Accurate calculation,prediction, and assignment of 3He NMR chemical shifts of helium-3-encapsulated fullerenes and fullerene derivatives

Helium-3 NMR chemical shifts of various (3)He-encapsulated fullerenes ((3)He@C(n)()) and their derivatives have been calculated at the GIAO-B3LYP/3-21G and GIAO-HF/3-21G levels with AM1 and PM3 optimized structures. A good linear relationship between the computed (3)He NMR chemical shifts and the experimental data has been determined. Comparisons of the calculation methods of (3)He NMR chemical shifts show that GIAO-B3LYP/3-21G with AM1-optimized structures yields the best results. The corrected (3)He NMR chemical shifts were calculated from the correction equation that is obtained through linear regression fitting of the experimental and calculated (3)He NMR chemical shifts over a wide range of (3)He-encapsulated fullerene compounds. The corrected (3)He NMR chemical shifts match the experimental data very well. The current computational method can serve as a prediction tool and can be applied to the assignments and reassignments of the (3)He NMR chemical shifts of (3)He@C(n)() and their derivatives.     

内嵌富勒烯的研究进展

内嵌富勒烯由于其结构新颖以及独特而优异的性质在国际上引起持续而广泛的关注,成为近年来的研究热点之一.目前已经研究发现的内嵌富勒烯多达近百种,从惰性气体到碱土金属再到稀土元素都已被成功地嵌入到不同尺寸的碳笼中.其中金属离子或含金属的离子簇内嵌入富勒烯碳笼形成的内嵌金属富勒烯,以其种类丰富、结构多样成为内嵌富勒烯的主要研究对象.本文就近年来研究报道的种类繁多的内嵌富勒烯按其内嵌物类型进行归纳阐述,为今后开发更多新型的内嵌富勒烯提供一定的参考.     

Quantum-chemical study of endohedral fullerenes

State-of-the-art in quantum-chemical research on endohedral fullerenes is considered. Separate chapters are devoted to complexes with noble gases, main group elements, and methals and their nitrides. The structures and the mechanisms of formation and decomposition of these compound sare highlighted. Applicability of various quantum-chemical methods for endohedral fullerene complexes is discussed. Problems associated with the use of the ROHF and UHF methods are revealed. The DFT method with hybrid functionals and effective core potentials for heavy atoms is shown to hold the greatest promise.     

Separation of open-cage fullerenes using nonaqueous capillary electrophoresis

In this study, nonaqueous capillary electrophoresis (NACE) was used to separate three open-cage fullerenes. Trifluoroacetic acid (TFA) was used as the nonaqueous background electrolyte to change the analytes’ mobilities. The selectivity and separation efficiency were critically affected by the nature of the buffer system, the choice of organic solvent, and the concentrations of TFA and sodium acetate (NaOAc) in the background electrolyte. The optimized separation occurred using 200 mM TFA/20 mM NaOAc in MeOH/acetonitrile (10:90, v/v), providing highly efficient baseline separation of the open-cage fullerenes within 5 min. The migration time repeatability for the three analytes was less than 1% (relative standard deviation). Thus, NACE is a rapid, useful alternative to high-performance liquid chromatography for the separation of open-cage fullerenes.     

Synthesis,extraction, and chromatographic purification of higher empty fullerenes and endohedral gadolinium metallofullerenes

Higher empty and endohedral gadolinium metallofullerenes were prepared by electric arc synthesis, isolated, and separated chromatographically to high degree of purity (99 wt %). The samples obtained were characterized by chromatography, optical spectroscopy, and mass spectrometry. According to small-angle neutron scattering data, the endohedral metallofullerenes in o-xylene form a molecular solution in which the molecules interact to form molecular pairs.     

