GamPn和GamP-n团簇结构及其光电子能谱的理论研究

采用密度泛函理论中B3LYP泛函方法，在6—31G^*水平上，对Ga_mP_n(m+n≤5)团簇及其阴离子的几何构型和振动光谱性质进行了研究. 在相同水平下计算了Ga_mP^-_n(m+n≤5)的垂直电离能和Ga_mP_n(m+n≤5)的绝热电子亲核势. 结果表明：单线态稳定结构有较高的对称性，二重态的稳定结构对称性相对较低. 关键词： mP_n和Ga_mP^-_n团簇')" href="#">Ga_mP_n和Ga_mP^-_n团簇 密度泛函理论 光电子能谱     

AlnCum (n=2-6, m=1-3)团簇的几何与电子结构

本文利用密度泛函理论研究了Al_nCu_m(n=2-6,m=1-3)团簇的几何结构、稳定性和电子结构.结合能、解离能以及最高占据轨道(HOMO)和最低未占据轨道(LUMO)之间的能隙的分析表明8和20价电子的Al₂Cu₂和Al₆Cu₂团簇具有较强的稳定性.通过对团簇的分子轨道和能级结构进行分析,结果表明8和20价电子的Al₂Cu₂和Al₆Cu₂团簇的分子轨道与凝胶模型预测的一致,可构成闭合壳层,表现出特别的稳定性.Cu原子定域的3d轨道位于团簇的分子轨道之间,但并未影响团簇分子轨道的分布.     

In_nAs_n(n=1～20)小团簇几何结构与电子性质的第一性原理研究

基于密度泛函理论的第一性原理方法,采用B3LYP下的赝势基组LanL2DZ,研究了In_nAs_n（n=1～20）团簇的基态几何结构、相对稳定性、电子性质及其振动光谱.结果表明,当n=5～11时团簇的基态构型为层状结构;当n=12～20时团簇的基态构型为笼状结构.团簇平均结合能、二阶能量差分和HOMO-LUMO能隙均在n=9,12,18出现极大值,说明In₉ As₉、In₁₂ As₁₂和In₁₈ As₉18)为幻数团簇.另外,HOMO-LUMO能隙的计算结果表明In_nAs_n（n=1～20）团簇具有宽带隙半导体特征.     

第一性原理对GanPm小团簇的结构及稳定性的研究

利用密度泛函理论（DFT）对Ga_nP和Ga_nP₂ (n=1—7)团 簇的几何结构、电子态及稳定 性进行了研究. 在B3LYP/6-31G^*水平上进行了结构优化和频率分析，得到了Ga _nP和Ga_nP₂(n=1—7) 团簇的基态结构. 结果表明，n≤ 5团簇的几何结构基本上为平面结构，n ＞ 5的团簇均为立体结构；在Ga_nP₂ (n=1—6)团簇中，P-P比Ga-P容易 成键；在Ga_nP和G a_nP₂ (n=1—7) 团簇中，Ga₃P, Ga₄P, Ga P₂, Ga₂P₂ 和 Ga₄P₂的基态结构最稳定，在所研究的团簇中，稳定性随团簇总原 子数的增大而减小. 关键词： nP_m团簇')" href="#">Ga_nP_m团簇 密度泛函理论（DFT） 几何结构 电子态     

Sin（n≤30）团簇光谱和电子性质的密度泛函理论研究

采用密度泛函理论对Sin（5≤n≤30）团簇的吸收光谱,能隙（HOMO-LUMO）及电子性质进行了模拟分析。硅团簇的吸收光谱计算采用含时密度泛函理论的ALDA内核。结果表明,随着Sin（5≤n≤30）团簇尺寸的增大,团簇的吸收光谱逐渐红移,表现出较强的量子尺寸效应。团簇Sin（5≤n≤30）的吸收峰主要集中在红外光区。团簇的吸收峰主要受团簇的原子个数和电子结构影响。     

Si_n(n≤30)团簇光谱与电子性质的密度泛函理论研究

采用密度泛函理论对Sin(5≤n≤30)团簇的吸收光谱,能隙(HOMO-LUMO)及电子性质进行了模拟分析.硅团簇的吸收光谱计算采用含时密度泛函理论的ALDA内核.结果表明,随着Sin(5≤n≤30)团簇尺寸的增大,团簇的吸收光谱逐渐红移,表现出较强的量子尺寸效应.团簇Sin(5≤n≤30)的吸收峰主要集中在红外光区.团簇的吸收峰主要受团簇的原子个数和电子结构影响.     

