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Materials Data on Li2V3CrO8 by Materials Project

Li2V3CrO8 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 9–19°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with four equivalent VO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of Li–O bond distances ranging from 2.15–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 10–21°. There are two shorter (2.13 Å) and four longer (2.24 Å) Li–O bond lengths. There are three inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of V–O bond distances ranging from 1.90–2.04 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 11–21°. There are a spread of V–O bond distances ranging from 2.02–2.07 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three VO6 octahedra, and edges with three equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of V–O bond distances ranging from 1.91–2.09 Å. Cr2+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 10–19°. There are a spread of Cr–O bond distances ranging from 2.01–2.07 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one V4+, and two equivalent Cr2+ atoms to form OLi2VCr2 square pyramids that share corners with two equivalent OLi2VCr2 square pyramids, corners with three OLiV2Cr trigonal pyramids, edges with five OLi2V2Cr square pyramids, and edges with two equivalent OLiV2Cr trigonal pyramids. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V4+, and one Cr2+ atom. In the third O2- site, O2- is bonded to two equivalent Li1+ and three V4+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with five OLiV2Cr trigonal pyramids, edges with five OLi2V3 square pyramids, and an edgeedge with one OLiV2Cr trigonal pyramid. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V4+ atoms. In the fifth O2- site, O2- is bonded to two Li1+, two equivalent V4+, and one Cr2+ atom to form OLi2V2Cr square pyramids that share corners with two equivalent OLi2V2Cr square pyramids, corners with four OLiV2Cr trigonal pyramids, edges with five OLi2V2Cr square pyramids, and an edgeedge with one OLiV2Cr trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+, two V4+, and one Cr2+ atom to form OLiV2Cr trigonal pyramids that share corners with seven OLi2VCr2 square pyramids, a cornercorner with one OLiV2Cr trigonal pyramid, edges with three OLi2V2Cr square pyramids, and an edgeedge with one OLiV2Cr trigonal pyramid. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V4+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two OLiV2Cr trigonal pyramids, edges with five OLi2V3 square pyramids, and edges with two equivalent OLiV2Cr trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two V4+, and one Cr2+ atom to form distorted OLiV2Cr trigonal pyramids that share corners with seven OLi2VCr2 square pyramids, edges with three OLi2V3 square pyramids, and an edgeedge with one OLiV2Cr trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–28°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–56°. There are a spread of Li–O bond distances ranging from 1.95–2.32 Å. There are three inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of V–O bond distances ranging from 1.74–2.08 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of V–O bond distances ranging from 2.01–2.17 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of V–O bond distances ranging from 1.69–2.13 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.44 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.31–1.45 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the second O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form edge-sharing OLi2V3 square pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.67+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one V+3.67+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one V+3.67+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–65°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Li–O bond distances ranging from 1.94–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–65°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. There are three inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of V–O bond distances ranging from 1.95–2.14 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–57°. There are a spread of V–O bond distances ranging from 1.82–2.03 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–63°. There are a spread of V–O bond distances ranging from 1.79–2.18 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.43 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.47 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the second O2- site, O2- is bonded to three Li1+ and two equivalent V+3.67+ atoms to form OLi3V2 square pyramids that share corners with two equivalent OLi2V3 square pyramids, a cornercorner with one OLi2V2 tetrahedra, and edges with three OLi3V2 square pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the sixth O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 tetrahedra that share corners with three OLi3V2 square pyramids, corners with two equivalent OLi2V2 tetrahedra, and an edgeedge with one OLi2V3 square pyramid. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi3V2 square pyramids, corners with two equivalent OLi2V2 tetrahedra, edges with three OLi3V2 square pyramids, and an edgeedge with one OLi2V2 tetrahedra. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.67+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Cr4O13 by Materials Project

Li2Cr4O13 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and an edgeedge with one LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and an edgeedge with one LiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. There are four inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and a cornercorner with one CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–56°. There are a spread of Cr–O bond distances ranging from 1.62–1.83 Å. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra and corners with two CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–48°. There are a spread of Cr–O bond distances ranging from 1.60–1.77 Å. In the third Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra and corners with two CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–34°. There are a spread of Cr–O bond distances ranging from 1.60–1.78 Å. In the fourth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and a cornercorner with one CrO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–53°. There are a spread of Cr–O bond distances ranging from 1.62–1.83 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to one Li1+ and one Cr6+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Cr6+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Cr6+ atom. In the fourth O2- site, O2- is bonded in a linear geometry to two Cr6+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Cr6+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Li1+ and one Cr6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Cr6+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and one Cr6+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one Cr6+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Cr6+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one Cr6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one Cr6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6Cr3Co(PO4)6 by Materials Project

