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At least 667 records · Page 37

Materials Data on Nb(NiP4)4 by Materials Project

Nb(NiP4)4 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Nb2+ is bonded in a 8-coordinate geometry to eight P+0.50- atoms. There are a spread of Nb–P bond distances ranging from 2.53–2.59 Å. There are two inequivalent Ni+1.50+ sites. In the first Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with six NiP6 octahedra, corners with ten PNbNiP2 tetrahedra, and an edgeedge with one NiP6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are a spread of Ni–P bond distances ranging from 2.23–2.39 Å. In the second Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with four equivalent NiP6 octahedra and corners with nine PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Ni–P bond distances ranging from 2.27–2.33 Å. There are eight inequivalent P+0.50- sites. In the first P+0.50- site, P+0.50- is bonded to one Nb2+, one Ni+1.50+, and two P+0.50- atoms to form distorted PNbNiP2 tetrahedra that share corners with three NiP6 octahedra, corners with nine PNbNiP2 tetrahedra, and an edgeedge with one PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 67–74°. There are one shorter (2.24 Å) and one longer (2.25 Å) P–P bond lengths. In the second P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with eleven PNbNiP2 tetrahedra. The corner-sharing octahedral tilt angles are 71°. The P–P bond length is 2.25 Å. In the third P+0.50- site, P+0.50- is bonded to three Ni+1.50+ and one P+0.50- atom to form distorted PNi3P tetrahedra that share corners with two equivalent NiP6 octahedra, corners with thirteen PNbNiP2 tetrahedra, and an edgeedge with one PNi3P tetrahedra. The corner-sharing octahedra tilt angles range from 73–76°. The P–P bond length is 2.21 Å. In the fourth P+0.50- site, P+0.50- is bonded to two equivalent Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra and corners with twelve PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 70–83°. The P–P bond length is 2.25 Å. In the fifth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one Nb2+, one Ni+1.50+, and two P+0.50- atoms. The P–P bond length is 2.25 Å. In the sixth P+0.50- site, P+0.50- is bonded to one Nb2+ and three P+0.50- atoms to form distorted PNbP3 tetrahedra that share corners with six NiP6 octahedra and corners with eight PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 58–76°. The P–P bond length is 2.25 Å. In the seventh P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with eleven PNbNiP2 tetrahedra. The corner-sharing octahedral tilt angles are 71°. The P–P bond length is 2.24 Å. In the eighth P+0.50- site, P+0.50- is bonded to one Nb2+, one Ni+1.50+, and two P+0.50- atoms to form distorted PNbNiP2 tetrahedra that share corners with three NiP6 octahedra, corners with nine PNbNiP2 tetrahedra, and an edgeedge with one PNbNiP2 tetrahedra. The corner-sharing octahedra tilt angles range from 66–75°.

36 MATERIALS SCIENCE↗

Materials Data on Ni4P16W by Materials Project

WNi4P16 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. W2+ is bonded in a 8-coordinate geometry to eight P+0.50- atoms. There are a spread of W–P bond distances ranging from 2.48–2.53 Å. There are two inequivalent Ni+1.50+ sites. In the first Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with six NiP6 octahedra, corners with eight PNi3P tetrahedra, and an edgeedge with one NiP6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Ni–P bond distances ranging from 2.22–2.37 Å. In the second Ni+1.50+ site, Ni+1.50+ is bonded to six P+0.50- atoms to form NiP6 octahedra that share corners with four equivalent NiP6 octahedra and corners with five PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Ni–P bond distances ranging from 2.25–2.34 Å. There are eight inequivalent P+0.50- sites. In the first P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with nine PNi3P tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are one shorter (2.24 Å) and one longer (2.25 Å) P–P bond lengths. In the second P+0.50- site, P+0.50- is bonded to three Ni+1.50+ and one P+0.50- atom to form distorted PNi3P tetrahedra that share corners with two equivalent NiP6 octahedra, corners with eleven PNi2P2 tetrahedra, and an edgeedge with one PNi3P tetrahedra. The corner-sharing octahedra tilt angles range from 73–76°. The P–P bond length is 2.21 Å. In the third P+0.50- site, P+0.50- is bonded to two equivalent Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share corners with three NiP6 octahedra and corners with twelve PNi2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 70–83°. The P–P bond length is 2.27 Å. In the fourth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one W2+, one Ni+1.50+, and two P+0.50- atoms. There are one shorter (2.25 Å) and one longer (2.26 Å) P–P bond lengths. In the fifth P+0.50- site, P+0.50- is bonded to one W2+ and three P+0.50- atoms to form distorted PP3W tetrahedra that share corners with six NiP6 octahedra and corners with two PNi3P tetrahedra. The corner-sharing octahedra tilt angles range from 58–76°. The P–P bond length is 2.26 Å. In the sixth P+0.50- site, P+0.50- is bonded to two Ni+1.50+ and two P+0.50- atoms to form distorted PNi2P2 tetrahedra that share a cornercorner with one NiP6 octahedra and corners with nine PNi2P2 tetrahedra. The corner-sharing octahedral tilt angles are 72°. The P–P bond length is 2.24 Å. In the seventh P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one W2+, one Ni+1.50+, and two P+0.50- atoms. In the eighth P+0.50- site, P+0.50- is bonded in a 4-coordinate geometry to one W2+, one Ni+1.50+, and two P+0.50- atoms.

