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Materials Data on BaO6 by Materials Project

BaO6 crystallizes in the orthorhombic Pbca space group. The structure is three-dimensional. Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.77–2.99 Å. There are six inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom. The O–O bond length is 1.30 Å. In the second O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom. The O–O bond length is 1.32 Å. In the third O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom. The O–O bond length is 1.31 Å. In the fourth O site, O is bonded in a distorted trigonal planar geometry to two equivalent Ba and one O atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom. In the sixth O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom.

36 MATERIALS SCIENCE↗

Materials Data on BaO6 by Materials Project

BaO6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Ba is bonded in a 10-coordinate geometry to ten O atoms. There are a spread of Ba–O bond distances ranging from 2.71–2.97 Å. There are three inequivalent O sites. In the first O site, O is bonded in a distorted bent 120 degrees geometry to one Ba and one O atom. The O–O bond length is 1.29 Å. In the second O site, O is bonded in a distorted trigonal non-coplanar geometry to two equivalent Ba and one O atom. In the third O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom. The O–O bond length is 1.35 Å.

36 MATERIALS SCIENCE↗

Materials Data on BaO6 by Materials Project

BaO6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Ba is bonded in a 12-coordinate geometry to twelve O atoms. There are a spread of Ba–O bond distances ranging from 2.72–3.07 Å. There are three inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two equivalent Ba and one O atom. The O–O bond length is 1.29 Å. In the second O site, O is bonded in a distorted trigonal non-coplanar geometry to two equivalent Ba and one O atom. In the third O site, O is bonded in a distorted T-shaped geometry to two equivalent Ba and one O atom. The O–O bond length is 1.35 Å.

36 MATERIALS SCIENCE↗

Materials Data on KBa6Zn4(GaO3)7 by Materials Project

KBa6Zn4(GaO3)7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.87–2.97 Å. In the second K1+ site, K1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of K–O bond distances ranging from 2.89–2.97 Å. There are twelve inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with two ZnO4 tetrahedra, corners with seven GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Ba–O bond distances ranging from 2.64–2.83 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.57–2.87 Å. In the third Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.58–2.87 Å. In the fourth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with two ZnO4 tetrahedra, corners with seven GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Ba–O bond distances ranging from 2.65–2.82 Å. In the fifth Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, corners with six GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–76°. There are a spread of Ba–O bond distances ranging from 2.64–2.82 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.56–2.86 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.61–2.85 Å. In the eighth Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with eight GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Ba–O bond distances ranging from 2.65–2.79 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–2.83 Å. In the tenth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with two ZnO4 tetrahedra, corners with seven GaO4 tetrahedra, and an edgeedge with one ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 73–76°. There are a spread of Ba–O bond distances ranging from 2.62–2.83 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.57–2.83 Å. In the twelfth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, corners with six GaO4 tetrahedra, and an edgeedge with one GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 73–74°. There are a spread of Ba–O bond distances ranging from 2.69–2.79 Å. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–84°. There are a spread of Zn–O bond distances ranging from 1.96–2.09 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with four GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 74°. There are a spread of Zn–O bond distances ranging from 1.97–2.10 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, corners with five GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Zn–O bond distances ranging from 1.96–2.08 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with four GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–81°. There are a spread of Zn–O bond distances ranging from 1.98–2.02 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, corners with five GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 74°. There are a spread of Zn–O bond distances ranging from 1.96–2.06 Å. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with four GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 75°. There are a spread of Zn–O bond distances ranging from 1.97–2.09 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, corners with four GaO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Zn–O bond distances ranging from 1.98–2.06 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with two BaO6 octahedra, a cornercorner with one ZnO4 tetrahedra, and corners with five GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–71°. There are a spread of Zn–O bond distances ranging from 1.97–2.02 Å. There are fourteen inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 64–66°. There are a spread of Ga–O bond distances ranging from 1.85–1.94 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.94 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra and corners with three ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–44°. There is three shorter (1.86 Å) and one longer (1.95 Å) Ga–O bond length. In the fourth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six BaO6 octahedra, a cornercorner with one GaO4 tetrahedra, and corners with two ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 60–70°. There are a spread of Ga–O bond distances ranging from 1.86–1.93 Å. In the fifth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–69°. There are a spread of Ga–O bond distances ranging from 1.85–1.94 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–81°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the seventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 69–81°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 68–69°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the ninth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two BaO6 octahedra, corners with three ZnO4 tetrahedra, and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–69°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, a cornercorner with one GaO4 tetrahedra, and corners with two ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the eleventh Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two GaO4 tetrahedra, and corners with three ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 70–82°. There are a spread of Ga–O bond distances ranging from 1.87–1.90 Å. In the twelfth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three BaO6 octahedra, corners with two GaO4 tetrahedra, and corners with three ZnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 66–79°. There are a spread of Ga–O bond distances ranging from 1.85–1.92 Å. In the thirteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one BaO6 octahedra, corners with two GaO4 tetrahedra, corners with three ZnO4 tetrahedra, and an edgeedge with one BaO6 octahedra. The corner-sharing octahedral tilt angles are 70°. There are a spread of Ga–O bond distances ranging from 1.86–1.91 Å. In the fourteenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six BaO6 octahedra and corners with three GaO4 tetrahedra. The corner-sharing octahedra tilt angles range from 62–67°. There are a spread of Ga–O bond distances ranging from 1.85–1.90 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ga3+ atoms. In the second O2- site, O2- is bonded to two Ba2+, one Zn2+, and one Ga3+ atom to form distorted OBa2ZnGa tetrahedra that share corners with five OBa3Ga tetrahedra and a cornercorner with one OKBa3Ga trigonal bipyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Zn2+, and two Ga3+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to one K1+, two Ba2+, and two Zn2+ atoms. In the fifth O2- site, O2- is bonded to two Ba2+, one Zn2+, and one Ga3+ atom to form distorted OBa2ZnGa tetrahedra that share corners with six OBa3Ga tetrahedra and a cornercorner with one OKBa3Ga trigonal bipyramid. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, one Zn2+, and one Ga3+ atom. In the seventh O2- sit