Li6Cr3Co(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.43 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.33 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.47 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.60 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.62 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.64 Å. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.01 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.02 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.95–2.03 Å. Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.92–1.98 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 29–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 30–44°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 27–43°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–43°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra and corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 21–43°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Cr3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Cr3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Cr3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded to three Li1+, one Co3+, and one P5+ atom to form distorted face-sharing OLi3CoP trigonal bipyramids. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Cr3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded to three Li1+, one Co3+, and one P5+ atom to form distorted face-sharing OLi3CoP trigonal bipyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded to three Li1+, one Co3+, and one P5+ atom to form distorted face-sharing OLi3CoP trigonal bipyramids. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ti2Cu5O12 by Materials Project

Li5Ti2Cu5O12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CuO6 octahedra, edges with two TiO6 octahedra, edges with three CuO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of Li–O bond distances ranging from 2.01–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, corners with three CuO6 octahedra, edges with two TiO6 octahedra, edges with three CuO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–23°. There are a spread of Li–O bond distances ranging from 2.01–2.42 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Li–O bond distances ranging from 1.98–2.45 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with six CuO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. There are four inequivalent Cu+2.20+ sites. In the first Cu+2.20+ site, Cu+2.20+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–19°. There are a spread of Cu–O bond distances ranging from 1.97–2.49 Å. In the second Cu+2.20+ site, Cu+2.20+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.93–2.05 Å. In the third Cu+2.20+ site, Cu+2.20+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, edges with three equivalent CuO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–23°. There are a spread of Cu–O bond distances ranging from 1.96–2.55 Å. In the fourth Cu+2.20+ site, Cu+2.20+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four LiO6 octahedra, edges with three equivalent TiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–21°. There are a spread of Cu–O bond distances ranging from 1.91–2.52 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Ti4+, and one Cu+2.20+ atom to form distorted OLi3TiCu square pyramids that share corners with eight OLi2TiCu3 octahedra, a cornercorner with one OLi3TiCu square pyramid, edges with six OLi3TiCu2 octahedra, and edges with two OLi3TiCu square pyramids. The corner-sharing octahedra tilt angles range from 9–82°. In the second O2- site, O2- is bonded to two Li1+, one Ti4+, and three Cu+2.20+ atoms to form distorted OLi2TiCu3 octahedra that share corners with four OLi2TiCu3 octahedra, corners with four OLi3TiCu square pyramids, edges with seven OLi2TiCu3 octahedra, and edges with three equivalent OLi2TiCu2 square pyramids. The corner-sharing octahedra tilt angles range from 2–3°. In the third O2- site, O2- is bonded to three Li1+, one Ti4+, and two Cu+2.20+ atoms to form distorted OLi3TiCu2 octahedra that share corners with four OLi2TiCu3 octahedra, corners with four OLi3TiCu square pyramids, edges with seven OLi2TiCu3 octahedra, and edges with three equivalent OLi3TiCu square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the fourth O2- site, O2- is bonded to two Li1+, one Ti4+, and two Cu+2.20+ atoms to form distorted OLi2TiCu2 square pyramids that share corners with eight OLi2TiCu3 octahedra, a cornercorner with one OLi2TiCu2 square pyramid, edges with six OLi2TiCu3 octahedra, and edges with two OLi3TiCu square pyramids. The corner-sharing octahedra tilt angles range from 13–81°. In the fifth O2- site, O2- is bonded to three Li1+, one Ti4+, and two Cu+2.20+ atoms to form OLi3TiCu2 octahedra that share corners with four OLi2TiCu3 octahedra, corners with four OLi3TiCu square pyramids, edges with seven OLi2TiCu3 octahedra, and edges with three equivalent OLi3TiCu square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to two Li1+, one Ti4+, and three Cu+2.20+ atoms to form distorted OLi2TiCu3 octahedra that share corners with four OLi2TiCu3 octahedra, corners with four OLi3TiCu square pyramids, edges with seven OLi2TiCu3 octahedra, and edges with three equivalent OLi2TiCu2 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn5P6WO24 by Materials Project

