Table 9.1.7.1

Burzlaff, H.; Zimmermann, H.

doi:10.1107/97809553602060000517

International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

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International Tables for Crystallography (2006). Vol. A. ch. 9.1, p. 745

Table 9.1.7.1

H. Burzlaff^a and H. Zimmermann^b ^*

^a Universität Erlangen–Nürnberg, Robert-Koch-Strasse 4a, D-91080 Uttenreuth, Germany, and ^bInstitut für Angewandte Physik, Lehrstuhl für Kristallographie und Strukturphysik, Universität Erlangen–Nürnberg, Bismarckstrasse 10, D-91054 Erlangen, Germany
Correspondence e-mail: helmuth.zimmermann@knot.uni-erlangen.de

Table 9.1.7.1 | top | pdf |
Two-dimensional Bravais lattices

Bravais lattice^†	Lattice parameters		Metric tensor			Projections
Bravais lattice^†	Conventional	Primitive/transformation to primitive cell	Conventional	Primitive	Relations of the components	Projections
mp	$[\matrix{a, b\hfill\cr \gamma\hfill\cr}]$	$[\matrix{a, b\hfill\cr \gamma\hfill\cr}]$	$[\matrix{g_{11} &g_{12}\hfill\cr &g_{22}\hfill\cr}]$	$[\matrix{g_{11} &g_{12}\hfill\cr &g_{22}\hfill\cr}]$
op	$[\matrix{a, b\hfill\cr \gamma = 90^{\circ}\hfill\cr}]$	$[\matrix{a, b\hfill\cr \gamma = 90^{\circ}\hfill\cr}]$	$[\matrix{g_{11} &0\hfill\cr &g_{22}\hfill\cr}]$	$[\matrix{g_{11} &0\hfill\cr &g_{22}\hfill\cr}]$
oc	$[\matrix{a, b\hfill\cr \gamma = 90^{\circ}\hfill\cr}]$	$[\matrix{a_{1} = a_{2}\hfill, \gamma\hfill\cr {\bi P}(c)\hfill}]$ ^‡	$[\matrix{g_{11} &0\hfill\cr &g_{22}\hfill\cr}]$	$[\matrix{g'_{11} &g'_{12}\hfill\cr &g'_{22}\hfill\cr}]$	$[\matrix{g'_{11} = {\textstyle{1 \over 4}}(g_{11} + g_{22})\hfill\cr g'_{12} = {\textstyle{1 \over 4}}(g_{11} - g_{22})\hfill\cr g_{11} = 2(g'_{11} + g'_{12})\hfill\cr g_{12} = 2(g'_{11} - g'_{12})\hfill\cr}]$
tp	$[\matrix{a_{1} = a_{2}\hfill\cr \gamma = 90^{\circ}\hfill\cr}]$	$[\matrix{a_{1} = a_{2}\hfill\cr \gamma = 90^{\circ}\hfill\cr}]$	$[\matrix{g_{11} &0\hfill\cr &g_{11}\hfill\cr}]$	$[\matrix{g_{11} &0\hfill\cr &g_{11}\hfill\cr}]$
hp	$[\matrix{a_{1} = a_{2}\hfill\cr \gamma = 120^{\circ}\hfill\cr}]$	$[\matrix{a_{1} = a_{2}\hfill\cr \gamma = 120^{\circ}\hfill\cr}]$	$[\matrix{g_{11} &-{\textstyle{1 \over 2}}\;g_{11}\hfill\cr &g_{11}\hfill\cr}]$	$[\matrix{g_{11} &-{\textstyle{1 \over 2}}\;g_{11}\hfill\cr &g_{11}\hfill\cr}]$