C24团簇结构与稳定性的理论研究

采用量子化学HF, B3LYP和MP2方法,选用6-31G^*, 6-311G^*, cc-pVDZ和cc-pVTZ基组,对C₂₄团簇的6种异构体进行了优化,并对它们的几何构型、振动频率、核独立化学位移(NICS)和稳定性进行了讨论,比较C₂₄团簇各种异构体的稳定性.研究表明:在6-311G^*和cc-pVDZ水平上,B3LYP方法给出的稳定性大小顺序分别为c＞f＞b＞e＞a＞d和c＞b＞f＞a＞e＞d, MP2方法给出的稳定性大小顺序为b＞c＞a＞e＞f＞d.     

B24N24团簇的结构与稳定性

采用密度泛函理论,在B3LYP/6-31G^*水平下,对B₂₄N₂₄笼状团簇的12种异构体进行了优化,并对它们的几何构型、化学键性质、振动光谱和稳定性进行了探讨.研究表明:具有S₈对称的含有2个八元环、8个四元环和16个六元环的结构h是B₂₄N₂₄笼状团簇最稳定的异构体,只存在B-N键,而无N-N和B-B键.含有五元环结构的稳定性最低.B-B和N-N键对的数目越多,结构的稳定性越低.12种异构体的稳定性顺序为h＞a＞b＞I＞g＞l＞c＞k＞j＞d＞e＞f.     

(Mg3N2)n(n=1～4)团簇结构与性质的密度泛函研究

用密度泛函理论(DFT)的杂化密度泛函B3LYP方法在6-31G*基组水平上对(Mg3N2)n(n=1～4)团簇各种可能的构型进行几何结构优化,预测了各团簇的最稳定结构.并对最稳定结构的振动特性、成键特性、电荷特性和稳定性等进行了理论分析.结果表明:(Mg3N2)n=1～4团簇易形成笼状结构,其最稳定构型中N原子配位数以3、4较多见;团簇主要由Mg-N键组成,Mg-N键长为0.194～0.218nm,Mg-Mg 键长为0.262～0.298 nm;N原子的平均自然电荷为-2.06 e,Mg原子的平均自然电荷为 1.37 e;(Mg3N2)2团簇有相对较高的动力学稳定性.     

5d过渡金属原子中心镶嵌Ag团簇M@Ag12（M=Hf-Hg）／h和Oh构型的密度泛函理论研究

采用相对论密度泛函理论方法对Ih和Oh构型M@Ag12（M=Hf～Hg）的几何和电子结构进行了系统的研究．研究表明，原子半径之和与团簇的电子结构共同决定了M-Ag键长的大小．M@Ag12的成键能来自中心原子的嵌入能和Ag12笼子的形变能．最高占据轨道为成键轨道的团簇比反键轨道的团簇的稳定性强．我们发现在此系列中，Ih构型不一定总比Oh构型稳定．Hf@Ag12，Ir@Ag12，Au@Ag12和Hg@Ag12的Oh构型比Ih构型稳定．     

5d过渡金属原子中心镶嵌Ag团簇M@Ag12(M＝Hf～Hg) Ih和Oh构型的密度泛函理论研究

采用相对论密度泛函理论方法对Ih和Oh构型M@Ag12 (M＝Hf～Hg)的几何和电子结构进行了系统的研究. 研究表明, 原子半径之和与团簇的电子结构共同决定了M—Ag键长的大小. M@Ag12的成键能来自中心原子的嵌入能和Ag12笼子的形变能. 最高占据轨道为成键轨道的团簇比反键轨道的团簇的稳定性强. 我们发现在此系列中, Ih构型不一定总比Oh构型稳定. Hf@Ag12, Ir@Ag12, Au@Ag12和Hg@Ag12的Oh构型比Ih构型稳定.     

(XY)12(X=B,Al;Y=P)团簇的结构与稳定性

采用B3LYP／6031G*方法,对(XY)12(X=B,Al;Y=P)笼状团簇的同分异构体进行优化,筛选出能量最低的构型．讨论它们的几何构型、HOMO-LUMO能隙、生成焓、核独立化学位移(NICS)和自由能．得到(BP)12和(AlP)12团簇的最稳定构型均为具有Th对称性的四、六元环组成的笼,亚稳态结构中含有五元环。     

