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Materials Data on Cr3(FeO6)2 by Materials Project

Cr3(FeO6)2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are three inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There is one shorter (1.66 Å) and three longer (1.67 Å) Cr–O bond length. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 19–42°. There are a spread of Cr–O bond distances ranging from 1.66–1.68 Å. In the third Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 33–43°. There is one shorter (1.66 Å) and three longer (1.67 Å) Cr–O bond length. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six CrO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.06 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six CrO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.02 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cr3(FeO6)2 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li5Cr2Fe3O10 by Materials Project

Li5Cr2Fe3O10 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five 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, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two FeO6 octahedra, edges with three CrO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.11–2.30 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 FeO6 octahedra, corners with three CrO6 octahedra, edges with two equivalent CrO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Li–O bond distances ranging from 2.02–2.41 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, edges with two FeO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.11–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, corners with three CrO6 octahedra, edges with two equivalent CrO6 octahedra, edges with five LiO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Li–O bond distances ranging from 2.02–2.40 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two FeO6 octahedra, edges with three CrO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.11–2.30 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with four FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cr–O bond distances ranging from 1.98–2.15 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with four FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Cr–O bond distances ranging from 1.98–2.15 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 a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, edges with three CrO6 octahedra, edges with four FeO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five LiO6 octahedra, edges with three CrO6 octahedra, edges with four FeO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two CrO6 octahedra, corners with two FeO6 octahedra, edges with two CrO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Fe–O bond distances ranging from 2.01–2.09 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the second O2- site, O2- is bonded to four Li1+ and two Cr3+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the third O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the fourth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe3+ atoms to form OLi3CrFe2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the fifth O2- site, O2- is bonded to four Li1+, one Cr3+, and one Fe3+ atom to form OLi4CrFe octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the sixth O2- site, O2- is bonded to four Li1+, one Cr3+, and one Fe3+ atom to form OLi4CrFe octahedra that share corners with six OLi2CrFe3 octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the seventh O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe3+ atoms to form a mixture of edge and corner-sharing OLi3CrFe2 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the eighth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe3+ atoms to form OLi2CrFe3 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr3+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the tenth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi2CrFe3 octahedra. The corner-sharing octahedra tilt angles range from 0–16°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Cr2Fe5O12 by Materials Project

Li4Cr2Fe5O12 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four 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, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with three LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.02–2.27 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 CrO6 octahedra, corners with three FeO6 octahedra, edges with two LiO6 octahedra, edges with two CrO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Cr–O bond distances ranging from 2.00–2.10 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Cr–O bond distances ranging from 2.00–2.09 Å. There are five inequivalent Fe+2.80+ sites. In the first Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the second Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with two FeO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the third Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with three FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the fourth Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Fe–O bond distances ranging from 2.09–2.20 Å. In the fifth Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with three FeO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Fe–O bond distances ranging from 2.01–2.18 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi2CrFe2 square pyramids that share corners with three OLi3CrFe2 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with two OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–14°. In the second O2- site, O2- is bonded to one Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLiCrFe3 square pyramids that share corners with three OLi2CrFe3 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi2CrFe3 octahedra, and edges with two OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the third O2- site, O2- is bonded to two Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi2CrFe2 square pyramids that share corners with three OLi3CrFe2 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with two OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the fourth O2- site, O2- is bonded to one Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLiCrFe3 square pyramids that share corners with three OLi2CrFe3 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with two OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the fifth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi3CrFe2 octahedra that share corners with three OLi2CrFe3 octahedra, corners with three OLiCrFe3 square pyramids, edges with six OLi2CrFe3 octahedra, and edges with six OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the sixth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLi2CrFe3 octahedra that share corners with three OLi3CrFe2 octahedra, corners with three OLi2CrFe2 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with six OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the seventh O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi3CrFe2 octahedra that share corners with three OLi3CrFe2 octahedra, corners with three OLi2CrFe2 square pyramids, edges with seven OLi3CrFe2 octahedra, and edges with five OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi3CrFe2 octahedra that share corners with three OLi2CrFe3 octahedra, corners with three OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with six OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLi2CrFe3 octahedra that share corners with three OLi2CrFe3 octahedra, corners with three OLiCrFe3 square pyramids, edges with seven OLi3CrFe2 octahedra, and edges with five OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the tenth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLi2CrFe3 octahedra that share corners with three OLi3CrFe2 octahedra, corners with three OLi2CrFe2 square pyramids, edges with six OLi2CrFe3 octahedra, and edges with six OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLiCrFe3 square pyramids that share corners with three OLi3CrFe2 octahedra, corners with six OLi2CrFe2 square pyramids, edges with five OLi2CrFe3 octahedra, and edges with three OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the twelfth O2- site, O2- is bonded to two Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi2CrFe2 square pyramids that share corners with three OLi2CrFe3 octahedra, corners with six OLi2CrFe2 square pyramids, edges with five OLi3CrFe2 octahedra, and edges with three OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°.

