Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “Li-O-Ti”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 55 records · Page 3

Materials Data on Li2Ti3O6 by Materials Project

Li2Ti3O6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with eight TiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. There are two inequivalent Ti+3.33+ sites. In the first Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with four equivalent TiO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Ti–O bond distances ranging from 2.02–2.05 Å. In the second Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with five equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Ti–O bond distances ranging from 2.00–2.08 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the second O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the third O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti15O32 by Materials Project

Li4Ti15O32 crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with nine equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There is three shorter (1.96 Å) and one longer (2.00 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are one shorter (2.00 Å) and three longer (2.02 Å) Li–O bond lengths. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There is three shorter (1.92 Å) and three longer (2.05 Å) Ti–O bond length. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the fourth Ti4+ site, Ti4+ is bonded to six equivalent O2- atoms to form edge-sharing TiO6 octahedra. All Ti–O bond lengths are 1.99 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a tetrahedral geometry to one Li1+ and three equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+ and three equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8Ti15O32 by Materials Project

Li8Ti15O32 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. All Li–O bond lengths are 2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are one shorter (2.00 Å) and three longer (2.02 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. All Li–O bond lengths are 2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are three shorter (1.99 Å) and one longer (2.03 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.12 Å) and three longer (2.13 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are one shorter (2.02 Å) and three longer (2.03 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are three shorter (1.99 Å) and one longer (2.02 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are three shorter (2.01 Å) and one longer (2.03 Å) Li–O bond lengths. There are seven inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (1.98 Å) and three longer (2.04 Å) Ti–O bond lengths. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (1.97 Å) and three longer (2.03 Å) Ti–O bond lengths. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the sixth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. In the seventh Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There is three shorter (1.98 Å) and three longer (2.01 Å) Ti–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three equivalent Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti+3.73+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Ti+3.73+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Ti+3.73+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three equivalent Ti+3.73+ atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three equivalent Ti+3.73+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three equivalent Ti+3.73+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three equivalent Ti+3.73+ atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+ and three equivalent Ti+3.73+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.73+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+ and three equivalent Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti11O24 by Materials Project

Li4Ti11O24 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 to four O2- atoms to form LiO4 tetrahedra that share corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.19 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.21 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiTi8O16 by Materials Project

LiTi8O16 crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. 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 1.86–2.07 Å. There are five inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.07 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. 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 1.87–2.12 Å. There are two inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.11 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.50+ atoms. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti3 square pyramids, corners with two equivalent OLiTi3 tetrahedra, and edges with two equivalent OLi2Ti3 square pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 crystallizes in the orthorhombic Imma space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are four shorter (2.19 Å) and two longer (2.20 Å) Li–O bond lengths. There are two inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with four equivalent LiO6 octahedra and edges with six TiO6 octahedra. All Ti–O bond lengths are 2.00 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are two shorter (2.02 Å) and four longer (2.04 Å) Ti–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.50+ atoms to form a mixture of corner and edge-sharing OLi2Ti3 square pyramids. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Ti4O8 by Materials Project

Li3Ti4O8 crystallizes in the monoclinic C2 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 equivalent TiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with eight TiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.04–2.11 Å. There are three inequivalent Ti+3.25+ sites. In the first Ti+3.25+ site, Ti+3.25+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the second Ti+3.25+ site, Ti+3.25+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent TiO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Ti–O bond distances ranging from 2.04–2.10 Å. In the third Ti+3.25+ site, Ti+3.25+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with six LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ti+3.25+ atoms to form OLi3Ti3 octahedra that share corners with six equivalent OLi3Ti3 octahedra and edges with twelve OLi2Ti3 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to one Li1+ and four Ti+3.25+ atoms to form OLiTi4 square pyramids that share corners with nine OLi2Ti3 square pyramids, edges with four OLi3Ti3 octahedra, and edges with four OLi2Ti3 square pyramids. In the third O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.25+ atoms to form OLi2Ti3 square pyramids that share corners with nine OLi3Ti2 square pyramids, edges with four OLi3Ti3 octahedra, and edges with four OLi3Ti2 square pyramids. In the fourth O2- site, O2- is bonded to three Li1+ and two Ti+3.25+ atoms to form OLi3Ti2 square pyramids that share corners with nine OLi2Ti3 square pyramids, edges with four OLi3Ti3 octahedra, and edges with four OLiTi4 square pyramids. In the fifth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.25+ atoms to form OLi2Ti3 square pyramids that share corners with nine OLi2Ti3 square pyramids, edges with four OLi3Ti3 octahedra, and edges with four OLi3Ti2 square pyramids. In the sixth O2- site, O2- is bonded to three Li1+ and three Ti+3.25+ atoms to form OLi3Ti3 octahedra that share corners with six equivalent OLi3Ti3 octahedra and edges with twelve OLi2Ti3 square pyramids. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Li4TiO4 by Materials Project

