Cu原子掺杂在Al团簇中的结构和电子性质

利用密度泛函理论,对Al_n(n=1～15)团簇中掺杂Cu原子后的双金属团簇进行了研究,在结构优化的基础上,同时计算了双金属团簇的电子性质,即电子亲和能、电离势、Cu原子的Mulliken分布、平均极化率、极化率的各向异性、偶极矩及HOMO-LUMO能隙随团簇尺寸增加时的变化情况. 结果表明,Cu掺杂Al团簇的双金属团簇中也存在幻数结构,团簇的电子性质随团簇尺寸大小出现不规则的奇偶振荡变化. n=13的团簇电子亲和能和电离势与毗邻团簇相比,其变化要大于0.3和0.6 eV.     

Geometries,stabilities, and electronic properties analysis in In_nNi~((0,±1)) clusters: Molecular modeling and DFT calculations

Density functional theory(DFT) with the B3 LYP method and the SDD basis set is selected to investigate In_nNi,In_nNi~-, and In_nNi~+ (n = 1–14) clusters. For neutral and charged systems, several isomers and different multiplicities are studied with the aim to confirm the most stable structures. The structural evolution of neutral, cationic, and anionic In_nNi clusters, which favors the three-dimensional structures for n = 3–14. The main configurations of the In_nNi isomers are not affected by adding or removing an electron, the order of their stabilities is also nearly not affected. The obtained binding energy exhibits that the Ni-doped In_(13) cluster is the most stable species of all different sized clusters. The calculated fragmentation energy and the second-order energy difference as a function of the cluster size exhibit a pronounced even–odd alternation phenomenon. The electronic properties including energy gap(E_g), adiabatic electron affinity(AEA), vertical electron detachment energy(VDE), adiabatic ionization potential energy(AIP), and vertical ionization potential energy(VIP) are studied. The total magnetic moments show that the different magnetic moments depend on the number of the In atoms for charged In_nNi. Additionally, the natural population analysis of In_nNi~((0,±1)clusters is also discussed.     

Mon(n=2~10)团簇结构和性质的密度泛函理论研究

采用密度泛函理论下的广义梯度近似(Generalized Gradient Approximation, GGA)方法对Mon (n=2~10) 团簇的直线结构、平面结构和立体结构分别进行优化和分析. 结果表明仅直线结构具有双原子对结合趋势, 且偶数团簇比相邻奇数团簇稳定; 平面结构中奇数原子团簇锯齿状较稳定, 偶数原子团簇以多边形较稳定; 立体结构在所有维度中最稳定. 对团簇总磁矩的分析表明直线结构偶数团簇磁矩淬灭, 奇数团簇具有较大的反磁矩; 基态结构中仅Mo3和Mo8有2μB的磁矩. 基态结构的二阶能量差分、垂直电离势和能隙均表明Mo5为幻数团簇, 并分析了其热力学性质.     

Geometrical,electronic, and magnetic properties of CunFe (n=1–12) clusters: A density functional study

The geometrical, electronic, and magnetic properties of small Cu_nFe (n=1–12) clusters have been investigated by using density functional method B3LYP and LanL2DZ basis set. The structural search reveals that Fe atoms in low-energy Cu_nFe isomers tend to occupy the position with the maximum coordination number. The ground state Cu_nFe clusters possess planar structure for n=2–5 and three-dimensional (3D) structure for n=6–12. The electronic properties of Cu_nFe clusters are analyzed through the averaged binding energy, the second-order energy difference and HOMO–LUMO energy gap. It is found that the magic numbers of stability are 1, 3, 7 and 9 for the ground state Cu_nFe clusters. The energy gap of Fe-encapsulated cage clusters is smaller than that of other configurations. The Cu₅Fe and Cu₇Fe clusters have a very large energy gap (>2.4 eV). The vertical ionization potential (VIP), electron affinity (EA) and photoelectron spectra are also calculated and simulated theoretically for all the ground-state clusters. The magnetic moment analyses for the ground-state Cu_nFe clusters show that Fe atom can enhance the magnetic moment of the host cluster and carries most of the total magnetic moment.     