36 MATERIALS SCIENCE↗

Materials Data on La3SmCr2(FeO6)2 by Materials Project

SmLa3Cr2(FeO6)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.75–2.77 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.78–2.80 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with four equivalent CrO6 octahedra, and faces with four equivalent FeO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.80 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Cr–O bond distances ranging from 1.95–1.97 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent FeO6 octahedra, faces with two equivalent SmO12 cuboctahedra, and faces with six LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.96–1.98 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent Fe3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, and two equivalent Cr3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Sm3+, two equivalent La3+, one Cr3+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four La3+, one Cr3+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Fe3+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two equivalent Cr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La5Sm3Cr6(FeO12)2 by Materials Project

Sm3La5Cr6(FeO12)2 is (Cubic) Perovskite-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are two inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six CrO6 octahedra. There are a spread of Sm–O bond distances ranging from 2.75–2.78 Å. In the second Sm3+ site, Sm3+ is bonded to twelve O2- atoms to form SmO12 cuboctahedra that share corners with twelve LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SmO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six CrO6 octahedra. There are seven shorter (2.75 Å) and five longer (2.76 Å) Sm–O bond lengths. There are four inequivalent La3+ sites. In the first La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight LaO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.79 Å. In the second La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SmO12 cuboctahedra, faces with two equivalent SmO12 cuboctahedra, faces with four equivalent LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.79 Å. In the third La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with eight equivalent SmO12 cuboctahedra, faces with six LaO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six CrO6 octahedra. There are a spread of La–O bond distances ranging from 2.77–2.79 Å. In the fourth La3+ site, La3+ is bonded to twelve O2- atoms to form LaO12 cuboctahedra that share corners with four equivalent SmO12 cuboctahedra, corners with eight equivalent LaO12 cuboctahedra, faces with two equivalent LaO12 cuboctahedra, faces with four equivalent SmO12 cuboctahedra, faces with two equivalent FeO6 octahedra, and faces with six CrO6 octahedra. There are eight shorter (2.77 Å) and four longer (2.79 Å) La–O bond lengths. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four CrO6 octahedra, faces with three SmO12 cuboctahedra, and faces with five LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Cr–O bond distances ranging from 1.95–1.97 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six CrO6 octahedra, faces with three SmO12 cuboctahedra, and faces with five LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Cr–O bond distances ranging from 1.95–1.97 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CrO6 octahedra, faces with three SmO12 cuboctahedra, and faces with five LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Fe–O bond distances ranging from 1.95–1.97 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Fe3+ atoms. In the second O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr3+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to four La3+ and two equivalent Cr3+ atoms. In the fourth O2- site, O2- is bonded in a distorted linear geometry to three Sm3+, one La3+, and two equivalent Fe3+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to three Sm3+, one La3+, and two equivalent Cr3+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to three Sm3+, one La3+, and two equivalent Cr3+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Sm3+, two La3+, one Cr3+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two Sm3+, two La3+, and two Cr3+ atoms. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, one Cr3+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Sm3+, three La3+, and two Cr3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4CrFe3Sn2(PO4)6 by Materials Project

Li4CrFe3Sn2(PO4)6 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 in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.45 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 four PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 1.94–2.10 Å. In the third 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 1.96–2.14 Å. In the fourth 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 1.93–2.25 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.06 Å. There are three inequivalent Fe+2.33+ sites. In the first Fe+2.33+ site, Fe+2.33+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.22 Å. In the second Fe+2.33+ site, Fe+2.33+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.06–2.50 Å. In the third Fe+2.33+ site, Fe+2.33+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.19 Å. There are two inequivalent Sn2+ sites. In the first Sn2+ site, Sn2+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Sn–O bond distances ranging from 2.19–2.36 Å. In the second Sn2+ site, Sn2+ is bonded in a 3-coordinate geometry to three O2- atoms. There are two shorter (2.23 Å) and one longer (2.25 Å) Sn–O bond lengths. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–51°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–50°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 20–45°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 23–51°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–51°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Fe+2.33+, one Sn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.33+, and one P5+ atom to form distorted corner-sharing OLi2FeP tetrahedra. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe+2.33+, one Sn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Fe+2.33+, one Sn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.33+, one Sn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.33+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe+2.33+, one Sn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.33+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to one Cr3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe+2.33+, one Sn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.33+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Fe+2.33+, and one P5+ atom to form distorted corner-sharing OLi2FeP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li10Cr3Fe3(NiO8)2 by Materials Project

