Ba3Ru2NaO9 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmcm space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(9) atoms to form NaO6 octahedra that share corners with two equivalent Ru(1)O6 octahedra, corners with two equivalent Ru(2)O6 octahedra, corners with two equivalent Ru(3)O6 octahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, and faces with two equivalent Ba(6)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-5°. In the second Na site, Na(2) is bonded to two equivalent O(7) and four equivalent O(12) atoms to form NaO6 octahedra that share corners with two equivalent Ru(2)O6 octahedra, corners with four equivalent Ru(3)O6 octahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, and faces with four equivalent Ba(6)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the third Na site, Na(3) is bonded to two equivalent O(4) and four equivalent O(13) atoms to form NaO6 octahedra that share corners with two equivalent Ru(1)O6 octahedra, corners with four equivalent Ru(3)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, and faces with four equivalent Ba(6)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-8°. There are six inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to two equivalent O(10), two equivalent O(14), two equivalent O(3), two equivalent O(4), and four equivalent O(13) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(2)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with four equivalent Ba(3)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, faces with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Na(3)O6 octahedra, faces with two equivalent Ru(1)O6 octahedra, and faces with four equivalent Ru(3)O6 octahedra. In the second Ba site, Ba(2) is bonded to two equivalent O(11), two equivalent O(14), two equivalent O(7), two equivalent O(8), and four equivalent O(12) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with four equivalent Ba(3)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, faces with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Na(2)O6 octahedra, faces with two equivalent Ru(2)O6 octahedra, and faces with four equivalent Ru(3)O6 octahedra. In the third Ba site, Ba(3) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), one O(8), two equivalent O(1), two equivalent O(5), and two equivalent O(9) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with two equivalent Ba(2)O12 cuboctahedra, corners with two equivalent Ba(3)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Na(1)O6 octahedra, faces with two equivalent Ru(1)O6 octahedra, faces with two equivalent Ru(2)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. In the fourth Ba site, Ba(4) is bonded to one O(2), one O(7), two equivalent O(1), two equivalent O(11), two equivalent O(12), two equivalent O(5), and two equivalent O(9) atoms to form BaO12 cuboctahedra that share  a cornercorner with one Ba(2)O12 cuboctahedra, corners with two equivalent Ba(3)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Ru(1)O6 octahedra, corners with two equivalent Ru(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra,  a faceface with one Na(2)O6 octahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, faces with two equivalent Na(1)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. In the fifth Ba site, Ba(5) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(10), two equivalent O(13), two equivalent O(5), and two equivalent O(9) atoms to form BaO12 cuboctahedra that share  a cornercorner with one Ba(1)O12 cuboctahedra, corners with two equivalent Ba(3)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Ru(2)O6 octahedra, corners with two equivalent Ru(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra,  a faceface with one Na(3)O6 octahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, faces with two equivalent Na(1)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. In the sixth Ba site, Ba(6) is bonded to one O(1), one O(14), one O(3), one O(4), one O(5), one O(7), one O(8), one O(9), two equivalent O(12), and two equivalent O(13) atoms to form distorted BaO12 cuboctahedra that share  a cornercorner with one Ba(1)O12 cuboctahedra,  a cornercorner with one Ba(2)O12 cuboctahedra,  a cornercorner with one Ba(3)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Ru(1)O6 octahedra,  a cornercorner with one Ru(2)O6 octahedra,  a cornercorner with one Ru(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra,  a faceface with one Na(1)O6 octahedra,  a faceface with one Na(2)O6 octahedra,  a faceface with one Na(3)O6 octahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. There are three inequivalent Ru sites. In the first Ru site, Ru(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form RuO6 octahedra that share  a cornercorner with one Ba(4)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Na(1)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, and  a