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

International Tables for Crystallography (2010). Vol. B, ch. 2.5, p. 319   | 1 | 2 |

Table 2.5.3.7 

M. Tanakaf

Table 2.5.3.7| top | pdf |
Symmetries of rectangular four-beam CBED patterns for diffraction groups

 Projection diffraction group
m1R2mm1R
Diffraction group mR m m1R 2mRmR 2mm 2RmmR 2mm1R
Two-dimensional symmetry   m m 2 2mm m 2mm
Three-dimensional symmetry 2′   m′, 2′ 2′   2′, i m′, 2′, i
Zone-axis pattern Bright-field pattern m m 2mm 2mm 2mm m 2mm
Whole-field pattern 1 m m 2 2mm m 2mm
Rectangular four-beam pattern   O 1 1 1 1 1 1 1
G 1 1 1R 1 1 1 1R
F m2 1 m2 m2 1 m2 m2
S 1 1 1 m2 1 1 m2
Three pairs of rectangular four-beam patterns [Scheme scheme15] AB [O_GO_{\bar H}] m2 1 m2 m2 mv mv(m2) mv(m2)
[G\bar H] 1 1 1 mR mv mv mvmR
[F \bar F] 1 1 1 1 mv 2Rmv 2Rmv
SS 1 1 1R 1 mv mv mv1R
AC OGOH 1 mv mv m2 mv′ 1 mv(m2)
GH mR mv mvmR mR mv′ mR mv′mR
FF 1 mv mv1R 1 mv′ 1 mv′1R
[S\bar S] 1 mv mv 1 mv′ 2R 2Rmv′
AD [O_GO_{\bar G}] 1 1 1R 2 2 1 2(1R)
GG 1 1 1 2 2 2R 21R
[F\bar F'] 1 1 1 2mR 2 1 2mR
[S\bar S'] mR 1 mR 2mR 2 mR 2mR
Point group 2, 222, mm2, 4, [\bar 4], 422, 4mm, [\bar 4 2 m], 32, 6, 622, 6mm, [\bar 6m2], 23, 432, [\bar 43m] m, mm2, 4mm, [\bar 42m], 3m, [\bar 6], 6mm, [\bar 6 m 2], [\bar 4 3 m] mm2, 4mm, 42m, 6mm, [\bar 6 m 2], [\bar 4 3 m] 222, 422, [\bar 42m], 622, 23, 432 mm2, [\bar 6 m2] 2/m, mmm, 4/m, 4/mmm, [\bar 3 m], [\bar 6/m], 6/mmm, m3, m3m mmm, 4/mmm, m3, m3m, 6/mmm