“…The Ba 3 MX 2 O 9 series with M = Co, Ni, Cu, Ru, Ir and X= Sb, Ti, [4,[11][12][13][14] displays a variety of ground states depending upon the electronic states of the ions, strength of the SOC, and the crystal-field energy. However, Ba 3 ZnIr 2 O 9 , where Ir is in the pentavalent oxidation state, shows a spinorbital liquid state because of the comparable energy scales induced by the SOC and superexchange interactions [15].…”