Photoionization/fragmentation of endohedral fullerenes

Photoionizationlfragmentation of endohedral fullerenes was investigated by use of laser-de sorption time-offlight (LD-TOF) mass spectroscopy. The velocity distribution of the parent ion (LaC ₈₂ ⁺ ) was found to be bimodal, as has previously been shown for laser desorbed C ₆₀ ⁺ . The 0 fragment ions have velocity distributions corresponding predominantly to the fast parent ion distribution. The LD-TOF mass spectra taken with a relatively low laser fluence were independent of the delay time of the extraction pulse, showing only a monotonically decreasing pattern of LaC _2n ⁺ (as n decreased). However, with higher laser fluence, it was shown that the mass distributions drastically changed from the monotonically decreasing pattern to that of C _2n ⁺ and LaC _2n ⁺ with magic numbers. Based on these findings, a plausible photoionization/fragmentation mechanism is presented and discussed.     

Synthesis of 18-membered open-cage fullerenes through controlled stepwise fullerene skeleton bond cleavage processes and substituent-mediated tuning of the redox potential of open-cage fullerenes

Oxidation of the fullerenediol C(60)(OH)(2)(O)(OAc)(OOtBu)(3) with PhI(OAc)(2) yields the open-cage fullerene derivative C(60)(O)(2)(O)(OAc)(OOtBu)(3)2 with an 11-membered orifice. Compound 2 reacts with aniline to form a new open-cage derivative with a 14-membered orifice, which yields an 18-membered open-cage fullerene derivative upon addition of another molecule of aniline. Two different types of aniline derivatives with either electron-donating or electron-withdrawing substituents can be added sequentially, affording an unsymmetrical moiety in the open-cage structure. Reduction potentials of the 18-membered open-cage fullerene derivatives can be fine-tuned by changing the substituents on the aniline. The results provide new insights about the mechanism of open-cage reactions of fullerene-mixed peroxide.     

Dipole polarizabilities of noble gas endohedral fullerenes

First-principles calculations were performed on the polarizabilities of noble gas endohedral complexes, X@C₆₀ (X = He–Kr). The polarizability of X@C₆₀ increases from He–Kr, but is distinctly smaller than the sum of the X atoms and C₆₀, unlike many other non-bonded systems for which an additive rule holds. Compared to C₆₀, the increased polarizabilities in X@C₆₀ are mainly from the enhanced charge transfer contribution of the cage and the local polarization of the interior X atoms, though the interior atoms are found less polarized than the corresponding free ones.     

Vibrational properties of noble gas endohedral fullerenes

Analysis of IR and Raman spectra of Ar@C(60) and Kr@C(60) shows that the incorporation of noble gas atoms causes a blue shift of low energy vibrations, which have radial character, and a red shift of higher energy ones which have a tangential character movement. The mechanism of these phenomena is explained on the basis of ab initio numerical experiments with DFT and MP2 procedures. Methodological discussions are advanced, altogether with a scheme for the estimation of the van der Waals interaction between fullerene and noble gas, based on the frequency shifts.     

Density functional calculations of 3He chemical shift in endohedral helium fullerenes: Neutral, anionic, and di-helium species

We report density functional calculations of 3He nuclear magnetic resonance chemical shifts in a series of experimentally known endohedral helium fullerenes, He(n)@Cm(q) (n = 1, 2; m = 60, 70, 76, 78; q = 0, 6-), including for the first time anionic and di-helium species. Despite the lack of dispersion in the density functional model, the results are in promising agreement with experiment. Density functional theory performs better than Hartree-Fock for the anionic systems. In the di-helium species confined in the small C60 cage, besides the atomic displacements from the center position, the direct He-He interactions contribute to the 3He shift.     

Template ordered open-grid arrays of paired endohedral fullerenes

Developing useful molecular systems, such as planar networks for novel molecular electronics, requires the ability to control the way molecules assemble at surfaces. Here we report how an oxide crystal surface can be used as a template to controllably order endohedral fullerenes, Er3N@C80, into two-dimensional (2D) open-grid arrays. The crystal surface is made of highly ordered oxide nanostructures which self-assemble on the surface of SrTiO3(001). This method of molecular ordering can be applied to other fullerenes and has the potential to provide a basis for developing a wide range of molecular architectures.     

