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 2.5.3.6 

M. Tanakaf

Table 2.5.3.6| top | pdf |
Symmetries of square four-beam CBED patterns for diffraction groups

 Projection diffraction group
41R4mm1R
Diffraction group 4 4R 41R 4mRmR 4mm 4RmmR 4mm1R
Two-dimensional symmetry 4 (2) 4 4 4mm (2mm) 4mm
Three-dimensional symmetry   [\bar 4] m′, (i, [\bar 4]) 2′   [\bar 4], 2′ m′, (i, 2′, [\bar 4])
Zone-axis pattern Bright-field pattern 4 4 4 4mm 4mm 4mm 4mm
Whole-field pattern 4 2 4 4 4mm 2mm 4mm
Square four-beam pattern   O 1 1 1 m2 mv m2 mv mv(m2)
G 1 1 1R m2 mv m2 mv 1Rmv(m2)
F 1 1 1 m2 1 1 m2 m2
FF 1 4R 4R 1 mv 4R 4Rmv 4Rmv
Two pairs of square four-beam patterns [Scheme scheme14] AB ±O 2 2 2(1R) 2m2 2mv′ 2m2 2mv′ 2(1R)mv(m2)
±G 2 2 21R 2mR 2mv′ 2mR 2mv′ 21Rmv(mR)
FF 2 2 2 2mR 2 2 2mR 2mR
±F 1 4R 4R 1 mv′ 4R 4Rmv′ 4Rmv
AC OO 4 4 4 4m2 4mv′′ 4mv 4m2 4mv′′(m2)
GG 4 4R 41R 4mR 4mv′′ 4Rmv 4RmR 41Rmv′′(mR)
FS 4 1 4 4mR 4 mR 1 41Rmv′′(mR)
FS 1 1 1R 1 mv′′ mv 1 1Rmv′′
Point group 4 [\bar 4] 4/m 432, 422 4mm [\bar 4 3 m], [\bar 4 2 m] m3m, 4/mmm