外电场对N@C60, P@C60, As@C60分子结构和性质的影响

用量子力学方法研究了N@C60, P@C60, As@C60分子的几何和电子特征. 计算结果表明, 形成富勒烯包合物后, 碳笼只有微小的变形, 3种内包原子在笼中处于不同的位置, 碳笼与内包原子之间有明显的电荷转移和自旋轨道相互作用, 生成能分别为6.32, 70.88, -53.05 kJ/mol. 内包原子的3个单占据分子轨道(SOMO)能量变化很大, 并由于和碳笼作用而发生劈裂. 在外电场作用下, 分子的电子密度沿电场方向发生转移.分子的能量随外加电场的增强而降低. 分子轨道能级、能隙及SOMO轨道的能量和能级劈裂也发生了变化.     

Nb@C_(36)结构和性能的密度泛函研究

用密度泛函方法,采用GGA/PW91方法对具有D6h对称性的C36及其衍生物Nb@C36进行结构优化和性能计算,探讨Nb@C36稳定构型;存在的可能性及稳定性;以及Nb掺杂对C36结构及性能的影响.结果表明,Nb位于C36主轴上偏离中心0.1 nm时,Nb@C36能量最低,结构最稳定;Nb掺杂引起笼的局部畸变,但Nb@C36仍保持完整笼型结构.Nb@C36稳定性较C36有所提高,具有存在的可能性.Nb原子嵌入C36使其禁带宽度略有减小,导电性及化学反应活性有所提高;费米能级下降,但仍处于禁带之间,二者均属半导体性质的材料.C36结构及性能的变化与Nb所处的位置及Nb与C36笼之间的电子迁移有关.     

平面五配位硅、 锗XBe5H6(X=Si,Ge)团簇

采用密度泛函理论PBE0方法, 在aug-cc-pVTZ水平上理论预测了含平面五配位硅和锗原子的XBe₅H₆ (X=Si, Ge)团簇. 势能面系统搜索及高精度量化计算表明, 它们均为全局极小结构. XBe₅H₆(X=Si, Ge)团簇整体呈完美的扇形结构: Si/Ge原子被5个金属Be原子配位; 4个H原子以桥基方式与Be原子相键连, 剩余的2个 H原子以端基方式与两端的Be原子成键. 化学键分析表明, XBe₅H₆(X=Si, Ge) 团簇中XBe₅单元具有完全离域的1个π及3个σ键, 外围铍氢间形成4个Be—H—Be 三中心二电子(3c-2e)键及2个定域的Be—H键. XBe₅单元上离域的2π及6σ电子赋予体系π和σ双重芳香性, 并使Si/Ge原子满足八隅律（或八电子规则）. 能量分解-化学价自然轨道分析揭示, Si/Ge和Be₅H₆之间主要为电子共享键.     

内嵌金属碳氮化物团簇富勒烯的稳定性与生成机理

对新结构富勒烯金属包合物的探索是富勒烯领域中的研究重点。本文从内嵌团簇与富勒烯碳笼尺寸匹配的角度出发,对基于金属碳氮化物团簇的新结构富勒烯金属包合物进行了研究。通过量子化学计算研究了M_3NC团簇(M=Y,La,Gd)内嵌在D_2(186)-C_(96)和D_2(35)-C_(88)分子中所形成包合物的稳定性和电子结构,发现富勒烯碳笼接受内嵌团簇转移的六个电子形成了稳定结构。结合文献已报道过的Sc_3NC@I_h(7)-C_(80)分子,阐明了M_3NC团簇与富勒烯碳笼之间的尺寸匹配效应,并发现D_2(186)-C_(96)、D_2(35)-C_(88)和I_h(7)-C_(80)三种富勒烯碳笼均具有五元环均匀分布的结构特点。我们对富勒烯之间的转变路径进行了研究,提出了不含Stone-Wales异构化过程的富勒烯直接生成机理,即可以通过增加碳原子的过程使五元环重排,在保持稳定性结构单元的同时转变为更大碳笼。     

铍的夹心和半夹心化合物中铍原子的共价

用DV-XαSCC方法和自然键轨道法研究了CpBeH和Cp2Be的电子结构和成键情况,进而根据作者之一提出的共价定义研究了CpBeX(X=H, Cl, Br, CH3, C≡CH, ...)和Cp2Be等化合物中铍原子的共价。结果表明, 在这些化合物中, 铍原子的共价均为6。     

铍的夹心和半夹心化合物中铍原子的共价

用DV-XαSCC方法和自然键轨道法研究了CpBeH和Cp_2Be的电子结构和成键情况,进而根据作者之一提出的共价定义研究了CpBeX(X=H,Cl,Br,CH_3,C≡CH,……)和Cp_2Be等化合物中铍原子的共价.结果表明,在这些化合物中,铍原子的共价均为6.     