36 MATERIALS SCIENCE↗

Materials Data on BeAl2O4 by Materials Project

BeAl2O4 is Spinel-like structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Be2+ is bonded to four O2- atoms to form BeO4 tetrahedra that share corners with six AlO6 octahedra and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Be–O bond distances ranging from 1.58–1.70 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with eight AlO6 octahedra, corners with four equivalent BeO4 tetrahedra, edges with two equivalent AlO6 octahedra, and an edgeedge with one BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Al–O bond distances ranging from 1.88–2.03 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four equivalent AlO6 octahedra, corners with two equivalent BeO4 tetrahedra, edges with four AlO6 octahedra, and edges with two equivalent BeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Al–O bond distances ranging from 1.89–1.93 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms. In the second O2- site, O2- is bonded to one Be2+ and three Al3+ atoms to form distorted corner-sharing OBeAl3 tetrahedra. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cr3(PO4)4 by Materials Project

Li3Cr3(PO4)4 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two 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 1.93–2.61 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are two shorter (2.01 Å) and two longer (2.24 Å) Li–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 CrO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Cr–O bond distances ranging from 1.99–2.09 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four equivalent CrO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Cr–O bond distances ranging from 1.96–2.04 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CrO6 octahedra and an edgeedge with one CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Cr3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe3(PO4)4 by Materials Project

Fe3(PO4)4 crystallizes in the triclinic P-1 space group. The structure is two-dimensional and consists of one Fe3(PO4)4 sheet oriented in the (0, 1, 0) direction. there are four inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Fe–O bond distances ranging from 1.93–2.11 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Fe–O bond distances ranging from 1.96–2.15 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with four FeO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Fe–O bond distances ranging from 1.93–2.11 Å. There are four inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 36–52°. There is two shorter (1.52 Å) and two longer (1.60 Å) P–O bond length. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There is three shorter (1.54 Å) and one longer (1.55 Å) P–O bond length. There are sixteen inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the third O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom. In the fourth O site, O is bonded in a single-bond geometry to one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom. In the seventh O site, O is bonded in a bent 120 degrees geometry to one Fe and one P atom. In the eighth O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom. In the ninth O site, O is bonded in a bent 120 degrees geometry to one Fe and one P atom. In the tenth O site, O is bonded in a bent 120 degrees geometry to one Fe and one P atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom. In the twelfth O site, O is bonded in a bent 120 degrees geometry to one Fe and one P atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to two Fe and one P atom. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba2SnO4 by Materials Project

Ba2SnO4 is (La,Ba)CuO4 structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Ba2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ba–O bond distances ranging from 2.67–2.99 Å. Sn4+ is bonded to six O2- atoms to form corner-sharing SnO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.09 Å) and four longer (2.11 Å) Sn–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four equivalent Ba2+ and two equivalent Sn4+ atoms to form a mixture of distorted edge, face, and corner-sharing OBa4Sn2 octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the second O2- site, O2- is bonded to five equivalent Ba2+ and one Sn4+ atom to form distorted OBa5Sn octahedra that share corners with seventeen OBa4Sn2 octahedra, edges with eight equivalent OBa5Sn octahedra, and faces with four equivalent OBa4Sn2 octahedra. The corner-sharing octahedra tilt angles range from 0–57°.

