Structure and stability of binary transition-metal clusters (NbCo)n (n < or = 5): a relativistic density-functional study

Equilibrium geometries and electronic properties of binary transition-metal clusters, (NbCo)n (n < or = 5), have been investigated by means of the relativistic density-functional approach. The metal-metal bonding and stability aspects of these clusters have been analyzed on the basis of calculations. Present results show that these clusters exhibit rich structural varieties on the potential-energy surfaces. The most stable structures have a compact conformation in relatively high symmetry, in which the Nb atoms prefer to form an inner core and Co atoms are capped to the facets of the core. Such building features in clustering of the Nb/Co system are related to the order of bond strength: Nb-Nb>Nb-Co>Co-Co. As the binary cluster size increases, the Nb-Co bond may become stronger than the Nb-Nb bond in the inner niobium core, which results in a remarkable increment of the Nb-Nb bond length. Amongst these binary transition-metal clusters, the singlet (NbCo)4 in T(d) symmetry has a striking high stability due to the presence of the spherical aromaticity and electronic shell closure. The size dependence of the bond length and stability of the cluster has been explored.     

Effects of electronic correlation on local properties of electronic structure of TiO2 and Ti2O3 crystals: DFT and post‐HF approaches

Calculations of the electronic structure of titanium oxides both in periodic and cluster models are performed using RHF, UHF, and DFT methods. The effect of electronic correlation on local properties of electronic structure (charges, valences, covalences, and bond orders) is discussed. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002     

Topological analysis of the electronic charge density in the ethene protonation reaction catalyzed by acidic zeolite

In the present work, the distribution of the electronic charge density in the ethene protonation reaction by a zeolite acid site is studied within the framework of the density functional theory and the atoms in molecules (AIM) theory. The key electronic effects such as topological distribution of the charge density involved in the reaction are presented and discussed. The results are obtained at B3LYP/6-31G(**) level theory. Attention is focused on topological parameters such as electron density, its Laplacian, kinetic energy density, potential energy density, and electronic energy density at the bond critical points (BCP) in all bonds involved in the interaction zone, in the reactants, pi-complex, transition state, and alkoxy product. In addition, the topological atomic properties are determined on the selected atoms in the course of the reaction (average electron population, N(Omega), atomic net charge, q(Omega), atomic energy, E(Omega), atomic volume, v(Omega), and first moment of the atomic charge distribution, M(Omega)) and their changes are analyzed exhaustively. The topological study clearly shows that the ethene interaction with the acid site of the zeolite cluster, T5-OH, in the ethene adsorbed, is dominated by a strong O-H...pi interaction with some degree of covalence. AIM analysis based on DFT calculation for the transition state (TS) shows that the hydrogen atom from the acid site in the zeolitic fragment is connected to the carbon atom by a covalent bond with some contribution of electrostatic interaction and to the oxygen atom by closed shell interaction with some contribution of covalent character. The C-O bond formed in the alkoxy product can be defined as a weaker shared interaction. Our results show that in the transition state, the dominant interactions are partially electrostatic and partially covalent in nature, in which the covalent contribution increases as the concentration and accumulation of the charge density along the bond path between the nuclei linked increases.     

直线型CnP^—（n=1～11）结构的理论研究

以激光溅射方法产生了一系列含一个磷原子的碳原子簇负离子．针对其在实验中呈现的奇偶变化规律进行了量子化学从头算研究．在HF／6－311G*水平上（对单重态为RHF，多重态为ROHF）优化了直线型CnP-（n=1～11）键长和能量，计算了相邻簇离子的能量差与成簇碳原子的平均结合能及从CnP-分别解离C、C2、C3、P、CP、C2P等6种通道所需的能量．计算发现，n为奇数的CnP-单重态（1Σ）最稳定，而，n为偶数的簇离子则以三重态（3Σ）的能量较低．所计算的CnP-各结构参数均表现出奇偶交替的变化规律，n为奇数的CnP-相对稳定．     

