晶态Ca3C60与Ca5C60的能带结构研究

用三维EHMO晶体轨道程序分别对Ca3C60，Ca5C60进行了能带结构的计算．计算结果表明，Ca3C60没有导电性，能隙约为0．9eV；而在Ca5C60的能带结构中，费米面刚好穿过半满带，表明Ca5C60是导体；同时在费米面附近有较大的态密度值，表明Ca5C60与K3C60等类似，具有较高的超导转变温度．电荷分析表明，在这两种情况下，钙原子的4s电子基本上全转移到C60上，C60分子可形成一个稳定的带6到10个电子的负离子．     

C~60的单原子碱金属化合物几何结构规律的量子化学研究

采用原子叠加和电子离域分子轨道处理(ASEO-MO)对碱金属原子在C~60分子内外所形成的MC~60进行了较详细的考察, 讨论了它们的几何结构规律和电子结构等性质。在MC~60(M=Li, Na, K, Rb, Cs)中Li原子的平衡位置将偏离C~60分子的中心, 而Na和K的平衡位置是在C~60分子的中心, 但Rb和Cs原子则在C~60分子外部将比在其内部稳定。由金属原子半径和C~60球半径的讨论, 从而预见哪些原子可以在C~60分子内部附加形成稳定的化合物。     

PbTiO3纳米晶电子结构及铁电性理论研究

采用密度泛函方法,以镶嵌势能的团簇模型对PbTiO₃纳米晶电子结构进行了量子化学计算研究,得到簇模型中键长、键级及净电荷之间的变化规律.布居分析和态密度计算结果表明,O原子的2p轨道、Ti原子的3d轨道、Pb原子的6s轨道和6p轨道之间的相互作用是四方相PbTiO₃纳米晶体出现铁电性的重要原因,并计算得到不同晶粒PbTiO₃纳米晶的偶极矩和自发极化强度.     

Mo~2S~4(i-mnt)~2(Et~4N)~2和(Et~4N)~3K[Mo~2S~4(i-mnt)~2]~2 [i-mnt=S~2C (CN)^2^-]阴离子的能带结构研究

二核钼簇合物Mo~2S~4(i-mnt)~2(Et~4N)~2和(Et~4N)~3K[Mo~2S~4(i-mnt)~2]~2[i-mnt=S~2C(CN)^2^-]的阴离子在晶体中构成独特的链状结构,本文采用扩展的Huckel近似下的紧束缚能带方法,计算了它们的能带结构。结果表明,相邻簇阴离子间存在弱的相互作用,它是形成链状结构的基础。链状结构与晶体的半导体性质相关联。态密度和晶体轨道重叠布居反映了晶体中电荷分布状况及化学成键特点,与晶体结构分析、NMR谱学表征结果相符合。     

晶态C60,K3C60,K6C60的能带计算

本文用紧束缚法的ＥＨＭＯ三维晶体轨道程序进行计算求得了Ｃ６０，Ｋ３Ｃ６０和Ｋ６Ｃ６０的能带结构，并得到了一系列过去未曾见过报导的原子投影态密度、轨道、原子重叠布据、原子电荷、轨道矢量等数据。从这些能带图中可以充分说明三种物质的区别，并可解释Ｋ３Ｃ６０的超导性和Ｃ６０与Ｋ６Ｃ６０的绝缘性。     

三方硒电子结构的EH研究

计算了三螺旋硒链的一维能带, 三方硒的三维能带和Se_6簇的能级。能带分为三组: Se-Se成键带, 孤对电子带和Se-Se反键带。符合Se-Se, 成键的价电子层结构。同时对电子态进行了空间群的对称性分类。为了更广泛的将固体的计算结果与原子簇做比较, 定义了簇轨道重叠布居, 它是原子簇计算态密度的轨道重叠布居权重值。计算表明, Se_6簇(D_(3d))的态密度和簇轨道重叠布居分别与三方硒的态密度和晶体轨道重叠布居颇为类似, 说明两者成键本质的类似性。带隙和态密度与相应的实验数据作了比较。     

