SiH_4与Na、Mg和Be等金属氢化物分子间反向氢键相互作用

在B3LYP/6-311++g**、MP2/6-311++g(3df,3pd)及MP2/aug-cc-pvtz水平上分别求得H3SiH…MeHn(Me=Na,Mg,Be;n=1或2)复合物势能面上的3个稳定构型,探讨了以Si-H为电子供体的红移反向氢键相互作用(IHB).经MP2/6-311++g(3df,3pd)水平的计算,在3个复合物中,含基组重叠误差(BSSE)校正的单体间相互作用能分别为-5.98、-8.65和-3.96kJ.mol-1,与MP2/aug-cc-pvtz水平下计算得到的-6.18、-9.12和-4.28kJ·mol-1接近,可见3个反向氢键复合物的相对稳定性顺序为:SiH4...MgH2SiH4...NaHSiH4...BeH2.NBO分析及对相关原子化学位移的计算表明,在复合物中,电子流向总体表现为SiH4→MeHn(n=1或2),且直接参与反向氢键形成的H3的化学位移向低场移动.与传统氢键相比,这里Si1-H3既是氢键供体,又是电子供体,从而形成反向氢键相互作用.另外,采用分子中原子理论(AIM)分别对各复合物中相关键鞍点处的电子密度拓扑性质进行了分析,结果表明3个复合物中均存在以静电性质为主的分子间反向氢键弱相互作用.     

一类近似共振的半线性椭圆问题的多重解

用环绕方法证明了一类半线性薛定谔方程三个非平凡解的存在性.     

The left and right inverse eigenvalue problems of generalized reflexive and anti-reflexive matrices

Let n×n complex matrices R and S be nontrivial generalized reflection matrices, i.e., R^∗=R=R⁻¹≠±I_n, S^∗=S=S⁻¹≠±I_n. A complex matrix A with order n is said to be a generalized reflexive (or anti-reflexive ) matrix, if RAS=A (or RAS=−A). In this paper, the solvability conditions of the left and right inverse eigenvalue problems for generalized reflexive and anti-reflexive matrices are derived, and the general solutions are also given. In addition, the associated approximation solutions in the solution sets of the above problems are provided. The results in present paper extend some recent conclusions.     

数据分组和右截尾情形下混合指数分布的参数估计

混合模型是可靠性工程,金融保险和计量经济学等领域中的一类重要模型。本文利用EM算法考虑了混合指数分布在分组数据和右截尾情形下的参数估计问题,并给出了相应的参数估计公式,最后的数值模拟表明EM算法对我们的模型是有效的。     

木犀草素和铬离子配合物抗氧化性能及与过氧化氢自由基反应的机理

用密度泛函理论计算研究了木犀草素与Cr(Ⅲ)-木犀草素配合物的结构及它们的羟基键解离能。计算讨论了木犀草素与过氧化氢自由基反应的详细机理,并且用自然键轨道理论分析了氢原子转移机制。为了进一步验证理论研究所得出的结论,本工作还从实验角度进行了研究,结果表明,铬离子配合物清除过氧化氢自由基能力高于木犀草素,其实验结果与计算结果符合良好。     

2-氢吡喃分子光激发开环反应机理的理论研究

用完全活性空间多组态(CASSCF)方法对2-氢吡喃分子光激发开环反应机理进行了研究。利用价键理论(VB)和自然键道分析(NBO)探究了沿能量最低反应途径电子的重新分布情况。计算结果表明从S0-Min p®p*垂直激发到Franck-Condon点后很容易弛豫到S1-Min,经较低的势垒到达圆锥交叉点S1/S0。而S1/S0与S1-Min相比能量低0.63eV。这样体系沿非绝热最低反应途径从激发单重态经交叉点S1/S0很容易得到产物S0-Prod。     

Reversible Addition‐fragmentation Chain Transfer Polymerization Grafted from Silicon Surface to Prepare Poly(methyl methacrylate) Brushes

