2008/11/07 by Christopher L. Farrow, Simon J. L. Billinge · 217 citations
Earth and Planetary Sciences · Materials Science · Mathematics · Physics and Astronomy · #Computational physics #Crystal Structures and Properties #Distribution (mathematics) #Distribution function #Function (biology) #High-pressure geophysics and materials #Intensity (physics) #Materials science #Mathematical analysis #Mathematics #Molecular physics #Nanoparticle #Nanotechnology #Nonlinear system #Optics #Pair distribution function #Physics #Quantum mechanics #Scattering #Small-angle scattering #Statistical physics #Thermodynamics #X-ray Diffraction in Crystallography #cond-mat.mtrl-sci #cond-mat.other
paper · pdf · doi:10.1107/s0108767309009714
published in Acta Crystallographica Section A Foundations of Crystallography 65(3), 232-239 (Wiley) · 19 pages, 0 figures
arxiv created 2008/11/07 · openalex publication_date 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/05
The relationship between the equations used in the atomic pair distribution function (PDF) method and those commonly used in small-angle-scattering (SAS) analyses is explicitly shown. The origin of the sloping baseline, -4pirrho0, in PDFs of bulk materials is identified as originating from the SAS intensity that is neglected in PDF measurements. The nonlinear baseline in nanoparticles has the same origin, and contains information about the shape and size of the nanoparticles.