杂富勒烯的电子结构与性质关系的研究──Ⅱ.C_(57)X_3,C_(56)X_4(X=B、N、P)的位置异构体

用 CNDO／2方法在 586微机上计算了 C57X3C56X4（X=B、N、P）的 234个位置异构体的电子结构。在C57X3（X=B、N、P）位置异构体中，C57X3（1，2，9）（X=B、N、P）分别是最稳定的。对于C56X4（X=B、N、P）位置异构体，C56B4（1，2，9，8），C56N4（1，2，9，12）和C56P4（1，2，9，12）分别是最稳定的，但稳定性都比C60差。其氧化或还原性都比 C60好，将它们和 C60比较，与 X相距一个或两个键的 C原子电荷密度增加或减少较多，其余电或亲核反应性增加；X与 X，X与 C原子之间 Wiberg Order都减少较多，其键的强度削弱；邻近杂原子的 C与 C原子之间 Wiberg Order减少或增加很少，其键的强度稍有削弱或增强。     

C59XH(X=N,B)自由基加成区域选择性的理论研究

用半经验的AMl方法,对C59XHCl2n(X=N,B;n=1～2)和C60H2Cl2n(n=1～2)的异构体进行几何构型全优化和振动频率计算,结合密度泛函B3LYP／6—31G^*单点能计算确定各异构体的相对稳定性．对比C59XH(X=N,B)和C60H2的H2加成方式,计算结果表明H2或Cl2加在碳笼官能化部分的邻近位置在能量上都是有利的：C59NH和C59BH自由基多加成物区域选择性的差别可归因于N原子和B原子电子性质的不同;立体效应是导致H2和Cl2加成方式不同的主要原因．     

C59XH(X=N,B)与1,3-丁二烯Diels-Alder环加成反应的区域选择性

应用半经验的AM1和密度泛函B3LYP/6-31G*方法对1,3-丁二烯与C59XH(X=N, B) Diels-Alder环加成反应的区域选择性进行理论研究, 选择一些有代表性的C59XH(X=N, B)的6—6键探讨环加成反应的机理. 1,3-丁二烯与C59NH进行的Diels-Alder反应, 随着加成位置远离C59NH的N原子, 活化能越来越低, 但都比1,3-丁二烯与C60相应反应的活化能高. 与此相反, 对于1,3-丁二烯与C59BH进行的环加成反应, 加成位置最靠近B原子的2,12/r-和2,12/f-过渡态的势垒最低, 并且比1,3-丁二烯与C60进行环加成反应的活化能约低18 kJ·mol-1, 其产物也是热力学最稳定的. 与C60相应的反应相比, C59NH和C59BH中N和B原子不同的电子性质对其邻位双键进行Diels-Alder环加成反应的活性产生了不同影响, 前者使反应活性降低, 后者使反应活性增强.     

CH3NO2与HE(23S)、Ne(3P0.2)的解离激发反应

利用分子束和化学发光技术，在单次碰撞条件下，首次研究了亚稳态原子He（23S）、Ne（3P0．2）与CH3NO2的解离激发反应，探测到反应的激发态产物（CH（A）、CH（B）、CH（C）的化学发光，在He（23S）／CH3NO2反应中同时探测到H（Balmer）的发射．利用He（23S）＋N2→N2＋（B）＋He＋e－作参考反应，测定了反应He（23S）／CH3NO2产生的CH的A－X，B－X，C－X以及H原子的发射速率常数．利用化学发光光谱的计算机模拟，求得了激发态产物CH（A）的初生态振动布居和转动温度．结合相空间理论对解离过程CH（A）的形成通道进行了讨论，认为CH（A）的形成是经由中间体CH3*的二体解离过程．     

