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Materials Data on Ca4Ta2O9 by Materials Project

Ca3(CaTa2)O9 crystallizes in the orthorhombic Pbcn space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with three equivalent TaO6 octahedra, corners with four CaO6 octahedra, edges with two equivalent CaO6 octahedra, edges with three equivalent TaO6 octahedra, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 47–76°. There are a spread of Ca–O bond distances ranging from 2.24–2.52 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with three equivalent CaO6 octahedra, corners with six equivalent TaO6 octahedra, edges with three equivalent CaO6 octahedra, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Ca–O bond distances ranging from 2.28–2.61 Å. Ta5+ is bonded to six O2- atoms to form distorted TaO6 octahedra that share corners with nine CaO6 octahedra, edges with three equivalent CaO6 octahedra, and a faceface with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Ta–O bond distances ranging from 1.89–2.20 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ca2+ and two equivalent Ta5+ atoms to form a mixture of distorted edge and corner-sharing OCa2Ta2 tetrahedra. In the second O2- site, O2- is bonded to two equivalent Ca2+ and two equivalent Ta5+ atoms to form a mixture of distorted edge and corner-sharing OCa2Ta2 trigonal pyramids. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ca2+ and one Ta5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Ta5+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to four Ca2+ and one Ta5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca4Ta2O9 by Materials Project

Ca3(CaTa2)O9 is Ilmenite-like structured and crystallizes in the trigonal P-3c1 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six equivalent O2- atoms to form distorted CaO6 octahedra that share corners with six equivalent TaO6 octahedra, corners with three equivalent CaO6 pentagonal pyramids, edges with three equivalent CaO6 octahedra, and a faceface with one CaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 41–57°. There are three shorter (2.35 Å) and three longer (2.49 Å) Ca–O bond lengths. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 pentagonal pyramids that share corners with three equivalent CaO6 octahedra, corners with three equivalent TaO6 octahedra, corners with three equivalent CaO6 pentagonal pyramids, edges with three equivalent TaO6 octahedra, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are three shorter (2.27 Å) and three longer (2.42 Å) Ca–O bond lengths. Ta5+ is bonded to six O2- atoms to form distorted TaO6 octahedra that share corners with six equivalent CaO6 octahedra, corners with three equivalent CaO6 pentagonal pyramids, edges with three equivalent CaO6 pentagonal pyramids, and a faceface with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are three shorter (1.93 Å) and three longer (2.13 Å) Ta–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ca2+ and two equivalent Ta5+ atoms to form a mixture of distorted corner and edge-sharing OCa2Ta2 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to three Ca2+ and one Ta5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cr3(TeO8)2 by Materials Project

Li4V3Cr3(TeO8)2 is Hausmannite-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 TeO6 octahedra, corners with four CrO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the second 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 1.83–1.98 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 1.82–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent TeO6 octahedra, corners with four VO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Li–O bond distances ranging from 1.99–2.10 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one TeO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of V–O bond distances ranging from 1.88–2.09 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one TeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of V–O bond distances ranging from 1.89–2.08 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one TeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of V–O bond distances ranging from 1.99–2.10 Å. There are three 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 TeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one TeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Cr–O bond distances ranging from 2.00–2.06 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 TeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one TeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.10 Å. In the third Cr+3.67+ site, Cr+3.67+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent TeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one TeO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Cr–O bond distances ranging from 1.99–2.09 Å. There are two inequivalent Te1+ sites. In the first Te1+ site, Te1+ is bonded to six O2- atoms to form distorted TeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four VO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Te–O bond distances ranging from 2.04–2.40 Å. In the second Te1+ site, Te1+ is bonded to six O2- atoms to form distorted TeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Te–O bond distances ranging from 2.06–2.36 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 V5+, one Cr+3.67+, and one Te1+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr+3.67+, and one Te1+ atom to form distorted corner-sharing OLiCr2Te tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Cr+3.67+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V5+, and two Cr+3.67+ atoms to form distorted corner-sharing OLiVCr2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two V5+, and one Cr+3.67+ atom to form distorted corner-sharing OLiV2Cr tetrahedra. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+3.67+, and one Te1+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Te1+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom to form distorted corner-sharing OLiVCrTe tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V5+, and one Cr+3.67+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Te1+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, one Cr+3.67+, and one Te1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe3Sb5O16 by Materials Project

