  Spin-dependent elastic scattering of weakly interacting massive dark matter
particles (WIMP) off nuclei is reviewed. All available, within different
nuclear models, structure functions S(q) for finite momentum transfer (q>0) are
presented. These functions describe the recoil energy dependence of the
differential event rate due to the spin-dependent WIMP-nucleon interactions.
This paper, together with the previous paper ``Nuclear spin structure in dark
matter search: The zero momentum transfer limit'', completes our review of the
nuclear spin structure calculations involved in the problem of direct dark
matter search.
