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Elastic scattering from cubic lattice systems with paracrystalline distortion. II.

The three-dimensional paracrystalline lattice factors Z(q)'s for a face-centered-cubic lattice and a body-centered-cubic lattice, in addition to a simple-cubic lattice, were calculated. The Z(q)'s thus calculated could reproduce the diffraction peaks at the characteristic positions for each cubic lattice system over a fairly wide range of g values (g is the degree of the paracrystalline distortion). In addition to the paracrystalline distortion, the thermal oscillation and crystal size effects were also considered. The numerically calculated profiles were compared with light and small-angle neutron scattering curves for polymer latex dispersions and with small-angle x-ray scattering curves for block copolymer films for quantitative determination of the ordered cubic systems.