36 MATERIALS SCIENCE↗

Materials Data on Mn2CuO4 by Materials Project

CuMn2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are three shorter (2.03 Å) and one longer (2.04 Å) Mn–O bond lengths. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.03 Å. In the third Mn3+ site, Mn3+ is bonded to four O2- atoms to form MnO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are three shorter (2.04 Å) and one longer (2.05 Å) Mn–O bond lengths. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two CuO6 octahedra, and edges with four equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.26 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with five CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.07 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six CuO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.22 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with four CuO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.23 Å. There are six inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Cu–O bond distances ranging from 1.98–2.04 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Cu–O bond distances ranging from 1.98–2.03 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.24 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Cu–O bond distances ranging from 1.98–2.05 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent MnO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.03–2.20 Å. In the sixth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Cu–O bond distances ranging from 1.98–2.03 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mn3+ and two Cu2+ atoms. In the fifth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mn3+ and two Cu2+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the tenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with two OMn3Cu trigonal pyramids and edges with three OMn4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with two equivalent OMn3Cu tetrahedra, a cornercorner with one OMn4 trigonal pyramid, and edges with two equivalent OMn3Cu tetrahedra. In the twelfth O2- site, O2- is bonded to four Mn3+ atoms to form a mixture of distorted edge and corner-sharing OMn4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the fifteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with two equivalent OMn3Cu trigonal pyramids and edges with three OMn4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Mn3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu tetrahedra. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn3+ and one Cu2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Zn(FeO2)2 by Materials Project

ZnFe2O4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three equivalent ZnO6 octahedra and corners with nine equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is three shorter (1.94 Å) and one longer (1.99 Å) Fe–O bond length. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.11 Å. There are two inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three equivalent ZnO6 octahedra and corners with nine equivalent FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are three shorter (1.99 Å) and one longer (2.02 Å) Zn–O bond lengths. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three equivalent FeO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, and edges with six equivalent FeO6 octahedra. There are three shorter (2.11 Å) and three longer (2.13 Å) Zn–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Fe3+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Fe3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Fe3+ and two Zn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ce2Y2O7 by Materials Project

Ce2Y2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.24–2.45 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.53 Å. In the third Ce4+ site, Ce4+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, corners with two YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Ce–O bond distances ranging from 2.25–2.46 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.70 Å. In the fifth Ce4+ site, Ce4+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.41 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.45 Å. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.25–2.57 Å. In the eighth Ce4+ site, Ce4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ce–O bond distances ranging from 2.20–2.35 Å. There are eight inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 pentagonal bipyramids that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, and an edgeedge with one CeO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of Y–O bond distances ranging from 2.30–2.53 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, a cornercorner with one YO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are a spread of Y–O bond distances ranging from 2.25–2.34 Å. In the third Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 hexagonal pyramids that share corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Y–O bond distances ranging from 2.26–2.41 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO7 hexagonal pyramids, a cornercorner with one YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, a cornercorner with one YO7 pentagonal bipyramid, and an edgeedge with one YO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Y–O bond distances ranging from 2.24–2.34 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one YO7 hexagonal pyramid, corners with two YO6 octahedra, a cornercorner with one CeO7 pentagonal bipyramid, and edges with two YO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Y–O bond distances ranging from 2.24–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one YO6 octahedra, edges with two YO7 hexagonal pyramids, an edgeedge with one YO6 octahedra, an edgeedge with one CeO7 pentagonal bipyramid, and an edgeedge with one YO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Y–O bond distances ranging from 2.26–2.43 Å. In the seventh Y3+ site, Y3+ is bonded to seven O2- atoms to form distorted YO7 hexagonal pyramids that share a cornercorner with one YO6 octahedra, a cornercorner with one YO7 pentagonal bipyramid, an edgeedge with one YO7 hexagonal pyramid, an edgeedge with one YO6 octahedra, and an edgeedge with one CeO7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Y–O bond distances ranging from 2.29–2.49 Å. In the eighth Y3+ site, Y3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Y–O bond distances ranging from 2.28–2.48 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OCe2Y2 tetrahedra. In the second O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the third O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the fourth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form OCeY3 tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with four OCeY3 tetrahedra. In the fifth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with five OCeY3 tetrahedra. In the sixth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the seventh O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the eighth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the ninth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OCeY3 tetrahedra. In the tenth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with twelve OCe2Y2 tetrahedra and edges with six OCe3Y tetrahedra. In the eleventh O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twelfth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Ce4+ and three Y3+ atoms to form a mixture of edge and corner-sharing OCeY3 tetrahedra. In the fourteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the fifteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the sixteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form OCe3Y tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the seventeenth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OCe2Y2 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the nineteenth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twentieth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the twenty-first O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with fourteen OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the twenty-second O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with twelve OCe2Y2 tetrahedra and edges with six OCe3Y tetrahedra. In the twenty-third O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form a mixture of edge and corner-sharing OCe2Y2 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Ce4+ and one Y3+ atom to form a mixture of edge and corner-sharing OCe3Y tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form OCe2Y2 tetrahedra that share corners with thirteen OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the twenty-seventh O2- site, O2- is bonded to two Ce4+ and two Y3+ atoms to form distorted OCe2Y2 tetrahedra that share corners with twelve OCe2Y2 tetrahedra and edges with five OCe3Y tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Ce4+ and two Y3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7SbO6 by Materials Project

