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Materials Data on TiFeO3 by Materials Project

FeTiO3 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three FeO6 octahedra, corners with six TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 33–64°. There are a spread of Ti–O bond distances ranging from 1.82–2.31 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with seven TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–63°. There are a spread of Ti–O bond distances ranging from 1.82–2.23 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with eight FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three FeO6 octahedra, corners with six TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 33–64°. There are a spread of Ti–O bond distances ranging from 1.80–2.32 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–63°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–62°. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Ti–O bond distances ranging from 1.87–2.15 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Ti–O bond distances ranging from 1.87–2.18 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with nine FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with six FeO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent FeO6 octahedra, and a faceface with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–64°. There are a spread of Ti–O bond distances ranging from 1.84–2.29 Å. There are sixteen inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with seven FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Fe–O bond distances ranging from 2.06–2.21 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three TiO6 octahedra, corners with six FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Fe–O bond distances ranging from 2.04–2.23 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three TiO6 octahedra, corners with six FeO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Fe–O bond distances ranging from 2.04–2.21 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of Fe–O bond distances ranging from 2.08–2.18 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with six TiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Fe–O bond distances ranging from 2.04–2.29 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–63°. There are a spread of Fe–O bond distances ranging from 2.05–2.25 Å. In the seventh Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–62°. There are a spread of Fe–O bond distances ranging from 2.06–2.26 Å. In the eighth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Fe–O bond distances ranging from 2.08–2.26 Å. In the ninth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the tenth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Fe–O bond distances ranging from 2.08–2.18 Å. In the eleventh Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the twelfth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Fe–O bond distances ranging from 2.06–2.25 Å. In the thirteenth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the fourteenth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with eight TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–65°. There are a spread of Fe–O bond distances ranging from 1.99–2.26 Å. In the fifteenth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with nine TiO6 octahedra, edges with three FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–62°. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. In the sixteenth Fe2+ site, Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with six TiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent FeO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Fe–O bond distances ranging from 2.09–2.31 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe2+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Ti4+ and two Fe2+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-

36 MATERIALS SCIENCE↗

Materials Data on Fe8O9 by Materials Project

Fe8O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Fe–O bond distances ranging from 2.17–2.25 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Fe–O bond distances ranging from 2.00–2.13 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 2.15–2.26 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Fe–O bond distances ranging from 2.00–2.12 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.13–2.30 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.12–2.23 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.12–2.26 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the ninth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Fe–O bond distances ranging from 2.15–2.29 Å. In the tenth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.08–2.23 Å. In the eleventh Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the twelfth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the thirteenth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Fe–O bond distances ranging from 2.15–2.29 Å. In the fourteenth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Fe–O bond distances ranging from 2.07–2.28 Å. In the fifteenth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Fe–O bond distances ranging from 2.16–2.26 Å. In the sixteenth Fe+2.25+ site, Fe+2.25+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 2.10–2.25 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, corners with seven OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–7°. In the second O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with three OFe6 octahedra, and edges with five OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the third O2- site, O2- is bonded to six Fe+2.25+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with two OFe6 octahedra, and edges with ten OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. In the fourth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with nine OFe5 square pyramids, edges with four OFe6 octahedra, and edges with four OFe5 square pyramids. In the fifth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with nine OFe5 square pyramids, edges with four OFe6 octahedra, and edges with four OFe5 square pyramids. In the sixth O2- site, O2- is bonded to six Fe+2.25+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with two OFe6 octahedra, and edges with ten OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the seventh O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with three OFe6 octahedra, and edges with five OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–4°. In the eighth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with nine OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. In the ninth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, corners with seven OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedral tilt angles are 7°. In the tenth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–9°. In the eleventh O2- site, O2- is bonded to six Fe+2.25+ atoms to form OFe6 octahedra that share a cornercorner with one OFe6 octahedra, corners with five OFe5 square pyramids, edges with three OFe6 octahedra, and edges with nine OFe5 square pyramids. The corner-sharing octahedral tilt angles are 5°. In the twelfth O2- site, O2- is bonded to six Fe+2.25+ atoms to form OFe6 octahedra that share corners with two equivalent OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–9°. In the thirteenth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with four OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. In the fourteenth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with four OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the fifteenth O2- site, O2- is bonded to six Fe+2.25+ atoms to form OFe6 octahedra that share corners with two equivalent OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–7°. In the sixteenth O2- site, O2- is bonded to six Fe+2.25+ atoms to form OFe6 octahedra that share a cornercorner with one OFe6 octahedra, corners with five OFe5 square pyramids, edges with three OFe6 octahedra, and edges with nine OFe5 square pyramids. The corner-sharing octahedral tilt angles are 2°. In the seventeenth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–9°. In the eighteenth O2- site, O2- is bonded to five Fe+2.25+ atoms to form OFe5 square pyramids that share corners with nine OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li15(NiO2)14 by Materials Project

