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Identification of Local Structure in 2-D and 3-D Atomic Systems through Crystallographic Analysis

Institute for Optoelectronic Systems and Microtechnology (ISOM) and Escuela Técnica Superior de Ingenieros Industriales (ETSII), Universidad Politécnica de Madrid (UPM), José Gutiérrez Abascal 2, 28006 Madrid, Spain
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Crystals 2020, 10(11), 1008; https://doi.org/10.3390/cryst10111008
Received: 13 October 2020 / Revised: 28 October 2020 / Accepted: 29 October 2020 / Published: 5 November 2020
(This article belongs to the Section Macromolecular Crystals)
In the present work, we revise and extend the Characteristic Crystallographic Element (CCE) norm, an algorithm used to simultaneously detect radial and orientational similarity of computer-generated structures with respect to specific reference crystals and local symmetries. Based on the identification of point group symmetry elements, the CCE descriptor is able to gauge local structure with high precision and finely distinguish between competing morphologies. As test cases we use computer-generated monomeric and polymer systems of spherical particles interacting with the hard-sphere and square-well attractive potentials. We demonstrate that the CCE norm is able to detect and differentiate, between others, among: hexagonal close packed (HCP), face centered cubic (FCC), hexagonal (HEX) and body centered cubic (BCC) crystals as well as non-crystallographic fivefold (FIV) local symmetry in bulk 3-D systems; triangular (TRI), square (SQU) and honeycomb (HON) crystals, as well as pentagonal (PEN) local symmetry in thin films of one-layer thickness (2-D systems). The descriptor is general and can be applied to identify the symmetry elements of any point group for arbitrary atomic or particulate system in two or three dimensions, in the bulk or under confinement. View Full-Text
Keywords: crystallization; crystal; hexagonal close packed; face center cubic; body center cubic; hexagonal crystal; square lattice; honeycomb lattice; trigonal lattice; Monte Carlo; crystallography; crystallographic elements; symmetry; entropy; hard sphere; polymer; square well; local structure; dense packing; thin film crystallization; crystal; hexagonal close packed; face center cubic; body center cubic; hexagonal crystal; square lattice; honeycomb lattice; trigonal lattice; Monte Carlo; crystallography; crystallographic elements; symmetry; entropy; hard sphere; polymer; square well; local structure; dense packing; thin film
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MDPI and ACS Style

Ramos, P.M.; Herranz, M.; Foteinopoulou, K.; Karayiannis, N.C.; Laso, M. Identification of Local Structure in 2-D and 3-D Atomic Systems through Crystallographic Analysis. Crystals 2020, 10, 1008. https://doi.org/10.3390/cryst10111008

AMA Style

Ramos PM, Herranz M, Foteinopoulou K, Karayiannis NC, Laso M. Identification of Local Structure in 2-D and 3-D Atomic Systems through Crystallographic Analysis. Crystals. 2020; 10(11):1008. https://doi.org/10.3390/cryst10111008

Chicago/Turabian Style

Ramos, Pablo M., Miguel Herranz, Katerina Foteinopoulou, Nikos C. Karayiannis, and Manuel Laso. 2020. "Identification of Local Structure in 2-D and 3-D Atomic Systems through Crystallographic Analysis" Crystals 10, no. 11: 1008. https://doi.org/10.3390/cryst10111008

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