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Materials Data on Ba2Nb5O9 by Materials Project

Ba2Nb5O9 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eight equivalent BaO12 cuboctahedra, faces with five equivalent BaO12 cuboctahedra, faces with four equivalent NbO6 octahedra, and faces with four equivalent NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.89–2.99 Å. There are three inequivalent Nb+2.80+ sites. In the first Nb+2.80+ site, Nb+2.80+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four equivalent NbO6 octahedra, corners with two equivalent NbO5 square pyramids, and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.00 Å) and four longer (2.11 Å) Nb–O bond lengths. In the second Nb+2.80+ site, Nb+2.80+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with four equivalent NbO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and one longer (2.18 Å) Nb–O bond lengths. In the third Nb+2.80+ site, Nb+2.80+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.11 Å) and two longer (2.14 Å) Nb–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb+2.80+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Nb+2.80+ atoms. In the third O2- site, O2- is bonded to two equivalent Ba2+ and three Nb+2.80+ atoms to form a mixture of distorted corner and edge-sharing OBa2Nb3 trigonal bipyramids. In the fourth O2- site, O2- is bonded in a square co-planar geometry to four equivalent Nb+2.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaNb8O14 by Materials Project

BaNb8O14 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four equivalent NbO5 square pyramids, edges with six NbO5 square pyramids, faces with four equivalent NbO6 octahedra, and faces with two equivalent NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.83–3.01 Å. There are three inequivalent Nb+3.25+ sites. In the first Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, edges with two equivalent NbO5 square pyramids, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 1.97–2.09 Å. In the second Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with four equivalent NbO6 octahedra, corners with six equivalent NbO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–45°. There are a spread of Nb–O bond distances ranging from 2.11–2.21 Å. In the third Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one BaO12 cuboctahedra, a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one NbO6 octahedra, and an edgeedge with one NbO5 square pyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of Nb–O bond distances ranging from 2.05–2.19 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+ and two equivalent Nb+3.25+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and three Nb+3.25+ atoms. In the fourth O2- site, O2- is bonded in a square co-planar geometry to four equivalent Nb+3.25+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+3.25+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaNb2O6 by Materials Project

BaNb2O6 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–3.01 Å. Nb5+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 14–45°. There are a spread of Nb–O bond distances ranging from 1.90–2.22 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Ba2+ and two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+ and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba2Nb15O32 by Materials Project

Ba2Nb15O32 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six NbO6 octahedra, edges with three equivalent BaO12 cuboctahedra, edges with three equivalent NbO6 octahedra, edges with three equivalent NbO5 square pyramids, and faces with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ba–O bond distances ranging from 2.98–3.18 Å. There are four inequivalent Nb4+ sites. In the first Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent NbO6 octahedra, corners with three equivalent NbO5 square pyramids, and edges with three equivalent NbO5 square pyramids. The corner-sharing octahedral tilt angles are 40°. There are three shorter (1.96 Å) and three longer (2.10 Å) Nb–O bond lengths. In the second Nb4+ site, Nb4+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with four NbO6 octahedra, corners with four equivalent NbO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 6–55°. There are a spread of Nb–O bond distances ranging from 2.06–2.23 Å. In the third Nb4+ site, Nb4+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with two NbO6 octahedra, corners with three equivalent NbO5 square pyramids, an edgeedge with one BaO12 cuboctahedra, edges with two equivalent NbO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are a spread of Nb–O bond distances ranging from 1.92–2.14 Å. In the fourth Nb4+ site, Nb4+ is bonded to six equivalent O2- atoms to form NbO6 octahedra that share corners with six equivalent BaO12 cuboctahedra and corners with six equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 41°. All Nb–O bond lengths are 2.03 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb4+ atoms. In the second O2- site, O2- is bonded in a T-shaped geometry to three Nb4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Nb4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ba2+ and two Nb4+ atoms. In the fifth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two equivalent Nb4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb4+ atoms.

