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At least 793 records · Page 44

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived 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 six O2- atoms to form 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 4–12°. There are a spread of Li–O bond distances ranging from 2.13–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three 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 6–9°. There are a spread of Li–O bond distances ranging from 2.07–2.25 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three 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 5–15°. There are a spread of Li–O bond distances ranging from 2.01–2.48 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 4–9°. 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 a cornercorner with one LiO6 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 5–11°. There are a spread of Li–O bond distances ranging from 1.98–2.30 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 two equivalent MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–12°. There are a spread of Li–O bond distances ranging from 2.00–2.34 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Mn–O bond distances ranging from 1.82–2.02 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Mn–O bond distances ranging from 1.96–2.25 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 5–11°. There are a spread of Co–O bond distances ranging from 1.89–2.26 Å. In the second Co4+ site, Co4+ 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 4–9°. There are a spread of Co–O bond distances ranging from 1.91–2.24 Å. In the third Co4+ site, Co4+ 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 6–11°. There are a spread of Co–O bond distances ranging from 1.92–2.10 Å. In the fourth Co4+ site, Co4+ 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 6–10°. There are a spread of Co–O bond distances ranging from 1.75–2.21 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to three Li1+ and three Co4+ 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 1–7°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ 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 1–6°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ 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 2–8°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ 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 1–8°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the tenth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co4+ 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 1–7°. In the fourteenth O2- site, O2- is bonded to five Li1+ and one Mn2+ 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 3–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived 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 six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, edges with two 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 2.10–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three 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 4–9°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one 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 5–12°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five CoO6 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 4–11°. There are a spread of Li–O bond distances ranging from 2.01–2.14 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 CoO6 octahedra, corners with three MnO6 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 2.02–2.28 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 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 2.10–2.23 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 two equivalent MnO6 octahedra, corners with two CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.05–2.29 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three 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 2.03–2.15 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mn–O bond distances ranging from 1.89–1.98 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There is two shorter (1.91 Å) and four longer (1.97 Å) Mn–O bond length. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Co–O bond distances ranging from 1.91–2.14 Å. In the second Co4+ site, Co4+ 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 4–9°. There are a spread of Co–O bond distances ranging from 1.90–2.14 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 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 6–10°. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 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 4–9°. There are a spread of Co–O bond distances ranging from 1.93–2.12 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the third O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the eighth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the eleventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the thirteenth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived 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 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 5–7°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share 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 5–9°. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the third 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 2–10°. There are a spread of Li–O bond distances ranging from 2.08–2.32 Å. In the fourth 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 four 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 2.07–2.30 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 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, 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 3–9°. There are a spread of Li–O bond distances ranging from 1.98–2.22 Å. In the seventh 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 2–12°. There are a spread of Li–O bond distances ranging from 2.04–2.43 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 1.99–2.28 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent 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 1.95–2.21 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with 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 four inequivalent Co4+ sites. In the first Co4+ site, Co4+ 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 1.94–2.10 Å. In the second Co4+ site, Co4+ 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 1.95–2.11 Å. In the third Co4+ site, Co4+ 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 3–8°. There are a spread of Co–O bond distances ranging from 1.92–2.19 Å. In the fourth Co4+ site, Co4+ 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 fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded to three Li1+ and three Co4+ 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 2–8°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Mn2+ 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 2–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fifth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ 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 1–6°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi5Co octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the tenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ 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 2–9°. In the twelfth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–10°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived 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 six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five 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 7–10°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four 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 6–11°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three MnO6 octahedra, corners with three CoO6 octahedra, edges with four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 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 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.27 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 MnO6 octahedra, corners with three CoO6 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 1–10°. There are a spread of Li–O bond distances ranging from 2.08–2.19 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three MnO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.36 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 two equivalent LiO6 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 7–10°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with four CoO6 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 2.09–2.14 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, 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 0–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.91–2.15 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Co–O bond distances ranging from 1.95–2.12 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two 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 Co–O bond distances ranging from 1.89–2.16 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.92–2.11 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the second O2- site, O2- is bonded to four Li1+ and two Mn2+ atoms to form OLi4Mn2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. In the third O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fourth O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the eighth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eleventh O2- site, O2- is bonded to three Li1+, two Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the twelfth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Co4+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the fourteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li15Bi4(PdO10)2 by Materials Project

