Extended range X-ray pair distribution functions

C. J. Benmore, O. L.G. Alderman, D. Robinson, G. Jennings, A. Tamalonis, J. Ilavsky, E. Clark, E. Soignard, J. L. Yarger, J. K.R. Weber

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Here we describe a dual detector system for high-energy X-ray, simultaneous, small and wide-angle X-ray scattering (SAXS and WAXS), designed to extract extended-range pair distribution functions (ER-PDF) for disordered materials. The hardware and software provides continuous reciprocal space coverage over atomic to nanometer length-scales. Details of the varying resolution, splicing of data and normalization on an absolute scale are outlined. In addition, the combination of SAXS and WAXS theory is considered with a view to enabling a direct Fourier transformation of the structure factor spanning multiple length-scales into real space. Important distinctions between the ER-PDF and the pair distance distribution function (PDDF) representations are demonstrated. It is shown that when the SAXS intensity in the structure factor, S(Q), is similar to the WAXS intensity, the contributions to the ER-PDF are minimal. However, when the SAXS S(Q) intensities are substantially stronger than the WAXS, the ER-PDF can provide important structural information on the local, intermediate and nanometer length-scales. Notably, the ER-PDF method provides direct information on particle sizes and their density distributions, overcoming the limitations of PDDF analysis for densely packed systems.


  • Disordered materials
  • Pair distance distribution function
  • Pair distribution function
  • Small angle scattering
  • Wide angle scattering
  • X-ray diffraction

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Instrumentation


Dive into the research topics of 'Extended range X-ray pair distribution functions'. Together they form a unique fingerprint.

Cite this