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Modern Aspects of Small-Angle Scattering pp 1–56Cite as

Some Fundamental Concepts and Techniques Useful in Small-Angle Scattering Studies of Disordered Solids

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Part of the book series: Nato ASI Series ((ASIC,volume 451))

Abstract

Some concepts important for the analysis of small-angle x-ray and neutron scattering data are reviewed. After the scattering cross sections are discussed, some procedures for calculating the scattered intensity are described. Special attention is devoted to the evaluation of the correlation function of a scatterer, and some important properties of this function are pointed out. Approximate expressions for the scattered intensity for qξ ≪ 1 and qξ ≫ 1 are developed from the general equations for the scattered intensity. [Here ξ is the diameter of the scatterer; q = 4πλ−1sin(θ/2);λ is the scattered wavelength; and θ is the scattering angle.] These concepts and results are applied in a review of some small-angle scattering studies of fractals and disordered solids.

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, University of Missouri, Columbia, MO, 65211, USA

    Paul W. Schmidt

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  1. Paul W. Schmidt
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Editor information

Editors and Affiliations

  1. Department of Chemistry, Syracuse University, Syracuse, New York, USA

    H. Brumberger

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© 1995 Springer Science+Business Media New York

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Schmidt, P.W. (1995). Some Fundamental Concepts and Techniques Useful in Small-Angle Scattering Studies of Disordered Solids. In: Brumberger, H. (eds) Modern Aspects of Small-Angle Scattering. Nato ASI Series, vol 451. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8457-9_1

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  • DOI: https://doi.org/10.1007/978-94-015-8457-9_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4499-0

  • Online ISBN: 978-94-015-8457-9

  • eBook Packages: Springer Book Archive

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