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At least 667 records · Page 37

Materials Data on Li8CoNi9O20 by Materials Project

Li8CoNi9O20 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 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 5–18°. There are a spread of Li–O bond distances ranging from 1.98–2.23 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 equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are three shorter (2.10 Å) and three longer (2.12 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five 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 2.11–2.27 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 four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.06–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.04–2.40 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Li–O bond distances ranging from 1.98–2.42 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Li–O bond distances ranging from 2.10–2.15 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.09–2.14 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 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 4–11°. There are a spread of Li–O bond distances ranging from 2.07–2.31 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO6 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 2.10–2.35 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 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 6–19°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 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 5–15°. There are a spread of Li–O bond distances ranging from 1.98–2.30 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 a cornercorner with one LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Co–O bond distances ranging from 1.88–1.96 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Co–O bond distances ranging from 1.89–1.92 Å. There are eighteen inequivalent Ni+3.11+ sites. In the first Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with four NiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–18°. There are a spread of Ni–O bond distances ranging from 1.96–2.14 Å. In the second Ni+3.11+ site, Ni+3.11+ 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 6–16°. There are a spread of Ni–O bond distances ranging from 1.97–2.19 Å. In the third Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ni–O bond distances ranging from 1.86–1.94 Å. In the fourth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Ni–O bond distances ranging from 1.86–1.94 Å. In the fifth Ni+3.11+ site, Ni+3.11+ 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 3–10°. There are a spread of Ni–O bond distances ranging from 1.92–2.11 Å. In the sixth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Ni–O bond distances ranging from 1.90–2.17 Å. In the seventh Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.14 Å. In the eighth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.92–2.11 Å. In the ninth Ni+3.11+ site, Ni+3.11+ 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 4–11°. There are a spread of Ni–O bond distances ranging from 1.91–2.16 Å. In the tenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Ni–O bond distances ranging from 1.91–2.21 Å. In the eleventh Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Ni–O bond distances ranging from 1.89–2.14 Å. In the twelfth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Ni–O bond distances ranging from 1.89–2.14 Å. In the thirteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Ni–O bond distances ranging from 1.92–2.16 Å. In the fourteenth Ni+3.11+ site, Ni+3.11+ 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 5–9°. There are a spread of Ni–O bond distances ranging from 1.91–2.13 Å. In the fifteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ni–O bond distances ranging from 1.87–1.93 Å. In the sixteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Ni–O bond distances ranging from 1.93–2.12 Å. In the seventeenth Ni+3.11+ site, Ni+3.11+ 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 6–19°. There are a spread of Ni–

36 MATERIALS SCIENCE↗

Materials Data on Li20Co21O40 by Materials Project

Li20Co21O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. In the second Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.08–2.19 Å. In the fourth Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.89–2.51 Å. In the fifth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.88–2.60 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the seventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. In the eighth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the ninth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the tenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the eleventh Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the twelfth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the thirteenth Li site, Li is bonded in a 3-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.86–2.60 Å. In the fourteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the fifteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the sixteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the seventeenth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to six O atoms. There are a spread of Li–O bond distances ranging from 1.88–2.57 Å. In the eighteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 1.98–2.19 Å. In the nineteenth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with five LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.09–2.20 Å. In the twentieth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. There are twenty-one inequivalent Co sites. In the first Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There is four shorter (1.95 Å) and two longer (1.96 Å) Co–O bond length. In the second Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the third Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the fourth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the fifth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the sixth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the seventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the eighth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Co–O bond distances ranging from 2.06–2.10 Å. In the ninth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. In the tenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. In the eleventh Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the twelfth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the thirteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the fourteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Co–O bond distances ranging from 1.94–1.96 Å. In the fifteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–11°. There are a spread of Co–O bond distances ranging from 2.05–2.12 Å. In the sixteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.93–1.97 Å. In the seventeenth Co site, Co is bonded to four O atoms to form distorted corner-sharing CoO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Co–O bond distances ranging from 1.89–1.95 Å. In the eighteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Co–O bond distances ranging from 1.92–1.96 Å. In the nineteenth Co site, Co is bonded to six O atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one CoO4 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on LiMn2O4 by Materials Project