Ni-B非晶态合金局域结构和电荷转移性质的理论研究

根据非晶态合金结构的短程有序、Ni和B间存在较强的化学作用、结构中存在B－B键直接相连的实验事实,选择Ni~mB~2(m=1,2,4)原子簇作为非晶态局域结构的计算模型。考虑原子簇间的相互作用,又对[Ni~4B~2]~n(n=1,2,5,7)簇团进行了系统计算。结果表明在所选Ni-Br的簇模型中,都是B原子提供电荷给Ni原子,这些均与非晶态合金实验结果和一些理论计算结果相符。簇团的计算结果还表明,小原子簇Ni~4B~2内原子间存在较强的化学键作用,而簇间的相互作用相对较弱,很容易造成对称性破缺而导致产生长程无序,因此Ni-B非晶态可以被看成是由大量i上原子簇无序堆砌成的,这一点也同实验事实相吻合。计算结果也表明我们前面工作中所取的和最常见的Ni-B非晶态合金Ni~6~4B~3~6有相似组成的Ni~4B~2原子簇模型能在一定程度上反映Ni-B非晶态合金的局域结构特征。     

Theoretical study of the electronic structure of CnS (n=1-6) thiocumulenes

Linear sulfur-carbon chains C(n)S (n=1-6) of astronomical interest were examined by means of several theoretical methods. The three smallest compounds of the series were chosen to evaluate the performance of several computational models, including Hartree-Fock theory, density functional theory with the Becke's three parameter exchange functional and the correlation functional of Lee, Yang, and Parr (B3LYP), and electron-correlated methods (second-order Moller-Plesset perturbation method (MP2), configuration interaction method including single and double excitations (CISD), and quadratic configuration interaction method including single and double excitations (QCISD) in combination with a large variety of basis sets. The systematic comparison between the experiment and theory indicates that the B3LYP/6-311G** method can be considered suitable for the study of the electronic structures of the C(n)S compounds. The electronic ground states of the C(n)S molecules alternate between 1Sigma and 3Sigma for odd and even values of n, respectively. The B3LYP/6-311G** wave functions for these electronic ground states were analyzed by means of the atoms in molecules (AIM) and natural bond orbital (NBO) methods. Both approaches suggest that the electronic structures for the singlet and triplet compounds must be considered separately. According to the NBO method, singlet compounds can be properly represented by acetylenic structures with alternating single and triple bonds (S[triple bond]C-C[triple bond]C...). However, triplet compounds are better described by means of double bond-double bond cumulenic structures (S=C=C=C=C...) as a consequence of the average between different alpha and beta electronic densities. AIM delocalization indexes and NBO interactions between localized orbitals also indicate that these structures are strongly pi delocalized. Finally, the different singlet and triplet structures proposed provide a consistent explanation for the geometries, dipole moments, and spin-density values of the C(n)S compounds studied.     

含有金属-金属键的双核原子簇离子体系[Mo~2Sn]^2-(n=6~9)的电子结构与电子光谱

使用SCF-CI方法研究了含有Mo-Mo单键的原子簇离子体系[Mo~2Sn](n=6~9)的电子结构及电子光谱。讨论了随n增加, 配体S, S~2, S~4对Mo-Mo键序、原子电荷的影响及其变化规律。分析了原子簇离子中的d-d相互作用能级次序及Mo-Mo, Mo-S'~t等键的性质, CI计算得到的谱带波数及强度次序与实验符合。指认分析表明, 谱带的跃迁性质是有趣的, 如第一吸收带为成键轨道之间的跃迁σ~x^2-y^2→σ~x~2(n=6~8), 同时, 对电子跃迁的性质进行了分类, 对谱带的电荷转移性质也进行了讨论。     

原子簇化合物的键价分析

根据原子簇化合物骨架的价电子结构及与配位体成键的性质,在确定原子簇骨架中存在的空轨道或孤对电子轨道数目后,按骨架价电子数目在骨架价成键轨道中的具体分配,推导了原子簇骨架的总键价数。再结合分子的几何构型,可以估计骨架中相邻原子间的成键情况。     

InAs管状团簇及单壁InAs纳米管的结构、稳定性和电子性质

采用密度泛函理论研究了InnAsn (n≤90)管状团簇以及单壁InAs纳米管的几何结构、稳定性和电子性质. 小团簇InnAsn (n=1-3)基态结构和电子性质的计算结果与已有报道相一致. 当n≥4时优化得到了一族稳定的管状团簇, 其结构基元(In原子与As原子交替排列的四元环和六元环结构)满足共同的衍化通式. 团簇的平均结合能表明横截面为八个原子的管状团簇稳定性最好. 管状团簇前线轨道随尺寸的变化规律有效地解释了一维稳定管状团簇的生长原因, 同时也说明了实验上之所以能合成InAs纳米管的微观机理. 此外, 研究结果表明通过管状团簇的有效组装可得到宽带隙的InAs半导体单壁纳米管.     