类金刚石薄膜sp~2-sp~3轨道杂化的第一性原理研究

以强σ键连接的sp2和sp3杂化碳饱和簇模型,即金刚石和石墨两相和团簇模型为研究对象,通过分子结构、电荷分布、能带结构、电子态密度和分子轨道的第一性原理计算和分析,研究了类金刚石薄膜中sp2-sp3轨道杂化的空间结构稳定性的成键特性等.结果表明,成键过程中由于微扰作用破坏了原子内部"吸引"与"排斥"的平衡关系,使电子云重新分布,而键能大小和电子云的重叠密切相关,因而两相共存对电荷分布和结构均有影响.能带结构分析发现sp2杂化C原子将π键引入,产生π和π*能带使带隙变窄,说明类金刚石薄膜的半导体本质.电子态密度计算结果中费米能级附近出现杂质峰,说明存在中间杂化和/或π态和σ态的转化.     

黄铜矿型铜基硫属半导体材料的电子结构和光学性质

采用基于赝势平面波基组的密度泛函理论方法, 对具有黄铜矿结构的6种CuXY₂(X=Ga, In; Y=S, Se, Te)晶体的构型、 电子结构、 线性及二阶非线性光学性质进行了研究. 结果表明, 6种CuXY₂均为直接带隙半导体, 具有相似的能带结构. 当X原子相同时, 随着Y原子按S→Se→Te依次改变时, 体系的静态介电常数、 静态折射率和静态倍频系数(d₃₆)依次递增. 在占据带中, 位于价带顶附近的能带对体系倍频效应影响最为显著, 该系列化合物的能带主要成分为Cu的3d轨道和Y原子价层p轨道; 对于空能带, 对倍频系数影响较大的是以X原子价层p轨道为主要成分的能带. 6种晶体中, CuInSe₂晶体具有较高的光电导率并对太阳光具有较好的吸收性能. 综合考虑体系的双折射率和倍频效应等因素, CuGaS₂和CuGaSe₂ 2种晶体在二阶非线性光学领域具有潜在的应用价值.     

Na-噻吩荷移配合物弱相互作用的理论研究

利用 B3LYP法在 6-31 1 +G* 水平上研究了 Na-噻吩体系可能存在的 3种 Na-噻吩复合物 A,B和 C分子结构 .结果表明 :Na-噻吩体系存在 2个能量极小结构 A和 C;结构 B未得到证实 .结构 A中 ,Na的 3s1电子直接和噻吩杂环的所有重原子进行弱相互作用形成一个具有 Cs对称性的金属有机复合物 ;结构 C中 ,Na原子的 3s1电子主要通过和与 S原子不直接相连的 C2和 C3进行弱相互作用 ,因而在原有的大 π键基础上形成一个新的大 π键 ,其结构为 C2 v对称性 .结构 A较结构 C稳定 78.0 k J/ mol.结构 A中的 Na—S之间的距离为 0 .4 0 7nm,键角∠ CSC为 91°,金属 Na和噻吩之间的弱相互作用使整个噻吩分子平面稍微变形 ,S原子向 Na所在的一侧稍微偏离 C环平面 .结构 C中 Na-S之间的距离为 0 .82 5 nm,∠ CSC为 91°,金属 Na原子和杂环中所有的原子在同一个平面内 .在 B3LYP、 MP2、 MP3和 MP4水平上 ,分别用 6-31 1 +G* 和 6-31 1 ++G* * 基组精确计算了最稳定结构 A的结合能 ΔE为 8.3～ 1 0 .9k J/ mo     

EuB6的能带结构与成键及其光学常数的计算

采用密度泛函方法研究了EuB6的电子结构, 得到高精度能带结构和态密度分布信息; 分析成键情况, 从原子间轨道相互作用的角度说明EuB6能带结构的特征及其半金属性质. 计算出EuB6的介电函数、反射率、光电导率和能量损失函数谱等, 与实验结果一致, 表明了能带计算获得的电子结构信息的可靠性.     

