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Materials Data on Li7Mg8Zn9 by Materials Project

Li7Mg8Zn9 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are three inequivalent Li sites. In the first Li site, Li is bonded to two equivalent Li, six Mg, and four Zn atoms to form distorted LiLi2Mg6Zn4 cuboctahedra that share corners with six equivalent LiLi2Mg6Zn4 cuboctahedra, corners with twelve ZnLi4Mg6Zn2 cuboctahedra, edges with two equivalent LiLi2Mg6Zn4 cuboctahedra, edges with four equivalent ZnLi3Mg6Zn3 cuboctahedra, faces with eight LiLi2Mg6Zn4 cuboctahedra, and faces with ten ZnLi4Mg6Zn2 cuboctahedra. There are one shorter (2.62 Å) and one longer (2.63 Å) Li–Li bond lengths. There are a spread of Li–Mg bond distances ranging from 3.07–3.12 Å. There are a spread of Li–Zn bond distances ranging from 2.60–2.65 Å. In the second Li site, Li is bonded to six Mg and six Zn atoms to form distorted LiMg6Zn6 cuboctahedra that share corners with fifteen ZnLi3Mg6Zn3 cuboctahedra, edges with six equivalent ZnLi4Mg6Zn2 cuboctahedra, faces with six ZnLi4Mg6Zn2 cuboctahedra, and faces with thirteen LiLi2Mg6Zn4 cuboctahedra. All Li–Mg bond lengths are 3.06 Å. There are three shorter (2.65 Å) and three longer (2.67 Å) Li–Zn bond lengths. In the third Li site, Li is bonded to two equivalent Li, six Mg, and four Zn atoms to form distorted LiLi2Mg6Zn4 cuboctahedra that share corners with six equivalent LiLi2Mg6Zn4 cuboctahedra, corners with twelve ZnLi4Mg6Zn2 cuboctahedra, edges with two equivalent LiLi2Mg6Zn4 cuboctahedra, edges with four ZnLi2Mg6Zn4 cuboctahedra, faces with eight LiLi2Mg6Zn4 cuboctahedra, and faces with ten ZnLi3Mg6Zn3 cuboctahedra. Both Li–Li bond lengths are 2.62 Å. There are a spread of Li–Mg bond distances ranging from 3.07–3.12 Å. There are two shorter (2.60 Å) and two longer (2.65 Å) Li–Zn bond lengths. There are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to five Li, four Mg, and seven Zn atoms. There are a spread of Mg–Mg bond distances ranging from 3.18–3.29 Å. There are a spread of Mg–Zn bond distances ranging from 3.05–3.11 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to six equivalent Li, three equivalent Mg, and six Zn atoms. There are three shorter (3.04 Å) and three longer (3.06 Å) Mg–Zn bond lengths. In the third Mg site, Mg is bonded in a 12-coordinate geometry to six equivalent Li, three equivalent Mg, and six Zn atoms. All Mg–Mg bond lengths are 3.19 Å. All Mg–Zn bond lengths are 3.06 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to five Li, four Mg, and seven Zn atoms. The Mg–Mg bond length is 3.28 Å. There are a spread of Mg–Zn bond distances ranging from 3.07–3.13 Å. There are four inequivalent Zn sites. In the first Zn site, Zn is bonded to four Li, six Mg, and two equivalent Zn atoms to form distorted ZnLi4Mg6Zn2 cuboctahedra that share corners with eight LiLi2Mg6Zn4 cuboctahedra, corners with ten ZnLi3Mg6Zn3 cuboctahedra, edges with two equivalent ZnLi2Mg6Zn4 cuboctahedra, edges with four equivalent LiLi2Mg6Zn4 cuboctahedra, faces with six LiLi2Mg6Zn4 cuboctahedra, and faces with twelve ZnLi4Mg6Zn2 cuboctahedra. Both Zn–Zn bond lengths are 2.60 Å. In the second Zn site, Zn is bonded to four Li, six Mg, and two Zn atoms to form distorted ZnLi4Mg6Zn2 cuboctahedra that share corners with six ZnLi4Mg6Zn2 cuboctahedra, corners with nine LiLi2Mg6Zn4 cuboctahedra, edges with two equivalent LiMg6Zn6 cuboctahedra, edges with four equivalent ZnLi4Mg6Zn2 cuboctahedra, faces with eight LiLi2Mg6Zn4 cuboctahedra, and faces with eleven ZnLi4Mg6Zn2 cuboctahedra. There are one shorter (2.62 Å) and one longer (2.66 Å) Zn–Zn bond lengths. In the third Zn site, Zn is bonded to three Li, six Mg, and three Zn atoms to form distorted ZnLi3Mg6Zn3 cuboctahedra that share corners with eight ZnLi4Mg6Zn2 cuboctahedra, corners with ten LiLi2Mg6Zn4 cuboctahedra, edges with two equivalent ZnLi3Mg6Zn3 cuboctahedra, edges with four equivalent LiLi2Mg6Zn4 cuboctahedra, faces with seven LiLi2Mg6Zn4 cuboctahedra, and faces with eleven ZnLi4Mg6Zn2 cuboctahedra. Both Zn–Zn bond lengths are 2.63 Å. In the fourth Zn site, Zn is bonded to two equivalent Li, six Mg, and four Zn atoms to form distorted ZnLi2Mg6Zn4 cuboctahedra that share corners with six equivalent ZnLi3Mg6Zn3 cuboctahedra, corners with twelve LiLi2Mg6Zn4 cuboctahedra, edges with two equivalent ZnLi4Mg6Zn2 cuboctahedra, edges with four equivalent LiLi2Mg6Zn4 cuboctahedra, faces with eight LiLi2Mg6Zn4 cuboctahedra, and faces with ten ZnLi4Mg6Zn2 cuboctahedra. Both Zn–Zn bond lengths are 2.61 Å.

