The crystal structure of Et4NI (14,a = 8,860(2) A, c = 6.932() A, Z = 2) has been redetermined and those of Ph4PBr.H20 ( p i , n = 10.005(3) A, b = 10.659(2) A, c = 10.697(4) A, % = 102.61(2)", P = 83.39(3)", y = 108.09(3)", Z = 2) and Ph4PBr.2H20 (Pnma, a = 16.255(4) A, b = 10.810(4) A, c = 12.667(9) A, Z = 4) have been determined for the first time. In the Et4NI structure Et4Nt cations in an extended S4 conformation and I-anions are arranged in a zincblende-type packing. The two hydrate structures are ionic and very similar. The anion in the monohydrate is a centrosymmetric cyclic dimer [Br2(0~2)2]2-; in the dihydrate the anion, which is an almost planar infinite 412]z chain Ilb, appears to be of a novel type. If the H20 molecules are not considered, the ion packing in both hydrates may be regarded as of the anti-NiAs type. The ion packing in R4EX structures and the conformation of the Et4N+ ion in crystals are discussed in some detail. In this series of investigations we are interested in discovering how the idealized symmetry (Td or subgroup) of tetraradial" XL: ' species is reflected in the crystallographic symmetry when XL2' is incorporated in a crystal, on its own (n = 0) or in combination with another, not necessarily tetraradial species, and in particular how the packing type is affected by the size and complexity of XLI;' in simple chemical combinations. In the present contribution to the systematic crystal chemistry of such species we report the results of a redetermination of the structure of Et4NI and of determinations of the structures of Ph4PBr.H20 and Ph4PBr.2H20. Although Ph4PBr rather than its hydrates was originally the compound to be investigated, we were unsuccessful in our attempts to obtain crystals of the anhydrous bromide (see ~xperimental) .5