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Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–18°. There are a spread of Li–O bond distances ranging from 2.00–2.45 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–16°. There are a spread of Li–O bond distances ranging from 2.02–2.46 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Li–O bond distances ranging from 2.01–2.28 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 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 Li–O bond distances ranging from 2.00–2.27 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–14°. There are a spread of Li–O bond distances ranging from 2.06–2.22 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 two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 2.00–2.39 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Li–O bond distances ranging from 1.95–2.44 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Mn–O bond distances ranging from 1.86–2.01 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–20°. There are a spread of Co–O bond distances ranging from 1.93–2.20 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Co–O bond distances ranging from 1.82–2.19 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Co–O bond distances ranging from 1.81–2.20 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Co–O bond distances ranging from 1.80–2.25 Å. In the fifth Co+2.80+ site, Co+2.80+ 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 3–16°. There are a spread of Co–O bond distances ranging from 1.87–2.15 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–20°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–17°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form distorted OLi3Mn3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 4–17°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 6–17°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–20°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form a mixture of distorted edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–17°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 4–17°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.10–2.41 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 3–6°. There are a spread of Li–O bond distances ranging from 2.10–2.36 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 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 1–5°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 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 2.04–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.15–2.28 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, a cornercorner with one CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.12–2.20 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.01–2.17 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Mn–O bond distances ranging from 1.82–2.12 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ 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 3–6°. There are a spread of Co–O bond distances ranging from 2.02–2.12 Å. In the second Co+2.80+ site, Co+2.80+ 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 1–10°. There are a spread of Co–O bond distances ranging from 2.00–2.05 Å. In the third Co+2.80+ site, Co+2.80+ 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 3–6°. There are a spread of Co–O bond distances ranging from 2.03–2.07 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Co–O bond distances ranging from 1.73–2.03 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 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 1.99–2.20 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°.

36 MATERIALS SCIENCE↗

Materials Data on Fe21Ni9O40 by Materials Project

Fe21Ni9O40 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-one inequivalent Fe+2.95+ sites. In the first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.08 Å. In the second Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the third Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the fourth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the fifth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the sixth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the seventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the eighth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are one shorter (2.04 Å) and five longer (2.06 Å) Fe–O bond lengths. In the ninth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the tenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the eleventh Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.07 Å. In the twelfth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the thirteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fourteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the fifteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.07 Å. In the sixteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.06 Å. In the seventeenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the eighteenth Fe+2.95+ site, Fe+2.95+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are two shorter (2.04 Å) and two longer (2.05 Å) Fe–O bond lengths. In the nineteenth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one FeO4 tetrahedra, corners with five NiO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twentieth Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. In the twenty-first Fe+2.95+ site, Fe+2.95+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six NiO4 tetrahedra and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. There are nine inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are two shorter (2.00 Å) and two longer (2.01 Å) Ni–O bond lengths. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Ni–O bond distances ranging from 2.00–2.02 Å. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the fifth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.03 Å. In the sixth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. In the seventh Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the eighth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Ni–O bond distances ranging from 1.99–2.01 Å. In the ninth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Ni–O bond distances ranging from 1.99–2.02 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the second O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the third O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the ninth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to four Fe+2.95+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe3Ni trigonal pyramids that share corners with eight OFe3Ni trigonal pyramids and edges with three OFe4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded to four Fe+2.95+ atoms to form distorted corner-sharing OFe4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe+2.95+ and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OFe3Ni trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to three Fe+2.95+ and one Ni2+ atom to form distorted OFe

