【摘要】 一般性地说,根据数学对称性可知,60个带正电的点电荷在球面上所可能形成的数学结构有:截角二十面体,即足球烯C₆₀结构,小斜方截半二十面体结果和扭棱十二面体结构.然而,在本文中,通过基于蒙特卡罗方法模拟,计算结果表明60个带正电的点电荷在球面上所形成的结构并不是早先数学上根据对称性所给出的预期结构,而是一种全部由三角形组成的新的结构,它在能量上比其它3种结构的能量均要低.因此,通过本文的研究,计算结果展示出60个点电荷在球面上可以形成另外一种新的结构,同时该计算模拟方法也可为后续利用基于蒙特卡罗模拟方法探索研究不同的分子结构的模拟提供一种新的技能以寻找可能存在的新的结构.更多还原

【Abstract】 In this paper, a theoretical simulation is carried out for the studies on the nature of 60-charged particles on a spherical surface based on the Monte Carlo method, and is revealed a new structure with composited of 116 triangles, which has the lowest energy in compared to the previous found spherical structures, including the truncated icosahedron or Fullerence structure, the rhombic dodecahedron, and the snub dodecahedron structure. The importance of this paper not only provides a rich knowledge for the undergraduate students in the fundamental educations, but also sheds a new light into the search for exotic molecule structures based on the Monte Carlo simulations.更多还原