Ge@C82结构及性质的理论研究

采用密度泛函理论方法,对Ge@C82的结构及性质进行计算研究.结果表明,由于包合Ge,C82碳笼平均键长增长,碳笼增大,而且Ge原子略微偏离碳笼中心.三重态的C2Ge@C82为能量最低结构.自然布居分析表明,C2C82与Ge之间未发生电子转移,可以用C2Ge@C82来表示它的结构.C2C82和C2Ge@C82的红外光谱计算结果显示,二者的主要区别为C2Ge@C82在1100～1200 cm-1区间的吸收峰变得更尖锐.     

平面型四核铜簇合物Cu4(CH2XMen)4桥键性质的密度泛函研究

采用密度泛函B3LYP方法，用LanL2DZ和6—31G^＊基组分别优化了平面型四核铜簇合物Cu4（CH2SiMe3）4和Cu4（CH2XMe2）4（X=P，As）的几何构型，并对B3LYP／LanL2DZ方法优化的结构进行了红外振动频率计算和自然键轨道分析．结果表明，簇合物均呈笼状结构，Cu—C—Cu三中心桥键之间电子的离域增强了Cu簇合物的稳定性，配位C原子的C—H平伏键与C—Cu配位键之间存在σ-超共轭效应．     

碳管笼烯的稳定性问题

碳笼烯C_(60)及C_(70)等的发现启示人们去探索合成更多的新型封闭型碳烯化合物,可以设想,由六元碳环构成的石墨层平面可以卷成顶和底为p元环、侧面为紧接着顶底的p个五元环、中间k层p个六元环围成的碳管笼烯C_n(n=2p(k+2)),其结构见图1。笼烯的每个C原子都与3个相邻的C原子成键,并有一个与笼面垂直的单电子占据轨道,可以相互作用构成笼面共轭大π键。我们在     

为什么N_2分子和C_2H_2分子里的三键活动性截然两样?

N_2分子的电子结构可简单地写为:N≡N:即两个 N 原子之间有一个σ键,二个π键。同时,每个 N原子还有一对“孤对电子”。乙炔分子的电子结构可简单地写为:H—C≡C—H即两个 C 原子之间有一个σ键,二个π键。另外,每个 C 原子与一个 H 原子间有一个σ键。对比 N_2分子与 C_2H_2的电子结构,可以看出在 N_2     

Structural and electronic properties of S-doped fullerene C58: where is the S atom situated?

Structural and electronic properties of S-doped fullerene C58 were calculated systematically via Hartree-Fock self-consistent field (SCF) and density functional B3LYP levels of theory with 6-31G(d) basis set. The most stable C58S represents an open cage structure with a nine-member ring orifice, which provides a large hole for large atoms or small molecules to pass through into the cage. The most stable endohedral S@C58 has the S atom seated near the center of the C58 cage. The calculated highest occupied molecular orbital-lowest unoccupied molecular orbital energy gaps of the isomers lie in the range of 1.42-2.50 eV. The electron affinity and the ionization potential were also presented as an indicator of the kinetic stability. Our results may aid in the design of experimental methods for controlling the nature of fullerene cages (for example, doping, opening, and reclosing them).     

Quantum states of the endohedral fullerene Li@C60

We present a theoretical study of the eigenstates of the endohedral fullerene Li@C60 for the case that the C 60 cage is assumed to be stationary. These eigenstates represent the three-dimensional nuclear dynamics of a Li atom confined to the interior of the carbon cage. The potential function employed, based on density functional theory calculations that we performed, has a variety of minima corresponding to complex hindered rotations of the Li atom in a shell about 1.5 A from the cage center. The energies and wave functions of the lowest 1200 states have been calculated, and the characteristic features of selected states and the far-IR spectrum are discussed. An interesting result of the calculations is the finding that the ground-state eigenfunction can become strongly localized when the cage atoms are just slightly perturbed from icosahedral symmetry.     

