Packing Concave Molecules in Crystals and Amorphous Solids: On the Connection between Shape and Local Structure

Bibliographic Details
Title: Packing Concave Molecules in Crystals and Amorphous Solids: On the Connection between Shape and Local Structure
Authors: Jennings, Cerridwen, Ramsay, Malcolm, Hudson, Toby, Harrowell, Peter
Source: Molecular Physics, 113 (17-18), 2755-2769 (2015)
Publication Year: 2019
Collection: Condensed Matter
Subject Terms: Condensed Matter - Soft Condensed Matter
More Details: 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.
Document Type: Working Paper
DOI: 10.1080/00268976.2015.1046528
Access URL: http://arxiv.org/abs/1902.02604
Accession Number: edsarx.1902.02604
Database: arXiv
More Details
DOI:10.1080/00268976.2015.1046528