Relationship between the atomic pair distribution function and small-angle scattering: implications for modeling of nanoparticles
The atomic-pair distribution function (PDF) is emerging as a powerful tool for studying structure on the nanoscale. Small-angle scattering (SAS) also yields information about nanoscale density fluctuations in materials. This article presents a complete re-derivation of the PDF equations revealing the formal connection to the SAS equations and facilitating the combination of these methods. The SAS information is of particular value when modeling discrete nanoparticles as it yields the shape of the PDF baseline.
C.L. Farrow and S.J.L. Billinge