Stabilities and Electronic Spectra for C78O2 Isomers

1 INTRODUCTION Functional derivatives of fullerenes have aroused chemists’ interest and monofunctional products are accompanied by difunctional derivatives[1～3]. Diede- rich[1] prepared and detected C70O2 by the FAB mass spectrum. Kalsbeck[2] synthesized C60On (n = 1～4) by electrochemical oxidation of C60. Wood[3] investi- gated photolysis of a crude fullerene mixture and obtained C60On (n = 2～5) and C70O2. Menon[4] stu- died the optimized structures and electronic proper- ties o…     

C77Si电子结构和光谱的量子化学研究

用INDO系列方法对C77Si的21种可能异构体进行了理论研究,表明最稳定异构体是由C78(C2v)椭球长轴所穿过的六元环上原子C35被Si取代所形成的,椭球短轴附近的原子不宜被取代;C77Si光谱吸收峰与C78相比发生红移,讨论了吸收峰红移的原因.     

Theoretical Studies on Stabilities and Spectroscopy of C78O5

The semi-empirical AM1 and INDO/CIS methods as well as density function theory were used to study equilibrium geometries and spectroscopic properties of the possible isomers of C78O5 based on C2v-C78. The most stable geometry of C78O5 is 28,29,30,31,52,53,70,71,73,78-C78O5(A) with one annulene-like structure and four epoxide structures. Compared with that of C2v-C78, the blue-shift in the electronic absorption spectra of C78O5 isomers is predicted. The reason for the blue-shift effect is discussed and the electronic transitions are assigned. The IR and NMR spectra of C78O5 are explored with the AM1 and B3LYP/6-31G methods based on the B3LYP/6-31G optimized geometries.     

异质富勒烯C76BN的UV和IR光谱研究

Twenty-tow possible isomers for C76BN were studied by INDO methods. The two most stable geometries are 52,53-C76BN and 29,28-C76BN, in which boron and nitrogen atoms are connected with each other and located at the 6/6 bond near the longest axis of C78(C2v). Electronic spectra of C76BN were investigated with INDO/SCI method. UV absorptions of C76BN are red-shifted compared with those of C78(C2v). The structures and IR spectra for the four stable isomers of C76BN were calculated by AM1 method. It was indicated that the substitution of the BN unit weakens the conjugation of carbon atoms, leading to the decrease of IR frequencies.     

C76Si2异构体的分子设计和光谱研究

用INDO系列方法对C76Si2的17种可能异构体进行系统理论研究, 表明最稳定异构体是由C78(C2V)沿X方向椭球长轴所穿过的六元环上的2个C原子(29, 30)被Si取代所形成, 异构体稳定性随2个Si原子沿Z方向距离增加而降低, 且取代场所附近易成为进一步反应中心; C76Si2(29, 30)电子光谱吸收峰与C78相比发生红移, 主要是由于其对称性降低和LUMO- HOMO能隙变小。     

C77N+异构体的稳定性和电子光谱研究

All of the possible 21 isomers for C77N+, an isoelectronic molecule of C78, were investigated by the INDO methods based on C78(C2V). It indicates from optimization that the most stable isomer is that the nitrogen atom substitutes C(78) located at the C(78)-C(73) bond passed through by the Y shortest axis and the atoms near the Z longest axis are also easy to substitute, whereas the atoms near the X shortest axis are relatively difficult to substitute. At the same time, C78 was compressed a little and ready to perform the further reaction to form C77 NR at the location of substitution. Electronic spectra of C77N+ were calculated by INDO/SCI method and electronic transition was theoretically assigned. The red shift of absorption peaks for electronic spectra of C77N+ took place compared with that of C78(C2V) because of its narrower LUMO HOMO energy gap. There are great differences in characteristic absorptions among C77N+ isomers, which can be considered as evidence of the formation for each isomer.     

C78O异构体的电子结构和光谱

The semi-empirical INDO method was used to study the electronic structures and the spectra of all of the 34 possible isomers of C78O based on C78 with group C2v. This calculation can simulate positions of an additional oxygen atom in C78 and predict the spectroscopic characteristics of the isomers. The most stable geometry of C78O is the 73,78-C78O molecule with an epoxide structure. The added 73,78-bond is located between two hexagons (6-6) and is intersected by the shortest C2 axis in C78 with group C2v. Atomic orbitals of the oxygen atom play an important role in lowering HOMO energy of 73,78-C78O. Compared with C78 with group C2v, the blue-shift in the electronic absorption spectrum for 73,78-C78O was observed.The reason of the blue-shift effect was discussed, and the electronic transitions were assigned based on the theoretical calculations.     