Li4WMn5P6O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.60 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.45 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.40 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.41 Å. W4+ is bonded to six O2- atoms to form WO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of W–O bond distances ranging from 2.01–2.15 Å. There are five inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one WO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.11–2.49 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.10–2.31 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.15–2.34 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.08–2.34 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 21–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 34–52°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 20–52°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one WO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Mn2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, one W4+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one W4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one W4+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one W4+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Nb2Ge2O7 by Materials Project

Nb2Ge2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Nb3+ sites. In the first Nb3+ site, Nb3+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 21–30°. There are a spread of Nb–O bond distances ranging from 1.88–2.21 Å. In the second Nb3+ site, Nb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.83–2.45 Å. In the third Nb3+ site, Nb3+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 21–31°. There are a spread of Nb–O bond distances ranging from 1.84–2.29 Å. In the fourth Nb3+ site, Nb3+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 5–31°. There are a spread of Nb–O bond distances ranging from 1.84–2.33 Å. There are four inequivalent Ge4+ sites. In the first Ge4+ site, Ge4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Ge–O bond distances ranging from 1.89–2.21 Å. In the second Ge4+ site, Ge4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Ge–O bond distances ranging from 1.95–2.11 Å. In the third Ge4+ site, Ge4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are one shorter (2.01 Å) and two longer (2.05 Å) Ge–O bond lengths. In the fourth Ge4+ site, Ge4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Ge–O bond distances ranging from 2.01–2.21 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb3+ and one Ge4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Nb3+ and one Ge4+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Nb3+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Nb3+ and one Ge4+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Nb3+ and one Ge4+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Nb3+ and one Ge4+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Nb3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Nb3+ and two Ge4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Nb3+ and one Ge4+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Nb3+ and one Ge4+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Nb3+ and one Ge4+ atom. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Nb3+ and two equivalent Ge4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Nb3+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Nb3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Dy2Cu2O5 by Materials Project

Dy2Cu2O5 is Spinel-like structured and crystallizes in the orthorhombic Pna2_1 space group. The structure is three-dimensional. there are two inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing DyO6 octahedra. The corner-sharing octahedra tilt angles range from 21–65°. There are a spread of Dy–O bond distances ranging from 2.24–2.33 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing DyO6 octahedra. The corner-sharing octahedra tilt angles range from 21–65°. There are a spread of Dy–O bond distances ranging from 2.24–2.32 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.02 Å. In the second Cu2+ site, Cu2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.95–2.02 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Dy3+ and two Cu2+ atoms to form ODy2Cu2 trigonal pyramids that share corners with six ODy3Cu tetrahedra, corners with two equivalent ODy2Cu2 trigonal pyramids, an edgeedge with one ODy3Cu tetrahedra, and an edgeedge with one ODy2Cu2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Dy3+ and two Cu2+ atoms. In the third O2- site, O2- is bonded to two equivalent Dy3+ and two Cu2+ atoms to form distorted ODy2Cu2 trigonal pyramids that share corners with six ODy3Cu tetrahedra, corners with two equivalent ODy2Cu2 trigonal pyramids, an edgeedge with one ODy3Cu tetrahedra, and an edgeedge with one ODy2Cu2 trigonal pyramid. In the fourth O2- site, O2- is bonded to three Dy3+ and one Cu2+ atom to form ODy3Cu tetrahedra that share corners with six ODy3Cu tetrahedra, corners with six ODy2Cu2 trigonal pyramids, and an edgeedge with one ODy2Cu2 trigonal pyramid. In the fifth O2- site, O2- is bonded to three Dy3+ and one Cu2+ atom to form ODy3Cu tetrahedra that share corners with six ODy3Cu tetrahedra, corners with six ODy2Cu2 trigonal pyramids, and an edgeedge with one ODy2Cu2 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr12Co7O48 by Materials Project