Li7SbO6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent SbO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–61°. There are a spread of Li–O bond distances ranging from 1.88–2.10 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent SbO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 16–60°. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with ten LiO4 tetrahedra, edges with three equivalent SbO6 octahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.13–2.40 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 2.06–2.63 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 11–57°. There are a spread of Li–O bond distances ranging from 1.85–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent SbO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–57°. There are a spread of Li–O bond distances ranging from 1.90–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent SbO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one SbO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–62°. There are a spread of Li–O bond distances ranging from 1.90–2.03 Å. Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with ten LiO4 tetrahedra, edges with three equivalent LiO6 octahedra, and edges with five LiO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.01–2.06 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Sb5+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Sb5+ atom. In the third O2- site, O2- is bonded to five Li1+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLi5Sb pentagonal pyramids. In the fourth O2- site, O2- is bonded to six Li1+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLi6Sb pentagonal bipyramids. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Sb5+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7RuO6 by Materials Project

Li7RuO6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent RuO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one RuO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–60°. There are a spread of Li–O bond distances ranging from 1.90–2.01 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 2.05–2.60 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent RuO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one RuO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–57°. There are a spread of Li–O bond distances ranging from 1.90–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent RuO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one RuO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–57°. There are a spread of Li–O bond distances ranging from 1.89–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with ten LiO4 tetrahedra, edges with three equivalent RuO6 octahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.08–2.46 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent RuO6 octahedra, corners with three equivalent LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one RuO6 octahedra, and edges with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 10–56°. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent RuO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one RuO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–62°. There are a spread of Li–O bond distances ranging from 1.87–2.01 Å. Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with ten LiO4 tetrahedra, edges with three equivalent LiO6 octahedra, and edges with five LiO4 tetrahedra. There are a spread of Ru–O bond distances ranging from 1.98–2.07 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Ru5+ atom to form a mixture of distorted edge and corner-sharing OLi5Ru pentagonal pyramids. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ru5+ atom. In the third O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Ru5+ atom. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ru5+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Ru5+ atom. In the sixth O2- site, O2- is bonded to six Li1+ and one Ru5+ atom to form a mixture of distorted edge and corner-sharing OLi6Ru pentagonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Bi3F17 by Materials Project