Li4Fe3Sb5O16 is Hausmannite-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 five FeO6 octahedra and corners with seven SbO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the second 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 1.86–2.04 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 1.88–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO6 octahedra and corners with five SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of Li–O bond distances ranging from 2.02–2.21 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 SbO6 octahedra, corners with three LiO4 tetrahedra, and edges with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Fe–O bond distances ranging from 2.14–2.22 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with three SbO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.15–2.21 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with three SbO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.07–2.11 Å. There are five inequivalent Sb+3.80+ sites. In the first Sb+3.80+ site, Sb+3.80+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Sb–O bond distances ranging from 2.00–2.07 Å. In the second Sb+3.80+ site, Sb+3.80+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.75 Å. In the third Sb+3.80+ site, Sb+3.80+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sb–O bond distances ranging from 1.97–2.09 Å. In the fourth Sb+3.80+ site, Sb+3.80+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.06 Å. In the fifth Sb+3.80+ site, Sb+3.80+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Sb–O bond distances ranging from 2.08–2.60 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and three Sb+3.80+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, two Fe3+, and one Sb+3.80+ atom to form distorted OLiFe2Sb tetrahedra that share corners with two equivalent OLiFe2Sb tetrahedra and a cornercorner with one OLiFeSb2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the seventh O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+3.80+ atoms to form distorted corner-sharing OLiFeSb2 tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Sb+3.80+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Fe3+, and one Sb+3.80+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Fe3+, and one Sb+3.80+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Sb+3.80+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Fe3+, and one Sb+3.80+ atom to form distorted OLiFe2Sb tetrahedra that share corners with two equivalent OLiFe2Sb tetrahedra and a cornercorner with one OLiFeSb2 trigonal pyramid. In the sixteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+3.80+ atoms to form distorted corner-sharing OLiFeSb2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2Cr3Co3O16 by Materials Project

Li4Ti2Cr3Co3O16 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 TiO6 octahedra, corners with four CrO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.92–2.01 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 CoO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–O bond distances ranging from 1.80–1.96 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–66°. There are a spread of Li–O bond distances ranging from 1.80–1.94 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 CoO6 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 1.90–2.00 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four CoO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ti–O bond distances ranging from 1.89–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four CrO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. There are three inequivalent Cr+4.67+ sites. In the first Cr+4.67+ site, Cr+4.67+ 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 two equivalent CrO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cr–O bond distances ranging from 1.86–2.09 Å. In the second Cr+4.67+ site, Cr+4.67+ 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 two equivalent CrO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Cr–O bond distances ranging from 1.97–2.05 Å. In the third Cr+4.67+ site, Cr+4.67+ 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 CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Cr–O bond distances ranging from 1.87–2.08 Å. There are three inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.90–2.00 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 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 CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Co–O bond distances ranging from 1.91–2.00 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 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 CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Co–O bond distances ranging from 1.91–2.00 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 Ti4+, one Cr+4.67+, and one Co2+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+4.67+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+4.67+, and one Co2+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Cr+4.67+, and one Co2+ atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Cr+4.67+, and two Co2+ atoms to form OLiCrCo2 tetrahedra that share corners with six OLiTiCrCo tetrahedra and corners with three equivalent OLiCrCo2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom to form distorted OLiTiCrCo tetrahedra that share corners with three OLiCr2Co tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, and an edgeedge with one OLiTiCrCo tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom to form distorted OLiTiCrCo tetrahedra that share corners with three OLiCr2Co tetrahedra, a cornercorner with one OLiCrCo2 trigonal pyramid, and an edgeedge with one OLiTiCrCo tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+4.67+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Co2+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom to form distorted OLiTiCrCo tetrahedra that share corners with four OLiCrCo2 tetrahedra, edges with two OLiTiCo2 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom to form distorted OLiTiCrCo tetrahedra that share corners with four OLiCrCo2 tetrahedra, edges with two OLiTiCo2 tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+, one Cr+4.67+, and two Co2+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with five OLiCrCo2 tetrahedra and edges with three OLiTiCo2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Co2+ atoms to form distorted OLiTiCo2 tetrahedra that share corners with four OLiCrCo2 tetrahedra, edges with two OLiTiCrCo tetrahedra, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Co2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 63–65°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Li–O bond distances ranging from 1.94–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 59–65°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. There are three inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of V–O bond distances ranging from 1.95–2.14 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–57°. There are a spread of V–O bond distances ranging from 1.82–2.03 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–63°. There are a spread of V–O bond distances ranging from 1.79–2.18 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.43 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.47 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the second O2- site, O2- is bonded to three Li1+ and two equivalent V+3.67+ atoms to form OLi3V2 square pyramids that share corners with two equivalent OLi2V3 square pyramids, a cornercorner with one OLi2V2 tetrahedra, and edges with three OLi3V2 square pyramids. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the sixth O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 tetrahedra that share corners with three OLi3V2 square pyramids, corners with two equivalent OLi2V2 tetrahedra, and an edgeedge with one OLi2V3 square pyramid. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi3V2 square pyramids, corners with two equivalent OLi2V2 tetrahedra, edges with three OLi3V2 square pyramids, and an edgeedge with one OLi2V2 tetrahedra. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.67+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on ZnIn2O4 by Materials Project