Superexchange and electron correlations in alkali fullerides AC60, A=K, Rb, Cs

Superexchange interactions in alkali fullerides AC(60) are derived for C(60) molecular ions separated by interstitial alkali-metal ions. We use a multiconfiguration approach which comprises the lowest molecular orbital states of the C(60) molecule and the excited s and d states of the alkali-metal atom A. Interactions are described by the valence bond (Heitler-London) method for a complex (C(60)-A-C(60))(-) with two valence electrons. The electronic charge transfer between the alkali-metal atom and a neighboring C(60) molecule is not complete. The occupation probability of excited d and s states of the alkali atom is not negligible. In correspondence with the relative positions of the C(60) molecules and A atoms in the polymer crystal, we consider 180 degrees and 90 degrees (angle) superexchange pathways. For the former case the ground state is found to be a spin singlet separated from a triplet at approximately 20 K. For T<20 K there appear strong spin correlations for the 180 degrees superexchange pathway. The results are related to spin lattice relaxation experiments on CsC(60) in the polymerized and in the quenched cubic phase.     

Ammoniated alkali fullerides (ND(3))(x)NaA(2)C(60): ammonia specific effects and superconductivity

The crystal structure of the superconducting (ND(3))(x)()NaA(2)C(60) (0.7 < or = x < or = 1, A= K, Rb) fullerides (T(c)= 6-15 K) has been studied by synchrotron X-ray and neutron powder diffraction. It is face-centered cubic (fcc) to low temperatures with Na(+)-ND(3) pairs residing in the octahedral interstices. These are disordered over the corners of two "interpenetrating" cubes with the Na(+) ions and the N atoms displaced by approximately 2.0 A and approximately 0.5 A from the center of the site and statically disordered over the corners of the inner and outer cube, respectively. Close contacts between the D atoms of the ND(3) molecules and electron rich 6:6 C-C bonds of neighboring C(60) units provide the signature of weak N-D.pi hydrogen-bonding interactions, which control the intermolecular packing in the crystal and may determine the unusual superconducting properties.     

冠醚配合物的热力学性质的研究 III. 碱金属离子与18C6甲基衍生物配位反应的电导研究

The coordination reaction of Na+, K+, Rb+ and Cs+ with benzo- 15-crown-5, 18-crown-6 and the newly synthesized cyclic polyethers 2, 3-benzo-8, 15-dimethyl-18-crown-6, 2, 3-benzo-8, 11, 15-trimethyl-18-crown-6 in methanol at 25`C has been studied by conductometric titration. The stability constants for the 1:1 coordination compounds were calculated. The marked selectivity of 18-crown-6 toward alkali metal ions was not found in its methyl derivatives. The induction effect of the benzene ring and methyl group on polyether ring reduced the stability of the coordination compounds. In methanol, the stability sequence of te compounds of alkali metal ions with 18-crown-6 was K+>Rb+>Cs+>Na+, that of its dimethyl derivative was K+>Rb+>Na+>Cs+ and that of its trimethyl derivative was K+>Na+>Rb+>Cs+, that is, the methyl substituent had a weaker influence on the stability of Na+ compound than on that of Rb+ or Cs+ compound. In the range of concentration studied, decrease in equivalent conductance is in agreement with the prediction on the basis of the structure of the complexes. The above results may give a clue for modifying the structure of a crown ether for specified selectivity.     

Theoretical realization of cluster-assembled hydrogen storage materials based on terminated carbon atomic chains

The capacity of carbon atomic chains with different terminations for hydrogen storage is studied using first-principles density functional theory calculations. Unlike the physisorption of H(2) on the H-terminated chain, we show that two Li (Na) atoms each capping one end of the odd- or even-numbered carbon chain can hold ten H(2) molecules with optimal binding energies for room temperature storage. The hybridization of the Li 2p states with the H(2)σ orbitals contributes to the H(2) adsorption. However, the binding mechanism of the H(2) molecules on Na arises only from the polarization interaction between the charged Na atom and the H(2). Interestingly, additional H(2) molecules can be bound to the carbon atoms at the chain ends due to the charge transfer between Li 2s2p (Na 3s) and C 2p states. More importantly, dimerization of these isolated metal-capped chains does not affect the hydrogen binding energy significantly. In addition, a single chain can be stabilized effectively by the C(60) fullerenes termination. With a hydrogen uptake of ～10 wt.% on Li-coated C(60)-C(n)-C(60) (n = 5, 8), the Li(12)C(60)-C(n)-Li(12)C(60) complex, keeping the number of adsorbed H(2) molecules per Li and stabilizing the dispersion of individual Li atoms, can serve as better building blocks of polymers than the (Li(12)C(60))(2) dimer. These findings suggest a new route to design cluster-assembled hydrogen storage materials based on terminated sp carbon chains.     