Li15(NiO2)14 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.80–2.07 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to one Ni+2.93+ and four O2- atoms. The Li–Ni bond length is 2.19 Å. There are a spread of Li–O bond distances ranging from 1.79–1.95 Å. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.46 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.13–2.17 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the fourteenth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.74–2.02 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.39 Å. There are fourteen inequivalent Ni+2.93+ sites. In the first Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form distorted edge-sharing NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.96–2.11 Å. In the second Ni+2.93+ site, Ni+2.93+ is bonded in a 6-coordinate geometry to one Li1+ and six O2- atoms. There are a spread of Ni–O bond distances ranging from 1.96–2.16 Å. In the third Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Ni–O bond distances ranging from 1.88–2.06 Å. In the fourth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 1.87–2.05 Å. In the fifth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ni–O bond distances ranging from 1.88–2.05 Å. In the sixth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ni–O bond distances ranging from 1.89–2.05 Å. In the seventh Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There is two shorter (1.91 Å) and four longer (2.05 Å) Ni–O bond length. In the eighth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There is two shorter (1.90 Å) and four longer (2.05 Å) Ni–O bond length. In the ninth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There is two shorter (1.91 Å) and four longer (2.05 Å) Ni–O bond length. In the tenth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There is two shorter (1.90 Å) and four longer (2.05 Å) Ni–O bond length. In the eleventh Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Ni–O bond distances ranging from 1.90–2.05 Å. In the twelfth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ni–O bond distances ranging from 1.89–2.05 Å. In the thirteenth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Ni–O bond distances ranging from 1.90–2.05 Å. In the fourteenth Ni+2.93+ site, Ni+2.93+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share a cornercorner with one LiO6 octahedra and edges with six NiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ni–O bond distances ranging from 1.88–2.10 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.93+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.93+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+ and three Ni+2.93+ atoms. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 3°. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.93+ atoms. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventeenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the nineteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twentieth O2- site, O2- is bonded to three Li1+ and three Ni+2.93+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corn

36 MATERIALS SCIENCE↗

Materials Data on Li2MnCrO4 by Materials Project

Li2CrMnO4 is Caswellsilverite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.40 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five MnO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CrO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.10–2.34 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CrO6 octahedra, edges with two CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.08–2.38 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four MnO6 octahedra, edges with two MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.02–2.34 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.13–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.10–2.37 Å. There are six inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Cr–O bond distances ranging from 2.03–2.05 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Cr–O bond distances ranging from 2.02–2.06 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Cr–O bond distances ranging from 2.02–2.05 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.97–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.97–2.18 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Mn–O bond distances ranging from 1.96–2.24 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.98–2.23 Å. In the sixth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.98–2.22 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form OLi3Mn2Cr octahedra that share corners with six OLi3Mn2Cr octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form OLi3MnCr2 octahedra that share corners with six OLi3Cr3 octahedra and edges with twelve OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form OLi3Mn2Cr octahedra that share corners with six OLi3Cr3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifth O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form OLi3MnCr2 octahedra that share corners with six OLi3MnCr2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form OLi3Mn2Cr octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form OLi3Mn2Cr octahedra that share corners with six OLi3MnCr2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form OLi3Mn2Cr octahedra that share corners with six OLi3MnCr2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O2- site, O2- is bonded to three Li1+ and three Cr4+ atoms to form OLi3Cr3 octahedra that share corners with six OLi3Cr3 octahedra and edges with twelve OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form a mixture of corner and edge-sharing OLi3MnCr2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form OLi3MnCr2 octahedra that share corners with six OLi3Mn2Cr octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form OLi3MnCr2 octahedra that share corners with six OLi3MnCr2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form a mixture of corner and edge-sharing OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Mn2+ atoms to form OLi3Mn2Cr octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifteenth O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form OLi3MnCr2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Cr octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixteenth O2- site, O2- is bonded to three Li1+, two Cr4+, and one Mn2+ atom to form OLi3MnCr2 octahedra that share corners with six OLi3Cr3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form TiN3O3 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Ti–N bond distances ranging from 1.95–1.99 Å. There are a spread of Ti–O bond distances ranging from 2.07–2.13 Å. In the second Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 pentagonal pyramids that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Ti–N bond distances ranging from 1.94–2.03 Å. There are a spread of Ti–O bond distances ranging from 2.04–2.15 Å. In the third Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN5O octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are one shorter (1.97 Å) and two longer (2.03 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 2.02–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN5O octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.11 Å) and one longer (2.16 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Ti–N bond distances ranging from 1.94–2.04 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.15 Å. In the sixth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 2.00–2.10 Å. The Ti–O bond length is 2.13 Å. In the seventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–N bond distances ranging from 1.99–2.06 Å. There are two shorter (2.03 Å) and one longer (2.08 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. There are one shorter (2.08 Å) and one longer (2.15 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. The Ti–O bond length is 2.12 Å. In the tenth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.10 Å. In the eleventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. There are one shorter (2.11 Å) and one longer (2.15 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. The Ti–O bond length is 2.17 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. There are one shorter (2.05 Å) and one longer (2.08 Å) Ti–O bond lengths. In the fourteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–N bond distances ranging from 2.00–2.06 Å. The Ti–O bond length is 2.12 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Ti–N bond distances ranging from 1.98–2.09 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing TiN6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Ti–N bond distances ranging from 2.05–2.10 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with six NTi4 trigonal

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. There are one shorter (2.18 Å) and one longer (2.27 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.23 Å) and one longer (2.26 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.19 Å. There are one shorter (2.23 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.24 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Hf–N bond distances ranging from 2.13–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.09–2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.15 Å) and one longer (2.17 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.14 Å. There are two shorter (2.19 Å) and one longer (2.30 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.24 Å. In the tenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.25 Å. The Hf–O bond length is 2.31 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.18 Å) and one longer (2.34 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.20 Å. There are one shorter (2.16 Å) and one longer (2.18 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. The Hf–O bond length is 2.28 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. There are one shorter (2.20 Å) and one longer (2.24 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges wi

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.13 Å. There are one shorter (2.19 Å) and two longer (2.23 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are one shorter (2.11 Å) and one longer (2.14 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.09–2.20 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.22 Å. There are one shorter (2.13 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN5O octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.30 Å. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.29 Å. Both Hf–O bond lengths are 2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.33 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.15 Å) and one longer (2.20 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.27 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are two shorter (2.11 Å) and one longer (2.19 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.13–2.20 Å. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.27 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.24 Å. There are one shorter (2.21 Å) and one longer (2.24 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.24 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.31 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.17 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.20 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bond