36 MATERIALS SCIENCE↗

Materials Data on Sr4Mn5O15 by Materials Project

Sr4Mn5O15 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.59–2.83 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.59–2.89 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with ten SrO12 cuboctahedra, faces with four SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.61–2.85 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with nine SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.55–2.90 Å. There are six inequivalent Mn+4.40+ sites. In the first Mn+4.40+ site, Mn+4.40+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–15°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the second Mn+4.40+ site, Mn+4.40+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–13°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mn–O bond length. In the third Mn+4.40+ site, Mn+4.40+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the fourth Mn+4.40+ site, Mn+4.40+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–14°. There is four shorter (1.93 Å) and two longer (1.94 Å) Mn–O bond length. In the fifth Mn+4.40+ site, Mn+4.40+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with six SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Mn–O bond distances ranging from 1.86–2.00 Å. In the sixth Mn+4.40+ site, Mn+4.40+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with seven SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+ and two Mn+4.40+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Mn+4.40+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Mn+4.40+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Mn+4.40+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Mn+4.40+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Mn+4.40+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Mn+4.40+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Mn+4.40+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Mn+4.40+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to three Sr2+ and two Mn+4.40+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Mn+4.40+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Mn+4.40+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Mn+4.40+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Mn+4.40+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to three Sr2+ and two Mn+4.40+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Tm4Fe34C3 by Materials Project

Tm4Fe34C3 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Tm sites. In the first Tm site, Tm is bonded in a distorted bent 120 degrees geometry to nine Fe and two C atoms. There are a spread of Tm–Fe bond distances ranging from 3.01–3.35 Å. There are one shorter (2.48 Å) and one longer (2.49 Å) Tm–C bond lengths. In the second Tm site, Tm is bonded in a distorted single-bond geometry to fourteen Fe and one C atom. There are a spread of Tm–Fe bond distances ranging from 2.98–3.30 Å. The Tm–C bond length is 2.50 Å. There are eighteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.45–2.64 Å. The Fe–C bond length is 1.91 Å. In the second Fe site, Fe is bonded in a single-bond geometry to seven Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.62 Å. The Fe–C bond length is 1.91 Å. In the third Fe site, Fe is bonded in a single-bond geometry to five Fe and one C atom. There are a spread of Fe–Fe bond distances ranging from 2.46–2.63 Å. The Fe–C bond length is 1.91 Å. In the fourth Fe site, Fe is bonded to three equivalent Tm and nine Fe atoms to form FeTm3Fe9 cuboctahedra that share corners with thirteen FeTm3Fe9 cuboctahedra, corners with two equivalent CTm2Fe4 octahedra, edges with seven FeTm3Fe9 cuboctahedra, faces with ten FeTm3Fe9 cuboctahedra, and a faceface with one CTm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 66–70°. There are a spread of Fe–Fe bond distances ranging from 2.45–2.65 Å. In the fifth Fe site, Fe is bonded to three equivalent Tm and nine Fe atoms to form FeTm3Fe9 cuboctahedra that share corners with ten FeTm3Fe9 cuboctahedra, corners with four CTm2Fe4 octahedra, edges with four FeTm3Fe9 cuboctahedra, faces with five FeTm3Fe9 cuboctahedra, and faces with two CTm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Fe–Fe bond distances ranging from 2.45–2.67 Å. In the sixth Fe site, Fe is bonded to three equivalent Tm and nine Fe atoms to form FeTm3Fe9 cuboctahedra that share corners with thirteen FeTm3Fe9 cuboctahedra, corners with two equivalent CTm2Fe4 octahedra, edges with six FeTm3Fe9 cuboctahedra, faces with ten FeTm3Fe9 cuboctahedra, and a faceface with one CTm2Fe4 octahedra. The corner-sharing octahedra tilt angles range from 65–69°. There are a spread of Fe–Fe bond distances ranging from 2.45–2.66 Å. In the seventh Fe site, Fe is bonded in a 2-coordinate geometry to one Tm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.39–2.78 Å. In the eighth Fe site, Fe is bonded in a 2-coordinate geometry to one Tm and thirteen Fe atoms. There are a spread of Fe–Fe bond distances ranging from 2.59–2.76 Å. In the ninth Fe site, Fe is bonded to two equivalent Tm and ten Fe atoms to form FeTm2Fe10 cuboctahedra that share corners with eight FeTm3Fe9 cuboctahedra, corners with two equivalent CTm2Fe4 octahedra, edges with two equivalent FeTm3Fe9 cuboctahedra, faces with six FeTm3Fe9 cuboctahedra, and faces with two equivalent CTm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 44°. There are two shorter (2.43 Å) and two longer (2.44 Å) Fe–Fe bond lengths. In the tenth Fe site, Fe is bonded to two equivalent Tm and ten Fe atoms to form FeTm2Fe10 cuboctahedra that share corners with eight FeTm3Fe9 cuboctahedra, corners with two equivalent CTm2Fe4 octahedra, edges with six FeTm3Fe9 cuboctahedra, and faces with ten FeTm3Fe9 cuboctahedra. The corner-sharing octahedral tilt angles are 44°. There are two shorter (2.42 Å) and two longer (2.43 Å) Fe–Fe bond lengths. In the eleventh Fe site, Fe is bonded to two Tm and ten Fe atoms to form distorted FeTm2Fe10 cuboctahedra that share corners with ten FeTm3Fe9 cuboctahedra, a cornercorner with one CTm2Fe4 octahedra, edges with four FeTm3Fe9 cuboctahedra, faces with eight FeTm3Fe9 cuboctahedra, and faces with two equivalent CTm2Fe4 octahedra. The corner-sharing octahedral tilt angles are 44°. There are a spread of Fe–Fe bond distances ranging from 2.41–2.44 Å. In the twelfth Fe site, Fe is bonded to two Tm and ten Fe atoms to form distorted FeTm2Fe10 cuboctahedra that share corners with thirteen FeTm3Fe9 cuboctahedra, edges with three FeTm3Fe9 cuboctahedra, faces with nine FeTm3Fe9 cuboctahedra, and faces with three CTm2Fe4 octahedra. There are one shorter (2.40 Å) and three longer (2.43 Å) Fe–Fe bond lengths. In the thirteenth Fe site, Fe is bonded in a single-bond geometry to seven Fe and one C atom. The Fe–Fe bond length is 2.47 Å. The Fe–C bond length is 1.85 Å. In the fourteenth Fe site, Fe is bonded in a single-bond geometry to seven Fe and one C atom. There are one shorter (2.46 Å) and one longer (2.47 Å) Fe–Fe bond lengths. The Fe–C bond length is 1.85 Å. In the fifteenth Fe site, Fe is bonded in a single-bond geometry to six Fe and one C atom. The Fe–Fe bond length is 2.46 Å. The Fe–C bond length is 1.85 Å. In the sixteenth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Tm and ten Fe atoms. The Fe–Fe bond length is 2.52 Å. In the seventeenth Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Tm and ten Fe atoms. In the eighteenth Fe site, Fe is bonded to two equivalent Tm and ten Fe atoms to form distorted FeTm2Fe10 cuboctahedra that share corners with nine FeTm3Fe9 cuboctahedra, corners with two equivalent CTm2Fe4 octahedra, edges with three FeTm3Fe9 cuboctahedra, an edgeedge with one CTm2Fe4 octahedra, and faces with twelve FeTm3Fe9 cuboctahedra. The corner-sharing octahedra tilt angles range from 25–30°. There are two inequivalent C sites. In the first C site, C is bonded to two Tm and four Fe atoms to form CTm2Fe4 octahedra that share corners with ten FeTm3Fe9 cuboctahedra, a cornercorner with one CTm2Fe4 octahedra, an edgeedge with one FeTm2Fe10 cuboctahedra, and faces with seven FeTm3Fe9 cuboctahedra. The corner-sharing octahedral tilt angles are 62°. In the second C site, C is bonded to two equivalent Tm and four Fe atoms to form CTm2Fe4 octahedra that share corners with six FeTm3Fe9 cuboctahedra, corners with two equivalent CTm2Fe4 octahedra, and faces with six FeTm2Fe10 cuboctahedra. The corner-sharing octahedral tilt angles are 62°.