ZnIn2O4 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Zn2+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Zn–O bond distances ranging from 1.87–1.97 Å. There are two inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing InO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of In–O bond distances ranging from 2.18–2.27 Å. In the second In3+ site, In3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing InO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of In–O bond distances ranging from 2.19–2.28 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to four In3+ atoms to form distorted OIn4 tetrahedra that share corners with seven OIn4 tetrahedra, corners with five equivalent OZnIn3 trigonal pyramids, edges with two equivalent OIn4 tetrahedra, and an edgeedge with one OZnIn3 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zn2+ and two equivalent In3+ atoms. In the third O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with seven OIn4 tetrahedra, a cornercorner with one OZnIn3 trigonal pyramid, and edges with two equivalent OZnIn3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 trigonal pyramids that share corners with six OIn4 tetrahedra, corners with two equivalent OZnIn3 trigonal pyramids, and edges with three OIn4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three LiO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–29°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–68°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Li–O bond distances ranging from 2.02–2.43 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–25°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–57°. There are a spread of Li–O bond distances ranging from 1.99–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 25–70°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–43°. There are a spread of V–O bond distances ranging from 1.81–2.10 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one VO6 octahedra, corners with two equivalent LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–68°. There are a spread of V–O bond distances ranging from 1.71–2.07 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of V–O bond distances ranging from 1.98–2.15 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of V–O bond distances ranging from 1.74–2.13 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three LiO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of V–O bond distances ranging from 1.75–2.16 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one VO6 octahedra, corners with two equivalent LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 42–70°. There are a spread of V–O bond distances ranging from 1.95–2.17 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.31–1.44 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two V+3.67+ atoms. In the second O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form distorted OLi2V3 square pyramids that share edges with two equivalent OLi2V3 square pyramids and edges with two equivalent OLiV2B trigonal pyramids. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to three V+3.67+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the ninth O2- site, O2- is bonded to four Li1+ and one V+3.67+ atom to form distorted OLi4V square pyramids that share corners with two equivalent OLi4V square pyramids, a cornercorner with one OLi3V trigonal pyramid, and edges with three OLi4V square pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.67+ atoms. In the eleventh O2- site, O2- is bonded to three Li1+ and one V+3.67+ atom to form distorted OLi3V trigonal pyramids that share a cornercorner with one OLi4V square pyramid and corners with two equivalent OLi3V trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Li1+ and one V+3.67+ atom to form a mixture of distorted edge and corner-sharing OLi4V square pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Li1+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two equivalent V+3.67+, and one B3+ atom to form distorted OLiV2B trigonal pyramids that share corners with two equivalent OLiV2B trigonal pyramids and edges with two equivalent OLi2V3 square pyramids. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one V+3.67+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two V+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3V3(BO5)2 by Materials Project