C59XH（X=N,B）与1,3-丁二烯Diels-Alder环加成反应的区域选择性

应用半经验的AMI和密度泛函B3LYP/6-31G*方法对1,3-丁二烯与C59XH(X=N,B)Diels-Alder环加成反应的区域选择性进行理论研究,选择一些有代表性的C59XH(X=N,B)的6-16键探讨环加成反应的机理.1,3-丁二烯与C59NH进行的Diels-Alder反应,随着加成位置远离C59NH的N原子,活化能越来越低,但都比1,3-丁二烯与C60相应反应的活化能高.与此相反,对于1,3-丁二烯与C59BH进行的环加成反应.加成位置最靠近B原子的2,12/r-和2,12/f-过渡态的势垒最低,并且比1,3-丁二烯与C60进行环加成反应的活化能约低18 kJ·mol-1,其产物也是热力学最稳定的.与C60相应的反应相比,C59NH和C59BH中N和B原子不同的电子性质对其邻位双键进行Diels-Alder环加成反应的活性产生了不同影响,前者使反应活性降低,后者使反应活性增强.     

nido-C2B9H112-碳硼烷异构体结构和稳定性的密度泛函研究

采用密度泛函方法对11顶点巢式碳硼烷C2B9H112-异构体进行了几何结构优化,分析了稳定性、电荷分布及分子轨道.结果表明,9个异构体都有对应的稳定构型,保持了巢式骨架结构.C取代开口五元环上B的异构体更稳定,且随取代数目增加和C原子间距增加而增加,C—C键和C—B键作用增强.C取代内层B使异构体稳定性降低,C—C键和C—B键长随之增长.负电荷主要集中在C原子上,开口五元环上的C原子上负电荷要比内层C原子更多,成为亲核取代反应中心.异构体分子前线轨道具有和η5-C5H5-相似的π键性质,ΔELUMO-HOMO反映的化学稳定性与结构能量稳定性趋势一致.     

C_(59)F_(2n)HN(n=1,2)异构体的结构与稳定性的理论研究

分别用MNDO和AM1两种半经验方法,对C59F2nHN (n = 1, 2) 的异构体进行几何构型全优化,结合频率分析及HF/6-31G单点能计算,确定了各异构体的基态结构及其相对稳定性。计算结果表明,C59HN的F加成物的立体选择性规律与C60的不同,最稳定异构体不是1-2加成物。C59F2HN的最稳定异构体是1-4加成的6, 18-或12, 15-异构体; C59F4HN的最稳定异构体是1-4,1-4加成的6, 18; 12, 15-异构体,其能量远小于其它各异构体的能量。N原子取代碳笼骨架C原子后,改变了碳笼F加成物的立体选择性规律。     

（HAINH）n（n=2—3）环状化合物的结构特征

用自洽场理论（HF）和密度泛函理论（DFT）的B3LYP方法，在6－3G的水平上对化合物（HAlNH)2和（HAlNH)3的几何结构进行优化，并分别与环丁二烯C4H4和苯分子C6H6的结构和成键方式进行比较。以B3LYP／STO－3G方法讨论其分子轨道波函数．。结果表明：C4H4和（HAlNH)2均为D2h对称，前者为长方形结构，形成两个孤立的π键，而后者为菱形结构，形成一个π4^4键。C6H6和（HAlNH)3分子点群分别为D6h和D3h，并均形成一个π6^6键，成键原子对分子轨道的贡献不同，其中C原子是完全等价的。而Al和N原子各不相同，N原子比Al的贡献要大得多。     

(HAlNH)n(n=2～3)环状化合物的结构特征

用自洽场理论 (HF)和密度泛函理论 (DFT)的B3LYP方法 ,在 6 31G 的水平上对化合物(HAlNH) 2 和 (HAlNH) 3 的几何结构进行优化 ,并分别与环丁二烯C4 H4 和苯分子C6H6的结构和成键方式进行比较。以B3LYP STO 3G方法讨论其分子轨道波函数 (Ψ)。结果表明 :C4 H4 和 (HAlNH) 2 均为D2h对称 ,前者为长方形结构 ,形成两个孤立的π键 ;而后者为菱形结构 ,形成一个π44键。C6H6和 (HAlNH) 3分子点群分别为D6h和D3h,并均形成一个π66键。成键原子对分子轨道的贡献不同 ,其中C原子是完全等价的 ,而Al和N原子各不相同 ,N原子比Al的贡献要大得多     

