CnBδ(δ=0, ±1; n =1～6)团簇的结构、稳定性和光谱

采用密度泛函理论(DFT)的B3LYP方法,在6-31G*和6-311＋G(3df)水平上对C_nB(n=1～6)团簇及其阴离子和阳离子的几何构型和电子结构进行了优化和振动频率计算.得到了C_nB(n=1～6)团簇的电离能,绝热电子亲合势以及C_nB^δ(δ=0,±1)团簇的能隙.结果表明C_nB^－(n=1～6)团簇的基态构型均为线形,这与等电子的C_n簇合物的结构是一致的; C_nB(n=1～6)团簇的基态构型中,除C₂B为不对称的三角形,C₆B为具有C_2v对称性的环状结构外,其余均为线形结构.阳离子团簇中n=2、3、6的基态结构具有C_2v对称性外,其它几个均为线形结构.从几何参数和振动频率上发现,采用密度泛函B3LYP方法在6-311＋G(3df)和6-31G*两种基组上计算得到的键长参数和振动频率非常接近,说明B3LYP方法在计算C_nB簇合物结构参数上对于基组的选择是不太敏感的.通过对C_nB(n=1～6)的光电子能谱性质的研究发现,C₄B容易获得一个电子形成阴离子团簇,但失去一个电子是很困难的,这与实验上观测到的结果非常吻合.     

气相中CrO2+活化甲烷C—H键的理论研究

用密度泛函UB3LYP/6-311＋＋G**方法计算研究了气相中CrO₂⁺ (²A₁/⁴A")活化甲烷C—H键的微观机理, 找到了四条反应通道. 对其中涉及的两态反应(TSR)进行了分析, 并对影响反应机理和反应速率的势能面交叉现象(potential energy surfaces crossing)进行了详细讨论, 进而运用Hammond假设和Yoshizawa等的内禀坐标单点垂直激发计算的方法找出了一系列势能面交叉点[crossing points (CPs)], 并作了相应的讨论. 进一步用碎片分子轨道理论[fragment molecular orbital (FMO)]对TS1中的轨道相互作用进行了分析, 解释了CrO₂⁺活化甲烷C—H键的机理.     

X@(HAlNH)12和X(HAlNH)12 (X＝F－, Cl－, Br－, O2－, S2－, Se2－)复合物的结构和稳定性

用DFT的B3LYP方法在6-31G(d)基组的水平上, 对闭式多面体簇合物(HAlNH)₁₂及其内含式X@(HAlNH)₁₂和外接式X(HAlNH)₁₂ (X＝F^－, Cl^－, Br^－, O^2－, S^2－, Se^2－)复合物的结构进行了构型优化和能量计算, 并讨论了几何构型、自然键轨道(NBO)、振动频率、能量参数及NMR数据与结构的关系, 最后得到复合物结构的稳定性信息, 具有T_h对称性的X@(HAlNH)₁₂ (X＝F^－, Cl^－, Br^－, S^2－, Se^2－)复合物和具有C₃对称性的O^2－@(HAlNH)₁₂复合物为内含式的基态结构, 从能量角度分析, 内含式复合物比外接式复合物的结构稳定.     

X@(HAlNH)12和X(HAlNH)12 (X＝F－, Cl－, Br－, O2－, S2－, Se2－)复合物的结构和稳定性

用DFT的B3LYP方法在6-31G(d)基组的水平上, 对闭式多面体簇合物(HAlNH)₁₂及其内含式X@(HAlNH)₁₂和外接式X(HAlNH)₁₂ (X＝F^－, Cl^－, Br^－, O^2－, S^2－, Se^2－)复合物的结构进行了构型优化和能量计算, 并讨论了几何构型、自然键轨道(NBO)、振动频率、能量参数及NMR数据与结构的关系, 最后得到复合物结构的稳定性信息, 具有T_h对称性的X@(HAlNH)₁₂ (X＝F^－, Cl^－, Br^－, S^2－, Se^2－)复合物和具有C₃对称性的O^2－@(HAlNH)₁₂复合物为内含式的基态结构, 从能量角度分析, 内含式复合物比外接式复合物的结构稳定.     