36 MATERIALS SCIENCE↗

Materials Data on Ba3TmIrRuO9 by Materials Project

Ba3TmRuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three 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 IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent TmO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.91–3.09 Å. In the second 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, a faceface with one RuO6 octahedra, faces with three equivalent TmO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.92–3.10 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent TmO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are six shorter (2.96 Å) and six longer (2.99 Å) Ba–O bond lengths. Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are three shorter (2.18 Å) and three longer (2.21 Å) Tm–O bond lengths. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TmO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.96 Å) and three longer (2.06 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TmO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (1.99 Å) and three longer (2.05 Å) Ir–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+, one Ru5+, and one Ir4+ atom to form a mixture of distorted corner and face-sharing OBa4IrRu octahedra. The corner-sharing octahedra tilt angles range from 4–60°. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tm3+, and one Ru5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Tm3+, and one Ir4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba8Sr2Sm5(Cu3O7)5 by Materials Project

Ba8Sr2Sm5(Cu3O7)5 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are seven inequivalent Ba2+ sites. In the first 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 2.77–3.03 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 2.77–3.03 Å. In the third 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 2.77–3.03 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 2.77–3.04 Å. In the fifth 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 2.77–3.05 Å. In the sixth 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 2.77–3.02 Å. In the seventh 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 2.77–3.03 Å. There are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.76–3.00 Å. In the second Sr2+ site, Sr2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.76–3.00 Å. There are four inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.44 Å) and four longer (2.46 Å) Sm–O bond lengths. In the second Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.44 Å) and four longer (2.46 Å) Sm–O bond lengths. In the third Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are two shorter (2.44 Å) and six longer (2.46 Å) Sm–O bond lengths. In the fourth Sm3+ site, Sm3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.44–2.47 Å. There are thirteen inequivalent Cu+2.33+ sites. In the first Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.24 Å. In the second Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.21 Å. In the third Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.22 Å. In the fourth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.22 Å. In the fifth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.25 Å. In the sixth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.22 Å. In the seventh Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.14 Å. In the eighth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.95–2.14 Å. In the ninth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the tenth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the eleventh Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the twelfth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.87 Å) and two longer (1.97 Å) Cu–O bond length. In the thirteenth Cu+2.33+ site, Cu+2.33+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form distorted OBa4Cu2 octahedra that share corners with nine OSr4Cu2 octahedra, edges with four equivalent OBa4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–67°. In the second O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the third O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fifth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form distorted OBa4Cu2 octahedra that share corners with nine OBa4Cu2 octahedra, edges with four equivalent OBa4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–67°. In the sixth O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the seventh O2- site, O2- is bonded to four equivalent Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. The O–Cu bond length is 2.22 Å. In the eighth O2- site, O2- is bonded to four equivalent Sr2+ and two Cu+2.33+ atoms to form distorted OSr4Cu2 octahedra that share corners with nine OBa4Cu2 octahedra, edges with four equivalent OSr4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the ninth O2- site, O2- is bonded to four equivalent Sr2+ and two Cu+2.33+ atoms to form distorted OSr4Cu2 octahedra that share corners with nine OSr4Cu2 octahedra, edges with four equivalent OSr4Cu2 octahedra, and faces with two equivalent OBa2Sr2Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–65°. In the tenth O2- site, O2- is bonded to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Cu+2.33+ atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with ten OSr4Cu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with four OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 4–67°. In the eleventh O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the twelfth O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the thirteenth O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.33+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–66°. In the fourteenth O2- site, O2- is bonded to two equivalent Ba2+, two equivalent Sr2+, and two equivalent Cu+2.33+ atoms to form distorted OBa2Sr2Cu2 octahedra that share corners with ten OBa4Cu2 octahedra, edges with two equivalent OBa2Sr2Cu2 octahedra, and faces with four OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 4–67°. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. Both O–Sm bond lengths are 2.44 Å. Both O–Cu bond lengths are 1.99 Å. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. Both O–Sm bond lengths are 2.46 Å. Both O–Cu bond lengths are 1.95 Å. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Sr2+, two equivalent Sm3+, and two equivalent Cu+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3YIrRuO9 by Materials Project

