Scattering Curves of Ordered Mesoscopic Materials
Top Cited Papers
- 8 January 2005
- journal article
- Published by American Chemical Society (ACS) in The Journal of Physical Chemistry B
- Vol. 109 (4), 1347-1360
- https://doi.org/10.1021/jp0467494
Abstract
Analytical expressions for the scattering functions of ordered mesoscopic materials are derived and compared to 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 size distributions and lattice point deviations, domain size, core/shell structures, as well as peak shapes varying analytically between Lorentzian and Gaussian functions. The expressions allow one to quantitatively describe high-resolution synchrotron small-angle X-ray (SAXS) and neutron scattering (SANS) curves from lipid and block copolymer lyotropic phases, core/shell nanoparticle superstructures, ordered nanocomposites, and ordered mesoporous materials. In addition, the diffuse out-of-plane scattering of grazing incidence GISAXS and GISANS experiments of laterally ordered thin films can be quantitatively analyzed.Keywords
This publication has 26 references indexed in Scilit:
- From Self-Organizing Polymers to Nanohybrid and BiomaterialsAngewandte Chemie-International Edition, 2002
- On the Microporous Nature of Mesoporous Molecular SievesChemistry of Materials, 2001
- Synthesis of PB−PEO and PI−PEO Block Copolymers with Alkyllithium Initiators and the Phosphazene Base t-BuP4Macromolecules, 1999
- Self-Assembly in Mixtures of Poly(vinyl methyl ether) and Polystyrene-block-polyisoprene. 1. Formation of Nanocolloidal SpheresMacromolecules, 1998
- Scattering Functions of Polymeric Core−Shell Structures and Excluded Volume ChainsMacromolecules, 1998
- Structure of the Isotropic, Nematic, and Lamellar Phase of a Solution of Tetramethylammonium Perfluorononanoate in D2OThe Journal of Physical Chemistry, 1995
- Elastic scattering from cubic lattice systems with paracrystalline distortion. IIPhysical Review B, 1990
- A synchrotron X-ray study of competing undulation and electrostatic interlayer interactions in fluid multimembrane lyotropic phasesJournal de Physique, 1988
- Elastic scattering from cubic lattice systems with paracrystalline distortionPhysical Review B, 1987
- Determination of the interface distribution function of lamellar two-phase systemsJournal of Applied Crystallography, 1978