Li15Bi4(PdO10)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.73 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two BiO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two BiO6 octahedra, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 9–11°. There are a spread of Li–O bond distances ranging from 2.09–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with three BiO6 octahedra, edges with five LiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 1.99–2.42 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with four LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with three BiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 13°. There are a spread of Li–O bond distances ranging from 2.00–2.41 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with three BiO6 octahedra, edges with five LiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.04–2.64 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two BiO6 octahedra, corners with four LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with two BiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–17°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with three BiO6 octahedra, edges with six LiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.13–2.44 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with three LiO6 octahedra, edges with three BiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–15°. There are a spread of Li–O bond distances ranging from 2.00–2.47 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with four LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with three BiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Li–O bond distances ranging from 2.01–2.35 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with three LiO6 octahedra, edges with three BiO6 octahedra, edges with five LiO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Li–O bond distances ranging from 2.04–2.70 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with three LiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with three BiO6 octahedra, edges with five LiO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Li–O bond distances ranging from 2.05–2.52 Å. In the twelfth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two BiO6 octahedra, corners with three LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, edges with two BiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–20°. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the thirteenth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two BiO6 octahedra, corners with four LiO5 trigonal bipyramids, edges with two BiO6 octahedra, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with three BiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.05–2.59 Å. In the fifteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.68 Å. There are two inequivalent Pd4+ sites. In the first Pd4+ site, Pd4+ is bonded in a square co-planar geometry to four O2- atoms. There are a spread of Pd–O bond distances ranging from 1.96–2.06 Å. In the second Pd4+ site, Pd4+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Pd–O bond distances ranging from 1.96–2.07 Å. There are four inequivalent Bi+4.25+ sites. In the first Bi+4.25+ site, Bi+4.25+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with two LiO6 octahedra, corners with two equivalent BiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with three LiO6 octahedra, and edges with five LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Bi–O bond distances ranging from 2.06–2.22 Å. In the second Bi+4.25+ site, Bi+4.25+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent BiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with six LiO6 octahedra, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of Bi–O bond distances ranging from 2.06–2.24 Å. In the third Bi+4.25+ site, Bi+4.25+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent BiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with six LiO6 octahedra, and edges with four LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–17°. There are a spread of Bi–O bond distances ranging from 2.08–2.22 Å. In the fourth Bi+4.25+ site, Bi+4.25+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with two LiO6 octahedra, corners with two equivalent BiO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with three LiO6 octahedra, and edges with five LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Bi–O bond distances ranging from 2.06–2.22 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Pd4+, and one Bi+4.25+ atom to form OLi3BiPd trigonal bipyramids that share corners with five OLi4BiPd octahedra, a cornercorner with one OLi4Bi square pyramid, edges with four OLi4BiPd octahedra, and an edgeedge with one OLi3Bi2 square pyramid. The corner-sharing octahedra tilt angles range from 2–27°. In the second O2- site, O2- is bonded to four Li1+, one Pd4+, and one Bi+4.25+ atom to form distorted OLi4BiPd octahedra that share corners with four OLi4BiPd octahedra, edges with nine OLi4Bi2 octahedra, and an edgeedge with one OLi3BiPd trigonal bipyramid. The corner-sharing octahedra tilt angles range from 3–22°. In the third O2- site, O2- is bonded to five Li1+ and one Bi+4.25+ atom to form OLi5Bi octahedra that share corners with five OLi4Bi2 octahedra, edges with eleven OLi4Bi2 octahedra, and an edgeedge with one OLi4Bi square pyramid. The corner-sharing octahedra tilt angles range from 3–19°. In the fourth O2- site, O2- is bonded to five Li1+ and one Bi+4.25+ atom to form OLi5Bi octahedra that share corners with five OLi5Bi octahedra, a cornercorner with one OLi3BiPd trigonal bipyramid, edges with eight OLi5Bi octahedra, and edges with three OLi3Bi2 square pyramids. The corner-sharing octahedra tilt angles range from 3–14°. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Pd4+, and one Bi+4.25+ atom. In the sixth O2- site, O2- is bonded to five Li1+ and one Bi+4.25+ atom to form distorted OLi5Bi octahedra that share corners with four OLi4Bi2 octahedra, a cornercorner with one OLi4Bi square pyramid, edges with ten OLi4BiPd octahedra, and edges with two OLi3Bi2 square pyramids. The corner-sharing octahedra tilt angles range from 10–19°. In the seventh O2- site, O2- is bonded to four Li1+ and two Bi+4.25+ atoms to form OLi4Bi2 octahedra that share corners with four OLi4BiPd octahedra, corners with two equivalent OLi3Bi2 square pyramids, edges with six OLi4BiPd octahedra, an edgeedge with one OLi4Bi square pyramid, and an edgeedge with one OLi3BiPd trigonal bipyramid. The corner-sharing octahedra tilt angles range from 9–14°. In the eighth O2- site, O2- is bonded to four Li1+, one Pd4+, and one Bi+4.25+ atom to form OLi4BiPd octahedra that share corners with five OLi4Bi2 octahedra, a cornercorner with one OLi3BiPd trigonal bipyramid, edges with seven OLi4BiPd octahedra, and an edgeedge with one OLi3BiPd trigonal bipyramid. The corner-sharing octahedra tilt angles range from 8–20°. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Pd4+, and one Bi+4.25+ atom. In the tenth O2- site, O2- is bonded to five Li1+ and one Bi+4.25+ atom to form OLi5Bi octahedra that share corners with five OLi5Bi octahedra and edges with twelve OLi4BiPd octahedra. The corner-sharing octahedra tilt angles range from 7–20°. In the eleventh O2- site, O2- is bonded to five Li1+ and one Bi+4.25+ atom to form OLi5Bi octahedra that share corners with two OLi4Bi2 octahedra, corners with two equivalent OLi4Bi square pyramids, edges with nine OLi4BiPd octahedra, and an edgeedge with one OLi3Bi2 square pyramid. The corner-sharing octahedra tilt angles range from 3–6°. In the twelfth O2- site, O2- is bonded to four Li1+, one Pd4+, and one Bi+4.25+ atom to form distorted OLi4BiPd octahedra that share corners with four OLi5Bi octahedra and edges with ten OLi4BiPd octahedra. The corner-sharing octahedra tilt angles range from 3–22°. In the thirteenth O2- site, O2- is bonded to four Li1+, one Pd4+, and one Bi+4.25+ atom to form OLi4BiPd octahedra that share corners with four OLi4Bi2 octahedra, corners wi

