A method of forming rare earth oxide nanocrystals include the steps of
dissolving a rare earth including compound in a solution containing at
least one organic solvent, heating the solution to a temperature of at
least 160.degree. C., wherein a concentration of the rare earth including
compound provided upon decomposition is sufficient to provide critical
supersaturation of at least one active intermediate in the solution to
nucleate a plurality of rare earth oxide nanocrystals. The plurality of
rare earth nanocrystals are then grown, wherein the growing step proceeds
at least in part in the absence of critical supersaturation of the active
intermediate. The rare earth nanocrystals can assemble into at least one
close-packed, ordered nanocrystal superlattice.