(HAlNH)n(n=2～3)环状化合物的结构特征

用自洽场理论(HF)和密度泛函理论(DFT)的B3LYP方法,在6-31G*的水平上对化合物(HAlNH)2和(HAlNH)3的几何结构进行优化,并分别与环丁二烯C4H4和苯分子C6H6的结构和成键方式进行比较.以B3LYP/STO-3G方法讨论其分子轨道波函数(ψ).结果表明C4H4和(HAlNH)2均为D2h对称,前者为长方形结构,形成两个孤立的π键;而后者为菱形结构,形成一个π44键.C6H6和(HAlNH)3分子点群分别为D6h和D3h,并均形成一个π66键.成键原子对分子轨道的贡献不同,其中C原子是完全等价的,而Al和N原子各不相同,N原子比Al的贡献要大得多.     

Density functional study of chemical stability and nitrogen encapsulation of C48N12 and C58N12

On the basis of calculations using density functional theory, we show that C58N12, just as C48N12, can be a stable N-dopant of C70. By considering many different isomers of the product, we find that the chemical stability of C48N12 and C58N12, with respect to oxygenation, is not significantly different from that of C70, thereby indicating that the N-dopant would not easily be oxygenated in air under normal conditions. In both C48N12O and C58N12O, many different isomers are expected, in which oxygenation occurs at different C-N bonds as well as at C-C bonds, among which specific C-N bonds are the most amenable to the reaction. Investigation of their hydrogenations shows that C48N12 is slightly more easily hydrogenated than C60, while C58N12 is less easily hydrogenated. In addition, we expect a regiospecificity in the hydrogenated products of C58N12, which prefers to react at equatorial sites, while C70 prefers reaction at polar sites. Meanwhile, comparison of the encapsulation energy of a nitrogen atom (=N en) in C60, C48N12, C70, and C58N12 shows that the N-doped fullerenes, particularly C58N12, can encase the atom much better than the undoped ones, allowing us to expect the existence of N@C48N12 and N@C58N12. Spin multiplicities are doublet for most of their stable structures. These observations correlate with the formation of N en-C bonds, which are not found in N@C60 and N@C70. Various isomers of the N-encapsulating fullerenes were identified. The relative stability of these isomers heavily depends on the number of substitutional nitrogen atoms around N en-C bonds.     

Structure and stability of the defect fullerene clusters of C60: C59, C58, and C57

We have performed density functional calculations for the structures and stabilities of various isomers of the defect fullerene clusters of C(60): C(59), C(58), and C(57). The C(59_)5-8, C(58_)5-5-7, and C(57_)4-5-9 clusters were calculated to be the most stable isomers of the C(59), C(58), and C(57) clusters, respectively. There are obvious relationships between structure and stability of the defect fullerene clusters. First, an unsaturated carbon atom favors being located at a 6-membered ring rather than a 5-membered ring. Second, the most stable isomers prefer to have newly formed 5-membered rings, rather than newly formed 4-membered rings.     

DFT study on the stabilities of the heterofullerenes Sc3N@C67B, Sc3N@C67N, and Sc3N@C66BN

On the basis of calculations using density functional theory, we investigated the relative stabilities of all isomers of Sc3N@C67B and Sc3N@C67N as well as those of stable isomers of Sc3N@C66BN. As a result, we predict that Sc3N@C68 can be doped substitutionally with a boron atom much better than C60. This effect can be ascribed to the favorable electrostatic attraction between the encased Sc3N cluster and the polar C-B bonds of the fullerene cage, which show the important role played by the encapsulated atoms in stabilizing the fullerene. A difference in the interaction also determines the regiospecificity of Sc3N@C67B. On the contrary, N-doping of the fullerenes forming Sc3N@C67N is much less favorable than that in C60 or C70. A judicious choice of stable isomers of Sc3N@C66BN among a vast number of possible isomers indicates that Sc3N@C68 can also be doped with a pair of B and N atoms better than C60 under the simultaneous existence of B and N sources. Relative stabilities of various isomers of the BN-substituted fullerenes can be understood in terms of the combined electrostatic effects in the B- and N-substitutions of Sc3N@C68 complemented by a specific local preference in the N-substitution and the formation of a B-N bond.     

