The constraints [1] of symmetry imposed by the spinel structure and[2] of internal consistency within the periodic table are used to construct phenomenological energy diagrams for the transition-metal thiospinels. It is found that band narrowing via intra-atomic exchange is sufficient to localize the d electrons to a cation only if there are at least three unpaired spins at the cation. A-site Co 2+ ions may have collective d electrons, but exhibit a spontaneous atomic moment in Co [Cr 2]S 4. The compounds A[ Cr 2] S 4, where A = Zn, Cd, Mn and Fe, contain localized d electrons, although the antiparalled-spin electron per Fe 2+ ion is just localized. It is argued that the compounds Cu[ B 2]S 4, B = V, Cr, Rh and 1 2(Rh+Cr) , have one hole per molecule in primarily d-like, collective orbitais that are primarily Cu-S in character. Where the B cations have no spontaneous atomic moment ( B ≠ Cr), the compounds are superconducting at lowest temperatures. Cu[Ti 2]S 4 and Cu[Co 2]S 4, though metallic and without spontaneous magnetism, exhibit no superconducting transition above 0.05°K. Cu[Ti 2]S 4 and probably Cu[Co 2]S 4 are distinguished by a lack of (or less than one per molecule) holes in the d-like, collective Cu-S states. Cu 2+ + Cr 3+ is argued to be more stable than Cu + + Cr 4+ in the chalcogenide spinels, as it is known to be in Cu[Cr 2]O 4. The low Curie constant of CuCrRhSe 4, as compared with CuCrTiS 4, is attributed to a temperature-dependent molecular field, which is primarily due to mobile charge carriers in the selenide, rather than to Cr 4+ excited states at high temperatures. The decrease in optical energy gap below T c in CdCr 2Se 4, in contrast to its increase in CdCr 2S 4, is attributed to high-spin and low-spin Cr 2+ ions of approximately the same energy.