密度泛函理论研究Scn，Yn和Lan(n=2—10)团簇的稳定性、电子性质和磁性

通过采用密度泛函理论对Sc₂,Y₂和La₂基本性质的计算,选择在较优理论水平下系统地研究了Sc_n, Y_n和La_n(n=2—10)团簇的几何结构、稳定性、电子性质和磁性及其随团簇尺寸的变化趋势.此同族三种团簇的稳定性由原子密堆集几何结构效应决定,幻数均表现出一致的结果.La_n团簇的能隙比 关键词： n')" href="#">Sc_n n和La_n团簇')" href="#">Y_n和La_n团簇 密度泛函理论 电子性质 磁矩     

Eu_mSi_n(m=1～2,n=1～8)团簇结构和性质的密度泛函理论研究

在密度泛函理论的框架下,采用广义梯度近似（GGA）研究了Eu₂Si_n（n=1～7）团簇的基态几何结构,系统计算了平均结合能E_b、二阶能量差分△₂E、最高占据轨道（HOMO）与最低未占据轨道（LUMO）之间的能隙,并与已有的EuSi_n（n=2～8）团簇相关数据作对比分析.研究表明:单Eu原子比双Eu原子掺杂的Si团簇具有更高的稳定性,EuSi₃、EuSi₆、Eu₂Si₄团簇较相应邻近团簇结构稳定;Eu_mSi_n（m=1～2,n=l～8）团簇的能隙随着团簇总原子数的增加呈现振荡变化,态密度分析得到能隙振荡变化的原因是S原子的s轨道与Eu原子的p轨道发生了杂化.     

FeBN(N≤6)团簇的结构与磁性

利用密度泛函理论中的广义梯度近似(GGA)，在考虑自旋多重度后，预测了FeB_N(N≤6)团簇的基态结构.结果表明基态团簇的自旋多重度分别为4，3，2，1，2和1，其中FeB₄团簇比较稳定.同时对FeB_N(N≤6)基态团簇的磁性做了系统地研究，发现除了FeB₅团簇外，FeB_N(N≤6)团簇的总磁矩和Fe原子磁矩随团簇尺寸的增大而减小. 关键词： N团簇')" href="#">FeB_N团簇 自旋多重度 磁矩     

金镉混合纳米团簇的结构布局和电子性质的理论研究

采用基于密度泛函理论的Dmol~3模拟软件包对Au_nCd_n(1≤n≤6)团簇的几何结构进行优化,并对其能量和电子性质进行了分析.结果表明:n=1-2,团簇的最低能量结构是平面结构;n=3-6,结构为三维立体结构.随着团簇尺寸的增加,团簇的平均结合能呈上升趋势.最高占据轨道和最低未占据轨道之间的能隙,电子亲和势,和电离势呈现明显的奇偶变化,团簇的幻数为n=2,4,6.     

