Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “tilt”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 127 records · Page 7

Materials Data on Fe35O36 by Materials Project

Fe35O36 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-five inequivalent Fe+2.06+ sites. In the first Fe+2.06+ site, Fe+2.06+ 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 2–10°. There are a spread of Fe–O bond distances ranging from 2.11–2.33 Å. In the second Fe+2.06+ site, Fe+2.06+ 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 3–8°. There are a spread of Fe–O bond distances ranging from 2.13–2.32 Å. In the third Fe+2.06+ site, Fe+2.06+ 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 2–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.27 Å. In the fourth Fe+2.06+ site, Fe+2.06+ 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 2–7°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the fifth Fe+2.06+ site, Fe+2.06+ 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 2.11–2.31 Å. In the sixth Fe+2.06+ site, Fe+2.06+ 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 1–17°. There are a spread of Fe–O bond distances ranging from 2.10–2.24 Å. In the seventh Fe+2.06+ site, Fe+2.06+ 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 2–10°. There are a spread of Fe–O bond distances ranging from 2.09–2.30 Å. In the eighth Fe+2.06+ site, Fe+2.06+ 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 2–4°. There are a spread of Fe–O bond distances ranging from 2.03–2.20 Å. In the ninth Fe+2.06+ site, Fe+2.06+ 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 1–10°. There are a spread of Fe–O bond distances ranging from 2.12–2.22 Å. In the tenth Fe+2.06+ site, Fe+2.06+ 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 3–17°. There are a spread of Fe–O bond distances ranging from 2.08–2.33 Å. In the eleventh Fe+2.06+ site, Fe+2.06+ 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 2–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the twelfth Fe+2.06+ site, Fe+2.06+ 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 3–9°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the thirteenth Fe+2.06+ site, Fe+2.06+ 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 2–10°. There are a spread of Fe–O bond distances ranging from 2.07–2.26 Å. In the fourteenth Fe+2.06+ site, Fe+2.06+ 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 1–5°. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the fifteenth Fe+2.06+ site, Fe+2.06+ 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 1–7°. There are a spread of Fe–O bond distances ranging from 2.14–2.20 Å. In the sixteenth Fe+2.06+ site, Fe+2.06+ 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 4–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the seventeenth Fe+2.06+ site, Fe+2.06+ 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 1–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.31 Å. In the eighteenth Fe+2.06+ site, Fe+2.06+ 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 5–11°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the nineteenth Fe+2.06+ site, Fe+2.06+ 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 3–9°. There are a spread of Fe–O bond distances ranging from 2.10–2.31 Å. In the twentieth Fe+2.06+ site, Fe+2.06+ 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 2.09–2.26 Å. In the twenty-first Fe+2.06+ site, Fe+2.06+ 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 1–6°. There are a spread of Fe–O bond distances ranging from 2.03–2.13 Å. In the twenty-second Fe+2.06+ site, Fe+2.06+ 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 7–12°. There are a spread of Fe–O bond distances ranging from 2.08–2.27 Å. In the twenty-third Fe+2.06+ site, Fe+2.06+ 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 4–14°. There are a spread of Fe–O bond distances ranging from 2.12–2.32 Å. In the twenty-fourth Fe+2.06+ site, Fe+2.06+ 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 3–8°. There are a spread of Fe–O bond distances ranging from 2.07–2.24 Å. In the twenty-fifth Fe+2.06+ site, Fe+2.06+ 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 1–13°. There are a spread of Fe–O bond distances ranging from 2.10–2.32 Å. In the twenty-sixth Fe+2.06+ site, Fe+2.06+ 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 2–10°. There are a spread of Fe–O bond distances ranging from 2.13–2.22 Å. In the twenty-seventh Fe+2.06+ site, Fe+2.06+ 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 1–6°. There are a spread of Fe–O bond distances ranging from 2.10–2.37 Å. In the twenty-eighth Fe+2.06+ site, Fe+2.06+ 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 2–9°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-ninth Fe+2.06+ site, Fe+2.06+ 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 2–9°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the thirtieth Fe+2.06+ site, Fe+2.06+ 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 2–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the thirty-first Fe+2.06+ site, Fe+2.06+ 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 3–14°. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the thirty-second Fe+2.06+ site, Fe+2.06+ 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 1–4°. There are a spread of Fe–O bond distances ranging from 2.12–2.29 Å. In the thirty-third Fe+2.06+ site, Fe+2.06+ 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 2–10°. There are a spread of Fe–O bond distances ranging from 2.15–2.24 Å. In the thirty-fourth Fe+2.06+ site, Fe+2.06+ 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 1–10°. There are a spread of Fe–O bond distances ranging from 2.08–2.32 Å. In the thirty-fifth Fe+2.06+ site, Fe+2.06+ 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 2.09–2.33 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–12°. In the second O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–5°. In the third O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with six OFe6 octahedra, edges with nine OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with ten OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the seventh O2- site, O2- is bonded to five Fe+2.06+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, and edges with eight OFe6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. In the ninth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to six Fe+2.06+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with eleven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li2MoO3 by Materials Project

