The method of laser deposition from a composite target was used to pre
pare Cd1-xMnxTe nanocrystals embedded in an SiO2 dielectric matrix, A
study of the Faraday effect in nanocrystals of this semimagnetic semic
onductor revealed enhancement of this effect, compared with bulk cryst
als. This was attributed to an increase in the oscillator strengths of
exciton transitions and to the difference between these strengths in
an external magnetic field. At helium temperatures the magnetic field
dependence of the Faraday rotation in the nanocrystals was linear in f
ields up to 200 kOe and the temperature dependence of the rotation in
the range 4.2 - 30 K had a singularity associated with a transition of
the nanoparticles from the paramagnetic state to a spin glass. The te
mperature of this transition in the investigated nanocrystals was high
er than the 'cooling' point of bulk semimagnetic semiconductors.