We review results of magnetooptical studies related to various methods of "
spin splitting engineering" possible in quantum well (QW) structures made o
f II-VI diluted magnetic semiconductors (DMS). The experiments made use of
unique structures, based on Cd1-x-yMnxMgyTe, with a precise in-plane profil
ing of either QW width or n-type doping intensity and of structures with di
gital profiling of the composition of constituent materials in the growth d
irection. The most typical version of the spin splitting engineering, avail
able also in bulk DMSs, namely the one via an adjustment of (homogeneous) M
n composition, or via the lattice temperature or/and a magnetic field, was
used to study magnetooptical properties of QW containing electrons as a fun
ction of their g-factor (tuned from g(ett)* = -1.46 + 55!). We also demonst
rate three further methods of modifying the spin splitting in low-dimension
al structures made of DMSs. They involve: (i) atomically precise control ov
er Mn ion spatial distribution in the growth direction, (ii) reduction of t
he s-d exchange constant with increasing electron confinement, (iii) modifi
cation of MII spin temperature by the electron gas heated by photo-excited
carriers. (C) 2000 Elsevier Science B.V. All rights reserved.