36 MATERIALS SCIENCE↗

Materials Data on Ba3GeO5 by Materials Project

Ba3GeO5 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 pentagonal pyramids that share a cornercorner with one BaO6 octahedra, corners with two BaO6 pentagonal pyramids, corners with four GeO4 tetrahedra, faces with two BaO6 octahedra, and faces with two BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ba–O bond distances ranging from 2.70–2.78 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–2.95 Å. In the third Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 pentagonal pyramids that share a cornercorner with one BaO6 octahedra, corners with two equivalent BaO6 pentagonal pyramids, corners with four GeO4 tetrahedra, faces with two equivalent BaO6 octahedra, and faces with two equivalent BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ba–O bond distances ranging from 2.70–2.79 Å. In the fourth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two equivalent BaO6 octahedra, a cornercorner with one BaO6 pentagonal pyramid, corners with four GeO4 tetrahedra, edges with two equivalent BaO6 octahedra, and faces with two equivalent BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 81°. There are a spread of Ba–O bond distances ranging from 2.66–2.92 Å. In the fifth Ba2+ site, Ba2+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–2.93 Å. In the sixth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two BaO6 octahedra, a cornercorner with one BaO6 pentagonal pyramid, corners with four GeO4 tetrahedra, edges with two BaO6 octahedra, and faces with two BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 81°. There are a spread of Ba–O bond distances ranging from 2.65–2.93 Å. There are three inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with six BaO6 octahedra and corners with three BaO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–55°. There is one shorter (1.78 Å) and three longer (1.79 Å) Ge–O bond length. In the second Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with three BaO6 octahedra and corners with six BaO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 55–57°. There is one shorter (1.78 Å) and three longer (1.79 Å) Ge–O bond length. In the third Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with three BaO6 octahedra and corners with three BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 59°. There is three shorter (1.79 Å) and one longer (1.80 Å) Ge–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the second O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of corner and face-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and one Ge4+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+ and one Ge4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the eighth O2- site, O2- is bonded to three Ba2+ and one Ge4+ atom to form distorted corner-sharing OBa3Ge tetrahedra. The corner-sharing octahedra tilt angles range from 11–65°. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the tenth O2- site, O2- is bonded to six Ba2+ atoms to form OBa6 octahedra that share corners with three equivalent OBa6 octahedra, corners with three equivalent OBa3Ge tetrahedra, and a faceface with one OBa6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the eleventh O2- site, O2- is bonded to six Ba2+ atoms to form OBa6 octahedra that share corners with three equivalent OBa3Ge tetrahedra and faces with two OBa6 octahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba3GeO5 by Materials Project

