Cam. Carvalho et al., ELECTRON-DENSITY MAPS FOR THE SI(1-1-1) 7X7 SURFACE CALCULATED WITH THE MAXIMUM-ENTROPY TECHNIQUE USING X-RAY AND ELECTRON-DIFFRACTION DATA, Physica. B, Condensed matter, 221(1-4), 1996, pp. 469-486
Maximum-entropy electron-density maps have been calculated for the fir
st time for a two-dimensional surface structure using X-ray and electr
on-diffraction data. The maps clearly resolve all the 102 atoms of the
Takayanagi dimer-adatom-stacking-fault model. The atomic positions de
termined from the map are in good agreement with those from a least-sq
uares refinement, Electron bondings between atoms are not apparent in
the maps due to insufficient data quality, The reliability of the maxi
mum-entropy method is discussed, It is shown that the calculation proc
edure must be continued to values of chi(2) < 1 in most cases, A metho
d to estimate the uncertainty in the density values and to identify re
liable features in the maps is presented. It is shown that the maximum
-entropy method is a promising technique to obtain detailed structure
information from a small number of accurate structure factors,