36 MATERIALS SCIENCE↗

Materials Data on LiAlO2 by Materials Project

LiAlO2 crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.95 Å) and two longer (2.30 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 two AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 1.96–2.33 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Li–O bond distances ranging from 1.95–2.46 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are four shorter (1.96 Å) and two longer (2.32 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 two AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Li–O bond distances ranging from 1.96–2.34 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Li–O bond distances ranging from 1.95–2.46 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four equivalent LiO6 octahedra, and edges with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are four shorter (1.96 Å) and two longer (2.31 Å) Li–O bond lengths. There are seven inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.87–2.12 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.89–1.96 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.90 Å) and four longer (1.95 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four equivalent AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There is two shorter (1.89 Å) and four longer (1.96 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five AlO6 octahedra, edges with four AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There are a spread of Al–O bond distances ranging from 1.87–2.12 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent AlO6 octahedra, edges with four equivalent AlO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. There is two shorter (1.91 Å) and four longer (1.96 Å) Al–O bond length. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the second O2- site, O2- is bonded to two equivalent Li1+ and four Al3+ atoms to form OLi2Al4 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the fourth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the fifth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the sixth O2- site, O2- is bonded to four Li1+ and two equivalent Al3+ atoms to form a mixture of edge and corner-sharing OLi4Al2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the eighth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the ninth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form distorted OLi3Al3 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the tenth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form distorted OLi3Al3 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. The O–Li bond length is 2.46 Å. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Al3+ atoms to form distorted OLi3Al3 octahedra that share corners with six OLi2Al4 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 0–13°. The O–Al bond length is 1.87 Å.

36 MATERIALS SCIENCE↗

Materials Data on Fe3(CuS5)2 by Materials Project

Fe3(CuS5)2 is pyrite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the second Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the third Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the fourth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.30 Å. In the fifth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four CuS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 60–67°. There are a spread of Fe–S bond distances ranging from 2.26–2.34 Å. In the sixth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 61–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.31 Å. In the seventh Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.25–2.35 Å. In the eighth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.25–2.35 Å. In the ninth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four CuS6 octahedra and corners with eight FeS6 octahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the tenth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four FeS6 octahedra, corners with eight CuS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are two shorter (2.25 Å) and four longer (2.28 Å) Fe–S bond lengths. In the eleventh Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with six FeS6 octahedra, corners with six CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.26–2.33 Å. In the twelfth Fe3+ site, Fe3+ is bonded to six S+1.20- atoms to form FeS6 octahedra that share corners with four FeS6 octahedra, corners with eight CuS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Fe–S bond distances ranging from 2.22–2.32 Å. There are eight inequivalent Cu+1.50+ sites. In the first Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and a cornercorner with one SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 64–68°. There are a spread of Cu–S bond distances ranging from 2.38–2.47 Å. In the second Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Cu–S bond distances ranging from 2.39–2.48 Å. In the third Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four equivalent CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–70°. There are a spread of Cu–S bond distances ranging from 2.39–2.48 Å. In the fourth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are four shorter (2.39 Å) and two longer (2.46 Å) Cu–S bond lengths. In the fifth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 64–69°. There are a spread of Cu–S bond distances ranging from 2.37–2.47 Å. In the sixth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with two equivalent CuS6 octahedra, corners with ten FeS6 octahedra, and corners with two SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Cu–S bond distances ranging from 2.36–2.47 Å. In the seventh Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four CuS6 octahedra, corners with eight FeS6 octahedra, and corners with three SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 63–69°. There are a spread of Cu–S bond distances ranging from 2.38–2.48 Å. In the eighth Cu+1.50+ site, Cu+1.50+ is bonded to six S+1.20- atoms to form CuS6 octahedra that share corners with four equivalent CuS6 octahedra, corners with eight FeS6 octahedra, and corners with four SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 63–70°. There are four shorter (2.39 Å) and two longer (2.46 Å) Cu–S bond lengths. There are forty inequivalent S+1.20- sites. In the first S+1.20- site, S+1.20- is bonded in a 3-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.20 Å. In the second S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.15 Å. In the third S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.17 Å. In the fourth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.20 Å. In the fifth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.14 Å. In the sixth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to three Fe3+ and one S+1.20- atom. The S–S bond length is 2.20 Å. In the seventh S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with six SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. The S–S bond length is 2.09 Å. In the eighth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.14 Å. In the ninth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.16 Å. In the tenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.11 Å. In the eleventh S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to three Fe3+ and one S+1.20- atom. The S–S bond length is 2.19 Å. In the twelfth S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with two SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 72–81°. The S–S bond length is 2.11 Å. In the thirteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.10 Å. In the fourteenth S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with three SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 70–79°. The S–S bond length is 2.07 Å. In the fifteenth S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with seven SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 69–80°. The S–S bond length is 2.08 Å. In the sixteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.16 Å. In the seventeenth S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and a cornercorner with one SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 72–81°. The S–S bond length is 2.11 Å. In the eighteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.15 Å. In the nineteenth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.12 Å. In the twentieth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to one Fe3+, two Cu+1.50+, and one S+1.20- atom. The S–S bond length is 2.09 Å. In the twenty-first S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. In the twenty-second S+1.20- site, S+1.20- is bonded to one Fe3+, two Cu+1.50+, and one S+1.20- atom to form distorted SFeCu2S tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with three SFeCu2S tetrahedra. The corner-sharing octahedra tilt angles range from 70–79°. In the twenty-third S+1.20- site, S+1.20- is bonded to two Fe3+, one Cu+1.50+, and one S+1.20- atom to form distorted SFe2CuS tetrahedra that share a cornercorner with one FeS6 octahedra, corners with two CuS6 octahedra, and corners with two SFe2CuS tetrahedra. The corner-sharing octahedra tilt angles range from 72–82°. In the twenty-fourth S+1.20- site, S+1.20- is bonded in a 4-coordinate geometry to two Fe3+, one Cu+1.50+, and one S+1.20- atom. In the tw

