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Materials Data on MgB3O13 by Materials Project

MgB3O13 is beta Polonium structured and crystallizes in the monoclinic P2_1/c space group. The structure is zero-dimensional and consists of two MgB3O13 clusters. Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 1.94–2.58 Å. There are three inequivalent B sites. In the first B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the second B site, B is bonded in a tetrahedral geometry to four O atoms. There are a spread of B–O bond distances ranging from 1.43–1.53 Å. In the third B site, B is bonded in a trigonal planar geometry to three O atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. There are thirteen inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one B atom. In the second O site, O is bonded in a single-bond geometry to one O atom. The O–O bond length is 1.27 Å. In the third O site, O is bonded in a bent 120 degrees geometry to two B atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Mg and one B atom. In the fifth O site, O is bonded in a bent 120 degrees geometry to one Mg and one B atom. In the sixth O site, O is bonded in a single-bond geometry to one Mg atom. In the seventh O site, O is bonded in a single-bond geometry to one O atom. The O–O bond length is 1.23 Å. In the eighth O site, O is bonded in a bent 120 degrees geometry to one Mg and one O atom. The O–O bond length is 1.33 Å. In the ninth O site, O is bonded in a water-like geometry to one Mg and one B atom. In the tenth O site, O is bonded in a bent 120 degrees geometry to one Mg and one O atom. In the eleventh O site, O is bonded in a water-like geometry to two B atoms. In the twelfth O site, O is bonded in a bent 120 degrees geometry to two O atoms. In the thirteenth O site, O is bonded in a water-like geometry to two B atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five 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 6–10°. There are a spread of Li–O bond distances ranging from 2.07–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 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 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent 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 3–9°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with four MnO6 octahedra, edges with five CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Li–O bond distances ranging from 2.12–2.26 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 four 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 2.08–2.23 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 MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Li–O bond distances ranging from 2.07–2.33 Å. In the eighth 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 MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three 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 2.05–2.18 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, 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 1–7°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, 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 5–8°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are five inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, 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 3–10°. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with four CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.94–2.15 Å. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two CoO6 octahedra, edges with three MnO6 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 1.95–1.98 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Co–O bond distances ranging from 1.95–2.07 Å. In the fifth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, 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 5–9°. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the second O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ 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 1–6°. In the third O2- site, O2- is bonded to four Li1+ and two Co+2.80+ atoms to form OLi4Co2 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn+4.50+ atoms to form OLi4Mn2 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 seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the ninth O2- site, O2- is bonded to three Li1+, two Mn+4.50+, and one Co+2.80+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the tenth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.80+ 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 2–8°. In the eleventh O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4Co2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ 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 fifteenth O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li32Ti13Cr3O48 by Materials Project

Li32Ti13Cr3O48 is beta Polonium-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirty-two inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Li–O bond distances ranging from 2.12–2.14 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.11–2.22 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.10–2.22 Å. In the thirteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.27 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the seventeenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.10–2.14 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.05–2.24 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with two CrO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the twenty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the twenty-second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the twenty-third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–10°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the twenty-fourth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.26 Å. In the twenty-fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.14 Å. In the twenty-sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twenty-seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twenty-eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.28 Å. In the twenty-ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the thirtieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the thirty-first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 oct

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn(CoO3)2 by Materials Project

Li3Mn(CoO3)2 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two 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 equivalent CoO6 octahedra, edges with three equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CoO6 octahedra, edges with six LiO6 octahedra, and edges with six equivalent CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. 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 equivalent CoO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mn–O bond distances ranging from 1.93–2.19 Å. Co+3.50+ 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co+3.50+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O2- site, O2- is bonded to three equivalent Li1+, two equivalent Mn2+, and one Co+3.50+ 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 equivalent Co+3.50+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3CoO8 by Materials Project

Li4Mn3CoO8 is beta Polonium-derived structured and crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. There are three inequivalent Mn+2.67+ sites. In the first Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are two shorter (1.93 Å) and four longer (2.13 Å) Mn–O bond lengths. In the second Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are two shorter (1.92 Å) and four longer (2.15 Å) Mn–O bond lengths. In the third Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are two shorter (1.93 Å) and four longer (2.14 Å) Mn–O bond lengths. Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are two shorter (1.95 Å) and four longer (2.10 Å) Co–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+, two equivalent Mn+2.67+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to three Li1+ and three Mn+2.67+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to three Li1+ and three Mn+2.67+ atoms to form a mixture of corner and edge-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+2.67+, and two equivalent Co4+ atoms to form OLi3MnCo2 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Li3Al2CoO6 by Materials Project