Ba3YRuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three 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 IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent YO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.91–3.15 Å. In the second 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, a faceface with one RuO6 octahedra, faces with three equivalent YO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.91–3.18 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent YO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–2.99 Å. Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.21 Å) and three longer (2.25 Å) Y–O bond lengths. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent YO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (1.96 Å) and three longer (2.05 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent YO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (1.98 Å) and three longer (2.05 Å) Ir–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+, one Ru5+, and one Ir4+ atom to form a mixture of distorted face and corner-sharing OBa4IrRu octahedra. The corner-sharing octahedra tilt angles range from 4–60°. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Y3+, and one Ru5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Y3+, and one Ir4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3SmIrRuO9 by Materials Project

Ba3SmRuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three 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 IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent SmO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.92–3.20 Å. In the second 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, a faceface with one RuO6 octahedra, faces with three equivalent SmO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.92–3.22 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent SmO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are six shorter (3.00 Å) and six longer (3.02 Å) Ba–O bond lengths. Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are three shorter (2.26 Å) and three longer (2.29 Å) Sm–O bond lengths. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent SmO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.96 Å) and three longer (2.06 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent SmO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (1.98 Å) and three longer (2.05 Å) Ir–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Sm3+, and one Ru5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Sm3+, and one Ir4+ atom. In the third O2- site, O2- is bonded to four Ba2+, one Ru5+, and one Ir4+ atom to form a mixture of distorted face and corner-sharing OBa4IrRu octahedra. The corner-sharing octahedra tilt angles range from 4–60°.

36 MATERIALS SCIENCE↗

Materials Data on Ba2CaTb2Ti3(CuO7)2 by Materials Project

Ba2CaTb2Ti3(CuO7)2 crystallizes in the tetragonal P4mm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.78–3.11 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with four equivalent TbO12 cuboctahedra, a faceface with one TbO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, faces with four equivalent TiO6 octahedra, and faces with four equivalent CuO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.80–3.22 Å. Ca2+ is bonded in a 12-coordinate geometry to eight O2- atoms. There are four shorter (2.52 Å) and four longer (2.78 Å) Ca–O bond lengths. There are two inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are four shorter (2.42 Å) and four longer (2.44 Å) Tb–O bond lengths. In the second Tb3+ site, Tb3+ is bonded to twelve O2- atoms to form TbO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, corners with four equivalent TbO12 cuboctahedra, a faceface with one BaO12 cuboctahedra, faces with four equivalent TbO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Tb–O bond distances ranging from 2.62–2.76 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one CuO5 square pyramid, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Ti–O bond distances ranging from 1.86–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one CuO5 square pyramid, faces with four equivalent BaO12 cuboctahedra, and faces with four equivalent TbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Ti–O bond distances ranging from 1.88–2.00 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with four equivalent TbO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of Ti–O bond distances ranging from 1.87–1.97 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one TiO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.96 Å) and one longer (2.45 Å) Cu–O bond lengths. In the second Cu2+ site, Cu2+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one TiO6 octahedra, corners with four equivalent CuO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.96 Å) and one longer (2.49 Å) Cu–O bond lengths. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Ca2+, and two equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+, two equivalent Tb3+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+, two equivalent Tb3+, and two equivalent Cu2+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Tb3+, and two equivalent Cu2+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four equivalent Ba2+, one Ti4+, and one Cu2+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four equivalent Ba2+, one Ti4+, and one Cu2+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ca2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Tb3+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Tb3+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3GdIrRuO9 by Materials Project

Ba3GdRuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three 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 IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent GdO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.91–3.19 Å. In the second 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, a faceface with one RuO6 octahedra, faces with three equivalent GdO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.91–3.22 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent GdO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.99–3.01 Å. Gd3+ is bonded to six O2- atoms to form GdO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.24 Å) and three longer (2.27 Å) Gd–O bond lengths. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent GdO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (1.96 Å) and three longer (2.06 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent GdO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (1.99 Å) and three longer (2.05 Å) Ir–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ba2+, one Ru5+, and one Ir4+ atom to form a mixture of distorted corner and face-sharing OBa4IrRu octahedra. The corner-sharing octahedra tilt angles range from 4–60°. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Gd3+, and one Ru5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Gd3+, and one Ir4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3LuIrRuO9 by Materials Project