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.25 Å) and one longer (2.26 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are one shorter (2.28 Å) and one longer (2.33 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are one shorter (2.12 Å) and two longer (2.19 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. There are one shorter (2.11 Å) and one longer (2.24 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.22 Å. In the sixth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.12 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.27 Å. In the seventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. All Hf–N bond lengths are 2.10 Å. There are a spread of Hf–O bond distances ranging from 2.21–2.24 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are one shorter (2.24 Å) and one longer (2.26 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.20 Å. There are two shorter (2.14 Å) and one longer (2.19 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.22 Å. The Hf–O bond length is 2.33 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.21 Å) and one longer (2.29 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. The Hf–O bond length is 2.21 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.29 Å. The Hf–O bond length is 2.20 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.14 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.25 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.27 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to fo

36 MATERIALS SCIENCE↗

Materials Data on Li47(NiO4)8 by Materials Project

Li47(NiO4)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are forty-seven inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.10 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.11 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four NiO4 tetrahedra, corners with nine LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with five LiO4 tetrahedra. There are one shorter (2.02 Å) and three longer (2.03 Å) Li–O bond lengths. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four NiO4 tetrahedra, corners with eight LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the tenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the eleventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.01–2.06 Å. In the twelfth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the thirteenth Li site, Li is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.99–2.12 Å. In the fourteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. In the fifteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the sixteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the seventeenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four NiO4 tetrahedra, corners with ten LiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are three shorter (2.01 Å) and one longer (2.03 Å) Li–O bond lengths. In the eighteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four NiO4 tetrahedra, corners with ten LiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are one shorter (2.01 Å) and three longer (2.02 Å) Li–O bond lengths. In the nineteenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the twentieth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the twenty-first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with nine LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the twenty-second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the twenty-third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the twenty-fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the twenty-fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.14 Å. In the twenty-sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.10 Å. In the twenty-seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with nine LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the twenty-eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with nine LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the twenty-ninth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the thirtieth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the thirty-first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four NiO4 tetrahedra, corners with nine LiO4 tetrahedra, and edges with five LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the thirty-second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with four NiO4 tetrahedra, corners with nine LiO4 tetrahedra, edges with four LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the thirty-third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the thirty-fourth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with ten LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with three LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.14 Å. In the thirty-fifth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the thirty-sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and edges with four LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.00–2.07 Å. In the thirty-seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with eleven LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the thirty-eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with twelve LiO4 tetrahedra

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn7V12O48 by Materials Project

Li9V12Mn7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.96–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–71°. There are a spread of Li–O bond distances ranging from 2.04–2.27 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–71°. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–68°. There are a spread of V–O bond distances ranging from 1.73–1.80 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–65°. There are a spread of V–O bond distances ranging from 1.65–1.83 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–64°. There are a spread of V–O bond distances ranging from 1.64–1.83 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–63°. There are a spread of V–O bond distances ranging from 1.72–1.77 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of V–O bond distances ranging from 1.68–1.79 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–64°. There is three shorter (1.74 Å) and one longer (1.87 Å) V–O bond length. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three MnO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–59°. There are a spread of V–O bond distances ranging from 1.68–1.81 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–58°. There are a spread of V–O bond distances ranging from 1.68–1.85 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of V–O bond distances ranging from 1.65–1.81 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent MnO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–59°. There are a spread of V–O bond distances ranging from 1.69–1.78 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent MnO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of V–O bond distances ranging from 1.68–1.78 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 31–67°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. There are seven inequivalent Mn+3.86+ sites. In the first Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with two LiO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the second Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the third Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.95 Å. In the fourth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. In the fifth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 1.88–2.09 Å. In the sixth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 1.88–2.08 Å. In the seventh Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mn–O bond distances ranging from 1.87–1.97 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the nineteen

