碳分子和布基球的结构和结合能

本文根据碳原子系统的经验性模型势，通过优化总能量，系统地计算了碳小分子Ｃ２，Ｃ３，Ｃ４，Ｃ５的结构，结合能，键长和基频，并和其它模型势结果及可靠的文献值进行比较，明确了各模型势的适用范围．同时本文还计算了各种单层布基球Ｃ６０，Ｃ２４０，Ｃ５４０，Ｃ９６０，以及多层布基球Ｃ６０＠Ｃ２４０，Ｃ６０＠Ｃ２４０＠Ｃ５４０的结构和结合能，总结了其键长的变化规律，结果表明：单层布基球的单键（长键）随其尺寸的增大而减小，而其双键则随尺寸的增大而增大；单键和双键均随尺寸的增大而光滑连续地趋于相应的单层石墨的键长。而对于多层布基球，外层原子的键长相对于孤立情形基本保持不变，而内部各层的键长则相对于孤立情形有显著的增加。

Structures and Cohesive Energies for Carbon Molecules,Bucky-balls and Bucky-Onions

Based on a model potential, we have performed calculations of cohesive energies, bond lengths and fundamental frequencies for small carbon molecules. The results have been comparied with data derived by other model potentials and available literature values. Limitations and capabilities of these model potentials in reproducing ground state configurations, cohesive energies and fundamental frequencies were critically assessed, Calculations of cohesive energies and bond lengths were also performed for various bucky-balls and buckyonions. Dependence of bond lengths on structure and size of the bucky-balls and bucky-onions were discussed.