faceface with one Ru(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. In the second Ru site, Ru(2) is bonded to one O(6), one O(7), two equivalent O(5), and two equivalent O(8) atoms to form RuO6 octahedra that share  a cornercorner with one Ba(5)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Na(2)O6 octahedra, corners with two equivalent Na(1)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, and  a faceface with one Ru(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. In the third Ru site, Ru(3) is bonded to one O(10), one O(11), one O(12), one O(13), one O(14), and one O(9) atom to form RuO6 octahedra that share  a cornercorner with one Ba(4)O12 cuboctahedra,  a cornercorner with one Ba(5)O12 cuboctahedra,  a cornercorner with one Ba(6)O12 cuboctahedra,  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, and  a faceface with one Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. There are fourteen inequivalent O sites. In the first O site, O(8) is bonded to one Ba(2), one Ba(3), two equivalent Ba(6), and two equivalent Ru(2) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-63°. In the second O site, O(9) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), one Ba(5), one Ba(6), and one Ru(3) atom. In the third O site, O(10) is bonded to one Ba(1), one Ba(3), two equivalent Ba(5), and two equivalent Ru(3) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 4-62°. In the fourth O site, O(11) is bonded to one Ba(2), one Ba(3), two equivalent Ba(4), and two equivalent Ru(3) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-63°. In the fifth O site, O(12) is bonded in a distorted linear geometry to one Na(2), one Ba(2), one Ba(4), two equivalent Ba(6), and one Ru(3) atom. In the sixth O site, O(13) is bonded in a distorted linear geometry to one Na(3), one Ba(1), one Ba(5), two equivalent Ba(6), and one Ru(3) atom. In the seventh O site, O(14) is bonded to one Ba(1), one Ba(2), two equivalent Ba(6), and two equivalent Ru(3) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 6-60°. In the eighth O site, O(1) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), one Ba(5), one Ba(6), and one Ru(1) atom. In the ninth O site, O(2) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ru(1) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. In the tenth O site, O(3) is bonded to one Ba(1), one Ba(3), two equivalent Ba(6), and two equivalent Ru(1) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 4-62°. In the eleventh O site, O(4) is bonded in a distorted linear geometry to one Na(3), one Ba(1), one Ba(5), two equivalent Ba(6), and one Ru(1) atom. In the twelfth O site, O(5) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), one Ba(5), one Ba(6), and one Ru(2) atom. In the thirteenth O site, O(6) is bonded to two equivalent Ba(3), two equivalent Ba(5), and two equivalent Ru(2) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-62°. In the fourteenth O site, O(7) is bonded in a distorted linear geometry to one Na(2), one Ba(2), one Ba(4), two equivalent Ba(6), and one Ru(2) atom.
Ba3Ru2NaO9 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Cmcm space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(9) atoms to form NaO6 octahedra that share corners with two equivalent Ru(1)O6 octahedra, corners with two equivalent Ru(2)O6 octahedra, corners with two equivalent Ru(3)O6 octahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, and faces with two equivalent Ba(6)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 3-5°. Both Na(1)-O(1) bond lengths are 2.27 Å. Both Na(1)-O(5) bond lengths are 2.28 Å. Both Na(1)-O(9) bond lengths are 2.27 Å. In the second Na site, Na(2) is bonded to two equivalent O(7) and four equivalent O(12) atoms to form NaO6 octahedra that share corners with two equivalent Ru(2)O6 octahedra, corners with four equivalent Ru(3)O6 octahedra, faces with two equivalent Ba(2)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, and faces with four equivalent Ba(6)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. Both Na(2)-O(7) bond lengths are 2.32 Å. All Na(2)-O(12) bond lengths are 2.25 Å. In the third Na site, Na(3) is bonded to two equivalent O(4) and four equivalent O(13) atoms to form NaO6 octahedra that share corners with two equivalent Ru(1)O6 octahedra, corners with four equivalent Ru(3)O6 octahedra, faces with two equivalent Ba(1)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, and faces with four equivalent Ba(6)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 1-8°. Both Na(3)-O(4) bond lengths are 2.34 Å. All Na(3)-O(13) bond lengths are 2.23 Å. There are six inequivalent Ba sites. In the first Ba site, Ba(1) is bonded to two equivalent O(10), two equivalent O(14), two equivalent O(3), two equivalent O(4), and four equivalent O(13) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(2)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with four