36 MATERIALS SCIENCE↗

Materials Data on Mg(AgO2)2 by Materials Project

Mg(AgO2)2 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are two shorter (2.03 Å) and two longer (2.08 Å) Mg–O bond lengths. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AgO4 tetrahedra, and edges with six AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Mg–O bond distances ranging from 2.06–2.09 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four equivalent AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.14 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.16 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. There are twelve inequivalent Ag3+ sites. In the first Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.10–2.25 Å. In the second Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.10–2.21 Å. In the third Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Ag–O bond distances ranging from 2.18–2.24 Å. In the fourth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AgO4 tetrahedra, edges with three MgO6 octahedra, and edges with three AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.06–2.26 Å. In the fifth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are one shorter (2.10 Å) and three longer (2.20 Å) Ag–O bond lengths. In the sixth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Ag–O bond distances ranging from 2.17–2.20 Å. In the seventh Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two equivalent AgO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.07–2.15 Å. In the eighth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ag–O bond distances ranging from 2.13–2.18 Å. In the ninth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AgO4 tetrahedra, edges with three MgO6 octahedra, and edges with three AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.05–2.20 Å. In the tenth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are two shorter (2.18 Å) and two longer (2.19 Å) Ag–O bond lengths. In the eleventh Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.12–2.25 Å. In the twelfth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are one shorter (2.13 Å) and three longer (2.21 Å) Ag–O bond lengths. 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 Ag3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Ag3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ag3+ atoms. In the fourth O2- site, O2- is bonded to four Ag3+ atoms to form a mixture of distorted edge and corner-sharing OAg4 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ag3+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share a cornercorner with one OMgAg3 tetrahedra, corners with two OMgAg3 trigonal pyramids, edges with two OMgAg3 tetrahedra, and an edgeedge with one OAg4 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share corners with six OMg2Ag2 tetrahedra and corners with six OMgAg3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share corners with two equivalent OMgAg3 tetrahedra, a cornercorner with one OAg4 trigonal pyramid, edges with two equivalent OMgAg3 tetrahedra, and an edgeedge with one OAg4 trigonal pyramid. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Ag3+ atoms. In the tenth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with seven OMg2Ag2 tetrahedra, corners with five OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMgAg3 tetrahedra, corners with two OMgAg3 trigonal pyramids, edges with two equivalent OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with five OMgAg3 tetrahedra, corners with three OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, edges with two equivalent OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with five OMgAg3 tetrahedra, a cornercorner with one OAg4 trigonal pyramid, edges with two equivalent OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with seven OMg2Ag2 tetrahedra, corners with five OMgAg3 trigonal pyramids, edges with two equivalent OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, edges with two equivalent OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the seventeenth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Ag3+ atoms. In the twentieth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, edges with two equivalent OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, and edges with two equivalent OMg2Ag2 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Ag3+ atoms to form distorted OAg4 trigonal pyramids that share corners with five OMg2Ag2 tetrahedra, corners with two equivalent OMgAg3 trigonal pyramids, edges with two equivalent OMgAg3 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share corners with five OMg2Ag2 tetrahedra, corners with two OMgAg3 trigonal pyramids, an edgeedge with one OMgAg3 tetrahedra, and edges with two OAg4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with three OMgAg3 trigonal pyramids, edges with two equivalent OMgAg3 tetrahedra, and an edgeedge with one OAg4 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Zn(AgO2)2 by Materials Project

Zn(AgO2)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ag3+ sites. In the first Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AgO4 tetrahedra, edges with three AgO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.08–2.25 Å. In the second Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six AgO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–64°. There are a spread of Ag–O bond distances ranging from 2.18–2.27 Å. In the third Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with three equivalent AgO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.10–2.29 Å. In the fourth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AgO4 tetrahedra, edges with three AgO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.07–2.28 Å. In the fifth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two equivalent AgO6 octahedra, and edges with four ZnO6 octahedra. There are two shorter (2.08 Å) and four longer (2.14 Å) Ag–O bond lengths. In the sixth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six AgO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Ag–O bond distances ranging from 2.15–2.22 Å. In the seventh Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two equivalent AgO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.08–2.15 Å. In the eighth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AgO4 tetrahedra, edges with three AgO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.06–2.19 Å. In the ninth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six AgO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Ag–O bond distances ranging from 2.11–2.19 Å. In the tenth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AgO4 tetrahedra, edges with three AgO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.05–2.19 Å. In the eleventh Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six AgO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Ag–O bond distances ranging from 2.18–2.21 Å. In the twelfth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Ag–O bond distances ranging from 2.12–2.22 Å. There are six inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Zn–O bond distances ranging from 2.00–2.09 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six AgO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.19 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four AgO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five AgO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.11–2.21 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six AgO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.19 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six AgO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.18 Å. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five AgO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five AgO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.23 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ag3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 tetrahedra that share corners with six OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, and an edgeedge with one OZn2Ag2 trigonal pyramid. In the third O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 trigonal pyramids that share corners with five OZnAg3 tetrahedra, corners with three OAg4 trigonal pyramids, and an edgeedge with one OZnAg3 tetrahedra. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ag3+ and one Zn2+ atom. In the fifth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with seven OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and edges with two OZnAg3 trigonal pyramids. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Ag3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with six OZn2Ag2 tetrahedra, corners with six OZnAg3 trigonal pyramids, edges with two OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the eighth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with five OZnAg3 tetrahedra, corners with four OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the ninth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with seven OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and edges with two OZnAg3 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with five OZnAg3 tetrahedra, corners with three OAg4 trigonal pyramids, and edges with two OZn2Ag2 tetrahedra. In the eleventh O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with seven OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, edges with two OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with five OZnAg3 tetrahedra, corners with three OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with six OZn2Ag2 tetrahedra, corners with six OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with six OZn2Ag2 tetrahedra, corners with six OZnAg3 trigonal pyramids, edges with two OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with six OZn2Ag2 tetrahedra, corners with six OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and edges with two OZnAg3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with six OZn2Ag2 tetrahedra, corners with six OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ag3+ and two Zn2+ atoms. In the eighteenth O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with six OZn2Ag2 tetrahedra, corners with five OZnAg3 trigonal pyramids, edges with two OZn2Ag2 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with six OZn2Ag2 tetrahedra, corners with six OAg4 trigonal pyramids, and edges with two OZn2Ag2 tetrahedra. In the twentieth O2- site, O2- is bonded to two Ag3+ and two Zn2+ atoms to form distorted OZn2Ag2 tetrahedra that share corners with six OZn2Ag2 tetrahedra, corners with six OZnAg3 trigonal pyramids, an edgeedge with one OZn2Ag2 tetrahedra, and edges with two OZnAg3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ag3+ atoms to form distorted OAg4 trigonal pyramids that share corners with four OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, edges with two OZnAg3 tetrahedra, and an edgeedge with one OZnAg3 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 tetrahedra that share corners with four OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, an edgeedge with one OZnAg3 tetrahedra, and edges with two OZnAg3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 trigonal pyramids that share corners with six OZn2Ag2 tetrahedra, corners with three OZnAg3 trigonal pyramids, edges with two OZnAg3 tetrahedra, and an edgeedge with one OAg4 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to three Ag3+ and one Zn2+ atom to form distorted OZnAg3 tetrahedra that share corners with four OZn2Ag2 tetrahedra, corners with four OZnAg3 trigonal pyramids, an edgeedge with one OZnAg3 tetrahedra, and edges with two OZnAg3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li9Cr12Fe7O48 by Materials Project

