Metal oxides containing the divalent zinc cation (Zn
2+, d
10 electronic configuration) as an essential element are promising candidates for oxide-ion conductors, because there are several good oxide-ion conductors containing other d
10 cations, such as Ga
3+ and Ge
4+. In the present study, we have found a new structure family of oxide-ion conductors, BaY
2CuO
5-type (BaCuY
2O
5-type) Ba
R2ZnO
5 compounds (
R = rare earths). Ba
R2ZnO
5 compounds with a BaY
2CuO
5-type structure were found to be good candidates for oxide-ion conductors by the bond-valence method. Ba
R2ZnO
5 compounds (
R = Sm, Gd, Dy, Er, and Ho) were synthesized by solid-state reactions, and their electrical conductivities and crystal structures were investigated. Rietveld analyses of Ba
R2ZnO
5 (
R = Sm, Gd, Dy, Er, and Ho) using synchrotron X-ray powder diffraction data gave good fitting for the BaY
2CuO
5-type structure. BaHo
2ZnO
5 had the highest total electrical conductivity in air among Ba
R2ZnO
5 compounds (
R = Sm, Gd, Dy, Er, Ho). Oxide-ion conduction was confirmed for BaHo
2ZnO
5 by electrical conductivity measurements conducted under various oxygen partial pressures. Neutron powder diffraction data of BaHo
2ZnO
5 were analyzed by the Rietveld method, and the oxide-ion conduction paths were investigated by the bond-valence method.
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