We report detailed studies of the incommensurate phase of lead oxide a
lpha-PbO using neutron and x-ray scattering as well as electron-diffra
ction techniques. Comparison of the structural evolution of alpha-PbO
with those of two isostructural compounds, Pbr(1-x)TiO(x)O (4.5<x< 8 m
ol %) and tin oxide SnO, has been made. The experimental results clear
ly suggest that the incommensurate phase observed in alpha-PbO is of t
he displacive type, induced by the softening of a lattice phonon mode.
Using a simple ionic approximation we have studied the localization o
f the lone pairs inside the structures of the three isotypic compounds
using a simple model of competing Coulomb interactions which leads to
unstable positions of Pb2+ and O2- ions in the average structure. The
stability of the incommensurate phase down to the lowest temperatures
seems to be favored by the frustration arising from the next-nearest-
neighbor Coulomb interaction.