Premium
Small‐angle scattering of particle assemblies
Author(s) -
Senesi Andrew J.,
Lee Byeongdu
Publication year - 2015
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576715011474
Subject(s) - scattering , decoupling (probability) , formalism (music) , diffraction , physics , lattice (music) , dispersity , small angle scattering , biological small angle scattering , ideal (ethics) , small angle neutron scattering , molecular physics , optics , materials science , statistical physics , condensed matter physics , computational physics , neutron scattering , art , musical , philosophy , epistemology , control engineering , acoustics , visual arts , engineering , polymer chemistry
Small‐angle scattering formulae for crystalline assemblies of arbitrary particles are derived from powder diffraction theory using the decoupling approximation. To do so, the pseudo‐lattice factor is defined, and methods to overcome the limitations of the decoupling approximation are investigated. Further, approximated equations are suggested for the diffuse scattering from various defects of the first kind due to non‐ideal particles, including size polydispersity, orientational disorder and positional fluctuation about their ideal positions. Calculated curves using the formalism developed herein are compared with numerical simulations computed without any approximation. For a finite‐sized assembly, the scattering from the whole domain of the assembly must also be included, and this is derived using the correlation function approach.