… The Radial Distribution Function Starting in real space (also known as physical space or
direct space), we introduce the radial distribution function [RDF, R(r)]. This function is a scaled …

… The atomic-scale structure, that is, how … Pair distribution functions (PDF)s analysis is a
widely used technique for characterizing the atomicscale structure of materials of limited structural …

… Although pair distribution function (PDF) analysis by neutrons and X-ray scattering profile
has … PXRD is a reliable structure analysis technique with the capacity of accurate structure …

… The local atomic structure of materials may be examined without invoking crystallographic
symmetry using pair distribution function (PDF) analysis. The PDF, which can be determined …

… pair distribution function, G αβ (r), that is equivalent to G(r) but gives the distribution of atom
pairs … between the partial structure functions, S αβ (Q) and the total structure function, S(Q). In …

… The structure is elucidated by iterating between least-squares real-space refinement using
neutron pair distribution function data, and geometry optimisation using density functional …

… [16,44,45] In these cases, the Bragg peaks (XRD) are either totally lost because of a lack
of long-range ordering or are too broad and weak which denies a reliable structural analysis. …

… The pair distribution function method is a technique of local structural analysis in which the
radial distribution function … assuming a periodic structure. In this paper, the necessity of local …

… The lattice parameter of the alloys interpolates linearly between the end member values
as function of the composition x. Conventional structure analysis also results in nearest …

… The overall structure of the particles must be derived from a comparison between the
experimental pair distribution function and a pair distribution function calculated from structural …