Relationship between the atomic pair distribution function and small angle scattering: implications for modeling of nanoparticles

Details Relationship between the atomic pair distribution function and small angle scattering: implications for modeling of nanoparticles Relationship between the atomic pair distribution function and small angle scattering: implications for modeling of nanoparticles

2008-11-07

arxiv.org/abs/0811.1140v1

Physics

Condensed Matter

Materials Science

19 pages, 0 figures

Scientific paper

10.1107/S0108767309009714

Here we show explicitly the relationship between the functions used in the atomic pair distribution function (PDF) method and those commonly used in small angle scattering (SAS) analyses. The origin of the sloping baseline, $-4\pi r\rho_0$, in PDFs of bulk materials is identified as originating from the SAS intensity that is neglected in PDF measurements. The non-linear baseline in nanoparticles has the same origin, and contains information about the shape and size of the nanoparticles.

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