Ba3GeO5 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–2.83 Å. In the second Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with two equivalent BaO6 octahedra, a cornercorner with one BaO6 pentagonal pyramid, corners with four GeO4 tetrahedra, edges with two equivalent BaO6 pentagonal pyramids, and faces with two equivalent BaO6 octahedra. The corner-sharing octahedral tilt angles are 81°. There are a spread of Ba–O bond distances ranging from 2.71–2.81 Å. In the third Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 pentagonal pyramids that share a cornercorner with one BaO6 octahedra, corners with two equivalent BaO6 pentagonal pyramids, corners with four GeO4 tetrahedra, edges with two equivalent BaO6 octahedra, and faces with two equivalent BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.70–2.78 Å. There are three inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with six equivalent BaO6 octahedra and corners with three equivalent BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 54°. There is three shorter (1.79 Å) and one longer (1.80 Å) Ge–O bond length. In the second Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with three equivalent BaO6 octahedra and corners with three equivalent BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 62°. There is three shorter (1.79 Å) and one longer (1.80 Å) Ge–O bond length. In the third Ge4+ site, Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with three equivalent BaO6 octahedra and corners with six equivalent BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 55°. There is one shorter (1.78 Å) and three longer (1.79 Å) Ge–O bond length. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Ba2+ and one Ge4+ atom to form distorted corner-sharing OBa3Ge tetrahedra. The corner-sharing octahedra tilt angles range from 11–63°. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the fifth O2- site, O2- is bonded to six Ba2+ atoms to form OBa6 octahedra that share corners with three equivalent OBa6 octahedra, corners with three equivalent OBa3Ge tetrahedra, and a faceface with one OBa6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the sixth O2- site, O2- is bonded to six Ba2+ atoms to form OBa6 octahedra that share corners with six OBa3Ge tetrahedra and faces with two OBa6 octahedra. In the seventh O2- site, O2- is bonded to six Ba2+ atoms to form OBa6 octahedra that share corners with three equivalent OBa6 octahedra, corners with three equivalent OBa3Ge tetrahedra, and a faceface with one OBa6 octahedra. The corner-sharing octahedral tilt angles are 2°. In the eighth O2- site, O2- is bonded to three equivalent Ba2+ and one Ge4+ atom to form distorted corner-sharing OBa3Ge tetrahedra. The corner-sharing octahedra tilt angles range from 8–65°. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to three equivalent Ba2+ and one Ge4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2GeO4 by Materials Project

Ba2GeO4 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with four equivalent BaO6 pentagonal pyramids, corners with two equivalent GeO4 tetrahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent BaO6 pentagonal pyramids, and edges with two equivalent GeO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.66–2.77 Å. In the second Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 pentagonal pyramids that share corners with four equivalent BaO6 octahedra, corners with four equivalent BaO6 pentagonal pyramids, corners with four equivalent GeO4 tetrahedra, edges with two equivalent BaO6 octahedra, and an edgeedge with one GeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 65–76°. There are a spread of Ba–O bond distances ranging from 2.64–2.80 Å. Ge4+ is bonded to four O2- atoms to form GeO4 tetrahedra that share corners with two equivalent BaO6 octahedra, corners with four equivalent BaO6 pentagonal pyramids, edges with two equivalent BaO6 octahedra, and an edgeedge with one BaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ge–O bond distances ranging from 1.78–1.81 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ge4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to three Ba2+ and one Ge4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaP4O11 by Materials Project

BaP4O11 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.64–2.77 Å. In the second Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.68–2.80 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BaO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–49°. There are a spread of P–O bond distances ranging from 1.48–1.65 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BaO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedral tilt angles are 18°. There are a spread of P–O bond distances ranging from 1.47–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BaO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BaO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one BaO6 octahedra and corners with three PO4 tetrahedra. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.47–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BaO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.48–1.66 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BaO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 43–64°. There is two shorter (1.49 Å) and two longer (1.64 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two BaO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.48–1.66 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Ba2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ba2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to one Ba2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba6Pr2Co4O15 by Materials Project

