  We evaluate the reflectivity of neutron mirrors composed of certain heavy
nuclei which possess strong neutron-nucleus resonances in the eV energy range.
We show that the reflectivity of such a mirror for some nuclei can in principle
be high enough near energies corresponding to compound neutron-nucleus
resonances to be of interest for certain scientific applications in
non-destructive evaluation of subsurface material composition and in the theory
of neutron optics beyond the kinematic limit.
