Because some A2BO4-based materials such as (Pr,La)2(Ni,Cu,Ga)O4+δ exhibit high oxide-ion conductivity, scientists at Tokyo Tech have been exploring new structure families of ABCO4-based materials as BaRInO4, where R represents a rare earth element. Here, A, B, and C are cations located at different crystallographic sites, and A, B, and C in ABCO4 correspond to A, A, and B, respectively, in A2BO4.