Ba4Bi3F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.66–3.32 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.67–3.04 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.67–3.14 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.66–3.25 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.68–3.19 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.68–3.28 Å. In the seventh Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten F1- atoms. There are a spread of Ba–F bond distances ranging from 2.68–3.04 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.68–3.17 Å. There are six inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Bi–F bond distances ranging from 2.33–2.46 Å. In the second Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Bi–F bond distances ranging from 2.33–2.44 Å. In the third Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Bi–F bond distances ranging from 2.34–2.45 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Bi–F bond distances ranging from 2.33–2.64 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 9-coordinate geometry to nine F1- atoms. There are a spread of Bi–F bond distances ranging from 2.32–2.68 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Bi–F bond distances ranging from 2.31–2.49 Å. There are thirty-four inequivalent F1- sites. In the first F1- site, F1- is bonded to six Ba2+ atoms to form a mixture of distorted face and corner-sharing FBa6 octahedra. In the second F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form FBa3Bi tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa3Bi tetrahedra, and edges with five FBa3Bi tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. In the third F1- site, F1- is bonded to four Ba2+ atoms to form FBa4 tetrahedra that share corners with twelve FBa2Bi2 tetrahedra, edges with six FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the fourth F1- site, F1- is bonded to two Ba2+ and two Bi3+ atoms to form FBa2Bi2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Bi tetrahedra, and edges with four FBa2Bi2 tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the fifth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form FBa3Bi tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa3Bi tetrahedra, and edges with five FBa3Bi tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. In the sixth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with eleven FBa3Bi tetrahedra, edges with five FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the seventh F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form FBa3Bi tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa3Bi tetrahedra, and edges with five FBa3Bi tetrahedra. The corner-sharing octahedra tilt angles range from 52–60°. In the eighth F1- site, F1- is bonded to two Ba2+ and two Bi3+ atoms to form distorted FBa2Bi2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Bi tetrahedra, and edges with four FBa2Bi2 tetrahedra. The corner-sharing octahedral tilt angles are 59°. In the ninth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with eleven FBa3Bi tetrahedra, edges with five FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the tenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the eleventh F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Bi3+ atoms. In the twelfth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the thirteenth F1- site, F1- is bonded to two Ba2+ and two Bi3+ atoms to form distorted FBa2Bi2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Bi tetrahedra, and edges with four FBa3Bi tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the fourteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the fifteenth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with eleven FBa3Bi tetrahedra, edges with five FBa2Bi2 tetrahedra, and a faceface with one FBa6 octahedra. In the sixteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Bi3+ atoms. In the seventeenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the eighteenth F1- site, F1- is bonded in a bent 120 degrees geometry to two Bi3+ atoms. In the nineteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the twentieth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to two Ba2+ and two Bi3+ atoms. In the twenty-first F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with eleven FBa2Bi2 tetrahedra, edges with five FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the twenty-second F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Ba2+ and two Bi3+ atoms. In the twenty-third F1- site, F1- is bonded to two Ba2+ and two Bi3+ atoms to form FBa2Bi2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Bi tetrahedra, and edges with four FBa3Bi tetrahedra. The corner-sharing octahedral tilt angles are 59°. In the twenty-fourth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the twenty-fifth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the twenty-sixth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+ and two Bi3+ atoms. In the twenty-seventh F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with eleven FBa3Bi tetrahedra, edges with five FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the twenty-eighth F1- site, F1- is bonded to two Ba2+ and two Bi3+ atoms to form distorted FBa2Bi2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Bi tetrahedra, and edges with four FBa3Bi tetrahedra. The corner-sharing octahedral tilt angles are 57°. In the twenty-ninth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form FBa3Bi tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa3Bi tetrahedra, and edges with five FBa2Bi2 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. In the thirtieth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with eleven FBa3Bi tetrahedra, edges with five FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the thirty-first F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form FBa3Bi tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa4 tetrahedra, and edges with five FBa3Bi tetrahedra. The corner-sharing octahedra tilt angles range from 51–61°. In the thirty-second F1- site, F1- is bonded to two Ba2+ and two Bi3+ atoms to form FBa2Bi2 tetrahedra that share a cornercorner with one FBa6 octahedra, corners with ten FBa3Bi tetrahedra, and edges with four FBa3Bi tetrahedra. The corner-sharing octahedral tilt angles are 58°. In the thirty-third F1- site, F1- is bonded to four Ba2+ atoms to form FBa4 tetrahedra that share corners with twelve FBa3Bi tetrahedra, edges with six FBa3Bi tetrahedra, and a faceface with one FBa6 octahedra. In the thirty-fourth F1- site, F1- is bonded to three Ba2+ and one Bi3+ atom to form distorted FBa3Bi tetrahedra that share corners with two equivalent FBa6 octahedra, corners with eleven FBa3Bi tetrahedra, and edges with five FBa2Bi2 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°.

