理论研究B3Sin0\- (n=15-20)团簇的几何结构、稳定性和电子特性

基于B3LYP/6-311+G(d)下的密度泛函理论和卡里普索结构预测方法,系统研究了B3Sin0\- (n=15-20)团簇的几何结构、稳定性和电子特性。结构搜索发现,三个硼原子易构成三角结构并包裹在硅团簇笼子中。并通过对比实验和理论的光电子谱,进一步确定基态结构的合理性。此外,利用平均结合能、二阶差分能、最高占据轨道和最低未占据轨道能隙研究了体系的稳定性。最后,讨论了体系电荷的分布和转移、红外和拉曼谱等电子特性。     

Systematic theoretical investigation of structure and electronic properties of pure copper and lithium doped copper clusters

The pure copper and lithium-doped copper clusters are studied using the unbiased CALYPSO structure searching method and density function theory to understand the evolution of various structure and electronic properties. Theoretical results show the growth behaviours of doped clusters are organised as follows: Li capped Cu_n clusters or Li substituted Cu_n+1 clusters as well as Cu capped Cu_n-1Li clusters. Moreover, the lowest energy structures of Cu_nLi favour planar structures for n ≤ 3 and three-dimensional structures for n = 4–12. In addition, the calculated averaged binding energies, fragmentation energies and second-order difference of energies exhibit obvious odd–even alternations as cluster size increasing. At last, the highest occupied-lowest unoccupied molecular orbital gaps, molecular orbital energy, magnetic property, natural population analysis, natural electron configurations, electrostatic potential, electron density difference, Infrared and Raman spectra and density of states are also, respectively, operative for characterising and rationalising the electronic properties of doped clusters.     

A density functional theory study on size-dependent structures,stabilities,and electronic properties of bimetallic M_nAg_m(M=Na,Li;n + m≤7) clusters

The equilibrium geometries,relative stabilities,and electronic properties of Mn Agm(M=Na,Li;n + m ≤ 7) as well as pure Ag n,Na n,Li n(n ≤ 7) clusters are systematically investigated by means of the density functional theory.The optimized geometries reveal that for 2 ≤ n ≤ 7,there are significant similarities in geometry among pure Ag n,Na n,and Li n clusters,and the transitions from planar to three-dimensional configurations occur at n = 7,7,and 6,respectively.In contrast,the first three-dimensional(3D) structures are observed at n + m = 5 for both Na n Ag m and Li n Ag m clusters.When n + m ≥ 5,a striking feature is that the trigonal bipyramid becomes the main subunit of Li n Ag m.Furthermore,dramatic odd-even alternative behaviours are obtained in the fragmentation energies,secondorder difference energies,highest occupied and lowest unoccupied molecular orbital energy gaps,and chemical hardness for both pure and doped clusters.The analytic results exhibit that clusters with an even electronic configuration(2,4,6) possess the weakest chemical reactivity and more enhanced stability.     

Ab initio CI investigation of hydrogen atom adsorption on LI clusters: Embedded cluster model.

The chemisorption of H on clusters representing the (100) surface of Li bcc lattice has been studied with ab initio SCF and CI methods and an embedding theory based on orbital localization (Whitten and Pakkanen, Phys. Rev. B21 (1980) 4357). The results suggest that a convergence of the properties for adsorption on cluster models is almost reached when all metal atoms involved in the adsorption are surrounded by their neighbors.     

Structures,stabilities,and electronic properties of GaAs tubelike clusters and single-walled GaAs nanotubes

<正>The geometric structures,stabilities,and electronic properties of(GaAs)_n tubelike clusters at up to n=120 and single-walled GaAs nanotubes(GaAsNTs) were studied by density functional theory(DFT) calculations.A family of stable tubelike structures with a Ga-As alternating arrangement were observed when n≥8 and their structural units (four-membered rings and six-membered rings) obey the general developing formula.The average binding energies of the clusters show that the tubelike cluster with eight atoms in the cross section is the most stable cluster.The sizedependent properties of the frontier molecular orbital surfaces explain why the long and stable tubelike clusters can be obtained successfully.They also illustrate the reason why GaAsNTs can be synthesized experimentally.We also found that the single-walled GaAsNTs can be prepared by the proper assembly of tubelike clusters to form semiconductors with large band gaps.     

