A systematic structure search in the La-H and Y-H systems under pressure reveals some hydrogen-rich structures with intriguing electronic properties. For example, LaH 10 is found to adopt a sodalite-like face-centered cubic (fcc) structure, stable above 200 GPa, and LaH 8 a C2/m space group structure. Phonon calculations indicate both are dynamically stable; electron phonon calculations coupled to Bardeen-Cooper-Schrieffer (BCS) arguments indicate they might be high-T c superconductors. In particular, the superconducting transition temperature T c calculated for LaH 10 is 274-286 K at 210 GPa. Similar calculations for the Y-H system predict stability of the sodalite-like fcc YH 10 and a T c above room temperature, reaching 305-326 K at 250 GPa. The study suggests that dense hydrides consisting of these and related hydrogen polyhedral networks may represent new classes of potential very hightemperature superconductors.high pressure | superconductivity | hydrides | structure search E xtending his original predictions of very high-temperature superconductivity of high-pressure metallic hydrogen (1), Ashcroft later proposed that hydrogen-rich materials containing main group elements might exhibit superconductivity at lower pressures, as the hydrogen in these structures may be considered "chemically precompressed" (2). These proposals, which were based on the Bardeen-Cooper-Schrieffer (BCS) (3) phononmediated theory of superconductivity, have motivated many theoretical and experimental efforts in the search for hightemperature superconductivity in hydrides at elevated pressures (4-10). Theory has predicted the stability of a variety of dense hydride structures for which BCS arguments give superconducting transition temperatures, T c s, that are very high (11)(12)(13)(14)(15)(16)(17)(18).In recent times, compression of hydrogen sulfides has provided a new incentive in hydride superconductivity, one in which theory played an important role. First, theoretical calculations predicted H 2 S to have a T c of ∼80 K at pressures above 100 GPa (19). Compression of H 2 S led to the striking discovery of a superconducting material with a T c of 203 K at 200 GPa (20). Moreover, the critical temperature exhibits a pronounced isotope shift consistent with BCS theory. It was proposed that the superconducting phase is not stoichiometric H 2 S but SH 3 , with a calculated T c of 194 K at 200 GPa including anharmonic effects (21,22). A subsequent experiment (23) suggested that the superconducting phase is cubic SH 3 , in agreement with a theoretical study that gave T c = 204 K within the harmonic approximation (24). Compression of another hydride, PH 3 , was reported to reach a T c of ∼100 K at high pressures (25). Subsequent theoretical calculations predicted possible structures and calculated T c s close to the experimental results (26-28). The experimental picture for these materials remains not entirely clear, and the synthesis of the superconducting phases, which has been reproduced for hydrogen sulfide, is path-dependent (23).Th...