Abstract
We report predictions for the energy eigenstates and inelastic neutron-scattering excitations of an isotropic Heisenberg hexamer consisting of general spin $S$ and ${S}^{\ensuremath{'}}$ 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 $S=1/2\text{ }{\text{V}}^{4+}$ trimer model. Using our model, we determine the amount of intertrimer coupling that can be accommodated by the measured susceptibility and predict the inelastic neutron-scattering spectrum for comparison with future measurements.
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