Li9Cr12Co7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–73°. There are a spread of Li–O bond distances ranging from 2.10–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–72°. There are a spread of Li–O bond distances ranging from 2.14–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 65–66°. There are a spread of Li–O bond distances ranging from 2.13–2.30 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 67–72°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. There are twelve inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra and corners with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.74 Å. In the third Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Cr–O bond distances ranging from 1.63–1.72 Å. In the fourth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Cr–O bond distances ranging from 1.63–1.71 Å. In the fifth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of Cr–O bond distances ranging from 1.62–1.72 Å. In the sixth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 27–62°. There are a spread of Cr–O bond distances ranging from 1.66–1.70 Å. In the seventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 28–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. In the eighth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 30–57°. There are a spread of Cr–O bond distances ranging from 1.62–1.70 Å. In the ninth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.72 Å. In the tenth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.69 Å. In the eleventh Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three CoO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the twelfth Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 21–61°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. There are seven inequivalent Co+2.14+ sites. In the first Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.17 Å. In the second Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Co–O bond distances ranging from 2.05–2.12 Å. In the third Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Co–O bond distances ranging from 2.03–2.11 Å. In the fourth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Co–O bond distances ranging from 1.99–2.10 Å. In the fifth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the sixth Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Co–O bond distances ranging from 2.01–2.11 Å. In the seventh Co+2.14+ site, Co+2.14+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.18 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one Cr6+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and one Cr6+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Cr6+ and two Co+2.14+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Cr6+ and two Co+2.14+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr6+, and one Co+2.14+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one Cr6+ atom. I

36 MATERIALS SCIENCE↗

Materials Data on Na8Bi5O14 by Materials Project

Na8Bi5O14 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with three NaO6 octahedra, edges with three BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–19°. There are a spread of Na–O bond distances ranging from 2.37–2.68 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with four NaO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–20°. There are a spread of Na–O bond distances ranging from 2.45–2.52 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.93 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with three BiO6 octahedra, edges with two BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.33–2.74 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with two equivalent BiO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.42–2.77 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with three BiO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Na–O bond distances ranging from 2.40–2.91 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with two BiO6 octahedra, edges with four BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–20°. There are a spread of Na–O bond distances ranging from 2.36–2.73 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Na–O bond distances ranging from 2.43–2.74 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent BiO6 octahedra, edges with two equivalent BiO6 octahedra, and edges with eight NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Na–O bond distances ranging from 2.46–2.67 Å. There are five inequivalent Bi4+ sites. In the first Bi4+ site, Bi4+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Bi–O bond distances ranging from 2.02–2.31 Å. In the second Bi4+ site, Bi4+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Bi–O bond distances ranging from 2.07–2.68 Å. In the third Bi4+ site, Bi4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.89 Å. In the fourth Bi4+ site, Bi4+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with three NaO6 octahedra, edges with four BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Bi–O bond distances ranging from 2.07–2.32 Å. In the fifth Bi4+ site, Bi4+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two BiO6 octahedra, corners with three NaO6 octahedra, edges with four NaO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Bi–O bond distances ranging from 2.19–2.74 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Bi4+ atom. In the second O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with four ONa5Bi octahedra, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with five OBi6 octahedra, edges with four ONa3Bi2 square pyramids, and edges with two equivalent ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–19°. In the third O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with two ONa4Bi2 octahedra, corners with three ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with eight OBi6 octahedra, an edgeedge with one ONa4Bi square pyramid, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–12°. In the fourth O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with four ONa5Bi octahedra, corners with two ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with six OBi6 octahedra, edges with three ONa2Bi3 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 8–20°. In the fifth O2- site, O2- is bonded to four Na1+ and one Bi4+ atom to form ONa4Bi square pyramids that share corners with four OBi6 octahedra, a cornercorner with one ONa3Bi2 square pyramid, corners with three ONa3Bi2 trigonal bipyramids, edges with seven ONa5Bi octahedra, and an edgeedge with one ONa4Bi square pyramid. The corner-sharing octahedra tilt angles range from 4–11°. In the sixth O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form ONa3Bi2 trigonal bipyramids that share corners with three ONa5Bi octahedra, corners with four ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with five OBi6 octahedra, an edgeedge with one ONa3Bi2 square pyramid, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–37°. In the seventh O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form distorted ONa3Bi2 trigonal bipyramids that share corners with five OBi6 octahedra, corners with three ONa3Bi2 square pyramids, edges with six OBi6 octahedra, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–36°. In the eighth O2- site, O2- is bonded to six Bi4+ atoms to form distorted OBi6 octahedra that share corners with three ONa5Bi octahedra, a cornercorner with one ONa4Bi square pyramid, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with seven OBi6 octahedra, edges with three ONa3Bi2 square pyramids, and edges with two ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the ninth O2- site, O2- is bonded to five Na1+ and one Bi4+ atom to form ONa5Bi octahedra that share corners with five OBi6 octahedra, a cornercorner with one ONa2Bi3 square pyramid, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with seven ONa5Bi octahedra, edges with two ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–12°. In the tenth O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form distorted ONa3Bi2 square pyramids that share corners with three ONa4Bi2 octahedra, corners with three ONa3Bi2 square pyramids, corners with two ONa3Bi2 trigonal bipyramids, edges with seven OBi6 octahedra, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–20°. In the eleventh O2- site, O2- is bonded to five Na1+ and one Bi4+ atom to form ONa5Bi octahedra that share corners with two OBi6 octahedra, corners with two ONa2Bi3 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with eight ONa5Bi octahedra, edges with three ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–5°. In the twelfth O2- site, O2- is bonded to two equivalent Na1+ and three Bi4+ atoms to form distorted ONa2Bi3 square pyramids that share corners with six ONa5Bi octahedra, a cornercorner with one ONa3Bi2 square pyramid, corners with two ONa3Bi2 trigonal bipyramids, edges with seven OBi6 octahedra, and an edgeedge with one ONa2Bi3 square pyramid. The corner-sharing octahedra tilt angles range from 3–91°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Bi4+ atoms to form distorted ONa3Bi3 octahedra that share corners with two ONa3Bi3 octahedra, corners with two ONa2Bi3 square pyramids, corners with two ONa3Bi2 trigonal bipyramids, edges with nine OBi6 octahedra, edges with two ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–20°. In the fourteenth O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form ONa4Bi2 octahedra that share corners with four OBi6 octahedra, corners with two ONa3Bi2 square pyramids, edges with seven OBi6 octahedra, edges with three ONa3Bi2 square pyramids, and edges with two equivalent ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–19°.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2F5 by Materials Project

