Can Kinematic Diffraction Distinguish Order from Disorder?

Details Can Kinematic Diffraction Distinguish Order from Disorder? Can Kinematic Diffraction Distinguish Order from Disorder?

2008-10-31

arxiv.org/abs/0810.5750v2

Physical Review B 79 (2009) 020203 (Rapid Communication)

Physics

Mathematical Physics

5 pages, 1 figure; two typos in the recursion relations for the autocorrelation coefficients were corrected

Scientific paper

10.1103/PhysRevB.79.020203

Diffraction methods are at the heart of structure determination of solids. While Bragg-like scattering (pure point diffraction) is a characteristic feature of crystals and quasicrystals, it is not straightforward to interpret continuous diffraction intensities, which are generally linked to the presence of disorder. However, based on simple model systems, we demonstrate that it may be impossible to draw conclusions on the degree of order in the system from its diffraction image. In particular, we construct a family of one-dimensional binary systems which cover the entire entropy range but still share the same purely diffuse diffraction spectrum.

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