Li3V3(BO5)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 66–72°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–72°. There are a spread of Li–O bond distances ranging from 2.03–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, edges with two equivalent VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–68°. There are a spread of Li–O bond distances ranging from 2.01–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 15–58°. There are a spread of Li–O bond distances ranging from 2.03–2.32 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. There are six inequivalent V+3.67+ sites. In the first V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with three VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of V–O bond distances ranging from 1.81–2.09 Å. In the second V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 19–61°. There are a spread of V–O bond distances ranging from 1.79–2.17 Å. In the third V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO6 octahedra, edges with three VO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–57°. There are a spread of V–O bond distances ranging from 1.98–2.12 Å. In the fourth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent VO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of V–O bond distances ranging from 1.91–2.13 Å. In the fifth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of V–O bond distances ranging from 1.67–2.13 Å. In the sixth V+3.67+ site, V+3.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–63°. There are a spread of V–O bond distances ranging from 1.80–2.13 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.36 Å) and one longer (1.48 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.32–1.48 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.32–1.48 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 trigonal pyramids that share corners with three OLi3V2 square pyramids, a cornercorner with one OLi2V2 tetrahedra, corners with two equivalent OLi2V2 trigonal pyramids, and an edgeedge with one OLi2V3 square pyramid. In the second O2- site, O2- is bonded to one Li1+ and four V+3.67+ atoms to form OLiV4 square pyramids that share corners with two equivalent OLi3V2 square pyramids, a cornercorner with one OLi2V2 tetrahedra, corners with two equivalent OLiV3 trigonal pyramids, edges with three OLi3V2 square pyramids, and an edgeedge with one OLiV3 trigonal pyramid. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three V+3.67+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent V+3.67+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLi2V2 trigonal pyramids, edges with three OLi2V3 square pyramids, and edges with three OLi2V2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+ and three V+3.67+ atoms to form distorted OLiV3 trigonal pyramids that share corners with three OLiV4 square pyramids, corners with two equivalent OLiV3 trigonal pyramids, and an edgeedge with one OLiV4 square pyramid. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one V+3.67+ atom. In the twelfth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.67+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLi2V2 tetrahedra, corners with three OLiV3 trigonal pyramids, edges with three OLi2V3 square pyramids, and an edgeedge with one OLi2V2 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two equivalent V+3.67+, and one B3+ atom to form distorted OLiV2B trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLiV2B trigonal pyramids, and edges with two equivalent OLi2V3 square pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three V+3.67+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Li1+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+3.67+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to three Li1+ and two equivalent V+3.67+ atoms to form distorted OLi3V2 square pyramids that share corners with two equivalent OLiV4 square pyramids, a cornercorner with one OLi2V2 trigonal pyramid, and edges with three OLi3V2 square pyramids. In the twentieth O2- site, O2- is bonded to two Li1+ and two equivalent V+3.67+ atoms to form distorted OLi2V2 tetrahedra that share corners with three OLiV4 square pyramids, corners with two equivalent OLi2V2 tetrahedra, a cornercorner with one OLi2V2 trigonal pyramid, and an edgeedge with one OLi2V3 square pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3Mn3(NiO8)2 by Materials Project

Li4Ti3Mn3(NiO8)2 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 NiO6 octahedra, corners with four TiO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the second 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 1.79–1.96 Å. In the third 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 1.79–1.94 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NiO6 octahedra, corners with four MnO6 octahedra, and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. 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 NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Ti–O bond distances ranging from 1.95–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with four equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. There are two inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. There are two inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Ni–O bond distances ranging from 2.09–2.15 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent TiO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Ni–O bond distances ranging from 2.09–2.14 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Mn4+, and one Ni2+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni tetrahedra that share corners with four OLiTi2Mn tetrahedra, a cornercorner with one OLiTiMn2 trigonal pyramid, and edges with two equivalent OLiTiMnNi tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Mn4+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Mn4+ atom to form distorted corner-sharing OLiTi2Mn tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn4+ atoms to form distorted OLiTiMn2 tetrahedra that share corners with six OLiTiMnNi tetrahedra and corners with three equivalent OLiTiMn2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, one Ti4+, one Mn4+, and one Ni2+ atom to form distorted OLiTiMnNi tetrahedra that share corners with four OLiTi2Ni tetrahedra, a cornercorner with one OLiTiMn2 trigonal pyramid, and edges with two OLiTi2Ni tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Ti4+, and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Mn4+, and one Ni2+ atom. In the ninth O2- site, O2- is bonded to one Li1+, one Ti4+, one Mn4+, and one Ni2+ atom to form distorted OLiTiMnNi tetrahedra that share corners with four OLiTiMnNi tetrahedra, edges with two OLiTiMnNi tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn4+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with six OLiTi2Ni tetrahedra and edges with three OLiTiMnNi tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Mn4+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Mn4+, and one Ni2+ atom to form distorted OLiMn2Ni tetrahedra that share corners with four OLiTiMnNi tetrahedra, edges with two equivalent OLiTiMnNi tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li4Co2C4SO16 by Materials Project

Li4Co2C4SO16 crystallizes in the orthorhombic Fddd space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–79°. There are a spread of Li–O bond distances ranging from 2.17–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–79°. There are a spread of Li–O bond distances ranging from 2.15–2.44 Å. Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with four LiO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.05 Å. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.30 Å) C–O bond length. S6+ is bonded to four equivalent O2- atoms to form SO4 tetrahedra that share edges with four LiO6 octahedra. All S–O bond lengths are 1.49 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co3+, and one C4+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Co3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co3+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2Cr3Ni3O16 by Materials Project