原子簇FenB2(n=1～6)结构和性质的DFT研究

本文对上百个Fe_nB₂和Fe_n(n=1～6)原子簇模型进行密度泛函理论计算，用来模拟非晶态合金Fe-B体系的局域结构，并考察类金属元素硼的引入对体系性质的影响。将优化构型的键长和电荷分布与实验数值进行比较，发现本文所使用的原子簇模型在一定程度上可以真实、准确地反映非晶态合金Fe-B体系的局域结构。利用这些构型，我们对其键级、电子、催化以及磁学性质进行了讨论。结果表明：原子簇中均存在着强烈的Fe-B键作用，其中在高铁含量原子簇中Fe-Fe键的作用也较为明显；综合热力学、费米能级及态密度的研究结果，发现原子簇Fe₄B₂在合成氨和固氮过程中有可能表现出更为优越的催化活性。结合对原子簇Fe_n和Fe_nB₂(n=1～6)平均3d轨道布居数的分析，发现原子簇Fe_nB₂(n=1～6)的平均磁矩均小于相应原子簇Fe_n(n=1～6)的理论数值和纯金属铁的实验数值(5.7～6.0 BM)，也就是说原子簇Fe_nB₂(n=1～6)均表现出软磁性。     

Hydrogen bonding versus coordination of adsorbate molecules on Ti-silicalites: a density functional theory study

The present study discusses the results of theoretical calculations obtained at the B3LYP/ 6-31G level on the structural, electronic, and energetic properties of Ti-silicalites. Particularly, the relevance of 5T cluster models, either H- or OH-terminated, in large-scale calculations has been critically considered. It was shown that an open surface structure with one OH group and a closed-bulk structure with no bonded OH group at the Ti site are responsible for the observed UV-vis properties of Ti-silicalite materials. Both water and methanol can preferably interact with Ti-silicalites through the H-bonding mechanism, while ammonia can form either H-bonded or coordination complexes. The calculations support the existence of highly dispersed Ti sites in a tetrahedral environment only in Ti-silicalites because an increase in the coordination number of the Ti site by next-neighbor lattice oxygens is the energetically less favorable process.     

非晶硅短程序与电子结构关系的量子化学研究

本支通过对Si_(29)无规网络原子簇模型的CNDO计算,探讨了非晶硅(a-Si)结构短程序对其电子态密度(DOS)分布的影响。结果表明,在与实验原子径向分布函数(RDF)基本相同的条件下,a-Si模型中的键角和二面角是影响电子态密度分布的主要参数。     

Electronic and geometric properties of ETS-10: QM/MM studies of cluster models

Hybrid DFT/MM methods have been used to investigate the electronic and geometric properties of the microporous titanosilicate ETS-10. A comparison of finite length and periodic models demonstrates that band gap energies for ETS-10 can be well represented with relatively small cluster models. Optimization of finite clusters leads to different local geometries for bulk and end sites, where the local bulk TiO6 geometry is in good agreement with recent experimental results. Geometry optimizations reveal that any asymmetry within the axial O-Ti-O chain is negligible. The band gap in the optimized model corresponds to a O(2p) --> Tibulk(3d) transition. The results suggest that the three Ti atom, single chain, symmetric, finite cluster is an effective model for the geometric and electronic properties of bulk and end TiO6 groups in ETS-10.     

