Diffuse scattering and atomic order
1 Department of Physics, Technion - Haifa 32000, Israel
2 Initiative for the Theoretical Sciences, Graduate Center of CUNY - 365 5th Ave, New York, NY 10016, USA
Received: 28 November 2016
Accepted: 28 February 2017
The presence of Bragg scattering is a sufficient indication of order in solids, but is it necessary? We present explicit examples showing that there may be ordered, deterministic atomic structures whose diffraction is entirely diffuse. In particular, we construct a set of structures in two dimensions whose diffraction patterns appear to be indistinguishable from a similarly constructed random structure, and study the statistics of their diffraction pattern numerically.
PACS: 61.43.Er – Other amorphous solids / 61.43.Fs – Glasses / 61.44.Br – Quasicrystals
© EPLA, 2017