Department of Chemical Engineering, University of Michigan, Ann Arbor, 48109, USA.
Phys Rev Lett. 2011 Nov 18;107(21):215702. doi: 10.1103/PhysRevLett.107.215702. Epub 2011 Nov 15.
We report a degenerate quasicrystal in Monte Carlo simulations of hard triangular bipyramids each composed of two regular tetrahedra sharing a single face. The dodecagonal quasicrystal is similar to that recently reported for hard tetrahedra [Haji-Akbari et al., Nature (London) 462, 773 (2009)] but degenerate in the pairing of tetrahedra, and self-assembles at packing fractions above 54%. This notion of degeneracy differs from the degeneracy of a quasiperiodic random tiling arising through phason flips. Free energy calculations show that a triclinic crystal is preferred at high packing fractions.
我们在硬三角双锥体的蒙特卡罗模拟中报告了一个退化的准晶，每个硬三角双锥体由两个共享一个面的规则四面体组成。十二角准晶类似于最近报道的硬四面体[Haji-Akbari 等人，《自然》（伦敦）462,773（2009）]，但在四面体的配对中是退化的，并在堆积分数高于 54%时自组装。这种简并的概念与通过准相位翻转产生的准周期随机镶嵌的简并不同。自由能计算表明，在高堆积分数下，三斜晶系晶体是首选。
