Various novel features of the magnetic field splitting associated with
the photoluminescence excitation spectra (PLE) and the photoluminesce
nce spectra (PL) for CdTe/Cd1-xMnxTe quantum well structures are descr
ibed. The unusual Zeeman splitting pattern of the heavy-hole barrier e
xciton state, together with that of the light-hole well exciton state,
is shown to be consistent with the magnetic response of the monolayer
s adjacent to an interface being different from that of the bulk. In p
articular it is shown that for the carrier in the conduction band, the
magnitude of the exchange integral with the magnetic ions in the firs
t two monolayers is of approximately the same magnitude but of opposit
e sign to that occurring in the bulk.