Tables for
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2016). Vol. A, ch. 1.3, pp. 22-41
doi: 10.1107/97809553602060000921

Chapter 1.3. A general introduction to space groups

B. Souvigniera*

aRadboud University Nijmegen, Faculty of Science, Mathematics and Computing Science, Institute for Mathematics, Astrophysics and Particle Physics, Postbus 9010, 6500 GL Nijmegen, The Netherlands
Correspondence e-mail:


1 The trace of a matrix is the sum of its diagonal entries.
2 A symmetric matrix [{\bi G}] is positive definite if [{\bf v}^{\rm T} \cdot {\bi G} \cdot {\bf v}\,\gt\, 0] for every vector [{\bf v} \neq 0].