Li2MoO3 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.03–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.12–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.12–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.11–2.45 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.15–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Li–O bond distances ranging from 2.15–2.33 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent MoO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent MoO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.09–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.11–2.39 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–O bond distances ranging from 2.10–2.25 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.03–2.33 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MoO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.15–2.23 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MoO6 octahedra, corners with five LiO6 octahedra, edges with five MoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.11–2.27 Å. There are eight inequivalent Mo4+ sites. In the first Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Mo–O bond distances ranging from 1.86–2.14 Å. In the second Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mo–O bond distances ranging from 1.96–2.18 Å. In the third Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Mo–O bond distances ranging from 2.05–2.17 Å. In the fourth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mo–O bond distances ranging from 2.03–2.15 Å. In the fifth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mo–O bond distances ranging from 1.94–2.17 Å. In the sixth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Mo–O bond distances ranging from 2.03–2.18 Å. In the seventh Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with three MoO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mo–O bond distances ranging from 1.98–2.18 Å. In the eighth Mo4+ site, Mo4+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with six LiO6 octahedra, edges with four MoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mo–O bond distances ranging from 2.12–2.18 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the second O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the third O2- site, O2- is bonded to five Li1+ and one Mo4+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth O2- site, O2- is bonded to three Li1+ and three Mo4+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. In the fifth O2- site, O2- is bonded to five Li1+ and one Mo4+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the sixth O2- site, O2- is bonded to three Li1+ and three Mo4+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eighth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the ninth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form OLi4Mo2 octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Mo4+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mo4+ atom to form a mixture of edge and corner-sharing OLi5Mo octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Mo4+ atom to form OLi5Mo octahedra that share corners with six OLi4Mo2 octahedra and edges with twelve OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Mo4+ atoms to form a mixture of edge and corner-sharing OLi3Mo3 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the nineteenth O2- site, O2- is bonded to four Li1+ and two Mo4+ atoms to form a mixture of edge and corner-sharing OLi4Mo2 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. In the twentieth O2- site, O

36 MATERIALS SCIENCE↗

Materials Data on Li19Ni23O42 by Materials Project

Li19Ni23O42 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the second Li site, Li is bonded to six O 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 2–10°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the fourth Li site, Li is bonded to six O 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 2–10°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the ninth Li site, Li is bonded to six O 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 3–8°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the tenth Li site, Li is bonded to six O 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 6–8°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. There are twelve inequivalent Ni sites. In the first Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Ni–O bond distances ranging from 2.03–2.07 Å. In the second Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ni–O bond distances ranging from 2.03–2.07 Å. In the third Ni site, Ni is bonded to six O atoms to form NiO6 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 1–9°. There are a spread of Ni–O bond distances ranging from 2.03–2.05 Å. In the fourth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.11 Å. In the fifth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Ni–O bond distances ranging from 2.03–2.07 Å. In the sixth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.91–2.10 Å. In the seventh Ni site, Ni is bonded to six O 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 5–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.04 Å. In the eighth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.05 Å. In the ninth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, corners with four LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.92–2.10 Å. In the tenth Ni site, Ni is bonded to six O 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 2–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.06 Å. In the eleventh Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.09 Å. In the twelfth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with seven NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Ni–O bond distances ranging from 1.89–2.05 Å. There are twenty-one inequivalent O sites. In the first O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the second O site, O is bonded to two Li and four Ni atoms to form OLi2Ni4 octahedra that share corners with six OLi2Ni4 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the third O site, O is bonded to two Li and four Ni atoms to form a mixture of edge and corner-sharing OLi2Ni4 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the sixth O site, O is bonded to two Li and four Ni atoms to form OLi2Ni4 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi2Ni4 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eighth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the tenth O site, O is bonded to two Li and four Ni atoms to form a mixture of edge and corner-sharing OLi2Ni4 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eleventh O site, O is bonded to three Li and three Ni atoms to form OLi3Ni3 octahedra that share corners with six OLi2Ni4 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the thirteenth O site, O is bonded to two Li and four Ni atoms to form a mixture of edge and corner-sharing OLi2Ni4 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourteenth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fifteenth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixteenth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the seventeenth O site, O is bonded to three Li and three Ni atoms to form OLi3Ni3 octahedra that share corners with six OLi2Ni4 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighteenth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the nineteenth O site, O is bonded to two Li and four Ni atoms to form a mixture of edge and corner-sharing OLi2Ni4 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the twentieth O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twenty-first O site, O is bonded to three Li and three Ni atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Fe5O12 by Materials Project