LiMn2O4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.97 Å) and two longer (2.07 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are two shorter (1.98 Å) and two longer (2.07 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are two shorter (2.00 Å) and two longer (2.08 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is three shorter (1.97 Å) and one longer (1.98 Å) Li–O bond length. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are two shorter (1.97 Å) and two longer (2.07 Å) Li–O bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the seventeenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. All Li–O bond lengths are 1.97 Å. In the eighteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. There are thirty-six inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.16 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.16 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the thirteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fourteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the fifteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the sixteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the seventeenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the eighteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.21 Å. In the nineteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the twentieth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.13 Å. In the twenty-first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.12 Å. In the twenty-second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.14 Å. In the twenty-third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the twenty-fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.22 Å. In the twenty-fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.12 Å. In the twenty-sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the twenty-seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the twenty-eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the twenty-ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the thirtieth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In

36 MATERIALS SCIENCE↗

Materials Data on Li8CoNi9O20 by Materials Project

Li8CoNi9O20 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 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 4–20°. There are a spread of Li–O bond distances ranging from 2.00–2.29 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of Li–O bond distances ranging from 1.95–2.43 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 four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Li–O bond distances ranging from 1.98–2.33 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.07–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five NiO6 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 2.12–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Li–O bond distances ranging from 2.01–2.19 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.07–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 1.95–2.49 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 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 5–18°. There are a spread of Li–O bond distances ranging from 1.98–2.26 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–9°. There are a spread of Li–O bond distances ranging from 2.07–2.35 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Li–O bond distances ranging from 2.09–2.33 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.08–2.29 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Li–O bond distances ranging from 2.00–2.24 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.05–2.30 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four NiO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Li–O bond distances ranging from 2.08–2.30 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 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 5–19°. There are a spread of Li–O bond distances ranging from 1.98–2.40 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 five LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four NiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Co–O bond distances ranging from 1.86–1.93 Å. There are eighteen inequivalent Ni+3.11+ sites. In the first Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Ni–O bond distances ranging from 1.91–2.17 Å. In the second Ni+3.11+ site, Ni+3.11+ 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 4–18°. There are a spread of Ni–O bond distances ranging from 1.99–2.13 Å. In the third Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–21°. There are a spread of Ni–O bond distances ranging from 1.98–2.16 Å. In the fourth Ni+3.11+ site, Ni+3.11+ 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 4–10°. There are a spread of Ni–O bond distances ranging from 1.93–2.11 Å. In the fifth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Ni–O bond distances ranging from 1.90–2.10 Å. In the sixth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Ni–O bond distances ranging from 1.90–1.92 Å. In the seventh Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Ni–O bond distances ranging from 1.92–2.16 Å. In the eighth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–18°. There are a spread of Ni–O bond distances ranging from 1.90–2.15 Å. In the ninth Ni+3.11+ site, Ni+3.11+ 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 5–20°. There are a spread of Ni–O bond distances ranging from 1.99–2.14 Å. In the tenth Ni+3.11+ site, Ni+3.11+ 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 3–19°. There are a spread of Ni–O bond distances ranging from 1.97–2.12 Å. In the eleventh Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Ni–O bond distances ranging from 1.90–2.14 Å. In the twelfth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–5°. There are a spread of Ni–O bond distances ranging from 1.88–1.91 Å. In the thirteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–8°. There are a spread of Ni–O bond distances ranging from 1.94–2.11 Å. In the fourteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Ni–O bond distances ranging from 1.91–1.95 Å. In the fifteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Ni–O bond distances ranging from 1.88–1.93 Å. In the sixteenth Ni+3.11+ site, Ni+3.11+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.11 Å. In the seven

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti20O40 by Materials Project

