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Materials Data on Li4TiV4Cr4O18 by Materials Project

Li4TiV4Cr4O18 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, an edgeedge with one VO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–81°. There are a spread of Li–O bond distances ranging from 2.12–2.32 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.83 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, corners with four VO6 octahedra, edges with two VO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 13–82°. There are a spread of Li–O bond distances ranging from 2.13–2.41 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 2.19–2.50 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.92–2.12 Å. There are four inequivalent V+4.25+ sites. In the first V+4.25+ site, V+4.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent VO6 octahedra, edges with four CrO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.89–2.01 Å. In the second V+4.25+ site, V+4.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of V–O bond distances ranging from 1.88–2.11 Å. In the third V+4.25+ site, V+4.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four CrO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.87–2.00 Å. In the fourth V+4.25+ site, V+4.25+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four CrO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.87–2.01 Å. There are four inequivalent Cr+2.75+ sites. In the first Cr+2.75+ site, Cr+2.75+ is bonded to five O2- atoms to form CrO5 square pyramids that share corners with two equivalent CrO6 octahedra, corners with four VO6 octahedra, and edges with two equivalent CrO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Cr–O bond distances ranging from 1.94–2.01 Å. In the second Cr+2.75+ site, Cr+2.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent CrO5 square pyramids, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–O bond distances ranging from 1.98–2.04 Å. In the third Cr+2.75+ site, Cr+2.75+ is bonded to five O2- atoms to form distorted CrO5 square pyramids that share corners with two equivalent CrO6 octahedra, corners with four VO6 octahedra, and edges with two equivalent CrO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–68°. There are a spread of Cr–O bond distances ranging from 1.94–2.01 Å. In the fourth Cr+2.75+ site, Cr+2.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CrO5 square pyramids, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–O bond distances ranging from 1.98–2.04 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one V+4.25+ and two equivalent Cr+2.75+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one V+4.25+ and two equivalent Cr+2.75+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three V+4.25+ atoms to form distorted OLi2V3 trigonal bipyramids that share corners with two equivalent OLi2Cr3 trigonal bipyramids and edges with three OLi2V3 trigonal bipyramids. In the fifth O2- site, O2- is bonded to two equivalent Li1+ and three Cr+2.75+ atoms to form distorted OLi2Cr3 trigonal bipyramids that share a cornercorner with one OLi2V2Cr square pyramid, corners with two equivalent OLi2V3 trigonal bipyramids, and edges with three OLi2V3 trigonal bipyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+4.25+, and one Cr+2.75+ atom. In the seventh O2- site, O2- is bonded to two equivalent Li1+, two equivalent V+4.25+, and one Cr+2.75+ atom to form OLi2V2Cr square pyramids that share corners with two equivalent OLi2V2Cr square pyramids, a cornercorner with one OLi2Cr3 trigonal bipyramid, and edges with three OLi2V2Cr square pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+, one V+4.25+, and two equivalent Cr+2.75+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+4.25+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one V+4.25+, and two equivalent Cr+2.75+ atoms. In the eleventh O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent V+4.25+ atoms. In the twelfth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+4.25+ atom to form distorted OLi2Ti2V trigonal bipyramids that share corners with two equivalent OLi2Cr3 trigonal bipyramids and edges with five OLi2Ti2V trigonal bipyramids. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+ and three Cr+2.75+ atoms to form distorted OLi2Cr3 trigonal bipyramids that share a cornercorner with one OLi2V2Cr square pyramid, corners with two equivalent OLi2Ti2V trigonal bipyramids, and edges with five OLi2Ti2V trigonal bipyramids. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+4.25+, and one Cr+2.75+ atom. In the fifteenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent V+4.25+, and one Cr+2.75+ atom to form OLi2V2Cr square pyramids that share corners with two equivalent OLi2V2Cr square pyramids, a cornercorner with one OLi2Cr3 trigonal bipyramid, edges with three OLi2V2Cr square pyramids, and edges with two equivalent OLi2TiCr2 trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one V+4.25+ and two equivalent Cr+2.75+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+4.25+ atoms. In the eighteenth O2- site, O2- is bonded to two Li1+, one Ti4+, and two equivalent Cr+2.75+ atoms to form distorted OLi2TiCr2 trigonal bipyramids that share corners with two equivalent OLi2TiCr2 trigonal bipyramids, edges with two equivalent OLi2V2Cr square pyramids, and edges with four OLi2Cr3 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3V2Cr3O16 by Materials Project

Li4Ti3V2Cr3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent VO6 octahedra, corners with four TiO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.78–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two equivalent TiO6 octahedra, corners with three equivalent VO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Li–O bond distances ranging from 1.78–1.99 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent VO6 octahedra, corners with four CrO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Li–O bond distances ranging from 1.97–2.01 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 two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with four equivalent CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are four shorter (1.94 Å) and two longer (2.09 Å) Ti–O bond lengths. There are two inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of V–O bond distances ranging from 1.84–2.10 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of V–O bond distances ranging from 2.04–2.15 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Cr–O bond distances ranging from 1.99–2.05 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one VO6 octahedra, edges with two equivalent TiO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Cr–O bond distances ranging from 1.97–2.12 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+3.50+, and one Cr3+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one V+3.50+ atom to form distorted OLiTi2V tetrahedra that share corners with four OLiTi2Cr tetrahedra and edges with two equivalent OLiTiVCr tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr3+ atom to form distorted corner-sharing OLiTi2Cr tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Cr3+ atoms to form corner-sharing OLiTiCr2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, one Ti4+, one V+3.50+, and one Cr3+ atom to form a mixture of distorted corner and edge-sharing OLiTiVCr tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one V+3.50+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+3.50+, and two equivalent Cr3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+3.50+, and one Cr3+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+3.50+, and one Cr3+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one V+3.50+, and two equivalent Cr3+ atoms to form distorted corner-sharing OLiVCr2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3V2Cr4O18 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2V3Cr3O16 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti4VCr4O18 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3V4Cr2O18 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti4V4CrO18 by Materials Project

Li4Ti4V4CrO18 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CrO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 14–77°. There are a spread of Li–O bond distances ranging from 2.08–2.31 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.42 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 two equivalent VO6 octahedra, corners with three equivalent LiO5 trigonal bipyramids, edges with four TiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent VO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. There are two inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form distorted VO5 square pyramids that share corners with two equivalent VO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of V–O bond distances ranging from 2.01–2.03 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.96–2.03 Å. Cr2+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent LiO5 trigonal bipyramids, edges with two equivalent CrO6 octahedra, edges with four equivalent VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. There are four shorter (2.02 Å) and two longer (2.05 Å) Cr–O bond lengths. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, one V+3.50+, and two equivalent Cr2+ atoms to form a mixture of edge and corner-sharing OLi2VCr2 square pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ti4+, and two equivalent V+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent V+3.50+ and one Cr2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted edge-sharing OLi2Ti3 trigonal bipyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Ti4+, and one V+3.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3V3Cr2O16 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