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

International Tables for Crystallography (2010). Vol. B, ch. 4.6, p. 599   | 1 | 2 |

Figure 4.6.3.1 

W. Steurera* and T. Haibacha

aLaboratory of Crystallography, Department of Materials, ETH Hönggerberg, HCI G 511, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland
Correspondence e-mail:  walter.steurer@mat.ethz.ch

[Figure 4.6.3.1]
Figure 4.6.3.1

Schematic diffraction patterns for IMSs with (a) 1D, (b) 2D and (c) 3D modulation. The satellite vectors correspond to [{\bf q} = \alpha_{1}{\bf a}_{1}^{*}] in (a), [{\bf q}_{1} = \alpha_{11}{\bf a}_{1}^{*} + (1/2){\bf a}_{2}^{*}] and [{\bf q}_{2} = -\alpha_{12}{\bf a}_{1}^{*} + (1/2){\bf a}_{2}^{*}], where [\alpha_{11} = \alpha_{12}], in (b), and [{\bf q}_{1} = \alpha_{11}{\bf a}_{1}^{*} + \alpha_{31}{\bf a}_{3}^{*}], [{\bf q}_{2} = \alpha_{12}(-{\bf a}_{1}^{*} + {\bf a}_{2}^{*})\ +] [ \alpha_{32}{\bf a}_{3}^{*}], [{\bf q}_{3} = -\alpha_{13}{\bf a}_{2}^{*} + \alpha_{33}{\bf a}_{3}^{*}], where [\alpha_{11} = \alpha_{12} = \alpha_{13}] and [\alpha_{31} =] [ \alpha_{32} = \alpha_{33}], in (c). The areas of the circles are proportional to the reflection intensities. Main (filled circles) and satellite (open circles) reflections are indexed (after Janner et al., 1983b[link]).