Open AccessSmall‐angle scattering of polychromatic X‐rays: effects of bandwidth, spectral shape and high harmonics
Author(s) -
Chen Sen,
Luo Sheng-Nian
Publication year - 2018
Publication title -
journal of synchrotron radiation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.172
H-Index - 99
ISSN - 1600-5775
DOI - 10.1107/s1600577517018355
Subject(s) - harmonics , optics , scattering , bandwidth (computing) , physics , small angle x ray scattering , small angle scattering , spectral shape analysis , computational physics , materials science , spectral line , computer science , telecommunications , quantum mechanics , astronomy , voltage
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.