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Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations
Li5(NiO2)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra, corners with six NiO6 octahedra, and edges with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–64°. There are a spread of Li–O bond distances ranging from 1.85–1.90 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent LiO6 octahedra, corners with six NiO6 octahedra, and edges with three NiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–64°. There are a spread of Li–O bond distances ranging from 1.84–1.90 Å. In the third 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 1.96–2.49 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with six NiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.25 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.24 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.20 Å. In the seventh 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 1.96–2.46 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with six NiO6 octahedra, and a faceface with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 2.07–2.24 Å. In the ninth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.24 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.55 Å. There are eight 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 three equivalent LiO6 octahedra, corners with six NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with three NiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–53°. There are a spread of Ni–O bond distances ranging from 1.97–2.33 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 three equivalent LiO6 octahedra, corners with six NiO6 octahedra, corners with three equivalent LiO4 tetrahedra, edges with three NiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–53°. There are a spread of Ni–O bond distances ranging from 1.96–2.32 Å. In the third Ni+2.75+ site, Ni+2.75+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ni–O bond distances ranging from 2.00–2.16 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 two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–47°. There are a spread of Ni–O bond distances ranging from 2.02–2.09 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 two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ni–O bond distances ranging from 1.94–2.21 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 two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Ni–O bond distances ranging from 1.98–2.18 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 two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–47°. 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 two equivalent NiO6 octahedra, a cornercorner with one LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with five NiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ni–O bond distances ranging from 1.94–2.21 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.75+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.75+ atoms. In the third O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.75+ atoms. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form edge-sharing OLi3Ni3 octahedra. In the fifth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.75+ atoms. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form edge-sharing OLi3Ni3 octahedra. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form distorted edge-sharing OLi3Ni3 pentagonal pyramids. In the eighth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form edge-sharing OLi3Ni3 octahedra. In the ninth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.75+ atoms. In the tenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.75+ atoms. In the eleventh O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form edge-sharing OLi3Ni3 octahedra. In the twelfth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form edge-sharing OLi3Ni3 octahedra. In the thirteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form distorted edge-sharing OLi3Ni3 pentagonal pyramids. In the fourteenth O2- site, O2- is bonded in a 7-coordinate geometry to four Li1+ and three Ni+2.75+ atoms. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Ni+2.75+ atoms to form edge-sharing OLi3Ni3 octahedra. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+ and three Ni+2.75+ atoms.
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
Li5(NiO2)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.07–2.18 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 five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.05–2.23 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 five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.06–2.19 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 6–14°. There are a spread of Li–O bond distances ranging from 2.05–2.31 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 five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. There are six inequivalent Ni+3.17+ sites. In the first Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Ni–O bond distances ranging from 1.89–2.14 Å. In the second Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Ni–O bond distances ranging from 1.87–2.11 Å. In the third Ni+3.17+ site, Ni+3.17+ 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 5–14°. There are a spread of Ni–O bond distances ranging from 1.88–2.06 Å. In the fourth Ni+3.17+ site, Ni+3.17+ 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 1.88–1.92 Å. In the fifth Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–12°. There are a spread of Ni–O bond distances ranging from 1.88–2.11 Å. In the sixth Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with five LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Ni–O bond distances ranging from 1.89–2.11 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and three Ni+3.17+ atoms to form OLi2Ni3 square pyramids that share corners with two OLi3Ni3 octahedra, corners with seven OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with two OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+3.17+ atoms to form OLi3Ni3 octahedra that share corners with five OLi3Ni3 octahedra, a cornercorner with one OLi2Ni3 square pyramid, edges with five OLi3Ni3 octahedra, and edges with seven OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the third O2- site, O2- is bonded to two Li1+ and three Ni+3.17+ atoms to form OLi2Ni3 square pyramids that share corners with four OLi3Ni3 octahedra, corners with five OLi2Ni3 square pyramids, edges with seven OLi3Ni3 octahedra, and an edgeedge with one OLi2Ni3 square pyramid. The corner-sharing octahedra tilt angles range from 3–5°. In the fourth O2- site, O2- is bonded to two Li1+ and three Ni+3.17+ atoms to form OLi2Ni3 square pyramids that share corners with four OLi3Ni3 octahedra, corners with five OLi2Ni3 square pyramids, edges with seven OLi3Ni3 octahedra, and an edgeedge with one OLi2Ni3 square pyramid. The corner-sharing octahedra tilt angles range from 2–4°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+3.17+ atoms to form OLi3Ni3 octahedra that share corners with three OLi3Ni3 octahedra, corners with three OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with six OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+3.17+ atoms to form OLi3Ni3 octahedra that share corners with three OLi3Ni3 octahedra, corners with three OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with six OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the seventh O2- site, O2- is bonded to two Li1+ and three Ni+3.17+ atoms to form OLi2Ni3 square pyramids that share a cornercorner with one OLi3Ni3 octahedra, corners with eight OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with two OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the eighth O2- site, O2- is bonded to two Li1+ and three Ni+3.17+ atoms to form OLi2Ni3 square pyramids that share corners with two OLi3Ni3 octahedra, corners with seven OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with two OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 7–9°. In the ninth O2- site, O2- is bonded to two Li1+ and three Ni+3.17+ atoms to form OLi2Ni3 square pyramids that share a cornercorner with one OLi3Ni3 octahedra, corners with eight OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with two OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 6°. In the tenth O2- site, O2- is bonded to three Li1+ and three Ni+3.17+ atoms to form OLi3Ni3 octahedra that share corners with three OLi3Ni3 octahedra, corners with three OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with six OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the eleventh O2- site, O2- is bonded to three Li1+ and three Ni+3.17+ atoms to form OLi3Ni3 octahedra that share corners with three OLi3Ni3 octahedra, corners with three OLi2Ni3 square pyramids, edges with six OLi3Ni3 octahedra, and edges with six OLi2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twelfth O2- site, O2- is bonded to three Li1+ and three Ni+3.17+ atoms to form OLi3Ni3 octahedra that share corners with five OLi3Ni3 octahedra, a cornercorner with one OLi2Ni3 square pyramid, edges with five OLi3Ni3 octahedra, and edges with seven OLi2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 1–3°.