NiMgn(n=1—12)团簇的第一性原理研究

采用基于密度泛函理论(DFT)中的广义梯度近似 (GGA),在考虑自旋多重度的情况下,对NiMg_n(n=1—12)团簇进行了构型优化,频率分析和电子性质计算.结果表明：n=1,2时,体系的基态为自旋三重态,n≥3时,为单重态;Ni原子掺杂使主团簇结构发生了明显变化. n≤8时,三角双锥,四角双锥结构主导着NiMg_n基态团簇的生长行为; n在9—12之间时,主团簇Mg_n+1(n=1—12)的基于三棱柱构型的基态演化行为发生了一定程度的改变;n≥6时,Ni原子陷入了主团簇内部;掺杂使体系的平均结合能增大,能隙减小;n=4,6,10是团簇的幻数;不同尺寸团簇的s, p, d轨道杂化中,Ni原子3d, 4p成分所起作用不同; NiMg₆基态结构具有很高的对称性(O_h),很好的稳定性和化学活性,能隙仅为0.25eV. 关键词： n团簇')" href="#">NiMg_n团簇 几何结构 稳定性 化学活性     

密度泛函理论计算GenFe(n=1—8)团簇的基态结构及其磁性

基于第一性原理，利用密度泛函理论中的广义梯度近似 (GGA)对Ge_nFe(n=1—8)团簇进行了结构优化、能量及频率的计算，得到了 Ge_nFe(n=1—8)团簇在不同自旋多重度下的平衡构型及其基态结构.结果表明：Ge_nFe混合团簇的平均结合能明显比相应纯锗团簇的平均结合能有所增大，即掺杂Fe原子可以提高锗团簇的稳定性；纯锗团簇的基态除了Ge₂为自旋三重态外其他均为单重态，而混合团簇Ge_nFe(n=1—8)的基态均为自旋三重态；对Ge_nFe(n=1—8)团簇的磁性做了较系统的研究，发现团簇总磁矩随团簇尺寸增大基本稳定在2μ_B (只有Ge₈Fe的总磁矩2.391μ_B较明显地偏离了2μ_B)，另外团簇中Fe原子的磁矩在2.5μ_B左右振荡. 关键词： nFe团簇')" href="#">Ge_nFe团簇 密度泛函理论(DFT) 自旋多重度 磁矩     

合金团簇(FeCr)n中的非共线磁序和自旋轨道耦合效应

利用密度泛函理论对合金团簇(FeCr)_n (n≤6)的几何结构、稳定性和磁性进行了系统的研究. 研究结果表明, 对n≤3的合金团簇, 其基态具有共线的反铁磁序; 而对于n≥4 的合金团簇, 其基态具有非共线磁序, 因此在n=4时体系发生了共线磁序向非共线磁序的“相变”. 此外, 虽然3d过渡金属原子中电子的自旋轨道耦合效应比较弱, 但计算结果表明对于某些小尺寸的合金团簇其轨道磁矩不能忽略. 对非共线磁性团簇的成键性质以及产生磁序“相变”的物理起源进行了详细讨论. 关键词： n合金团簇')" href="#">(FeCr)_n合金团簇 密度泛函理论 非共线磁序 自旋轨道耦合效应     

密度泛函理论研究Zrn(n=2—16)团簇的基态结构及其稳定性

从第一性原理出发，利用密度泛函理论中的广义梯度近似(GGA)对Zr_n(n=2—16)团簇进行了结构优化、能量和频率计算.在充分考虑自旋多重度的前提下，对每一具体尺寸的团簇，得到了多个平衡构型，并根据能量高低确定了团簇的基态结构.综合团簇的结合能、离解能、二阶能量差分以及团簇的最高占据轨道(HOMO)和最低未占据轨道(LUMO)间的能隙可知Zr₂，Zr₅，Zr₇，Zr₁₃ 关键词： n团簇')" href="#">Zr_n团簇 密度泛函理论(DFT) 基态结构 自旋多重度     

密度泛函理论研究BeSin(n=1-12)团簇的结构、稳定性与电子性质

运用密度泛函理论(DFT),考虑多种初始构型下的自旋多重态,在B3LYP/6-311G基组水平上研究BeSi_n(n=1-12)团簇的平衡几何结构、电子性质、振动光谱与极化率.结果表明:BeSi_n团簇在基态附近有许多能量非常接近的同分异构体,且BeSi_n团簇的基态结构绝大多数为立体结构.n=1时,体系的基态为自旋三重态,n≥2时,则为单重态.铍原子的掺入使得主团簇的电子性质发生了明显的变化,掺杂使得体系的化学稳定性降低.BeSi₃,BeSi₅,BeSi₇与BeSi₉是幻数结构.团簇中原子间的成键相互作用随n的增大而增强.     

