Degenerate four-wave-mixing experiments (DFWM) at the neutral acceptor
bound exciton complex in CdS and ZnSe are reported. ps- as well as fs
-spectroscopy are carried out to investigate the dephasing processes a
t this complex. The results are discussed concerning scattering of fre
e excitons, phonons, and interactions with impurity centers. Higher or
ders of diffraction in the DFWM process are modeled within the density
matrix equations for noninteracting two-level systems including propa
gation effects. From nonlinear quantum beat spectroscopy tile binding
energies of the acceptor bound biexciton in CdS and ZnSe are estimated
.