Table 2.4.5.17

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. 334

Table 2.4.5.17

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 2.4.5.17 | top | pdf |
Tetragonal $[T{_1}]$ and hexagonal $[H{_1}]$ Laue classes: transverse modes, right-angle scattering

This table, written for the class $[T{_1}]$ , is also valid for the class $[H{_1}]$ with the additional relations $[c_{66} = {\textstyle{1 \over 2}}(c_{11} - c_{12})]$ ; $[p_{66} = {\textstyle{1 \over 2}}(p_{11} - p_{12})]$ .

$[\hat{\bf Q}]$	$[\hat{\bf u}]$	C	$[{\bf e}]$	$[{\bf e}']$	$[\beta]$
		$[c_{44} ]$		$[(q_1^{(1)},q_2^{(1)},0)]$	$[(q_1^{(1)}p_{4\bar 4}')^2 /c_{44}^{}]$
		$[c_{66}]$		$[(q_1^{(2)},0,q_3^{(2)})]$	$[\{[{(n_3 q_1^{(2)})^2 + (n_1 q_3^{(2)})^2 }]^{2}/n_3^4 c_{66}\}(q_1^{(2)}p_{66})^2 ]$
	D	$[c_{44} ]$		$[(q_1^{(5)},0,q_3^{(5)})]$	$[\{[{(n_3 q_1^{(5)})^2 + (n_1 q_3^{(5)})^2 }]^{2}/n_1^4 c_{44}\}(q_3^{(5)}p_{44}')^2 ]$
$[(1,1,0)/\sqrt 2 ]$		$[c_{44}]$		$[(q_1^{(7)},q_2^{(7)},0)]$	$[ [{(q_1^{(7)} + q_2^{(7)})p_{4\bar 4}' }]^{2}/2c_{44}]$
$[(1,1,0)/\sqrt 2 ]$	$[(1, - 1,0)/\sqrt 2 ]$	$[{\textstyle{1 \over 2}}(c_{11} - c_{12})]$	$[(1, - 1,0)/\sqrt 2 ]$	$[(q_1^{(10)},q_1^{(10)},q_3^{(10)})]$	$[\{ [{2(n_3 q_1^{(10)})^2 + (n_1 q_3^{(10)})^2 }]^{2}/n_3^4 (c_{11} - c_{12})\}[{q_1^{(10)}(p_{11} - p_{12})}]^{2}]$
$[(0,1,1)/\sqrt 2 ]$		$[{\textstyle{1 \over 2}}(c_{44} + c_{66})]$			$[p_{66}^2 /(c_{44} + c_{66})]$