36 MATERIALS SCIENCE↗

Materials Data on Co29O40 by Materials Project

Co29O40 is beta indium sulfide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-nine inequivalent Co+2.76+ sites. In the first Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is one shorter (1.94 Å) and three longer (1.96 Å) Co–O bond length. In the second Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.07 Å. In the third Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.12 Å. In the fourth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the fifth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.96–2.12 Å. In the sixth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. In the seventh Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–2.09 Å. In the eighth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.98–2.06 Å. In the ninth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the tenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the eleventh Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.07 Å. In the twelfth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of Co–O bond distances ranging from 1.95–1.98 Å. In the thirteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.09 Å. In the fourteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.96 Å. In the fifteenth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the sixteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.08 Å. In the seventeenth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the eighteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.08 Å. In the nineteenth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the twentieth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.99–2.06 Å. In the twenty-first Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.07 Å. In the twenty-second Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.07 Å. In the twenty-third Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Co–O bond distances ranging from 1.97–2.00 Å. In the twenty-fourth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.15 Å. In the twenty-fifth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.12 Å. In the twenty-sixth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.96 Å. In the twenty-seventh Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There is three shorter (1.96 Å) and one longer (1.99 Å) Co–O bond length. In the twenty-eighth Co+2.76+ site, Co+2.76+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CoO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. In the twenty-ninth Co+2.76+ site, Co+2.76+ is bonded to four O2- atoms to form corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Co–O bond distances ranging from 1.95–1.99 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the eighth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Co+2.76+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Co+2.76+ atoms to form a mixture of distorted edge and corner-sharing OCo4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+2.76+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-fourth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the thirty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Co+2.76+ atoms. In the thirty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co+2.76+ atoms. In the fortieth O2- site, O2- is bonded to four Co+2.76+ atoms to form distorted corner-sharing OCo4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li14Mn22Cr3Cu3O56 by Materials Project

Li14Cr3Mn22Cu3O56 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with three equivalent CuO6 octahedra, and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 2.00–2.05 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fifth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent CuO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.96–2.03 Å. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three equivalent CuO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent CrO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the ninth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the tenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are three shorter (2.00 Å) and one longer (2.05 Å) Li–O bond lengths. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with two equivalent CuO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the twelfth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the thirteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the fourteenth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with two equivalent CrO6 octahedra, corners with three equivalent CuO6 octahedra, and corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. There are three inequivalent Cr sites. In the first Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.01 Å) and four longer (2.02 Å) Cr–O bond lengths. In the second Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.01 Å) and four longer (2.02 Å) Cr–O bond lengths. In the third Cr site, Cr is bonded to six O atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.03 Å. There are fifteen inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.04 Å. In the second Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fourth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There is two shorter (1.96 Å) and four longer (1.98 Å) Mn–O bond length. In the fifth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the sixth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. In the seventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eighth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the ninth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the tenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.05 Å. In the eleventh Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the twelfth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.05 Å. In the thirteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.94 Å) and four longer (1.95 Å) Mn–O bond length. In the fourteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the fifteenth Mn site, Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one CrO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Cu–O bond distances ranging from 2.06–2.11 Å. In the second Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.07 Å) and four longer (2.09 Å) Cu–O bond lengths. In the third Cu site, Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are two shorter (2.02 Å) and four longer (2.10 Å) Cu–O bond lengths. There are forty-two inequivalent O sites. In the first O site, O is bonded to one Li, one Cr, and two Mn atoms to form a mixture of distorted edge and corner-sharing OLiMn2Cr trigonal pyramids. In the second O site, O is bonded to one Li and three Mn atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, one Cr, one Mn, and one Cu atom. In the fourth O site, O is bonded to one Li, one Cr, and two equivalent Mn atoms to form distorted corner-sharing OLiMn2Cr trigonal pyramids. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two equivalent Mn, and one Cu atom. In the sixth O site, O is bonded to one Li, one Cr, and two equivalent Mn atoms to form a mixture of distorted edge and corner-sharing OLiMn2Cr trigonal pyramids. In the seventh O site, O is bonded to one Li, one Cr, and two Mn atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with seven OLiMn2Cr trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the eighth O site, O is bonded to one Li, one Cr, and two equivalent Mn atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with six OLiMn2Cr trigonal pyramids and edges with three OLiMn3 trigonal pyramids. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Mn atoms. In the tenth O site, O is bonded to one Li, two equivalent Mn, and one Cu atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with three OLiMn2Cr trigonal pyramids, and edges with two equivalent OLiMn2Cu trigonal pyramids. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Mn atoms. In the twelfth O site, O is bonded to one Li, two Mn, and one Cu atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with three OLiMn2Cr trigonal pyramids, and edges with two OLiMn2Cu trigonal pyramids. In t

