| Issue |
Europhys. Lett.
Volume 42, Number 2, April II 1998
|
|
|---|---|---|
| Page(s) | 167 - 172 | |
| Section | Condensed matter: structure, thermal and mechanical properties | |
| DOI | https://doi.org/10.1209/epl/i1998-00224-x | |
| Published online | 01 September 2002 | |
Statistics of Voronoi cells of slightly perturbed face-centered cubic and hexagonal close-packed lattices
1
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
Received:
18
July
1997
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
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