Ba3LuRuIrO9 is (Cubic) Perovskite-derived structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are three 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 IrO6 octahedra, faces with seven BaO12 cuboctahedra, a faceface with one IrO6 octahedra, faces with three equivalent LuO6 octahedra, and faces with three equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.93–3.05 Å. In the second 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, a faceface with one RuO6 octahedra, faces with three equivalent LuO6 octahedra, and faces with three equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. There are a spread of Ba–O bond distances ranging from 2.92–3.09 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with two equivalent LuO6 octahedra, faces with three equivalent RuO6 octahedra, and faces with three equivalent IrO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.96–2.99 Å. Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with three equivalent RuO6 octahedra, corners with three equivalent IrO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are three shorter (2.16 Å) and three longer (2.19 Å) Lu–O bond lengths. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent LuO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (1.96 Å) and three longer (2.04 Å) Ru–O bond lengths. Ir4+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent LuO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (1.99 Å) and three longer (2.05 Å) Ir–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Lu3+, and one Ru5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Lu3+, and one Ir4+ atom. In the third O2- site, O2- is bonded to four Ba2+, one Ru5+, and one Ir4+ atom to form a mixture of distorted face and corner-sharing OBa4IrRu octahedra. The corner-sharing octahedra tilt angles range from 4–60°.

36 MATERIALS SCIENCE↗

Materials Data on ZrMnCr by Materials Project

ZrCrMn crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Zr sites. In the first Zr site, Zr is bonded in a 12-coordinate geometry to four Zr, seven Cr, and five Mn atoms. There are two shorter (3.07 Å) and two longer (3.09 Å) Zr–Zr bond lengths. There are a spread of Zr–Cr bond distances ranging from 2.95–2.98 Å. There are a spread of Zr–Mn bond distances ranging from 2.88–2.95 Å. In the second Zr site, Zr is bonded in a 12-coordinate geometry to four Zr, five Cr, and seven Mn atoms. The Zr–Zr bond length is 3.01 Å. There are two shorter (2.93 Å) and three longer (2.94 Å) Zr–Cr bond lengths. There are four shorter (2.93 Å) and three longer (2.94 Å) Zr–Mn bond lengths. There are three inequivalent Cr sites. In the first Cr site, Cr is bonded to six Zr, two Cr, and four Mn atoms to form CrZr6Mn4Cr2 cuboctahedra that share corners with four CrZr6Mn2Cr4 cuboctahedra, corners with eight MnZr6Cr6 cuboctahedra, edges with six equivalent CrZr6Mn4Cr2 cuboctahedra, faces with eight CrZr6Mn4Cr2 cuboctahedra, and faces with twelve MnZr6Cr6 cuboctahedra. Both Cr–Cr bond lengths are 2.56 Å. There are a spread of Cr–Mn bond distances ranging from 2.45–2.56 Å. In the second Cr site, Cr is bonded to six Zr, four Cr, and two equivalent Mn atoms to form CrZr6Mn2Cr4 cuboctahedra that share corners with eight CrZr6Mn4Cr2 cuboctahedra, corners with ten MnZr6Mn4Cr2 cuboctahedra, edges with two equivalent CrZr6Mn2Cr4 cuboctahedra, edges with four equivalent MnZr6Mn4Cr2 cuboctahedra, faces with eight MnZr6Cr6 cuboctahedra, and faces with ten CrZr6Mn4Cr2 cuboctahedra. There are one shorter (2.51 Å) and one longer (2.52 Å) Cr–Cr bond lengths. There are one shorter (2.52 Å) and one longer (2.54 Å) Cr–Mn bond lengths. In the third Cr site, Cr is bonded to six Zr, four Cr, and two equivalent Mn atoms to form CrZr6Mn2Cr4 cuboctahedra that share corners with eight CrZr6Mn4Cr2 cuboctahedra, corners with ten MnZr6Mn4Cr2 cuboctahedra, edges with two equivalent CrZr6Mn2Cr4 cuboctahedra, edges with four equivalent MnZr6Mn4Cr2 cuboctahedra, faces with eight MnZr6Cr6 cuboctahedra, and faces with ten CrZr6Mn4Cr2 cuboctahedra. There are one shorter (2.51 Å) and one longer (2.53 Å) Cr–Mn bond lengths. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded to six Zr and six Cr atoms to form MnZr6Cr6 cuboctahedra that share corners with four equivalent CrZr6Mn4Cr2 cuboctahedra, corners with fourteen MnZr6Cr6 cuboctahedra, edges with six MnZr6Cr6 cuboctahedra, faces with four MnZr6Mn4Cr2 cuboctahedra, and faces with fourteen CrZr6Mn4Cr2 cuboctahedra. In the second Mn site, Mn is bonded to six Zr, two equivalent Cr, and four Mn atoms to form distorted MnZr6Mn4Cr2 cuboctahedra that share corners with eight MnZr6Cr6 cuboctahedra, corners with ten CrZr6Mn4Cr2 cuboctahedra, edges with two equivalent MnZr6Mn4Cr2 cuboctahedra, edges with four equivalent CrZr6Mn2Cr4 cuboctahedra, faces with eight CrZr6Mn4Cr2 cuboctahedra, and faces with ten MnZr6Cr6 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.45–2.58 Å. In the third Mn site, Mn is bonded to six Zr, two equivalent Cr, and four Mn atoms to form distorted MnZr6Mn4Cr2 cuboctahedra that share corners with eight MnZr6Cr6 cuboctahedra, corners with ten CrZr6Mn4Cr2 cuboctahedra, edges with two equivalent MnZr6Mn4Cr2 cuboctahedra, edges with four equivalent CrZr6Mn2Cr4 cuboctahedra, faces with eight CrZr6Mn4Cr2 cuboctahedra, and faces with ten MnZr6Cr6 cuboctahedra. There are one shorter (2.46 Å) and one longer (2.58 Å) Mn–Mn bond lengths. In the fourth Mn site, Mn is bonded to six Zr, two equivalent Cr, and four Mn atoms to form distorted MnZr6Mn4Cr2 cuboctahedra that share corners with six MnZr6Cr6 cuboctahedra, corners with twelve CrZr6Mn4Cr2 cuboctahedra, edges with six MnZr6Cr6 cuboctahedra, faces with eight MnZr6Mn4Cr2 cuboctahedra, and faces with ten CrZr6Mn4Cr2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ga2FeNi9 by Materials Project