Ga6N6团簇结构性质的理论计算研究

在密度泛函理论的基础上，对Ga₆N₆团簇进行了第一性原理、全电子、从头计算，得到了10种可能的三维空间结构及其电子结构.其中最稳定结构的一对GaN原子的平均结合能为9.748 eV，因此是可能存在的.但与他人计算的Ga₃N₃和Ga₅N₅相比，Ga₆N₆团簇可能不属于“幻数”团簇.最稳定结构的Ga₆N_{6 关键词： GaN 团簇 电子结构}     

纳米团簇B92的密度泛函理论研究

利用密度泛函理论(DFT)研究了一种新颖的准球形纳米团簇B92.经过结构优化和频率分析,这一准球形笼状团簇的直径为0.968 nm,其结构满足Eoustani提出的"Aufbau principle".团簇B92的平均结合能、能隙(HOMO-LUMO gap)、垂直电离势(VIP)及垂直电子亲和势(VEA)分别为5.28 eV,1.19 eV,5.47eV及2.45 eV.计算所得到的红外谱(IR)上有一个明显的峰在895 Cm-1处.此谱将有助于从实验上确定本文所提出的团簇B92的结构,团簇B92的电荷分布表明,其有望成为未来纳米电子学中的一种电容器,另外,作为比较,本文也给出了其他一些笼状硼团簇的性质.     

铝氢化物(AlHn)(n=1-6)团簇结构与光谱的研究

采用密度泛函(DFT)中的B3P86方法，在Dunning的相关一致基组cc-PVTZ水平上，对铝氢化物(AlHn)(n=1-6)团簇的可能几何构型进行优化计算，得出最稳定构型的几何参数、电子结构、振动频率和光谱等性质参数，并给出了最稳定结构的总能量(ET)、结合能(EBT)、平均结合能(Eav)、电离势(EIP)、能隙(Eg)、费米能级(EF)和氢原子差分吸附能(Ediff)等．结果表明铝氢化物团簇基态稳定结构的电子态分别为：n为奇数为单重态 和 ，n为偶数为双重态 和 ；由于Al原子属于缺电子原子，能与等电子原子H化合，通过氢桥键形成氢化物，本文优化计算发现，铝氢化物团簇最稳定的构型都存在氢桥键，且n为奇数的氢化物的氢桥键作用比相邻偶数的氢化物强．最后计算了铝氢化物团簇最稳定结构的红外光谱、平均结合能、电离势、能隙和费米能级等动力学电子特性，分析得出(AlHn)(n=1-6)团簇中AlH3的电离势和能隙最大，说明该氢化物最稳定，氢原子差分吸附能最大．     

Cun(n=2-20)团簇的稳定性和电子性质的密度泛函研究

采用密度泛函理论中的PW91/DNP方法研究了Cun(n=2~20)团簇的稳定性和电子性质。结果表明：在n=2~8区间,平均结合能曲线几乎呈现线性增长;在n=9~20区间,平均结合能曲线相对较平缓。Cun(n=4, 7, 8, 17)团簇相对较稳定。Cun(n=2, 4, 8, 13, 19)团簇的能隙值相对较大,化学活性较弱。在n=2~20区间,垂直电离能略微大于绝热电离能, 绝热亲和能略微大于垂直亲和能。在n=2~9区间,电离能曲线呈现出显著的奇—偶振荡效应,即n为偶数团簇的电离能比临近奇数团簇的要大;亲和能曲线呈现出同电离能曲线相反的奇—偶振荡效应。     

