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Small‐angle scattering of polychromatic X‐rays: effects of bandwidth,spectral shape and high harmonics
Authors:Sen Chen  Sheng-Nian Luo
Affiliation:1. The Peac Institute of Multiscale Sciences, Chengdu, Sichuan610031, People's Republic of China;2. Key Laboratory of Advanced Technologies of Materials, Ministry of Education, Southwest Jiaotong University, Chengdu, Sichuan610031, People's Republic of China
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.
Keywords:SAXS  polychromatic  size distribution  undulator light source
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