Li3CoAl2O6 is beta Polonium-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent CoO6 octahedra, corners with three equivalent AlO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five equivalent AlO6 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 2.09–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent AlO6 octahedra, edges with two equivalent AlO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are four shorter (2.15 Å) and two longer (2.16 Å) Li–O bond lengths. Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent AlO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are four shorter (2.00 Å) and two longer (2.02 Å) Co–O bond lengths. Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent AlO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Al–O bond distances ranging from 1.93–1.95 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Al3+ atoms to form OLi3Al3 octahedra that share corners with six OLi3AlCo2 octahedra and edges with twelve OLi3Al3 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Co3+, and one Al3+ atom to form a mixture of corner and edge-sharing OLi3AlCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to three Li1+, one Co3+, and two equivalent Al3+ atoms to form a mixture of corner and edge-sharing OLi3Al2Co octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnCoO5 by Materials Project

Li3MnCoO5 is beta Polonium-derived structured and crystallizes in the monoclinic C2/m 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 LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent CoO6 octahedra, corners with three equivalent MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.13–2.20 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 equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are two shorter (2.10 Å) and four longer (2.19 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are two shorter (2.09 Å) and four longer (2.10 Å) Li–O bond lengths. Mn3+ 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 3–9°. There are a spread of Mn–O bond distances ranging from 1.83–2.05 Å. 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 2.01–2.05 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn3+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form a mixture of corner and edge-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the third O2- site, O2- is bonded to three Li1+, one Mn3+, 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 2–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to three Li1+, two equivalent Mn3+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li24TiCr11O36 by Materials Project

Li24TiCr11O36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent TiO6 octahedra, edges with four CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 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 a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.07–2.26 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two LiO6 octahedra, corners with three CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.07–2.13 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with five CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.09 Å) and two longer (2.11 Å) Li–O bond lengths. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.23 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are four shorter (2.08 Å) and two longer (2.12 Å) Li–O bond lengths. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CrO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.08–2.12 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four CrO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ti–O bond distances ranging from 1.96–1.99 Å. There are eleven inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–1.99 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the fourth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.94–1.96 Å. In the fifth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the sixth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the seventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.94–1.96 Å. In the eighth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Cr–O bond distances ranging from 1.93–1.98 Å. In the ninth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Cr–O bond distances ranging from 1.88–1.99 Å. In the tenth Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.88–2.00 Å. In the eleventh Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Cr–O bond distances ranging from 1.89–2.00 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the second O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the third O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the sixth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the eighth O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form OLi4Cr2 octahedra that share corners with six OLi4Cr2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 0–9°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is beta Polonium-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are five 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 CoO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.13 Å) Li–O bond lengths. 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 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 5–8°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.13–2.20 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five equivalent MnO6 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 2–10°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. 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 2–10°. There are a spread of Mn–O bond distances ranging from 1.81–2.08 Å. There are two 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 4–7°. There are a spread of Co–O bond distances ranging from 2.00–2.06 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 5–8°. There are a spread of Co–O bond distances ranging from 2.00–2.05 Å. There are seven inequivalent O2- sites. In the first 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 OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O2- site, O2- is bonded to three Li1+ and three equivalent Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third 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 fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six OLi3Mn2Co octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fifth O2- site, O2- is bonded to four Li1+ and two equivalent 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 0–8°. In the sixth O2- site, O2- is bonded to three equivalent Li1+ and three Co4+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O2- site, O2- is bonded to five Li1+ and one Mn2+ atom to form OLi5Mn octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Mn2(CoO4)3 by Materials Project

Li7Mn2(CoO4)3 is beta Polonium-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three 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 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 2.07–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two equivalent MnO6 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 4–9°. 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 six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are four shorter (2.08 Å) and two longer (2.12 Å) Li–O bond lengths. Mn+4.50+ 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 three CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. There are two inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Co–O bond lengths are 2.03 Å. In the second Co+2.67+ site, Co+2.67+ 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 6–9°. There are a spread of Co–O bond distances ranging from 1.96–2.05 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.67+ atom to form a mixture of edge and corner-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.67+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo2O7 by Materials Project

