DOI: 10.17188/1295803
title: Materials Data on Li11Cr3Fe3O16 by Materials Project

description: Li11Cr3Fe3O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven 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 1.90–1.98 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four CrO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, edges with two equivalent LiO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 3–68°. There are a spread of Li–O bond distances ranging from 2.07–2.24 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 1.97–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent LiO5 trigonal bipyramids, edges with two equivalent FeO6 octahedra, edges with four CrO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fifth 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 1.88–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four CrO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, edges with two equivalent LiO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 4–68°. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CrO6 octahedra, corners with two FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four LiO5 trigonal bipyramids, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 3–65°. There are a spread of Li–O bond distances ranging from 2.03–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO5 trigonal bipyramids, corners with three equivalent LiO4 trigonal pyramids, edges with two equivalent CrO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.27 Å. In the tenth 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 1.98–2.07 Å. In the eleventh 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 CrO6 octahedra, corners with three equivalent LiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–69°. There are a spread of Li–O bond distances ranging from 1.86–1.89 Å. There are three inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.90–2.05 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.92–2.15 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent LiO6 octahedra, edges with four CrO6 octahedra, and edges with three LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and two Cr4+ atoms to form OLi3Cr2 trigonal bipyramids that share corners with three equivalent OLi4Cr2 octahedra, corners with four OLi3CrFe square pyramids, corners with four OLi2CrFe2 trigonal bipyramids, edges with three OLi3Cr2Fe octahedra, and edges with two OLi3CrFe square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. In the second O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi4Fe2 octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi2CrFe2 trigonal bipyramids. In the third O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with three equivalent OLi4CrFe octahedra, corners with four OLi3Cr2 trigonal bipyramids, edges with three OLi3Cr2Fe octahedra, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to two Li1+, one Cr4+, and two Fe3+ atoms to form OLi2CrFe2 trigonal bipyramids that share corners with three equivalent OLi3CrFe2 pentagonal pyramids, corners with four OLi3CrFe square pyramids, corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi4Fe2 octahedra, and edges with two OLi3CrFe square pyramids. In the fifth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Fe3+ atoms to form distorted OLi3CrFe2 pentagonal pyramids that share corners with two equivalent OLi3Cr2Fe octahedra, corners with three equivalent OLi2CrFe2 trigonal bipyramids, edges with five OLi4Cr2 octahedra, edges with two OLi3CrFe square pyramids, and an edgeedge with one OLi3Fe2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–22°. In the sixth O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi4Fe2 octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi2CrFe2 trigonal bipyramids. In the seventh O2- site, O2- is bonded to three Li1+ and two Fe3+ atoms to form OLi3Fe2 trigonal bipyramids that share corners with three equivalent OLi4Fe2 octahedra, corners with four OLi3CrFe square pyramids, corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi3CrFe2 pentagonal pyramid, and edges with two OLi3CrFe square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr4+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with three equivalent OLi4CrFe octahedra, corners with four OLi3Cr2 trigonal bipyramids, edges with three OLi3Cr2Fe octahedra, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form OLi4Cr2 octahedra that share corners with two equivalent OLi4Fe2 octahedra, corners with three equivalent OLi3Cr2 trigonal bipyramids, edges with six OLi3Cr2Fe octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, edges with two OLi3CrFe square pyramids, and an edgeedge with one OLi2Cr2Fe trigonal bipyramid. The corner-sharing octahedra tilt angles range from 29–30°. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr4+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi4CrFe octahedra that share corners with two OLi3Cr2Fe octahedra, corners with three equivalent OLi3CrFe square pyramids, edges with five OLi3Cr2Fe octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, an edgeedge with one OLi3CrFe square pyramid, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–85°. In the thirteenth O2- site, O2- is bonded to two Li1+, two Cr4+, and one Fe3+ atom to form OLi2Cr2Fe trigonal bipyramids that share corners with three equivalent OLi3Cr2Fe octahedra, corners with four OLi3CrFe square pyramids, corners with four OLi3Cr2 trigonal bipyramids, edges with three OLi4Cr2 octahedra, and edges with two OLi3CrFe square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Cr4+, and one Fe3+ atom to form OLi4CrFe octahedra that share corners with two OLi3Cr2Fe octahedra, corners with three equivalent OLi3CrFe square pyramids, edges with five OLi3Cr2Fe octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, an edgeedge with one OLi3CrFe square pyramid, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–86°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Fe3+ atoms to form distorted OLi4Fe2 octahedra that share corners with four OLi4Cr2 octahedra, corners with three equivalent OLi3Fe2 trigonal bipyramids, edges with two equ