equivalent Ba(3)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, faces with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Na(3)O6 octahedra, faces with two equivalent Ru(1)O6 octahedra, and faces with four equivalent Ru(3)O6 octahedra. Both Ba(1)-O(10) bond lengths are 3.07 Å. Both Ba(1)-O(14) bond lengths are 2.91 Å. Both Ba(1)-O(3) bond lengths are 2.99 Å. Both Ba(1)-O(4) bond lengths are 2.97 Å. All Ba(1)-O(13) bond lengths are 2.94 Å. In the second Ba site, Ba(2) is bonded to two equivalent O(11), two equivalent O(14), two equivalent O(7), two equivalent O(8), and four equivalent O(12) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with four equivalent Ba(3)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, faces with four equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Na(2)O6 octahedra, faces with two equivalent Ru(2)O6 octahedra, and faces with four equivalent Ru(3)O6 octahedra. Both Ba(2)-O(11) bond lengths are 2.94 Å. Both Ba(2)-O(14) bond lengths are 3.07 Å. Both Ba(2)-O(7) bond lengths are 3.01 Å. Both Ba(2)-O(8) bond lengths are 2.95 Å. All Ba(2)-O(12) bond lengths are 2.94 Å. In the third Ba site, Ba(3) is bonded to one O(10), one O(11), one O(2), one O(3), one O(6), one O(8), two equivalent O(1), two equivalent O(5), and two equivalent O(9) atoms to form BaO12 cuboctahedra that share corners with two equivalent Ba(1)O12 cuboctahedra, corners with two equivalent Ba(2)O12 cuboctahedra, corners with two equivalent Ba(3)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Ba(4)O12 cuboctahedra, faces with two equivalent Ba(5)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, faces with two equivalent Na(1)O6 octahedra, faces with two equivalent Ru(1)O6 octahedra, faces with two equivalent Ru(2)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The Ba(3)-O(10) bond length is 2.87 Å. The Ba(3)-O(11) bond length is 2.97 Å. The Ba(3)-O(2) bond length is 2.97 Å. The Ba(3)-O(3) bond length is 2.99 Å. The Ba(3)-O(6) bond length is 3.00 Å. The Ba(3)-O(8) bond length is 3.06 Å. Both Ba(3)-O(1) bond lengths are 2.96 Å. Both Ba(3)-O(5) bond lengths are 2.95 Å. Both Ba(3)-O(9) bond lengths are 3.01 Å. In the fourth Ba site, Ba(4) is bonded to one O(2), one O(7), two equivalent O(1), two equivalent O(11), two equivalent O(12), two equivalent O(5), and two equivalent O(9) atoms to form BaO12 cuboctahedra that share  a cornercorner with one Ba(2)O12 cuboctahedra, corners with two equivalent Ba(3)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Ru(1)O6 octahedra, corners with two equivalent Ru(3)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra,  a faceface with one Na(2)O6 octahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, faces with two equivalent Na(1)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-17°. The Ba(4)-O(2) bond length is 2.96 Å. The Ba(4)-O(7) bond length is 2.97 Å. Both Ba(4)-O(1) bond lengths are 2.89 Å. Both Ba(4)-O(11) bond lengths are 3.13 Å. Both Ba(4)-O(12) bond lengths are 3.10 Å. Both Ba(4)-O(5) bond lengths are 3.06 Å. Both Ba(4)-O(9) bond lengths are 2.94 Å. In the fifth Ba site, Ba(5) is bonded to one O(4), one O(6), two equivalent O(1), two equivalent O(10), two equivalent O(13), two equivalent O(5), and two equivalent O(9) atoms to form BaO12 cuboctahedra that share  a cornercorner with one Ba(1)O12 cuboctahedra, corners with two equivalent Ba(3)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with four equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Ru(2)O6 octahedra, corners with two equivalent Ru(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra,  a faceface with one Na(3)O6 octahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, faces with two equivalent Na(1)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 8-16°. The Ba(5)-O(4) bond length is 3.02 Å. The Ba(5)-O(6) bond length is 2.95 Å. Both Ba(5)-O(1) bond lengths are 3.06 Å. Both Ba(5)-O(10) bond lengths are 3.08 Å. Both Ba(5)-O(13) bond lengths are 2.98 Å. Both Ba(5)-O(5) bond lengths are 2.91 Å. Both Ba(5)-O(9) bond lengths are 3.04 Å. In the sixth Ba site, Ba(6) is bonded to one O(1), one O(14), one O(3), one O(4), one O(5), one O(7), one O(8), one O(9), two equivalent O(12), and two equivalent O(13) atoms to form distorted BaO12 cuboctahedra that share  a cornercorner with one Ba(1)O12 cuboctahedra,  a cornercorner with one Ba(2)O12 cuboctahedra,  a cornercorner with one Ba(3)O12 cuboctahedra, corners with two equivalent Ba(4)O12 cuboctahedra, corners with two equivalent Ba(5)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Ru(1)O6 octahedra,  a cornercorner with one Ru(2)O6 octahedra,  a cornercorner with one Ru(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra,  a faceface with one Na(1)O6 octahedra,  a faceface with one Na(2)O6 octahedra,  a faceface with one Na(3)O6 octahedra,  a faceface with one Ru(1)O6 octahedra,  a faceface with one Ru(2)O6 octahedra, and faces