C12簇及其碳管烷C12H12的理论研究

C60和C70等碳笼烯的发现及其在新物质、新材料等研究领域中的重要性，激励人们去探索合成更多新型多面体碳簇化合物与碳元素类似物[1，2]．最近，两类新型多面体碳管笼烯的设想提出来了[3，4]应用HMO和MNDO方法对其稳定性变化规律、结构和成键特征进行了讨论.关于多苯的vanderWaals簇实验上已有广泛的调查[5，6]，理论上对其二聚物（C6H6）。的不同几何构型与稳定性进行了深入的研究[7]．本文采用abinitio计算有效势（effectivecorePotential）方法，对C12碳管元素簇和C12H12，碳管烷的平衡结构、稳定性和价键特征进行了理论预测．1…     

(XY)12 (X═B, Al; Y═P)团簇的结构与稳定性

采用B3LYP/6-31G*方法, 对(XY)₁₂ (X═B, Al; Y═P)笼状团簇的同分异构体进行优化, 筛选出能量最低的构型. 讨论它们的几何构型、HOMO-LUMO能隙、生成焓、核独立化学位移(NICS)和自由能. 得到(BP)₁₂和(AlP)₁₂团簇的最稳定构型均为具有T_h对称性的四、六元环组成的笼, 亚稳态结构中含有五元环.     

[Ca(NH2)2]n (n＝1～5)团簇的密度泛函理论研究

用密度泛函理论(DFT)的杂化密度泛函B3LYP方法在6-31G*基组水平上对[Ca(NH2)2]n (n＝1～5)团簇各种可能的构型进行几何结构优化, 预测了各团簇的最稳定结构. 并对最稳定结构的振动特性、成键特性、电荷特性等进行了理论研究. 结果表明: 团簇易形成环状结构, 以金属Ca原子团簇作为骨架, NH2基结合在金属团簇骨架上, 并主要是Ca—N成键和Ca—Ca成键. 团簇中Ca—N键长为0.225～0.257 nm, Ca—Ca键长为0.312～0.354 nm, N—H键长为0.102～0.103 nm, H—N—H键角为102.9°～104.2°; 团簇中Ca原子的自然电荷在1.657e～1.720e之间, N原子的自然电荷在－1.543e～－1.592e之间, H原子的自然电荷在0.349e～0.367e之间, Ca原子和NH2基之间相互作用呈现较强的离子性;对比团簇和晶体的结构及IR谱表明, NH2基在团簇和晶体中的结构基本一致.     

B2Be2簇的结构与成键性质的研究

用HF／6-31Gabinitio法对B2Be2簇9种异构体27个电子态的结构进行了全构型优化,再用大基组二次组态相互作用QCISD（T）／6-311G方法进行单点计算，9种异构体的稳定性顺序是：h＞i＞g＞e＞f＞c＞a＞d＞b.通过结构转变中的Walsh图、能量间隙、键数参数（BNP）和键电荷的研究，揭示了B2Be2的成键特征.     

富勒烯C_(36)等电子体C_(34)BN异构体的结构及其相对稳定性理论研究

用半经验的AM1和MNDO方法优化了富勒烯C_(36)的等电子体C_(34)BN所有可能 异构体的构型,分析了各异构体相对稳定性与杂原子取代位置间的关系。另外,比 较了C_(36)碳笼上同位置地取代杂原子形成的C_34BN,C_(34)B_2和C_(34)N_2间的 电子结构,并分析了C_(34)BN最稳定异构体的振动模型。结果表明以C_(36):A (D_(6h))为母体形成的最稳定C_(34)BN异构体对应于碳笼赤道位置六元环中1,4- 取代产物,而以C_(36):B(D_(2d))为母体形成的最稳定C_(34)BN异构体对应于碳笼 近赤道位置的1,2-取代产物.C_(34)BN各异构体的稳定性可能主要由体系的共轭性 质决定。前线轨道能级表明B,N原子取代所得异构体的氧化-还原活性按以下顺序 递增：C_(34)B_2相似文献   

14顶点闭合型碳硼烷异构体的结构和稳定性的密度泛函理论研究

采用密度泛函理论(DFT) B3LYP/6-31G(d)方法对14顶点闭合型碳硼烷异构体的几何结构进行优化, 分析了它们的稳定性、电荷分布以及前线分子轨道能级. 结果表明, C₂B₁₂H₁₄碳硼烷的9个异构体都有对应的稳定构型, 并基本保持了B₁₄H₁₄^2－的骨架构型; 除两个C原子取代轴顶点位置B原子的1,14-C₂B₁₂H₁₄外, 其稳定性均随着两个C原子之间距离的增大而增加, 但C原子取代高配位数的B原子不利于其构型的稳定性. 各异构体的负电荷主要分布在C原子上, 同时处于轴向位置的B原子也有部分负电荷, 它们可能成为反应的亲核活性中心. 异构体的HOMO能级的高低与其稳定性相对应, HOMO能级低的异构体稳定性好.     

