The potential energy surface of SH4, the prototype sulfurane, has been examined in light of previous theoretical studies suggesting that there may be two distinct energy minima. The first of these has the four H atoms in roughly octahedral positions, as in the experimentally known SF4 molecule, and belongs to point group C2v. The second isomer is square pyramidal, point group C4v. Molecular electronic structure theory has been applied using basis sets of triple zeta (TZ) and triple zeta plus polarization (TZ+P) quality. Configuration interaction (CI) including in some cases all single and double excitations was carried out and geometries optimized via newly developed analytic CI gradient techniques. At the TZ SCF and TZ CI levels of theory there are both C2v and C4v relative minima, separated by +2.4 and −1.6 kcal, respectively. However, using the more complete TZ+P SCF and TZ+ P CI methods, the C2v minimum disappears, leaving only the C4v minimum. Geometries corresponding to the expected C2v minimum lie about 6 kcal above the square pyramid structure. The C4v mimimum lies 74.6 kcal above separated H2S+H2 at the TZ+ P CI level of theory, and this is reduced to 72.4 kcal when the effects of higher excitations (unlinked clusters) are considered. Harmonic vibrational frequencies have been predicted at the three simpler levels of theory to prove the proposed designations of the various stationary points. For the square pyramidal SH4, the predicted frequencies are quite sensitive to basis set, as might be expected for an extremely flat potential energy surface such as this. The square planar geometry lies only slightly above the square pyramid, which faces a barrier of 2.3 kcal to inversion. The transition state for dissociation via SH4→SH2+H2 was also located at several levels of theory and has an interesting structure. The barrier to dissociation is ∼46 kcal and the activation energy ∼42 kcal, suggesting that SH4 should be a ’’makable’’ molecule.