Small-angle scattering of polychromatic X-rays: effects of bandwidth, spectral shape and high harmonics

Journal of Synchrotron Radiation
Sen Chen, Sheng Nian Luo

Abstract

Polychromatic X-ray sources can be useful for photon-starved small-angle X-ray scattering given their high spectral fluxes. Their bandwidths, however, are 10-100 times larger than those using monochromators. To explore the feasibility, ideal scattering curves of homogeneous spherical particles for polychromatic X-rays are calculated and analyzed using the Guinier approach, maximum entropy and regularization methods. Monodisperse and polydisperse systems are explored. The influence of bandwidth and asymmetric spectra shape are explored via Gaussian and half-Gaussian spectra. Synchrotron undulator spectra represented by two undulator sources of the Advanced Photon Source are examined as an example, as regards the influence of asymmetric harmonic shape, fundamental harmonic bandwidth and high harmonics. The effects of bandwidth, spectral shape and high harmonics on particle size determination are evaluated quantitatively.

References

Jan 2, 2009·Accounts of Chemical Research·Hyotcherl Ihee
May 2, 2009·The Review of Scientific Instruments·Andreas TimmannBruno Lengeler
Apr 26, 2014·Journal of Synchrotron Radiation·Maxim PolikarpovAnatoly Snigirev
Nov 28, 2015·Scientific Reports·Felix LehmkühlerGerhard Grübel
Dec 29, 2016·Proceedings of the National Academy of Sciences of the United States of America·Yujie ChenLois Pollack

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Citations

Sep 7, 2019·Journal of Synchrotron Radiation·Sen ChenSheng Nian Luo

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