Table 1.1.3

Kopskyacute, V.; Litvin, D. B.

doi:10.1107/97809553602060000646

International
Tables for
Crystallography
Volume E
Subperiodic groups
Edited by V. Kopský and D. B. Litvin

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International Tables for Crystallography (2006). Vol. E. ch. 1.1, pp. 3-4

Table 1.1.3

V. Kopský^a and D. B. Litvin^b ^*

^a Department of Physics, University of the South Pacific, Suva, Fiji, and Institute of Physics, The Academy of Sciences of the Czech Republic, Na Slovance 2, PO Box 24, 180 40 Prague 8, Czech Republic, and ^bDepartment of Physics, Penn State Berks Campus, The Pennsylvania State University, PO Box 7009, Reading, PA 19610-6009, USA
Correspondence e-mail: u3c@psu.edu

Table 1.1.3 | top | pdf |
Graphical symbols

(a) Symmetry planes normal to the plane of projection (three dimensions) and symmetry lines in the plane of the figure (two dimensions).

Symmetry plane or symmetry line	Glide vectors in units of lattice translation vectors parallel and normal to the projection plane	Printed symbol
Mirror plane, mirror line	None	m
Glide plane, glide line	½ along line parallel to projection plane; ½ along line in plane	a, b or c; g
Glide plane	½ normal to projection plane	c

(b) Symmetry planes parallel to plane of projection.

Symmetry plane	Glide vector in units of lattice translation vectors parallel to the projection plane	Printed symbol
Mirror plane	None	m
Glide plane	½ in the direction of arrow	a, b or c
`Double' glide plane	Two glide vectors; ½ in either of the directions of the two arrows	e
`Diagonal' glide plane	½ in the direction of the arrow	n

(c) Symmetry axes normal to the plane of projection (three dimensions) and symmetry points in the plane of the figure (two dimensions).

Symmetry axis or symmetry point	Screw vector of a right-handed screw rotation in units of the shortest lattice translation vector parallel to the axis	Printed symbol
Twofold rotation axis, twofold rotation point	None	2
Twofold screw axis: `2 sub 1'	$[\textstyle{1 \over 2}]$	2₁
Threefold rotation axis	None	3
Threefold screw axis: `3 sub 1'	$[\textstyle{1 \over 3}]$	3₁
Threefold screw axis: `3 sub 2'	$[\textstyle{2 \over 3}]$	3₂
Fourfold rotation axis	None	4
Fourfold screw axis: `4 sub 1'	$[\textstyle{1 \over 4}]$	4₁
Fourfold screw axis: `4 sub 2'	$[\textstyle{1 \over 2}]$	4₂
Fourfold screw axis: `4 sub 3'	$[\textstyle{3 \over 4}]$	4₃
Sixfold rotation axis	None	6
Sixfold screw axis: `6 sub 1'	$[\textstyle{1 \over 6}]$	6₁
Sixfold screw axis: `6 sub 2'	$[\textstyle{1 \over 3}]$	6₂
Sixfold screw axis: `6 sub 3'	$[\textstyle{1 \over 2}]$	6₃
Sixfold screw axis: `6 sub 4'	$[\textstyle{2 \over 3}]$	6₄
Sixfold screw axis: `6 sub 5'	$[\textstyle{5 \over 6}]$	6₅
Centre of symmetry, inversion centre: `1 bar'	None	$[\bar{1}]$
Twofold rotation axis with centre of symmetry	None	2/m
Twofold screw axis with centre of symmetry	$[\textstyle{1 \over 2}]$	2₁/m
Inversion axis: `3 bar'	None	$[\bar{3}]$
Inversion axis: `4 bar'	None	$[\bar{4}]$
Fourfold rotation axis with centre of symmetry	None	4/m
`4 sub 2' screw axis with centre of symmetry	$[\textstyle{1 \over 2}]$	4₂/m
Inversion axis: `6 bar'	None	$[\bar{6}]$
Sixfold rotation axis with centre of symmetry	None	6/m
`6 sub 3' screw axis with centre of symmetry	$[\textstyle{1 \over 2}]$	6₃/m

(d) Symmetry axes parallel to plane of projection.

Symmetry axis	Graphical symbol	Screw vector of a right-handed screw rotation in units of the shortest lattice translation vector parallel to the axis	Printed symbol
Twofold rotation axis		None	2
Twofold screw axis		$[\textstyle{1 \over 2}]$	2₁