Ba6Pr2Co4O15 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share faces with two equivalent CoO6 octahedra and faces with three CoO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.76–3.34 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share faces with two equivalent CoO6 octahedra and faces with three CoO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.71–3.30 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 2.73–3.36 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 2.76–3.40 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 2.81–3.41 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 2.75–3.32 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.20 Å. In the eighth 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 2.78–3.45 Å. In the ninth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–2.86 Å. In the tenth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–2.87 Å. In the eleventh Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with six CoO4 tetrahedra and faces with two equivalent BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.58–2.78 Å. In the twelfth Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with six CoO4 tetrahedra and faces with two equivalent BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.60–2.75 Å. There are four inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.41–2.69 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.39–2.73 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.44–2.71 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.73 Å. There are eight inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–64°. There are a spread of Co–O bond distances ranging from 1.80–1.95 Å. In the second Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 7–66°. There are a spread of Co–O bond distances ranging from 1.82–1.94 Å. In the third Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–64°. There are a spread of Co–O bond distances ranging from 1.83–1.92 Å. In the fourth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–68°. There are a spread of Co–O bond distances ranging from 1.81–1.97 Å. In the fifth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–61°. There are a spread of Co–O bond distances ranging from 1.81–1.94 Å. In the sixth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–67°. There are a spread of Co–O bond distances ranging from 1.81–1.98 Å. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra and faces with two equivalent BaO12 cuboctahedra. There are a spread of Co–O bond distances ranging from 1.85–2.28 Å. In the eighth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra and faces with two equivalent BaO12 cuboctahedra. There are a spread of Co–O bond distances ranging from 1.89–2.24 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, two Pr3+, and one Co3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Ba2+, two Pr3+, and one Co3+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, two Pr3+, and one Co3+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, two Pr3+, and one Co3+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Pr3+, and two Co3+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Pr3+, and two Co3+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Pr3+, and two Co3+ atoms. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Pr3+, and two Co3+ atoms. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Pr3+, and two Co3+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Pr3+, and two Co3+ atoms. In the nineteenth O2- site, O2- is bonded to four Ba2+, one Pr3+, and one Co3+ atom to form distorted OBa4PrCo octahedra that share corners with two equivalent OBa4PrCo octahedra and a faceface with one OBa3Pr2Co octahedra. The corner-sharing octahedra tilt angles range from 34–36°. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Pr3+, and one Co3+ atom. In the twenty-first O2- site, O2- is bonded to three Ba2+, two Pr3+, and one Co3+ atom to form distorted OBa3Pr2Co octahedra that share corners with two equivalent OBa3Pr2Co octahedra and a faceface with one OBa4PrCo octahedra. The corner-sharing octahedral tilt angles are 34°. In the twenty-second O2- site, O2- is bonded to four Ba2+, one Pr3+, and one Co3+ atom to form a mixture of distorted corner and face-sharing OBa4PrCo octahedra. The corner-sharing octahedra tilt angles range from 34–36°. In the twenty-third O2- site, O2- is bonded to four Ba2+, one Pr3+, and one Co3+ atom to form distorted face-sharing OBa4PrCo octahedra. In the twenty-fourth O2- site, O2- is bonded to three Ba2+, two Pr3+, and one Co3+ atom to form distorted OBa3Pr2Co octahedra that share corners with two equivalent OBa3Pr2Co octahedra and faces with two OBa4PrCo octahedra. The corner-sharing octahedral tilt angles are 34°. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Co3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba12Sm4Al3(CoO6)5 by Materials Project

