Neither Sphere nor Cube—Analyzing the Particle Shape Using Small-Angle Scattering and the Superball Model

2021 ◽  
Author(s):  
Dominique Dresen ◽  
Asma Qdemat ◽  
Seda Ulusoy ◽  
Flore Mees ◽  
Dominika Zákutná ◽  
...  
Keyword(s):  
Small Angle ◽  
Particle Shape ◽  
Small Angle Scattering ◽  
Angle Scattering

Information retrieval from X-ray small-angle scattering with polychromatic (`white') synchrotron radiation

1983 ◽  
Vol 16 (1) ◽  
pp. 42-46 ◽  
Author(s):  
O. Glatter ◽  
P. Laggner
Keyword(s):  
Synchrotron Radiation ◽  
Small Angle ◽  
Particle Shape ◽  
Structural Information ◽  
Small Angle Scattering ◽  
Radius Of Gyration ◽  
X Ray ◽  
Angle Scattering ◽  
Slit Length ◽  
Hinge Bending

The possibilities of obtaining structural information from X-ray small-angle scattering experiments with `white' polychromatic synchrotron radiation using line collimation are investigated by numerical simulation. Theoretical scattering curves of geometrical models were smeared with the appropriate wavelength distributions and slit-length functions, afflicted by statistical noise, and then evaluated by identical methods as normally used for experimental data, as described previously [program ITP; Glatter (1977). J. Appl. Cryst. 10, 415–421]. It is shown that even for a wavelength distribution of 50% half width, the information content is not limited to the parameters derived from the central part of the scattering curves, i.e. the radius of gyration and the zero-angle intensity, but also allows qualitative information on particle shape via the distance distribution function p(r). By a `hinge-bending model' consisting of two cylinders linked together at different angles it is demonstrated that changes in the radius of gyration amounting to less than 5% can be detected and quantified, and the qualitative changes in particle shape be reproduced.

scholarly journals DAMMIF, a program for rapidab-initioshape determination in small-angle scattering

2009 ◽  
Vol 42 (2) ◽  
pp. 342-346 ◽  
Author(s):  
Daniel Franke ◽  
Dmitri I. Svergun
Keyword(s):  
Small Angle ◽  
Particle Shape ◽  
Small Angle Scattering ◽  
Binary Form ◽  
Scattering Data ◽  
Search Volume ◽  
Angle Scattering ◽  
Shape Determination ◽  
Equivalent Conditions

DAMMIF, a revised implementation of theab-initioshape-determination programDAMMINfor small-angle scattering data, is presented. The program was fully rewritten, and its algorithm was optimized for speed of execution and modified to avoid limitations due to the finite search volume. Symmetry and anisometry constraints can be imposed on the particle shape, similar toDAMMIN. In equivalent conditions,DAMMIFis 25–40 times faster thanDAMMINon a single CPU. The possibility to utilize multiple CPUs is added toDAMMIF. The application is available in binary form for major platforms.

scholarly journals Neither Sphere nor Cube - Analyzing the Particle Shape Using Small-Angle Scattering and the Superball Model

2021 ◽  
Author(s):  
Dominique Dresen ◽  
Asmaa Qdemat ◽  
Dominika Zákutná ◽  
Erik Wetterskog ◽  
Emmanuel Kentzinger ◽  
...  
Keyword(s):  
Form Factor ◽  
Small Angle ◽  
Particle Shape ◽  
Small Angle Scattering ◽  
Scattering Data ◽  
Monodisperse Nanoparticles ◽  
Statistical Relevance ◽  
Angle Scattering ◽  
Microscopy Data ◽  
User Friendly

<div>Accurate characterization of the nanocrystal shape with high statistical relevance is essential for exploiting the strongly shape-dependent properties of cuboidal nanoparticles towards applications. <br></div><div>This work presents the development of a new small-angle scattering form factor based on the superball geometry. The superball quantifies the characteristic rounding of corners and edges of cuboidalnanoparticles with a single parameter. Applied to small-angle scattering data of sufficiently monodisperse nanoparticles, the superball form factor enables differentiation between the effects of extended<br></div>particle size distribution and irregular particle shape. The quantitative application of the superball form factor is validated against microscopy data for a series of monodisperse nanoparticles and implemented into the user-friendly, open source software Sasview.

scholarly journals Neither Sphere nor Cube - Analyzing the Particle Shape Using Small-Angle Scattering and the Superball Model

2021 ◽  
Author(s):  
Dominique Dresen ◽  
Asmaa Qdemat ◽  
Dominika Zákutná ◽  
Erik Wetterskog ◽  
Emmanuel Kentzinger ◽  
...  
Keyword(s):  
Form Factor ◽  
Small Angle ◽  
Particle Shape ◽  
Small Angle Scattering ◽  
Scattering Data ◽  
Monodisperse Nanoparticles ◽  
Statistical Relevance ◽  
Angle Scattering ◽  
Microscopy Data ◽  
User Friendly

<div>Accurate characterization of the nanocrystal shape with high statistical relevance is essential for exploiting the strongly shape-dependent properties of cuboidal nanoparticles towards applications. <br></div><div>This work presents the development of a new small-angle scattering form factor based on the superball geometry. The superball quantifies the characteristic rounding of corners and edges of cuboidalnanoparticles with a single parameter. Applied to small-angle scattering data of sufficiently monodisperse nanoparticles, the superball form factor enables differentiation between the effects of extended<br></div>particle size distribution and irregular particle shape. The quantitative application of the superball form factor is validated against microscopy data for a series of monodisperse nanoparticles and implemented into the user-friendly, open source software Sasview.

Small angle scattering study of silica gels and zeolites

1993 ◽  
Vol 03 (C8) ◽  
pp. C8-393-C8-396
Author(s):  
T. P.M. BEELEN ◽  
W. H. DOKTER ◽  
H. F. VAN GARDEREN ◽  
R. A. VAN SANTEN ◽  
E. PANTOS
Keyword(s):  
Small Angle ◽  
Small Angle Scattering ◽  
Silica Gels ◽  
Angle Scattering ◽  
Scattering Study
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