LiMn2F5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with eight MnF6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There is three shorter (1.91 Å) and one longer (1.92 Å) Li–F bond length. In the second Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with eight MnF6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–F bond distances ranging from 1.90–1.94 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two equivalent MnF6 octahedra, corners with four LiF4 tetrahedra, and edges with four MnF6 octahedra. The corner-sharing octahedra tilt angles range from 14–21°. There are a spread of Mn–F bond distances ranging from 2.08–2.32 Å. In the second Mn2+ site, Mn2+ is bonded to six F1- atoms to form distorted MnF6 octahedra that share corners with four LiF4 tetrahedra and edges with five MnF6 octahedra. There are a spread of Mn–F bond distances ranging from 2.08–2.26 Å. In the third Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with five LiF4 tetrahedra and edges with four MnF6 octahedra. There are a spread of Mn–F bond distances ranging from 2.06–2.24 Å. In the fourth Mn2+ site, Mn2+ is bonded to six F1- atoms to form distorted MnF6 octahedra that share corners with two equivalent MnF6 octahedra, corners with three LiF4 tetrahedra, and edges with five MnF6 octahedra. The corner-sharing octahedra tilt angles range from 14–21°. There are a spread of Mn–F bond distances ranging from 2.06–2.32 Å. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the second F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the fourth F1- site, F1- is bonded in a rectangular see-saw-like geometry to four Mn2+ atoms. In the fifth F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the sixth F1- site, F1- is bonded in a rectangular see-saw-like geometry to four Mn2+ atoms. In the seventh F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the ninth F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Mn2+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two equivalent Mn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on V4(OF3)3 by Materials Project

