We have grown Na beta''-alumina crystals while allowing a fast evapora
tion rate of the melt from an open crucible. Preferential evaporation
of Na2O leads to beta''-phase crystals stabilized by the magnesium con
tent but with a lower sodium concentration than that previously report
ed for the beta''-phase. Oxygen vacancies are present in the conductio
n planes in order to maintain charge balance. The lower sodium content
, possibly coupled with a non-equilibrium magnesium configuration, lea
ds to a conduction plane structure different from the a root 3 X a roo
t 3 superlattice found by other workers. We have performed single-crys
tal X-ray diffraction to determine the structure of this ion deficient
Na beta''-alumina. The results help to explain the properties of our
divalent crystals reported previously and give further insight into th
e mechanisms controlling conduction ion ordering in beta'' aluminas.