Premium
Indirect Fourier Transform and Model Fitting of Small Angle Neutron Scattering from Silica Nanoparticles
Author(s) -
Hould Nathan,
Lobo Raul,
Wagner Norman
Publication year - 2010
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.201000006
Subject(s) - fourier transform , structure factor , yukawa potential , small angle neutron scattering , range (aeronautics) , spheres , scattering , materials science , neutron scattering , particle (ecology) , small angle scattering , fourier transform infrared spectroscopy , nanoparticle , molecular physics , biological small angle scattering , physics , optics , condensed matter physics , nanotechnology , composite material , oceanography , quantum mechanics , astronomy , geology , particle physics
Small angle neutron scattering (SANS) patterns from spheroidal silica nanoparticles (〈 D 〉 = 27.5 nm) dispersed in water at volume fractions ranging from 0.01 to 0.315 were interpreted using model fitting and indirect Fourier transform methods. By modeling the effective structure factor using a two‐Yukawa potential it was determined that the particles interact through weak long range attractive and shorter range repulsive inter‐particle forces. For weakly‐interacting particles (∼ 0.01 v/v) analysis of SANS patterns using a polydisperse spheres form factor is simple and accurate. However, we find that the indirect Fourier transform is a more robust method to calculate the radial distribution function for interacting particles over a broad range of particle concentrations.