Li原子修饰笼型Si6团簇的结构和储氢性能

利用杂化密度泛函B3LYP方法, 在6-311+G(d, p)基组水平上对Si6和Li修饰的Si6团簇的几何结构和电子性质及储氢性能进行模拟计算和理论研究. 结果表明, Si6团簇最低能量构型为笼型结构, 纯Si6团簇不能有效吸附氢分子. Li原子的引入显著改善了Si6团簇的储氢能力. 以两个Li原子端位修饰Si6团簇为载体, 其氢分子的平均吸附能为1.692~2.755 kcal/mol, 每个Li原子周围可以有效吸附五个氢分子, 储氢密度可达9.952wt%. 合适的吸附能和较高储氢密度表明Li修饰Si6团簇有望成为理想的储氢材料.     

Li原子修饰笼型Si_6团簇的结构和储氢性能

利用杂化密度泛函B3LYP方法,在6-311+G(d,p)基组水平上对Si_6和Li修饰的Si_6团簇的几何结构和电子性质及储氢性能进行模拟计算和理论研究.结果表明,Si_6团簇最低能量构型为笼型结构,纯Si_6团簇不能有效吸附氢分子.Li原子的引入显著改善了Si_6团簇的储氢能力.以两个Li原子端位修饰Si_6团簇为载体,其氢分子的平均吸附能为1.692~2.755 kcal/mol,每个Li原子周围可以有效吸附五个氢分子,储氢密度可达9.952 wt%.合适的吸附能和较高储氢密度表明Li修饰Si_6团簇有望成为理想的储氢材料.     

Chiral structures and tunable magnetic moments in 3d transition metal doped Pt₆ clusters

The structural, electronic, and magnetic properties of transition metal doped platinum clusters MPt 6 (M=Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, and Zn) are systematically studied by using the relativistic all-electron density functional theory with the generalized gradient approximation. Most of the doped clusters show larger binding energies than the pure Pt 7 cluster, which indicates that the doping of the transition metal atom can stabilize the pure platinum cluster. The results of the highest occupied molecular orbital (HOMO)-lowest unoccupied molecular orbital (LUMO) gaps suggest that the doped clusters can have higher chemical activities than the pure Pt 7 cluster. The magnetism calculations demonstrate that the variation range of the magnetic moments of the MPt 6 clusters is from 0 μ B to 7 μ B , revealing that the MPt 6 clusters have potential utility in designing new spintronic nanomaterials with tunable magnetic properties.     

A density functional theoretical investigation of RhSin（n = 1-6） clusters

This paper computationally investigates the RhSin （n = 1 6） clusters by using a density functional approach. Geometry optimizations of the RhSin （n = 1 6） clusters are carried out at the B3LYP level employing LanL2DZ basis sets. It presents and discusses the equilibrium geometries of the RhSin （n = 1-6） clusters as well as the corresponding averaged binding energies, fragmentation energies, natural populations, magnetic properties, and the energy gaps between the highest occupied molecular orbital and the lowest unoccupied molecular orbital. Theoretical results show that the most stable RhSin（n = 1-6） isomers keep an analogous framework of the corresponding Sin＋1 clusters, the RhSi3 is the most stable cluster in RhSin （n = 1-6） isomers. Furthermore, the charges of the lowest-energy RhSin （n = 1-6） clusters transfer mainly from Si atom to Rh atom. Meanwhile, the magnetic moments of the RhSin（n = 1-6） arises from the 4d orbits of Rh atom. Finally, compared with the Sin＋1 cluster, the chemical stability RhSin clusters are universally improved.     

密度泛函方法研究Nb2Sin(n=1～6)团簇

运用密度泛函方法在(U)B3LYP/LanL2DZ水平上研究了两个铌原子掺杂硅团簇的几何和电子结构。计算结果表明,Nb2Sin(n=1～6)团簇相对最稳定的结构基本上都保持了Sin+2团簇基态构型的框架,且除了Nb2Si2团簇外,所有的基态都是单重态构型.Nb2Si3的分裂能最大,成为Nb2Sin( n=1～6)团簇中热力学稳定性最强的. 在Nb2Si团簇和Nb2Si2 团簇中电子是从Nb原子向Si原子转移的;当n=3～6时,两个Nb原子的自然电子布局为负,说明Nb2Sin(n=3～6)团簇原子中带电子从Si原子转移到两个Nb原子,电子转移方向发生了改变,即发生了电子反转现象。     