Li7Fe5O12 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.08–2.25 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are four shorter (2.14 Å) and two longer (2.15 Å) Li–O bond lengths. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.05–2.33 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.07–2.27 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.05–2.35 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.06–2.35 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are five shorter (2.14 Å) and one longer (2.15 Å) Li–O bond lengths. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five FeO6 octahedra, edges with five FeO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.05–2.32 Å. There are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are two shorter (2.03 Å) and four longer (2.04 Å) Fe–O bond lengths. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. All Fe–O bond lengths are 2.04 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There is one shorter (1.92 Å) and five longer (1.93 Å) Fe–O bond length. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There is two shorter (1.92 Å) and four longer (1.93 Å) Fe–O bond length. There are twenty-four inequivalent O sites. In the first O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the second O site, O is bonded to four Li and two Fe atoms to form OLi4Fe2 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the third O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fourth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixth O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the tenth O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the eleventh O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with six OLi4Fe2 octahedra and edges with twelve OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the twelfth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with six OLi4Fe2 octahedra and edges with twelve OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fourteenth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifteenth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixteenth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eighteenth O site, O is bonded to four Li and two Fe atoms to form a mixture of edge and corner-sharing OLi4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the nineteenth O site, O is bonded to three Li and three Fe atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti10O21 by Materials Project

Na11Ti10O21 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Na–O bond distances ranging from 2.25–2.48 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with four TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Na–O bond distances ranging from 2.25–2.45 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.28–2.43 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Na–O bond distances ranging from 2.36–2.38 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Na–O bond distances ranging from 2.35–2.39 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Na–O bond distances ranging from 2.33–2.50 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NaO6 octahedra, edges with five NaO6 octahedra, and edges with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Na–O bond distances ranging from 2.24–2.27 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–12°. There are a spread of Na–O bond distances ranging from 2.35–2.38 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.27–2.42 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Na–O bond distances ranging from 2.35–2.41 Å. There are eleven inequivalent Ti+3.10+ sites. In the first Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with ten NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Ti–O bond distances ranging from 2.24–2.43 Å. In the second Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Ti–O bond distances ranging from 1.91–2.17 Å. In the third Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ti–O bond distances ranging from 2.02–2.11 Å. In the fourth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Ti–O bond distances ranging from 1.98–2.14 Å. In the fifth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Ti–O bond distances ranging from 2.06–2.11 Å. In the sixth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. In the seventh Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. In the eighth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.12 Å. In the ninth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with five NaO6 octahedra, edges with five TiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Ti–O bond distances ranging from 2.02–2.17 Å. In the tenth Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–13°. There are a spread of Ti–O bond distances ranging from 2.05–2.12 Å. In the eleventh Ti+3.10+ site, Ti+3.10+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the second O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the third O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fifth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the seventh O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the twelfth O2- site, O2- is bonded to four Na1+ and two Ti+3.10+ atoms to form a mixture of distorted edge and corner-sharing ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa3Ti3 octahedra and edges with twelve ONa4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fourteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventeenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eighteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the nineteenth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form a mixture of edge and corner-sharing ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twentieth O2- site, O2- is bonded to three Na1+ and three Ti+3.10+ atoms to form ONa3Ti3 octahedra that share corners with six ONa4Ti2 octahedra and edges with twelve ONa3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the twenty-first O2- site, O2- is bonded to three Na1+ and three Ti+3.1

