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Materials Data on Li4Mn3Cr3(FeO8)2 by Materials Project

Li4Cr3Mn3(FeO8)2 is Spinel-derived structured and 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 three equivalent FeO6 octahedra, corners with four CrO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one CrO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 61–64°. There are a spread of Li–O bond distances ranging from 1.78–1.95 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 MnO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Li–O bond distances ranging from 1.77–1.93 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four MnO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. There are three inequivalent Cr+5.33+ sites. In the first Cr+5.33+ site, Cr+5.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–O bond distances ranging from 1.92–1.98 Å. In the second Cr+5.33+ site, Cr+5.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Cr–O bond distances ranging from 1.98–2.04 Å. In the third Cr+5.33+ site, Cr+5.33+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 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 CrO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one MnO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CrO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Fe–O bond distances ranging from 2.01–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr+5.33+, and one Fe3+ atom to form distorted OLiCr2Fe tetrahedra that share corners with four OLiMnCr2 tetrahedra and edges with two OLiMnCrFe tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+5.33+, and one Mn2+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Cr+5.33+, and one Mn2+ atom to form distorted corner-sharing OLiMnCr2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Cr+5.33+, and two Mn2+ atoms to form distorted corner-sharing OLiMn2Cr tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom to form distorted OLiMnCrFe tetrahedra that share corners with four OLiCr2Fe tetrahedra and edges with two OLiMnCrFe tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom to form distorted OLiMnCrFe tetrahedra that share corners with four OLiCr2Fe tetrahedra and edges with two OLiMnCrFe tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+5.33+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom to form distorted OLiMnCrFe tetrahedra that share corners with four OLiMn2Cr tetrahedra and edges with two OLiMn2Fe tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom to form distorted OLiMnCrFe tetrahedra that share corners with four OLiMn2Cr tetrahedra and edges with two OLiMn2Fe tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+5.33+, and two Mn2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn2+, and one Fe3+ atom to form distorted OLiMn2Fe tetrahedra that share corners with four OLiMn2Cr tetrahedra and edges with two OLiMnCrFe tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr+5.33+, one Mn2+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Cr2Fe3O16 by Materials Project

Li4Cr2Mn3Fe3O16 is Spinel-derived structured and 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 three equivalent CrO6 octahedra, corners with four FeO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.94–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent CrO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 60–64°. There are a spread of Li–O bond distances ranging from 1.78–1.95 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is one shorter (1.77 Å) and three longer (1.93 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CrO6 octahedra, corners with four MnO6 octahedra, and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. There are two inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Cr–O bond distances ranging from 2.01–2.12 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four FeO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Cr–O bond distances ranging from 2.00–2.10 Å. There are three inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 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 two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.96–2.06 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 1.96–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Fe–O bond distances ranging from 1.99–2.05 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, one Cr6+, and two Fe3+ atoms to form distorted corner-sharing OLiCrFe2 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+2.33+, and two Fe3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+2.33+, and two Fe3+ atoms to form distorted corner-sharing OLiMnFe2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one Fe3+ atom to form distorted corner-sharing OLiMn2Fe tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Fe3+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Mn+2.33+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom to form distorted OLiMnCrFe tetrahedra that share corners with four OLiMn2Fe tetrahedra and edges with two OLiMn2Cr tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom to form distorted OLiMnCrFe tetrahedra that share corners with four OLiMn2Fe tetrahedra and edges with two OLiMn2Cr tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.33+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Mn+2.33+ atoms to form distorted OLiMn2Cr tetrahedra that share corners with four OLiMn2Fe tetrahedra and edges with two OLiMnCrFe tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, one Mn+2.33+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li10Mn3Cr3(FeO8)2 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