| Abstract
| - Analytical expressions for the scattering functions of ordered mesoscopic materials are derived and comparedto experimentally determined scattering curves. Ordered structures comprising spheres (fcc, bcc, hcp, sc),cylinders (hex, sq), and lamellar structures are considered. The expressions take into account particle sizedistributions and lattice point deviations, domain size, core/shell structures, as well as peak shapes varyinganalytically between Lorentzian and Gaussian functions. The expressions allow one to quantitatively describehigh-resolution synchrotron small-angle X-ray (SAXS) and neutron scattering (SANS) curves from lipid andblock copolymer lyotropic phases, core/shell nanoparticle superstructures, ordered nanocomposites, and orderedmesoporous materials. In addition, the diffuse out-of-plane scattering of grazing incidence GISAXS andGISANS experiments of laterally ordered thin films can be quantitatively analyzed.
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