硼/氮掺杂富勒烯C20的结构和稳定性

应用密度泛函理论(DFT)的B3LYP/6-31G*方法, 对C_20-2nX_2n(X=B, N; n=1、2、3、4)各异构体进行几何构型全优化和振动频率计算, 确定了基态结构, 对它们的取代方式、电子结构、张力和芳香性进行了研究. 氮掺杂不能显著降低分子的张力, C₁₂N₈的张力甚至比C₂₀的还要大, 极不稳定. C₁₈B₂的两个最稳定异构体1,14-C₁₈B₂和1,3-C₁₈B₂都有比较大的能隙和结合能, 具有很强的芳香性, 其张力与C₂₀的相比均显著降低. 1,14-C₁₈B₂ 和1,3-C₁₈B₂具有较高的稳定性, 可以用红外光谱区分这两个构型异构体.     

Structures and vibrational spectra of the sulfur-rich oxides SnO (n = 4-9): the importance of pi*-pi* interactions

The structures of a large number of isomers of the sulfur oxides S(n)O with n = 4-9 have been calculated at the G3X(MP2) level of theory. In most cases, homocyclic molecules with exocyclic oxygen atoms in an axial position are the global minimum structures. Perfect agreement is obtained with experimentally determined structures of S(7)O and S(8)O. The most stable S(4)O isomer as well as some less stable isomers of S(5)O and S(6)O are characterized by a strong pi*-pi* interaction between S==O and S==S groups, which results in relatively long S--S bonds with internuclear distances of 244-262 pm. Heterocyclic isomers are less stable than the global minimum structures, and this energy difference approximately increases with the ring size: 17 (S(4)O), 40 (S(5)O), 32 (S(6)O), 28 (S(7)O), 45 (S(8)O), and 54 kJ mol(-1) (S(9)O). Owing to a favorable pi*-pi* interaction, preference for an axial (or endo) conformation is calculated for the global energy minima of S(7)O, S(8)O, and S(9)O. Vapor-phase decomposition of S(n)O molecules to SO(2) and S(8) is strongly exothermic, whereas the formation of S(2)O and S(8) is exothermic if n<7, but slightly endothermic for S(7)O, S(8)O, and S(9)O. The calculated vibrational spectra of the most stable isomers of S(6)O, S(7)O, and S(8)O are in excellent agreement with the observed data.     

Regioselectivity of 1,3-Butadiene Diels-Alder Cycloaddition to C59XH (X=N, B)

The regioselectivity of Diels-Alder cycloaddition of 1,3-butadiene to C₅₉XH (X=N, B) has been studied theoretically by means of the semiempirical AM1 and DFT (B3LYP/6-31G^*) methods. The mechanisms of the cycloaddition on some selected 6.6 bonds of C₅₉XH (X=N, B) have been analyzed. For C₅₉NH, the activation energies become lower with the addition site increasingly farther from the N atom; however, they are all higher than that of the reaction of 1,3-butadiene with C₆₀. In contrast to C59NH, for the cycloaddition to C₅₉BH, the activation energies corresponding to 2,12/r- and 2,12/f-transition states, in which the addition sites are the nearest ones to the B atom, are the lowest ones, and are lower than that of the reaction of 1,3-butadiene with C₆₀ by over 18 kJ·mol⁻¹, and the products corresponding to these two transition states are the most stable ones. The different electronic natures of N and B atoms results in different effects on the Diels-Alder reactions of 1,3-butadiene with C₅₉NH and C₅₉BH; the former makes the reactivity of C₅₉NH reduced and the latter makes the reactivity of C₅₉BH enhanced, relative to that of C₆₀.