with two equivalent Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-15°. The Ba(6)-O(1) bond length is 2.97 Å. The Ba(6)-O(14) bond length is 2.99 Å. The Ba(6)-O(3) bond length is 2.88 Å. The Ba(6)-O(4) bond length is 3.00 Å. The Ba(6)-O(5) bond length is 2.93 Å. The Ba(6)-O(7) bond length is 2.97 Å. The Ba(6)-O(8) bond length is 2.86 Å. The Ba(6)-O(9) bond length is 3.01 Å. There is one shorter (2.96 Å) and one longer (3.22 Å) Ba(6)-O(12) bond length. There is one shorter (3.10 Å) and one longer (3.23 Å) Ba(6)-O(13) bond length. There are three inequivalent Ru sites. In the first Ru site, Ru(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form RuO6 octahedra that share  a cornercorner with one Ba(4)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Na(1)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, and  a faceface with one Ru(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-4°. The Ru(1)-O(2) bond length is 2.07 Å. The Ru(1)-O(4) bond length is 1.89 Å. Both Ru(1)-O(1) bond lengths are 1.89 Å. Both Ru(1)-O(3) bond lengths are 2.07 Å. In the second Ru site, Ru(2) is bonded to one O(6), one O(7), two equivalent O(5), and two equivalent O(8) atoms to form RuO6 octahedra that share  a cornercorner with one Ba(5)O12 cuboctahedra, corners with two equivalent Ba(6)O12 cuboctahedra,  a cornercorner with one Na(2)O6 octahedra, corners with two equivalent Na(1)O6 octahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(3)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, and  a faceface with one Ru(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-5°. The Ru(2)-O(6) bond length is 2.06 Å. The Ru(2)-O(7) bond length is 1.90 Å. Both Ru(2)-O(5) bond lengths are 1.90 Å. Both Ru(2)-O(8) bond lengths are 2.08 Å. In the third Ru site, Ru(3) is bonded to one O(10), one O(11), one O(12), one O(13), one O(14), and one O(9) atom to form RuO6 octahedra that share  a cornercorner with one Ba(4)O12 cuboctahedra,  a cornercorner with one Ba(5)O12 cuboctahedra,  a cornercorner with one Ba(6)O12 cuboctahedra,  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a faceface with one Ba(1)O12 cuboctahedra,  a faceface with one Ba(2)O12 cuboctahedra,  a faceface with one Ba(3)O12 cuboctahedra,  a faceface with one Ba(4)O12 cuboctahedra,  a faceface with one Ba(5)O12 cuboctahedra, faces with two equivalent Ba(6)O12 cuboctahedra, and  a faceface with one Ru(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 3-9°. The Ru(3)-O(10) bond length is 2.07 Å. The Ru(3)-O(11) bond length is 2.06 Å. The Ru(3)-O(12) bond length is 1.86 Å. The Ru(3)-O(13) bond length is 1.85 Å. The Ru(3)-O(14) bond length is 2.07 Å. The Ru(3)-O(9) bond length is 1.88 Å. There are fourteen inequivalent O sites. In the first O site, O(8) is bonded to one Ba(2), one Ba(3), two equivalent Ba(6), and two equivalent Ru(2) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-63°. In the second O site, O(9) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), one Ba(5), one Ba(6), and one Ru(3) atom. In the third O site, O(10) is bonded to one Ba(1), one Ba(3), two equivalent Ba(5), and two equivalent Ru(3) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 4-62°. In the fourth O site, O(11) is bonded to one Ba(2), one Ba(3), two equivalent Ba(4), and two equivalent Ru(3) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-63°. In the fifth O site, O(12) is bonded in a distorted linear geometry to one Na(2), one Ba(2), one Ba(4), two equivalent Ba(6), and one Ru(3) atom. In the sixth O site, O(13) is bonded in a distorted linear geometry to one Na(3), one Ba(1), one Ba(5), two equivalent Ba(6), and one Ru(3) atom. In the seventh O site, O(14) is bonded to one Ba(1), one Ba(2), two equivalent Ba(6), and two equivalent Ru(3) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 6-60°. In the eighth O site, O(1) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), one Ba(5), one Ba(6), and one Ru(1) atom. In the ninth O site, O(2) is bonded to two equivalent Ba(3), two equivalent Ba(4), and two equivalent Ru(1) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-61°. In the tenth O site, O(3) is bonded to one Ba(1), one Ba(3), two equivalent Ba(6), and two equivalent Ru(1) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 4-62°. In the eleventh O site, O(4) is bonded in a distorted linear geometry to one Na(3), one Ba(1), one Ba(5), two equivalent Ba(6), and one Ru(1) atom. In the twelfth O site, O(5) is bonded in a distorted linear geometry to one Na(1), one Ba(3), one Ba(4), one Ba(5), one Ba(6), and one Ru(2) atom. In the thirteenth O site, O(6) is bonded to two equivalent Ba(3), two equivalent Ba(5), and two equivalent Ru(2) atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedral tilt angles range from 5-62°. In the fourteenth O site, O(7) is bonded in a distorted linear geometry to one Na(2), one Ba(2), one Ba(4), two equivalent Ba(6), and one Ru(2) atom.