36 MATERIALS SCIENCE↗

Materials Data on Li24Mn7Cr5O36 by Materials Project

Li24Cr5Mn7O36 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four 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 two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two 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 2.04–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the third 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 2.08–2.13 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 two equivalent CrO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.12 Å. In the fifth 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, 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 8–9°. There are a spread of Li–O bond distances ranging from 2.05–2.22 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 two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 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 MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 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 2.04–2.21 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 two CrO6 octahedra, corners with two 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 2.04–2.20 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 two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 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 2.06–2.19 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 three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.07–2.13 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 two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 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 2.04–2.20 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 two CrO6 octahedra, corners with two 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 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. 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 two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 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 2.06–2.19 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two 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 2.06–2.22 Å. In the fifteenth 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 two CrO6 octahedra, edges with two MnO6 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 2.05–2.23 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.13 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two MnO6 octahedra, edges with two CrO6 octahedra, edges with two MnO6 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 2.04–2.20 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two CrO6 octahedra, corners with two 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 7–11°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the twentieth 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 two CrO6 octahedra, edges with two MnO6 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 2.06–2.22 Å. In the twenty-first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.13 Å. In the twenty-second 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, 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 2.04–2.20 Å. In the twenty-third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, edges with three MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.07–2.13 Å. In the twenty-fourth 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 two CrO6 octahedra, edges with two MnO6 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 2.05–2.23 Å. There are five inequivalent Cr+5.80+ sites. In the first Cr+5.80+ site, Cr+5.80+ 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 are a spread of Cr–O bond distances ranging from 1.90–1.99 Å. In the second Cr+5.80+ site, Cr+5.80+ 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 7–9°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the third Cr+5.80+ site, Cr+5.80+ 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 octahedral tilt angles are 8°. There are a spread of Cr–O bond distances ranging from 1.90–1.99 Å. In the fourth Cr+5.80+ site, Cr+5.80+ 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 7–9°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the fifth Cr+5.80+ site, Cr+5.80+ 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 are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. There are seven inequivalent Mn+2.71+ sites. In the first Mn+2.71+ site, Mn+2.71+ 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 octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the second Mn+2.71+ site, Mn+2.7

36 MATERIALS SCIENCE↗

Materials Data on Li10Fe9CoO20 by Materials Project

Li10Fe9CoO20 is alpha Po-derived structured and crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are two shorter (2.13 Å) and four longer (2.24 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 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 5–8°. There are a spread of Li–O bond distances ranging from 2.12–2.19 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five FeO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Li–O bond distances ranging from 2.15–2.26 Å. In the fourth 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 octahedra tilt angles range from 4–5°. There are five shorter (2.17 Å) and one longer (2.19 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. All Li–O bond lengths are 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 six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are five shorter (2.17 Å) and one longer (2.18 Å) Li–O bond lengths. There are five 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 six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Fe–O bond distances ranging from 2.05–2.07 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Fe–O bond distances ranging from 2.03–2.08 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 octahedra tilt angles range from 4–5°. There are five shorter (2.05 Å) and one longer (2.06 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 six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. All Fe–O bond lengths are 2.05 Å. In the fifth 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°. All Fe–O bond lengths are 2.05 Å. 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 equivalent FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There is two shorter (1.97 Å) and four longer (1.99 Å) Co–O bond length. There are ten inequivalent O2- sites. In the first 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 0–2°. In the second 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 0–1°. In the third O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of corner and edge-sharing OLi3Fe3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of corner and edge-sharing OLi3Fe3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of corner and edge-sharing OLi3Fe3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of corner and edge-sharing OLi3Fe3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of corner and edge-sharing OLi3Fe3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Li24Ti7Cr5O36 by Materials Project

Li24Ti7Cr5O36 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four 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 two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.04–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.06–2.20 Å. In the third 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 2.09–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.15 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 two TiO6 octahedra, edges with two 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 2.09–2.24 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 two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.07–2.20 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 two TiO6 octahedra, edges with two 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 2.06–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 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 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. 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 two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 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 two CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.11–2.15 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 two TiO6 octahedra, edges with two CrO6 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 2.06–2.27 Å. In the twelfth 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 two TiO6 octahedra, edges with two 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 2.10–2.22 Å. 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 two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two 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 2.08–2.27 Å. In the fourteenth 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, 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 2.09–2.23 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.29 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, edges with three CrO6 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 2.09–2.14 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 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 2.05–2.28 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.05–2.27 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 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 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.28 Å. In the twentieth 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 two TiO6 octahedra, edges with two CrO6 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 2.10–2.21 Å. In the twenty-first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.09–2.15 Å. In the twenty-second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 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 2.04–2.22 Å. In the twenty-third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, edges with three CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 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 2.08–2.22 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 CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ti–O bond distances ranging from 1.94–2.00 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 CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 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 octahedra tilt angles range from 6–8°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 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 TiO6 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 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, an edgeedge with one TiO6 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 Ti–O bond distances ranging from 1.96–2.02 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 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 Ti–O bond distances ranging from 1.94–2.03 Å. In the s

