Abstract
We report predictions for the energy eigenstates and inelastic neutron scattering excitations of an
isotropic Heisenberg hexamer consisting of general spin S and S′ trimers. Specializing to spin-1/2
ions, we give analytic results for the energy excitations, magnetic susceptibility, and inelastic neutron
scattering intensities for this hexamer system. To examine this model further, we compare these
calculations to the measured magnetic susceptibility of a vanadium material, which is considered to
be well defined magnetically as an isolated S = 1/2 V4+ trimer model. Using our model, we determine
the amount of inter-trimer coupling that can be accommodated by the measured susceptibility, and
predict the inelastic neutron scattering spectrum for comparison with future measurements.