Interactive Tutorial about Diffraction
Diffuse scattering: Transversal waves

Diffuse scattering
Thermal I
Thermal II
Occupational I
Occupational II
Longitudinal waves
Transversal waves
Short range order
Stacking faults

Interactive examples
Displacement waves
Short range order
Stacking faults


This example shows the effect of a transverse wave. The ideal crystal consists of a primitive cubic structure with one atom at 0,0,0. A transverse wave with wave vector displaces the atoms. The wave is characterized by:

wave vector   [100]
wave length   27A     5.2 unit cells
oscillation   [010]
amplitude     0.5A    0.1 unit cells

The left image shows a part of the crystal, 30*30 unit cells were used for the calculation. The right image shows one quadrant of reciprocal space.

The satellite vector is 0.19 0 0, parallel to the wave vector in real space. Its absolute value is inversely proportional to the wave length. The intensity of the satellite reflections depends on the amplitude of the displacement. Contrary to the last example, now the satellites around the h00 reflections are systematically extinct. Here the term h ( u - < u > ) equals zero and no deviation from the averaged structure can be observed. Imagine the structure projected onto the 100 line. This projection is identical to that of a undisturbed crystal and accordingly the h00 reflections are identical.

© Th. Proffen and R.B. Neder, 2003