36 MATERIALS SCIENCE↗

Materials Data on Li24Ti5Cr7O36 by Materials Project

Li24Ti5Cr7O36 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with two TiO6 octahedra, edges with two 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 2.04–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.07–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.09–2.13 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 two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.14 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 two TiO6 octahedra, edges with two 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 2.05–2.24 Å. In the sixth 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, an edgeedge with one TiO6 octahedra, edges with three 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 2.08–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 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, an edgeedge with one TiO6 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 2.04–2.21 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 two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.09–2.21 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 three TiO6 octahedra, edges with three CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.09–2.13 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 two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.04–2.23 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with two TiO6 octahedra, edges with two 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 2.07–2.21 Å. In the thirteenth 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, an edgeedge with one TiO6 octahedra, edges with three 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 2.09–2.20 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 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 2.07–2.28 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.09–2.22 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, edges with three CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.07–2.25 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 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 2.04–2.21 Å. In the nineteenth 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, an edgeedge with one TiO6 octahedra, edges with three CrO6 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 2.08–2.22 Å. In the twentieth 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 two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the twenty-first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the twenty-second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the twenty-third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with two TiO6 octahedra, edges with two CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 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 CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 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 CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 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 CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. There are seven inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with 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 1.93–2.0

36 MATERIALS SCIENCE↗

Materials Data on Li(CoO2)2 by Materials Project

Li(CoO2)2 is Spinel structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There is two shorter (1.93 Å) and two longer (1.95 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is two shorter (1.93 Å) and two longer (1.95 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.92–1.95 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.92–1.96 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There is three shorter (1.94 Å) and one longer (1.95 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.92–1.95 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. There are sixteen inequivalent Co+3.50+ sites. In the first Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.92 Å. In the second Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the third Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the fourth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the fifth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the sixth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.95 Å. In the seventh Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. In the eighth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the ninth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the tenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the eleventh Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the twelfth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.93 Å. In the thirteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the fourteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–1.93 Å. In the fifteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.96 Å. In the sixteenth Co+3.50+ site, Co+3.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.95 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+3.50+ atoms. In the thirty-second O2- site, O2- is bonded to one Li1+ and three Co+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiCo3 trigonal pyramids.

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 Li24MnCr11O36 by Materials Project

