There is great interest in the exploration of hydrogen-rich compounds upon strong compression where they can become superconductors. Stannane (SnH 4 ) has been proposed to be a potential high-temperature superconductor under pressure, but its high-pressure crystal structures, fundamental for the understanding of superconductivity, remain unsolved. Using an ab initio evolutionary algorithm for crystal structure prediction, we propose the existence of two unique high-pressure metallic phases having space groups Ama2 and P6 3 ∕mmc, which both contain hexagonal layers of Sn atoms and semimolecular (perhydride) H 2 units. Enthalpy calculations reveal that the Ama2 and P6 3 ∕mmc structures are stable at 96-180 GPa and above 180 GPa, respectively, while below 96 GPa SnH 4 is unstable with respect to elemental decomposition. The application of the Allen-Dynes modified McMillan equation reveals high superconducting temperatures of 15-22 K for the Ama2 phase at 120 GPa and 52-62 K for the P6 3 ∕mmc phase at 200 GPa.hydrogen-rich compounds | metallization | electron-phonon coupling R elatively high-temperature superconductivity is now documented in light-element metals such as Li under pressure (1-3) and MgB 2 (4), where transition temperatures T c up to 20 K and 39 K, respectively, are observed. There is great interest in exploration of unique superconducting phases in other lightelement materials because their high phonon frequencies can enhance electron-phonon coupling (see ref. 5). As the lightest element, hydrogen at very high densities is also predicted to be a superconductor with high transition temperatures (6-8). Experiments indicate that the predicted metallic and superconducting states of hydrogen remain above ∼300 GPa (9-11). It has been proposed that hydrogen-rich compounds (e.g., group IVa hydrides (12)) are expected to metallize at pressures considerably lower than pure hydrogen due to the chemical "precompression" caused by heavier elements; these metallization pressures may fall within the range of current capabilities of static compression techniques. The exploration of potential superconductivity in these hydrogen-rich compounds (e.g., SiH 4 , GeH 4 , and SnH 4 ) is thus desirable and numerous studies have been performed (13)(14)(15)(16)(17)(18)(19)(20)(21)(22)(23)(24)(25). Strikingly, recent experiments (15,18) show that SiH 4 transforms to a metallic phase near 50-60 GPa with a superconducting T c of 17 K at 96 and 120 GPa, though debate remains (26). We have recently predicted (17) that GeH 4 becomes a high-temperature superconductor with a T c of 64 K at 220 GPa. A theoretical study of SnH 4 (21) predicts that its T c can be even higher, reaching the value of 80 K. Using simulated annealing and geometry optimization, that study found that the high-pressure phase of SnH 4 has P6∕mmm symmetry with a layered structure intercalated by molecular H 2 units, wherein the nearest H-H distance, 0.84 Å, is short enough to be considered as covalent bonding, but significantly longer than the 0.74 Å in the free H ...