36 MATERIALS SCIENCE↗

Materials Data on Mn27Sb26 by Materials Project

Mn27Sb26 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-seven inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.84 Å. In the second Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are one shorter (2.74 Å) and five longer (2.75 Å) Mn–Sb bond lengths. In the third Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are one shorter (2.75 Å) and five longer (2.76 Å) Mn–Sb bond lengths. In the fourth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.75 Å. In the fifth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.77 Å. In the sixth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.75 Å. In the seventh Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.76 Å. In the eighth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Mn–Sb bond distances ranging from 2.64–2.76 Å. In the ninth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Mn–Sb bond distances ranging from 2.63–2.75 Å. In the tenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are one shorter (2.74 Å) and five longer (2.75 Å) Mn–Sb bond lengths. In the eleventh Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are four shorter (2.74 Å) and two longer (2.76 Å) Mn–Sb bond lengths. In the twelfth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.77 Å. In the thirteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.78 Å. In the fourteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Mn–Sb bond distances ranging from 2.65–2.76 Å. In the fifteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Mn–Sb bond distances ranging from 2.66–2.76 Å. In the sixteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.82 Å. In the seventeenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Mn–Sb bond distances ranging from 2.72–2.82 Å. In the eighteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Mn–Sb bond distances ranging from 2.66–2.76 Å. In the nineteenth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Mn–Sb bond distances ranging from 2.65–2.76 Å. In the twentieth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–Sb bond distances ranging from 2.75–2.77 Å. In the twenty-first Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.77 Å. In the twenty-second Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, a cornercorner with one MnSb5 trigonal bipyramid, edges with six MnSb6 octahedra, and faces with two MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–Sb bond distances ranging from 2.74–2.77 Å. In the twenty-third Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form a mixture of edge, corner, and face-sharing MnSb6 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are two shorter (2.74 Å) and four longer (2.75 Å) Mn–Sb bond lengths. In the twenty-fourth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Mn–Sb bond distances ranging from 2.72–2.85 Å. In the twenty-fifth Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.82 Å. In the twenty-sixth Mn2+ site, Mn2+ is bonded to five Sb+2.08- atoms to form a mixture of corner and face-sharing MnSb5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Mn–Sb bond distances ranging from 2.52–2.73 Å. In the twenty-seventh Mn2+ site, Mn2+ is bonded to six Sb+2.08- atoms to form MnSb6 octahedra that share corners with twelve MnSb6 octahedra, edges with six MnSb6 octahedra, faces with two MnSb6 octahedra, and a faceface with one MnSb5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Mn–Sb bond distances ranging from 2.73–2.83 Å. There are twenty-six inequivalent Sb+2.08- sites. In the first Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the second Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the third Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fourth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fifth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the sixth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the seventh Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the eighth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the ninth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the tenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the eleventh Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twelfth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the thirteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fourteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the fifteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the sixteenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the seventeenth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the eighteenth Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the nineteenth Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the twentieth Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the twenty-first Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-second Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-third Sb+2.08- site, Sb+2.08- is bonded in a 7-coordinate geometry to seven Mn2+ atoms. In the twenty-fourth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-fifth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to six Mn2+ atoms. In the twenty-sixth Sb+2.08- site, Sb+2.08- is bonded in a 6-coordinate geometry to si

