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Materials Data on Cr3(CuO6)2 by Materials Project

Cr3(CuO6)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 CuO6 octahedra. The corner-sharing octahedra tilt angles range from 23–45°. There are a spread of Cr–O bond distances ranging from 1.66–1.68 Å. In the second Cr6+ site, Cr6+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four CuO6 octahedra. The corner-sharing octahedra tilt angles range from 21–45°. 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 CuO6 octahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of Cr–O bond distances ranging from 1.66–1.68 Å. There are two inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six CrO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.05 Å. In the second Cu3+ site, Cu3+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six CrO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.95–2.00 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 Cu3+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr6+ and one Cu3+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr6+ and one Cu3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cr3(CuO6)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 Cr6Cd(CuO6)2 by Materials Project

Cr6Cd(CuO6)2 is Spinel-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are six inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent CuO4 tetrahedra, corners with three equivalent CdO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CdO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CdO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.06 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CdO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. In the fifth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CdO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. In the sixth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CdO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. There are three inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are two shorter (2.00 Å) and two longer (2.02 Å) Cu–O bond lengths. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are three shorter (2.04 Å) and one longer (2.07 Å) Cu–O bond lengths. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are two shorter (2.02 Å) and two longer (2.05 Å) Cu–O bond lengths. Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 59–64°. All Cd–O bond lengths are 2.14 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to three Cr3+ and one Cd2+ atom to form distorted OCr3Cd tetrahedra that share corners with three OCr3Cd tetrahedra, corners with three OCr3Cu trigonal pyramids, edges with two OCr3Cd tetrahedra, and an edgeedge with one OCr3Cu trigonal pyramid. In the second O2- site, O2- is bonded to three Cr3+ and one Cd2+ atom to form distorted OCr3Cd tetrahedra that share corners with three OCr3Cd tetrahedra, corners with three OCr3Cu trigonal pyramids, edges with two OCr3Cd tetrahedra, and an edgeedge with one OCr3Cu trigonal pyramid. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Cu2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Cu2+ atom. In the fifth O2- site, O2- is bonded to three Cr3+ and one Cu2+ atom to form distorted OCr3Cu trigonal pyramids that share corners with six OCr3Cd tetrahedra, corners with three OCr3Cu trigonal pyramids, and edges with three OCr3Cu trigonal pyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Cu2+ atom. In the seventh O2- site, O2- is bonded to three Cr3+ and one Cd2+ atom to form distorted OCr3Cd tetrahedra that share corners with three OCr3Cd tetrahedra, edges with two OCr3Cd tetrahedra, and an edgeedge with one OCr3Cu trigonal pyramid. In the eighth O2- site, O2- is bonded to three Cr3+ and one Cd2+ atom to form distorted OCr3Cd tetrahedra that share corners with three OCr3Cd tetrahedra, corners with six OCr3Cu trigonal pyramids, and an edgeedge with one OCr3Cd tetrahedra. In the ninth O2- site, O2- is bonded to three Cr3+ and one Cu2+ atom to form distorted OCr3Cu trigonal pyramids that share corners with four OCr3Cu trigonal pyramids and edges with three OCr3Cd tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Cr3+ and one Cu2+ atom. In the eleventh O2- site, O2- is bonded to three Cr3+ and one Cu2+ atom to form distorted OCr3Cu trigonal pyramids that share corners with six OCr3Cd tetrahedra, a cornercorner with one OCr3Cu trigonal pyramid, and edges with three OCr3Cu trigonal pyramids. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Cu2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cr6Cd(CuO6)2 by Materials Project

Cr6Cd(CuO6)2 is Spinel-derived structured and crystallizes in the tetragonal I-4 space group. The structure is three-dimensional. 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 three CuO4 tetrahedra, corners with three equivalent CdO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one CdO4 tetrahedra, corners with five CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.04 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CdO4 tetrahedra, corners with four CuO4 tetrahedra, and edges with six CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. There are three inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four equivalent O2- atoms to form CuO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. All Cu–O bond lengths are 2.01 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are two shorter (2.03 Å) and two longer (2.05 Å) Cu–O bond lengths. In the third Cu2+ site, Cu2+ is bonded to four equivalent O2- atoms to form CuO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. All Cu–O bond lengths are 2.06 Å. Cd2+ is bonded to four O2- atoms to form CdO4 tetrahedra that share corners with twelve CrO6 octahedra. The corner-sharing octahedra tilt angles range from 60–63°. All Cd–O bond lengths are 2.14 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Cr3+ and one Cd2+ atom to form distorted OCr3Cd tetrahedra that share corners with three OCr3Cd tetrahedra, corners with six OCr3Cu trigonal pyramids, and an edgeedge with one OCr3Cd tetrahedra. In the second O2- site, O2- is bonded to three equivalent Cr3+ and one Cd2+ atom to form distorted OCr3Cd tetrahedra that share corners with three OCr3Cd tetrahedra, corners with nine OCr3Cu trigonal pyramids, and edges with three equivalent OCr3Cd tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Cr3+ and one Cu2+ atom. In the fourth O2- site, O2- is bonded to three Cr3+ and one Cu2+ atom to form distorted OCr3Cu trigonal pyramids that share corners with seven OCr3Cd tetrahedra, a cornercorner with one OCr3Cu trigonal pyramid, and edges with three OCr3Cu trigonal pyramids. In the fifth O2- site, O2- is bonded to three Cr3+ and one Cu2+ atom to form distorted OCr3Cu trigonal pyramids that share corners with eight OCr3Cd tetrahedra, corners with three equivalent OCr3Cu trigonal pyramids, and edges with three OCr3Cu trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Cr3+ and one Cu2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CrCu(WO4)2 by Materials Project

