DOI: 10.17188/1297131
title: Materials Data on Li4Ti15O32 by Materials Project

description: 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.