密度泛函理论研究BnNi(n=6—12)团簇的结构和磁性

基于第一性原理,用密度泛函理论中的广义梯度近似(generalized gradient approximation,GGA)方法,在充分考虑自旋多重度的前提下,优化并得到了B_n(n=6—12)和B_nNi(n=6—12)团簇的平衡构型,按照能量最低原理确定其基态结构. B_n团簇的计算结果与已有的理论结果相一致. 当Ni原子掺杂在B_n团簇 关键词： nNi团簇')" href="#">B_nNi团簇 基态结构 磁性     

Cu13团簇几何和电子结构的密度泛函研究

利用遗传算法结合Gupta原子间相互作用势,采用密度泛函理论,系统研究了带电 团簇的基态与低激发态的几何结构和电子结构并与中性Cu13团簇进行了对比．计算结果表明：对 Cu13（中性及带电）团簇,高对称性几何构型在众多异构中无能量竞争性优势,团簇基态结构皆为非紧致低对称性结构,对 负电Cu13找到一种新的低对称性最低能结构;带电明显影响团簇结构稳定性,带电Cu13团簇与中性Cu13团簇的结构稳定性序列显著不同;基态 Cu13（中性及带电）团簇的具有磁矩最小化效应,而其高对称性结构则有较大磁矩;计算所得Cu13团簇电离能及电子亲和势与实验结果相符．     

B$lt;sub$gt;$lt;i$gt;n$lt;/i$gt;$lt;/sub$gt;($lt;i$gt;n$lt;/i$gt;=2—15)团簇的几何结构和电子性质

应用密度泛函理论中的B3LYP方法计算并分析了不同生长模式下B_n（n=2—15）团簇的几何结构及电子性质. 同时,比较和讨论了不同生长模式下硼团簇的原子束缚能、能级间隙和第一电离势. 研究表明：直线构型稳定性最低,金属性较强,尤其在n=8时能隙仅有0.061 eV,说明该团簇已具有金属特征. 平面或准平面构型稳定性最高,非金属性强. 立体构型的稳定性与金属性介于直线和平面构型之间. 另外,还讨论了基态团簇的束缚能、能量二阶差分、能级间隙和第一电离势随团簇尺寸的变化,结果表明B₁₂与B₁₄是幻数团簇. 关键词： n团簇')" href="#">B_n团簇 密度泛函理论 几何结构 电子性质     

利用密度泛函理论研究BnNi(n≤5)小团簇的结构和磁性

基于第一性原理，用密度泛函理论中的广义梯度近似方法，获得了B_nNi(n≤5)小团簇在不同自旋多重度下的几何构型，确定了最低能量结构，并计算了相应的频率、平均结合能和磁性. 结果表明：B_nNi(n≤5)小团簇最低能量结构的自旋多重度分别为2，1，2，1，2；Ni掺入B团簇后增大了其结合能；Ni原子磁矩和团簇总磁矩随团簇尺寸增大而呈现振荡趋势. 关键词： nNi小团簇')" href="#">B_nNi小团簇 自旋多重度 磁性     

WmCn(m+n≤7)团簇的几何结构与稳定性

利用密度泛函理论(DFT)中的杂化密度泛函B3LYP方法在LANL2DZ基组水平上对W_mC_n(m+n≤7)团簇进行几何构型全优化,得出它们的基态结构,并计算基态结构的平均结合能、二阶能量差分、能隙及键级.结果表明:随着W原子个数的增加,团簇的结构由线性转变为平面,再转变为立体结构,其中自旋多重度未超过5;C原子的掺杂增强团簇的稳定性;分析团簇Wiberg键级可知,团簇中W-C键级明显大于W-W和C-C键级,表明W_mC_n(m+n≤7)团簇最容易形成W-C键.     