气相中CrO2+和H2反应的理论研究

用密度泛函UB3LYP/6-311++G(3df, 3pdpd)//6-311G(2dd, p)方法计算研究了在二重态和四重态两个势能面上的气相反应：CrO₂⁺ + H₂→CrO⁺+ H₂O. 对影响反应机理和反应速率的势能面交叉进行了讨论, 并运用Hammond 假设和Yoshizawa 等的内禀反应坐标(IRC)单点垂直激发计算的方法找出了势能面交叉点(crossing point (CP)). 运用碎片分子轨道(fragment molecular orbital(FMO))理论, 对初始复合物2IM1和4IM1的轨道相关进行了分析, 解释了CrO₂⁺活化H—H σ键及H₂迁移的机理.     

YS+(1Σ+, 3Φ)与COS气相反应: YS++COS→YS2++CO的理论研究

采用密度泛函B3LYP方法研究了硫化钇离子YS⁺ (¹Σ⁺, ³Φ)与硫转移试剂COS在气相中的反应: YS⁺+COS→YS₂⁺+CO. 在单重基态和三重激发态势能面上都找到了四条反应通道. 但是除一条反应通道之外, 其他的反应机理和几何结构变化趋势在不同的势能面上有很大不同. 实验中生成YS₂⁺ 所表现出的吸热特征来自于在基态反应中的三条通道(A, B和C), 其活化势垒分别为28.3, 140.5和120.2 kJ·mol^-1. 计算结果表明硫转移反应没有双态反应活性, 因此产物YS₂⁺ 在低能量区的放热特征是由于基态反应物中还混有残留的激发态YS⁺.     

苯硫酚各种形态在金上的拉曼光谱研究

用Gaussian 98程序在B3LYP/6-311＋G**(C, H, S)水平上计算得到苯硫酚(TP)的一套校正因子, 对苯硫酚各频率进行了势能分布(PEDs)分析, 并对各振动模式进行了详细的指认. 同时, 在B3LYP/6-311＋G**(C, H, S)/LANL2DZ(Au)水平上优化得到苯硫酚的各种形态与金结合, 即C₆H₅SH-Au, C₆H₅SAu, C₆H₅S^－-Au的平衡构型, 且在此基础上得到了C₆H₅SH-Au, C₆H₅SAu, C₆H₅S^－-Au三种形态的计算拉曼谱图. 其中苯硫酚金盐(C₆H₅SAu)的拉曼谱图与实验得到的苯硫酚在金溶胶中的谱图是一致的, 由此很好地证明了TP与金形成苯硫酚金盐.     

气相中Sc+和Ti+与CS2反应的计算研究

以Sc⁺和Ti⁺与CS₂反应作为第一前过渡金属离子与CS₂反应的范例体系. 采用密度泛函(UB3LYP/6-311+G*)方法计算研究了Sc⁺和Ti⁺在基态和激发态与CS₂反应的反应机理. 全参数优化了反应势能面上各驻点的几何构型, 用频率分析方法和内禀反应坐标(IRC)方法对过渡态进行了验证. 计算了不同多重度下的反应交叉势能面. 确定了Sc⁺和Ti⁺与CS₂的反应为插入-消去反应, 找到了基态和激发态金属离子与CS₂反应的主要通道.     

金(I)配合物催化乙烯加氢的反应机理

采用密度泛函理论B3LYP方法, 对两类金(I)配合物AuX (X=F, Cl, Br, I)和AuPR₃⁺(R=F, Cl, Br, I, H, Me,Ph)催化C₂H₄加氢反应的机理进行了理论研究. 计算显示Au(I)配合物对C₂H₄氢化具有较好的催化效果, 其作用下的加氢反应存在“活化H―H键后再与C₂H₄反应”和“活化C＝C键后再与H₂反应”两种途径, 前者的活化能较后者低90-120 kJ·mol^-1, 因而具有明显的能量优势. 研究表明AuPR₃⁺ 的催化能力明显强于AuX. 此外, X/PR3基团供、吸电子能力的变化对配合物的催化能力也具有较为显著的影响. 电子结构分析显示Au(I)配合物在C₂H₄ 加氢反应中不仅能够削弱H―H、C＝C 键的强度, 还使H₂ σ_H―H^*、C₂H₄ π_C＝C^* 轨道能级下降, 从而缩小了π_C＝C-σ_H―H^*或σ_H―H-π_C＝C^*轨道间的能级差, 促进了C₂H₄-H₂反应中的电子离域, 从而降低禁阻反应发生的难度.σ_H―H^*、π_C＝C^*轨道能级改变量与加氢反应活化能E_a的降低值之间存在较好的一致性关系, 因此使上述轨道能级下降幅度越大的Au(I)配合物可以获得较好的催化效果.     