Li4Ti2Cr3Ni3O16 is Hausmannite-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 TiO6 octahedra, corners with four CrO6 octahedra, and corners with five NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.93–2.01 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 NiO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Li–O bond distances ranging from 1.79–1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one NiO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–69°. There are a spread of Li–O bond distances ranging from 1.82–1.95 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 NiO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four NiO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four CrO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with two NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. There are three inequivalent Cr+4.67+ sites. In the first Cr+4.67+ site, Cr+4.67+ 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 two equivalent CrO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–O bond distances ranging from 1.84–2.08 Å. In the second Cr+4.67+ site, Cr+4.67+ 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 two equivalent CrO6 octahedra, edges with two equivalent NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–O bond distances ranging from 1.85–2.08 Å. In the third Cr+4.67+ site, Cr+4.67+ 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 NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Cr–O bond distances ranging from 1.87–2.02 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Ni–O bond distances ranging from 2.00–2.09 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 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 NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Ni–O bond distances ranging from 1.91–2.17 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 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 NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Ni–O bond distances ranging from 1.91–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom. In the second O2- site, O2- is bonded to one Li1+, one Ti4+, and two Cr+4.67+ atoms to form distorted OLiTiCr2 tetrahedra that share corners with four OLiCr2Ni tetrahedra and edges with two OLiTiCrNi tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr+4.67+, and one Ni2+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Cr+4.67+, and one Ni2+ atom to form corner-sharing OLiCr2Ni tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one Cr+4.67+, and two Ni2+ atoms to form corner-sharing OLiCrNi2 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom to form distorted OLiTiCrNi tetrahedra that share corners with four OLiTiCr2 tetrahedra and edges with two OLiTiCrNi tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom to form distorted OLiTiCrNi tetrahedra that share corners with four OLiTiCr2 tetrahedra and edges with two OLiTiCrNi tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Cr+4.67+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Ni2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr+4.67+, and two Ni2+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Ni2+ atoms to form distorted corner-sharing OLiTiNi2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one Cr+4.67+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LaMgI5 by Materials Project

MgLaI5 crystallizes in the monoclinic P2_1 space group. The structure is one-dimensional and consists of two MgLaI5 ribbons oriented in the (1, 0, 0) direction. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four I1- atoms to form MgI4 tetrahedra that share a cornercorner with one LaI6 octahedra and edges with two LaI6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Mg–I bond distances ranging from 2.74–2.86 Å. In the second Mg2+ site, Mg2+ is bonded to four I1- atoms to form MgI4 tetrahedra that share a cornercorner with one LaI6 octahedra and edges with two LaI6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Mg–I bond distances ranging from 2.73–2.83 Å. There are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to six I1- atoms to form distorted LaI6 octahedra that share corners with two equivalent LaI6 octahedra, a cornercorner with one MgI4 tetrahedra, and edges with two MgI4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of La–I bond distances ranging from 2.97–3.43 Å. In the second La3+ site, La3+ is bonded to six I1- atoms to form distorted LaI6 octahedra that share corners with two equivalent LaI6 octahedra, a cornercorner with one MgI4 tetrahedra, and edges with two MgI4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of La–I bond distances ranging from 2.97–3.44 Å. There are ten inequivalent I1- sites. In the first I1- site, I1- is bonded in a single-bond geometry to one La3+ atom. In the second I1- site, I1- is bonded in an L-shaped geometry to one Mg2+ and one La3+ atom. In the third I1- site, I1- is bonded in a distorted T-shaped geometry to one Mg2+ and two La3+ atoms. In the fourth I1- site, I1- is bonded in an L-shaped geometry to one Mg2+ and one La3+ atom. In the fifth I1- site, I1- is bonded in an L-shaped geometry to one Mg2+ and one La3+ atom. In the sixth I1- site, I1- is bonded in a water-like geometry to one Mg2+ and one La3+ atom. In the seventh I1- site, I1- is bonded in a water-like geometry to one Mg2+ and one La3+ atom. In the eighth I1- site, I1- is bonded in a distorted T-shaped geometry to one Mg2+ and two La3+ atoms. In the ninth I1- site, I1- is bonded in an L-shaped geometry to one Mg2+ and one La3+ atom. In the tenth I1- site, I1- is bonded in a single-bond geometry to one La3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2Mn3V3O16 by Materials Project

