Simple inversion formula for the small-angle X-ray scattering intensity from polydisperse systems of spheres
(2012) In Journal of Applied Crystallography 45. p.406-416- Abstract
- A practical inversion method to calculate the size distribution of colloidal homogeneous particles from small-angle scattering experiments is presented. It is based on the analysis of the deviations of the scattering signal from the Porod law. The resulting inversion formula provides a reliable way to assess complex size distributions such as power-law, multimodal or very broad distributions. It is particularly suitable for colloidal dispersions that have a substantial fraction of very small particles. These cases correspond to large deviations from the Porod law over a broad range of scattering vector values, q. Shannon's theorem gives a way to obtain the maximum amount of information concerning the size distribution, without requiring an... (More)
- A practical inversion method to calculate the size distribution of colloidal homogeneous particles from small-angle scattering experiments is presented. It is based on the analysis of the deviations of the scattering signal from the Porod law. The resulting inversion formula provides a reliable way to assess complex size distributions such as power-law, multimodal or very broad distributions. It is particularly suitable for colloidal dispersions that have a substantial fraction of very small particles. These cases correspond to large deviations from the Porod law over a broad range of scattering vector values, q. Shannon's theorem gives a way to obtain the maximum amount of information concerning the size distribution, without requiring an arbitrary extrapolation of the data beyond the available q range. It is demonstrated that this protocol yields a calculated distribution of particle sizes that is stable. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2906548
- author
- Botet, Robert and Cabane, Bernard LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Applied Crystallography
- volume
- 45
- pages
- 406 - 416
- publisher
- International Union of Crystallography
- external identifiers
-
- wos:000304402500005
- scopus:84861494911
- ISSN
- 1600-5767
- DOI
- 10.1107/S0021889812012812
- language
- English
- LU publication?
- yes
- id
- 40df176b-32bb-4ad0-92d2-07cbbbd87707 (old id 2906548)
- date added to LUP
- 2016-04-01 10:27:52
- date last changed
- 2022-01-25 23:26:21
@article{40df176b-32bb-4ad0-92d2-07cbbbd87707,
abstract = {{A practical inversion method to calculate the size distribution of colloidal homogeneous particles from small-angle scattering experiments is presented. It is based on the analysis of the deviations of the scattering signal from the Porod law. The resulting inversion formula provides a reliable way to assess complex size distributions such as power-law, multimodal or very broad distributions. It is particularly suitable for colloidal dispersions that have a substantial fraction of very small particles. These cases correspond to large deviations from the Porod law over a broad range of scattering vector values, q. Shannon's theorem gives a way to obtain the maximum amount of information concerning the size distribution, without requiring an arbitrary extrapolation of the data beyond the available q range. It is demonstrated that this protocol yields a calculated distribution of particle sizes that is stable.}},
author = {{Botet, Robert and Cabane, Bernard}},
issn = {{1600-5767}},
language = {{eng}},
pages = {{406--416}},
publisher = {{International Union of Crystallography}},
series = {{Journal of Applied Crystallography}},
title = {{Simple inversion formula for the small-angle X-ray scattering intensity from polydisperse systems of spheres}},
url = {{http://dx.doi.org/10.1107/S0021889812012812}},
doi = {{10.1107/S0021889812012812}},
volume = {{45}},
year = {{2012}},
}