V4(OF3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent V+3.75+ sites. In the first V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 22–27°. There is one shorter (1.98 Å) and one longer (2.00 Å) V–O bond length. There is three shorter (1.95 Å) and one longer (1.96 Å) V–F bond length. In the second V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There is one shorter (1.70 Å) and one longer (1.96 Å) V–O bond length. There are a spread of V–F bond distances ranging from 1.96–2.04 Å. In the third V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 22–30°. There is one shorter (1.68 Å) and one longer (1.94 Å) V–O bond length. There are a spread of V–F bond distances ranging from 1.97–2.04 Å. In the fourth V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 23–32°. There is one shorter (1.94 Å) and one longer (1.96 Å) V–O bond length. There is two shorter (1.97 Å) and two longer (2.00 Å) V–F bond length. In the fifth V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 24–30°. The V–O bond length is 1.69 Å. There are a spread of V–F bond distances ranging from 1.96–2.04 Å. In the sixth V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 23–38°. The V–O bond length is 1.69 Å. There are a spread of V–F bond distances ranging from 1.95–2.04 Å. In the seventh V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 23–38°. The V–O bond length is 1.68 Å. There are a spread of V–F bond distances ranging from 1.96–2.06 Å. In the eighth V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 21–31°. The V–O bond length is 1.69 Å. There are a spread of V–F bond distances ranging from 1.97–2.03 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. There are eighteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the second F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the third F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fourth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fifth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the sixth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the seventh F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the eighth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the ninth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the tenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the twelfth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the thirteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fourteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fifteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the sixteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the seventeenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the eighteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na5Li3Ti5O14 by Materials Project

Na5Li3Ti5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Na–O bond distances ranging from 2.29–2.47 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–20°. There are a spread of Na–O bond distances ranging from 2.29–2.50 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with three NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are a spread of Na–O bond distances ranging from 2.29–2.51 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with five NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Na–O bond distances ranging from 2.29–2.41 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with three NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Na–O bond distances ranging from 2.27–2.45 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Li–O bond distances ranging from 2.13–2.52 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–18°. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are a spread of Ti–O bond distances ranging from 1.88–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with three LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–20°. There are a spread of Ti–O bond distances ranging from 1.84–2.29 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form ONaLi2Ti2 square pyramids that share corners with four ONa3LiTi2 octahedra, corners with five ONaLi2Ti2 square pyramids, edges with five ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the second O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form ONa3LiTi2 octahedra that share corners with four ONa2Li2Ti2 octahedra, corners with two ONaLi2Ti2 square pyramids, edges with eight ONa3LiTi2 octahedra, and edges with four ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. In the third O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with three ONa2Li2Ti2 octahedra, corners with three ONaLi2Ti2 square pyramids, edges with nine ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the fourth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 3–16°. In the fifth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and edges with five ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–17°. In the sixth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with three ONa2Li2Ti2 octahedra, corners with three ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with six ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–17°. In the seventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONa2Li2Ti2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and edges with five ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–11°. In the eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share corners with three ONa3Ti3 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 8–10°. In the ninth O2- site, O2- is bonded to two Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa2LiTi2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with two ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti4+ atoms to form distorted ONa3Ti3 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2Ti3 square pyramids, edges with nine ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. In the eleventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two ONa2Ti3 square pyramids, edges with eight ONa3LiTi2 octahedra, and edges with four ONa2Ti3 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with four ONa2Li2Ti2 octahedra, corners with five ONaLi2Ti2 square pyramids, edges with five ONa2Li2Ti2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the thirteenth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with three ONa3Ti3 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with two ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°. In the fourteenth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form ONa3LiTi2 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2Ti3 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with six ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°.

36 MATERIALS SCIENCE↗

Materials Data on MgTi14O25 by Materials Project

MgTi14O25 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with three TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–42°. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. There are fourteen inequivalent Ti+3.43+ sites. In the first Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–41°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the second Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of Ti–O bond distances ranging from 1.90–2.21 Å. In the third Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the fourth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the sixth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.23 Å. In the seventh Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.85–2.23 Å. In the eighth Ti+3.43+ site, Ti+3.43+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.18 Å. In the ninth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the tenth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eleventh Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.21 Å. In the twelfth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the thirteenth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–42°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.43+ site, Ti+3.43+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.43+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.43+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with three OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twenty-first O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti+3.43+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.43+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.43+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.43+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on V4(OF3)3 by Materials Project