Li4Ti2V3Mn3O16 is Hausmannite-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 TiO6 octahedra, corners with four VO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.83–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, corners with three equivalent TiO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Li–O bond distances ranging from 1.81–2.01 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 MnO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 49–68°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four VO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one VO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. There are three inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of V–O bond distances ranging from 1.81–2.15 Å. In the second V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of V–O bond distances ranging from 1.82–2.13 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of V–O bond distances ranging from 1.82–2.10 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 TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with four VO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Mn–O bond distances ranging from 2.05–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Mn–O bond distances ranging from 1.95–2.30 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Mn–O bond distances ranging from 1.94–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom. In the second O2- site, O2- is bonded to one Li1+, one Ti4+, and two V+4.67+ atoms to form distorted OLiTiV2 tetrahedra that share corners with four OLiMnV2 tetrahedra and edges with two OLiTiMnV tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.67+, and one Mn2+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two V+4.67+, and one Mn2+ atom to form corner-sharing OLiMnV2 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, one V+4.67+, and two Mn2+ atoms to form corner-sharing OLiMn2V tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom to form distorted OLiTiMnV tetrahedra that share corners with four OLiTiV2 tetrahedra and edges with two OLiTiMnV tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom to form distorted OLiTiMnV tetrahedra that share corners with four OLiTiV2 tetrahedra and edges with two OLiTiMnV tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two V+4.67+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.67+, and two Mn2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn2+ atoms to form corner-sharing OLiTiMn2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, one V+4.67+, and one Mn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na4Cr2As(CO4)4 by Materials Project

Na4Cr2As(CO4)4 crystallizes in the orthorhombic Fddd space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four equivalent NaO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–87°. There are a spread of Na–O bond distances ranging from 2.39–2.54 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four equivalent NaO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–87°. There are a spread of Na–O bond distances ranging from 2.38–2.60 Å. Cr+3.50+ is bonded to six O2- atoms to form CrO6 octahedra that share edges with four NaO6 octahedra. There are four shorter (2.03 Å) and two longer (2.04 Å) Cr–O bond lengths. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.29 Å) and one longer (1.31 Å) C–O bond length. As5+ is bonded to four equivalent O2- atoms to form AsO4 tetrahedra that share edges with four NaO6 octahedra. All As–O bond lengths are 1.72 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one As5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Cr+3.50+, and one C4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Cr+3.50+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Cr+3.50+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li10Fe3Sb7O24 by Materials Project