Metallic nitride endohedral fullerenes: synthesis and electrochemical properties

Metallic nitride endohedral fullerenes (MNEFs) are one of the most interesting types of metallofullerenes due to their high yields and interesting electronic properties. The synthesis of these compounds allows the encapsulation of different metals inside fullerenes making it possible to combine the properties of the metal with those of the fullerene. Their interesting electrochemical and optical features make them potential candidates for several applications such as molecular electronics, biomedical imaging, non-linear optical devices, and MRI agents. We report herein the synthesis, isolation, and electrochemical properties of the larger MNEFs including Gd₃N@C₈₂ and Gd₃N@C₈₆, reported here for the first time.     

Radiochemical challenges in the study of endohedral fullerenes and MD simulation

The formation of atom-doped fullerenes has been investigated by using several types of radionuclides produced by nuclear reactions. From the trace of the radioactivities after high performance liquid chromatography (HPLC), it was found that formation of endohedral fullerenes (or heterofullerene) with small atoms (Be, Li), noble-gas atoms (Kr, Xe) and 4B–6B elements (Ge, As, Se, Sb, Te etc.) is possible by a recoil process following the nuclear reaction. In order to show the possibility of creating endohedral fullerenes by inserting a foreign atom with a suitably high kinetic energy into C₆₀, we have carried out large-scale ab initio molecular dynamics simulations on the basis of the all-electron mixed-basis approach with atomic orbitals and plane waves for Li, Be, N, O, Na, S, Cl, K, V, Cu, As, Se, Sb, Te, Kr, Xe. This revised version was published online in July 2006 with corrections to the Cover Date.     

Th@C76. Computational characterization of larger actinide endohedral fullerenes

The actinide endohedral fullerene Th@C₇₆ was successfully prepared in a very recent experiment (Wang et al., J. Am. Chem. Soc. 2017 , 139, 5110) yet without any structural information. In this work, density functional theory calculations revealed that this novel molecule bears a T_d(19151)‐C₇₆ cage obeying the isolated pentagon rule. The internal Th atom is off‐centered and resides under a sumanene‐type hexagonal ring, formally donating 4e to the carbon cage. The metal position was rationalized by the structure and charge distribution of the negatively charged cage. Interestingly, an octahedron‐like dynamic trajectory of metal inside the C₇₆ cage at high temperature was found based on the cage symmetry and located transition state structures. Furthermore, the infrared, NMR, and UV/vis spectra of Th@C₇₆ were simulated to assist future experimental characterization.     

The use of mid-points or average NMR chemical shifts in stereochemical assignments

A comparison of the mid-points or average chemical shifts of mirror-symmetrical spin patterns in the NMR spectra of structural isomers can be used in a straightforward manner to obtain stereochemical information. This result is anticipated from analysis of substituent contributions to chemical shifts and has been observed in a variety of chemical systems, especially cyclobutane derivatives, which comprise a group of compounds for which appreciable data is available and whose structure assignments have often entailed difficulty and even controversy. The method of mid-point comparison may also be useful for conformational analysis.     

Electron attachment to higher fullerenes and to Sc3N@C80

We report on attachment of free electrons to fullerenes C(n) (n = 60, 70, 76, 78, 80, 82, 84, 86) and to Sc(3)N@C(80). The attachment cross sections exhibit a strong resonance at 0 eV for all species. The overall shape of the anion yield versus electron energy is quite similar for the higher fullerenes, with a minimum around 1 eV and a maximum which gradually shifts from 6 eV for C(60) to approximately 4 eV for large n. The endohedral Sc(3)N@C(80) exhibits a particularly shallow minimum and a maximum below 4 eV. We model autoionization of the anions with due consideration of the internal energy distributions. The relatively low electron affinity of Sc(3)N@C(80) is reflected in its reduced ion yield at higher attachment energies.     

Energy of compressed endoatoms and the energy capacity of small endohedral rare-gas fullerenes

The excess energies of the endoatoms within endofullerenes X@C_n (X = He, Ne, Ar; n = 20–50) as compared with the energies of the free atoms X were estimated using the simplest Thomas-Fermi model and density functional calculations at the B3LYP/6-311G* level. The energy capacities of the endofullerenes under study are primarily determined by the contributions of the compressed electronic systems of the endoatoms rather than the stretched fullerene cages. Dedicated to Academician A. L. Buchachenko on the occasion of his 70th birthday. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1939–1942, September, 2005.