Magnetism of small V clusters embedded in a Cu fcc matrix: an ab initio study

We present extensive first principles density functional theory (DFT) calculations dedicated to analyze the magnetic and electronic properties of small V _n clusters (n = 1, 2, 3, 4, 5, 6) embedded in a Cu fcc matrix. We consider different cluster structures such as: (i) a single V impurity, (ii) several V₂ dimers having different interatomic distance and varying local atomic environment, (iii) V₃ and (iv) V₄ clusters for which we assume compact as well as 2- and 1-dimensional atomic configurations and finally, in the case of the (v) V₅ and (vi) V₆ structures we consider a square pyramid and a square bipyramid together with linear arrays, respectively. In all cases, the V atoms are embedded as substitutional impurities in the Cu network. In general, and as in the free standing case, we have found that the V clusters tend to form compact atomic arrays within the cooper matrix. Our calculated non spin-polarized density of states at the V sites shows a complex peaked structure around the Fermi level that strongly changes as a function of both the interatomic distance and local atomic environment, a result that anticipates a non trivial magnetic behavior. In fact, our DFT calculations reveal, in each one of our clusters systems, the existence of different magnetic solutions (ferromagnetic, ferrimagnetic, and antiferromagnetic) with very small energy differences among them, a result that could lead to the existence of complex finite-temperature magnetic properties. Finally, we compare our results with recent experimental measurements.     

Ab initio study of formation, migration and binding properties of helium-vacancy clusters in aluminum

Ab initio calculations based on density functional theory have been performed to study the dissolution and migration of helium, and the stability of small helium-vacancy clusters He_nV_m (n, m=0-4) in aluminum. The results indicate that the octahedral configuration is more stable than the tetrahedral. Interstitial helium atoms are predicted to have attractive interactions and jump between two octahedral sites via an intermediate tetrahedral site with low migration energy. The binding energies of an interstitial He atom and an isolated vacancy to a He_nV_m cluster are also obtained from the calculated formation energies of the clusters. We find that the di- and tri-vacancy clusters are not stable, but He atoms can increase the stability of vacancy clusters.     

Tight-binding study of structural and electronic properties of silver clusters

Tight-binding model is developed to study the structural and electronic properties of silver clusters. The ground state structures of Ag clusters up to 21 atoms are optimized by molecular dynamics-based genetic algorithm. The results on small Ag_n clusters (n = 3-9) are comparable to ab initio calculations. The size dependence of electronic properties such as density of states, s-d band separation, HOMO-LUMO gap, and ionization potentials are discussed. Magic number behavior at Ag₂, Ag₈, Ag₁₄, Ag₁₈, Ag₂₀ is obtained, in agreement with the prediction of electronic ellipsoid shell model. We suggest that both the electronic and geometrical effect play significant role in the coinage metal clusters. Received 7 August 2000     

Novel structure and electronic property of Sin (21n30) clusters

Using first-principles simulated annealing generalized gradient approximation density functional calculations based on norm-conserving pseudopotentials, we have investigated the geometric and electronic structures of low-energy silicon clusters (Si_n, n=21–30). We have obtained new low-energy structures not reported previously. Our calculations suggest that the lowest energy structures are spherical ones including core atoms whose number increases with the cluster size. The trend of the binding energy as well as that of the energy difference between the highest occupied and the lowest unoccupied molecular orbitals is studied as a function of the cluster size and the number of core atoms.     

A Theoretical Study of <Superscript>51</Superscript>V Electric Field Gradient Tensors in Pyrovanadates and Metavanadates

A computational study of the ⁵¹V electric field gradient (EFG) tensors in pyrovanadates, α-Zn₂V₂O₇, Cd₂V₂O₇, β-Mg₂V₂O₇ and BaCaV₂O₇, and the metavanadates, LiVO₃, α-NaVO₃, KVO₃, ZnV₂O₆ and MgV₂O₆, is presented. Restricted Hartree–Fock and hybrid density functional theory calculations have been used to investigate the effects of the size of vanadium-oxygen clusters, basis set size, proton-termination and embedded cluster techniques on the accuracy of the calculated EFG tensors. Good agreement between theory and experiment is obtained for most of the vanadates. A sound methodology is suggested for calculating the EFG tensor in pyrovanadates which contain isolated V₂O₇ ⁴⁻ clusters. For metavanadates, the charges of the bridging oxygen atoms can be differentiated from those of terminal oxygen atoms by terminating the former with hydrogen atoms, and embedded cluster molecular orbital calculations are useful in accounting for the long-range electrostatic interactions which influence the EFG tensor components. EFG tensor orientations vary for different pyrovanadate structural types, and individual components are confined by symmetry elements in the metavanadates. A preliminary comparison is made between ⁵¹V EFG tensors calculated with ab initio and plane wave methods. Theoretical EFG tensor components and orientations, in combination with experimental ⁵¹V solid-state nuclear magnetic resonance data, are demonstrated to be useful tools for prediction of molecular structure. Authors' address: Robert W. Schurko, Department of Chemistry and Biochemistry, University of Windsor, Windsor, Ontario N9B 3P4, Canada     

