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We report the synthesis of single crystals of a novel layered iridateBa$_{21}$Ir$_9$O$_{43}$, and present the crystallographic, transport andmagnetic properties of this material. The compound has a hexagonal structurewith two iridium oxide layers stacked along the $c$ direction. One layerconsists of a triangular arrangement of Ir$_2$O$_9$ dimers while the otherlayer comprises two regular octahedra and one triangular pyramid, forminginter-penetrated triangular lattices. The resistivity as a function oftemperature exhibits an insulating behavior, with a peculiar $T^{-3}$ behavior.Magnetic susceptibility shows antiferromagnetic Curie-Weiss behavior with$\Theta_\mathrm{CW} \simeq -$90 K while a magnetic transition occurs atsubstantially lower temperature of 9 K. We discuss possible valence states andeffective magnetic moments on Ir ions in different local environments, andargue that the Ir ions in a unique triangular-pyramidal configuration likelycarry unusually large magnetic moments.

Possibility of an unconventional spin state of Ir$^{4+}$ in Ba$_{21}$Ir$_9$O$_{43}$ single crystal