气相中Co+催化N2O与C2H6循环反应催化剂活性的理论研究

采用密度泛函理论UB3LYP方法对Co⁺在三重态及五重态势能面上催化N₂O与C₂H₆进行循环反应的两态反应机理进行了研究. 运用Harvery方法优化了两自旋态势能面5个最低能量交叉点（MECP）,计算了MECP处自旋-轨道耦合作用. 采用Landau-Zener公式计算了自旋翻转处的系间窜越几率,各MECP处均可发生有效系间窜越. 通过应用Kozuch提出的能量跨度模型,Co⁺催化N₂O与C₂H₆在298K下反应生成CH₃CHO时有最大的TOF值3.35×10^-21 s^-1.     

五原子平面四配位碳分子[CAl_3X]和[CAl_3X]~-(X=Sn,Pb)的理论研究

在B3LYP计算水平下,使用混合基组6-311+G(d)LANl2dz首次对含Sn,Pb的五原子平面四配位碳分子[CAl3X]和[CAl3X]-(X=Sn,Pb)两个体系(分别具有17和18价电子)的异构体结构及能量进行了量子化学计算研究,并与文献已经报道的[CAl3X]和[CAl3X]-(X=Si,Ge)作了比较.结果表明,具有平面四配位碳结构的异构体int1是能量的全局最小点.相对于17e的[CAl3X]体系来说,在得到一个电子以后形成18e的[CAl3X]-int1异构体在热力学上变得更稳定.本项研究将进一步丰富五原子平面四配位碳化学.     

Ab initio thermochemistry of the hydrogenation of hydrocarbon radicals using silicon-, germanium-, tin-, and lead-substituted methane and isobutane

A series of reactions of the type Y. + XH(4) --> YH + .XH(3) and Y'. + HX(CH(3))(3) --> Y'H + .X(CH(3))(3), where Y = H, CH(3); Y' = CH(3), C(CH(3))(3); and X = Si, Ge, Sn, Pb are studied using state-of-the-art ab initio electronic structure methods. Second-order M?ller-Plesset perturbation theory; the coupled-cluster singles, doubles, and perturbative triples method; and density functional theory are used with correlation-consistent basis sets (cc-pVNZ, where N = D, T, Q) and their pseudopotential analogs (cc-pVNZ-PP) to determine the transition-state geometries, activation barriers, and thermodynamic properties of these reactions. Trends in the barrier heights as a function of the group IVA atom (Si, Ge, Sn, and Pb) are examined. With respect to kinetics and thermodynamics, the use of a hydrogen attached to a group IVA element as a possible hydrogen donation tool in the mechanosynthesis of diamondoids appears feasible.     

Mechanism of abstraction reactions of dimetallenes (R2X=XR2; X = C, Si, Ge, Sn, Pb) with halocarbons: a theoretical study

Potential energy surfaces for the abstraction reactions of dimetallenes with halocarbons have been studied using density functional theory (B3LYP). Five dimetallene species, (SiH(3))(2)X=X(SiH(3))(2), where X = C, Si, Ge, Sn, and Pb, have been chosen in this work as model reactants. The present theoretical investigations suggest that the relative dimetallenic reactivity increases in the order C=C < Si=Si < Ge=Ge < Sn=Sn < Pb=Pb. That is to say, for halocarbon abstractions there is a very clear trend toward lower activation barriers and more exothermic reactions on going from C to Pb. Moreover, for a given dimetallene, the overall barrier heights are determined to be in the order CF(4) > CCl(4) > CBr(4) > CI(4). That is, the heavier the halogen atom (Y), the more facile its abstraction from CY(4). Halogen abstraction is always predicted to be much faster than the abstraction of a CY(3) group irrespective of the dimetallene or halocarbon involved. Our model conclusions are consistent with some available experimental findings. Furthermore, both a configuration mixing model based on the work of Pross and Shaik and bonding dissociation energies can be used to rationalize the computational results. These results allow a number of predictions to be made.     