FeNi9Ga2 is beta Cu3Ti-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Fe is bonded to twelve Ni atoms to form FeNi12 cuboctahedra that share corners with four equivalent FeNi12 cuboctahedra, corners with eight equivalent GaNi12 cuboctahedra, edges with twenty-four NiGa4Ni8 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, faces with four equivalent FeNi12 cuboctahedra, and faces with twelve NiFe4Ni8 cuboctahedra. There are eight shorter (2.45 Å) and four longer (2.51 Å) Fe–Ni bond lengths. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded to four equivalent Fe and eight equivalent Ni atoms to form NiFe4Ni8 cuboctahedra that share corners with twelve NiFe4Ni8 cuboctahedra, edges with eight equivalent GaNi12 cuboctahedra, edges with sixteen equivalent NiGa2Fe2Ni8 cuboctahedra, faces with four equivalent FeNi12 cuboctahedra, and faces with fourteen NiFe4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.45 Å. In the second Ni site, Ni is bonded to eight Ni and four equivalent Ga atoms to form NiGa4Ni8 cuboctahedra that share corners with twelve NiFe4Ni8 cuboctahedra, edges with four equivalent FeNi12 cuboctahedra, edges with four equivalent GaNi12 cuboctahedra, edges with sixteen NiGa2Fe2Ni8 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with fourteen NiFe4Ni8 cuboctahedra. There are four shorter (2.53 Å) and four longer (2.54 Å) Ni–Ni bond lengths. All Ni–Ga bond lengths are 2.51 Å. In the third Ni site, Ni is bonded to two equivalent Fe, eight Ni, and two equivalent Ga atoms to form NiGa2Fe2Ni8 cuboctahedra that share corners with twelve NiGa2Fe2Ni8 cuboctahedra, edges with four equivalent FeNi12 cuboctahedra, edges with four equivalent GaNi12 cuboctahedra, edges with sixteen NiFe4Ni8 cuboctahedra, faces with two equivalent FeNi12 cuboctahedra, faces with two equivalent GaNi12 cuboctahedra, and faces with fourteen NiFe4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. Both Ni–Ga bond lengths are 2.56 Å. In the fourth Ni site, Ni is bonded to eight Ni and four equivalent Ga atoms to form NiGa4Ni8 cuboctahedra that share corners with twelve NiGa2Fe2Ni8 cuboctahedra, edges with eight equivalent GaNi12 cuboctahedra, edges with sixteen NiGa4Ni8 cuboctahedra, faces with four equivalent GaNi12 cuboctahedra, and faces with fourteen NiGa4Ni8 cuboctahedra. All Ni–Ni bond lengths are 2.51 Å. All Ni–Ga bond lengths are 2.51 Å. Ga is bonded to twelve Ni atoms to form GaNi12 cuboctahedra that share corners with four equivalent FeNi12 cuboctahedra, corners with eight equivalent GaNi12 cuboctahedra, edges with twenty-four NiFe4Ni8 cuboctahedra, a faceface with one FeNi12 cuboctahedra, faces with five equivalent GaNi12 cuboctahedra, and faces with twelve NiGa4Ni8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on NaSr3LaTi5O15 by Materials Project

NaSr3LaTi5O15 crystallizes in the tetragonal I-42m space group. The structure is three-dimensional. Na1+ is bonded to twelve O2- atoms to form distorted NaO12 cuboctahedra that share corners with four equivalent SrO12 cuboctahedra, corners with eight equivalent NaO12 cuboctahedra, a faceface with one SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Na–O bond distances ranging from 2.56–3.01 Å. There are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with four equivalent NaO12 cuboctahedra, corners with eight SrO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.63–2.94 Å. In the second Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.69–2.90 Å. In the third Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share corners with eight SrO12 cuboctahedra, a faceface with one NaO12 cuboctahedra, faces with five SrO12 cuboctahedra, and faces with eight TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.64–3.02 Å. In the fourth Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form SrO12 cuboctahedra that share corners with twelve SrO12 cuboctahedra, faces with six SrO12 cuboctahedra, and faces with eight equivalent TiO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.68–2.91 Å. La3+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of La–O bond distances ranging from 2.50–3.06 Å. There are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with four equivalent NaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–21°. There is two shorter (1.95 Å) and four longer (1.99 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with eight SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–9°. There is four shorter (1.96 Å) and two longer (1.99 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, faces with two equivalent NaO12 cuboctahedra, and faces with four SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Ti–O bond distances ranging from 1.95–1.99 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Na1+, two equivalent La3+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Na1+, two equivalent La3+, and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Sr2+, one La3+, and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Sr2+, one La3+, and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mg23B54 by Materials Project

