Optimal ball packings for crystallographic groups of the cubic crystal system and their Dirichlet-Voronoi cells

2006 ◽  
Vol 221 (1) ◽  
Author(s):  
István Prok ◽  
Jenö Szirmai
Keyword(s):  
Euclidean Space ◽  
Crystallographic Groups ◽  
Cubic Crystal ◽  
Voronoi Cells ◽  
Crystal System ◽  
Ball Packings

AbstractIn this paper we look for densest ball packings of Euclidean space E

Electronic properties of crystalline fluorides of a cubic crystal system

2014 ◽  
Vol 59 (1) ◽  
pp. 6-9 ◽  
Author(s):  
I. E. Eremin ◽  
E. L. Eremin ◽  
V. A. Demchuk ◽  
V. G. Moiseenko
Keyword(s):  
Electronic Properties ◽  
Cubic Crystal ◽  
Crystal System

scholarly journals Large Poisson-Voronoi cells and Crofton cells

2004 ◽  
Vol 36 (03) ◽  
pp. 667-690 ◽  
Author(s):  
Daniel Hug ◽  
Matthias Reitzner ◽  
Rolf Schneider
Keyword(s):  
Euclidean Space ◽  
Surface Area ◽  
High Probability ◽  
Voronoi Tessellation ◽  
Voronoi Cells ◽  
Typical Cell ◽  
Zero Cell

It is proved that the shape of the typical cell of a stationary Poisson-Voronoi tessellation in Euclidean space, under the condition that the volume of the typical cell is large, must be close to spherical, with high probability. The same holds if the volume is replaced by the surface area or other suitable functionals. Similar results are established for the zero cell of a stationary and isotropic Poisson hyperplane tessellation.

Sign in / Sign up

Export Citation Format

Share Document