Table 2.4.5.2

Vacher, R.; Courtens, E.

doi:10.1107/97809553602060000641

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. 2.4, p. 332

Table 2.4.5.2

R. Vacher^a ^* and E. Courtens^a

^a Laboratoire des Verres, Université Montpellier 2, Case 069, Place Eugène Bataillon, 34095 Montpellier CEDEX, France
Correspondence e-mail: rene.vacher@ldv.univ-montp2.fr

Table 2.4.5.2 | top | pdf |
Cubic Laue classes $[C{_1}]$ and $[C{_2}]$ : longitudinal modes

This table, written for the class $[C{_2}]$ , is also valid for the class $[C{_1}]$ with the additional relation $[p_{12} = p_{13}]$ . It can also be used for the spherical system where $[c_{44} = {\textstyle{1 \over 2}}(c_{11} - c_{12})]$ , $[p_{44} = {\textstyle{1 \over 2}}(p_{11} - p_{12})]$ .

$[\hat{\bf Q}= \hat{\bf u}]$	C	$[{\bf e}={\bf e}']$	$[\beta]$
	$[c_{11}]$		$[p_{13}^2 /c_{11}^{}]$
	$[c_{11}]$		$[p_{12}^2 /c_{11}^{}]$
$[(1,1,0)/\sqrt 2 ]$	$[{\textstyle{1 \over 2}}(c_{11}^{} + c_{12}^{}) + c_{44}^{}]$		$[(p_{12}^{} + p_{13}^{})_{}^2 /4C]$
$[(1,1,0)/\sqrt 2 ]$	$[{\textstyle{1 \over 2}}(c_{11}^{} + c_{12}^{}) + c_{44}^{}]$	$[(1, - 1,0)/\sqrt 2 ]$	$[(2p_{11}^{} + p_{12}^{} + p_{13}^{} - 4p_{44}^{})_{}^2 /16C]$
$[(1,1,1)/\sqrt 3 ]$	$[{\textstyle{1 \over 3}}(c_{11}^{} + 2c_{12}^{} + 4c_{44}^{})]$	$[(1,1, - 2)/\sqrt 6 ]$	$[(p_{11}^{} + p_{12}^{} + p_{13}^{} - 2p_{44}^{})_{}^2 /9C]$
$[(1,1,1)/\sqrt 3 ]$	$[{\textstyle{1 \over 3}}(c_{11}^{} + 2c_{12}^{} + 4c_{44}^{})]$	$[(1, - 1,0)/\sqrt 2 ]$	$[(p_{11}^{} + p_{12}^{} + p_{13}^{} - 2p_{44}^{})_{}^2 /9C]$