高压下BeP2N4结构相变和电子结构的第一性原理计算

 基于密度泛函理论的第一性原理方法,计算了硅铍石型和尖晶石型结构BeP₂N₄的总能量随体积的变化关系。利用Brich-Murnaghan状态方程,通过能量和体积拟合,得到了2种结构的体变模量及其对压强的一阶导数。在压力作用下,BeP₂N₄的相变是从硅铍石型结构（空间群R-3,No.148）转变到尖晶石型结构（空间群Fd-3m,No.227）,计算出的相变点与其它理论值符合得非常好。同时计算了BeP₂N₄的相对晶格常数a/a₀和相对体积V/V₀的压缩率,在低压下发现,尖晶石结构BeP₂N₄的压缩率接近金刚石,进一步计算了不同压力下的体弹模量B_H、剪切模量G_H、B_H/G_H和杨氏模量E。此外,对两种结构的BeP₂N₄的电子态密度和带隙随压强的变化关系进行了计算和分析。结果表明：在压力作用下,上价带顶向费米能级移动,并有一定的展宽。Be—N、P—N键缩短,电子转移增加,导致电荷发生重新分布。     

The high-pressure structural transition in MnS: an ab initio study

The structural phase transition between B1 (α-MnS) and B3 (β-MnS) is investigated using a density functional theory method. The structural phase transition pressure Pt from α-MnS to β-MnS, which is determined on the basis of the third-order Birch–Murnaghan equation of states, is 30.75?GPa. Also, the lattice parameters a, the bulk modulus B and pressure derivative of bulk modulus B′, which are generally in good agreement with experiments and other theoretical values, are obtained under zero pressure. For further investigation of the structural phase transition pressure of MnS, the relative volumes V/V ₀, the bulk modulus B, first and second pressure derivatives (B′ and B″) of bulk modulus for the two structures of MnS have been calculated under various pressures.     

Solid-liquid phase transition in small water clusters: a molecular dynamics simulation study

Water clusters, (H₂O) _n , of varying sizes (n = 8, 12, 16, 20, 24, 28, 32, 36, and 40) have been studied at different temperatures from 0 to 200 K using molecular dynamics simulations. Transitions between solid and liquid phases were investigated to estimate the melting temperature of the clusters. Although the melting temperatures showed non-monotonic behaviour as a function of cluster size, their general tendency follows the classical relationship T _m ∝ n ^?1/3 to the cluster size n. Moreover, it was observed that the liquid-solid surface tension decreased with the cluster size in a similar way to the liquid-vapour surface tension in bulk water. Upon cooling, ice-like crystals were formed from the smaller clusters with n up to 20, while the larger clusters were transformed to glassy structures. The decrease in the glass transition temperature with the cluster size was observed to be much less than the corresponding melting temperature. The mutual order of the melting and glass-transition temperatures were found to be reversed compared with that observed for bulk water.     

Magnetic properties of stable structures of small binary clusters

We have studied the optimum geometries and the magnetic behavior of small binary Fe_nGe_m (n+m≤4) clusters usingab initio spin-polarized density functional calculations. Our results reveal that the optimized clusters present high values in the HOMO–LUMO gap and generally prefer structures with high geometries, the local magnetic moments at Fe atoms present an enhancement with respect to Fe bulk magnetization, whereas the Ge atoms present local magnetic moments whose modulus take significative values. The magnetic coupling between Fe and Ge atoms is mainly antiferromagnetic-like. All the clusters studied here present a charge transference from Fe atoms to Ge atoms.