Universität zu Köln

Foster, Tobias (2011). Universal Analytical Scattering Form Factor for Shell-, Core-Shell, or Homogeneous Particles with Continuously Variable Density Profile Shape. J. Phys. Chem. B, 115 (34). S. 10207 - 10218. WASHINGTON: AMER CHEMICAL SOC. ISSN 1520-6106

Full text not available from this repository.

Abstract

A novel analytical and continuous density distribution function with a widely variable shape is reported and used to derive an analytical scattering form factor that allows us to universally describe the scattering from particles with the radial density profile of homogeneous spheres, shells, or core-shell particles. Composed by the sum of two Fermi-Dirac distribution functions, the shape of the density profile can be altered continuously from step-like via Gaussian-like or parabolic to asymptotically hyperbolic by varying a single shape parameter, d. Using this density profile, the scattering form factor can be calculated numerically. An analytical form factor can be derived using an approximate expression for the original Fermi-Dirac distribution function. This approximation is accurate for sufficiently small rescaled shape parameters, d/R (R being the particle radius), up to values of d/R approximate to 0.1, and thus captures step-like, Gaussian-like, and parabolic as well as asymptotically hyperbolic profile shapes. It is expected that this form factor is particularly useful in a model-dependent analysis of small-angle scattering data since the applied continuous and analytical function for the particle density profile can be compared directly with the density profile extracted from the data by model free approaches like the generalized inverse Fourier transform method.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Foster, Tobias UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-490066
DOI:	10.1021/jp204136b
Journal or Publication Title:	J. Phys. Chem. B
Volume:	115
Number:	34
Page Range:	S. 10207 - 10218
Date:	2011
Publisher:	AMER CHEMICAL SOC
Place of Publication:	WASHINGTON
ISSN:	1520-6106
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SMALL-ANGLE NEUTRON; BLOCK-COPOLYMER MICELLES; INDIRECT FOURIER TRANSFORMATION; EXCLUDED-VOLUME INTERACTIONS; CLATHRIN-COATED VESICLES; POLYMER-LIKE MICELLES; CONTRAST VARIATION; INTERACTING PARTICLES; NONAQUEOUS DISPERSIONS; DROPLET MICROEMULSIONS Multiple languages Chemistry, Physical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49006