Statistics of Voronoi cells of slightly perturbed face-centered cubic and hexagonal close-packed lattices
Groupe Matière Condensée et Matériaux, UMR CNRS 6626, Université
de Rennes 1, 35042 Rennes Cedex, France
2 Service de Physique Théorique, Direction des Sciences de la Matière, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
Accepted: 12 March 1998
We have studied theoretically and by numerical simulations the topological properties of Voronoi tessellations of slightly perturbed fcc and hcp lattices. The number f of faces of a cell can go from 12 to 18 with a mean value very different from the value 12 in the non-perturbed lattices. A face can have 4, 5 or 6 sides; we give the percentages of each type of face both in the cells with given values of f and in the whole tessellation. The study of the topological correlations between neighbouring cells shows that Aboav-Weaire's law is valid.
PACS: 64.60.Cn – Order-disorder transformations; statistical mechanics of model systems / 61.72.-y – Defects and impurities in crystals; microstructure / 05.90.+m – Other topics in statistical physics and thermodynamics
© EDP Sciences, 1998