I solid-state NMR investigations of specific metaperiodates with alkyl-or aryl-substituted cations of main Group V revealed second-order quadrupole effects, except in the case of tetraethylammonium and tetramethylphosphonium metaperiodate. In these compounds the lZ7I quadrupole interactions are either very small or vanish. This allowed the approximate evaluation of the electric field gradients of the analogous isomorphous metaperrhenates. Despite the very large nuclear quadrupole moments of the rhenium isotopes, the estimated values of the ' "Re and Is7Re quadrupole coupling constants of tetraethylammonium and tetramethylphosphonium metaperrhenate have an order of magnitude accessible to solid-state NMR measurements. The ' ' ' Re and lS7Re NMR powder spectra of rhenium compounds in non-cubic lattice structures were measured for the first time. The complete ' "Re and lS7Re solid-state NMR spectra of polycrystalline tetramethylphosphonium metaperrhenate were observed, showing temperaturedependent second-order quadrupole splittings. In this compound the ReO; anions show very small deviations from tetrahedral symmetry, which were estimated from a point charge model and the measured quadrupole splittings. In contrast, the tetrahedral symmetry of the ReO; ions of tetraethylammonium metaperrhenate is nearly undistorted, because no quadrupole splittings of the ' ' ' Re and lS7Re signals were detectable in the powder NMR spectrum.