通过共价键锚固链转移剂4-氰基-4-二硫代苯甲酰基戊酸琥珀酯于硅片表面,然后采用可逆加成-断裂链转移（RAFT）自由基聚合方法制备了聚甲基丙烯酸甲酯（PMMA）高分子刷. 聚合动力学研究表明,在反应进行2小时后,PMMA的厚度随聚合时间的增大而几乎呈线性增大,具有明显的活性聚合特征. 用椭圆偏光仪、X-光电子能谱（XPS）、原子力显微镜（AFM）及接触角测试对硅片表面的PMMA高分子刷进行了表征.     

Theoretical study of spin–orbit coupling and kinetics in spin-forbidden reaction between Ta(NH2)3 and N2O

The activation mechanism of the nitrous oxide (N₂O) with the Ta(NH₂)₃ complex on the singlet and triplet potential energy surfaces has been investigated using the hybrid exchange correlation functional B3LYP. The minimum energy crossing point (MECP) is located by using the methods of Harvey et al. The rate-determining step of the N–O activation reaction is the intersystem crossing from ¹ 2 to ³ 2. The reacting system will change its spin multiplicities from the singlet state to the triplet state near MECP-1, which takes place with a spin crossing barrier of 32.5 kcal mol^?1, and then move on the triplet potential energy surface as the reaction proceeds. Analysis of spin–orbit coupling (SOC) using localized orbitals shows that MECP-1 will produce the significant SOC matrix element, the value of SOC is 272.46 cm^?1, due to the electron shift between two perpendicular π orbitals with the same rotation direction and the contribution from heavy atom Ta. The rate coefficients are calculated using Non-adiabatic Rice-Ramsperger-Kassel-Marcus (RRKM). Results indicate that the coefficients, k(E), are exceedingly high, k(E) > 10¹² s^?1, for energies above the intersystem crossing barrier (32.5 kcal mol^?1); however, in the lower temperature range of 200–600 K, the intersystem crossing is very slow, k(T) < 10^?6 s^?1.     

醛酮类有机物中羰基氧原子的杂化状态

有机化学教科书及有关专著对羰基中氧原子的杂化状态，存在着不一致的观点。羰基中氧原子的杂化状态，在一定程度上会影响羰基的极性强弱，进而对羰基的化学性质产生细微的影响，特别是对其亲电加成反应活性的潜在影响。借助理论计算，发现醛、酮分子中羰基氧与碳成键时既不是彻底的sp2杂化状态，也不是非杂化直接成键，而是采用了一种介于sp2与非杂化之间的一种成键状态。     

Quantum chemical study on insertion and abstraction reaction of dichlorocarbene with methyl alcohol and methyl mercaptan

The insertion and abstraction reaction mechanisms of singlet and triplet CCl₂ with CH₃MH (M=O, S) have been studied by using the DFT, NBO and AIM methods. The geometries of reactions, the transition state and products were completely optimized by B3LYP/6–311G(d, p). All the energy of the species was obtained at the CCSD(T)/6–311G(d, p) level. The calculated results indicated that the major pathways of the reaction were obtained on the singlet potential energy surface. The singlet CCl₂ can not only trigger the insertion reaction with C-H and M-H in four pathways, by which the products P1 [CH₃OCHCl₂, reaction I(1)], P3[Cl₂HCCH₂OH, reaction I(2)], P5[CH₃SCHCl₂, reaction II(1)] and P7[Cl₂HCCH₂SH, reaction II(2)] are produced respectively, but also abstract M-H, resulting P4 [CH₂O+CH₂Cl₂, reaction I(3)] and P8[CH₂S+CH₂Cl₂, reaction II(3)]. In addition, the important geometries in domain pathways have been studied by AIM and NBO theories. Supported by the National Natural Science Foundation of China (Grant No. 20335030) and Foundation of Education Committee of Gansu Province (Grant No. 0708-11)