Na11Ti20O40 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.43–2.45 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are five shorter (2.44 Å) and one longer (2.45 Å) Na–O bond lengths. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.30–2.53 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.37–2.41 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are two shorter (2.37 Å) and four longer (2.39 Å) Na–O bond lengths. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–11°. There are two shorter (2.37 Å) and four longer (2.39 Å) Na–O bond lengths. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are two shorter (2.37 Å) and four longer (2.40 Å) Na–O bond lengths. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.36–2.39 Å. In the tenth Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Na–O bond distances ranging from 2.37–2.41 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six TiO6 octahedra, edges with four NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.29–2.53 Å. There are twenty inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ti–O bond distances ranging from 1.98–2.06 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.05 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the fourth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the fifth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.00 Å. In the sixth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the seventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the eighth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the ninth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.06 Å. In the tenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one NaO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 21°. There are a spread of Ti–O bond distances ranging from 1.97–2.06 Å. In the eleventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Ti–O bond distances ranging from 2.02–2.09 Å. In the twelfth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Ti–O bond distances ranging from 2.04–2.08 Å. In the thirteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.10 Å. In the fourteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are one shorter (2.08 Å) and five longer (2.09 Å) Ti–O bond lengths. In the fifteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.07–2.09 Å. In the sixteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.09 Å. In the seventeenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–10°. There are one shorter (2.08 Å) and five longer (2.09 Å) Ti–O bond lengths. In the eighteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–10°. There are a spread of Ti–O bond distances ranging from 2.06–2.10 Å. In the nineteenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five NaO6 octahedra, edges with six NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Ti–O bond distances ranging from 2.02–2.08 Å. In the twentieth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three NaO6 octahedra, edges with three equivalent NaO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of Ti–O bond distances ranging from 2.02–2.10 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Ti+3.45+ atoms. In the second O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, corners with four equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fifth O2- site, O2- is bonded to one Na1+ and three Ti+3.45+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with four equivalent ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, and edges with three ONa2Ti3 square pyramids. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Ti+3.45+ atoms to form distorted ONaTi3 trigonal pyramids that share corners with four equivalent ONa2Ti3 square pyramids, corners with two equivalent ONaTi3 trigonal pyramids, and edges with three ONa2Ti3 square pyramids. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.45+ atoms. In the eighteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, edges with five ONa2Ti3 square pyramids, and edges with two equivalent ONaTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to two equivalent Na1+ and three Ti+3.45+ atoms to form ONa2Ti3 square pyramids that share corners with two equivalent ONa2Ti3 square pyramids, corners with four equivalent ONaTi3 trigonal pyramids, edges with five ONa2Ti3 square pyramids, and an edgeedge with one ONaTi3 trigonal pyramid. In t

36 MATERIALS SCIENCE↗

Materials Data on Li15(NiO2)14 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4O8 by Materials Project

Li3Mn4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.13–2.59 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.12–2.60 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.10–2.59 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.10–2.58 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. There are sixteen inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Mn–O bond distances ranging from 2.11–2.17 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 1.99–2.28 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Mn–O bond distances ranging from 1.98–2.29 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 1.99–2.29 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the ninth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the tenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are two shorter (2.11 Å) and four longer (2.18 Å) Mn–O bond lengths. In the eleventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the twelfth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the thirteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the fourteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the fifteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the sixteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 1.99–2.28 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the second O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the fourth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the sixth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLi3Mn2 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the eighth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the ninth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the eleventh O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the twelfth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyram

