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Materials Data on Ba3LiRu2O9 by Materials Project

LiBa3Ru2O9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Li1+ is bonded to six equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. All Li–O bond lengths are 2.15 Å. There are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent LiO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ba–O bond distances ranging from 2.94–3.00 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, faces with two equivalent LiO6 octahedra, and faces with six equivalent RuO6 octahedra. There are six shorter (2.94 Å) and six longer (2.95 Å) Ba–O bond lengths. Ru+5.50+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent LiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There is three shorter (1.88 Å) and three longer (2.07 Å) Ru–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+ and two equivalent Ru+5.50+ atoms to form a mixture of distorted corner and face-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 7–60°. In the second O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba7Li3(RuO5)4 by Materials Project

Ba7Li3Ru4O20 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three equivalent RuO6 octahedra and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Li–O bond distances ranging from 1.90–2.08 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–5°. All Li–O bond lengths are 2.15 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, faces with six RuO6 octahedra, and a faceface with one LiO4 trigonal pyramid. There are a spread of Ba–O bond distances ranging from 2.91–3.00 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–3.18 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with six BaO12 cuboctahedra, faces with three equivalent LiO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Ba–O bond distances ranging from 2.91–3.01 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.56–2.97 Å. There are two inequivalent Ru+5.75+ sites. In the first Ru+5.75+ site, Ru+5.75+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent LiO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Ru–O bond distances ranging from 1.89–2.08 Å. In the second Ru+5.75+ site, Ru+5.75+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent LiO4 trigonal pyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.88–2.08 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+ and two Ru+5.75+ atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 6–60°. In the second O2- site, O2- is bonded to four Ba2+ and two Ru+5.75+ atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 7–60°. In the third O2- site, O2- is bonded to four Ba2+ and two Ru+5.75+ atoms to form a mixture of distorted face and corner-sharing OBa4Ru2 octahedra. The corner-sharing octahedra tilt angles range from 7–60°. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.75+ atom. In the fifth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.75+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.75+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and three Ba2+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.75+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.75+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four Ba2+, and one Ru+5.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaLiRu5O11 by Materials Project

LiBaRu5O11 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with twelve RuO6 octahedra and edges with three equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are three shorter (1.88 Å) and two longer (2.35 Å) Li–O bond lengths. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, edges with six equivalent RuO6 octahedra, edges with three equivalent LiO5 trigonal bipyramids, and faces with six equivalent RuO6 octahedra. There are six shorter (2.92 Å) and six longer (2.95 Å) Ba–O bond lengths. There are two inequivalent Ru+3.80+ sites. In the first Ru+3.80+ site, Ru+3.80+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four equivalent RuO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two equivalent BaO12 cuboctahedra, and edges with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are four shorter (2.03 Å) and two longer (2.06 Å) Ru–O bond lengths. In the second Ru+3.80+ site, Ru+3.80+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six equivalent RuO6 octahedra, corners with three equivalent LiO5 trigonal bipyramids, faces with three equivalent BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are three shorter (2.00 Å) and three longer (2.03 Å) Ru–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three equivalent Ru+3.80+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to one Li1+, two equivalent Ba2+, and two equivalent Ru+3.80+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ru+3.80+ atoms.

36 MATERIALS SCIENCE↗