Sn和Pb单掺杂Al4小团簇的理论研究

在CCSD(T)/aug-cc-pVTZ&;CEP-121G//B3LYP/6-311+G(d)&;LANL2DZ水平上, 研究了由更高周期的Sn和Pb单掺杂Al4团簇形成的五原子含铝体系XAl4(X=Sn, Pb), 确定了体系的低能异构体, 分析了关键异构体的结构和稳定性. 研究结果表明, 与SiAl4及GeAl4的基态平面四配位Si/Ge结构所不同, 等价电子的SnAl4和PbAl4体系的基态结构不是平面四配位Sn/Pb, 而是平面四配位Al, 其中杂原子Sn/Pb采取二配位方式, 此外, Sn/Pb采取三配位方式的非平面结构的稳定性也要优于平面四配位Sn/Pb结构.     

Der Übergang vom „geordneten”︁ Anti-PbCl2-Gitter zum Anti-PbFCl-Gitter: Ternäre Phasen ABX der Erdalkalimetalle mit Elementen der 4. Hauptgruppe (A = Ca,Sr, Ba; B = Mg; X = Si,Ge, Sn,Pb)

The transition of the “ordered” anti-PbCl₂ lattice in the anti-PbFCl lattice: The ternary phases ABX of the alkaline earths with main group IV elements (A = Ca, Sr, Ba; B = Mg; X = Si, Ge, Sn, Pb) The compounds CaMgX, SrMgX and BaMgX (X = Si, Ge, Sn, Pb) were synthesized and their structures determined. CaMgX and SrMgX crystallize in the “ordered” Anti-PbCl₂-type and are therefore related to the binary compounds Ca₂X(X = Si, Ge, Sn, Pb), which form the Anti-PbCl₂-type too. The phases BaMgX build up the Anti-PbFCl-structure. The relations of these two different structures are discussed in respect to the radii of the components.     

Vibrational spectra and ab initio analysis of tert-butyl, trimethylsilyl, trimethylgermyl, trimethylstannyl, and trimethylplumbyl derivatives of 3,3-dimethylcyclopropene X. Some regularities

The changes in the vibrational frequencies of 1-tert-butyl and 1,2-di-tert-butyl derivatives of 3,3-dimethylcyclopropene brought about by substitution of the central carbon atom (X) of the tert-butyl moieties by Si, Ge, Sn, or Pb atoms are examined. The most important decrease in the vibrational frequencies implicating the X(CH(3))(3) moieties is noted for substitution of X=C by Si. The substitutions of Si by Ge or Ge by Sn or Sn by Pb are not accompanied by the pronounced frequency shifts observed for the C-->Si transition. An explanation is given for trends in these vibrational frequencies for the transitions X=C-->Si-->Ge-->Sn-->Pb. It is concluded that there are lower limiting values of the vibrational frequencies of a molecular moiety which are approached when the mass of its isovalent atom is increased. This leads to the formation of cluster regions in the vibrational spectra for the frequencies of the SnC(3) and PbC(3) moieties.     

Theoretical study of addition reactions of heavy carbenes to carbon and boron nitride nanotubes