36 MATERIALS SCIENCE↗

Materials Data on Na2Nb18Tl7(PO8)9 by Materials Project

Na2Nb18Tl5(PO8)9(Tl)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of two thallium molecules and one Na2Nb18Tl5(PO8)9 framework. In the Na2Nb18Tl5(PO8)9 framework, there are two inequivalent Na sites. In the first Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.48–2.53 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.47–2.52 Å. There are eighteen inequivalent Nb sites. In the first Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–39°. There are a spread of Nb–O bond distances ranging from 1.89–2.17 Å. In the second Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 9–37°. There are a spread of Nb–O bond distances ranging from 1.89–2.17 Å. In the third Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–36°. There are a spread of Nb–O bond distances ranging from 1.90–2.17 Å. In the fourth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–34°. There are a spread of Nb–O bond distances ranging from 1.87–2.16 Å. In the fifth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–36°. There are a spread of Nb–O bond distances ranging from 1.88–2.16 Å. In the sixth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–39°. There are a spread of Nb–O bond distances ranging from 1.86–2.13 Å. In the seventh Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–32°. There are a spread of Nb–O bond distances ranging from 1.88–2.16 Å. In the eighth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–34°. There are a spread of Nb–O bond distances ranging from 1.86–2.18 Å. In the ninth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–37°. There are a spread of Nb–O bond distances ranging from 1.89–2.13 Å. In the tenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 1–37°. There are a spread of Nb–O bond distances ranging from 1.85–2.18 Å. In the eleventh Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 2–38°. There are a spread of Nb–O bond distances ranging from 1.87–2.15 Å. In the twelfth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–34°. There are a spread of Nb–O bond distances ranging from 1.89–2.17 Å. In the thirteenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–37°. There are a spread of Nb–O bond distances ranging from 1.86–2.17 Å. In the fourteenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–37°. There are a spread of Nb–O bond distances ranging from 1.87–2.17 Å. In the fifteenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–38°. There are a spread of Nb–O bond distances ranging from 1.89–2.11 Å. In the sixteenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 4–37°. There are a spread of Nb–O bond distances ranging from 1.88–2.13 Å. In the seventeenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–37°. There are a spread of Nb–O bond distances ranging from 1.86–2.17 Å. In the eighteenth Nb site, Nb is bonded to six O atoms to form NbO6 octahedra that share corners with four NbO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 5–34°. There are a spread of Nb–O bond distances ranging from 1.88–2.13 Å. There are five inequivalent Tl sites. In the first Tl site, Tl is bonded in a single-bond geometry to one O atom. The Tl–O bond length is 2.81 Å. In the second Tl site, Tl is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Tl–O bond distances ranging from 2.53–2.78 Å. In the third Tl site, Tl is bonded in a 1-coordinate geometry to one O atom. The Tl–O bond length is 2.66 Å. In the fourth Tl site, Tl is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Tl–O bond distances ranging from 2.82–2.85 Å. In the fifth Tl site, Tl is bonded in a 1-coordinate geometry to four O atoms. There are a spread of Tl–O bond distances ranging from 2.76–2.93 Å. There are nine inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 33–40°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–44°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–47°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are seventy-two inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Na, one Nb, and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the third O site, O is bonded in a 3-coordinate geometry to one Na, one Nb, and one P atom. In the fourth O site, O is bonded in a 2-coordinate geometry to one Nb, one Tl, and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the tenth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the eleventh O site, O is bonded in a linear geometry to two Nb atoms. In the twelfth O site, O is bonded in a distorted bent 150 degrees geometry to one Nb, one Tl, and one P atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Nb, one Tl, and one P atom. In the fourteenth O site, O is bonded in a distorted bent 150 degrees geometry to two Nb and one Tl atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Nb, and one P atom. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the seventeenth O site, O is bonded in a distorted bent 150 degrees geometry to one Nb and one P atom. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one Na, one Nb, and one P atom. In the nineteenth O site, O is bonded in a linear geometry to two Nb atoms. In the twentieth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-second O site, O is bonded in a distorted bent 150 degrees geometry to one Nb and one P atom. In the twenty-third O site, O is bonded in a linear geometry to two Nb atoms. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-fifth O site, O is bonded in a 3-coordinate geometry to one Na, one Nb, and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the twenty-eighth O site, O is bonded in a bent 150 degrees geometry to one Nb and one P atom. In the twenty-ninth O site, O is bonded in a distorted bent 150 degrees geometry to two Nb and one Tl atom. In the thirtieth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the thirty-first O site, O is bonded in a distorted bent 150 degrees geometry to two Nb atoms. In the thirty-second O site, O is bonded in a linear geometry to two Nb atoms. In the thirty-third O site, O is bonded in a 2-coordinate geometry to one Nb, one Tl, and one P atom. In the thirty-fourth O site, O is bonded in a 2-coordinate geometry to one Nb, one Tl, and one P atom. In the thirty-fifth O site, O is bonded in a bent 150 degrees geometry to two Nb atoms. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one Na, one Nb,

36 MATERIALS SCIENCE↗

Materials Data on La7Ti27Al5(CuO4)24 by Materials Project

La7Ti27Al5(CuO4)24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent La sites. In the first La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with three AlO6 octahedra and faces with five TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.59–2.67 Å. In the second La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with three AlO6 octahedra and faces with five TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.65 Å. In the third La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with two equivalent AlO6 octahedra and faces with six TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.65 Å. In the fourth La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.59–2.62 Å. In the fifth La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with eight TiO6 octahedra. There are five shorter (2.60 Å) and seven longer (2.61 Å) La–O bond lengths. In the sixth La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with eight TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.58–2.63 Å. In the seventh La site, La is bonded to twelve O atoms to form LaO12 cuboctahedra that share faces with two equivalent AlO6 octahedra and faces with six TiO6 octahedra. There are a spread of La–O bond distances ranging from 2.53–2.71 Å. There are twenty-seven inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–44°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three AlO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 40–44°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with three AlO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, corners with four AlO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Ti–O bond distances ranging from 1.97–2.01 Å. In the sixth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four TiO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. In the seventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two AlO6 octahedra, corners with four TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the eighth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two AlO6 octahedra, corners with four TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. In the ninth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the tenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the eleventh Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the twelfth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 38°. There is three shorter (1.97 Å) and three longer (1.98 Å) Ti–O bond length. In the thirteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.96–1.98 Å. In the fourteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the fifteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the sixteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.96–1.98 Å. In the seventeenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the eighteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. In the nineteenth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 38°. There is three shorter (1.97 Å) and three longer (1.98 Å) Ti–O bond length. In the twentieth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four TiO6 octahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the twenty-first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the twenty-second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the twenty-third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and faces with two LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the twenty-fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Ti–O bond distances ranging from 1.89–2.11 Å. In the twenty-fifth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one AlO6 octahedra, corners with five TiO6 octahedra, and a faceface with one LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the twenty-sixth Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–43°. There is two shorter (1.99 Å) and four longer (2.00 Å) Ti–O bond length. In the twenty-seventh Ti site, Ti is bonded to six O atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–42°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. There are twenty-four inequivalent Cu sites. In the first Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.94–1.97 Å. In the second Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There is one shorter (1.94 Å) and three longer (1.96 Å) Cu–O bond length. In the third Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.95–1.99 Å. In the fourth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There is two shorter (1.96 Å) and two longer (1.97 Å) Cu–O bond length. In the fifth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.99–2.01 Å. In the sixth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are three shorter (1.99 Å) and one longer (2.03 Å) Cu–O bond lengths. In the seventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.99–2.01 Å. In the eighth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are three shorter (1.99 Å) and one longer (2.02 Å) Cu–O bond lengths. In the ninth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.01 Å. In the tenth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.02 Å. In the eleventh Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are two shorter (2.00 Å) and two longer (2.01 Å) Cu–O bond lengths. In the twelfth Cu site, Cu is bonded in a square co-planar geometry to four O atoms. There are three shorter (2.00 Å) and one longer (2.01 Å) Cu–O bond lengths. In the thirteenth Cu site, Cu