Ba12Sm4Al3(CoO6)5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.78–3.39 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share faces with two equivalent CoO6 octahedra and faces with three AlO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.66–3.27 Å. In the third Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three AlO4 tetrahedra, and faces with two equivalent BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.57–2.82 Å. In the fourth Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three AlO4 tetrahedra, and faces with two equivalent BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.60–2.77 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–3.31 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 2.76–3.38 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 2.77–3.38 Å. In the eighth 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 2.76–3.31 Å. In the ninth 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 2.70–3.37 Å. In the tenth 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 2.73–3.32 Å. In the eleventh Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.59–2.86 Å. In the twelfth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.58–2.86 Å. There are four inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.41–2.77 Å. In the second Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.37–2.68 Å. In the third Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.36–2.68 Å. In the fourth Sm3+ site, Sm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sm–O bond distances ranging from 2.32–2.78 Å. There are five inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form corner-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.84–2.25 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three AlO4 tetrahedra and faces with two equivalent BaO12 cuboctahedra. There are a spread of Co–O bond distances ranging from 1.85–2.26 Å. In the third Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with two BaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–60°. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the fourth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with two BaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–69°. There are a spread of Co–O bond distances ranging from 1.80–1.98 Å. In the fifth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with two BaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–66°. There are a spread of Co–O bond distances ranging from 1.82–1.92 Å. There are three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 10–65°. There are a spread of Al–O bond distances ranging from 1.76–1.84 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 10–60°. There are a spread of Al–O bond distances ranging from 1.76–1.80 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two BaO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 11–67°. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Sm3+, and one Al3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Sm3+, and one Al3+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+, two Sm3+, and one Al3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Sm3+, and one Al3+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, two Sm3+, and one Al3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Sm3+, and one Al3+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Sm3+, and one Co3+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Sm3+, and one Co3+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, two Sm3+, and one Co3+ atom. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Sm3+, and one Co3+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+, two Sm3+, and one Co3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+, one Sm3+, and one Co3+ atom. In the thirteenth O2- site, O2- is bonded to four Ba2+, one Sm3+, and one Co3+ atom to form distorted face-sharing OBa4SmCo octahedra. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Sm3+, and one Co3+ atom. In the fifteenth O2- site, O2- is bonded to three Ba2+, two Sm3+, and one Co3+ atom to form distorted OBa3Sm2Co octahedra that share corners with two equivalent OBa3Sm2Co octahedra and a faceface with one OBa4SmCo octahedra. The corner-sharing octahedra tilt angles range from 31–33°. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Ba2+, one Sm3+, and one Co3+ atom. In the seventeenth O2- site, O2- is bonded to four Ba2+, one Sm3+, and one Co3+ atom to form distorted face-sharing OBa4SmCo octahedra. In the eighteenth O2- site, O2- is bonded to three Ba2+, two Sm3+, and one Co3+ atom to form distorted OBa3Sm2Co octahedra that share corners with two equivalent OBa3Sm2Co octahedra and a faceface with one OBa4SmCo octahedra. The corner-sharing octahedra tilt angles range from 31–33°. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Sm3+, and two Co3+ atoms. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Sm3+, and two Co3+ atoms. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Sm3+, and two Co3+ atoms. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to three Ba2+, one Sm3+, one Co3+, and one Al3+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Ba2+, two Sm3+, one Co3+, and one Al3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to three Ba2+, one Sm3+, one Co3+, and one Al3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Al3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Al3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Al3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Co3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Co3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Al2O7 by Materials Project

Ba4Al2O7 crystallizes in the orthorhombic Cmce space group. The structure is three-dimensional. there are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–3.23 Å. In the second Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with six AlO4 tetrahedra, an edgeedge with one BaO6 octahedra, and edges with two equivalent BaO7 pentagonal bipyramids. There are a spread of Ba–O bond distances ranging from 2.65–2.79 Å. In the third Ba2+ site, Ba2+ is bonded to seven O2- atoms to form distorted BaO7 pentagonal bipyramids that share corners with two equivalent BaO8 hexagonal bipyramids, corners with three AlO4 tetrahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent AlO4 tetrahedra, and a faceface with one BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.56–3.17 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.83–3.34 Å. In the fifth Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 octahedra that share corners with six AlO4 tetrahedra, faces with two equivalent BaO8 hexagonal bipyramids, and a faceface with one BaO7 pentagonal bipyramid. There are a spread of Ba–O bond distances ranging from 2.59–2.74 Å. In the sixth Ba2+ site, Ba2+ is bonded to eight O2- atoms to form distorted BaO8 hexagonal bipyramids that share corners with two equivalent BaO8 hexagonal bipyramids, corners with two equivalent BaO7 pentagonal bipyramids, corners with two equivalent AlO4 tetrahedra, edges with four AlO4 tetrahedra, and faces with two equivalent BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.69–2.98 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.60–3.34 Å. There are three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one BaO6 octahedra, a cornercorner with one BaO7 pentagonal bipyramid, corners with two equivalent AlO4 tetrahedra, and edges with two equivalent BaO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 25°. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one BaO8 hexagonal bipyramid, corners with three BaO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one BaO8 hexagonal bipyramid, and an edgeedge with one BaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 9–46°. There are a spread of Al–O bond distances ranging from 1.77–1.80 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with five BaO6 octahedra and corners with two equivalent BaO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 2–66°. There are a spread of Al–O bond distances ranging from 1.78–1.82 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Al3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Ba2+ and one Al3+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Ba2+ and one Al3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Al3+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Al3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Al3+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Al3+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Ba2+ and one Al3+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Sr4O7 by Materials Project