Li4MnCo2O7 is beta Polonium-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, a cornercorner with one MnO6 octahedra, corners with four 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 7–8°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with four 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 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent LiO6 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 4–9°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 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 3–8°. There are a spread of Li–O bond distances ranging from 2.04–2.29 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 three CoO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the sixth 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 4–8°. There are a spread of Li–O bond distances ranging from 2.08–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with five 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 4–10°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, edges with three 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 2.05–2.12 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 4–7°. There are a spread of Mn–O bond distances ranging from 1.89–2.02 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 four CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 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 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 Co–O bond distances ranging from 1.89–2.15 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 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 1.93–2.08 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 6–9°. 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 4–7°. There are a spread of Co–O bond distances ranging from 1.98–2.05 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 a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. 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 OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the third O2- site, O2- is bonded to three Li1+ and three Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fourth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the fifth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form OLi4MnCo octahedra that share corners with six OLi4MnCo octahedra and edges with twelve OLi3MnCo2 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 OLi4MnCo octahedra and edges with twelve OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. 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 1–4°. In the eighth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the ninth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 OLi3Co3 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+, 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 1–6°. In the twelfth O2- site, O2- is bonded to four Li1+, one Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi4MnCo octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Mn2+, and two Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fourteenth 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 2–7°.

36 MATERIALS SCIENCE↗

Materials Data on TeC2(NO2)4 by Materials Project

C2Te(NO2)4 is beta Polonium-like structured and crystallizes in the monoclinic C2/c space group. The structure is zero-dimensional and consists of four C2Te(NO2)4 clusters. C4+ is bonded in a 2-coordinate geometry to two N1+ and one O2- atom. There is one shorter (1.27 Å) and one longer (1.34 Å) C–N bond length. The C–O bond length is 1.38 Å. There are two inequivalent N1+ sites. In the first N1+ site, N1+ is bonded in a 1-coordinate geometry to one C4+ and one O2- atom. The N–O bond length is 1.53 Å. In the second N1+ site, N1+ is bonded in a distorted bent 120 degrees geometry to one C4+ and one O2- atom. The N–O bond length is 1.27 Å. Te4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Te–O bond distances ranging from 1.88–2.52 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to one Te4+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one Te4+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one C4+ and one N1+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to one N1+ and one Te4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn2Co5O16 by Materials Project

Li9Mn2Co5O16 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three 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 3–8°. There are a spread of Li–O bond distances ranging from 2.10–2.23 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five 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 4–9°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three 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 3–9°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. All Li–O bond lengths are 2.09 Å. Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. There are four inequivalent Co+2.80+ sites. In the first Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Co–O bond distances ranging from 1.97–2.07 Å. In the second Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There is two shorter (1.95 Å) and four longer (1.96 Å) Co–O bond length. In the third Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.95–2.06 Å. In the fourth Co+2.80+ site, Co+2.80+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Co–O bond distances ranging from 1.96–2.07 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two equivalent Mn+4.50+ atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifth O2- site, O2- is bonded to three Li1+, two equivalent Mn+4.50+, and one Co+2.80+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to four Li1+, one Mn+4.50+, and one Co+2.80+ atom to form OLi4MnCo octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to three Li1+ and three Co+2.80+ atoms to form OLi3Co3 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li4MnCo3O8 by Materials Project

Li4MnCo3O8 is beta Polonium-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Li–O bond distances ranging from 2.10–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one MnO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent CoO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mn–O bond distances ranging from 1.93–2.19 Å. There are two inequivalent Co+3.33+ sites. In the first Co+3.33+ site, Co+3.33+ 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 4–6°. There are a spread of Co–O bond distances ranging from 1.93–2.12 Å. In the second Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Co–O bond distances ranging from 1.93–2.10 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co+3.33+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to three Li1+ and three Co+3.33+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to three Li1+, one Mn2+, and two equivalent Co+3.33+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three Li1+, two equivalent Mn2+, and one Co+3.33+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3CoO8 by Materials Project