Li24Cr11MnO36 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 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 octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.09 Å) and two longer (2.13 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 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 6–9°. There are a spread of Li–O bond distances ranging from 2.07–2.19 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 MnO6 octahedra, edges with five CrO6 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 2.09–2.14 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, 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 2.06–2.20 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 CrO6 octahedra, edges with four CrO6 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 2.06–2.20 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 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.25 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 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 2.06–2.20 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 MnO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.15 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, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the eleventh 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 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.19 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 CrO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. 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 CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. 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 7–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 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 6–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 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 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–2.00 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, 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 1.89–2.02 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, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Cr–O bond distances ranging from 1.88–2.01 Å. 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 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. 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 6–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.01 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 octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 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 a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form a mixture of edge and corner-sharing 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 Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the sixth 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 1–9°. 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 OLi4MnCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighth O2- site, O2- is bonded to four Li1+, one Cr+4.18+, and one Mn2+ atom to form a mixture of edge and corner-sharing OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth 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 0–9°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the thirteenth 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 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 OLi4Cr2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fifteenth 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 sixteenth 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 0–8°. In the seventeenth O2- site, O2- is bonded to four Li1+ and two Cr+4.18+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the eighteenth 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°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.20 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 two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.12–2.29 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.13–2.37 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Li–O bond distances ranging from 2.09–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.08–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–14°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.02–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.07–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.09–2.13 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Mn–O bond distances ranging from 1.95–2.18 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.96–2.18 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ 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 2–7°. There are a spread of Co–O bond distances ranging from 1.98–2.12 Å. In the second Co+2.80+ site, Co+2.80+ 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 equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Co–O bond distances ranging from 1.93–2.17 Å. In the third Co+2.80+ site, Co+2.80+ 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 equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.98–2.14 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Co–O bond distances ranging from 1.80–1.94 Å. In the fifth Co+2.80+ site, Co+2.80+ 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 2–8°. There are a spread of Co–O bond distances ranging from 2.01–2.12 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the sixteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Li–O bond distances ranging from 2.05–2.26 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 4–9°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the sixth 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 MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.07–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.07–2.36 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 1.99–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.02–2.25 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.84–2.02 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mn–O bond distances ranging from 1.94–2.22 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Co–O bond distances ranging from 1.72–2.18 Å. In the second Co+2.80+ site, Co+2.80+ 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 1.93–2.11 Å. In the third Co+2.80+ site, Co+2.80+ 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 4–6°. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Co–O bond distances ranging from 1.92–2.12 Å. In the fifth Co+2.80+ site, Co+2.80+ 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 MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.89–2.18 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. In the second O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form distorted OLi5Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ 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 Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the seventh O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the ninth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.07–2.37 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 equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.00–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.12–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with three CoO6 octahedra, edges with three MnO6 octahedra, edges with three 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 2.08–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Li–O bond distances ranging from 2.04–2.43 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 five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.12–2.20 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 equivalent LiO6 octahedra, corners with three CoO6 octahedra, edges with five CoO6 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 2.04–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 2.03–2.28 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.94–2.20 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mn–O bond distances ranging from 1.84–2.03 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ 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 1–8°. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. In the second Co+2.80+ site, Co+2.80+ 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 4–9°. There are a spread of Co–O bond distances ranging from 1.95–2.12 Å. In the third Co+2.80+ site, Co+2.80+ 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 1.89–2.18 Å. In the fourth Co+2.80+ site, Co+2.80+ 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 1.93–2.12 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 1.74–2.23 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the sixth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.11–2.23 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 two equivalent MnO6 octahedra, edges with two CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Li–O bond distances ranging from 2.11–2.34 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Li–O bond distances ranging from 2.11–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four 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 2.11–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.09–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent CoO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Li–O bond distances ranging from 2.03–2.28 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mn–O bond distances ranging from 1.97–2.23 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ 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 1.99–2.10 Å. In the second Co+2.80+ site, Co+2.80+ 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 equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Co–O bond distances ranging from 1.94–2.20 Å. In the third Co+2.80+ site, Co+2.80+ 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 equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 2.00–2.13 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Co–O bond distances ranging from 1.80–1.94 Å. In the fifth Co+2.80+ site, Co+2.80+ 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 3–6°. There are four shorter (2.01 Å) and two longer (2.09 Å) Co–O bond lengths. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the ninth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form a mixture of distorted edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.11–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.10–2.39 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.01–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with 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 2.11–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 1.99–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.08–2.43 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with five CoO6 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 2.02–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two CoO6 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 2.04–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Mn–O bond distances ranging from 1.94–2.24 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mn–O bond distances ranging from 1.83–2.04 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ 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 5–8°. There are a spread of Co–O bond distances ranging from 1.92–2.21 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.92–2.19 Å. In the third Co+2.80+ site, Co+2.80+ 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 4–9°. There are a spread of Co–O bond distances ranging from 1.91–2.19 Å. In the fourth Co+2.80+ site, Co+2.80+ 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 5–8°. There are a spread of Co–O bond distances ranging from 1.91–2.19 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.74–2.24 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the third O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form OLi5Mn octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ 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 four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the fifteenth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.09–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.01–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Li–O bond distances ranging from 2.01–2.36 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with three MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Li–O bond distances ranging from 2.09–2.36 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 five CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–12°. There are a spread of Li–O bond distances ranging from 2.10–2.19 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, a cornercorner with one MnO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.06–2.23 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Mn–O bond distances ranging from 1.83–2.02 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ 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 4–8°. There are a spread of Co–O bond distances ranging from 2.07–2.12 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Co–O bond distances ranging from 1.75–2.20 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Co–O bond distances ranging from 1.87–2.15 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.91–2.17 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Co–O bond distances ranging from 1.87–2.15 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the second O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the third O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co+2.80+ atom to form OLi5Co octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi5Mn octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn+4.50+ atom to form a mixture of corner and edge-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two equivalent Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. In the thirteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form OLi3Mn2Co octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 3–7°. In the fifteenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two equivalent Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°.

36 MATERIALS SCIENCE↗