Indirect Fourier Transform and Model Fitting of Small Angle Neutron Scattering from Silica Nanoparticles

Indirect Fourier Transform and Model Fitting of Small Angle Neutron Scattering from Silica Nanoparticles
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二氧化硅纳米颗粒小角中子散射的间接傅立叶变换和模型拟合

DOI:
10.1002/ppsc.201000006
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发表时间:
2010
影响因子:
2.7
通讯作者:
N. Wagner
N. Wagner
中科院分区:
材料科学3区
文献类型:
--
作者:
N. Hould;R. Lobo;N. Wagner

文献摘要

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使用模型拟合和间接傅里叶变换方法解释了体积分数范围为 0.01 至 0.315 的球形二氧化硅纳米颗粒(〈D〉= 27.5 nm)的小角中子散射(SANS)图案。通过使用双汤川势对有效结构因子进行建模,确定粒子通过弱长程吸引力和短程排斥粒子间力相互作用。对于弱相互作用粒子 (∼ 0.01 v/v),使用多分散球体形状因子对 SANS 模式进行分析既简单又准确。然而,我们发现间接傅立叶变换是一种更稳健的方法,可以计算较宽的颗粒浓度范围内相互作用的颗粒的径向分布函数。
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.