Li9Cr12Fe7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.13–2.26 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 2.09–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 2.09–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–70°. There are a spread of Li–O bond distances ranging from 2.11–2.41 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 68–72°. There are a spread of Li–O bond distances ranging from 2.13–2.30 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.09–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two FeO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 65–67°. There are a spread of Li–O bond distances ranging from 2.10–2.32 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. There are twelve inequivalent Cr+5.50+ sites. In the first Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. In the second Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–57°. There are a spread of Cr–O bond distances ranging from 1.64–1.69 Å. In the third Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–58°. There are a spread of Cr–O bond distances ranging from 1.64–1.71 Å. In the fourth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–55°. There are a spread of Cr–O bond distances ranging from 1.66–1.70 Å. In the fifth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one FeO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–55°. There are a spread of Cr–O bond distances ranging from 1.65–1.70 Å. In the sixth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three LiO6 octahedra and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 23–60°. There are a spread of Cr–O bond distances ranging from 1.65–1.73 Å. In the seventh Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with three FeO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–57°. There are a spread of Cr–O bond distances ranging from 1.66–1.68 Å. In the eighth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of Cr–O bond distances ranging from 1.64–1.70 Å. In the ninth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Cr–O bond distances ranging from 1.62–1.73 Å. In the tenth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent FeO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the eleventh Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent FeO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of Cr–O bond distances ranging from 1.66–1.69 Å. In the twelfth Cr+5.50+ site, Cr+5.50+ is bonded to four O2- atoms to form CrO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 26–63°. There are a spread of Cr–O bond distances ranging from 1.65–1.72 Å. There are seven inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 pentagonal pyramids that share corners with two LiO6 octahedra, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 70°. There are a spread of Fe–O bond distances ranging from 2.11–2.23 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.08–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six CrO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.10–2.17 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Fe–O bond distances ranging from 2.09–2.15 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Fe–O bond distances ranging from 2.05–2.19 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six CrO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Fe–O bond distances ranging from 2.06–2.17 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr+5.50+, and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Ca2NF by Materials Project

