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Materials Data on Li10Co4O9 by Materials Project

Li10Co4O9 crystallizes in the triclinic P-1 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 distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with seven LiO4 trigonal pyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with six LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.00–2.20 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with five LiO4 trigonal pyramids, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with six LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.11 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with five LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with four LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form a mixture of distorted corner and edge-sharing LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with six LiO4 trigonal pyramids, edges with two equivalent LiO5 trigonal bipyramids, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form a mixture of distorted corner and edge-sharing LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with six LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with three LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with seven LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.96–2.23 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.97 Å. In the second Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.81–1.96 Å. In the third Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the fourth Co2+ site, Co2+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Co–O bond distances ranging from 1.82–1.98 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to four Li1+ and one Co2+ atom. In the second O2- site, O2- is bonded to four Li1+ and two Co2+ atoms to form OLi4Co2 octahedra that share corners with six OLi5Co octahedra and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. In the third O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with nine OLi4Co2 octahedra, an edgeedge with one OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. In the fourth O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 41–56°. In the fifth O2- site, O2- is bonded to four Li1+ and two Co2+ atoms to form distorted OLi4Co2 octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 49–61°. In the sixth O2- site, O2- is bonded to four Li1+ and two Co2+ atoms to form distorted OLi4Co2 octahedra that share corners with five OLi5Co octahedra, edges with four OLi4Co2 octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–59°. In the seventh O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with nine OLi4Co2 octahedra, edges with three OLi5Co octahedra, and a faceface with one OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. In the eighth O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with six OLi5Co octahedra and edges with four OLi4Co2 octahedra. The corner-sharing octahedra tilt angles range from 38–62°. In the ninth O2- site, O2- is bonded to five Li1+ and one Co2+ atom to form distorted OLi5Co octahedra that share corners with nine OLi4Co2 octahedra, edges with three OLi5Co octahedra, and a faceface with one OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 37–60°.

