International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. C. ch. 9.8, p. 940

Section 9.8.4.3.2. Crystallographic systems

T. Janssen,a A. Janner,a A. Looijenga-Vosb and P. M. de Wolffc‡

a Institute for Theoretical Physics, University of Nijmegen, Toernooiveld, NL-6525 ED Nijmegen, The Netherlands,bRoland Holstlaan 908, NL-2624 JK Delft, The Netherlands, and cMeermanstraat 126, 2614 AM, Delft, The Netherlands

9.8.4.3.2. Crystallographic systems

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Definition 5.  A crystallographic system is a set of lattices having geometrically equivalent holohedral point groups.

In this way, a given holohedral point group (and even each crystallographic point group) belongs to exactly one system. Two lattices belong to the same system if there are orthonormal bases in V and in [V_I], respectively, such that the holohedral point groups of the two lattices are represented by the same set of matrices.








































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