Li4Mn3CoO8 is beta Polonium-derived structured and crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent MnO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent MnO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are two shorter (2.13 Å) and four longer (2.20 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent MnO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are two shorter (2.13 Å) and four longer (2.19 Å) Li–O bond lengths. There are two inequivalent Mn+2.67+ sites. In the first Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the second Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are two shorter (1.93 Å) and four longer (2.14 Å) Mn–O bond lengths. Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are two shorter (1.93 Å) and four longer (2.11 Å) Co–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Mn+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to three Li1+ and three Mn+2.67+ atoms to form a mixture of edge and corner-sharing OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to three Li1+, two equivalent Mn+2.67+, and one Co4+ atom to form a mixture of edge and corner-sharing OLi3Mn2Co octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O2- site, O2- is bonded to three Li1+, one Mn+2.67+, and two equivalent Co4+ atoms to form a mixture of edge and corner-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on Li2MnCoO4 by Materials Project

Li2MnCoO4 is beta Polonium-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two 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 CoO6 octahedra, corners with four equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Li–O bond distances ranging from 2.11–2.19 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent CoO6 octahedra, edges with two equivalent MnO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.11–2.21 Å. 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 equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Mn–O bond distances ranging from 1.93–2.13 Å. 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 equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Co–O bond distances ranging from 1.93–2.11 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three equivalent Mn2+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to three equivalent Li1+, one Mn2+, and two equivalent Co4+ atoms to form a mixture of corner and edge-sharing OLi3MnCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to three Li1+ and three equivalent Co4+ atoms to form OLi3Co3 octahedra that share corners with six OLi3MnCo2 octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three equivalent Li1+, two equivalent Mn2+, and one Co4+ atom to form a mixture of corner and edge-sharing OLi3Mn2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on Bi(W3O10)6 by Materials Project

Bi(W3O10)6 is beta Polonium structured and crystallizes in the trigonal R3 space group. The structure is zero-dimensional and consists of three Bi(W3O10)6 clusters. there are six inequivalent W sites. In the first W site, W is bonded in a 5-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.72–2.64 Å. In the second W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.73–2.40 Å. In the third W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.73–2.38 Å. In the fourth W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.73–2.27 Å. In the fifth W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.73–2.35 Å. In the sixth W site, W is bonded in a 6-coordinate geometry to six O atoms. There are a spread of W–O bond distances ranging from 1.73–2.25 Å. Bi is bonded in a distorted T-shaped geometry to three equivalent O atoms. All Bi–O bond lengths are 2.18 Å. There are twenty inequivalent O sites. In the first O site, O is bonded in a single-bond geometry to one W atom. In the second O site, O is bonded in a single-bond geometry to one W atom. In the third O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the fourth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the fifth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the sixth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the seventh O site, O is bonded in a single-bond geometry to one W atom. In the eighth O site, O is bonded in a single-bond geometry to one W atom. In the ninth O site, O is bonded in a single-bond geometry to one W atom. In the tenth O site, O is bonded in a single-bond geometry to one W atom. In the eleventh O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the twelfth O site, O is bonded in a bent 120 degrees geometry to two W atoms. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fourteenth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the sixteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent W atoms. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the eighteenth O site, O is bonded in a bent 150 degrees geometry to two W atoms. In the nineteenth O site, O is bonded in a 4-coordinate geometry to three W and one Bi atom. In the twentieth O site, O is bonded in a distorted trigonal non-coplanar geometry to three W atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3CoO8 by Materials Project

Li4Mn3CoO8 is beta Polonium-derived structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six equivalent O2- atoms to form LiO6 octahedra that share corners with six equivalent CoO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 9°. All Li–O bond lengths are 2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are two shorter (2.08 Å) and four longer (2.23 Å) Li–O bond lengths. Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are four shorter (2.00 Å) and two longer (2.14 Å) Mn–O bond lengths. Co4+ is bonded to six equivalent O2- atoms to form CoO6 octahedra that share corners with six equivalent LiO6 octahedra, edges with six equivalent LiO6 octahedra, and edges with six equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 9°. All Co–O bond lengths are 2.07 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to three equivalent Li1+ and three equivalent Mn+2.67+ atoms to form OLi3Mn3 octahedra that share corners with six equivalent OLi3Mn3 octahedra and edges with twelve equivalent OLi3Mn2Co octahedra. The corner-sharing octahedral tilt angles are 0°. In the second O2- site, O2- is bonded to three Li1+, two equivalent Mn+2.67+, and one Co4+ atom to form OLi3Mn2Co octahedra that share corners with six equivalent OLi3Mn2Co octahedra and edges with twelve OLi3Mn3 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