Ba3Sr4O7 is Caswellsilverite-like structured and crystallizes in the orthorhombic Immm space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with four BaO6 octahedra, edges with three BaO6 octahedra, and edges with nine SrO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Ba–O bond distances ranging from 2.69–2.81 Å. In the second Ba2+ site, Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with six BaO6 octahedra, edges with four BaO6 octahedra, and edges with eight equivalent SrO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.70 Å) and four longer (2.74 Å) Ba–O bond lengths. There are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four SrO6 octahedra, edges with five equivalent BaO6 octahedra, and edges with seven SrO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Sr–O bond distances ranging from 2.53–2.76 Å. In the second Sr2+ site, Sr2+ is bonded to six O2- atoms to form SrO6 octahedra that share corners with six SrO6 octahedra, edges with four SrO6 octahedra, and edges with eight BaO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.64 Å) and four longer (2.70 Å) Sr–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ba2+ and four Sr2+ atoms to form a mixture of corner and edge-sharing OBa2Sr4 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded to two equivalent Ba2+ and four equivalent Sr2+ atoms to form a mixture of corner and edge-sharing OBa2Sr4 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to two equivalent Ba2+ and four equivalent Sr2+ atoms to form a mixture of corner and edge-sharing OBa2Sr4 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to four Ba2+ and two equivalent Sr2+ atoms to form a mixture of corner and edge-sharing OBa4Sr2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on BaYMg14O16 by Materials Project

BaMg14YO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Ba is bonded to six O atoms to form BaO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ba–O bond distances ranging from 2.29–2.49 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.29 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.93–2.33 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent YO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.22–2.29 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent YO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.22–2.29 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.20–2.29 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.08–2.34 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.06–2.36 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.06–2.36 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one BaO6 octahedra, an edgeedge with one YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.07–2.36 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Y–O bond distances ranging from 2.11–2.32 Å. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to one Ba and five Mg atoms to form OBaMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O site, O is bonded to one Ba and five Mg atoms to form OBaMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.27 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O site, O is bonded to four Mg and two equivalent Y atoms to form OY2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to two equivalent Ba and four Mg atoms to form OBa2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OBa2Mg4 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to one Ba, four Mg, and one Y atom to form OBaYMg4 octahedra that share corners with six OBaYMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OBaYMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on BaMg14MnO16 by Materials Project

BaMg14MnO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ba–O bond distances ranging from 2.26–2.46 Å. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.06–2.26 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.92–2.26 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.08–2.32 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.18–2.26 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.15–2.26 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.06–2.32 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.06–2.32 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one BaO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Mg–O bond distances ranging from 2.10–2.29 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 1.98–2.32 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn2+ atom to form OMg5Mn octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to one Ba2+ and five Mg2+ atoms to form OBaMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to one Ba2+ and five Mg2+ atoms to form OBaMg5 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.28 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O2- site, O2- is bonded to four Mg2+ and two equivalent Mn2+ atoms to form OMg4Mn2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to two equivalent Ba2+ and four Mg2+ atoms to form OBa2Mg4 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OBa2Mg4 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to one Ba2+, four Mg2+, and one Mn2+ atom to form OBaMg4Mn octahedra that share corners with six OBaMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OBaMg4Mn octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on BaCaMg14O16 by Materials Project

BaCaMg14O16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Ba2+ is bonded to six O2- atoms to form BaO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent CaO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ba–O bond distances ranging from 2.26–2.46 Å. Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent CaO6 octahedra, corners with two equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ca–O bond distances ranging from 2.10–2.33 Å. There are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.04–2.26 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.91–2.29 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.16–2.33 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.18–2.26 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.27 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.06–2.31 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.06–2.31 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one BaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.09–2.30 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ca2+ and five Mg2+ atoms to form OCaMg5 octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to one Ba2+ and five Mg2+ atoms to form OBaMg5 octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to one Ba2+ and five Mg2+ atoms to form OBaMg5 octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. Both O–Mg bond lengths are 2.30 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to two equivalent Ca2+ and four Mg2+ atoms to form OCa2Mg4 octahedra that share corners with six OCa2Mg4 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to two equivalent Ba2+ and four Mg2+ atoms to form OBa2Mg4 octahedra that share corners with six OCa2Mg4 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OCa2Mg4 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OBa2Mg4 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to one Ba2+, one Ca2+, and four Mg2+ atoms to form OBaCaMg4 octahedra that share corners with six OBaCaMg4 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OBaCaMg4 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on BaMg14AlO16 by Materials Project