密度泛函理论对ZrnPd团簇结构和性质的研究

用B3LYP/LANL2DZ方法对Zr_nPd(n =1—13)团簇的平衡几何结构、能量、频率、电子性质和磁性进行了计算.研究表明,Pd原子位于表面的异构体更为稳定,其中Zr₇Pd,Zr₁₂Pd团簇稳定性高,是幻数团簇,此外,相对于Zr_nCo与Zr_nFe团簇,Zr_nPd团簇参与化学反应的能力较弱,化学稳定性更     

Al_nMg_m(n+m=6,7;m=1,2)团簇的稳定性与电子结构

用遗传算法结合经验势对AlnMgm(n+m=6,7;m=1,2)的低能结构进行全局搜索,用从头计算方法研究了其稳定性和电子结构.计算表明AlnMgm存在多个能量相近的异构体,在Al Mg团簇中Mg-Mg相互作用远弱于Al-Al作用,稳定结构中Mg原子倾向于形成更多的Mg-Al键.自然键轨道(NBO)电荷分析表明Mg向Al转移电子,Al原子上的电荷大小强烈依赖于相连的Mg原子个数.电子结构分析表明随着原子数目的增大,占据轨道能级略有降低,同尺寸下掺杂一个Mg时能级更低;Al Mg团簇的能隙约为5.30 e V.     

AlnMgm (n+m=6,7;m=1,2)团簇的稳定性与电子结构

用遗传算法结合经验势对AlnMgm(n+m=6,7; m=1,2)的低能结构进行全局搜索,用从头计算方法研究了其稳定性和电子结构。计算表明AlnMgm存在多个能量相近的异构体,在AlMg团簇中Mg-Mg相互作用远弱于Al-Al作用,稳定结构中Mg原子倾向于形成更多的Mg-Al键。NBO电荷分析表明Mg向Al转移电子,Al原子上的电荷大小强烈依赖于相连的Mg原子个数。电子结构分析表明随着原子数目的增大,占据轨道能级略有降低,同尺寸下掺杂一个Mg时能级更低;AlMg团簇的能隙约为5.30 eV。     

Geometries, stabilities, and electronic properties of Be-doped gold clusters: a density functional theory study

We have systematically investigated the geometrical structures, relative stabilities and electronic properties of small bimetallic AunBe (n = 1, 2, . . . , 8) clusters using a density functional method at BP86 level. The optimized geometries reveal that the impurity beryllium atom dramatically affects the structures of the Aun clusters. The averaged binding energies, fragmentation energies, second-order difference of energies, the highest occupied-lowest unoccupied molecular orbital energy gaps and chemical hardness are investigated. All of them exhibit a pronounced odd-even alternation, manifesting that the clusters with even number of gold atoms possess relatively higher stabilities. Especially, the linear Au2Be cluster is magic cluster with the most stable chemical stability. According to the natural population analysis, it is found that charge-transferring direction between Au atom and Be atom changes at the size of n = 4.     

Li修饰的C24团簇的储氢性能

利用密度泛函理论研究了Li原子修饰的C₂₄团簇的储氢性能. Li原子在C₂₄团簇表面的最佳结合位是五元环. Li原子与C₂₄团簇之间的作用强于Li原子之间的相互作用, 能阻止它们在团簇表面发生聚集. 当Li原子结合到C₂₄表面时, 它们向C原子转移电子后带正电荷. 当氢分子接近这些Li原子时, 在电场作用下发生极化, 通过静电相互作用吸附在Li原子周围. 在Li修饰的C₂₄复合物中, 每个Li原子能吸附两到三个氢分子, 平均吸附能处于0.08到0.13 eV/H₂范围内. C₂₄Li₆能吸附12个氢分子, 储氢密度达到6.8 wt%.     

WmBn(m+n≤7)团簇结构与稳定性的密度泛函理论研究

采用密度泛函理论(DFT)中的B3LYP方法,在LANL2DZ基组水平上优化W_mB_n(m+n≤7)团簇的几何结构,得到它们的基态构型,并对基态构型的平均结合能、二阶能量差分、能隙及WIB键级进行计算.结果表明:WB_n团簇的基态构型均是平面结构;当m≥2且m+n≥4时,除W₃B团簇外,其余团簇的基态结构均为立体结构;团簇的热力学稳定性随W原子个数的增加越来越好,W-W键的强度明显高于W-B和B-B键,W原子对团簇的稳定性起主导作用;W₂B₂和W₃B团簇最稳定.     

