A new theory for symmetry orbital and tensor (Ⅱ)——Symmetric reduction of molecular integrals and self-consistent field calculations

The symmetry orbital-symmetry orbital tensor method is applied to the evaluation of molecular integrals (one-electron and two-electron integrals) and the symmetry-orbital-tensor and self-consistent-field (SOT-SCF) calculations. A calculation scheme is proposed to simplify the evaluation of integrals and a key equation is derived to reduce the computation efforts in SCF iterations. According to the key equation, compared with the traditional SCF method, the computation efficiencies including CPU timing and external disk (or internal memory) requirement increase in the magnitude of the square of the order of a point group. The new SOT method is expected to be useful in the theoretical calculations of large molecular systems of high point group symmetries.     

丙烯和甲苯的超共轭效应的理论研究

用从头算对丙烯和甲苯2个超共轭体系进行计算,结果表明甲基上氢原子参与超共轭时,其碳氢键键长增大,氢上集居数减少,丙烯、甲苯的甲基旋转势垒为7.61及0.096 kJ/mol.超共轭基作用相当于一带有孤对电子参与共轭之杂原子,超共轭体系不同构型稳定性可用M=sum from i=1 to 3(sinθ_i[sin(θ_i-α)+sinα])来表征。     

大基组在价键计算中的处理

编写了普适性的多键表自洽场程序，该程序能对单电子轨道展开系数和键表系数同时优化，其中单电子轨道的展开空间可任意定义，实际计算建议采用“杂化”轨道形式，即每个单电子轨道只对一个原子的基函数展开。对Ｈ２、Ｌｉ２及ＨＬｉ采用不同基组进行计算，结果表明用３个键表自洽计算所得能量与ＭＰ２结果相近，且我们的计算对键的共价性和离子性分析非常直观。     

建立在群对称轨道(SMO)及特征组态(CD)基础上的线性分子SMO-CDCI方法

定义和讨论了线性分子的群对称轨道（SMO）及特征组态函数（CD），它能够对线性分子的分子轨道与组态函数进行简单而完全的对称分类．SMO－CDCI方法是一种高效的计算方法，大大节省了线性分子CI计算的机时与内存．     

对取代苯Ph—X（X=—f,OH,NH2）的价键理论研究

采用键表酉群方法对Ｃ６Ｈ５Ｆ，Ｃ６Ｈ５ＯＨ和Ｃ６Ｈ５ＮＨ２中的电子离域现象进行了计算和分析，讨论了取代苯的价键描述特性，并计算了取代基的π电子离域能。结果表明离子结构成分与离域能有直接关系。即离子成分越，电子高域能越大。     

Ab initio Valence Bond Study on AB-type Molecules,A Description for XH(X=L,Be,B,C,N,O,F) and XF(X=Li,Be,B)

Ab initio valence bond method is employed to quantitatively study the concepts of ionic resonance energy and ionicity of a chemical bond in the cases of hydrides XH(X=Li,Be,B,C,N,O,F) and fluorides XF(X=Li,Be,B),By establishing the relationship between resonance and stability,and comparing the calculated ionicities with Pauling‘s earlier estimations in the above diatomic molecules,the merits of Pauling‘s classical resonance theory were demonstrated at the ab initio level.     

XH-NH3(X=F,Cl,Br)质子传递的溶剂效应:簇模型,连续介质模型和离散-连续组合模型的比较

分别采用分子簇模型、连续介质模型和离散-连续组合模型研究了XH-NH3(X=F，Cl，Br)分子内质子传递的溶剂效应．结果表明，对于弱酸性化合物FH-NH3，其溶剂效应主要为短程作用，3个H2O分子即可使其发生质子传递，而简单的连续介质模型得到的仍为分子化合物形式，需进一步包含溶剂效应短程作用．对于强酸性化合物ClH-NH3和BrH-NH3，较弱的溶剂效应即可促使其发生质子传递，分子簇模型和连续介质模型均可合理描述，且与离散-连续组合模型的结果相近．离散-连续组合模型既在从头算水平考虑了溶质分子和第一溶剂化层中溶剂分子间的短程作用，又包含了溶剂效应的长程静电作用，能更准确地描述溶剂化作用，且对弱酸性化合物和强酸性化合物体系均适用．     

Orbital deletion procedure and its applications

The orbital deletion procedure is introduced, which is suited to quantitatively investigating the electronic delocalization effiect in earboeations and boranes. While the routine, ab initio molecular orbital methods can generate wavefunetions for real systems where all electrons are delocalized, the present orbital deletion procedure can generate wavefunctions for hypothetical reference molecules where electronic delocalization effect is deactivated. The latter wavefunetion normlly corresponds In the most stable resonance structure in terms of the resonance theory. By comparing and analyzing the delocalized and the localized wavefunetions, one can obtain a quantitative and instinct pieture to show how electronic deloealizalion inside a molecule affects the molecular structure, energy as well as other physical properties. Two examples are detailedly discussed. The first is related to the hypercoujugation of alkyl groups in carbocations and a comparison of the order of stability of carbocations is made, T     

块定域波函数方法及其应用

提出了块定域波函数方法以定量分析分子内的电子定域现象或分子间的电荷传递效应。对于一个假想的严格定域的分子,我们通过将全部的电子和基轨道配分成几个子空间来构造其相应的波函数。其中每一个分子轨道只对某一个子空间展开,各子空间内的分子轨道相互正交,但不同子空间内的分子轨道间是非正交的。Hartree-Fock波函数和块定域波函数之间的能量之差即为分子内的电子定域能或分子间的电荷传递能。我们应用块定域波函数方法讨论了丁二烯分子中的旋转势垒。