铝氢化物(AlHn)(n=1-6)团簇结构与光谱的研究

采用密度泛函(DFT)中的B3P86方法,在Dunning的相关一致基组cc-PVTZ水平上,对铝氢化物(AlHn)(n=1-6)团簇的可能几何构型进行优化计算,得出最稳定构型的几何参数、电子结构、振动频率和光谱等性质参数,并给出了最稳定结构的总能量(ET)、结合能(EBT)、平均结合能(Eav)、电离势(EIP)、能隙(Eg)、费米能级(EF)和氢原子差分吸附能(Ediff)等．结果表明铝氢化物团簇基态稳定结构的电子态分别为：n为奇数为单重态 和 ,n为偶数为双重态 和 ;由于Al原子属于缺电子原子,能与等电子原子H化合,通过氢桥键形成氢化物,本文优化计算发现,铝氢化物团簇最稳定的构型都存在氢桥键,且n为奇数的氢化物的氢桥键作用比相邻偶数的氢化物强．最后计算了铝氢化物团簇最稳定结构的红外光谱、平均结合能、电离势、能隙和费米能级等动力学电子特性,分析得出(AlHn)(n=1-6)团簇中AlH3的电离势和能隙最大,说明该氢化物最稳定,氢原子差分吸附能最大．     

Formation of positive cluster ions Li(n) Br (n = 2-7) and ionization energies studied by thermal ionization mass spectrometry

Clusters of the type Li(n)X (X = halides) can be considered as potential building blocks of cluster-assembly materials. In this work, Li(n)Br (n = 2-7) clusters were obtained by a thermal ionization source of modified design and selected by a magnetic sector mass spectrometer. Positive ions of the Li(n)Br (n = 4-7) cluster were detected for the first time. The order of ion intensities was Li(2)Br(+) > Li(4)Br(+) > Li(5)Br(+) > Li(6)Br(+) > Li(3)Br(+). The ionization energies (IEs) were measured and found to be 3.95 ± 0.20 eV for Li(2)Br, 3.92 ± 0.20 eV for Li(3)Br, 3.93 ± 0.20 eV for Li(4)Br, 4.08 ± 0.20 eV for Li(5)Br, 4.14 ± 0.20 eV for Li(6)Br and 4.19 ± 0.20 eV for Li(7)Br. All of these clusters have a much lower ionization potential than that of the lithium atom, so they belong to the superalkali class. The IEs of Li(n)Br (n = 2-4) are slightly lower than those in the corresponding small Li(n) or Li(n)H clusters, whereas the IEs of Li(n)Br are very similar to those of Li(n) or Li(n)H for n = 5 and 6. The thermal ionization source of modified design is an important means for simultaneously obtaining and measuring the IEs of Li(n)Br (n = 2-7) clusters (because their ions are hermodynamically stable with respect to the loss of lithium atoms in the gas phase) and increasingly contributes toward the development of clusters for practical applications.     

Density functional investigations for geometric and electronic properties of In4M and In12M （M = C,Si, In） clusters

First-principle calculations are performed to study geometric and electronic properties of both neutral and anionic In4M and In12M （M = C, Si, In） clusters. In4C and In4Si are found to be tetrahedral molecules. The icosahedral structure is found to be unfavourable for In12M. The most stable structure for In12C is a distorted buckled biplanar structure while for In12Si it is of an In-cage with the Si located in the centre. Charge effect on the structure of In12M is discussed. In4C has a significantly large binding energy and an energy gap between the highest-occupied molecularorbital level and the lowest unoccupied molecular-orbital level, a low electron affinity, and a high ionization potential, which are the characters of a magic cluster, enriching the family of doped-group-IIIA metal clusters for cluster-assembled materials.     