36 MATERIALS SCIENCE↗

Materials Data on Na5Li3Ti5O14 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Ba4Li4Ti19O44 by Materials Project

Li4Ba4Ti19O44 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with five TiO6 octahedra, edges with three TiO6 octahedra, a faceface with one BaO12 cuboctahedra, a faceface with one TiO6 octahedra, and a faceface with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 6–49°. There are a spread of Li–O bond distances ranging from 2.01–2.31 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with nine TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Li–O bond distances ranging from 1.82–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with nine TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra and an edgeedge with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. There are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, a faceface with one LiO6 octahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–47°. There are a spread of Ba–O bond distances ranging from 2.83–3.09 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with three TiO6 octahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Ba–O bond distances ranging from 2.71–3.20 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent LiO6 octahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–54°. There are a spread of Ba–O bond distances ranging from 2.76–3.17 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with three TiO6 octahedra, an edgeedge with one LiO4 tetrahedra, faces with two equivalent BaO12 cuboctahedra, and faces with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of Ba–O bond distances ranging from 2.76–3.17 Å. There are nineteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Ti–O bond distances ranging from 1.78–2.12 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 12–52°. There are a spread of Ti–O bond distances ranging from 1.81–2.16 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with six TiO6 octahedra, edges with two TiO6 octahedra, faces with three BaO12 cuboctahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–51°. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, corners with two equivalent LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Ti–O bond distances ranging from 1.84–2.24 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.80–2.32 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, a cornercorner with one LiO6 octahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.11 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–O bond distances ranging from 1.94–2.00 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two BaO12 cuboctahedra, corners with two TiO6 octahedra, corners with two LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 42–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.03 Å. In the fourteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three TiO6 octahedra, corners with three LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, corners with three LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, edges with two equivalent LiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–54°. There are a spread of Ti–O bond distances ranging from 1.83–2.14 Å. In the sixteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, edges with two TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–53°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. In the seventeenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, an edgeedge with one BaO12 cuboctahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the eighteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with three TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–17°. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the nineteenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with seven TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 3–57°. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ba2+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ba2+, and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ba2+,

36 MATERIALS SCIENCE↗

Materials Data on Li13Mg(Ni6O13)2 by Materials Project

Li13Mg(Ni6O13)2 is Caswellsilverite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, an edgeedge with one MgO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, an edgeedge with one MgO6 octahedra, edges with five NiO6 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 2.10–2.13 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. 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 NiO6 octahedra, an edgeedge with one MgO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.10–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with five NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 1.98–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with four NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are two shorter (2.00 Å) and four longer (2.14 Å) Li–O bond lengths. Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are four shorter (2.02 Å) and two longer (2.11 Å) Mg–O bond lengths. There are six inequivalent Ni+3.08+ sites. In the first Ni+3.08+ site, Ni+3.08+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MgO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.11 Å. In the second Ni+3.08+ site, Ni+3.08+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.11 Å. In the third Ni+3.08+ site, Ni+3.08+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MgO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ni–O bond distances ranging from 1.90–2.11 Å. In the fourth Ni+3.08+ site, Ni+3.08+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MgO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Ni–O bond distances ranging from 1.89–2.11 Å. In the fifth Ni+3.08+ site, Ni+3.08+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.90–2.11 Å. In the sixth Ni+3.08+ site, Ni+3.08+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ni–O bond distances ranging from 1.89–2.12 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mg2+, and two Ni+3.08+ atoms to form OLi3MgNi2 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form a mixture of corner and edge-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form a mixture of corner and edge-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three Li1+, one Mg2+, and two Ni+3.08+ atoms to form OLi3MgNi2 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O2- site, O2- is bonded to three Li1+, one Mg2+, and two Ni+3.08+ atoms to form OLi3MgNi2 octahedra that share corners with six OLi3MgNi2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the ninth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3MgNi2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3MgNi2 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3MgNi2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.08+ atoms to form a mixture of corner and edge-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Li3CoNi3O8 by Materials Project

