Bravais classes, Voronoï cells, Delone symbols

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/MICHEL/1990-1999/P_94_63/P_94_63.pdf

Michel, Louis

MICHEL

12/1994

This text correspond to a set of lectures given at Third international school at Zajaceskowo (Poznan) Polane on Symmetry and structural Properties of condensed matter

Abstract : We give the most refined intrinsic classification of three dimensional Euclidean lattices by combining the 14 Bravais classes, the 5 combinatorial types of Voronoï cells and the 24 Delone symbols. After recalling the fondamental concepts of group actions, we define Bravais classes and Voronoï celles in arbitrary dimension. We are quite explicit for the application to two and three dimensions.

CRISTALLOGRAPHIE

P/94/63

©IHES

Citer ce document

MICHEL, “Bravais classes, Voronoï cells, Delone symbols,” Archives de l'IHES, consulté le 22 juin 2024, https://omeka.ihes.fr/document/P_94_63.pdf.