36 MATERIALS SCIENCE↗

Materials Data on Co2CuO4 by Materials Project

CuCo2O4 is Spinel-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are two inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There is three shorter (1.94 Å) and one longer (1.99 Å) Co–O bond length. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–1.99 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There is three shorter (1.95 Å) and one longer (2.00 Å) Cu–O bond length. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent CuO4 tetrahedra, and edges with six equivalent CoO6 octahedra. There are three shorter (2.02 Å) and three longer (2.03 Å) Cu–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Co3+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OCo3Cu trigonal pyramids. In the second O2- site, O2- is bonded to four Co3+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the third O2- site, O2- is bonded to three equivalent Co3+ and one Cu2+ atom to form distorted corner-sharing OCo3Cu trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Co3+ and two Cu2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Re5(NiAs6)2 by Materials Project

Ni2Re5As12 crystallizes in the orthorhombic Pnnm space group. The structure is three-dimensional. there are three inequivalent Re+3.20+ sites. In the first Re+3.20+ site, Re+3.20+ is bonded to six As+1.67- atoms to form ReAs6 octahedra that share corners with two equivalent ReAs6 octahedra, corners with five equivalent NiAs6 octahedra, a cornercorner with one AsRe3As tetrahedra, and edges with four ReAs6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Re–As bond distances ranging from 2.50–2.57 Å. In the second Re+3.20+ site, Re+3.20+ is bonded to six As+1.67- atoms to form ReAs6 octahedra that share corners with two equivalent ReAs6 octahedra, corners with four equivalent NiAs6 octahedra, a cornercorner with one AsReNi2As tetrahedra, edges with four ReAs6 octahedra, and a faceface with one NiAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Re–As bond distances ranging from 2.48–2.58 Å. In the third Re+3.20+ site, Re+3.20+ is bonded to six As+1.67- atoms to form ReAs6 octahedra that share corners with eight ReAs6 octahedra, corners with four equivalent AsReNi2As tetrahedra, and edges with two equivalent ReAs6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are two shorter (2.47 Å) and four longer (2.53 Å) Re–As bond lengths. Ni2+ is bonded to six As+1.67- atoms to form NiAs6 octahedra that share corners with nine ReAs6 octahedra, corners with two equivalent AsRe3As tetrahedra, edges with two equivalent NiAs6 octahedra, and a faceface with one ReAs6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of Ni–As bond distances ranging from 2.33–2.48 Å. There are six inequivalent As+1.67- sites. In the first As+1.67- site, As+1.67- is bonded to one Re+3.20+, two equivalent Ni2+, and one As+1.67- atom to form distorted AsReNi2As tetrahedra that share corners with three ReAs6 octahedra and corners with two equivalent AsReNi2As tetrahedra. The corner-sharing octahedral tilt angles are 72°. The As–As bond length is 2.60 Å. In the second As+1.67- site, As+1.67- is bonded to three Re+3.20+ and one As+1.67- atom to form distorted AsRe3As tetrahedra that share a cornercorner with one ReAs6 octahedra, corners with two equivalent NiAs6 octahedra, corners with four equivalent AsRe3As tetrahedra, and an edgeedge with one AsRe3As tetrahedra. The corner-sharing octahedra tilt angles range from 69–75°. In the third As+1.67- site, As+1.67- is bonded in a 5-coordinate geometry to two equivalent Re+3.20+, two equivalent Ni2+, and one As+1.67- atom. The As–As bond length is 2.57 Å. In the fourth As+1.67- site, As+1.67- is bonded in a 4-coordinate geometry to three Re+3.20+ and one Ni2+ atom. In the fifth As+1.67- site, As+1.67- is bonded in a 4-coordinate geometry to three Re+3.20+ and one As+1.67- atom. In the sixth As+1.67- site, As+1.67- is bonded in a 5-coordinate geometry to three Re+3.20+, one Ni2+, and one As+1.67- atom. The As–As bond length is 2.60 Å.

