(International Tables for Crystallography) Tensorial properties of local crystal susceptibilities

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

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International Tables for Crystallography (2013). Vol. D. ch. 1.11, p. 272

Table 1.11.2.2

V. E. Dmitrienko,^a ^* A. Kirfel^b and E. N. Ovchinnikova^c

^aA. V. Shubnikov Institute of Crystallography, Leninsky pr. 59, Moscow 119333, Russia,^bSteinmann Institut der Universität Bonn, Poppelsdorfer Schloss, Bonn, D-53115, Germany, and ^cFaculty of Physics, M. V. Lomonosov Moscow State University, Leninskie Gory, Moscow 119991, Russia
Correspondence e-mail: dmitrien@crys.ras.ru

Table 1.11.2.2| top | pdf |
The indices of the forbidden reflections and corresponding tensors of structure factors $[F_{jk}(hk\ell)]$ for the cubic space groups ( $[n = 0, \pm 1, \pm 2,\ldots]$ )

Space group	Indices of reflections	Expressions for $[F_{jk}(hk\ell)]$ and additional restrictions
	$[00\ell{:}\ \ell=2n+1]$	(1.11.2.23)
$[Pn\bar3]$	$[0k\ell{:}\ \ell=2n+1]$	(1.11.2.6); for $[00\ell]$
$[Fd\bar3]$	$[0k\ell{:}\ k,\ell=2n, k+\ell=4n+2]$	(1.11.2.6); for $[00\ell]$
$[Pa\bar3]$	$[0k\ell{:}\ k=2n+1]$	(1.11.2.6); for
$[Ia\bar3]$	$[0k\ell{:}\ k,\ell=2n+1]$	(1.11.2.6)
	$[00\ell{:}\ \ell=2n+1]$	(1.11.2.24)
	$[00\ell{:}\ \ell=4n+2]$	(1.11.2.24)
	$[00\ell{:}\ \ell=4n\pm 1]$	(1.11.2.23); $[F_2=\mp iF_1]$
	$[00\ell{:}\ \ell=4n+2]$	(1.11.2.24)
	$[00\ell{:}\ \ell=4n\pm 1]$	(1.11.2.23); $[F_2=\pm iF_1]$
	$[00\ell{:}\ \ell=4n+2]$	(1.11.2.24)
	$[00\ell{:}\ \ell=4n+2]$	(1.11.2.24)
$[P\bar43n]$	$[hh\ell{:}\ \ell=2n+1]$	(1.11.2.22); for $[00\ell]$ , for
$[F\bar43c]$	$[hh\ell{:}\ h,\ell=2n+1]$	(1.11.2.22); for
$[I\bar43d]$	$[hh\ell{:}\ 2h+\ell=4n+2]$	(1.11.2.22); for $[00\ell]$ , for
$[Pn\bar3n]$	$[hh\ell{:}\ \ell=2n+1]$	(1.11.2.22); for
	$[0k\ell{:}\ k+\ell=2n+1]$	(1.11.2.6); for $[00\ell]$
$[Pm\bar3n]$	$[hh\ell{:}\ \ell=2n+1]$	(1.11.2.22); for
$[Pn\bar3m]$	$[0k\ell{:}\ k+\ell=2n+1]$	(1.11.2.6); for $[00\ell]$
$[Fm\bar3c]$	$[hh\ell{:}\ h,\ell=2n+1]$	(1.11.2.22); for
$[Fd\bar3m]$	$[0k\ell{:}\ k,\ell=2n,k+\ell=4n+2]$	(1.11.2.6); for $[00\ell]$
$[Fd\bar3c]$	$[0k\ell{:}\ k,\ell=2n,k+\ell=4n+2]$	(1.11.2.6); for $[00\ell]$
	$[hh\ell{:}\ h,\ell=2n+1]$	(1.11.2.22); for
$[Ia\bar3d]$	$[0k\ell{:}\ k,\ell=2n+1]$	(1.11.2.6); for
	$[hh\ell{:}\ 4h+\ell=4n+2]$	(1.11.2.22); : , for $[00\ell]$