The reorientational dynamics of tetrahydroborate (BH 4 − ) anions in the hexagonal 1:1 LiBH 4 −LiI solid solution were characterized by quasielastic neutron scattering (QENS) with results extended to high momentum transfers (Q). Measurements are compared in detail to results for LiBH 4 and to a range of models describing the various possible reorientational mechanisms. The high reorientational mobility compared to that for BH 4 − in other solid-state environments reflects a favorable combination of the underlying hexagonal close-packed lattice and the unusually large BH 4 − crystallographic site stabilized by the presence of the I − anions throughout the structure. QENS data up to momentum transfers of 4.2 Å −1 at 125 K reveal a dominant uniaxial reorientation mechanism consisting of rapid BH 4 − diffusive-like rotational motions of three H atoms in a ring around the c-directed trigonal B−H axis, with the fourth axial H atom remaining stationary. By 200 K, this diffusive ring of three H atoms undergoes noticeable jump exchanges with the axial H atom, identical to what has been observed for BH 4− reorientations in hexagonal LiBH 4 at much higher temperature. The two separate mechanisms are consistent with the two reorientational motions revealed recently by NMR measurements. An average rotational activation energy of 36 meV ± 1 meV is derived over a wide temperature range.