36 MATERIALS SCIENCE↗

Materials Data on Fe21O23 by Materials Project

Fe21O23 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Fe+2.19+ sites. In the first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Fe–O bond distances ranging from 2.14–2.29 Å. In the third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.07–2.25 Å. In the fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 2.14–2.31 Å. In the fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. In the sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 1.99–2.28 Å. In the eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.02–2.20 Å. In the ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Fe–O bond distances ranging from 2.12–2.25 Å. In the tenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.14–2.25 Å. In the eleventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Fe–O bond distances ranging from 2.14–2.25 Å. In the twelfth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Fe–O bond distances ranging from 2.07–2.35 Å. In the thirteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Fe–O bond distances ranging from 2.11–2.24 Å. In the fourteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Fe–O bond distances ranging from 2.14–2.27 Å. In the fifteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.01–2.23 Å. In the sixteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Fe–O bond distances ranging from 2.13–2.26 Å. In the seventeenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Fe–O bond distances ranging from 2.14–2.21 Å. In the eighteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.14–2.31 Å. In the nineteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.03–2.15 Å. In the twentieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Fe–O bond distances ranging from 2.14–2.24 Å. In the twenty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Fe–O bond distances ranging from 2.10–2.23 Å. There are twenty-three inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–8°. In the third O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the fourth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with four OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the fifth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 7–10°. In the sixth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe5 square pyramids, edges with four OFe6 octahedra, and edges with eight OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the seventh O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 6–8°. In the eighth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with four OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the ninth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with five OFe6 octahedra, corners with four OFe5 square pyramids, edges with five OFe6 octahedra, and edges with three OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the tenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with two OFe6 octahedra, corners with seven OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 4–10°. In the eleventh O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–9°. In the twelfth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two 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 5–7°. In the thirteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the fourteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 5–10°. In the fifteenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–9°. In the sixteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share a cornercorner with one OFe6 octahedra, corners with eight OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedral tilt angles are 10°. In the seventeenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. In the eighteenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with three OFe6 octahedra, corners with three OFe5 square pyramids, edges with six OFe6 octahedra, and edges with six OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the nineteenth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share a cornercorner with one OFe6 octahedra, corners with eight OFe5 square pyramids, edges with six OFe6 octahedra, and edges with two OFe5 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the twentieth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with five OFe6 octahedra, a cornercorner with one OFe5 square pyramid, edges with five OFe6 octahedra, and edges with seven OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the twenty-first O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with three OFe6 octahedra, corners with six OFe5 square pyramids, edges with seven OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 3–7°. In the twenty-second O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li23Ni17O40 by Materials Project

Li23Ni17O40 is Caswellsilverite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.02–2.17 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 NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.01–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 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 9–10°. There are a spread of Li–O bond distances ranging from 2.03–2.08 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 four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.05–2.19 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 four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.08–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.02–2.17 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.19 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 four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 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 9–10°. There are a spread of Li–O bond distances ranging from 2.04–2.06 Å. There are nine inequivalent Ni+3.35+ sites. In the first Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 1.92–1.98 Å. In the second Ni+3.35+ site, Ni+3.35+ 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 4–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.08 Å. In the third Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.02 Å. In the fourth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 1.88–2.00 Å. In the fifth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four NiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the sixth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.05 Å. In the seventh Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.04 Å. In the eighth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.04 Å. In the ninth Ni+3.35+ site, Ni+3.35+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five NiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.03 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form OLi4Ni2 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form OLi3Ni3 octahedra that share corners with six OLi4Ni2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form OLi3Ni3 octahedra that share corners with six OLi4Ni2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form OLi4Ni2 octahedra that share corners with six OLi4Ni2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the nineteenth O2- site, O2- is bonded to four Li1+ and two Ni+3.35+ atoms to form a mixture of edge and corner-sharing OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twentieth O2- site, O2- is bonded to three Li1+ and three Ni+3.35+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li7V5O12 by Materials Project

