DOI: 10.17188/1305098
title: Materials Data on Li4Ti5Cr3O16 by Materials Project

description: Li4Ti5Cr3O16 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 five CrO6 octahedra and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent CrO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 60–65°. 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 five TiO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.79–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four CrO6 octahedra and corners with eight TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. 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 two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four equivalent CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.92–2.13 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, edges with three TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Ti–O bond distances ranging from 1.92–2.11 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 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 51–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.13 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent TiO6 octahedra, corners with six 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 Ti–O bond distances ranging from 1.94–2.13 Å. There are two inequivalent Cr+2.67+ sites. In the first Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with five TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 1.98–2.07 Å. In the second Cr+2.67+ site, Cr+2.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, edges with three TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Cr–O bond distances ranging from 1.98–2.07 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+, two Ti4+, and one Cr+2.67+ atom. In the second 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 third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Cr+2.67+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Cr+2.67+ atom to form corner-sharing OLiTi2Cr tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Cr+2.67+ atoms to form corner-sharing OLiTiCr2 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Cr+2.67+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Cr tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr+2.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Cr+2.67+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr+2.67+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Cr+2.67+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Cr+2.67+ atoms to form distorted corner-sharing OLiTiCr2 tetrahedra.