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Small-Angle Scattering from Confined and Interfacial Fluids pp 109–138Cite as

Fundamentals of Data Analysis

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Abstract

The aim of SAS experiments is to extract volume-averaged information on the spatial distribution of scattering length density (neutrons) or the electron density (x-rays) in the sample from the measured differential cross section as a function of scattering vector. Correlation functions can be calculated directly from the SAS data and deliver information on the sample structure. This chapter begins with a brief description of the mathematical form and geometrical meaning of correlation functions, which enter theory of scattering from the two-phase random systems. Asymptotic behavior of scattering in the limit of low and high values of the scattering vector is considered, together with the unified scattering function, which bridges the Guinier and Porod scattering regimes. The rest of the chapter deals with the scattering theory from fractal systems and possible extension of the theory of scattering from the two-phase to multiphase systems.

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  1. Biology and Soft Matter Sciences Division Neutron Scattering Directorate, Oak Ridge National Laboratory, Oak Ridge, TN, USA

    Yuri B. Melnichenko

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  1. Yuri B. Melnichenko
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Melnichenko, Y.B. (2016). Fundamentals of Data Analysis. In: Small-Angle Scattering from Confined and Interfacial Fluids. Springer, Cham. https://doi.org/10.1007/978-3-319-01104-2_6

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