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Materials Data on BaNbO3 by Materials Project

BaNbO3 is (Cubic) Perovskite structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Ba2+ is bonded to twelve equivalent O2- atoms to form BaO12 cuboctahedra that share corners with twelve equivalent BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, and faces with eight equivalent NbO6 octahedra. All Ba–O bond lengths are 2.94 Å. Nb4+ is bonded to six equivalent O2- atoms to form NbO6 octahedra that share corners with six equivalent NbO6 octahedra and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. All Nb–O bond lengths are 2.08 Å. O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb4+ atoms.

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Materials Data on Ba9Nb10O30 by Materials Project

Ba9Nb10O30 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.96 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.95 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.90–2.95 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–2.93 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–2.94 Å. There are five inequivalent Nb+4.20+ sites. In the first Nb+4.20+ site, Nb+4.20+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the second Nb+4.20+ site, Nb+4.20+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the third Nb+4.20+ site, Nb+4.20+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Nb–O bond distances ranging from 2.03–2.10 Å. In the fourth Nb+4.20+ site, Nb+4.20+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Nb–O bond distances ranging from 2.03–2.11 Å. In the fifth Nb+4.20+ site, Nb+4.20+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.06 Å) and four longer (2.07 Å) Nb–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.20+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.20+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.20+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.20+ atoms.

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Materials Data on Ba2NbO by Materials Project

Ba2NbO is Heusler structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Ba is bonded in a body-centered cubic geometry to four equivalent Nb and four equivalent O atoms. All Ba–Nb bond lengths are 3.41 Å. All Ba–O bond lengths are 3.41 Å. Nb is bonded in a body-centered cubic geometry to eight equivalent Ba atoms. O is bonded in a body-centered cubic geometry to eight equivalent Ba atoms.

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Materials Data on Ba5Nb4O15 by Materials Project

Ba5Nb4O15 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 in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.80–3.30 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine equivalent BaO12 cuboctahedra, faces with three equivalent BaO12 cuboctahedra, and faces with seven NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.76–3.02 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with six equivalent BaO12 cuboctahedra, faces with six equivalent BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are six shorter (2.88 Å) and six longer (2.94 Å) Ba–O bond lengths. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are three shorter (1.97 Å) and three longer (2.12 Å) Nb–O bond lengths. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three equivalent NbO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 9°. There are three shorter (1.87 Å) and three longer (2.29 Å) Nb–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+ and two Nb5+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Nb14O23 by Materials Project

Ba4Nb14O23 crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with five equivalent BaO12 cuboctahedra, corners with two equivalent NbO5 square pyramids, faces with four equivalent BaO12 cuboctahedra, faces with two equivalent NbO6 octahedra, and faces with six NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.88–3.03 Å. There are seven inequivalent Nb+2.71+ sites. In the first Nb+2.71+ site, Nb+2.71+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four NbO5 square pyramids, and faces with eight equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 2.02–2.10 Å. In the second Nb+2.71+ site, Nb+2.71+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with five NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.11–2.19 Å. In the third Nb+2.71+ site, Nb+2.71+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with four NbO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 2.10–2.21 Å. In the fourth Nb+2.71+ site, Nb+2.71+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, and faces with four equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 2.09–2.23 Å. In the fifth Nb+2.71+ site, Nb+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There are three shorter (2.11 Å) and one longer (2.18 Å) Nb–O bond lengths. In the sixth Nb+2.71+ site, Nb+2.71+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.10 Å) and two longer (2.14 Å) Nb–O bond lengths. In the seventh Nb+2.71+ site, Nb+2.71+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.12 Å) and two longer (2.15 Å) Nb–O bond lengths. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Nb+2.71+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb+2.71+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two Nb+2.71+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.71+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.71+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.71+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.71+ atoms. In the eighth O2- site, O2- is bonded in a square co-planar geometry to four Nb+2.71+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.71+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaNb7O9 by Materials Project

BaNb7O9 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight equivalent NbO5 square pyramids. There are eight shorter (2.93 Å) and four longer (3.00 Å) Ba–O bond lengths. There are three inequivalent Nb+2.29+ sites. In the first Nb+2.29+ site, Nb+2.29+ is bonded in a square co-planar geometry to four equivalent O2- atoms. All Nb–O bond lengths are 2.12 Å. In the second Nb+2.29+ site, Nb+2.29+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 2.11–2.16 Å. In the third Nb+2.29+ site, Nb+2.29+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with five equivalent NbO5 square pyramids and faces with four equivalent BaO12 cuboctahedra. There are one shorter (2.12 Å) and four longer (2.13 Å) Nb–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a square co-planar geometry to four Nb+2.29+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four equivalent Nb+2.29+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.29+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb+2.29+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaNb4O6 by Materials Project