Theoretical analysis of the experimental UV-Vis absorption spectra of some phenolic Schiff bases

The time-dependent density functional theory (TDDFT) was applied in conjunction with the natural bond orbital analysis to examine the UV-Vis properties of 10 phenolic Schiff bases. The calculations were performed with different functionals, but main discussion refers to results obtained at the B3LYP/6-311+G(d,p) level of theory. The approach based on the natural localised molecular orbital clusters indicates similar behaviour for majority of examined compounds. The HOMO (“highest occupied molecular orbital”) cluster is delocalised over the ring which is electron richer, the HOMO-1 cluster is spread over the other ring, whereas the LUMO (“lowest unoccupied molecular orbital”) cluster is situated on the imino group. The two bands at long wavelengths correspond to the HOMO → LUMO and HOMO-1 → LUMO transitions, i.e. from both A and B rings to the imino group. The next band originates from a transition from the imino group to the imino group. The band at the smallest wavelengths originates from a transition from the A ring to the A ring, or from the B ring to the B ring. Our findings are in very good agreement with the existing literature data.     

AunXm(n+m=4,X=Cu，Al，Y)混合小团簇的结构和稳定性研究

采用基于密度泛函理论的B3LYP方法，优化了Au_nX_m(n+m=4,X=Cu，A l，Y)二元混合团簇的稳定结构.计算了稳定结构的平均结合能、电离势、电子亲和势、最高占据轨道能级和最低空轨道能级及二者间的能隙.结合Mulliken集居数分析研究了二元混合团簇稳定存在的规律，得出掺杂可以增强团簇稳定性的结论. 关键词： 混合团簇 结合能 能隙 分子轨道集居数     

The 13-atom encapsulated gold cage clusters

The structure and the magnetic moment of transition metal encapsulated in a Au 12 cage cluster have been studied by using the density functional theory.The results show that all of the transition metal atoms(TMA) can embed into the Au 12 cage and increase the stability of the clusters except Mn.Half of them have the I h or O h symmetry.The curves of binding energy have oscillation characteristics when the extra-nuclear electrons increase;the reason for this may be the interaction between parity changes of extra-nuclear electrons and Au atoms.The curves of highest occupied molecular orbital-lowest unoccupied molecular orbital(HOMO-LUMO) gap also have oscillation characteristics when the extra-nuclear electrons increase.The binding energies of many M@Au 12 clusters are much larger than that of the pure Au 13 cluster,while the gaps of some of them are less than that of Au 13,so maybe Cr@Au 12,Nb@Au 12,and W@Au 12 clusters are most stable in fact.For magnetic calculations,some clusters are quenched totally,but the Au 13 cluster has the largest magnetic moment of 5 μ B.When the number of extra-nuclear electrons of the encapsulated TMA is even,the magnetic moment of relevant M@Au 12 cluster is even,and so are the odd ones.     

Application of a parallel genetic algorithm to the global optimization of medium-sized Au–Pd sub-nanometre clusters

To contribute to the discussion of the high activity and reactivity of Au–Pd system, we have adopted the BPGA-DFT approach to study the structural and energetic properties of medium-sized Au–Pd sub-nanometre clusters with 11–18 atoms. We have examined the structural behaviour and stability as a function of cluster size and composition. The study suggests 2D–3D crossover points for pure Au clusters at 14 and 16 atoms, whereas pure Pd clusters are all found to be 3D. For Au–Pd nanoalloys, the role of cluster size and the influence of doping were found to be extensive and non-monotonic in altering cluster structures. Various stability criteria (e.g. binding energies, second differences in energy, and mixing energies) are used to evaluate the energetics, structures, and tendency of segregation in sub-nanometre Au–Pd clusters. HOMO–LUMO gaps were calculated to give additional information on cluster stability and a systematic homotop search was used to evaluate the energies of the generated global minima of mono-substituted clusters and the preferred doping sites, as well as confirming the validity of the BPGA-DFT approach.