Li10Fe3Sb7O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first 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 1.91–2.42 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are three shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.13 Å. In the fourth 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 1.88–2.20 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.69 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.47 Å. In the seventh 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 1.96–2.51 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with seven SbO6 octahedra. The corner-sharing octahedra tilt angles range from 44–72°. There are a spread of Li–O bond distances ranging from 1.98–2.40 Å. In the ninth 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 1.92–2.06 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 1.94–2.31 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four SbO6 octahedra and edges with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. There are a spread of Fe–O bond distances ranging from 1.96–2.32 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four SbO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 44–52°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent SbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Fe–O bond distances ranging from 2.11–2.29 Å. There are seven inequivalent Sb+4.14+ sites. In the first Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent SbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of Sb–O bond distances ranging from 1.98–2.10 Å. In the second Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent SbO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Sb–O bond distances ranging from 2.11–2.45 Å. In the third Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with four FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Sb–O bond distances ranging from 1.94–2.18 Å. In the fourth Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent SbO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 31–67°. There are a spread of Sb–O bond distances ranging from 1.95–2.23 Å. In the fifth Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 41–67°. There are a spread of Sb–O bond distances ranging from 2.12–2.60 Å. In the sixth Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of Sb–O bond distances ranging from 1.97–2.23 Å. In the seventh Sb+4.14+ site, Sb+4.14+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with two SbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Sb–O bond distances ranging from 1.96–2.11 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with two OLi2Sb2 tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, corners with two equivalent OLiFeSb2 trigonal pyramids, and an edgeedge with one OLi2FeSb2 trigonal bipyramid. In the second O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 trigonal pyramids that share corners with two OLi2FeSb tetrahedra, corners with two OLi2FeSb2 trigonal bipyramids, a cornercorner with one OLiFe2Sb trigonal pyramid, an edgeedge with one OLiFeSb2 tetrahedra, and an edgeedge with one OLi2FeSb2 trigonal bipyramid. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+4.14+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 tetrahedra that share a cornercorner with one OLi2FeSb tetrahedra, corners with two OLi2FeSb2 trigonal bipyramids, corners with four OLiFeSb2 trigonal pyramids, an edgeedge with one OLi2FeSb2 trigonal bipyramid, and an edgeedge with one OLiFeSb2 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLiFeSb2 trigonal pyramids that share a cornercorner with one OLiFeSb2 tetrahedra, corners with two OLi2FeSb2 trigonal bipyramids, corners with two equivalent OLiFeSb2 trigonal pyramids, and edges with two OLi2FeSb2 trigonal bipyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe3+, and two Sb+4.14+ atoms. In the seventh O2- site, O2- is bonded to two Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLi2FeSb2 trigonal bipyramids that share a cornercorner with one OLi2FeSb tetrahedra, corners with two OLiFeSb2 trigonal pyramids, and edges with two OLiFeSb2 trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+, one Fe3+, and two Sb+4.14+ atoms to form distorted OLi2FeSb2 trigonal bipyramids that share a cornercorner with one OLiFeSb2 tetrahedra, a cornercorner with one OLi2Fe2Sb trigonal bipyramid, corners with three OLiFeSb2 trigonal pyramids, an edgeedge with one OLiFeSb2 tetrahedra, an edgeedge with one OLi2Fe2Sb trigonal bipyramid, and edges with two OLiFeSb2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Li1+, two Fe3+, and one Sb+4.14+ atom to form distorted OLi2Fe2Sb trigonal bipyramids that share corners with two OLi2FeSb tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, a cornercorner with one OLiFeSb2 trigonal pyramid, an edgeedge with one OLi2FeSb tetrahedra, an edgeedge with one OLi2FeSb2 trigonal bipyramid, and edges with two OLiFeSb2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe3+, and two Sb+4.14+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe3+, and two Sb+4.14+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, two Fe3+, and one Sb+4.14+ atom to form distorted OLiFe2Sb trigonal pyramids that share corners with four OLi2FeSb tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, a cornercorner with one OLiFeSb2 trigonal pyramid, and edges with two OLi2FeSb2 trigonal bipyramids. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the fourteenth O2- site, O2- is bonded to two Li1+, one Fe3+, and one Sb+4.14+ atom to form distorted OLi2FeSb tetrahedra that share corners with three OLi2Sb2 tetrahedra, a cornercorner with one OLi2FeSb2 trigonal bipyramid, corners with two equivalent OLiFe2Sb trigonal pyramids, and an edgeedge with one OLi2Fe2Sb trigonal bipyramid. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Li1+, one Fe3+, and one Sb+4.14+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Sb+4.14+ atoms to form distorted OLi2Sb2 tetrahedra that share corners with three OLi2FeSb tetrahedra and a cornercorner with one OLiFeSb2 trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Fe3+, and one Sb+4.14+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the twentieth O2- site, O2- is bonded to two Li1+, one Fe3+, and one Sb+4.14+ atom to form distorted OLi2FeSb tetrahedra that share corners with five OLi2FeSb tetrahedra, a cornercorner with one OLi2Fe2Sb trigonal bipyramid, and corners with two OLiFeSb2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Sb+4.14+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+ and two Sb+4.14+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Sb+4.14+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Sb+4.14+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Co3(CuO8)2 by Materials Project

