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

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Title: Small‐angle scattering of polychromatic X‐rays: effects of bandwidth, spectral shape and high harmonics.
Authors: Chen, Sen1, Luo, Sheng-Nian1,2
Source: Journal of Synchrotron Radiation. Mar2018, Vol. 25 Issue 2, p496-504. 8p.
Subjects: Small-angle X-ray scattering, Polychromy, Light sources, Bandwidths, Spectral theory, Electrical harmonics, Gaussian processes
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. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Synchrotron Radiation is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Synchrotron+Radiation%22">Journal of Synchrotron Radiation</searchLink>. Mar2018, Vol. 25 Issue 2, p496-504. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Small-angle+X-ray+scattering%22">Small-angle X-ray scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Polychromy%22">Polychromy</searchLink><br /><searchLink fieldCode="DE" term="%22Light+sources%22">Light sources</searchLink><br /><searchLink fieldCode="DE" term="%22Bandwidths%22">Bandwidths</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+theory%22">Spectral theory</searchLink><br /><searchLink fieldCode="DE" term="%22Electrical+harmonics%22">Electrical harmonics</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+processes%22">Gaussian processes</searchLink>
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  Data: 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 <italic>via</italic> 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Synchrotron Radiation is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1107/S1600577517018355
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 496
    Subjects:
      – SubjectFull: Small-angle X-ray scattering
        Type: general
      – SubjectFull: Polychromy
        Type: general
      – SubjectFull: Light sources
        Type: general
      – SubjectFull: Bandwidths
        Type: general
      – SubjectFull: Spectral theory
        Type: general
      – SubjectFull: Electrical harmonics
        Type: general
      – SubjectFull: Gaussian processes
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      – TitleFull: Small‐angle scattering of polychromatic X‐rays: effects of bandwidth, spectral shape and high harmonics.
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              Text: Mar2018
              Type: published
              Y: 2018
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