Li7V5O12 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 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 VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five VO6 octahedra, edges with five VO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. There are ten inequivalent V+3.40+ sites. In the first V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are four shorter (2.05 Å) and two longer (2.06 Å) V–O bond lengths. In the second V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of V–O bond distances ranging from 2.03–2.08 Å. In the third V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of V–O bond distances ranging from 2.03–2.08 Å. In the fourth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of V–O bond distances ranging from 2.03–2.08 Å. In the fifth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are four shorter (2.05 Å) and two longer (2.06 Å) V–O bond lengths. In the sixth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of V–O bond distances ranging from 2.03–2.08 Å. In the seventh V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent VO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of V–O bond distances ranging from 1.89–2.07 Å. In the eighth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent VO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of V–O bond distances ranging from 1.90–2.06 Å. In the ninth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent VO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of V–O bond distances ranging from 1.89–2.06 Å. In the tenth V+3.40+ site, V+3.40+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent VO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of V–O bond distances ranging from 1.90–2.06 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form a mixture of corner and edge-sharing OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form a mixture of corner and edge-sharing OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form a mixture of corner and edge-sharing OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form a mixture of corner and edge-sharing OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the tenth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form OLi4V2 octahedra that share corners with six OLi3V3 octahedra and edges with twelve OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form OLi4V2 octahedra that share corners with six OLi3V3 octahedra and edges with twelve OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form OLi4V2 octahedra that share corners with six OLi3V3 octahedra and edges with twelve OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two V+3.40+ atoms to form OLi4V2 octahedra that share corners with six OLi3V3 octahedra and edges with twelve OLi4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventeenth O2- site, O2- is bonded to three Li1+ and three V+3.40+ atoms to form a mixture of corner and edge-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°.

36 MATERIALS SCIENCE↗

Materials Data on Fe32O35 by Materials Project

Fe32O35 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Fe+2.19+ sites. In the first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Fe–O bond distances ranging from 1.95–2.22 Å. In the second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–18°. There are a spread of Fe–O bond distances ranging from 2.04–2.39 Å. In the third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–25°. There are a spread of Fe–O bond distances ranging from 2.06–2.37 Å. In the fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.03–2.27 Å. In the fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Fe–O bond distances ranging from 2.06–2.30 Å. In the sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. In the seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–24°. There are a spread of Fe–O bond distances ranging from 1.98–2.40 Å. In the eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 0–23°. There are a spread of Fe–O bond distances ranging from 2.00–2.40 Å. In the tenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the eleventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. In the twelfth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.00–2.35 Å. In the thirteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. There are a spread of Fe–O bond distances ranging from 2.02–2.27 Å. In the fourteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Fe–O bond distances ranging from 2.08–2.22 Å. In the fifteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Fe–O bond distances ranging from 2.14–2.26 Å. In the sixteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–24°. There are a spread of Fe–O bond distances ranging from 2.01–2.36 Å. In the seventeenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–23°. There are a spread of Fe–O bond distances ranging from 2.02–2.33 Å. In the eighteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Fe–O bond distances ranging from 2.07–2.30 Å. In the nineteenth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Fe–O bond distances ranging from 2.15–2.27 Å. In the twentieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Fe–O bond distances ranging from 2.05–2.33 Å. In the twenty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Fe–O bond distances ranging from 1.97–2.13 Å. In the twenty-second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.24 Å. In the twenty-third Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Fe–O bond distances ranging from 2.11–2.24 Å. In the twenty-fourth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Fe–O bond distances ranging from 2.07–2.35 Å. In the twenty-fifth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Fe–O bond distances ranging from 2.08–2.28 Å. In the twenty-sixth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–25°. There are a spread of Fe–O bond distances ranging from 2.08–2.34 Å. In the twenty-seventh Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.09–2.28 Å. In the twenty-eighth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Fe–O bond distances ranging from 2.04–2.30 Å. In the twenty-ninth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Fe–O bond distances ranging from 2.00–2.17 Å. In the thirtieth Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Fe–O bond distances ranging from 2.13–2.33 Å. In the thirty-first Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Fe–O bond distances ranging from 2.13–2.26 Å. In the thirty-second Fe+2.19+ site, Fe+2.19+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–19°. There are a spread of Fe–O bond distances ranging from 1.96–2.24 Å. There are thirty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe+2.19+ atoms. In the second O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, and an edgeedge with one OFe5 square pyramid. The corner-sharing octahedra tilt angles range from 2–9°. In the third O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, a cornercorner with one OFe5 square pyramid, corners with two equivalent OFe4 trigonal pyramids, edges with six OFe6 octahedra, and edges with two equivalent OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 11–17°. In the fourth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with two equivalent OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the fifth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, a cornercorner with one OFe4 trigonal pyramid, edges with eight OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two OFe4 trigonal pyramids, edges with eight OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded to four Fe+2.19+ atoms to form distorted OFe4 trigonal pyramids that share corners with four OFe6 octahedra, corners with four OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, and edges with five OFe6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. In the eighth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with two equivalent OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, edges with eight OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with three OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to five Fe+2.19+ atoms to form OFe5 square pyramids that share corners with four OFe6 octahedra, a cornercorner with one OFe5 square pyramid, corners with four OFe4 trigonal pyramids, edges with six OFe6 octahedra, and edges with two equivalent OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 17–19°. In the tenth O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with four OFe6 octahedra, corners with two equivalent OFe5 square pyramids, edges with nine OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with two equivalent OFe4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the eleventh O2- site, O2- is bonded to six Fe+2.19+ atoms to form OFe6 octahedra that share corners with two OFe6 octahedra, corners with two equivalent OFe5 square pyramids, corners with two equivalent OFe4 trigonal pyramids, edges with eight OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and edges with three OFe4 trigonal pyramids. The corner-sharing oc

