Nonstoichiometric ordering of magnesium and niobium cations in undoped
and lanthanum-doped lead magnesium niobate solid solutions has been i
nvestigated by means of high-resolution transmission electron microsco
py and computer image simulation. High-resolution lattice images were
obtained using different objective apertures for various microscope im
aging conditions. Computer image simulations were performed for a wide
range of sample thicknesses, defocusing conditions, local Mg/Nb ratio
s, and long-range order parameters. The simulated images demonstrated
that the lattice images of the ordered region are predominantly depend
ent on the long-range order parameter. By a comparison of the experime
ntal and simulated images, a range of values of the long-range order p
arameter 0.2 less-than-or-equal-to S < 0.8 was obtained for the ordere
d regions. It was also shown that the ordered structure has a (NH4)3Fe
F6 structure, which consists of alternating magnesium- and niobium-pre
ferred sublattices along the [111] directions.