BaNb4O6 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four equivalent BaO12 cuboctahedra, and faces with eight equivalent NbO5 square pyramids. There are eight shorter (2.93 Å) and four longer (3.00 Å) Ba–O bond lengths. There are two inequivalent Nb+2.50+ sites. In the first Nb+2.50+ site, Nb+2.50+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.12 Å) and two longer (2.13 Å) Nb–O bond lengths. In the second Nb+2.50+ site, Nb+2.50+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with five equivalent NbO5 square pyramids and faces with four equivalent BaO12 cuboctahedra. There are one shorter (2.10 Å) and four longer (2.12 Å) Nb–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb+2.50+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.50+ atoms. In the third O2- site, O2- is bonded in a square co-planar geometry to four equivalent Nb+2.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Nb16O23 by Materials Project

Ba3Nb16O23 crystallizes in the orthorhombic Cmmm 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 BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four equivalent NbO5 square pyramids, faces with three BaO12 cuboctahedra, and faces with eight NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.93–2.98 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with four equivalent BaO12 cuboctahedra, faces with four BaO12 cuboctahedra, and faces with eight equivalent NbO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.92–3.04 Å. There are five inequivalent Nb+2.50+ sites. In the first Nb+2.50+ site, Nb+2.50+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with two equivalent BaO12 cuboctahedra, corners with five NbO5 square pyramids, an edgeedge with one NbO5 square pyramid, and faces with two equivalent BaO12 cuboctahedra. There are four shorter (2.11 Å) and one longer (2.24 Å) Nb–O bond lengths. In the second Nb+2.50+ site, Nb+2.50+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with six NbO5 square pyramids and faces with four BaO12 cuboctahedra. There are a spread of Nb–O bond distances ranging from 2.09–2.15 Å. In the third Nb+2.50+ site, Nb+2.50+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 2.11–2.15 Å. In the fourth Nb+2.50+ site, Nb+2.50+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 2.08–2.16 Å. In the fifth Nb+2.50+ site, Nb+2.50+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Nb–O bond distances ranging from 2.11–2.18 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+2.50+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.50+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+2.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Nb+2.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to two equivalent Ba2+ and three Nb+2.50+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Nb+2.50+ atoms. In the eighth O2- site, O2- is bonded in a square co-planar geometry to four Nb+2.50+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Nb+2.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba3Nb2O8 by Materials Project

Ba3Nb2O8 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted hexagonal planar geometry to six equivalent O2- atoms. All Ba–O bond lengths are 2.82 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 2.60–3.17 Å. Nb5+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.86 Å) and three longer (1.88 Å) Nb–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to four Ba2+ and one Nb5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one Ba2+ and one Nb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on BaNb2O6 by Materials Project

BaNb2O6 crystallizes in the orthorhombic C222_1 space group. The structure is three-dimensional. there are two 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 2.77–3.24 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 2.81–3.15 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 13–46°. There are a spread of Nb–O bond distances ranging from 1.86–2.23 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 26–46°. There are a spread of Nb–O bond distances ranging from 1.85–2.27 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Nb5+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+ and two equivalent Nb5+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+ and two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Nb5+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Nb5+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+ and two equivalent Nb5+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaNb2O6 by Materials Project

BaNb2O6 crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are four shorter (2.83 Å) and two longer (2.92 Å) Ba–O bond lengths. Nb5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 0–47°. There are a spread of Nb–O bond distances ranging from 1.96–2.10 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two equivalent Nb5+ atoms. In the second O2- site, O2- is bonded to two equivalent Ba2+ and two equivalent Nb5+ atoms to form a mixture of distorted edge and corner-sharing OBa2Nb2 tetrahedra. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two equivalent Nb5+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two equivalent Nb5+ atoms.

