The binding energies and other properties of the excitonic complexes (bound
systems of electrons and holes) in two and three dimensions (2D and 3D) ar
e calculated by a precise variational method. The mass ratios for the limit
of the stability of X-3(+)(eehhh) are determined in both 2D and 3D cases.
Two excited states of the biexciton are found to remain bound for any mass
ratio. [S0163-1829(99)01608-2].