Al_nCl(n=2-14)团簇结构与电子性质的理论研究

运用卡里普索(CALYPSO)结构预测方法,在杂化密度泛函B3LYP/6-311G+(d)基组水平上,对Al_nCl(n=2-14)团簇的几何结构与电子性质进行优化计算,并讨论了团簇的平均结合能、能隙、二阶能量差分、电离能、亲和能以及电子自然布居和极化率.研究结果表明:Al_nCl(n=2-14)团簇的基态构型由简单平面几何结构向立体结构演化,形成Cl原子戴帽Al_n-1Cl团簇结构;Cl原子的掺杂增大了Al_n团簇的平均结合能;二阶能量差分、能隙、电离能、亲和能的变化表明Al_7Cl是幻数团簇结构;团簇中的电荷总是由Al_原子向Cl原子转移,原子之间的成键作用随着团簇尺寸的增大而增强.     

AlnCl(n=2-14)团簇结构与电子性质的理论研究

运用卡里普索(CALYPSO)结构预测方法,在杂化密度泛函B3LYP/6-311G+(d)基组水平上,对AlnCl(n=2-14)团簇的几何结构与电子性质进行优化计算,并讨论了团簇的平均结合能、能隙、二阶能量差分、电离能、亲和能以及电子自然布局和极化率。研究结果表明：AlnCl(n=2-14)团簇的基态构型由简单平面几何结构向立体结构演化,形成Cl原子戴帽Aln-1Cl团簇结构;Cl原子的掺杂增大了Aln团簇的平均结合能;二阶能量差分、能隙、电离能、亲和能的变化表明Al7Cl是幻数团簇结构;团簇中的电荷总是由Al原子向Cl原子转移,原子之间的成键作用随着团簇尺寸的增大而增强。     

Geometrical, electronic, and magnetic properties of small AunSc (n=1-8) clusters

Geometrical, electronic, and magnetic properties of the Sc-doped gold clusters, Au_nSc (n=1-8), have been studied using the density-functional theory within the generalized gradient approximation. An extensive structural search shows that the Sc atom in low-energy Au_nSc isomers tends to occupy the most highly coordinated position. The substitution of a Sc atom for an Au atom in the Au_n+1 cluster markedly changes the structure of the host cluster. Moreover, we confirm that the ground-state Au₆Sc cluster has a distortion to a lower D_2h symmetry. The relative stabilities and electronic properties of the lowest-energy Au_nSc clusters are analyzed based on the averaged binding energies, second-order energy differences, fragmentation energies, chemical hardnesses, and HOMO-LUMO gaps. It is found that the magic Au₃Sc cluster can be perceived as a superatom with high chemical stability and its HOMO-LUMO gap is larger than that of the closed-shell Zr@Au₁₄ cluster. The high symmetry and spin multiplicity of the Au₃Sc and Au₆Sc clusters are responsible for their large vertical ionization potential and electron affinity. The magnetism calculations indicate that the magnetic moment of the Sc atom in the ground-state Au_nSc (n=2-8) clusters gradually decreases for even n and is completely quenched for odd n.     

First-Principles Study of Geometries,Stabilities and Electronic Properties of Ca2Sin （n=1-11） Clusters

The equilibrium geometries, relative stabilities, and electronic properties of Ca2Sin （n = 1-11） clusters have been systematically investigated by using the density function theory at the 6-311G （d） level The optimized geometries indicate that the most stable isomers have three-dimensional structures for n = 3-11. The electronic properties of Ca2 Sin （n = 1-11） dusters axe obtained through the analysis of the natural charge population, natural electron configuration, vertical ionization potential, and vertical electron affinity. The results show that the charges in corresponding Ca2Sin clusters transfer from the Ca atoms to the Sin host. Based on the obtained lowest-energy geometries, the size dependence of cluster properties, such as averaged binding energies, fragmentation energies, second-order energy differences, HOMO- LUMO gaps and chemical hardness, are deeply discussed.     

