Scattering curves of ordered mesoscopic materials

被引：235

作者：

Förster, S

Timmann, A

Konrad, M

Schellbach, C

Meyer, A

Funari, SS

Mulvaney, P

Knott, R

机构：

[1] Univ Hamburg, Inst Phys Chem, D-20146 Hamburg, Germany

[2] DESY, HASYLAB, D-22603 Hamburg, Germany

[3] Univ Melbourne, Sch Chem, Parkville, Vic 3010, Australia

[4] Australian Nucl Sci & Technol Org, Menai, NSW 2234, Australia

来源：

JOURNAL OF PHYSICAL CHEMISTRY B | 2005年 / 109卷 / 04期

关键词：

D O I：

10.1021/jp0467494

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

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.

引用

页码：1347 / 1360

页数：14

共 40 条

[1] PERCUS-YEVICK EQUATION FOR HARD SPHERES WITH SURFACE ADHESION [J].