Li10Cr3Fe3(NiO8)2 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 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.46 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with three equivalent NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 7–62°. All Li–O bond lengths are 1.86 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent LiO6 octahedra, corners with three equivalent NiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–62°. There is two shorter (1.86 Å) and two longer (1.87 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.44 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, edges with four FeO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.49 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.50 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with four CrO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the ninth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.46 Å. In the tenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.49 Å. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Cr–O bond distances ranging from 2.04–2.07 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Cr–O bond distances ranging from 2.04–2.06 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Cr–O bond distances ranging from 2.04–2.06 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 NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 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 CrO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two CrO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–52°. There are a spread of Ni–O bond distances ranging from 2.12–2.20 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–51°. There are a spread of Ni–O bond distances ranging from 2.12–2.20 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom. In the second O2- site, O2- is bonded to three Li1+, two Cr3+, and one Ni2+ atom to form OLi3Cr2Ni octahedra that share edges with four OLi3CrFeNi octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the third O2- site, O2- is bonded to three Li1+, two Cr3+, and one Fe3+ atom to form distorted edge-sharing OLi3Cr2Fe pentagonal pyramids. In the fourth O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Cr2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Cr3+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, and two Fe3+ atoms. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom. In the eighth O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Cr2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the ninth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Cr3+, and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Ni2+ atom. In the eleventh O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Fe2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the twelfth O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Fe2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the thirteenth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe3+ atoms to form distorted edge-sharing OLi3CrFe2 pentagonal pyramids. In the fourteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Ni2+ atom to form OLi3Fe2Ni octahedra that share edges with four OLi3CrFeNi octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li10Cr3Fe3(NiO8)2 by Materials Project

Li10Cr3Fe3(NiO8)2 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 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.44 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with three equivalent NiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 8–61°. There is three shorter (1.85 Å) and one longer (1.86 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent LiO6 octahedra, corners with three equivalent NiO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–62°. There is two shorter (1.85 Å) and two longer (1.86 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.41 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, edges with four FeO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.47 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.48 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, edges with four CrO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the ninth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.43 Å. In the tenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.47 Å. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Cr–O bond distances ranging from 2.04–2.06 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Cr–O bond distances ranging from 2.03–2.06 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are two shorter (2.04 Å) and four longer (2.05 Å) Cr–O bond lengths. 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 NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Fe–O bond distances ranging from 2.03–2.09 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 CrO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four FeO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two CrO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–51°. There are a spread of Ni–O bond distances ranging from 2.12–2.18 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–51°. There are a spread of Ni–O bond distances ranging from 2.12–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom. In the second O2- site, O2- is bonded to three Li1+, two Cr3+, and one Ni2+ atom to form OLi3Cr2Ni octahedra that share edges with four OLi3CrFeNi octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the third O2- site, O2- is bonded to three Li1+, two Cr3+, and one Fe3+ atom to form distorted edge-sharing OLi3Cr2Fe pentagonal pyramids. In the fourth O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Cr2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Cr3+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, and two Fe3+ atoms. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom. In the eighth O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Cr2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the ninth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Cr3+, and one Ni2+ atom. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, two Fe3+, and one Ni2+ atom. In the eleventh O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Fe2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the twelfth O2- site, O2- is bonded to three Li1+, one Cr3+, one Fe3+, and one Ni2+ atom to form OLi3CrFeNi octahedra that share edges with four OLi3Fe2Ni octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the thirteenth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe3+ atoms to form distorted edge-sharing OLi3CrFe2 pentagonal pyramids. In the fourteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Ni2+ atom to form OLi3Fe2Ni octahedra that share edges with four OLi3CrFeNi octahedra and edges with two OLi3Cr2Fe pentagonal pyramids. In the sixteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+, one Cr3+, one Fe3+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cr3(FeO8)2 by Materials Project