Molecular orbital calculations of beryllium insertion in Cn fullerene cages: Be@Cn (n = 20, 60, 70, 80) by nuclear recoil after particle capture

Summary The molecular structure and some properties of Be @C_n (n = 20, 60, 70, 80) endohedral metallofullerenes were analyzed using the HyperChem 7.0. Computational Chemistry Model Building Program. The results were in agreement with previous calculations using the ab initio method based on an all-electron mixed-basis approach within the framework of the local-density approximation. In the case of ⁷Be, the ion is inside the fullerene cage and tries to make an electronic connection with a six-membered ring of the fullerene cage in order to improve its atomic orbital distribution in the valence layer. Due to the ion radius value of only 0.45 ? and electronic capture decay, ⁷Be appears to emerge as an ideal tool for studying radionuclide half-life variation in different hosts.     

Dynamic charge fluctuation of endohedral fullerene with coencapsulated Be atom and H2

As one of the typical examples of characteristic reaction field generated in inclusion (enclosure) compounds, the dynamics of an endohedral metallofullerene, (Be+nH2)@C60(n=1,2), is studied with Be atom serving as a test probe. A very large dynamical and thermal fluctuation of electronic state of Be has been found, which is surprising since the highest occupied molecular orbital-lowest unoccupied molecular orbital gap of Be is so wide that such a large fluctuation in a low temperature is never expected. This finding demonstrates one of the special features of endohedral reaction field offered by the fullerene. The physical origin of this phenomenon is analyzed.     

Structures and relative stability of medium- and large-sized silicon clusters. VI. Fullerene cage motifs for low-lying clusters Si(39), Si(40), Si(50), Si(60), Si(70), and Si(80)

We performed a constrained search, combined with density-functional theory optimization, of low-energy geometric structures of silicon clusters Si(39), Si(40), Si(50), Si(60), Si(70), and Si(80). We used fullerene cages as structural motifs to construct initial configurations of endohedral fullerene structures. For Si(39), we examined six endohedral fullerene structures using all six homolog C(34) fullerene isomers as cage motifs. We found that the Si(39) constructed based on the C(34)(C(s):2) cage motif results in a new leading candidate for the lowest-energy structure whose energy is appreciably lower than that of the previously reported leading candidate obtained based on unbiased searches (combined with tight-binding optimization). The C(34)(C(s):2) cage motif also leads to a new candidate for the lowest-energy structure of Si(40) whose energy is notably lower than that of the previously reported leading candidate with outer cage homolog to the C(34)(C(1):1). Low-lying structures of larger silicon clusters Si(50) and Si(60) are also obtained on the basis of preconstructed endohedral fullerene structures. For Si(50), Si(60), and Si(80), the obtained low-energy structures are all notably lower in energy than the lowest-energy silicon structures obtained based on an unbiased search with the empirical Stillinger-Weber potential of silicon. Additionally, we found that the binding energy per atom (or cohesive energy) increases typically >10 meV with addition of every ten Si atoms. This result may be used as an empirical criterion (or the minimal requirement) to identify low-lying silicon clusters with size larger than Si(50).     

Energetics and Electronic Properties of a Neutral Diuranium Molecule Encapsulated in C90 Fullerene

Scientists have found that the size of the cavity of endohedral metallofullerenes (EMFs) can influence the properties of the inner molecule. In this work, the neutral diuranium molecule was encapsulated into the C90 fullerene. The neutral U-U dissociation potential energy surfaces of different electronic states confined in the C90 fullerene were scanned and the quintuple and the septuplet of these states were found to be low-lying. In the fullerene cage, the U2 molecule easily disintegrates along the axis of the fullerene, and then is chemically adsorbed on the both ends of the fullerene. The charge distribution and the molecular orbit properties of the complex were also uncovered.     

Superconductivity of doped Ar@C60

The synthesis of a mg amount of pure argon containing fullerene allowed the synthesis of the first endohedral superconductors with critical temperatures lower than expected, an indication of the strong influence of the argon atom on the C60 cage.     

