Independent components according to the following point groups

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

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International Tables for Crystallography (2006). Vol. D. ch. 1.1, pp. 29-30

Section 1.1.4.10.7.1. Independent components according to the following point groups

A. Authier^a ^*

^a Institut de Minéralogie et de la Physique des Milieux Condensés, Bâtiment 7, 140 rue de Lourmel, 75015 Paris, France
Correspondence e-mail: aauthier@wanadoo.fr

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(i) Triclinic system

(ii) Monoclinic system

(iii) Orthorhombic system

(iv) Trigonal, tetragonal, hexagonal and cylindrical systems

(a) Groups 3, 4, 6 and $[A_{\infty}]$ :
(b) Groups 32, 42, 62 and $[A_{\infty}\infty A_2]$ :
(c) Groups , , and $[A_{\infty}\infty M]$ :
(d) Group $[{\bar 4}]$ :
(e) Group $[\bar{4}2m]$ :
(f) Groups $[\bar{3}]$ , , $[\bar{6}2m]$ , $[\bar{3}m]$ , and : all components are equal to zero.

(v) Cubic and spherical systems

(a) Groups 23, 432 and $[\infty A_{\infty}]$ :

The axial tensor is reduced to a pseudoscalar.
(b) Groups $[m\bar{3}]$ , $[\bar{4}3m]$ , $[m\bar{3}m]$ and $[\infty (A_{\infty}/M)C]$ : all components are equal to zero.

International Tables for Crystallography (2006). Vol. D. ch. 1.1, pp. 29-30