Calculation of scattering-patterns of ordered nano- and mesoscale materials

被引:64
作者
Foerster, S. [1 ]
Fischer, S. [2 ]
Zielske, K. [2 ]
Schellbach, C. [2 ]
Sztucki, M. [3 ]
Lindner, P. [4 ]
Perlich, J. [5 ]
机构
[1] Univ Bayreuth, D-95447 Bayreuth, Germany
[2] Univ Hamburg, Inst Phys Chem, D-20146 Hamburg, Germany
[3] European Synchrotron Radiat Facil, F-38043 Grenoble 9, France
[4] Inst Laue Langevin, F-38042 Grenoble 9, France
[5] DESY, HASYLAB, D-22603 Hamburg, Germany
关键词
Scattering; Self-assembly; Ordering; Liquid crystals; Block copolymers; ANGLE NEUTRON-SCATTERING; ASSEMBLED NANOCOMPOSITE FILMS; X-RAY; PREFERRED ORIENTATION; DIBLOCK COPOLYMERS; PHASES; POLYISOPRENE; DIFFRACTION; MORPHOLOGY; INTERPLAY;
D O I
10.1016/j.cis.2010.12.003
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 patterns of ordered nano- and mesoscopic materials are derived and compared to measured scattering patterns. Ordered structures comprising spheres (fcc, bcc, hcp, Sc, and bct), cylinders (hex and sq), lamellae (lam) and vesicles, as well as bicontinuous cubic structures (Ia3d, Pn3m, and Im3m) are considered. The expressions take into account unit cell dimensions, particle sizes and size distributions, lattice point deviations, finite domain sizes, orientational distributions, core/shell-structures as well a variety of peak shapes. The expressions allow to quantitatively describe, model and even fit measured SAXS and SANS-patterns of ordered or oriented micellar solutions, lyotropic phases, block copolymers, colloidal solutions, nanocomposites, photonic crystals, as well as mesoporous materials. (C) 2011 Published by Elsevier B.V.
引用
收藏
页码:53 / 83
页数:31
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