On the viability of small endohedral hydrocarbon cage complexes: X@C4H4, X@C8H8, X@C8H14, X@C10H16, X@C12H12, AND X@C16H16

Small hydrocarbon complexes (X@cage) incorporating cage-centered endohedral atoms and ions (X = H(+), H, He, Ne, Ar, Li(0,+), Be(0,+,2+), Na(0,+), Mg(0,+,2+)) have been studied at the B3LYP/6-31G(d) hybrid HF/DFT level of theory. No tetrahedrane (C(4)H(4), T(d)()) endohedral complexes are minima, not even with the very small hydrogen atom or beryllium dication. Cubane (C(8)H(8), O(h)()) and bicyclo[2.2.2]octane (C(8)H(14), D(3)(h)()) minima are limited to encapsulating species smaller than Ne and Na(+). Despite its intermediate size, adamantane (C(10)H(16), T(d)()) can enclose a wide variety of endohedral atoms and ions including H, He, Ne, Li(0,+), Be(0,+,2+), Na(0,+), and Mg(2+). In contrast, the truncated tetrahedrane (C(12)H(12), T(d)()) encapsulates fewer species, while the D(4)(d)() symmetric C(16)H(16) hydrocarbon cage (see Table of Contents graphic) encapsulates all but the larger Be, Mg, and Mg(+) species. The host cages have more compact geometries when metal atoms, rather than cations, are inside. This is due to electron donation from the endohedral metals into C-C bonding and C-H antibonding cage molecular orbitals. The relative stabilities of endohedral minima are evaluated by comparing their energies (E(endo)) to the sum of their isolated components (E(inc) = E(endo) - E(cage) - E(x)) and to their exohedral isomer energies (E(isom) = E(endo) - E(exo)). Although exohedral binding is preferred to endohedral encapsulation without exception (i.e., E(isom) is always exothermic), Be(2+)@C(10)H(16) (T(d)(); -235.5 kcal/mol), Li(+)@C(12)H(12) (T(d)(); 50.2 kcal/mol), Be(2+)@C(12)H(12) (T(d)(); -181.2 kcal/mol), Mg(2+)@C(12)H(12) (T(d)(); -45.0 kcal/mol), Li(+)@C(16)H(16) (D(4)(d)(); 13.3 kcal/mol), Be(+)@C(16)H(16) (C(4)(v)(); 31.8 kcal/mol), Be(2+)@C(16)H(16) (D(4)(d)(); -239.2 kcal/mol), and Mg(2+)@C(16)H(16) (D(4)(d)(); -37.7 kcal/mol) are relatively stable as compared to experimentally known He@C(20)H(20) (I(h)()), which has an E(inc) = 37.9 kcal/mol and E(isom) = -35.4 kcal/mol. Overall, endohedral cage complexes with low parent cage strain energies, large cage internal cavity volumes, and a small, highly charged guest species are the most viable synthetic targets.     

Endohedral metallofullerenes: a unique host-guest association

In this tutorial review taking X-ray crystallographically characterized compounds as a starting point a walk is taken through the electronic and structural properties of endohedral metallofullerenes. After classification of the fullerenes according to the encapsulated guest, particular attention is given to identifying factors that determine the selection of a particular carbon cage network by the internal metal cluster. Some of the physical rules that determine which particular fullerene cage is formed will be discussed. Concepts such as charge transfer between the cage and the guest metal ions, the topology of the cage, the separations between the 12 pentagons on the fullerene surface, and the effect of entropic factors are used to rationalize the selection of a particular cage. The roles of electrochemistry and vibrational spectroscopy in combination with theoretical calculations are considered in understanding the structures of the endohedral fullerenes.     

Theoretical Studies on Structures and Properties of Endohedral Fullerenes Complexes： XHn@C32（X=F,O, N,C; n=l-4）

Theoretical studies on structures and properties of endohedral fullerene complexes formed by encapsulating small molecules of HF, H20, NH3, and CH4 in a C32 fullerene cage, were carried out by ab initio method. Current calculations reveal that these processes to encase them in fullerene are energetically unfavorable because of the small cavity size of C32. The red shift in the F-H stretching frequency indicates the potential existence of hydrogen bonding between the HF molecule and the carbon cage.