36 MATERIALS SCIENCE↗

Materials Data on Li17V16O32 by Materials Project

Li17V16O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.15–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.15–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Li–O bond distances ranging from 2.14–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.14–2.23 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.53 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.56 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.16–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve VO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Li–O bond distances ranging from 1.91–1.94 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Li–O bond distances ranging from 2.15–2.24 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.52 Å. In the twelfth Li1+ site, Li1+ is bonded in a distorted trigonal non-coplanar geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.53 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.06–2.26 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.15–2.26 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 2.14–2.22 Å. In the sixteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.11–2.28 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO6 octahedra, edges with five LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.12–2.24 Å. There are sixteen inequivalent V+2.94+ sites. In the first V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of V–O bond distances ranging from 2.04–2.11 Å. In the second V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of V–O bond distances ranging from 2.04–2.10 Å. In the third V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of V–O bond distances ranging from 2.12–2.14 Å. In the fourth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of V–O bond distances ranging from 2.04–2.11 Å. In the fifth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the sixth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of V–O bond distances ranging from 2.03–2.12 Å. In the seventh V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of V–O bond distances ranging from 2.03–2.11 Å. In the eighth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of V–O bond distances ranging from 2.04–2.12 Å. In the ninth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 2.05–2.10 Å. In the tenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the eleventh V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of V–O bond distances ranging from 2.05–2.08 Å. In the twelfth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the thirteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.09 Å. In the fourteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of V–O bond distances ranging from 2.04–2.10 Å. In the fifteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.08 Å. In the sixteenth V+2.94+ site, V+2.94+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five LiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of V–O bond distances ranging from 2.04–2.10 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the second O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to four Li1+ and three V+2.94+ atoms. In the sixth O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O2- site, O2- is bonded to three Li1+ and three V+2.94+ atoms to form a mixture of edge and corner-sharing OLi3V3 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eighth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three V+2.94+ atoms. In the ninth O2-

36 MATERIALS SCIENCE↗

Materials Data on Na13Ni11O24 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Mg2TiO4 by Materials Project

Mg2TiO4 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.14 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.13 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.14 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.13 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.12 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.02 Å. In the eighth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. All Mg–O bond lengths are 2.00 Å. In the ninth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. All Mg–O bond lengths are 2.00 Å. In the tenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are three shorter (2.00 Å) and one longer (2.01 Å) Mg–O bond lengths. In the eleventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. All Mg–O bond lengths are 2.00 Å. In the twelfth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.12 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the fifteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Mg–O bond distances ranging from 1.98–2.01 Å. In the sixteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. All Mg–O bond lengths are 2.00 Å. In the seventeenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Mg–O bond lengths. In the eighteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 1.99–2.01 Å. In the nineteenth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There is one shorter (1.99 Å) and three longer (2.00 Å) Mg–O bond length. In the twentieth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.14 Å. In the twenty-first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.13 Å. In the twenty-second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. In the twenty-third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.13 Å. In the twenty-fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.05–2.13 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.11 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six MgO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Ti4+ atom. In the ninete

36 MATERIALS SCIENCE↗

Materials Data on Li2MnCrO4 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li5(NiO2)4 by Materials Project

Li5(NiO2)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.26 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.00–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fifth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the sixth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the tenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. All Li–O bond lengths are 1.84 Å. In the eleventh Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the fifteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.84 Å) and one longer (1.85 Å) Li–O bond length. In the sixteenth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.84 Å) and one longer (1.85 Å) Li–O bond length. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the nineteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six NiO6 octahedra, edges with four LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Li–O bond distances ranging from 1.99–2.27 Å. In the twentieth Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.84 Å) and two longer (1.85 Å) Li–O bond length. There are sixteen inequivalent Ni+2.75+ sites. In the first Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the second Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are four shorter (2.02 Å) and two longer (2.04 Å) Ni–O bond lengths. In the third Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the fourth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with three LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. In the fifth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. In the sixth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.07 Å. In the seventh Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.02–2.09 Å. In the eighth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the ninth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 2.03–2.09 Å. In the tenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.98–2.07 Å. In the eleventh Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.09 Å. In the twelfth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 2.00–2.08 Å. In the thirteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Ni–O bond distances ranging from 2.01–2.08 Å. In the fourteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Ni–O bond distances ranging from 1.97–2.07 Å. In the fifteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.07 Å. In the sixteenth Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. There are a spread of Ni–O bond distances ranging from 1.99–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–85°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form a mixture of distorted edge and corner-sharing OLi3Ni3 octahedra. The corner-sharing