正二十面体Au13和Pt13团簇上肉桂醛的吸附

运用广义梯度近似(GGA)密度泛函理论的Perdew-Burke-Ernzerh (PBE)方法, 研究了肉桂醛在正二十面体Au₁₃和Pt₁₃团簇上的吸附行为. 通过分析不同吸附模式的吸附能和几何构型发现: 同一金属团簇, 顺式肉桂醛的吸附能强于反式肉桂醛的吸附能. 对于Au₁₃团簇, 肉桂醛的稳定吸附构型为C＝C和C＝O共吸附模型; 对于Pt₁₃团簇, 肉桂醛的稳定吸附构型为C＝O吸附. 比较二者发现, 肉桂醛在Pt₁₃团簇的吸附能力强于Au₁₃团簇.分析Au₁₃和Pt₁₃团簇上肉桂醛最稳定吸附构型的电子结构表明, 电子由肉桂醛原子的2s、2p轨道向金属表面转移, 同时金属部分电子反馈到肉桂醛的反键轨道, 最终肉桂醛稳定吸附于金属团簇. 此外, 肉桂醛在团簇模型上的吸附能大于其在平板模型上的吸附能.     

Study of rhamnose radicals in the solid state adopting a density functional theory cluster approach

A theoretical study is performed on the radiation-induced radicals in crystalline alpha-l-rhamnose, using density functional theory (DFT) calculations. Irrespective of earlier structural assignments, a host of possible radical models is examined in search for a structure that accurately reproduces experimental electron paramagnetic resonance (EPR) properties. A cluster approach is followed, incorporating all hydrogen bond interactions between radical and crystalline environment. Hyperfine coupling tensors as well as g tensors are determined and a comparison is made with available experimental data. Three carbon-centered hydroxyalkyl radicals are validated, in accordance with experimental suggestions for their structure. The occurrence of a carbon-centered oxygen anion radical for one of the radical species is rejected on theoretical grounds, and instead an altered hydroxyalkyl structure is suggested. Our cluster calculations are able to determine g and hyperfine tensors for the oxygen-centered alkoxy radical in rhamnose, in accordance with one of the two measurements for this species. For all radical models, quantitative agreement with experimental hyperfine tensors is obtained by performing full cluster DFT calculations. The inclusion of the molecular environment for the determination of this EPR property proved to be essential.     

应用ABEEM/MM模型研究水分子团簇(H2O)n (n=11～16)的性质

应用ABEEM/MM 模型计算了较大的水分子团簇(H2O)n (n=11~16)的各种性质,如：优化的几何构型, 氢键个数, 结合能, 稳定性, ABEEM 电荷分布, 偶极矩, 以及结构参数、平均氢键个数和强度, 增加的团簇结合能等.结果表明,从立方体结构到笼状结构的过渡出现在n=12的水分子团簇中,随着类似于笼状结构特点的不断增强,五元环的富集程度有所增加.     

用密度泛函和遗传算法研究Cun (n≤20) 团簇的尺寸效应

结合遗传算法和Gupta多体势系统地搜索金属团簇Cu_n (n≤20)的几何结构, 并利用密度泛函方法进一步确定最稳定构型. 分析了平均键长、平均配位数、结合能、二阶差分能、电离势和电子亲和势等性质随着尺寸的变化规律. 发现在Cu₇处团簇最稳定构型从二维结构转向三维结构, Cu_n (n≤20)团簇的幻数为8, 13, 20. 团簇的键长、配位数和结合能属性随着尺寸的增长而递增最终接近相应的体相值; 而二阶差分能、电离势和电子亲和势随着尺寸增加出现奇偶交替, 说明偶数电子形成闭壳层结构, 比相邻团簇更稳定.     

Al8P8团簇环状结构与性质的密度泛函理论研究

用密度泛函理论(DFT)中的杂化密度泛函B3LYP方法, 在6-31G*水平上对Al8P8团簇的环状结构进行了几何结构优化, 并在同一水平上计算了Al8P8团簇的电子结构、振动特性及极化率和超极化率. 用自然键轨道(NBO)方法分析了成键性质, Al8P8团簇中离子键和共价键共存, 而且在不同轨道中原子间成键有不同的杂化方式. 计算结果表明: 优化后的Al8P8团簇为双层环状结构; 价电子态密度显示其电子结构具有半导体的性质; 最强的IR和Raman谱峰分别位于530.65 cm-1和366. 54 cm-1处.