36 MATERIALS SCIENCE↗

Materials Data on Li10FeCo9O20 by Materials Project

Li10FeCo9O20 is alpha Po-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with five CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five 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 2.08–2.16 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, corners with five CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 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 2.07–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 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 2.09–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the sixth 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 4–9°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the seventh 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 5–9°. There are a spread of Li–O bond distances ranging from 2.09–2.18 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 2–9°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the tenth 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 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There is three shorter (1.97 Å) and three longer (1.98 Å) Fe–O bond length. There are nine inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Co–O bond distances ranging from 1.99–2.05 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Co–O bond distances ranging from 1.96–2.07 Å. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.96–2.09 Å. In the sixth Co3+ site, Co3+ 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 CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.95–1.97 Å. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 2.00–2.03 Å. In the eighth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Co–O bond distances ranging from 1.95–1.97 Å. In the ninth Co3+ site, Co3+ 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 CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There is five shorter (1.95 Å) and one longer (1.96 Å) Co–O bond length. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the second O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the third O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eighth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with six OLi3FeCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventeenth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the nineteenth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twentieth O2- site, O2- is bonded to three Li1+, one Fe3+, and two Co3+ atoms to form OLi3FeCo2 octahedra that share corners with six OLi3FeCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Na13Ni11O24 by Materials Project

Na13Ni11O24 is Caswellsilverite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–17°. There are a spread of Na–O bond distances ranging from 2.23–2.41 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Na–O bond distances ranging from 2.34–2.42 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Na–O bond distances ranging from 2.22–2.48 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–18°. There are a spread of Na–O bond distances ranging from 2.19–2.31 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.37–2.46 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.36–2.43 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.36–2.42 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Na–O bond distances ranging from 2.22–2.48 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Na–O bond distances ranging from 2.37–2.47 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Na–O bond distances ranging from 2.34–2.42 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.29–2.40 Å. In the twelfth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.30–2.40 Å. In the thirteenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one NaO6 octahedra, corners with five NiO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Na–O bond distances ranging from 2.22–2.41 Å. There are eleven inequivalent Ni+3.18+ sites. In the first Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.94–2.13 Å. In the second Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Ni–O bond distances ranging from 1.92–2.19 Å. In the third Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.20 Å. In the fourth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.92–2.21 Å. In the fifth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–16°. There are a spread of Ni–O bond distances ranging from 1.92–2.19 Å. In the sixth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.91–2.21 Å. In the seventh Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Ni–O bond distances ranging from 1.94–2.13 Å. In the eighth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.19 Å. In the ninth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.19 Å. In the tenth Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.20 Å. In the eleventh Ni+3.18+ site, Ni+3.18+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Ni–O bond distances ranging from 1.93–2.18 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form ONa3Ni3 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form distorted ONa3Ni3 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the eleventh O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form distorted ONa4Ni2 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form distorted ONa3Ni3 octahedra that share corners with six ONa4Ni2 octahedra and edges with twelve ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form a mixture of corner and edge-sharing ONa3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifteenth O2- site, O2- is bonded to three Na1+ and three Ni+3.18+ atoms to form ONa3Ni3 octahedra that share corners with six ONa3Ni3 octahedra and edges with twelve ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixteenth O2- site, O2- is bonded to four Na1+ and two Ni+3.18+ atoms to form a mixture of distorted corner and edge-sharing ONa4Ni2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe2Co3O10 by Materials Project

