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XRD APPLICATION NO
Pair distribution
function analysis
Total scattering experim
using high-energy X-ray
a laboratory system
Introduction
Recent years have shown an increased
interest in the study of nanocrystalline
materials due to their speci?c properties
for application in e.g. semiconductors,
pharmaceuticals and polymers.
Structural information about these
materials is present as broad, not well
de?ned features in a diffractogram.
Analysis of nanomaterials therefore
requires a total scattering approach,
including both Bragg peaks and diffuse
scattering. One of the most promising
analytical methods used is atomic pair
distribution function (PDF) analysis.
Originally, this method was used to
study primarily amorphous and highly
disordered materials. More recently,
it has been used for the analysis of
nanostructured materials. Since the
method requires short wavelengths
to obtain high resolution in real space
(well de?ned interatomic distances),
often the measurements are performed
at synchrotron facilities, making use of
both the high photon energies and the
high photon ?ux that these facilities
offer.
We have investigated the possibility to
apply the pair distribution technique
on an in-house system, using Ag or
Mo Kα radiation. This application note
describes typical results on nanocrystals,
liquids and amorphous materials.
(a)
(b)
0 1 2 3 4 5 6
r [?]
Schematic representation of the construction
of the atomic pair distribution function from a
square array of atoms [2]. The colored circles (a)
indicate the distance from a central atom where
a neighboring atom can be found. The arrows
indicate the corresponding peaks in the pair
distribution function.
Analyzing powder diffraction data
of nanocrystalline and amorphous
materials using the atomic pair
distribution function (PDF) method
provides useful information about
the long- and short-range ordering
of the atoms in the materials. We
have developed the application
of PDF analysis on a standard
laboratory system
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