密集四面体的无序,准晶和晶相
Amir Haji-Akbari1, Michael Engel, Aaron S Keys
1Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, USA.
硬四面体可以比球体更密集,形成一个意想不到的十二角形半晶体. 这一发现挑战了以前的包装限制,并揭示了由粒子形状和驱动的复杂结构.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 晶体学 晶体学是指结晶学.
背景情况:
- 乌拉姆的猜想假定凸的形状比球体更密集 (包装分数~0.7405).
- 以前的研究表明,正规四面体比球体更密集,达到0.8230.0.
- 非球形颗粒的有序包装仍然是一个重大挑战.
研究的目的:
- 为了研究硬四面体最密集的包装.
- 探索由四面体形成的新型高密度状态和结构.
- 了解在复杂粒子形状的自我组装中的作用.
主要方法:
- 硬四面体流体的热力学计算机模拟.
- 观察阶段过渡和结构演变.
- 压缩晶体近似值和无序的卡住状态.
主要成果:
- 观察到第一阶段过渡到十二角形准晶体,达到0.8324.4的包装分数.
- 一个准晶体近似的压缩产生了0.8503.3的包装分数.
- 无序的堵塞状态达到0.7858的包装分数,而准晶体形成被抑制.
结论:
- 硬四面体可以形成准晶体,这是第一个报告的非球形粒子.
- 复杂结构的形成是由和粒子形状驱动的.
- 这项工作展示了从简单的建筑块中建立高度有序结构的潜力.
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