Li5Fe2Co3O10 is alpha Po-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 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 Li–O bond distances ranging from 2.12–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 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 Li–O bond distances ranging from 2.12–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 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 Li–O bond distances ranging from 2.13–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent FeO6 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 2.12–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two FeO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.03–2.16 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Li–O bond distances ranging from 2.07–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. There are four inequivalent Fe3+ sites. In the first 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 CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There is four shorter (1.96 Å) and two longer (1.97 Å) Fe–O bond length. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six 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 3–8°. There are a spread of Fe–O bond distances ranging from 2.00–2.06 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 six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are four shorter (2.02 Å) and two longer (2.04 Å) Fe–O bond lengths. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six 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 3–8°. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. There are six inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 7°. All Co–O bond lengths are 1.94 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is four shorter (1.94 Å) and two longer (1.95 Å) Co–O bond length. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is four shorter (1.94 Å) and two longer (1.95 Å) Co–O bond length. In the fourth Co3+ site, Co3+ 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 CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There is three shorter (1.94 Å) and three longer (1.95 Å) Co–O bond length. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six 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 1–7°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the sixth Co3+ site, Co3+ 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 CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form a mixture of edge and corner-sharing OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form OLi3Fe2Co octahedra that share corners with six OLi3Fe2Co octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form OLi3FeCo2 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form OLi3Fe2Co octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe2Co octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventeenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the nineteenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form a mixture of edge and corner-sharing OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the twentieth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form OLi3FeCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°.

36 MATERIALS SCIENCE↗

Materials Data on Sc20O19 by Materials Project

Sc20O19 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Sc sites. In the first Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–O bond distances ranging from 2.22–2.26 Å. In the second Sc site, Sc is bonded to five O atoms to form ScO5 square pyramids that share corners with five ScO6 octahedra, corners with four ScO5 square pyramids, and edges with eight ScO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are two shorter (2.25 Å) and three longer (2.26 Å) Sc–O bond lengths. In the third Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with two ScO6 octahedra, corners with four ScO5 square pyramids, edges with nine ScO6 octahedra, and edges with three ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–O bond distances ranging from 2.22–2.25 Å. In the fourth Sc site, Sc is bonded to five O atoms to form ScO5 square pyramids that share corners with four ScO6 octahedra, corners with five ScO5 square pyramids, and edges with eight ScO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Sc–O bond distances ranging from 2.24–2.27 Å. In the fifth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with two ScO6 octahedra, corners with four ScO5 square pyramids, edges with nine ScO6 octahedra, and edges with three ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–O bond distances ranging from 2.22–2.25 Å. In the sixth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–O bond distances ranging from 2.22–2.27 Å. In the seventh Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with four ScO6 octahedra, corners with two ScO5 square pyramids, edges with ten ScO6 octahedra, and edges with two ScO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Sc–O bond distances ranging from 2.22–2.24 Å. In the eighth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Sc–O bond distances ranging from 2.22–2.26 Å. In the ninth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with two ScO6 octahedra, corners with four ScO5 square pyramids, edges with nine ScO6 octahedra, and edges with three ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Sc–O bond distances ranging from 2.21–2.25 Å. In the tenth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Sc–O bond distances ranging from 2.22–2.26 Å. In the eleventh Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with two ScO6 octahedra, corners with four ScO5 square pyramids, edges with nine ScO6 octahedra, and edges with three ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–O bond distances ranging from 2.21–2.24 Å. In the twelfth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Sc–O bond distances ranging from 2.22–2.27 Å. In the thirteenth Sc site, Sc is bonded to five O atoms to form ScO5 square pyramids that share corners with five ScO6 octahedra, corners with four ScO5 square pyramids, and edges with eight ScO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are four shorter (2.26 Å) and one longer (2.27 Å) Sc–O bond lengths. In the fourteenth Sc site, Sc is bonded to five O atoms to form ScO5 square pyramids that share corners with four ScO6 octahedra, corners with five ScO5 square pyramids, and edges with eight ScO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are one shorter (2.24 Å) and four longer (2.26 Å) Sc–O bond lengths. In the fifteenth Sc site, Sc is bonded to five O atoms to form ScO5 square pyramids that share corners with five ScO6 octahedra, corners with four ScO5 square pyramids, and edges with eight ScO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Sc–O bond distances ranging from 2.25–2.27 Å. In the sixteenth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Sc–O bond distances ranging from 2.23–2.27 Å. In the seventeenth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with four ScO6 octahedra, corners with two ScO5 square pyramids, edges with ten ScO6 octahedra, and edges with two ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Sc–O bond distances ranging from 2.21–2.24 Å. In the eighteenth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Sc–O bond distances ranging from 2.22–2.27 Å. In the nineteenth Sc site, Sc is bonded to five O atoms to form ScO5 square pyramids that share corners with five ScO6 octahedra, corners with four ScO5 square pyramids, and edges with eight ScO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are four shorter (2.26 Å) and one longer (2.27 Å) Sc–O bond lengths. In the twentieth Sc site, Sc is bonded to six O atoms to form ScO6 octahedra that share corners with five ScO6 octahedra, a cornercorner with one ScO5 square pyramid, edges with eight ScO6 octahedra, and edges with four ScO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Sc–O bond distances ranging from 2.22–2.26 Å. There are nineteen inequivalent O sites. In the first O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the third O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fifth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eighth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the eleventh O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the twelfth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the thirteenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourteenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the sixteenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventeenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eighteenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the nineteenth O site, O is bonded to six Sc atoms to form a mixture of corner and edge-sharing OSc6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°.

