H. Norenberg et al., Estimation of radial distribution functions in electron diffraction experiments: physical, mathematical and numerical aspects, J APPL CRYS, 32, 1999, pp. 911-916
Radial distribution functions (RDFs) can be obtained from transmission elec
tron diffraction experiments. Polycrystalline gold specimens have been used
to study how different mathematical methods extract the RDF information fr
om electron diffraction data. Fourier transform (FT) and a maximum-entropy
(ME) algorithm have been used in these calculations. Results obtained by th
e two methods are very similar and reproduce the interatomic distances accu
rately. Between the two methods, FT and ME, no significant difference could
be found. ME calculations are very sensitive towards input parameters wher
eas the FT is a very robust algorithm. Calculations on reduced sets of expe
rimental data with little error margin showed no improvement of resolution
in the RDF calculated by ME.