Real-space local structure of disordered matter from fluctuation diffraction
by
Andrew Martin(ARC Centre of Excellence for Advanced Molecular Imaging, School of Physics University of Melbourne)
→
Europe/Berlin
E1.173 (Campus Schenefeld)
E1.173
Campus Schenefeld
Description
Coherent diffraction from a disordered material is a seemingly random, continuous signal, which
fluctuates as the beam is scanned across the sample. Statistical measures of these fluctuations
contain significant information about local structure in the material. The widely used small-angle
and wide-angle x-rays scattering methods (SAXS/WAXS) measure the mean signal that informs
us about two-body real-space correlations, an effectively one dimensional data that gives limited
information about 3D structure. The emerging cross-correlation methods aim to measure higher
order statistics that contain multi-atom information. With electrons, this could be used to remedy
the lack of knowledge about the local structure of amorphous materials, such as glasses. With xray
free-electron lasers it is a potential route to determine the structures of non-crystalline
proteins in an aqueous environment. The drawback is that cross-correlation data is difficult to
interpret structurally. We have discovered a method of transforming cross-correlation data into a
3D real-space angular distribution function, which greatly facilitates direct structural
interpretation. For amorphous matter, the real-space angular distributions contain a clear
indication of the presence of medium range order (>5 Angstroms) and at the bond distance
contain a symmetrised bond-angle distribution. For proteins and biological matter, the angular
functions can provide greater sensitivity to protein conformation and inter-particle correlations
than SAXS. Here we will present the background theory behind the technique and present some
preliminary experimental results. We will discuss practical issues of experimental design such as
resolution, the number of measurements required and expected signal-to-noise.