Li4TiO4 is Aluminum carbonitride-like structured and crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.20 Å. In the second Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.40 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two TiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two TiO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one TiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.58 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent TiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.01 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.60 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four TiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with six LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–2.11 Å. In the twelfth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.20 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two TiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.15 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four LiO4 tetrahedra, corners with four TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–2.16 Å. In the fifteenth Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.19 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two equivalent TiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one TiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.81–2.04 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.81–1.89 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.79–1.88 Å. In the third Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with seven LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, and edges with three LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.83–1.85 Å. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.82–1.85 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form distorted OLi4Ti trigonal bipyramids that share a cornercorner with one OLi5Ti octahedra, corners with two equivalent OLi4Ti trigonal bipyramids, corners with two OLi3Ti trigonal pyramids, edges with two OLi5Ti octahedra, and an edgeedge with one OLi3Ti trigonal pyramid. The corner-sharing octahedral tilt angles are 56°. In the second O2- site, O2- is bonded to three Li1+ and one Ti4+ atom to form distorted OLi3Ti trigonal pyramids that share corners with two OLi5Ti octahedra, a cornercorner with one OLi3Ti tetrahedra, a cornercorner with one OLi4Ti trigonal bipyramid, a cornercorner with one OLi3Ti trigonal pyramid, and edges with two OLi4Ti trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–65°. In the third O2- site, O2- is bonded to three Li1+ and one Ti4+ atom to form OLi3Ti trigonal pyramids that share a cornercorner with one OLi3Ti tetrahedra, corners with three OLi4Ti trigonal bipyramids, a cornercorner with one OLi3Ti trigonal pyramid, and an edgeedge with one OLi4Ti trigonal bipyramid. In the fourth O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form distorted OLi4Ti trigonal bipyramids that share corners with two equivalent OLi4Ti trigonal bipyramids, a cornercorner with one OLi3Ti trigonal pyramid, an edgeedge with one OLi4Ti trigonal bipyramid, and edges with two OLi3Ti trigonal pyramids. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a see-saw-like geometry to three Li1+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form OLi4Ti trigonal bipyramids that share corners with two OLi5Ti octahedra, a cornercorner with one OLi3Ti trigonal pyramid, and an edgeedge with one OLi4Ti trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–57°. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and one Ti4+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ti4+ atom. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded to five Li1+ and one Ti4+ atom to form distorted OLi5Ti octahedra that share a cornercorner with one OLi3Ti tetrahedra, a cornercorner with one OLi4Ti trigonal bipyramid, a cornercorner with one OLi3Ti trigonal pyramid, edges with two equivalent OLi5Ti octahedra, and an edgeedge with one OLi4Ti trigonal bipyramid. In the twelfth O2- site, O2- is bonded to five Li1+ and one Ti4+ atom to form distorted OLi5Ti octahedra that share corners with two OLi4Ti trigonal bipyramids, a cornercorner with one OLi3Ti trigonal pyramid, edges with two equivalent OLi5Ti octahedra, and an edgeedge with one OLi4Ti trigonal bipyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded to three Li1+ and one Ti4+ atom to form distorted OLi3Ti tetrahedra that share a cornercorner with one OLi5Ti octahedra and corners with two OLi3Ti trigonal pyramids. The corner-sharing octahedral tilt angles are 49°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti7O16 by Materials Project

Li4Ti7O16 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first 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 1.90–2.03 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four equivalent TiO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the third 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 1.87–2.05 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 corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Ti–O bond distances ranging from 1.85–2.14 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 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+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLi2Ti2 tetrahedra, edges with two equivalent OLi3Ti2 square pyramids, and edges with two equivalent OLi2Ti2 tetrahedra. In the fourth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 tetrahedra that share corners with two OLi2Ti3 square pyramids, corners with two equivalent OLi2Ti2 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, and edges with two OLi3Ti2 square pyramids. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded to three Li1+ and two equivalent Ti4+ atoms to form OLi3Ti2 square pyramids that share corners with two equivalent OLi2Ti2 tetrahedra, a cornercorner with one OLi2Ti2 trigonal pyramid, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLi2Ti2 tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the ninth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded to two Li1+ and two equivalent Ti4+ atoms to form OLi2Ti2 trigonal pyramids that share a cornercorner with one OLi3Ti2 square pyramid and corners with five OLi2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LiTiO2 by Materials Project