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Materials Data on Ba2Nb8O11 by Materials Project

Ba2Nb8O11 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are eight shorter (2.91 Å) and two longer (3.00 Å) Ba–O bond lengths. There are three inequivalent Nb+2.25+ sites. In the first Nb+2.25+ site, Nb+2.25+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.12 Å) and two longer (2.13 Å) Nb–O bond lengths. In the second Nb+2.25+ site, Nb+2.25+ is bonded in a rectangular see-saw-like geometry to four equivalent O2- atoms. All Nb–O bond lengths are 2.12 Å. In the third Nb+2.25+ site, Nb+2.25+ is bonded to five O2- atoms to form corner-sharing NbO5 square pyramids. There are one shorter (2.09 Å) and four longer (2.13 Å) Nb–O bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four equivalent Ba2+ and two equivalent Nb+2.25+ atoms. In the second O2- site, O2- is bonded to two equivalent Ba2+ and three Nb+2.25+ atoms to form a mixture of distorted corner and edge-sharing OBa2Nb3 trigonal bipyramids. In the third O2- site, O2- is bonded in a square co-planar geometry to four equivalent Nb+2.25+ atoms.

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Materials Data on BaNb8O14 by Materials Project

BaNb8O14 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. Ba2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.30 Å. There are eight inequivalent Nb+3.25+ sites. In the first Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, and edges with two NbO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Nb–O bond distances ranging from 1.99–2.15 Å. In the second Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with three NbO6 octahedra, corners with six NbO5 square pyramids, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 5–44°. There are a spread of Nb–O bond distances ranging from 2.07–2.27 Å. In the third Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share corners with three NbO6 octahedra and corners with six NbO5 square pyramids. The corner-sharing octahedra tilt angles range from 5–48°. There are a spread of Nb–O bond distances ranging from 2.04–2.24 Å. In the fourth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Nb–O bond distances ranging from 1.97–2.28 Å. In the fifth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Nb–O bond distances ranging from 2.07–2.28 Å. In the sixth Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO6 octahedra, and an edgeedge with one NbO5 square pyramid. The corner-sharing octahedral tilt angles are 44°. There are a spread of Nb–O bond distances ranging from 2.06–2.20 Å. In the seventh Nb+3.25+ site, Nb+3.25+ is bonded to five O2- atoms to form NbO5 square pyramids that share a cornercorner with one NbO6 octahedra, corners with six NbO5 square pyramids, an edgeedge with one NbO6 octahedra, and an edgeedge with one NbO5 square pyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of Nb–O bond distances ranging from 2.07–2.18 Å. In the eighth Nb+3.25+ site, Nb+3.25+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with four NbO5 square pyramids, an edgeedge with one NbO6 octahedra, and edges with four NbO5 square pyramids. There are a spread of Nb–O bond distances ranging from 1.90–2.25 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a square co-planar geometry to four Nb+3.25+ atoms. In the second O2- site, O2- is bonded in a linear geometry to two equivalent Ba2+ and two equivalent Nb+3.25+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and three Nb+3.25+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and two Nb+3.25+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and four Nb+3.25+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+3.25+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Nb+3.25+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Nb+3.25+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Nb+3.25+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba13Nb14O42 by Materials Project

Ba13Nb14O42 is (Cubic) Perovskite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.96 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.97 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.94 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with twelve BaO12 cuboctahedra, faces with five BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.89–2.97 Å. In the fifth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with eleven BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–2.94 Å. In the sixth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.88–2.94 Å. In the seventh Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with ten BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, and faces with eight NbO6 octahedra. There are two shorter (2.89 Å) and ten longer (2.93 Å) Ba–O bond lengths. There are eight inequivalent Nb+4.14+ sites. In the first Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the second Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are five shorter (2.07 Å) and one longer (2.08 Å) Nb–O bond lengths. In the third Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the fourth Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Nb–O bond lengths are 2.07 Å. In the fifth Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the sixth Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Nb–O bond distances ranging from 2.04–2.10 Å. In the seventh Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Nb–O bond lengths are 2.07 Å. In the eighth Nb+4.14+ site, Nb+4.14+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six NbO6 octahedra and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Nb–O bond lengths are 2.07 Å. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the tenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.14+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Nb+4.14+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb+4.14+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two equivalent Nb+4.14+ atoms.

36 MATERIALS SCIENCE↗