Li3CoNi3O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–15°. There are a spread of Li–O bond distances ranging from 2.03–2.10 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 LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Li–O bond distances ranging from 2.09–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.05–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.09–2.26 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.05–2.15 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Li–O bond distances ranging from 2.09–2.25 Å. There are three inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Co–O bond distances ranging from 1.86–1.93 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with six LiO6 octahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.89 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.85–1.93 Å. There are nine inequivalent Ni+3.33+ sites. In the first Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–15°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the second Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.90–2.13 Å. In the third Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four NiO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the fourth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ni–O bond distances ranging from 1.90–2.07 Å. In the fifth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–11°. There are four shorter (1.91 Å) and two longer (2.12 Å) Ni–O bond lengths. In the sixth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Ni–O bond distances ranging from 1.88–2.03 Å. In the seventh Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–14°. There are a spread of Ni–O bond distances ranging from 1.90–2.13 Å. In the eighth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four NiO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the ninth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–15°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and three Ni+3.33+ atoms to form OLi2Ni3 square pyramids that share corners with three equivalent OLi3Ni3 octahedra, corners with six OLi2CoNi2 square pyramids, edges with three OLi3CoNi2 octahedra, and edges with five OLi2CoNi2 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. In the second O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2CoNi2 square pyramids, edges with four OLi3Ni3 octahedra, and edges with four OLi2CoNi2 square pyramids. In the third O2- site, O2- is bonded to three Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi3CoNi2 octahedra that share corners with three equivalent OLi3CoNi2 octahedra, corners with three equivalent OLi2CoNi2 square pyramids, an edgeedge with one OLi3Ni3 octahedra, and edges with eleven OLi2CoNi2 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the fourth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2CoNi2 square pyramids, edges with four OLi3Ni3 octahedra, and edges with four OLi2CoNi2 square pyramids. In the fifth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2CoNi2 square pyramids, edges with four OLi3CoNi2 octahedra, and edges with four OLi2CoNi2 square pyramids. In the sixth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2Ni3 square pyramids, edges with four OLi3CoNi2 octahedra, and edges with four OLi2CoNi2 square pyramids. In the seventh O2- site, O2- is bonded to three Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi3CoNi2 octahedra that share corners with three equivalent OLi3CoNi2 octahedra, corners with three equivalent OLi2CoNi2 square pyramids, an edgeedge with one OLi3Ni3 octahedra, and edges with eleven OLi2CoNi2 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to two Li1+ and three Ni+3.33+ atoms to form OLi2Ni3 square pyramids that share corners with three equivalent OLi3Ni3 octahedra, corners with six OLi2Ni3 square pyramids, edges with three OLi3CoNi2 octahedra, and edges with five OLi2CoNi2 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. In the ninth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with three equivalent OLi3CoNi2 octahedra, corners with six OLi2CoNi2 square pyramids, edges with three OLi3Ni3 octahedra, and edges with five OLi2CoNi2 square pyramids. The corner-sharing octahedra tilt angles range from 2–3°. In the tenth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2CoNi2 square pyramids, edges with four OLi3Ni3 octahedra, and edges with four OLi2CoNi2 square pyramids. In the eleventh O2- site, O2- is bonded to three Li1+ and three Ni+3.33+ atoms to form OLi3Ni3 octahedra that share corners with three equivalent OLi3Ni3 octahedra, corners with three equivalent OLi2Ni3 square pyramids, an edgeedge with one OLi3CoNi2 octahedra, and edges with eleven OLi2CoNi2 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the twelfth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2CoNi2 square pyramids, edges with four OLi3Ni3 octahedra, and edges with four OLi2CoNi2 square pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners with nine OLi2CoNi2 square pyramids, edges with four OLi3Ni3 octahedra, and edges with four OLi2CoNi2 square pyramids. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Ni+3.33+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi2CoNi2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the fifteenth O2- site, O2- is bonded to two Li1+, one Co3+, and two Ni+3.33+ atoms to form OLi2CoNi2 square pyramids that share corners wit

