Table 1.7.2.3

Boulanger, B.; Zyss, J.

doi:10.1107/97809553602060000634

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

pdf | chapter contents | chapter index | related articles

International Tables for Crystallography (2006). Vol. D. ch. 1.7, p. 183

Table 1.7.2.3

B. Boulanger^a ^* and J. Zyss^b

^a Laboratoire de Spectrométrie Physique, Université Joseph Fourier, 140 avenue de la Physique, BP 87, 38 402 Saint-Martin-d'Hères, France, and ^bLaboratoire de Photonique Quantique et Moléculaire, Ecole Normale Supérieure de Cachan, 61 Avenue du Président Wilson, 94235 Cachan, France
Correspondence e-mail: benoitb@satie-bourgogne.fr

Table 1.7.2.3 | top | pdf |
Nonzero χ⁽²⁾ coefficients and equalities between them under the Kleinman symmetry assumption

Symmetry class	Independent nonzero χ⁽²⁾elements under Kleinman symmetry
Triclinic
C ₁ (1)	, , , , , , , , ,

Monoclinic
C ₂ (2) (twofold axis parallel to z)	, , ,
C _s (m) (mirror perpendicular to z)	, , , , ,

Orthorhombic
C _2v (mm2) (twofold axis parallel to z)	, ,
D₂ (222)

Tetragonal
C ₄ (4)	,
S ₄ ( $[\bar 4]$ )	,
D ₄ (422)	All elements are nil
C _4v (4mm)	,
D _2d ( $[\bar 4 2 m]$ )

Hexagonal
C ₆ (6)	,
C _3h ( $[\bar 6]$ )	,
D ₆ (622)	All elements are nil
C _6v (6mm)	,
D _3h ( $[\bar 6 2 m]$ ) (mirror perpendicular to x)

Trigonal
C ₃ (3)	, , ,
D ₃ (32)
C _3v (3m) (mirror perpendicular to x)	, ,

Cubic
T (23), T_d ( $[\bar 4 3 m]$ )
O (432)	All elements are nil