Li4Mg23B54 is hexagonal omega structure-derived structured and crystallizes in the hexagonal P6/mmm space group. The structure is three-dimensional. there are two inequivalent Li sites. In the first Li site, Li is bonded to twelve B atoms to form LiB12 cuboctahedra that share edges with twelve MgB12 cuboctahedra, faces with two MgB12 cuboctahedra, and faces with six equivalent LiB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.49 Å) Li–B bond lengths. In the second Li site, Li is bonded to twelve B atoms to form LiB12 cuboctahedra that share edges with twelve MgB12 cuboctahedra, faces with two MgB12 cuboctahedra, and faces with six equivalent LiB12 cuboctahedra. All Li–B bond lengths are 2.48 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven MgB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.51 Å) Mg–B bond lengths. In the second Mg site, Mg is bonded to twelve B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. In the third Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven MgB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.53 Å) Mg–B bond lengths. In the fourth Mg site, Mg is bonded to twelve equivalent B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. In the fifth Mg site, Mg is bonded to twelve B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. There are six shorter (2.49 Å) and six longer (2.50 Å) Mg–B bond lengths. In the sixth Mg site, Mg is bonded to twelve equivalent B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. In the seventh Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven equivalent MgB12 cuboctahedra. There are six shorter (2.48 Å) and six longer (2.52 Å) Mg–B bond lengths. In the eighth Mg site, Mg is bonded to twelve B atoms to form MgB12 cuboctahedra that share edges with six equivalent LiB12 cuboctahedra, edges with six equivalent MgB12 cuboctahedra, a faceface with one LiB12 cuboctahedra, and faces with seven MgB12 cuboctahedra. There are six shorter (2.49 Å) and six longer (2.52 Å) Mg–B bond lengths. In the ninth Mg site, Mg is bonded to twelve B atoms to form a mixture of edge and face-sharing MgB12 cuboctahedra. All Mg–B bond lengths are 2.50 Å. There are ten inequivalent B sites. In the first B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the second B site, B is bonded in a 9-coordinate geometry to six equivalent Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the third B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the fourth B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the fifth B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the sixth B site, B is bonded in a 9-coordinate geometry to six Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the seventh B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the eighth B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the ninth B site, B is bonded in a 9-coordinate geometry to six equivalent Mg and three equivalent B atoms. All B–B bond lengths are 1.77 Å. In the tenth B site, B is bonded in a 9-coordinate geometry to three equivalent Li, three equivalent Mg, and three equivalent B atoms. All B–B bond lengths are 1.77 Å.

36 MATERIALS SCIENCE↗

Materials Data on K2LiAlF6 by Materials Project

K2LiAlF6 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are three inequivalent K1+ sites. In the first K1+ site, K1+ is bonded to twelve F1- atoms to form KF12 cuboctahedra that share corners with nine KF12 cuboctahedra, corners with three equivalent LiF6 octahedra, faces with seven KF12 cuboctahedra, faces with three equivalent LiF6 octahedra, and faces with four equivalent AlF6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of K–F bond distances ranging from 2.81–2.88 Å. In the second K1+ site, K1+ is bonded to twelve F1- atoms to form KF12 cuboctahedra that share corners with twelve KF12 cuboctahedra, faces with six KF12 cuboctahedra, faces with four LiF6 octahedra, and faces with four AlF6 octahedra. There are nine shorter (2.85 Å) and three longer (2.89 Å) K–F bond lengths. In the third K1+ site, K1+ is bonded to twelve F1- atoms to form distorted KF12 cuboctahedra that share corners with nine KF12 cuboctahedra, corners with three equivalent AlF6 octahedra, faces with seven KF12 cuboctahedra, faces with three equivalent AlF6 octahedra, and faces with four equivalent LiF6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of K–F bond distances ranging from 2.79–3.10 Å. There are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three equivalent KF12 cuboctahedra, corners with three equivalent AlF6 octahedra, faces with seven KF12 cuboctahedra, and a faceface with one AlF6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are three shorter (2.01 Å) and three longer (2.16 Å) Li–F bond lengths. In the second Li1+ site, Li1+ is bonded to six equivalent F1- atoms to form LiF6 octahedra that share corners with six equivalent AlF6 octahedra and faces with eight KF12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Li–F bond lengths are 2.15 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six F1- atoms to form AlF6 octahedra that share corners with three equivalent KF12 cuboctahedra, corners with three equivalent LiF6 octahedra, faces with seven KF12 cuboctahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Al–F bond lengths are 1.84 Å. In the second Al3+ site, Al3+ is bonded to six equivalent F1- atoms to form AlF6 octahedra that share corners with six equivalent LiF6 octahedra and faces with eight KF12 cuboctahedra. The corner-sharing octahedral tilt angles are 7°. All Al–F bond lengths are 1.84 Å. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted linear geometry to four K1+, one Li1+, and one Al3+ atom. In the second F1- site, F1- is bonded in a 2-coordinate geometry to four K1+, one Li1+, and one Al3+ atom. In the third F1- site, F1- is bonded in a distorted linear geometry to four K1+, one Li1+, and one Al3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cs2NaTiF6 by Materials Project

