The perpendicular and parallel components of the magnetization of the
mixed valence system Hg1-xFexSe in the strongly dilute limit x<10(-3))
have been measured in magnetic fields up to 20T. In this interesting
semimagnetic semiconductor the overall magnetization is caused simulta
neously by Fe3+ (Brillouin paramagnet), Fe2+ (van Vleck paramagnet), a
nd free electrons (diamagnetic de Haas-van Alphen effect). Using a tor
que magnetometer the various contributions with their anisotropy are i
ndividually determined. For very low iron content (x<2.4x10(-4)) the F
e donors exclusively exhibit an isotropic Brillouin paramagnetism of n
oninteracting Fe3+ ions. For higher concentration Fe2+ also exists. Co
existing with a crystal-field-induced anisotropy. This anisotropy is a
nalyzed by measuring the induced magnetic moment perpendicular to the
magnetic field when applying the field in a nonsymmetric direction of
the crystal. Using recent theoretical results on the energy-level diag
ram of Fe2+ in the T-d symmetry of a HgSe host lattice we deduce a spi
n-orbit level splitting of 2 meV from our experimental data. In contra
st to higher concentration samples, both the Brillouin paramagnetism o
f Fe3+ and the van Vlec paramagnetism of Fe2+ can be attributed to the
sum from individual Fe donors with no obvious magnetic interaction be
tween them. Finally, we also have measured de Haas-van Alphen oscillat
ions of the conduction-band electrons with amplitudes of the same orde
r as the paramagnetic background. From the measured crystal-field-indu
ced anisotropy in the magnetic moment we deduce a Fermi-surface anisot
ropy of about 7%.