Table 2.2.3.4

Giacovazzo, C.

doi:10.1107/97809553602060000555

International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

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International Tables for Crystallography (2006). Vol. B. ch. 2.2, pp. 214-215

Table 2.2.3.4

C. Giacovazzo^a ^*

^aDipartimento Geomineralogico, Campus Universitario, I-70125 Bari, Italy
Correspondence e-mail: c.giacovazzo@area.ba.cnr.it

Table 2.2.3.4 | top | pdf |
Allowed origin translations, seminvariant moduli and phases for noncentrosymmetric non-primitive space groups

	H–K group

Space group	C2	Cm	Cmm2	C222	Amm2	Imm2	I222	F432	F222	I4	I422	$[I\bar{4}]$	Fmm2	I23
		Cc	$[Cmc2_{1}]$	$[C222_{1}]$	Abm2	Iba2	$[I2_{1}2_{1}2_{1}]$	$[F4_{1}32]$	F23	$[I4_{1}]$	$[I4_{1}22]$	$[I\bar{4}m2]$	Fdd2	$[I2_{1}3]$
			Ccc2		Ama2	Ima2			$[F\bar{4}3m]$	I4mm	$[I\bar{4}2m]$	$[I\bar{4}c2]$		I432
					Aba2				$[F\bar{4}3c]$	I4cm	$[I\bar{4}2d]$			$[I4_{1}32]$
										$[I4_{1}md]$				$[I\bar{4}3m]$
										$[I4_{1}cd]$				$[I\bar{4}3d]$
Allowed origin translations	(0, y, 0)	(x, 0, z)	(0, 0, z)	(0, 0, 0)	(0, 0, z)	(0, 0, z)	(0, 0, 0)	(0, 0, 0)	(0, 0, 0)	(0, 0, z)	(0, 0, 0)	(0, 0, 0)	(0, 0, z)	(0, 0, 0)
	$[(0, y, {1\over 2})]$		$[({1\over 2}, 0, z)]$	$[(0, 0, {1\over 2})]$	$[({1\over 2}, 0, z)]$	$[({1\over 2}, 0, z)]$	$[(0, 0, {1\over 2})]$	$[({1\over 2}, {1\over 2}, {1\over 2})]$	$[({1\over 4}, {1\over 4}, {1\over 4})]$		$[(0, 0, {1\over 2})]$	$[(0, 0, {1\over 2})]$
				$[({1\over 2}, 0, 0)]$			$[(0, {1\over 2}, 0)]$		$[({1\over 2}, {1\over 2}, {1\over 2})]$			$[({1\over 2}, 0, {3\over 4})]$
				$[({1\over 2}, 0, {1\over 2})]$			$[({1\over 2}, 0, 0)]$		$[({3\over 4}, {3\over 4}, {3\over 4})]$			$[({1\over 2}, 0, {1\over 4})]$
Vector $[{\bf h}_{s}]$ seminvariantly associated with $[{\bf h} = (h, k, l)]$	(k, l)	(h, l)	(h, l)	(h, l)	(h, l)	(h, l)	(h, l)			(l)	(l)		(l)
Seminvariant modulus $[\boldomega _{s}]$	(0, 2)	(0, 0)	(2, 0)	(2, 2)	(2, 0)	(2, 0)	(2, 2)	(2)	(4)	(0)	(2)	(4)	(0)	(1, 1, 1)
Seminvariant phases	$[\varphi_{e0e}]$	$[\varphi_{0e0}]$	$[\varphi_{ee0}]$	$[\varphi_{eee}]$	$[\varphi_{ee0}]$	$[\varphi_{ee0}]$	$[\varphi_{eee}]$	$[\varphi_{eee}]$	$[\varphi_{hkl}]$ with $[h + k + l \equiv 0]$ (mod 4)	$[\varphi_{hk0}]$	$[\varphi_{hke}]$	$[\varphi_{hkl}]$ with $[(2k - l) \equiv 0]$ (mod 4)	$[\varphi_{hk0}]$	All
Allowed variations for the semindependent phases	$[\matrix{\\|\infty\\|,\cr \\|2\\|\cr \hbox{ if } k = 0\cr}]$	$[\\|\infty\\|]$	$[\matrix{\\|\infty\\|,\cr \\|2\\|\cr \hbox{ if } l = 0\cr}]$	$[\\|2\\|]$	$[\matrix{\\|\infty\\|,\cr \\|2\\|\cr \hbox{ if } l = 0\cr}]$	$[\matrix{\\|\infty\\|,\cr \\|2\\|\cr \hbox{ if } l = 0\cr}]$	$[\\|2\\|]$	$[\\|2\\|]$	$[\\|2\\|]$ if $[h + k + l \equiv 0]$ (mod 2) $[\\|4\\|]$ if $[\equiv 1]$ (mod 2)	$[\\|\infty\\|]$	$[\\|2\\|]$	$[\\|2\\|]$ if $[h + k + l \equiv 0]$ (mod 2) $[\\|4\\|]$ if $[2k-l\equiv]$ 1 (mod 2)	$[\\|\infty\\|]$	All
Number of semindependent phases to be specified	2	2	2	2	2	2	2	1	1	1	1	1	1	0