Cs2NaTiF6 crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are three inequivalent Cs1+ sites. In the first Cs1+ site, Cs1+ is bonded to twelve F1- atoms to form CsF12 cuboctahedra that share corners with nine CsF12 cuboctahedra, corners with three equivalent NaF6 octahedra, faces with seven CsF12 cuboctahedra, faces with three equivalent NaF6 octahedra, and faces with four equivalent TiF6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Cs–F bond distances ranging from 3.12–3.21 Å. In the second Cs1+ site, Cs1+ is bonded to twelve F1- atoms to form CsF12 cuboctahedra that share corners with twelve CsF12 cuboctahedra, faces with six CsF12 cuboctahedra, faces with four NaF6 octahedra, and faces with four TiF6 octahedra. There are a spread of Cs–F bond distances ranging from 3.16–3.22 Å. In the third Cs1+ site, Cs1+ is bonded to twelve F1- atoms to form distorted CsF12 cuboctahedra that share corners with nine CsF12 cuboctahedra, corners with three equivalent TiF6 octahedra, faces with seven CsF12 cuboctahedra, faces with three equivalent TiF6 octahedra, and faces with four equivalent NaF6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Cs–F bond distances ranging from 3.17–3.39 Å. There are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six F1- atoms to form distorted NaF6 octahedra that share corners with three equivalent CsF12 cuboctahedra, corners with three equivalent TiF6 octahedra, faces with seven CsF12 cuboctahedra, and a faceface with one TiF6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are three shorter (2.30 Å) and three longer (2.41 Å) Na–F bond lengths. In the second Na1+ site, Na1+ is bonded to six equivalent F1- atoms to form NaF6 octahedra that share corners with six equivalent TiF6 octahedra and faces with eight CsF12 cuboctahedra. The corner-sharing octahedral tilt angles are 1°. All Na–F bond lengths are 2.43 Å. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six F1- atoms to form TiF6 octahedra that share corners with three equivalent CsF12 cuboctahedra, corners with three equivalent NaF6 octahedra, faces with seven CsF12 cuboctahedra, and a faceface with one NaF6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are three shorter (2.00 Å) and three longer (2.01 Å) Ti–F bond lengths. In the second Ti3+ site, Ti3+ is bonded to six equivalent F1- atoms to form TiF6 octahedra that share corners with six equivalent NaF6 octahedra and faces with eight CsF12 cuboctahedra. The corner-sharing octahedral tilt angles are 5°. All Ti–F bond lengths are 2.01 Å. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted linear geometry to four Cs1+, one Na1+, and one Ti3+ atom. In the second F1- site, F1- is bonded in a 2-coordinate geometry to four Cs1+, one Na1+, and one Ti3+ atom. In the third F1- site, F1- is bonded in a distorted linear geometry to four Cs1+, one Na1+, and one Ti3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2InRuO6 by Materials Project

Ba2RuInO6 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are three 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 InO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent InO6 octahedra, and faces with four equivalent RuO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Ba–O bond distances ranging from 2.85–3.13 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 BaO12 cuboctahedra, faces with four RuO6 octahedra, and faces with four InO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.03 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 seven BaO12 cuboctahedra, faces with three equivalent RuO6 octahedra, and faces with four equivalent InO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ba–O bond distances ranging from 2.98–3.09 Å. There are two inequivalent Ru5+ sites. In the first Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent InO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one InO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (1.97 Å) and three longer (2.03 Å) Ru–O bond lengths. In the second Ru5+ site, Ru5+ is bonded to six equivalent O2- atoms to form RuO6 octahedra that share corners with six equivalent InO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. All Ru–O bond lengths are 1.98 Å. There are two inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent RuO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (2.13 Å) and three longer (2.21 Å) In–O bond lengths. In the second In3+ site, In3+ is bonded to six equivalent O2- atoms to form InO6 octahedra that share corners with six equivalent RuO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. All In–O bond lengths are 2.17 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ru5+, and one In3+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ru5+, and one In3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ru5+, and one In3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2InIrO6 by Materials Project

Ba2IrInO6 is (Cubic) Perovskite-derived structured and crystallizes in the trigonal P-3m1 space group. The structure is three-dimensional. there are three 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 IrO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent IrO6 octahedra, and faces with four equivalent InO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ba–O bond distances ranging from 2.98–3.10 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent InO6 octahedra, faces with seven BaO12 cuboctahedra, faces with three equivalent InO6 octahedra, and faces with four equivalent IrO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Ba–O bond distances ranging from 2.84–3.17 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with four IrO6 octahedra, and faces with four InO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.97–3.05 Å. There are two inequivalent Ir5+ sites. In the first Ir5+ site, Ir5+ is bonded to six equivalent O2- atoms to form IrO6 octahedra that share corners with six equivalent InO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 3°. All Ir–O bond lengths are 1.99 Å. In the second Ir5+ site, Ir5+ is bonded to six O2- atoms to form IrO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent InO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one InO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three shorter (1.98 Å) and three longer (2.03 Å) Ir–O bond lengths. There are two inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent IrO6 octahedra, faces with seven BaO12 cuboctahedra, and a faceface with one IrO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are three shorter (2.13 Å) and three longer (2.21 Å) In–O bond lengths. In the second In3+ site, In3+ is bonded to six equivalent O2- atoms to form InO6 octahedra that share corners with six equivalent IrO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 4°. All In–O bond lengths are 2.16 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one In3+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+, one Ir5+, and one In3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Ir5+, and one In3+ atom.

36 MATERIALS SCIENCE↗