Ab initio calculation of the geometric,electronic and magnetic properties of neutral and anionic Au n Pd (n = 1–9) clusters

The ab initio method based on density functional theory at the B3PW91 level has been applied to study the geometric, electronic, and magnetic properties of neutral and anionic Au _n Pd (n?=?1–9) clusters. The results show that the most stable geometric structures adopt a three-dimensional structure for neutral Au₇Pd and Au₈Pd clusters, but for anionic clusters, no three-dimensional lowest-energy structures were obtained. The relative stabilities of neutral and anionic Au _n Pd clusters were analysed by means of the dependent relationships between the binding energies per atom, the dissociation energies, the second-order difference of energies, the HOMO–LUMO energy gaps and the cluster size n, and a local odd–even alternation phenomenon was found. Natural population analysis indicates the sequential transfer from the Pd atom to the Au _n frame in Au_1,2,3,5Pd and Au_2,3Pd^? clusters, and from the Au _n frame to the Pd atom in other clusters. Much to our surprise, irrespective of whether it is the total magnetic moment or the local magnetic moment, the magnetic moment presents an odd–even alternation phenomenon as a function of the cluster size n. The magnetic effects are mainly localized on the various atoms (Au or Pd) for different cluster size n.     

密度泛函理论研究Hg与Auqn(n=1—6, q=0,+1,-1) 团簇的相互作用

采用密度泛函理论中的广义梯度近似对Hg与小团簇Au ^q_n (n=1—6, q=0, +1, -1)的相互作用进行了系统研究. 结果表明,除Au₅^+,-团簇外,前线分子轨道理论可以成功预测大部分Au _n Hg ^q 复合物的最低能量结构. Au_n团簇对Hg的吸附受团簇尺寸大小和团簇所携带电荷的影 关键词： 密度泛函理论 汞 金团簇 吸附能     

Rydberg excitations in rare gas clusters: structure and electronic spectra of Ar* n (3 ≤ n ≤ 25)

Likely candidates are located for the global potential energy minima of Ar* _n (3 ≤ n ≤ 25) clusters using the diatomics-in-molecules (DIM) approach. The favoured geometries are found to be different from the structures of Ar⁺ _n and correspond to the trimer Ar*₃ bound to the surface of an Ar _n?2 core via a common atom. The Ar _n?2 core is usually only slightly distorted from its own global potential minimum, although in a few cases it corresponds to a nearby local minimum. Therefore, the ‘magic’ sizes of the excimer systems are predicted to differ from those of the ions and correlate instead with the stability of Ar _n?2. The predicted electronic photoabsorption and emission spectra of Ar* _n , and photoexcitation spectra of Ar _n are discussed in terms of experimental data. Global potential energy minima for neutral Ar _n up to n = 55 with the Aziz potential are summarized also; the structure is the same as for the Lennard-Jones potential except at n = 21 where the stabilities of the two lowest Lennard-Jones minima are reversed.     

单母体遗传算法优化(H2O)n(n≤14)的结构

在传统遗传算法的基础上提出了单母体遗传算法(single-parent genetic algorithm, SPGA)，通过对母体团簇实施两种不同的变异操作对结构进行优化，给出了分子团簇结构优化的算法实现. 结合TIP3P模型势函数，研究了水分子团簇(H₂O)_n(n≤14)的稳定结构. 优化结构和已有理论及实验结果一致. 计算结果表明当n<8时，平均结合能随n增加较快；当n≥8时有小的起伏. n=4,8,10,12的团簇结构具有较高对称性，比较稳定. 关键词： 单母体遗传算法 水分子团簇 结构优化     

Electronic structure and infrared spectrum of a WnC0＇± （n= 1-6） cluster

W_nC^0,± (n=1-6) clusters are investigated by using the density functional theory (DFT) at the B3LYP/LANL2DZ level. We find that the neutral, anionic and cationic ground state structures are similar within the same size, and constituted by substituting a C atom for one W atom in the structures of W_n+1 clusters. The natural bond orbital (NBO) charge analyses indicate that the direction of electron transfer is from the W atom to the 2p orbital of the C atom. In addition, the calculated infrared spectra of the W_nC^0,± (n=2-6) clusters manifest that the vibrational frequencies of neutral, anionic and cationic clusters are similar in a range of 80 cm^-1-864 cm^-1. The high frequency, strong peak modes are found to be an almost stretched deformation of the carbide atom. Finally, the polarizabilities of W_nC^0,± (n=1-6) clusters are also discussed.     