Li4Mn3Co3(CuO8)2 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 CuO6 octahedra, corners with four CoO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Li–O bond distances ranging from 1.93–1.99 Å. In the second 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 1.78–1.89 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 1.77–1.94 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent CuO6 octahedra, corners with four MnO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. There are two inequivalent Mn+5.33+ sites. In the first Mn+5.33+ site, Mn+5.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with four equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. In the second Mn+5.33+ site, Mn+5.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. There are two inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with four equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.90–1.92 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent MnO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Cu–O bond distances ranging from 2.05–2.13 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CoO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Cu–O bond distances ranging from 2.01–2.16 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn+5.33+, one Co+2.67+, and one Cu2+ atom. In the second O2- site, O2- is bonded to one Li1+, two equivalent Co+2.67+, and one Cu2+ atom to form distorted OLiCo2Cu tetrahedra that share corners with four OLiMnCo2 tetrahedra, a cornercorner with one OLiMn2Co trigonal pyramid, edges with two equivalent OLiMnCoCu tetrahedra, and an edgeedge with one OLiMnCo2 trigonal pyramid. In the third O2- site, O2- is bonded to one Li1+, one Mn+5.33+, and two equivalent Co+2.67+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with six OLiMnCoCu tetrahedra and edges with three OLiCo2Cu tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+5.33+, and two equivalent Co+2.67+ atoms to form distorted OLiMnCo2 tetrahedra that share corners with six OLiCo2Cu tetrahedra and corners with three equivalent OLiMnCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Mn+5.33+, and one Co+2.67+ atom to form distorted OLiMn2Co tetrahedra that share corners with six OLiMnCoCu tetrahedra and corners with three equivalent OLiMn2Co trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, one Mn+5.33+, one Co+2.67+, and one Cu2+ atom to form distorted OLiMnCoCu tetrahedra that share corners with four OLiCo2Cu tetrahedra, a cornercorner with one OLiMn2Co trigonal pyramid, edges with two OLiCo2Cu tetrahedra, and an edgeedge with one OLiMnCo2 trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Co+2.67+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two equivalent Mn+5.33+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded to one Li1+, one Mn+5.33+, one Co+2.67+, and one Cu2+ atom to form distorted OLiMnCoCu tetrahedra that share corners with four OLiMnCoCu tetrahedra, a cornercorner with one OLiMnCo2 trigonal pyramid, edges with two OLiMnCoCu tetrahedra, and an edgeedge with one OLiMn2Co trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Mn+5.33+, and one Co+2.67+ atom to form distorted OLiMn2Co trigonal pyramids that share corners with six OLiCo2Cu tetrahedra and edges with three OLiMnCoCu tetrahedra. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Mn+5.33+, one Co+2.67+, and one Cu2+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Mn+5.33+, and one Cu2+ atom to form distorted OLiMn2Cu tetrahedra that share corners with four OLiMnCoCu tetrahedra, a cornercorner with one OLiMnCo2 trigonal pyramid, edges with two equivalent OLiMnCoCu tetrahedra, and an edgeedge with one OLiMn2Co trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li4Co5Sb3O16 by Materials Project

Li4Co5Sb3O16 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 four SbO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.98–2.13 Å. In the second 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 1.77–2.12 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 1.80–1.95 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five SbO6 octahedra and corners with seven CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–65°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. There are four inequivalent Co+2.60+ sites. In the first Co+2.60+ site, Co+2.60+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent SbO6 octahedra, corners with four equivalent CoO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Co–O bond distances ranging from 2.04–2.33 Å. In the second Co+2.60+ site, Co+2.60+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with four equivalent SbO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 2.05–2.13 Å. In the third Co+2.60+ site, Co+2.60+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one SbO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Co–O bond distances ranging from 2.09–2.30 Å. In the fourth Co+2.60+ site, Co+2.60+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, and edges with three CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, edges with two equivalent SbO6 octahedra, and edges with three CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Sb–O bond distances ranging from 1.97–2.04 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with three LiO4 tetrahedra, and edges with five CoO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Sb–O bond distances ranging from 2.02–2.04 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co+2.60+, and one Sb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Co+2.60+, and two equivalent Sb5+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Co+2.60+, and two equivalent Sb5+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Co+2.60+, and two equivalent Sb5+ atoms to form distorted OLiCoSb2 trigonal pyramids that share corners with four equivalent OLiCo2Sb tetrahedra and a cornercorner with one OLiCo3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Co+2.60+, and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLiCo2Sb tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Co+2.60+, and one Sb5+ atom to form distorted OLiCo2Sb tetrahedra that share a cornercorner with one OLiCo2Sb tetrahedra, corners with three OLiCo3 trigonal pyramids, and an edgeedge with one OLiCo2Sb tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Co+2.60+, and two equivalent Sb5+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Co+2.60+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with four OLiCo3 tetrahedra, a cornercorner with one OLiCoSb2 trigonal pyramid, and an edgeedge with one OLiCo2Sb tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co+2.60+, and one Sb5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two equivalent Co+2.60+, and one Sb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Co+2.60+, and one Sb5+ atom. In the twelfth O2- site, O2- is bonded to one Li1+ and three Co+2.60+ atoms to form distorted OLiCo3 tetrahedra that share corners with two equivalent OLiCo2Sb tetrahedra and corners with two equivalent OLiCo3 trigonal pyramids.

36 MATERIALS SCIENCE↗