略破二十面体对称推进汤姆逊问题
Slightly broken icosahedral symmetry advances Thomson problem
摘要：
为了推进Thomson问题，我们推广了Caspar和Klug（CK）提出的物理原理来模拟二十面体壳体。建议最简单的CK球的安排产生新的类型的审判结构非常接近最低的能量。在600<N<1000的区域内，我们发现了40个新的球形晶体，它们具有最低的能量和曲率诱导的拓扑缺陷，不是众所周知的细长疤痕，而是扁平的五边形。这些晶体具有CK模型中禁止的N值，并展示了结合局部六方有序和球形几何的新方法。
英文摘要：
To advance Thomson problem we generalize physical principles suggested by Caspar and Klug (CK) to model icosahedral capsids. Proposed simplest distortions of the CK spherical arrangements yield new-type trial structures very close to the lowest energy ones. In the region 600<N<1000, where N is the number of particles in the structure, we found 40 new spherical crystals with the lowest ever seen energies and curvature-induced topological defects being not the well-known elongated scars but flatten pentagons. These crystals have N values prohibited in the CK model and demonstrate a new way to combine the local hexagonal order and spherical geometry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
