磷原子团簇同分异构体的理论研究I:P5+、P5-和P5的预测

由激光产生的磷原子团簇正离子的质谱图中呈现很强的 P5 和 P5- 谱峰。使用分子图形学方法设计出 9种可能的同分异构体 ,对其中性及正负离子分子进行了分子力学、PM3半经验量子化学和 ADF密度泛函优化。在磷原子团簇模型中 ,磷原子采用 2、3或 4配位方式成键。从各异构体成键能量的比较可得知 ,最稳定的 P5 构型是四方锥的结构 ,最稳定的 P5-构型是平面五边形的结构 ,而最稳定的 P5构型是在最稳定的 P4的增加一个 2配位原子所生成的结构     

原子团簇P6同分异构体的可能性

使用分子图形学方法设计出 2 3种可能的同分异构体 ,并对其进行了分子力学、PM3半经验量子化学和 ADF密度泛函优化。在 P6原子团簇模型设计中 ,磷原子采用一、二、三或四配位。从各异构体的比较可得知 ,由正四面体 P4派生出的结构在能量方面具有优势。椅式结构、船式结构和平面结构的能量依次增大     

小分子硫原子团簇的结构稳定性

用分子图形软件设计出68种硫原子团簇S_3～S_(13)的结构,使用B3LYP密度泛函进行几何构型优化和振动频率计算,排除了振动频率为负值的非局域极小点的结构,根据分子的总能量得出最稳定的同分异构体。在硫原子团簇中,除了部分原子采用一、三配位之外,大部分原子为二配位成键,带三配位的硫原子团簇的总能量较高,硫原子团簇难以生成高配位的笼状结构。从S_5开始链状结构能量高于环状,中性大分子硫原子团簇多呈链状结构。     

原子团族P6同分异构体的可能性

使用分子图形学方法设计出２３种可能的同分异构体，并对共进行了分子力学、ＰＭ３半经验量子化学和ＡＤＦ密度泛函优化。在Ｐ６原子团簇模型设计中，磷原子采用一、二、三或四配位。从各异构体的比较可得知，由正四面体Ｐ４派生出的结构在能量方面具有优势。椅式结构，船式结构和平面结构的能量依次增大。     

原子团族Ge7的结构与稳定性

用分子图形软件设计出多种锗原子团簇Ge7的模型，并进行B3LYP密度泛函几何构型优化和振动频率计算，得到8种稳定的同分异构体结构。在锗原子团簇中，大部分原子以三、四、五配位成键。根据分子的总能量，最稳定的Ge7模型为D5h构型。Ge7稳定结构中高配位原子越多，构型越稳定。     

原子团簇Ge_7的结构与稳定性

用分子图形软件设计出多种锗原子团簇Ge7的模型,并进行B3LYP密度泛函几何构型优化和振动频率计算,得到8种稳定的同分异构体结构。在锗原子团簇中,大部分原子以三、四、五配位成键。根据分子的总能量,最稳定的Ge7构型为D5h构型。Ge7稳定结构中高配位原子越多,构型越稳定。     

原子团簇Ge_(11)同分异体的密度泛函研究

用分子图形软件设计出多种Ge_11原子团簇模型,使用B3LYP密度泛函方法进行几何构型优化和振动频率计算,比较了14种同分异构体的总能量,得到了新的基态构型。锗原子团簇的大部分原子以三、四、五和六配位成键。在Ge11原子团簇中,双角反四棱柱衍生出来的构型能量较低,它是设计大分子锗原子团簇初始模型的重要结构单元。由三棱柱演变的构型能量居中。带心结构和共边构型带有高配位原子,其总能量较高,是不稳定的结构。     

小分子硫原子团簇正离子的结构稳定性

用分子图形软件设计出49种硫原子团簇Sn+(n=3～13)的结构,使用B3LYP密度泛函进行几何构型优化和振动频率计算,根据分子的总能量得出最稳定的同分异构体.在硫原子团簇正离子中,大部分原子为二配位成键.带有一、三配位的原子结构的总能量较高.部分最稳定硫原子团簇正离子的构型与最稳定的中性硫原子团簇的构型完全不同.     

Pdn(n=2～13)团簇的密度泛函理论研究

采用密度泛函理论B3LYP方法计算并讨论钯原子团簇Pdn(n=2～13)结构模型.通过对钯原子团簇进行几何构型优化和振动频率计算,找出团簇总能量最低的同分异构体.由于Jahn-Teller效应的存在,团簇的最稳定结构采取对称性较低的几何构型.在钯原子数相同时,往往存在多个能量极为相近的稳定构型.单位原子平均静态极化率呈奇偶变化.     