V4(OF3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent V+3.75+ sites. In the first V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 20–25°. There is one shorter (1.99 Å) and one longer (2.00 Å) V–O bond length. All V–F bond lengths are 1.95 Å. In the second V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 19–32°. There is one shorter (1.69 Å) and one longer (1.97 Å) V–O bond length. There are a spread of V–F bond distances ranging from 1.96–2.05 Å. In the third V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 20–30°. There is one shorter (1.67 Å) and one longer (1.96 Å) V–O bond length. There are a spread of V–F bond distances ranging from 1.96–2.04 Å. In the fourth V+3.75+ site, V+3.75+ is bonded to two O2- and four F1- atoms to form corner-sharing VO2F4 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. There is one shorter (1.95 Å) and one longer (1.97 Å) V–O bond length. There are a spread of V–F bond distances ranging from 1.97–2.01 Å. In the fifth V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 24–32°. The V–O bond length is 1.69 Å. There are a spread of V–F bond distances ranging from 1.96–2.05 Å. In the sixth V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 21–32°. The V–O bond length is 1.68 Å. There are a spread of V–F bond distances ranging from 1.95–2.04 Å. In the seventh V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 22–32°. The V–O bond length is 1.68 Å. There are a spread of V–F bond distances ranging from 1.96–2.06 Å. In the eighth V+3.75+ site, V+3.75+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 19–32°. The V–O bond length is 1.68 Å. There are a spread of V–F bond distances ranging from 1.96–2.04 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V+3.75+ atoms. There are eighteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the second F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the third F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fourth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fifth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the sixth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the seventh F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the eighth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the ninth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the tenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the twelfth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the thirteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fourteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the fifteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the sixteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the seventeenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms. In the eighteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V+3.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li6Sb2S7 by Materials Project

Li6Sb2S7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 trigonal bipyramids that share corners with six LiS5 square pyramids, corners with three equivalent LiS5 trigonal bipyramids, edges with four equivalent SbS6 octahedra, and edges with four LiS5 square pyramids. There are a spread of Li–S bond distances ranging from 2.51–2.72 Å. In the second Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with five LiS5 square pyramids, corners with four equivalent LiS5 trigonal bipyramids, edges with four equivalent SbS6 octahedra, edges with two equivalent LiS5 square pyramids, and edges with two equivalent LiS5 trigonal bipyramids. There are a spread of Li–S bond distances ranging from 2.53–2.66 Å. In the third Li1+ site, Li1+ is bonded to five S2- atoms to form LiS5 square pyramids that share corners with three equivalent SbS6 octahedra, corners with four LiS5 square pyramids, corners with two equivalent LiS5 trigonal bipyramids, edges with three equivalent SbS6 octahedra, edges with three LiS5 square pyramids, and edges with two equivalent LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Li–S bond distances ranging from 2.51–2.96 Å. Sb4+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with three equivalent SbS6 octahedra, corners with three equivalent LiS5 square pyramids, an edgeedge with one SbS6 octahedra, edges with seven LiS5 square pyramids, and edges with four equivalent LiS5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Sb–S bond distances ranging from 2.48–2.67 Å. There are four inequivalent S2- sites. In the first S2- site, S2- is bonded to four Li1+ and two equivalent Sb4+ atoms to form SLi4Sb2 octahedra that share corners with six equivalent SLi5Sb octahedra and edges with ten SLi4Sb2 octahedra. The corner-sharing octahedra tilt angles range from 5–21°. In the second S2- site, S2- is bonded to four Li1+ and two equivalent Sb4+ atoms to form a mixture of edge and corner-sharing SLi4Sb2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. In the third S2- site, S2- is bonded to five Li1+ and one Sb4+ atom to form a mixture of edge and corner-sharing SLi5Sb octahedra. The corner-sharing octahedra tilt angles range from 5–21°. In the fourth S2- site, S2- is bonded to four Li1+ and two equivalent Sb4+ atoms to form a mixture of edge and corner-sharing SLi4Sb2 octahedra. The corner-sharing octahedra tilt angles range from 1–14°.

36 MATERIALS SCIENCE↗

Materials Data on Li4TiMn2Ni3(PO4)6 by Materials Project

Li4TiMn2Ni3(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.47 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.36 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.39 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.41 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.10 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.11–2.36 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and faces with two NiO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.12–2.29 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 1.97–2.13 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.19 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.13 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–49°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–51°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one MnO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–54°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one Mn2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Mn2+, one Ni2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