Ca2NF crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are thirty-six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form distorted CaN3F3 octahedra that share corners with seven CaN3F3 octahedra, corners with two equivalent CaN3F tetrahedra, an edgeedge with one CaN3F3 octahedra, edges with four CaN3F2 square pyramids, edges with two equivalent CaN3F tetrahedra, and a faceface with one CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–82°. There are one shorter (2.42 Å) and two longer (2.43 Å) Ca–N bond lengths. There are one shorter (2.54 Å) and two longer (2.82 Å) Ca–F bond lengths. In the second Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form CaN3F3 octahedra that share corners with three equivalent CaN3F3 octahedra, corners with three equivalent CaN3F2 square pyramids, edges with ten CaN3F3 octahedra, and edges with two equivalent CaN3F tetrahedra. The corner-sharing octahedral tilt angles are 9°. All Ca–N bond lengths are 2.45 Å. There are one shorter (2.50 Å) and two longer (2.54 Å) Ca–F bond lengths. In the third Ca2+ site, Ca2+ is bonded to three N3- and one F1- atom to form distorted CaN3F tetrahedra that share corners with seven CaN3F3 octahedra, corners with four CaN3F2 square pyramids, a cornercorner with one CaN3F tetrahedra, edges with two CaN3F3 octahedra, and an edgeedge with one CaN3F tetrahedra. The corner-sharing octahedra tilt angles range from 1–84°. There are two shorter (2.37 Å) and one longer (2.41 Å) Ca–N bond lengths. The Ca–F bond length is 2.34 Å. In the fourth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form distorted CaN3F3 octahedra that share corners with four CaN3F3 octahedra, corners with three equivalent CaN3F tetrahedra, edges with nine CaN3F3 octahedra, and an edgeedge with one CaN3F2 square pyramid. The corner-sharing octahedra tilt angles range from 1–82°. There are one shorter (2.38 Å) and two longer (2.45 Å) Ca–N bond lengths. There are one shorter (2.29 Å) and two longer (2.74 Å) Ca–F bond lengths. In the fifth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.40 Å) and one longer (2.42 Å) Ca–N bond lengths. There are two shorter (2.49 Å) and one longer (2.75 Å) Ca–F bond lengths. In the sixth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All Ca–N bond lengths are 2.42 Å. There are two shorter (2.61 Å) and one longer (2.62 Å) Ca–F bond lengths. In the seventh Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are one shorter (2.40 Å) and two longer (2.41 Å) Ca–N bond lengths. There are a spread of Ca–F bond distances ranging from 2.51–2.73 Å. In the eighth Ca2+ site, Ca2+ is bonded to three N3- and two equivalent F1- atoms to form CaN3F2 square pyramids that share corners with five CaN3F3 octahedra, corners with two equivalent CaN3F2 square pyramids, corners with four equivalent CaN3F tetrahedra, and edges with six CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–21°. There are one shorter (2.35 Å) and two longer (2.42 Å) Ca–N bond lengths. Both Ca–F bond lengths are 2.46 Å. In the ninth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form distorted CaN3F3 octahedra that share corners with five CaN3F3 octahedra, corners with two equivalent CaN3F tetrahedra, edges with nine CaN3F3 octahedra, and an edgeedge with one CaN3F2 square pyramid. The corner-sharing octahedra tilt angles range from 0–7°. There are one shorter (2.37 Å) and two longer (2.45 Å) Ca–N bond lengths. There are one shorter (2.29 Å) and two longer (2.80 Å) Ca–F bond lengths. In the tenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Ca–N bond distances ranging from 2.39–2.41 Å. There are a spread of Ca–F bond distances ranging from 2.52–2.67 Å. In the eleventh Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are one shorter (2.39 Å) and two longer (2.42 Å) Ca–N bond lengths. There are two shorter (2.59 Å) and one longer (2.68 Å) Ca–F bond lengths. In the twelfth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. All Ca–N bond lengths are 2.41 Å. There are two shorter (2.65 Å) and one longer (2.67 Å) Ca–F bond lengths. In the thirteenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are one shorter (2.39 Å) and two longer (2.42 Å) Ca–N bond lengths. There are a spread of Ca–F bond distances ranging from 2.59–2.67 Å. In the fourteenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are two shorter (2.41 Å) and one longer (2.42 Å) Ca–N bond lengths. All Ca–F bond lengths are 2.71 Å. In the fifteenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.40 Å) and one longer (2.42 Å) Ca–N bond lengths. There are one shorter (2.53 Å) and two longer (2.66 Å) Ca–F bond lengths. In the sixteenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.40 Å) and one longer (2.42 Å) Ca–N bond lengths. There are a spread of Ca–F bond distances ranging from 2.59–2.68 Å. In the seventeenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are one shorter (2.40 Å) and two longer (2.42 Å) Ca–N bond lengths. There are two shorter (2.60 Å) and one longer (2.69 Å) Ca–F bond lengths. In the eighteenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. All Ca–N bond lengths are 2.41 Å. There are two shorter (2.65 Å) and one longer (2.67 Å) Ca–F bond lengths. In the nineteenth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are one shorter (2.40 Å) and two longer (2.42 Å) Ca–N bond lengths. There are a spread of Ca–F bond distances ranging from 2.60–2.67 Å. In the twentieth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are two shorter (2.41 Å) and one longer (2.42 Å) Ca–N bond lengths. There are two shorter (2.63 Å) and one longer (2.65 Å) Ca–F bond lengths. In the twenty-first Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.40 Å) and one longer (2.43 Å) Ca–N bond lengths. There are one shorter (2.61 Å) and two longer (2.66 Å) Ca–F bond lengths. In the twenty-second Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ca–N bond distances ranging from 2.40–2.42 Å. There are a spread of Ca–F bond distances ranging from 2.59–2.67 Å. In the twenty-third Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are one shorter (2.40 Å) and two longer (2.42 Å) Ca–N bond lengths. There are two shorter (2.60 Å) and one longer (2.68 Å) Ca–F bond lengths. In the twenty-fourth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All Ca–N bond lengths are 2.40 Å. There are two shorter (2.67 Å) and one longer (2.71 Å) Ca–F bond lengths. In the twenty-fifth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ca–N bond distances ranging from 2.40–2.43 Å. There are a spread of Ca–F bond distances ranging from 2.60–2.67 Å. In the twenty-sixth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. All Ca–N bond lengths are 2.42 Å. There are two shorter (2.61 Å) and one longer (2.63 Å) Ca–F bond lengths. In the twenty-seventh Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are two shorter (2.40 Å) and one longer (2.43 Å) Ca–N bond lengths. There are one shorter (2.61 Å) and two longer (2.66 Å) Ca–F bond lengths. In the twenty-eighth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharing CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are one shorter (2.40 Å) and two longer (2.41 Å) Ca–N bond lengths. There are a spread of Ca–F bond distances ranging from 2.60–2.67 Å. In the twenty-ninth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form CaN3F3 octahedra that share corners with six CaN3F3 octahedra, edges with ten CaN3F3 octahedra, and edges with two equivalent CaN3F2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. All Ca–N bond lengths are 2.41 Å. There are one shorter (2.52 Å) and two longer (2.63 Å) Ca–F bond lengths. In the thirtieth Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form distorted CaN3F3 octahedra that share corners with three equivalent CaN3F3 octahedra, corners with four CaN3F2 square pyramids, corners with two equivalent CaN3F tetrahedra, edges with five CaN3F3 octahedra, edges with two equivalent CaN3F2 square pyramids, and a faceface with one CaN3F3 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are one shorter (2.40 Å) and two longer (2.41 Å) Ca–N bond lengths. There are one shorter (2.47 Å) and two longer (2.86 Å) Ca–F bond lengths. In the thirty-first Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form CaN3F3 octahedra that share corners with three equivalent CaN3F3 octahedra, corners with three equivalent CaN3F2 square pyramids, edges with eleven CaN3F3 octahedra, and an edgeedge with one CaN3F2 square pyramid. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ca–N bond distances ranging from 2.40–2.43 Å. There are a spread of Ca–F bond distances ranging from 2.57–2.62 Å. In the thirty-second Ca2+ site, Ca2+ is bonded to three N3- and three F1- atoms to form a mixture of edge and corner-sharin