铝原子Bernal多面体团簇的理论研究

将遗传算法用于铝原子团簇的构型计算.运用这种方法,从任意构型开始,较好地计算了6、8、9、10个铝原子组成的原子团簇的能量最低时的构型,发现这四种铝原子团簇的能量最低构型分别取四种Bernal多面体排列.并对得到的四种构型用密度泛函方法（DFT）进行量子化学计算,结果表明，这类构型是势能面上的极小值点,可以稳定存在.     

How cationic gold clusters respond to a single sulfur atom

Results describing the interaction of a single sulfur atom with cationic gold clusters (Au(n) (+), n=1-8) using density functional theory are described. Stability of these clusters is studied through their binding energies, second order differences in the total energies, fragmentation behavior, and atom attachment energies. The lowest energy structures for these clusters appear to be three dimensional right from n=3. In most cases the sulfur atom in the structure of Au(n)S(+) is observed to displace the gold atom siting at the peripheral site of the Au(n) (+) cluster. The dissociation channels of Au(n)S(+) clusters follow the same trend as Au(n) (+) cluster, based on the even/odd number of gold atoms in the cluster, with the exception of Au(3)S(+). This cluster dissociates into Au and Au(2)S(+), signifying the relative stability of Au(2)S(+) cluster regardless of having an odd number of valence electrons. Clusters with an even number of gold atoms dissociate into Au and Au(n-1)(S)(+) and clusters with an odd number of gold atoms dissociate into Au(2) and Au(n-2)(S)(+) clusters. An empirical relation is found between the conduction molecular orbital and the number of atoms in the Au(n)S(+) cluster.     

On the triplet ground state of tetrahedral X4 clusters (X = Li, Na, K, Cu)

The lowest electronic state of distorted tetrahedral X(4) clusters (with X = Li, Na, K, Cu) is studied at coupled-cluster level using high-quality atomic basis sets. The ground state is found to have a triplet spin symmetry for this kind of geometry and for all the considered atomic species. The equilibrium geometries correspond to Jahn-Teller-distorted oblate tetrahedra having D(2d) symmetry, and tetrahedric structures are local minima on the potential-energy surfaces for the triplet states. Their energies lie between 0.2 eV (for the K(4) cluster) and 0.9 eV (for Cu(4)) above the absolute minimum of the corresponding systems, which is a spin singlet having a rhombus geometry.     

Encapsulation of small base molecules and tetrahedral/cubane-like clusters of group V atoms in the boron buckyball: a density functional theory study

A density functional theory study of small base molecules and tetrahedral and cubane-like group V clusters encapsulated in B(80) shows that the boron buckyball is a hard acid and prefers hard bases like NH(3) or N(2)H(4) to form stable off-centered complexes. In contrast, tetrahedral and cubane-like clusters of this family are metastable in the cage. The most favorable clusters are the mixed tetrahedral and cubane clusters formed by nitrogen and phosphorus atoms such as P(2)N(2)@B(80), P(3)N@B(80), and P(4)N(4)@B(80). The boron cap atoms are electrophilic centers, and prefer mainly to react with electron rich nucleophilic sites. The stability of the complexes will be governed by the size and electron donating character of the encapsulated clusters. B(80) forms stable complexes with hard materials where a bidentate interaction of the encapsulated molecule with two boron cap atoms is preferred over a single direct complex toward a single endohedral boron.     

Visualizing internal stabilization in weakly bound systems using atomic energies: hydrogen bonding in small water clusters

Atomic energies are used to visualize the local stabilizing and destabilizing energy changes in water clusters. Small clusters, (H(2)O)(n), from n = 2-5, at MP2/aug-cc-pVTZ geometries are evaluated using energies defined by the quantum theory of atoms in molecules (QTAIM). The atomic energies reproduce MP2 total energies to within 0.005 kcal mol(-1). Oxygen atoms are stabilized for all systems and hydrogen atoms are destabilized. The increased stability of the water clusters due to hydrogen bond cooperativity is demonstrated at an atomic level. Variations in atomic energies within the clusters are correlated to the geometry of the waters and reveal variations in the hydrogen bond strengths. The method of visualization of the energy changes applied here is especially suited for application to large biomolecules.     

Theoretical models of hyperbranched polymers

We have investigated linear, starbranched and hyperbranched X_nH_m polymers and determined the number of atoms, rotors, internal coordinates, valence and HOMO molecular orbitals as well as molecular mass for each generation and valency. We use the semi-empirical MNDO model to obtain full geometry optimization for increasingly larger clusters for each generation in order to obtain total relative energies. We then generate analytical functions, which correlate the total relative energies with the generation, for each valency, for the hyperbranched polymers. We have also generated analytic functions, which correlate total relative energies, experimental van der Waals coefficients and standard enthalpy of combustion with the number of carbon atoms in each chain of the linear alkanes. These results are used to predict the enthalpy of combustion for higher generations of alkanes in good agreement with experiment. Due to the exponential increase in size with generation of the hyperbranched polymers alternative analytical models may be of interest to theoretical chemists working in this line of research.