36 MATERIALS SCIENCE↗

Materials Data on Na11Ti10O21 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe2Co3O10 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Re8Pb8O27 by Materials Project

Re8Pb8O27 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are sixteen inequivalent Re+4.75+ sites. In the first Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedral tilt angles are 41°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the second Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There is two shorter (1.99 Å) and four longer (2.00 Å) Re–O bond length. In the third Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–42°. All Re–O bond lengths are 2.00 Å. In the fourth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–42°. There are a spread of Re–O bond distances ranging from 1.99–2.01 Å. In the fifth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–42°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the sixth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 40–41°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the seventh Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 41–43°. There are three shorter (2.00 Å) and three longer (2.01 Å) Re–O bond lengths. In the eighth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra, edges with two equivalent PbO8 hexagonal bipyramids, and edges with four PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Re–O bond distances ranging from 1.95–2.03 Å. In the ninth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of Re–O bond distances ranging from 1.97–1.99 Å. In the tenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–39°. There is three shorter (1.99 Å) and three longer (2.00 Å) Re–O bond length. In the eleventh Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is three shorter (1.98 Å) and three longer (1.99 Å) Re–O bond length. In the twelfth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is four shorter (1.98 Å) and two longer (1.99 Å) Re–O bond length. In the thirteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–40°. There is one shorter (1.97 Å) and five longer (1.99 Å) Re–O bond length. In the fourteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There is three shorter (1.98 Å) and three longer (1.99 Å) Re–O bond length. In the fifteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra and edges with six equivalent PbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–39°. There is three shorter (1.98 Å) and three longer (2.00 Å) Re–O bond length. In the sixteenth Re+4.75+ site, Re+4.75+ is bonded to six O2- atoms to form ReO6 octahedra that share corners with six ReO6 octahedra, edges with four PbO8 hexagonal bipyramids, and edges with two equivalent PbO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–43°. There are a spread of Re–O bond distances ranging from 1.95–2.02 Å. There are sixteen inequivalent Pb2+ sites. In the first Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, an edgeedge with one PbO8 hexagonal bipyramid, edges with two equivalent PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.23–2.72 Å. In the second Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.71 Å. In the third Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.31–2.70 Å. In the fourth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.71 Å. In the fifth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are one shorter (2.33 Å) and six longer (2.70 Å) Pb–O bond lengths. In the sixth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO8 hexagonal bipyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.08–2.75 Å. In the seventh Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three PbO7 hexagonal pyramids, edges with three PbO7 hexagonal pyramids, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.32–2.72 Å. In the eighth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with five PbO8 hexagonal bipyramids, an edgeedge with one PbO7 hexagonal pyramid, and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.27–2.79 Å. In the ninth Pb2+ site, Pb2+ is bonded to seven O2- atoms to form distorted PbO7 hexagonal pyramids that share corners with three equivalent PbO7 hexagonal pyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.33–2.70 Å. In the tenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.25–2.73 Å. In the eleventh Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the twelfth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.28–2.72 Å. In the thirteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the fourteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.28–2.77 Å. In the fifteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with six PbO8 hexagonal bipyramids and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.29–2.73 Å. In the sixteenth Pb2+ site, Pb2+ is bonded to eight O2- atoms to form distorted PbO8 hexagonal bipyramids that share edges with three equivalent PbO8 hexagonal bipyramids, edges with three equivalent PbO7 hexagonal pyramids, and edges with six equivalent ReO6 octahedra. There are a spread of Pb–O bond distances ranging from 2.18–2.73 Å. There are forty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Pb2+ atoms to form distorted corner-sharing OPb4 tetrahedra. In the second O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the seventh O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the eighth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the thirteenth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Re+4.75+ and two equivalent Pb2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Re+4.75+ and two Pb2+ atoms. In the sixteenth O2- site, O2- is bonded to four Pb2+ atoms to form corner-sharing OPb4 tetrahedra. In the seventeenth O2- site, O2- is bonded

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