BaMg14AlO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Ba is bonded to six O atoms to form BaO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent AlO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Ba–O bond distances ranging from 2.28–2.52 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.08–2.30 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.93–2.28 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Mg–O bond distances ranging from 2.06–2.29 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.15–2.28 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.16–2.28 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.07–2.33 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.07–2.33 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one BaO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Mg–O bond distances ranging from 2.10–2.33 Å. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent BaO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent AlO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Al–O bond distances ranging from 1.80–2.28 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to one Ba and five Mg atoms to form OBaMg5 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O site, O is bonded to one Ba and five Mg atoms to form OBaMg5 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.22 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O site, O is bonded to four Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to two equivalent Ba and four Mg atoms to form OBa2Mg4 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OBa2Mg4 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to one Ba, four Mg, and one Al atom to form distorted OBaMg4Al octahedra that share corners with six OBaMg4Al octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OBaMg4Al octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OBaMg4Al octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.10 Å) and two longer (2.28 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on BaO by Materials Project

BaO is Molybdenum Carbide MAX Phase-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six equivalent O2- atoms to form a mixture of distorted edge and corner-sharing BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.80–2.82 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.07 Å. In the third Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.74–2.85 Å. In the fourth Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ba–O bond distances ranging from 2.75–2.84 Å. In the fifth Ba2+ site, Ba2+ is bonded to six O2- atoms to form edge-sharing BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.76–2.82 Å. In the sixth Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.74–2.84 Å. In the seventh Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ba–O bond distances ranging from 2.73–2.86 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.07 Å. In the ninth Ba2+ site, Ba2+ is bonded to six equivalent O2- atoms to form a mixture of distorted edge and corner-sharing BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.80–2.82 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the second O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 1–51°. In the third O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of edge and corner-sharing OBa6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 1–48°. In the fifth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 1–48°. In the sixth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the seventh O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of edge and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–51°.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ga2O7 by Materials Project

Ba4Ga2O7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are six inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–3.06 Å. In the second Ba2+ site, Ba2+ is bonded to seven O2- atoms to form distorted BaO7 pentagonal bipyramids that share corners with four GaO4 tetrahedra, edges with two GaO4 tetrahedra, and faces with two equivalent BaO7 pentagonal bipyramids. There are a spread of Ba–O bond distances ranging from 2.63–2.88 Å. In the third Ba2+ site, Ba2+ is bonded to six O2- atoms to form distorted BaO6 pentagonal pyramids that share a cornercorner with one BaO6 pentagonal pyramid, corners with three GaO4 tetrahedra, edges with two equivalent BaO6 pentagonal pyramids, and edges with two equivalent GaO4 tetrahedra. There are a spread of Ba–O bond distances ranging from 2.65–2.86 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.76–3.06 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.30 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.29 Å. There are three inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share a cornercorner with one BaO7 pentagonal bipyramid, a cornercorner with one BaO6 pentagonal pyramid, a cornercorner with one GaO4 tetrahedra, and an edgeedge with one BaO7 pentagonal bipyramid. There are a spread of Ga–O bond distances ranging from 1.84–1.98 Å. In the second Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with two equivalent BaO6 pentagonal pyramids, a cornercorner with one GaO4 tetrahedra, and edges with two equivalent BaO6 pentagonal pyramids. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three equivalent BaO7 pentagonal bipyramids, a cornercorner with one GaO4 tetrahedra, and an edgeedge with one BaO7 pentagonal bipyramid. There are a spread of Ga–O bond distances ranging from 1.84–1.94 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Ba2+ and one Ga3+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two equivalent Ga3+ atoms. In the third O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ga3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ba2+ and one Ga3+ atom. In the fifth O2- site, O2- is bonded to four Ba2+ and one Ga3+ atom to form a mixture of distorted edge and corner-sharing OBa4Ga square pyramids. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ga3+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to five Ba2+ and one Ga3+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ga3+ atom. In the ninth O2- site, O2- is bonded to three Ba2+ and one Ga3+ atom to form distorted corner-sharing OBa3Ga trigonal pyramids. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to four Ba2+ and one Ga3+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ba2+ and two Ga3+ atoms.

36 MATERIALS SCIENCE↗