LiTiO2 is H-Phase structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Li1+ is bonded to six equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent TiO6 pentagonal pyramids, edges with six equivalent LiO6 octahedra, and edges with six equivalent TiO6 pentagonal pyramids. All Li–O bond lengths are 2.12 Å. Ti3+ is bonded to six equivalent O2- atoms to form distorted TiO6 pentagonal pyramids that share corners with six equivalent LiO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent TiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 2°. All Ti–O bond lengths are 2.07 Å. O2- is bonded to three equivalent Li1+ and three equivalent Ti3+ atoms to form a mixture of face, edge, and corner-sharing OLi3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–47°.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ti12O24 by Materials Project

Li5Ti12O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first 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 1.87–2.09 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 1.87–2.08 Å. In the third 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 1.86–2.10 Å. In the fourth 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 1.88–2.09 Å. There are eight inequivalent Ti+3.58+ sites. In the first Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the second Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the third Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.07 Å. In the fourth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the fifth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of Ti–O bond distances ranging from 1.96–2.09 Å. In the sixth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Ti–O bond distances ranging from 1.96–2.05 Å. In the seventh Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–O bond distances ranging from 2.00–2.04 Å. In the eighth Ti+3.58+ site, Ti+3.58+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–53°. There are a spread of Ti–O bond distances ranging from 1.95–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.58+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the third O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.58+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.58+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLi2Ti3 square pyramids, corners with two OLiTi3 tetrahedra, and edges with two OLi2Ti3 square pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.58+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti3 square pyramids, corners with two equivalent OLiTi3 tetrahedra, and edges with two equivalent OLi2Ti3 square pyramids. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.58+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.58+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the eleventh O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.58+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra. In the twelfth O2- site, O2- is bonded to two Li1+ and three Ti+3.58+ atoms to form OLi2Ti3 square pyramids that share corners with two OLiTi3 tetrahedra, edges with two OLi2Ti3 square pyramids, and edges with two OLiTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.58+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.58+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti11O24 by Materials Project

Li7Ti11O24 is Spinel-like structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.10 Å) and two longer (2.13 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. There are five inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.02 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.11 Å. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four equivalent TiO6 octahedra. There is four shorter (1.98 Å) and two longer (2.01 Å) Ti–O bond length. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.99–2.02 Å. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Ti+3.73+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.73+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.73+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti11O24 by Materials Project

Li7Ti11O24 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent TiO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Li–O bond distances ranging from 2.01–2.31 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 1.87–2.08 Å. In the third 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 1.87–2.13 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.05 Å. In the fifth 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 1.89–2.10 Å. There are seven inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.08 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.07 Å. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the sixth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–55°. There are a spread of Ti–O bond distances ranging from 1.89–2.12 Å. In the seventh Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–51°. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two equivalent Ti+3.73+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLi2Ti3 square pyramids, corners with two OLiTi3 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, and edges with two OLi2Ti3 square pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti3 square pyramids, corners with two equivalent OLiTi3 tetrahedra, corners with two OLiTi3 trigonal pyramids, edges with two equivalent OLi2Ti3 square pyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the fifth O2- site, O2- is bonded to two Li1+ and two Ti+3.73+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 tetrahedra, corners with two OLiTi3 trigonal pyramids, and edges with two OLi2Ti3 square pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti3 square pyramids, corners with four OLiTi3 trigonal pyramids, edges with two equivalent OLi2Ti3 square pyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.73+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.73+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti+3.73+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form OLiTi3 trigonal pyramids that share corners with two equivalent OLi2Ti3 square pyramids, corners with two OLiTi3 tetrahedra, corners with two equivalent OLi2Ti2 trigonal pyramids, edges with two equivalent OLi2Ti3 square pyramids, and an edgeedge with one OLiTi3 tetrahedra. In the eleventh O2- site, O2- is bonded to two Li1+ and three Ti+3.73+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLiTi3 tetrahedra, corners with two OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLiTi3 tetrahedra, and edges with two OLiTi3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Li1+ and two equivalent Ti+3.73+ atoms to form OLi3Ti2 square pyramids that share corners with two equivalent OLi2Ti2 trigonal pyramids, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLi2Ti2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and three Ti+3.73+ atoms to form OLi2Ti3 square pyramids that share corners with two OLiTi3 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, edges with two OLiTi3 tetrahedra, and an edgeedge with one OLiTi3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.73+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.73+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form OLiTi3 trigonal pyramids that share corners with two equivalent OLi2Ti3 square pyramids, corners with four OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and an edgeedge with one OLiTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti11O24 by Materials Project

