A phenomenological free-energy density for a mixture of a nematic with a ch
olesteric liquid crystal is constructed on the basis of symmetry considerat
ions. The possible spatially nonuniform distribution of the individual comp
onents of the medium is taken into account. From a microscopic description
of a mixture of two cholesteric liquid crystals and a nematic with a choles
teric liquid crystal, the dependence of the reciprocal of the pitch of the
cholesteric spiral on the concentration of the cholesteric liquid crystal i
s determined, and the results agree with all experimental data. It is shown
that at mesophase temperatures a spinodal decomposition, or stratification
, of the mixture is possible and the possible resulting supermolecular stru
ctures are determined. Specifically, it is found that the spinodal decompos
ition in nematic-cholesteric mixtures could be responsible for the distorti
on of the ideal spiral structure and for the appearance of a second period
in the director distribution. (C) 1999 American Institute of Physics. [S106
3-7761(99)01208-1].