C_(70)R_2(R=OH,CH_3)的结构和电子光谱

INDO方法研究了C70R2（R＝OH，CH3）4种异构体的结构和稳定性，表明1，9－C70（OH）2比7，8－C70（OH）2稳定，两者能量差为38．5kJ／mol，而7，8－C70（CH3）2比1，9－C70（CH3）2能量低23．0kJ／mol．以优化构型为基础，对C70R2（R＝OH，CH3）的电子光谱进行了理论预测．     

C60哌嗪加成物的结构及光谱研究

用ＩＮＤＯ系列方法研究了Ｃ６０的哌嗪衍生物Ｃ６０Ｎ２（Ｃ２Ｈ４）２的结构。结果表明［６，６］，异构体具有Ｃ２ｖ对称性［６，５］，异构体具有Ｃｓ对称性，前者能量较低。以优化构型为基础，计算两种加成产物的ＵＶ谱，结果表明，［６，６］异构体的特征吸收与实验值相符，同时对［６，５］异构体的ＵＶ谱进行理论预测，对电子跃迁进行了理论指认，并分析了光谱红移的原因。     

Studies on the Electronic Structures and Spectra of C78（CH2）3

The structures and spectra of 20 possible isomers of C78(CH2)3 have been studied by using AM1,INDO/CIS and DFT methods. The results show that the most stable isomer is 1,2,3,4,5,6-C78(CH2)3 (A) with annulene structures,where three -CH2 groups are added to the 6/6 bonds located at the same hexagon passed by the shortest axis of C78 (C2v). Compared with that of C78 (C2v),the first absorption in the electronic spectrum of C78(CH2)3 (A) is blue-shifted because of its wider LUMO-HOMO energy gap. While the IR frequencies of the C–C bonds on the carbon cage are red-shifted owing to the formation of annulene structures and the extension of the conjugated system. The chemical shifts of the carbon atoms in 13C NMR spectra are moved upfield upon the addition.     

C_(60)环酮衍生物C_(66)H_8O与C_(67)H_(10)O顺反异构体的结构及光谱研究

用AM1，INDO/CI方法研究了C60与2-环己烯-1-酮和2-环庚烯-1-酮[2+2]环加成所得衍生物C_(66)H8O和C67H1O的结构。结果表明，两种衍生物的顺反异构体都只具有C1对称，C66H8O的顺式异构具有较低的能量和较小的偶极矩，C67H10的顺式并构体能量较低，但偶极矩较大，以优化构型为基础，计算加成产物的UV谱，对电子跃迁进行了理论指认，并分析了光谱移动的原因。     

Semi-Empirical and DFT Studies on Structures and Spectra for C78（CH2）2

Eighteen possible isomers of C78（CH2）2 weTe investigated by the INDO method. It was indicated that the most stable isomer was 42,43,62,63-C78（CH2）2, where the -CH2 groups were added to the 6/6 bonds located at the same hexagon passed by the longest axis of C78 （C2v）, to form cyclopropane structures. Based on the most stable four geometries of C78（CH2）2 optimized at B3LYP/3-21G level, the first absorptions in the electronic spectra calculated with the INDO/CIS method and the IR frequencies of the C-C bonds on the carbon cage computed using the AM1 method were blue-shifted compared with those of C78 （C2v） because of the bigger LUMO-HOMO energy gap and the less conjugated carbon cage after the addition. The chemical shifts of ^13C NMR for the carbon atoms on the added bonds calculated at B3LYP/3-21G level were moved upfield thanks to the conversion from sp^2-C to sp^3-C.     

C78n离子的Jahn-Teller畸变和电子光谱

用INDO系列方法对C78n(D3、D3h、D?h)进行系统研究,表明C78(D3)比C78(D3h、D?h)稳定,与理论计算及实验结果一致;且随n绝对值增大,C78n总能量升高;C78n(D3、D3h、D?h)异构体的部分离子发生了Jahn-Teller畸变.以优化构型为基础,用INDO/SCI方法首次计算了C78n的电子光谱,对电子跃迁进行理论指认,讨论C78n光谱的特征吸收与C78相比发生红移的原因.     