36 MATERIALS SCIENCE↗

Materials Data on Na5Li3Ti5O14 by Materials Project

Na5Li3Ti5O14 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Na–O bond distances ranging from 2.29–2.47 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–20°. There are a spread of Na–O bond distances ranging from 2.29–2.50 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with three NaO6 octahedra, edges with four LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are a spread of Na–O bond distances ranging from 2.29–2.51 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with five NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Na–O bond distances ranging from 2.29–2.41 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with three LiO6 octahedra, corners with three TiO6 octahedra, edges with two LiO6 octahedra, edges with three NaO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Na–O bond distances ranging from 2.27–2.45 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with two LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Li–O bond distances ranging from 2.13–2.52 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, an edgeedge with one LiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–18°. There are a spread of Li–O bond distances ranging from 2.06–2.29 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 a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with four NaO6 octahedra, edges with three TiO6 octahedra, edges with four NaO6 octahedra, and edges with four LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are a spread of Ti–O bond distances ranging from 1.88–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four NaO6 octahedra, edges with three LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four NaO6 octahedra, edges with two LiO6 octahedra, edges with four TiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with three LiO6 octahedra, edges with four NaO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–20°. There are a spread of Ti–O bond distances ranging from 1.84–2.29 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form ONaLi2Ti2 square pyramids that share corners with four ONa3LiTi2 octahedra, corners with five ONaLi2Ti2 square pyramids, edges with five ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the second O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form ONa3LiTi2 octahedra that share corners with four ONa2Li2Ti2 octahedra, corners with two ONaLi2Ti2 square pyramids, edges with eight ONa3LiTi2 octahedra, and edges with four ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. In the third O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with three ONa2Li2Ti2 octahedra, corners with three ONaLi2Ti2 square pyramids, edges with nine ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the fourth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 3–16°. In the fifth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and edges with five ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 1–17°. In the sixth O2- site, O2- is bonded to two Na1+, two Li1+, and two Ti4+ atoms to form distorted ONa2Li2Ti2 octahedra that share corners with three ONa2Li2Ti2 octahedra, corners with three ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with six ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–17°. In the seventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONa2Li2Ti2 octahedra, corners with two equivalent ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and edges with five ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–11°. In the eighth O2- site, O2- is bonded to two Na1+ and three Ti4+ atoms to form distorted ONa2Ti3 square pyramids that share corners with three ONa3Ti3 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with seven ONa3LiTi2 octahedra, and an edgeedge with one ONaLi2Ti2 square pyramid. The corner-sharing octahedra tilt angles range from 8–10°. In the ninth O2- site, O2- is bonded to two Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa2LiTi2 square pyramids that share corners with three ONa3LiTi2 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with two ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the tenth O2- site, O2- is bonded to three Na1+ and three Ti4+ atoms to form distorted ONa3Ti3 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2Ti3 square pyramids, edges with nine ONa3LiTi2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. In the eleventh O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form distorted ONa3LiTi2 octahedra that share corners with four ONa3LiTi2 octahedra, corners with two ONa2Ti3 square pyramids, edges with eight ONa3LiTi2 octahedra, and edges with four ONa2Ti3 square pyramids. The corner-sharing octahedra tilt angles range from 1–4°. In the twelfth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with four ONa2Li2Ti2 octahedra, corners with five ONaLi2Ti2 square pyramids, edges with five ONa2Li2Ti2 octahedra, and edges with three ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–14°. In the thirteenth O2- site, O2- is bonded to one Na1+, two Li1+, and two Ti4+ atoms to form distorted ONaLi2Ti2 square pyramids that share corners with three ONa3Ti3 octahedra, corners with six ONaLi2Ti2 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with two ONa2LiTi2 square pyramids. The corner-sharing octahedra tilt angles range from 3–12°. In the fourteenth O2- site, O2- is bonded to three Na1+, one Li1+, and two Ti4+ atoms to form ONa3LiTi2 octahedra that share corners with three ONa3LiTi2 octahedra, corners with three ONa2Ti3 square pyramids, edges with six ONa3LiTi2 octahedra, and edges with six ONaLi2Ti2 square pyramids. The corner-sharing octahedra tilt angles range from 2–13°.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnFe(PO4)2 by Materials Project

Li2MnFe(PO4)2 is Ilmenite-derived structured and crystallizes in the monoclinic Pm 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 MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. 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 two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two MnO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with three MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.11–2.23 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fifth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.30 Å. In the sixth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Mn–O bond distances ranging from 2.14–2.29 Å. There are six inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.28 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.13–2.28 Å. In the fifth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.12–2.27 Å. In the sixth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.27 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two MnO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners w

36 MATERIALS SCIENCE↗

Materials Data on Mg30AlSiO32 by Materials Project

Mg30AlSiO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent AlO6 octahedra, corners with two equivalent SiO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.03–2.29 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.27 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.06 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one AlO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.13 Å) and four longer (2.15 Å) Mg–O bond lengths. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.14 Å) and four longer (2.15 Å) Mg–O bond lengths. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are two shorter (2.14 Å) and four longer (2.15 Å) Mg–O bond lengths. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. Al is bonded to six O atoms to form AlO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.00 Å) and two longer (2.01 Å) Al–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.23 Å) and four longer (2.26 Å) Si–O bond lengths. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to five Mg and one Si atom to form a mixture of edge and corner-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O site, O is bonded to five Mg and one Al atom to form a mixture of edge and corner-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The O–Mg bond length is 2.03 Å. In the seventh O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of O–Mg bond distances ranging from 2.03–2.16 Å. In the eighth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the ninth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.14 Å) and two longer (2.15 Å) O–Mg bond lengths. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. The O–Mg bond length is 2.13 Å. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the twelfth O site, O is bonded to five Mg and one Al atom to form a mixture of edge and corner-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.15 Å) and one longer (2.29 Å) O–Mg bond lengths. In the thirteenth O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.16 Å. In the fourteenth O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.15 Å) and two longer (2.16 Å) O–Mg bond lengths. In the fifteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.14 Å) and one longer (2.16 Å) O–Mg bond lengths. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. Both O–Mg bond lengths are 2.13 Å. In the seventeenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of O–Mg bond distances ranging from 2.14–2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is Caswellsilverite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 2.01–2.34 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, edges with three MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Li–O bond distances ranging from 1.97–2.31 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 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 2.08–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three 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 0–9°. There are a spread of Li–O bond distances ranging from 2.06–2.30 Å. In the fifth 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 3–11°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with three CoO6 octahedra, edges with three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.14–2.20 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 5–8°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 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 2.07–2.17 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Mn–O bond distances ranging from 1.90–2.04 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Co–O bond distances ranging from 1.79–2.38 Å. In the second Co4+ site, Co4+ 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 3–11°. There are a spread of Co–O bond distances ranging from 1.79–2.34 Å. In the third Co4+ site, Co4+ 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 0–10°. There are a spread of Co–O bond distances ranging from 1.93–2.12 Å. In the fourth Co4+ site, Co4+ 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 3–9°. There are a spread of Co–O bond distances ranging from 2.00–2.18 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form distorted OLi3Mn2Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. In the third O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ 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 1–19°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the eighth O2- site, O2- is bonded to three Li1+ and three Mn2+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–19°. In the tenth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 1–12°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–15°. In the fourteenth O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°.

36 MATERIALS SCIENCE↗