  Within a microscopic approach which takes into account RPA configurations,
the single-particle continuum and more complex $1p1h\otimes phonon$
configurations isoscalar and isovector M1 excitations for the unstable nuclei
${56,78}$Ni and ${100,132}$Sn are calculated. For comparison, the
experimentally known M1 excitations in ${40}$Ca and $^{208}$Pb have also been
calculated. In the latter nuclei good agreement in the centroid energy, the
total transition strength and the resonance width is obtained. With the same
parameters we predict the magnetic excitations for the unstable nuclei. The
strength is sufficiently concentrated to be measurable in radioactive beam
experiments. New features are found for the very neutron rich nucleus ${78}$Ni
and the neutron deficient nucleus ${100}$Sn.