Structural and electronic properties of silver-doped gold clusters Au n Ag v (2 ≤ n ≤ 10; v = 0, ±1): comparison with pure gold clusters

The structural and electronic properties of silver-doped gold clusters Au _n Ag ^v (2?≤?n?≤?10; v?=?0,?±1) have been systematically investigated using density functional theory. The results show that the ground state optimal structures of the cationic and neutral clusters are found to be planar up to n?=?3 and 9, respectively. However, for the anionic clusters, no three-dimensional lowest-energy structures are obtained according to DFT calculations. The calculated binding energy and dissociation energy as a function of cluster size exhibit odd–even alternations. The natural population analysis indicates that in Au _n Ag ^v clusters charges transfer from the Ag atom to the Au frames. The trends for the vertical detachment energies, adiabatic electron affinities, adiabatic ionization potentials, and chemical hardness of Au _n Ag ^v clusters, as the cluster size increases, are studied in detail and compared with the available experimental data.     

Fluorinated ferromagnetic metal clusters and their superhalogen behaviour

Density functional theory calculations on the ground-state geometries and spin multiplicities of neutral and anionic ferromagnetic metal fluoride clusters, MF_n (M = Fe, Co and Ni; n = 1–7), have been performed. The results show that in the case of FeF_n and CoF_n clusters, a maximum of five F atoms can be bound atomically to metal atoms while four in the case of NiF_n. The remaining F atoms bind either very weakly or molecularly. The stabilities of all MF_n clusters are discussed by calculating dissociation energies to F atoms and F₂ molecules. We notice that the anionic species are relatively more stable than corresponding neutrals. The electron affinities of these clusters are very large, reaching values as high as 7.98 eV. Therefore, these clusters can be regarded as superhalogens.     

A systematic investigation of the geometries,electronic and magnetic properties of AlnAsq (q = −1, 0, +1; n = 1–16) clusters: a DFT calculation

The geometries, electronic and magnetic properties of Al_nAs^q (q = ?1, 0, +1; n = 1–16) clusters have been investigated systematically by using an unbiased CALYPSO structure searching method and density functional theory. The lowest energy structures show that the As atom prefers to occupy the peripheral position of Al_n+1 clusters instead of the endohedral position. For cationic and neutral clusters, the structural transition from bilayer-like structure to cage-like structure is observed at cluster size n = 12, while it occurs at n = 13 for anionic clusters. The calculated detachment energies (DEs), ionisation potentials (IPs) and electronic affinities (EAs) are consistent with the available experimental and theoretical results for small clusters, indicating that the calculated lowest energy structures are reliable. Furthermore, the DE, EA and IP values for cluster size n ≥ 6 are successfully predicted. A stability analysis shows that Al₅As and Al₁₂As⁺ clusters have relatively large HOMO–LUMO energy gaps, corresponding to the magic numbers of 20 and 40 valence electrons, respectively.     

TiGen-(n=7~12)团簇的光电子能谱及密度泛函理论研究

利用光电子能谱及密度泛函理论计算对TiGe_n^-(n=7~12)团簇的几何结构及电子特性等进行了系统研究. 对于TiGe_n^-负离子及中性TiGe_n,在n=8时出现了钛原子半内嵌的船型结构;在n=9~11时,新增的锗原子加盖到这种船型结构上,逐步形成钛原子完全内嵌的结构. TiGe₁₂^- 团簇具有一种钛原子内嵌的变形六棱柱结构. 自然布居分析结果显示,对于n=8~12的TiGe_n^-/0 团簇,随着内嵌结构的形成,有电子从锗原子转移到钛原子,说明其电荷转移方式与结构演变密切相关.     

Structure and stability of small zinc oxide clusters

The structure and stability of small neutral and positively charged zinc oxide (ZnO) _n clusters (n = 2−9) have been studied within the density functional theory. For n ≤ 7, the most stable clusters are shown to be flat rings; for n = 8, 9, the clusters are mainly three-dimensional cage structures. The energies and main channels of fragmentation of the clusters have been determined. It has been found that the fragmentation of the charged clusters with n > 6 occurs predominantly with formation of a (ZnO)₄⁺ ion, which explains the available mass spectrometric data on ionization of the zinc oxide clusters by electron impact.