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

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. D. ch. 1.1, p. 19

Section 1.1.4.8.6. Hexagonal and cylindrical systems

A. Authiera*

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

1.1.4.8.6. Hexagonal and cylindrical systems

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1.1.4.8.6.1. Groups [6], [A_{\infty}], [622], [A_{\infty} \infty A_{2}], [6mm] and [A_{\infty} \infty M]

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It was shown in Section 1.1.4.6.2.3[link] that, in the case of tensors of rank 3, the reduction is the same for axes of order 4, 6 or higher. The reduction will then be the same as for the tetragonal system.

1.1.4.8.6.2. Group [\bar{6} = 3/m]

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One combines the reductions for the groups corresponding to a threefold axis parallel to [Ox_{3}] and to a mirror perpendicular to [Ox_{3}]: [Scheme scheme28]

There are 2 independent components.

1.1.4.8.6.3. Group [\bar{6}2m]

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One combines the reductions for groups 6 and 2mm: [Scheme scheme29]

There is 1 independent component.

1.1.4.8.6.4. Groups [6/m], [(A_{\infty}/M)C], [6/mm] and [(A_{\infty}/M) \infty (A_{2}/M)C]

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All the components are equal to zero.








































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