In an effort to gain insight into the activation energies and reaction enthalpies of the chemical functionalization of carbon and boron nitride nanotubes, calculations using density functional theory have been carried out for the cycloaddition of a heavy carbene to a single-walled carbon (SWCNT; C(130)H(20)) and a boron nitride (SWBNNT; B(65)N(65)H(20)) nanotube. The (CH(3))(2)X + SWCNT and (CH(3))(2)X + SWBNNT (X = C, Si, Ge, Sn, and Pb) reactions are the subject of the present study. All the stationary points were determined at the B3LYP/LANL2DZ level of theory. The major conclusions that can be drawn from this work are as follows: (i) Considering both the activation barrier and reaction enthalpy based on the model calculations presented here, it is found that the order of (CH(3))(2)X reactivity is X = C > Si > Ge > Sn > Pb, irrespective of whether cycloaddition is to a SWCNT or a SWBNNT sidewall. That is to say, (CH(3))(2)C and (CH(3))(2)Si can readily add to the sidewalls of SWCNT and SWBNNT, whereas (CH(3))(2)Ge, (CH(3))(2)Sn, and (CH(3))(2)Pb are unreactive. (ii) Since the chemical reactivities of SWCNT and SWBNNT sidewalls closely resemble those of the small C(16)H(10) and B(8)N(8)H(10) molecules, at least in a qualitative sense, the use of the above small molecules as models is sufficient to provide qualitatively correct results. (iii) Our theoretical observations indicate that all the (5,5) SWCNT and SWBNNT cycloadducts favor opened rather than closed three-membered ring structures. (iv) The theoretical investigations demonstrate that the singlet-triplet splitting of the carbene species (R(2)X) as well as that of the small model molecules can be used as a diagnostic tool to predict the addition reactivities of carbene analogues and sidewalls of various nanotubes, respectively. Moreover, the results obtained in this work allow a number of predictions to be made.     

通过核独立化学位移(NICS)计算研究二价三、五、七元环C2H2M, C4H4M and C6H6M(M=C, Si, Ge, Sn and Pb)的芳香族特性

The aromatic character of divalent three, five and seven-membered rings C₂H₂M, C₄H₄M and C₆H₆M(M=C, Si, Ge, Sn and Pb) is investigated through magnetic and geometric criteria by Density Functional Theory (DFT)method using 6^-311++G(3df,2p) basis set of the GAUSSIAN 98 program. The result of Nucleus-independent Chemical Shifts (NICS)(0.5) calculations show an aromatic character for singlet state of C₂H₂M(M=C, Si, Ge, Sn and Sn) and nonaromatic character for triplet states of C₂H₂M(except M=Ge and Pb). NICS (0.5) calculations show nonaromatic character for the singlet state of C₄H₄C and antiaromatic character for C₄H₄M(M=Si, Ge, Sn and Pb). In contrast, NICS (0.5) calculations indicate antiaromatic character for the triplet state of C₄H₄C and nonaromatic character to C₄H₄M(M=Si, Ge, Sn and Pb). NICS (0.5) calculations show a slightly homoaromatic character for the singlet state of C₆H₆M and anti-aromatic character for triplet state of C₆H₆M.     

(XNR)_4立方簇合物结构与稳定性的DFT研究

用密度泛函理论(DFT),在B3LYP/CEP-121G水平上,首次对(XNR)_4 [X = C, Si,Ge,Sn,Pb;R = H,CH_3,C(CH_3)_3,Si(CH_3)_3,C_6H_5]立方簇合物的 几何构型、电子结构、振动光谱和化学键性质进行了研究,并对其分子碎片(XNR) _2进行了相同方法的优化计算。结果表明,(CNR)_4对应原5种结构均不能稳定存在 。(XNH)_4对应原5种结构稳定性较低。对于同一取代基R,簇合物的稳定性大小顺 序为：(PbNR)_4>(SnNR)_4>(GeNR)_4>(SiNR)_4>(CNR)_4。     

[MAl5]+(M=Si,Ge,Sn,Pb)体系结构和稳定性的理论研究

利用B3LYP和CCSD(T)(单点)方法, 研究了含Si, Ge, Sn, Pb的六原子体系[MAl₅]⁺中各个异构体的结构及稳定性. 研究结果表明, 尽管与[CAl₅]⁺一样也具有18个价电子, 但[MAl₅]⁺(M=Si, Ge, Sn, Pb)体系并不存在具有平面五配位结构的异构体, 其能量的全局极小点为具有C_s对称性的蝶形异构体Int1, 这是由于中心原子M(Si, Ge, Sn, Pb)较大的体积显著破坏了[MAl₅]⁺中平面五配位结构的稳定性所致.