Figure 2
Schematic representation of three manifestations of a modulated structure with lost translational symmetry along the a axis. All three drawings in (a) are derived from the periodic structure shown in Fig. 1 by shifting or rotating the molecules. The atomic modulation functions suitable for the description of the modulated atomic positions are shown as an overlay: in the top drawing the molecules are shifted up and down parallel to c in a continuous harmonic (sinusoidal) way (red curve); in the middle drawing the molecules are rotated around an axis parallel to a, the rotation angle can be described using a sawtooth function (blue) with a discontinuity between molecules 8 and 1; in the bottom drawing the molecule adopts two different orientations which can be described by a step-like crenel function (green). Note that the modulation proceeds only along a, the c direction is not affected. (b) In the associated schematic diffraction pattern additional reflections (grey circles) appear along a*. The number of satellite reflections and their intensity distribution depend on the strength and nature of the modulation. For simplicity, only one diffraction scheme was drawn. |