CrCu(WO4)2 is zeta iron carbide-derived structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. W6+ is bonded to six O2- atoms to form distorted WO6 octahedra that share corners with four equivalent CrO6 octahedra, corners with four equivalent CuO6 octahedra, and edges with two equivalent WO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of W–O bond distances ranging from 1.85–2.16 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with eight equivalent WO6 octahedra and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with eight equivalent WO6 octahedra and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Cu–O bond distances ranging from 2.13–2.22 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one W6+, one Cr3+, and one Cu1+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent W6+ and one Cr3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one W6+, one Cr3+, and one Cu1+ atom. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to two equivalent W6+ and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg30CrCuO32 by Materials Project

Mg30CrCuO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.04–2.17 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.14 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mg–O bond distances ranging from 2.10–2.17 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are five shorter (2.13 Å) and one longer (2.14 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.12 Å) and four longer (2.14 Å) Mg–O bond lengths. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.01 Å) and four longer (2.08 Å) Cr–O bond lengths. Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.22 Å) and two longer (2.27 Å) Cu–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Cu1+ atom to form OMg5Cu octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form OMg5Cr octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.14 Å. In the fifth O2- site, O2- is bonded to five Mg2+ and one Cu1+ atom to form a mixture of corner and edge-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of O–Mg bond distances ranging from 2.04–2.12 Å. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighth O2- site, O2- is bonded to four equivalent Mg2+, one Cr3+, and one Cu1+ atom to form OMg4CrCu octahedra that share corners with six OMg4CrCu octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4CrCu octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.12 Å. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are three shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg30CrCuO32 by Materials Project

Mg30CrCuO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent CrO6 octahedra, corners with two equivalent CuO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.01–2.21 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.03 Å) and four longer (2.15 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.19 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mg–O bond distances ranging from 2.10–2.17 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are two shorter (2.12 Å) and four longer (2.14 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.11–2.15 Å. Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.06 Å) and two longer (2.07 Å) Cr–O bond lengths. Cu1+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.23 Å) and four longer (2.26 Å) Cu–O bond lengths. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Cu1+ atom to form OMg5Cu octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form a mixture of edge and corner-sharing OMg5Cr octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to five Mg2+ and one Cu1+ atom to form a mixture of edge and corner-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to five Mg2+ and one Cu1+ atom to form a mixture of edge and corner-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.10 Å) and two longer (2.12 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to five Mg2+ and one Cr3+ atom to form OMg5Cr octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. The O–Mg bond length is 2.16 Å. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are one shorter (2.11 Å) and two longer (2.15 Å) O–Mg bond lengths. In the twelfth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5Cr octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. Both O–Mg bond lengths are 2.12 Å.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cr3(CuO8)2 by Materials Project

Li4V3Cr3(CuO8)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 CuO6 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 1.96–2.00 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 1.83–1.94 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 1.77–1.97 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 VO6 octahedra, and corners with five CrO6 octahedra. The corner-sharing octahedra tilt angles range from 48–68°. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. There are three inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of V–O bond distances ranging from 1.75–2.29 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of V–O bond distances ranging from 1.80–2.08 Å. In the third V5+ site, V5+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 44–49°. There are a spread of V–O bond distances ranging from 1.74–2.33 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 CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent VO6 octahedra, and edges with two equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Cr–O bond distances ranging from 1.97–2.07 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 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 Cr–O bond distances ranging from 1.97–2.02 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Cr–O bond distances ranging from 1.98–2.05 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 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 44–58°. There are a spread of Cu–O bond distances ranging from 2.01–2.34 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 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 50–58°. There are a spread of Cu–O bond distances ranging from 1.94–2.46 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 V5+, one Cr3+, and one Cu2+ atom. In the second O2- site, O2- is bonded to one Li1+, two Cr3+, and one Cu2+ atom to form distorted OLiCr2Cu tetrahedra that share corners with two equivalent OLiVCr2 tetrahedra, a cornercorner with one OLiVCrCu trigonal pyramid, and an edgeedge with one OLiVCrCu trigonal pyramid. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one V5+, and two Cr3+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one V5+, and two Cr3+ atoms to form distorted OLiVCr2 tetrahedra that share corners with two equivalent OLiCr2Cu tetrahedra and corners with two equivalent OLiVCrCu trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two V5+, 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 V5+, one Cr3+, and one Cu2+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one V5+, one Cr3+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiVCrCu trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, one Cr3+, and one Cu2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Cr3+, and one Cu2+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V5+, and one Cu2+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one V5+, one Cr3+, and one Cu2+ atom to form distorted corner-sharing OLiVCrCu tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one V5+, one Cr3+, and one Cu2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two V5+, and one Cr3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr3+, and one Cu2+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two V5+, and one Cu2+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V5+, one Cr3+, and one Cu2+ atom.

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