Li4Ti11O24 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 to six O2- atoms to form distorted LiO6 octahedra that share corners with four TiO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–O bond distances ranging from 2.01–2.25 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 1.86–2.06 Å. In the third 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 1.86–2.05 Å. In the fourth 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 1.86–2.07 Å. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Ti–O bond distances ranging from 1.86–2.08 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 tetrahedra that share a cornercorner with one OLi3Ti2 square pyramid, a cornercorner with one OLi2Ti2 tetrahedra, and an edgeedge with one OLi3Ti2 square pyramid. In the ninth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 tetrahedra that share a cornercorner with one OLi3Ti2 square pyramid, a cornercorner with one OLi2Ti2 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, and an edgeedge with one OLi3Ti2 square pyramid. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded to three Li1+ and two Ti4+ atoms to form OLi3Ti2 square pyramids that share corners with two OLi2Ti2 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, and edges with two OLi2Ti2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form OLiTi3 trigonal pyramids that share a cornercorner with one OLi3Ti2 square pyramid, corners with two OLiTi3 tetrahedra, and an edgeedge with one OLiTi3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti11O24 by Materials Project

Li7Ti11O24 is Spinel-like structured and crystallizes in the monoclinic C2/m 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 two equivalent LiO6 octahedra and corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. All Li–O bond lengths are 2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are one shorter (1.98 Å) and three longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. All Li–O bond lengths are 2.11 Å. There are five inequivalent Ti+3.73+ sites. In the first Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.06 Å. In the second Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.02 Å. In the third Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.00 Å) and two longer (2.02 Å) Ti–O bond lengths. In the fifth Ti+3.73+ site, Ti+3.73+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.02 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Ti+3.73+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.73+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Ti+3.73+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+ and three Ti+3.73+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti15O32 by Materials Project

Li4Ti15O32 crystallizes in the trigonal R3m 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 LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There is one shorter (1.98 Å) and three longer (1.99 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are three shorter (2.11 Å) and three longer (2.16 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are one shorter (1.99 Å) and three longer (2.04 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are three shorter (1.97 Å) and one longer (2.05 Å) Li–O bond lengths. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There is three shorter (1.90 Å) and three longer (2.08 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There is three shorter (1.90 Å) and three longer (2.09 Å) Ti–O bond length. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six TiO6 octahedra. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two equivalent Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three equivalent Ti4+ atoms to form distorted edge-sharing OLiTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three equivalent Ti4+ atoms to form distorted corner-sharing OLiTi3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti16O32 by Materials Project

Li7Ti16O32 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 in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.09 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 1.87–2.08 Å. In the third 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 1.87–2.10 Å. In the fourth 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 1.87–2.08 Å. There are ten inequivalent Ti+3.56+ sites. In the first Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.13 Å. In the second Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the third Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. In the fourth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Ti–O bond distances ranging from 1.95–2.09 Å. In the fifth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the sixth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the seventh Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–50°. There are a spread of Ti–O bond distances ranging from 1.99–2.04 Å. In the eighth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Ti–O bond distances ranging from 1.97–2.10 Å. In the ninth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.99–2.05 Å. In the tenth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.11 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.56+ atoms to form distorted OLiTi3 tetrahedra that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLiTi3 tetrahedra, and an edgeedge with one OLi2Ti3 square pyramid. In the second O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Ti+3.56+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.56+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.56+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.56+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the ninth O2- site, O2- is bonded to one Li1+ and three Ti+3.56+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLi2Ti3 square pyramids, corners with two OLiTi3 tetrahedra, and edges with two OLi2Ti3 square pyramids. In the tenth O2- site, O2- is bonded to one Li1+ and three Ti+3.56+ atoms to form distorted OLiTi3 tetrahedra that share corners with two OLi2Ti3 square pyramids, corners with two OLiTi3 tetrahedra, and edges with two OLi2Ti3 square pyramids. In the eleventh O2- site, O2- is bonded to two Li1+ and three Ti+3.56+ atoms to form OLi2Ti3 square pyramids that share corners with two OLiTi3 tetrahedra, edges with two OLi2Ti3 square pyramids, and edges with two OLiTi3 tetrahedra. In the twelfth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.56+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.56+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.56+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.56+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.56+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.56+ atoms. In the eighteenth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.56+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the nineteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+ and three Ti+3.56+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.56+ atoms.

36 MATERIALS SCIENCE↗