The energy states of quasi zero-dimensional biexcitons are studied in epita
xially grown CdS/ZnS quantum structures. Selecting a semiconductor structur
e with high bulk exciton energy, comparatively small ratio in effective mas
ses and strong 3D quantum confinement. an engineering of biexciton binding
energies was possible towards highest values even exceeding the bulk excito
n Rydberg energies. At low temperatures, the biexciton-phonon interaction i
s dominated by coupling to acoustic phonons. A strong enhancement of exchan
ge splitting effects is observed resulting in two linearly polarized excito
n peaks. The unusual preference polarization of the biexciton emission is a
ttributed to a relaxation of selection rules because of anisotropies in the
confining potentials and mixing of valence band states.