C64H6的结构和光谱的理论研究

本文用INDO系列方法研究了C64H6的结构与光谱, 表明C64H6有C2v和Cs两种稳定构型, 其中C2v构型能量较低, 讨论其加成及环加成产物对称性的规律并与13C NMR谱的实验结果相结合。计算了两种构型的电子光谱, 对电子跃迁进行了理论指认,并讨论了C64H6谱带红移的原因, 理论计算结果与实验事实基本吻合。     

C74(BN)2的UV和IR 光谱研究

Equilibrium geometries of 16 possible isomers for C74（BN）2 were studied by INDO series of methods, to indicate that the most stable three geometries are those where boron and nitrogen atoms substitute carbon atoms located at the same hexagon near the longest axis of C78 （C2v） to form B-N-B-N unit. Electronic spectra of C74（BN）2 were investigated with INDO/CIS method. The reason for the red shift of UV absorptions for C74（BN）2 compared with those of C78 （C2v） was discussed. IR spectra for 9,8,28,29-C74（BN）2 and 28,29,30,31-C74（BN）2 were calculated on the basis of AM1 geometries.     

C28H4-nCln(n=1~3)与CH4-nCln(n=1~3)的结构和电子光谱的理论研究

用INDO系列方法对C28H3Cl, C28H2Cl2, C28HCl3, CH3Cl, CH2Cl2, CHCl3进行了几何构型优化, C28H3Cl, C28HCl3, CH3Cl, CH3Cl为C3v对称性,C28H2Cl2, CH2Cl2为C2v对称性, 这六个分子的基态都是稳定闭壳层分子, 以此构型为基础计算了上述分子的电子光谱, C28H4-nCln(n=1~3)的电子光谱属于理论预测性质。     

C2H5C60H的加成产物的结构和光谱性质的量子化学研究

用INDO系列方法对C₂H₅C₆₀H的1,2-加成和1,4-加成两种产物异构体的结构进行了理论研究,结果表明1,2-C₂H₅C₆₀H具有Cs对称性,1,4-C₂H₅C₆₀H没有任何对称性,1,2-C₂H₅C₆₀H的总能量比1,4-C₂H₅C₆₀H的低。以此优化构型为基础,计算了两种产物异构体的电子吸收光谱,讨论了其光谱红移的原因,同时对产物的NMR谱进行了探讨。     

HC60CH2C6H5的结构及光谱的理论研究

用ＩＮＤＯ系列方法研究了由Ｃ６０＾２－制备的衍生物ＨＣ６０ＣＨ２Ｃ６Ｈ５的结构和ＵＶ光谱。结果表明，六元环上的１，２－异构体具有Ｃｓ对称性，１，４－异构体具有Ｃ１对称性。以优化构型为基础，计算两种加成产物的ＵＶ光谱，表明１，２－异构体的特征吸收与实验值相符；同时，对１，４－异构体的ＵＶ光谱进行了理论预测，对电子跃迁进行了理论指认，并分析了光谱红移的原因。     

Electronic structure and stability of fullerene C82 isolated-pentagon-rule isomers

All nine isolated-pentagon-rule isomers of fullerene C(82) were investigated by the DFT method with the B3LYP functional at the 6-31G, 6-31G*, and 6-31+G* levels. The distribution of single, double, and delocalized π-bonds in the molecules of these isomers is shown for the first time. The obtained results are fully supported by DFT quantum-chemical calculations of electronic and geometrical structures of these isomers. The molecules of isomers 7 (C(3v)), 8 (C(3v)), and 9 (C(2v)) contain some radical substructures (such as the phenalenyl-radical substructure), which indicates that they are unstable and cannot be obtained as empty molecules. Thus, there is a possibility of obtaining them only as endohedral metallofullerenes or exohedral derivatives. Isomers 1 (C(2)), 2 (C(s)), 4 (C(s)), 5 (C(2)), and 6 (C(s)) with closed electronic shell are supposed to be stable, resembling isomer 3 (C(2)), which has just been extracted experimentally as an empty fullerene. We assume they can be produced as empty molecules.     

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.