36 MATERIALS SCIENCE↗

Materials Data on Gd2O3 by Materials Project

Gd2O3 is Corundum-like structured and crystallizes in the cubic I2_13 space group. The structure is three-dimensional. there are three inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing GdO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. All Gd–O bond lengths are 2.34 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.30–2.40 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing GdO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.30–2.40 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Gd3+ atoms to form a mixture of distorted corner and edge-sharing OGd4 trigonal pyramids. In the second O2- site, O2- is bonded to four Gd3+ atoms to form a mixture of distorted corner and edge-sharing OGd4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TaO2 by Materials Project

TaO2 is beta Vanadium nitride-like structured and crystallizes in the tetragonal I4_1/a space group. The structure is three-dimensional. there are two inequivalent Ta4+ sites. In the first Ta4+ site, Ta4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 32–57°. There are a spread of Ta–O bond distances ranging from 1.97–2.18 Å. In the second Ta4+ site, Ta4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 32–57°. There are a spread of Ta–O bond distances ranging from 1.97–2.15 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ta4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgAl2O4 by Materials Project

MgAl2O4 is Spinel-like structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are twelve inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.93 Å) and one longer (2.01 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.01 Å) and three longer (2.10 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.93 Å) and one longer (1.97 Å) Mg–O bond length. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with six AlO6 octahedra. There are three shorter (2.03 Å) and three longer (2.08 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–60°. There is one shorter (1.94 Å) and three longer (1.95 Å) Mg–O bond length. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. All Mg–O bond lengths are 1.96 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There is three shorter (1.98 Å) and one longer (1.99 Å) Mg–O bond length. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is one shorter (1.95 Å) and three longer (1.96 Å) Mg–O bond length. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is three shorter (1.96 Å) and one longer (1.97 Å) Mg–O bond length. In the tenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedral tilt angles are 59°. All Mg–O bond lengths are 1.96 Å. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There is three shorter (1.96 Å) and one longer (1.98 Å) Mg–O bond length. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There is three shorter (1.96 Å) and one longer (2.01 Å) Mg–O bond length. There are twelve inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.04 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–2.07 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There is three shorter (1.84 Å) and one longer (1.85 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. All Al–O bond lengths are 1.93 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is two shorter (1.93 Å) and four longer (1.94 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. All Al–O bond lengths are 1.94 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.93 Å) and three longer (1.94 Å) Al–O bond length. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.95 Å) Al–O bond length. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.92–1.99 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.92 Å) and three longer (1.94 Å) Al–O bond length. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There is three shorter (1.83 Å) and one longer (1.86 Å) Al–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three equivalent Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three equivalent Al3+ atoms to form corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on MgAl6O10 by Materials Project

MgAl6O10 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.93 Å) and one longer (2.03 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There is three shorter (1.94 Å) and one longer (2.03 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Mg–O bond distances ranging from 1.92–1.97 Å. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There is one shorter (1.93 Å) and three longer (1.96 Å) Mg–O bond length. There are nineteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–58°. There is three shorter (1.78 Å) and one longer (1.80 Å) Al–O bond length. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Al–O bond distances ranging from 1.78–1.86 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.84–2.05 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.05 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.00 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.73–1.88 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.11 Å. In the tenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–61°. There is one shorter (1.78 Å) and three longer (1.87 Å) Al–O bond length. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.99 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–60°. There are a spread of Al–O bond distances ranging from 1.76–1.87 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.88 Å) and three longer (1.97 Å) Al–O bond length. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.98 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.98 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.87 Å) and three longer (1.98 Å) Al–O bond length. In the nineteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Al–O bond distances ranging from 1.75–1.89 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fifth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded to four Al3+ atoms to form distorted edge-sharing OAl4 tetrahedra. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twentieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with three OMgAl3 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, edges with two OMgAl3 tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 tetrahedra that share corners with three OMgAl3 tetrahedra, corners with two equivalent OMgAl3 trigonal pyramids, edges with two equivalent OMgAl3 tetrahedra, and an edgeedge with one OAl4 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the thirtieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted OMgAl3 trigonal pyramids that share corners with six OMgAl3 tetrahedra and corners with three equivalent OAl4 trigonal pyramids.

36 MATERIALS SCIENCE↗