36 MATERIALS SCIENCE↗

Materials Data on Na5Li3Ti5O14 by Materials Project

Na5Li3Ti5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with three NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–15°. There are a spread of Na–O bond distances ranging from 2.29–2.46 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with five NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Na–O bond distances ranging from 2.23–2.41 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four TiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 14–17°. There are a spread of Na–O bond distances ranging from 2.30–2.45 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–17°. There are a spread of Na–O bond distances ranging from 2.23–2.46 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, edges with three NaO6 octahedra, edges with three LiO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Na–O bond distances ranging from 2.26–2.37 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four TiO6 octahedra, edges with three LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.00–2.54 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with five TiO6 octahedra, edges with three LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Li–O bond distances ranging from 2.05–2.36 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra, corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with three TiO6 octahedra, and edges with four NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Ti–O bond distances ranging from 1.94–2.15 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Ti–O bond distances ranging from 1.89–2.26 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Ti–O bond distances ranging from 1.86–2.21 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+, three Li1+, and two Ti4+ atoms to form ONaLi3Ti2 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2LiTi2 square pyramids, edges with six ONaLi3Ti2 octahedra, and edges with six ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the second O2- site, O2- is bonded to two Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa2LiTi2 square pyramids that share corners with three ONaLi3Ti2 octahedra, corners with six ONa3Ti2 square pyramids, edges with seven ONaLi3Ti2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 6–14°. In the third O2- site, O2- is bonded to one Na1+, three Li1+, and two Ti4+ atoms to form ONaLi3Ti2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two ONa2LiTi2 square pyramids, edges with eight ONaLi3Ti2 octahedra, and edges with four ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONaLi3Ti2 octahedra, corners with two equivalent ONa3Ti2 square pyramids, edges with seven ONaLi3Ti2 octahedra, and edges with five ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with three ONaLi3Ti2 octahedra, corners with three ONa3Ti2 square pyramids, edges with nine ONaLi3Ti2 octahedra, and edges with three ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the sixth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2LiTi2 square pyramids, edges with nine ONaLi3Ti2 octahedra, and edges with three ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. In the seventh O2- site, O2- is bonded to three Na1+ and three Ti4+ atoms to form distorted ONa3Ti3 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONaLi3Ti2 octahedra, and edges with five ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 4–10°. In the eighth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONaLi3Ti2 octahedra, corners with two ONa3Ti2 square pyramids, edges with eight ONaLi3Ti2 octahedra, and edges with four ONa3Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 4–12°. In the ninth O2- site, O2- is bonded to two Na1+, one Li1+, and three Ti4+ atoms to form ONa2LiTi3 octahedra that share corners with three ONaLi3Ti2 octahedra, corners with three ONa3Ti2 square pyramids, edges with six ONaLi3Ti2 octahedra, and edges with six ONa3Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the tenth O2- site, O2- is bonded to three Na1+ and two Ti4+ atoms to form distorted ONa3Ti2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONa2LiTi2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONa3Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 5–8°. In the eleventh O2- site, O2- is bonded to three Na1+ and two Ti4+ atoms to form distorted ONa3Ti2 square pyramids that share corners with four ONa3LiTi2 octahedra, corners with five ONa2LiTi2 square pyramids, edges with five ONaLi3Ti2 octahedra, and edges with three ONa3Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–15°. In the twelfth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form ONaLi2Ti2 square pyramids that share corners with three ONaLi3Ti2 octahedra, corners with six ONa2LiTi2 square pyramids, edges with six ONaLi3Ti2 octahedra, and edges with two ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 0–9°. In the thirteenth O2- site, O2- is bonded to two Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa2LiTi2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONa2LiTi2 square pyramids, edges with six ONaLi3Ti2 octahedra, and edges with two ONa3Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 14–15°. In the fourteenth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with four ONaLi3Ti2 octahedra, corners with five ONa2LiTi2 square pyramids, edges with five ONaLi3Ti2 octahedra, and edges with three ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 5–11°.

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–O bond distances ranging from 1.91–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.91–2.33 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Mn–O bond distances ranging from 1.91–2.30 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Fe–O bond distances ranging from 1.95–2.21 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.93–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.92–2.25 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 pentagonal pyramids that share corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Co–O bond distances ranging from 1.91–2.33 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Co–O bond distances ranging from 1.87–2.12 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Co–O bond distances ranging from 1.92–2.27 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 38–55°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one CoO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent CoO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There is two shorter (1.52 Å) and two longer (1.59 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mn2+, one Fe3+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bo

