  Inelastic neutron scattering (INS) is a key method for studying magnetic
excitations in spin systems, including molecular spin clusters. The method has
significantly advanced in recent years and now permits to probe the scattering
intensity as a function of the energy transfer and the momentum-transfer vector
Q. It was recently shown that high molecular symmetry facilitates the analysis
of spectra. Point-group symmetry imposes selection rules in isotropic as well
as anisotropic spin models. Furthermore, the Q-dependence of the INS intensity
may be completely determined by the point-group symmetry of the states involved
in a transition, thereby affording a clear separation of dynamics (energies,
transition strengths) and geometrical features (Q-dependencies). The present
work addresses this issue for anisotropic spin models. We identify a number of
cases where the Q-dependence is completely fixed by the point-group symmetry.
For six- and eight-membered planar spin rings and two polyhedra (the cube and
the icosahedron) we tabulate and plot the corresponding powder-averaged
universal intensity functions. The outlined formalism straightforwardly applies
to other highly-symmetric systems and should be useful for future analyses of
INS spectra by focusing on those features that contain information on either
spin dynamics or the point-group symmetry of states.