36 MATERIALS SCIENCE↗

Materials Data on Li24MnCr11O36 by Materials Project

Li24Cr11MnO36 is Caswellsilverite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 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 9–10°. There are a spread of Li–O bond distances ranging from 2.08–2.15 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 two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 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 octahedral tilt angles are 9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are four shorter (2.11 Å) and two longer (2.14 Å) Li–O bond lengths. There are seven inequivalent Cr+4.18+ sites. In the first Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. In the second Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.89–2.02 Å. In the third Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.90–2.03 Å. In the fourth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the fifth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There is two shorter (1.88 Å) and four longer (1.99 Å) Cr–O bond length. In the sixth Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There is four shorter (1.92 Å) and two longer (2.01 Å) Cr–O bond length. In the seventh Cr+4.18+ site, Cr+4.18+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the third O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fifth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the seventeenth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form OLi4MnCr octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of corner and edge-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗

Materials Data on Li24Mn11CrO36 by Materials Project

Li24CrMn11O36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 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 8–9°. There are a spread of Li–O bond distances ranging from 2.08–2.11 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are two shorter (2.03 Å) and four longer (2.17 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 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 8–9°. There are two shorter (2.07 Å) and four longer (2.10 Å) Li–O bond lengths. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.90 Å) and four longer (1.97 Å) Cr–O bond length. There are seven inequivalent Mn+3.82+ sites. In the first Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the second Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the third Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fourth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fifth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Mn–O bond lengths are 1.94 Å. In the sixth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mn–O bond length. In the seventh Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mn–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to four Li1+, one Cr6+, and one Mn+3.82+ atom to form OLi4MnCr octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Cr6+, and one Mn+3.82+ atom to form OLi4MnCr octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth O2- site, O2- is bonded to four Li1+, one Cr6+, and one Mn+3.82+ atom to form OLi4MnCr octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li24Ti11CrO36 by Materials Project

Li24Ti11CrO36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.26 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Ti–O bond lengths are 1.98 Å. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Cr–O bond distances ranging from 1.90–1.99 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the ninth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li24Ti11CrO36 by Materials Project

Li24Ti11CrO36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.06–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are two shorter (2.06 Å) and four longer (2.20 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.04–2.25 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Ti–O bond lengths are 1.98 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Cr–O bond distances ranging from 1.91–1.99 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of corner and edge-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the ninth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the tenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li24Ti11CrO36 by Materials Project

Li24Ti11CrO36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.16 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.12 Å) and two longer (2.15 Å) Li–O bond lengths. There are seven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Ti–O bond lengths are 1.98 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There is two shorter (1.91 Å) and four longer (1.98 Å) Cr–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the tenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form OLi4TiCr octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of corner and edge-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°.

36 MATERIALS SCIENCE↗