例,给出一个高精度的算法.不增加工作量的情况下可达到四阶收敛精度.具有计算快,简单等特点,文末给出算例,仅用很少的单元即可获得高的收敛精度,表明了本文理论的正确性.     

烷基对取代锂氟类硅烯R2SiLiF的构型和热稳定性的影响

利用从头计算法研究了二甲基锂氟类硅烯和二乙基锂氟类硅烯的各异构体的构型和能量.烷基的引入增加了Si的σ电子对Li的授与而降低了F对Si空p轨道的电子回授,使类硅烯的p-络合物构型热稳定性下降,而σ-络合物热稳定性增加.在上述两种作用的共同影响下,三元环构型的热稳定性只有很小的变化.