Li4V3Cr3(FeO8)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four CrO6 octahedra, and corners with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one CrO6 octahedra, corners with two VO6 octahedra, corners with three equivalent FeO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Li–O bond distances ranging from 1.79–1.97 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 1.79–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent FeO6 octahedra, corners with four VO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.94–2.02 Å. There are three inequivalent V+4.33+ sites. In the first V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.90–2.00 Å. In the second V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with four CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of V–O bond distances ranging from 1.88–1.96 Å. In the third V+4.33+ site, V+4.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of V–O bond distances ranging from 1.88–2.07 Å. There are three inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent CrO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Cr–O bond distances ranging from 1.99–2.06 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent 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 50–55°. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent VO6 octahedra, corners with four CrO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three equivalent LiO4 trigonal pyramids, an edgeedge with one CrO6 octahedra, and edges with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Fe–O bond distances ranging from 1.96–2.17 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 V+4.33+, one Cr3+, and one Fe3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr3+, and one Fe3+ atom to form distorted OLiCr2Fe tetrahedra that share corners with two equivalent OLiVCr2 tetrahedra, corners with two OLiVCrFe trigonal pyramids, and edges with two OLiVCrFe trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, and two Cr3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V+4.33+, and two Cr3+ atoms to form distorted OLiVCr2 tetrahedra that share corners with two equivalent OLiCr2Fe tetrahedra and corners with four OLiVCrFe trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two V+4.33+, and one Cr3+ 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 V+4.33+, one Cr3+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe trigonal pyramids that share corners with three OLiCr2Fe tetrahedra, a cornercorner with one OLiVCrFe trigonal pyramid, an edgeedge with one OLiCr2Fe tetrahedra, and an edgeedge with one OLiVCrFe trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe trigonal pyramids that share corners with three OLiCr2Fe tetrahedra, a cornercorner with one OLiVCrFe trigonal pyramid, an edgeedge with one OLiCr2Fe tetrahedra, and an edgeedge with one OLiVCrFe trigonal pyramid. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr3+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe tetrahedra that share corners with three OLiV2Cr tetrahedra and an edgeedge with one OLiVCrFe tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom to form distorted OLiVCrFe tetrahedra that share corners with three OLiV2Cr tetrahedra and an edgeedge with one OLiVCrFe tetrahedra. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V+4.33+, and one Cr3+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V+4.33+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+4.33+, one Cr3+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4CrFe2Ni3(PO4)6 by Materials Project

Li4CrFe2Ni3(PO4)6 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 in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.50 Å. In the second 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 2.09–2.70 Å. In the third 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 2.10–2.72 Å. In the fourth 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 2.10–2.72 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–2.06 Å. There are two inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one CrO6 octahedra, and a faceface with one NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.06–2.26 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra and faces with two NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.17 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 six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.97–2.11 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.18 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.00–2.16 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–53°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–55°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 33–53°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–53°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two FeO6 octahedra, and corners with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–50°. There is two shorter (1.51 Å) and two longer (1.60 Å) P–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe+2.50+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Fe+2.50+, one Ni2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Fe+2.50+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Fe+2.50+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe+2.50+, one Ni2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Fe+2.50+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni2+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4CrFe3Cu2(PO4)6 by Materials Project

Li4CrFe3Cu2(PO4)6 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 in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.10–2.37 Å. In the second 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 2.13–2.52 Å. In the third 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 2.10–2.56 Å. In the fourth 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 2.13–2.55 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.97–2.06 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 six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.12 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 2.12–2.46 Å. In the second Cu1+ site, Cu1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cu–O bond distances ranging from 2.13–2.44 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 30–43°. All P–O bond lengths are 1.55 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 30–43°. All P–O bond lengths are 1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 31–43°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–44°. There is two shorter (1.52 Å) and two longer (1.58 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 20–44°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 20–43°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Cu1+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Cu1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Cu1+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Fe3+, one Cu1+, and one P5+ atom to form distorted face-sharing OLi2FeCuP trigonal bipyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe3+, one Cu1+, and one P5+ atom to form distorted face-sharing OLi2FeCuP trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Cu1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Fe3+, one Cu1+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, one Cr3+, one Cu1+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom.

36 MATERIALS SCIENCE↗