36 MATERIALS SCIENCE↗

Materials Data on Li8Fe3Co7O20 by Materials Project

Li8Fe3Co7O20 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six CoO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of Li–O bond distances ranging from 2.02–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of Li–O bond distances ranging from 2.00–2.36 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five FeO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.16–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–19°. There are a spread of Li–O bond distances ranging from 2.02–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five FeO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–19°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–19°. There are a spread of Fe–O bond distances ranging from 1.98–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–19°. There are a spread of Fe–O bond distances ranging from 1.98–2.06 Å. There are seven inequivalent Co+3.29+ sites. In the first Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the second Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Co–O bond distances ranging from 1.92–1.96 Å. In the third Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There is one shorter (1.89 Å) and five longer (1.90 Å) Co–O bond length. In the fourth Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four LiO6 octahedra, and edges with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of Co–O bond distances ranging from 1.92–1.98 Å. In the fifth Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Co–O bond distances ranging from 1.94–1.98 Å. In the sixth Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There is four shorter (1.90 Å) and two longer (1.91 Å) Co–O bond length. In the seventh Co+3.29+ site, Co+3.29+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Fe2Co octahedra, a cornercorner with one OLiCo3 trigonal pyramid, edges with ten OLi3FeCo2 octahedra, and edges with two equivalent OLi2Co3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the second O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.29+ atoms to form OLi2Co3 square pyramids that share corners with five OLi3Co3 octahedra, corners with four OLiCo3 trigonal pyramids, edges with six OLi3Co3 octahedra, and edges with two equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. In the third O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form OLi3Co3 octahedra that share corners with two OLi3Co3 octahedra, corners with four equivalent OLi2Co3 square pyramids, edges with six OLi3Co3 octahedra, edges with two equivalent OLi2Co3 square pyramids, and edges with four OLiCo3 trigonal pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O2- site, O2- is bonded to one Li1+ and three Co+3.29+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLi3Co3 octahedra, corners with four OLi2Co3 square pyramids, corners with four OLiCo3 trigonal pyramids, edges with four OLi3Co3 octahedra, and an edgeedge with one OLiCo3 trigonal pyramid. The corner-sharing octahedra tilt angles range from 5–16°. In the fifth O2- site, O2- is bonded to one Li1+ and three Co+3.29+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLi3Co3 octahedra, corners with four OLi2Co3 square pyramids, corners with four OLiCo3 trigonal pyramids, edges with four OLi3Co3 octahedra, and an edgeedge with one OLiCo3 trigonal pyramid. The corner-sharing octahedra tilt angles range from 3–19°. In the sixth O2- site, O2- is bonded to two equivalent Li1+, one Fe3+, and two equivalent Co+3.29+ atoms to form OLi2FeCo2 square pyramids that share corners with five OLi3Co3 octahedra, corners with four OLiCo3 trigonal pyramids, edges with six OLi3Co3 octahedra, and edges with two equivalent OLi2FeCo2 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+3.29+ atoms to form OLi3Co3 octahedra that share corners with two OLi3Co3 octahedra, corners with four equivalent OLi2FeCo2 square pyramids, edges with six OLi3Co3 octahedra, edges with two equivalent OLi2FeCo2 square pyramids, and edges with four OLiCo3 trigonal pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co+3.29+ atom to form OLi3Fe2Co octahedra that share corners with five OLi3Fe2Co octahedra, a cornercorner with one OLiCo3 trigonal pyramid, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi2FeCo2 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co+3.29+ atom to form OLi3Fe2Co octahedra that share corners with four equivalent OLi3Fe2Co octahedra, a cornercorner with one OLi2Fe2Co square pyramid, a cornercorner with one OLiCo3 trigonal pyramid, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi2FeCo2 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the tenth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co+3.29+ atoms to form OLi3FeCo2 octahedra that share corners with four equivalent OLi3FeCo2 octahedra, a cornercorner with one OLi2FeCo2 square pyramid, a cornercorner with one OLiFeCo2 trigonal pyramid, edges with ten OLi3Fe2Co octahedra, and edges with two equivalent OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co+3.29+ atoms to form OLi3FeCo2 octahedra that share corners with five OLi3Co3 octahedra, a cornercorner with one OLiFeCo2 trigonal pyramid, edges with ten OLi3Fe2Co octahedra, and edges with two equivalent OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Fe3+, and one Co+3.29+ atom to form OLi2Fe2Co square pyramids that share corners with five OLi3Fe2Co octahedra, corners with four OLiFeCo2 trigonal pyramids, edges with six OLi3FeCo2 octahedra, and edges with two equivalent OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co+3.29+ atom to form OLi3Fe2Co octahedra that share corners with two OLi3Fe2Co octahedra, corners with four equivalent OLi2Fe2Co square pyramids, edges with six OLi3FeCo2 octahedra, edges with two equivalent OLi2Fe2Co square pyramids, and edges with four OLiFeCo2 trigonal pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the fourteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two equivalent Co+3.29+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners wi

36 MATERIALS SCIENCE↗

Materials Data on Dy29Y3O48 by Materials Project

Dy29Y3O48 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, edges with two YO6 octahedra, and edges with four DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Dy–O bond lengths are 2.30 Å. In the sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Dy–O bond lengths are 2.30 Å. In the seventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Dy–O bond lengths are 2.30 Å. In the eighth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the ninth Dy3+ site, Dy3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the tenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the eleventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the twelfth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the thirteenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the fourteenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two YO6 octahedra, corners with four DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the fifteenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the sixteenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the seventeenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the eighteenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the nineteenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Dy–O bond lengths are 2.30 Å. In the twentieth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Dy–O bond lengths are 2.30 Å. In the twenty-first Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Dy–O bond lengths are 2.30 Å. In the twenty-second Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the twenty-third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the twenty-fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the twenty-fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the twenty-sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. In the twenty-seventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Dy–O bond distances ranging from 2.26–2.35 Å. There are three inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six DyO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five DyO6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Y–O bond lengths are 2.30 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six DyO6 octahedra and edges with six DyO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to two Dy3+ and two Y3+ atoms to form distorted ODy2Y2 trigonal pyramids that share corners with twelve ODy4 trigonal pyramids and edges with four ODy3Y trigonal pyramids. In the second O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form distorted ODy3Y trigonal pyramids that share corners with twelve ODy4 trigonal pyramids and edges with four ODy2Y2 trigonal pyramids. In the third O2- site, O2- is bonded to four Dy3+ atoms to form distorted ODy4 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODy3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to four Dy3+ atoms to form distorted ODy4 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODy4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Dy3+ atoms to form distorted ODy4 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODy4 trigonal pyramids. The O–Dy bond length is 2.30 Å. In the sixth O2- site, O2- is bonded to four Dy3+ atoms to form distorted ODy4 trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODy4 trigonal pyramids. In the seventh O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing ODy3Y trigonal pyramids. In the eighth O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of distorted edge and corner-sharing ODy4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of distorted edge and corner-sharing ODy4 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form distorted ODy3Y trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODy4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Dy3+ and one Y3+ atom to form distorted ODy3Y trigonal pyramids that share corners with twelve ODy2Y2 trigonal pyramids and edges with four ODy4 trigonal pyramids. In the twelfth O2- site, O2-

36 MATERIALS SCIENCE↗