Electronic structures of KNa3In9 and Na2In, two metallic phases with classical closed-shell electronic configurations

The cluster compounds KNa3In9 [K2Na6(In12)(In)6] and Na2In [(Na)8(In4)], which contain In12 icosahedra interbridged by 4-bonded In atoms and isolated In4 tetrahedra, respectively, both have classical closed-shell electronic configurations but show metallic transport properties. These contrasts have been studied by means of first-principles density functional methods (LMTO-ASA). Several bands cross the Fermi level in both compounds, consistent with their metallic properties. In KNa3In9, the metal atom framework alone is sufficient to generate a metallic characteristic. The alkali-metal s and indium p orbitals mix considerably in both phases, providing for substantial covalent contributions to their stabilities as well as bands crossing Ef. The participation of Na atoms in the 3D bonding networks is more striking in cation-richer Na2In than in KNa3In9.     

Ti(Ⅳ)掺杂Bi_2O_3电子结构和可见光催化活性的原理

密度泛函理论(DFT)计算对掺杂体系新型环境光催化剂设计开发具有指导意义.基于DFT框架下的第一性原理平面波超软赝势方法(USPP),对α、β、γ、δ-Bi2O3晶体几何结构分别进行了优化计算,从理论上得到了Bi2O3的总体态密度(TDOS)和Bi、O原子的分波态密度(PDOS).在此基础上对Bi2O3超晶胞进行Ti(IV)的掺杂计算,讨论了Ti(IV)掺杂对各种Bi2O3的电子结构和光吸收特性的影响.结果表明Ti(IV)掺杂Bi2O3晶体后,Ti(IV)的3d轨道进入禁带并与O2p、Bi6p轨道作用,使禁带宽度(Eg)变小,Bi2O3的吸收边红移,从而有助于Bi2O3光催化活性的改善.通过水热合成法制备的Ti(IV)掺杂Bi2O3样品的紫外-可见光漫反射光谱验证了计算的结果.在光催化降解有机染料结晶紫的实验中,光催化剂活性的改善进一步得到证实.     

Lone-pair orbital interactions in polythiaadamantanes

The electronic structures of a series of polythiaadamantanes from thiaadamantane through 2,4,6,8,9,10-hexathiaadamantane (HTA) have been analyzed using density functional theory calculations in conjunction with Hückel and natural bond orbital analysis. The effects of multiple sulfur p-type lone-pair orbital interactions on ionization potentials, hole mobilities, and electronic coupling have been determined. An overall increase in the average energy of the lone-pair orbitals as the number of sulfur atoms increases is predicted, with the exact positioning of the HOMO depending on specific lone-pair interactions. Separation of through-bond (TB) and through-space (TS) interactions between intramolecular sulfur atoms has been performed using localized molecular orbitals and model systems based on interacting hydrogen sulfide molecules. TB interations were found to reduce orbital splitting, while TS interactions were found to increase orbital splitting. TS interactions were more or less constant from one polythiaadamantane to the next, and the contributions of TB effects to individual orbital energies vary depending on the relative orientation of sulfur atoms as determined by the sigma molecular framework. Electronic coupling between intermolecular sulfur lone-pair orbitals was determined by investigating unique dimer pairs observed in the crystal structure of HTA. Electronic coupling is not as strong as expected given the short intermolecular S-S distances observed in the crystal structure. In general, B3LYP/6-31G(d) and B3LYP/6-311+G(d,p) give very similar orbital energies and splittings.     

Valence electronic charge density of distorted C60- monomers in polymerized KC60 and RbC60

We investigate the valence electronic charge density of the C(60) (-) monomers in (C(60) (-))(n) polymer chains in K- and RbC(60) by means of a nonorthogonal tight-binding formalism using experimental data on the positions of the carbon atoms. Various configurations of the C(60) cages are considered. Starting from the ideal icosahedral C(60) structure and moving to the realistic, experimentally determined spatial configuration of the C(60) cages in K- and RbC(60), we observe a systematic increase of the electric quadrupole moments on the C(60) (-) monomers. We also confirm the validity of factorizing the charge density of a C(60) (-) monomer into an angular and a radial part.