Electron Momentum Distributions for 4a1 Orbitals of CFxCl4-x in Low Momentum Region： a Possible Evidence of Molecular Geometry Distortion

Electron momentum distributions for 4a1 orbitals of serial freon molecules CFaC1, CF2Cl2, and CFCl3 （CFxC14-x, x=1-3） have been reanalyzed due to the severe discrepancies between theory and experiment in low momentum region. The tentative calculations using equilibrium geometries of molecular ions have exhibited a great improvement in agreement with the experimental data, which suggests that the molecular geometry distortion may be responsible for the observed high intensities at p〈0.5 a.u.. Further analyses show that the severe discrepancies at low momentum region mainly arise from the influence of molecular geometry distortion on C-Cl bonding electron density distributions.     

烷基吡啶及氯化铝正负离子结构的密度泛函研究

采用量子化学密度泛函方法对N-烷基吡啶阳离子和阴离子AlCl4-,Al2Cl7-和Al3Cl10-进行了全优化计算,得到了阴阳离子的几何构型和净电荷分布.计算发现,吡啶环上的电子数符合4n 2规则,具有芳香性.吡啶阳离子的LUMO轨道主要由环上原子的2pz所贡献,是反键π分子轨道.AlCl4-,Al2Cl7-和Al3Cl10-的HOMO轨道主要由Cl原子的2px所贡献.推测吡啶阳离子的LUMO与阴离子的HOMO相互作用形成离子液体分子.     

2,8(4,6)-二取代半瞬烯及其BCO衍生物的Cope重排

运用从头计算量化方法计算了一系列Cope重排的2,8(或4,6)-二取代半瞬烯(1和2), 以及2,8:4,6-四取代半瞬烯(3和4)的过渡态结构、活化能、能量差和核独立化学位移. 在2,8(或4,6)-二取代半瞬烯体系里, π电子基均使得Cope重排向2进行, 这与Hoffmann早年对此的定性预测相反. 它们的过渡态是离域双同芳香性的. 本文重点讨论了π电子基与BCO共同取代的2,8:4,6-四取代半瞬烯体系, 由于BCO的稳定效应和π电子基共轭效应, π电子基均使得结构4具有优先稳定性, 其Cope重排活化能也大大降低甚至消除. 随着卤素主量子数的变化, 它们的取代半瞬烯Cope重排相关参数也有相应的规律性变化.     

(HAINH)_n(n=1～6)簇的结构、红外光谱和热力学性质的研究

用自洽场理论(HF)和密度泛函理论(DET)的B3LYP方法,在6-31G~μ水平上研究了HAINH的低聚物(HAINH)_n(n=1～6)簇的几何构型、电子结构、红外光谱和化学热力学性质,并比较了(HAINH)_n和(CIAINH)_n两种低聚物对应结构中化学键强弱,分析了引起(AIN)_n骨架结构发生变化的原因.结果表明,(HAINH)_n簇的基态结构为C_8(n=1),D_(2h)(n=2),D_(3h)(n=3),T_d(n=4),C_s(n=5)和D_(3d)(n=6)对称点群.HAINH基态结构中,AI-N键是三重键.在D_(2h)(n=2)和D_(3h)(n=3)结构中,所有AI-N键均为二重键.在Td(n=4)和D_(3d)(n=6)中,AI-N键为正常单键,而在C_s(n=5)结构中含有三种AI-N键:单键、双键和混合键.振动频率计算表明,结构a～f均为基态稳定结构.热力学计算给出的稳定性顺序为:f>d>e>c>b>a.     

具有工作故障及有限容量的MAP/M/1排队系统性能分析

为了拓展随机排队理论,在具有工作故障的MAP/M/1排队的基础上,引入有限容量策略建立起一个新的排队模型.通过Uniformization Technique将连续时间排队模型转化成对应的离散时间排队模型,运用矩阵几何组合解给出系统中的顾客数量和服务器状态的联合稳态概率表达式,并给出基于稳态概率的性能指标.最后通过一些...     

13顶点金属碳硼烷结构和非线性光学性质的DFT研究

采用量子化学密度泛函理论(DFT)B3LYP/6-31G(d)方法,对4,1,6-MC2B10H1213顶点金属碳硼烷几何构型进行优化,结合有限场(FF)方法计算了它们的极化率和二阶非线性光学(NLO)系数.结果表明,十个13顶点金属碳硼烷分子中1a～6a的二阶NLO系数与其构型纵向扩张呈现相同的规律.分子的前线分子轨道能级差越小,其二阶NLO系数越大.对于不同自旋态的同种金属碳硼烷分子,其偶极矩值为高自旋态大于相应的低自旋态,极化率和二阶NLO系数与自旋多重度没有一致的对应规律,自旋多重度对NLO性质影响不大.     

Theoretical Study of Small Water Clusters of Sulfur Dioxide

The intermolecular clusters of sulfur dioxide with water, SO2(H2O)n (n = 2～5), are studied by using B3LYP density functional theory and MP2 ab initio methods along with the large basis sets (6-311++G(d,p) and aug-cc-pVDZ). The equilibrium geometries, intermolecular binding energies, and anharmonic frequencies of the clusters are calculated and compared with those of pure water clusters and available experiments. SO2 tends to form cyclic hydrogen-bonded complexes with two or three water molecules. In the larger clusters, however, water molecules begin to retain the structure of pure water clusters and segregate from SO2. Infrared absorption assignments for the small clusters are discussed to resolve a possible incorrect assignment in a recent spectroscopic experiment on the clusters.     

《广义相对论入门讲座》连载③——黎曼几何中的张量

1黎曼几何的建立几何学起源于古埃及尼罗河水泛滥后土地的丈量.公元前300年左右的数学家欧几里得总结和发展前人积累的知识,完成了《几何原本》一书,搭起了欧几里得几何学的框架.欧氏几何,以它逻辑的严密,形式的完备和优美,两千年来为数学家和哲学家所倾倒.唯一使人感到美中不足的是它的第五公设,即平行公理.此公理说,"过直线外的一点,可以引一条、并且只能引一条直线与原直线平行(不相     

FREE VIBRATION ANALYSIS OF LATTICE SANDWICH BEAMS UNDER SEVERAL TYPICAL BOUNDARY CONDITIONS

Free vibration problems of lattice sandwich beams under several typical boundary conditions are investigated in the present paper. The lattice sandwich beam is transformed to an equivalent homogeneous three-layered sandwich beam. Unlike the traditional analytical model in which the rotation angles of the face sheets and the core are assumed the same, different rotation angles are considered in this paper to characterize the real response of sandwich beams. The analytical solutions of the natural frequencies for several typical boundary conditions are obtained. The effects of material properties and geometric parameters on the natural frequencies are also investigated.     

基于拼接的大视场虚拟现实头戴显示装置

虚拟现实技术是头戴显示技术的一个重要分支。为了提高虚拟现实头戴显示装置的视场角,获得更高的沉浸感,设计了一种基于视场拼接原理的大视场虚拟现实头戴显示装置。利用4套横向视场角为80°,且完全相同的目视光学系统,通过拼接实现大视场虚拟现实头戴显示。本装置的双目横向视场角为162°,其中每个单目系统的横向视场角为126°,双目重叠视场角为90°。