DOI: 10.17188/1299837
title: Materials Data on Li4Ti2Cr3Fe3O16 by Materials Project

description: Li4Ti2Cr3Fe3O16 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 TiO6 octahedra, corners with four CrO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the second 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 FeO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.78–1.97 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one FeO6 octahedra, corners with two equivalent CrO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 63–64°. There are a spread of Li–O bond distances ranging from 1.76–1.95 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent TiO6 octahedra, corners with four FeO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There is three shorter (1.95 Å) and one longer (2.01 Å) Li–O bond length. 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 CrO6 octahedra, corners with four equivalent FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one FeO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–O bond distances ranging from 1.97–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ti–O bond distances ranging from 1.89–2.16 Å. There are two inequivalent Cr+3.67+ sites. In the first Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–O bond distances ranging from 1.95–2.07 Å. In the second Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four equivalent FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, 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 53°. There are a spread of Fe–O bond distances ranging from 1.93–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Fe–O bond distances ranging from 1.92–2.01 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 Cr+3.67+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr+3.67+ atoms. In the third O2- site, O2- is bonded to one Li1+, two equivalent Cr+3.67+, and one Fe3+ atom to form distorted corner-sharing OLiCr2Fe trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Cr+3.67+, and one Fe3+ atom to form corner-sharing OLiCr2Fe tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Cr+3.67+, and two equivalent Fe3+ atoms to form distorted OLiCrFe2 tetrahedra that share corners with six OLiTiCrFe tetrahedra and corners with three equivalent OLiCrFe2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+3.67+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Cr+3.67+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Fe3+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+3.67+, and one Fe3+ atom to form distorted OLiTiCrFe tetrahedra that share corners with four OLiTiCrFe tetrahedra, a cornercorner with one OLiCr2Fe trigonal pyramid, edges with two OLiTiCrFe tetrahedra, and an edgeedge with one OLiCrFe2 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+, one Cr+3.67+, and two equivalent Fe3+ atoms to form distorted OLiCrFe2 trigonal pyramids that share corners with three equivalent OLiCrFe2 tetrahedra and edges with three OLiTiCrFe tetrahedra. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+3.67+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Fe3+ atoms to form distorted OLiTiFe2 tetrahedra that share corners with four OLiTiCrFe tetrahedra, a cornercorner with one OLiCr2Fe trigonal pyramid, edges with two equivalent OLiTiCrFe tetrahedra, and an edgeedge with one OLiCrFe2 trigonal pyramid.