中等大小碳团簇的基态结构是什么？
What is the ground-state structure of intermediate-sized carbon clusters?
摘要：
碳团簇各种纳米结构相对结构稳定性的综合研究（包括富勒烯、笼、洋葱、二十面体簇、巴基金刚石簇，球形块状终止簇，和具有刻面终止的团簇）在d < 5 nm范围内的半经验方法进行了研究（SCED-LCAO）哈密顿量。结果发现，在这些具有相同直径的纳米结构中，富勒烯仍然是最稳定的结构，相比之下，二十面体簇是其他四价簇的一系列离散n值的基态结构。利用基于SCED LCAO哈密顿量的有限温度分子动力学方法，观察到了从巴基金刚石结构到洋葱结构、笼结构、洋葱结构到笼结构的转变.还发现富勒烯的HOMO-LUMO能隙的尺寸依赖性显示出作为其直径（d）的函数的振荡。这种振荡与富勒烯的对称性有关，并且振荡的幅度似乎随着其尺寸的增加而减小。
英文摘要：
A comprehensive study on the relative structural stability of various nanostructures of carbon clusters (including fullerenes, cages, onions, icosahedral clusters, bucky-diamond clusters, spherically bulk terminated clusters, and clusters with faceted termination) in the range of d < 5 nm has been carried out using a semi-empirical method based on a self-consistent and environment-dependent/linear combination of atomic orbital (SCED-LCAO) Hamiltonian. It was found that among these nanostructures with the same diameter, fullerenes are still the most stable structure, in contrast to the icosahedral cluster being the ground state structure for a series of discrete n values for other tetravalent clusters. The transformations from a bucky-diamond structure to an onion structure, or to a cage structure, or from an onion structure to a cage structure have been observed using a finite temperature molecular dynamics scheme based on the SCED-LCAO Hamiltonian. It was also found that the size-dependence of the HOMO-LUMO gap of fullerene shows an oscillation as a function of its diameter (d). Such oscillation is associated with the symmetry of the fullerene, and the magnitude of oscillation appears to decrease as its size increases.
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