氮笼N12的量子化学研究

采用量子化学从头算方法研究了7个氮笼N₁₂,其中包括以前文献中研究过的两个氮笼N₁₂.在RHF/6-31G^*理论水平下进行全构型优化、振动频率分析和热化学计算.计算结果表明,7个结构均是势能面上的局域极小点.N₁₂(D_3d)是所有7个笼状异构体中最稳定的.能量分析表明,如果这些分子能够被合成,将会成为潜在的高能量密度材料.     

DFT Study on Two C4N12O4 Isomers with Pagodane- and Isopagodane-like Structures

1 INTRODUCTION Pagodane (Fig. 1) first synthesized[1] in 1983 has been studied by Prinzbach and coworkers for more than twenty years[2, 3]. Described as a waxy solid melting without decomposition and stable to at least 600 ℃ in gas phase, pagodane is interesting for its exotic structure and as an introduction to the family of substituted dodecahedranes[2]. Owing to its unu- sual structure, pagodane has provided experimenters and theorists with a challenge to characterize and cal- culate …     

DFT Studies on Thermal Stabilities,Electronic Structures,and ~（13）C Chemical Shifts of C_（24）O_2 Based on Fullerene C_（24）（D_6）

Quantum chemical calculations on some possible equilibrium geometries of C24O2 isomers derived from C24 (D6) and C24O have been performed using density functional theory (DFT) method. The geometric and electronic structures as well as the relative energies and thermal stabilities of various C24O2 isomers at the ground state have been calculated at the B3LYP/6-31G(d) level of theory. And the 1,4,2,5-C24O2 isomer was found to be the most stable geometry where two oxygen atoms were added to the longest carbon-carbon bonds in the same pentagon from a thermodynamic point of view. Based on the optimized neutral geometries, the vertical ionization potential and vertical electron affinity have been obtained. Meanwhile, the vibrational frequencies, IR spectrum, and 13C chemical shifts of various C24O2 isomers have been calculated and analyzed.     

Ab initio calculation of carbon clusters. II. Relative stabilities of fullerene and nonfullerene C24

Chemical stabilities of six low-energy isomers of C24 derived from global-minimum search are investigated. The six isomers include one classical fullerene (isomer 1) whose cage is composed of only five- and six-membered rings (56-MRs), three nonclassical fullerene structures whose cages contain at least one four-membered ring (4-MR), one plate, and one monocyclic ring. Chemical and electronic properties of the six C24 isomers are calculated based on a density-functional theory method (hybrid PBE1PBE functional and cc-pVTZ basis set). The properties include the nucleus-independent chemical shifts (NICS), singlet-triplet splitting, electron affinity, ionization potential, and gap between the highest occupied molecular orbital and the lowest unoccupied molecular orbital (HOMO-LUMO) gap. The calculation suggests that the neutral isomer 2, a nonclassical fullerene with two 4-MRs, may be more chemically stable than the classical fullerene (isomer 1). Analyses of molecular orbital NICS show that the incorporations of 4-MRs into the cage considerably reduce paratropic contributions from HOMO, HOMO-1, and HOMO-2, which are mainly responsible for the sign change in NICS from positive for isomer 1 (42) to negative (-19) for isomer 2, although C24 clusters satisfy neither 4N+2 nor 2(N+1)2 aromaticity rule. Anion photoelectron spectra of four cage isomers, one plate, one monocyclic ring, and one tadpole isomer, as well as three bicyclic ring isomers are calculated. The simulated photoelectron spectra of mono- and bicyclic rings (with C1 symmetry) appear to match the measured HOMO-LUMO gap (between the first and second band in the experimental spectra) [S. Yang et al., Chem. Phys. Lett. 144, 431 (1988)]. Nevertheless, the nonclassical fullerene isomers 3 and 4 apparently also match the measured vertical detachment energy (2.90 eV) reasonably well. These results suggest possible coexistence of nonclassical fullerene isomers with the mono- and bicyclic ring isomers of C24(-) under the experimental conditions.     

Theoretical Study on Two C_(16)H_(12)O_4 Isomers of Derivatives of Pagodane

1 NTRODUCTION Pagodane ([1.1.1.1]-pagodane) is the trivial name assigned to the D2h-symmetry undecacyclic poly- quinane undecacyclo-[9.9.0.01,5.02,12.02,18.03,7.06,10. 08,12.011,15.013,17.316,20]-eicosane (Fig. 1). It has been synthesized[1] and subsequently studied by Prinzbach and co-workers for more than twenty years[2, 3]. Des- cribed as a waxy solid melting without decomposi-tion and stable to at least 600 ℃ in gas phase, pa- godane is interesting for its exotic structure and as an…