(C60)N团簇稳定结构的遗传算法研究

采用Pacheco-Ramalho相互作用势,结合改进的遗传算法研究了(C60)N团簇(N=3～25)的稳定结构与“幻数“序列,并研究了(C60)N 团簇的势能变化.结果表明:团簇的稳定结构与构成团簇的C60分子数目有密切的关系.随着C60分子数目的增大,团簇的稳态结构呈现出由层状变为壳状,然后又转变为层状结构的变化趋势.随着组成C60分子数的增多,团簇中分子的平均势能呈下降的趋势,下降的幅度随着分子数的增大而越来越小.     

Structures and electronic properties of Mo2nNn（n=1-5）:a density functional study

The lowest-energy structures and the electronic properties of Mo2nNn(n=1-5) clusters have been studied by using the density functional theory(DFT) simulating package DMol 3 in the generalized gradient approximation(GGA).The resulting equilibrium geometries show that the lowest-energy structures are dominated by central cores which correspond to the ground states of Mo n(n = 2,4,6,8,10) clusters and nitrogen atoms which surround these cores.The average binding energy,the adiabatic electron affinity(AEA),the vertical electron affinity(VEA),the adiabatic ionization potential(AIP) and the vertical ionization potential(VIP) of Mo2nNn(n=1-5) clusters have been estimated.The HOMO-LUMO gaps reveal that the clusters have strong chemical activities.An analysis of Mulliken charge distribution shows that charge-transfer moves from Mo atoms to N atoms and increases with cluster size.     

Density functional investigation of structural and electronic properties of small bimetallic silver–gold clusters

Structural and electronic properties of bimetallic silver–gold clusters up to eight atoms are investigated by the density functional theory using Wu and Cohen generalized gradient approximation functional. By substitution of Ag and Au atoms, in the optimized lowest energy structures of pure gold and silver clusters, we determine the ground state conformations of the bimetallic silver–gold ones. We reveal that Ag atoms prefer internal positions whereas Au atoms prefer exposed ones favoring charge transfer from Ag to Au atoms. For each size and composition, binding energy, HOMO–LUMO gap, magnetic moment, vertical ionization potential, electron affinity and chemical hardness were calculated. On increasing the size of the cluster by varying number of Ag atoms with fixed number of Au ones, vertical ionization potential and electron affinity show obvious odd–even oscillations consistent with the pure Ag and Au clusters. Au atoms inclusion in the cluster increases the binding energy and vertical ionization potential, indicating higher stability as the number of Au atoms grows. The variation of chemical hardness with the composition in a cluster with the same size shows peaks when the number of Ag atoms is greater than or equal to Au ones, corresponding to transition from planar to tri-dimensional structures. For clusters with even number of atoms, the peaks indicate that the clusters with the same number of Ag and Au atoms are the most stable ones. Analyzing the density of states, we found that increasing the concentration of Ag atoms affects the energy separation between the HOMO and the low lying occupied states.     

Observation of multiple scattering in (e, 2e) experiments on small argon clusters

A kinematically complete experiment for 100 eV electron-impact ionization of small argon clusters was realized. The triple coincidence detection of both outgoing electrons and the residual ion allows the discrimination between single ionization of atoms, dimers and non-mass-selected small clusters as well as between ionization and excitation within the same cluster. Comparison of fully and partly differential ionization cross sections for clusters with those of atoms reveal clear signatures of multiple-scattering reactions. For ionization with excitation, an almost isotropic electron emission pattern is observed.     

M2Al2(M=Au,Ag,Cu)混合小团簇的密度泛函研究

采用基于密度泛函理论的B3LYP方法,利用小核实赝势LANL2DZ,优化了含重金属二元混合团簇M2Al2(M=Au,Ag,Cu)的稳定结构,并得出具有C2v(1A1)对称性的蝴蝶结构比平面构型更加稳定,其中团簇Au2Al2最稳定.计算了稳定结构的结合能、电离势、电子亲和能、最高占据轨道能级和最低空轨道能级及二者间的能隙,得出参杂团簇M2Al2比非参杂团簇M4(M=Au,Ag,Cu)更稳定的结论.