Packing Concave Molecules in Crystals and Amorphous Solids: On the Connection between Shape and Local Structure
arXiv:1902.02604 · doi:10.1080/00268976.2015.1046528
Abstract
The structure of the densest crystal packings is determined for a variety of concave shapes in 2D constructed by the overlap of two or three disks. The maximum contact number per particle pair is defined and proposed as a useful means of categorizing particle shape. We demonstrate that the densest packed crystal exhibits a maximum in the number of contacts per particle but does not necessarily include particle pairs with the maximum contact number. In contrast, amorphous structures, generated by energy minimization of high temperature liquids, typically do include maximum contact pairs. The amorphous structures exhibit a large number of contacts per particle corresponding to over-constrained structures. Possible consequences of this over-constraint are discussed.
References in corpus (14)
- Superdense Crystal Packings of Ellipsoids
- Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
- Stress Propagation through Frictionless Granular Material
- Dense Packings of Polyhedra: Platonic and Archimedean Solids
- Dense Regular Packings of Irregular Non-Convex Particles
- Fundamental challenges in packing problems: from spherical to non-spherical particles
- Densest binary sphere packings
- Self-assembly of "Mickey Mouse" shaped colloids into tube-like structures: experiments and simulations
- Particle shape dependence in 2D granular media
- Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes Are Created Equal
- Maximally dense packings of two-dimensional convex and concave noncircular particles
- Rods are less fragile than spheres: Structural relaxation in dense liquids composed of anisotropic particles
- Polyhedral colloidal `rocks': low-dimensional networks
- Self-assembly and crystallisation of indented colloids at a planar wall