36 MATERIALS SCIENCE↗

Materials Data on Na8Bi5O14 by Materials Project

Na8Bi5O14 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are nine 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 BiO6 octahedra, corners with three NaO6 octahedra, edges with three BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–19°. There are a spread of Na–O bond distances ranging from 2.37–2.68 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four NaO6 octahedra, edges with four NaO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 19–20°. There are a spread of Na–O bond distances ranging from 2.45–2.52 Å. In the third Na1+ site, Na1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.93 Å. In the fourth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with three BiO6 octahedra, edges with two BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–21°. There are a spread of Na–O bond distances ranging from 2.33–2.74 Å. In the fifth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with two equivalent BiO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–17°. There are a spread of Na–O bond distances ranging from 2.42–2.77 Å. In the sixth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with three BiO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Na–O bond distances ranging from 2.40–2.91 Å. In the seventh Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two NaO6 octahedra, corners with two BiO6 octahedra, edges with four BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–20°. There are a spread of Na–O bond distances ranging from 2.36–2.73 Å. In the eighth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Na–O bond distances ranging from 2.43–2.74 Å. In the ninth Na1+ site, Na1+ is bonded to six O2- atoms to form NaO6 octahedra that share corners with two equivalent NaO6 octahedra, corners with two equivalent BiO6 octahedra, edges with two equivalent BiO6 octahedra, and edges with eight NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–16°. There are a spread of Na–O bond distances ranging from 2.46–2.67 Å. There are five inequivalent Bi4+ sites. In the first Bi4+ site, Bi4+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with five NaO6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Bi–O bond distances ranging from 2.02–2.31 Å. In the second Bi4+ site, Bi4+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share a cornercorner with one BiO6 octahedra, corners with four NaO6 octahedra, edges with three BiO6 octahedra, and edges with seven NaO6 octahedra. The corner-sharing octahedra tilt angles range from 7–21°. There are a spread of Bi–O bond distances ranging from 2.07–2.68 Å. In the third Bi4+ site, Bi4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.89 Å. In the fourth Bi4+ site, Bi4+ is bonded to six O2- atoms to form BiO6 octahedra that share corners with three NaO6 octahedra, edges with four BiO6 octahedra, and edges with six NaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Bi–O bond distances ranging from 2.07–2.32 Å. In the fifth Bi4+ site, Bi4+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two BiO6 octahedra, corners with three NaO6 octahedra, edges with four NaO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Bi–O bond distances ranging from 2.19–2.74 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Na1+ and one Bi4+ atom. In the second O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with four ONa5Bi octahedra, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with five OBi6 octahedra, edges with four ONa3Bi2 square pyramids, and edges with two equivalent ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 0–19°. In the third O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with two ONa4Bi2 octahedra, corners with three ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with eight OBi6 octahedra, an edgeedge with one ONa4Bi square pyramid, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–12°. In the fourth O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form distorted ONa4Bi2 octahedra that share corners with four ONa5Bi octahedra, corners with two ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with six OBi6 octahedra, edges with three ONa2Bi3 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 8–20°. In the fifth O2- site, O2- is bonded to four Na1+ and one Bi4+ atom to form ONa4Bi square pyramids that share corners with four OBi6 octahedra, a cornercorner with one ONa3Bi2 square pyramid, corners with three ONa3Bi2 trigonal bipyramids, edges with seven ONa5Bi octahedra, and an edgeedge with one ONa4Bi square pyramid. The corner-sharing octahedra tilt angles range from 4–11°. In the sixth O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form ONa3Bi2 trigonal bipyramids that share corners with three ONa5Bi octahedra, corners with four ONa3Bi2 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with five OBi6 octahedra, an edgeedge with one ONa3Bi2 square pyramid, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 12–37°. In the seventh O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form distorted ONa3Bi2 trigonal bipyramids that share corners with five OBi6 octahedra, corners with three ONa3Bi2 square pyramids, edges with six OBi6 octahedra, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–36°. In the eighth O2- site, O2- is bonded to six Bi4+ atoms to form distorted OBi6 octahedra that share corners with three ONa5Bi octahedra, a cornercorner with one ONa4Bi square pyramid, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with seven OBi6 octahedra, edges with three ONa3Bi2 square pyramids, and edges with two ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the ninth O2- site, O2- is bonded to five Na1+ and one Bi4+ atom to form ONa5Bi octahedra that share corners with five OBi6 octahedra, a cornercorner with one ONa2Bi3 square pyramid, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with seven ONa5Bi octahedra, edges with two ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–12°. In the tenth O2- site, O2- is bonded to three Na1+ and two Bi4+ atoms to form distorted ONa3Bi2 square pyramids that share corners with three ONa4Bi2 octahedra, corners with three ONa3Bi2 square pyramids, corners with two ONa3Bi2 trigonal bipyramids, edges with seven OBi6 octahedra, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 10–20°. In the eleventh O2- site, O2- is bonded to five Na1+ and one Bi4+ atom to form ONa5Bi octahedra that share corners with two OBi6 octahedra, corners with two ONa2Bi3 square pyramids, a cornercorner with one ONa3Bi2 trigonal bipyramid, edges with eight ONa5Bi octahedra, edges with three ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–5°. In the twelfth O2- site, O2- is bonded to two equivalent Na1+ and three Bi4+ atoms to form distorted ONa2Bi3 square pyramids that share corners with six ONa5Bi octahedra, a cornercorner with one ONa3Bi2 square pyramid, corners with two ONa3Bi2 trigonal bipyramids, edges with seven OBi6 octahedra, and an edgeedge with one ONa2Bi3 square pyramid. The corner-sharing octahedra tilt angles range from 3–91°. In the thirteenth O2- site, O2- is bonded to three Na1+ and three Bi4+ atoms to form distorted ONa3Bi3 octahedra that share corners with two ONa3Bi3 octahedra, corners with two ONa2Bi3 square pyramids, corners with two ONa3Bi2 trigonal bipyramids, edges with nine OBi6 octahedra, edges with two ONa3Bi2 square pyramids, and an edgeedge with one ONa3Bi2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–20°. In the fourteenth O2- site, O2- is bonded to four Na1+ and two Bi4+ atoms to form ONa4Bi2 octahedra that share corners with four OBi6 octahedra, corners with two ONa3Bi2 square pyramids, edges with seven OBi6 octahedra, edges with three ONa3Bi2 square pyramids, and edges with two equivalent ONa3Bi2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 2–19°.

36 MATERIALS SCIENCE↗

Materials Data on Li8Ti16CuS32 by Materials Project

Li8Ti16CuS32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one Cu1+ and six S2- atoms. The Li–Cu bond length is 2.54 Å. There are a spread of Li–S bond distances ranging from 2.40–2.72 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, edges with two LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. All Li–S bond lengths are 2.53 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, an edgeedge with one LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are four shorter (2.53 Å) and two longer (2.54 Å) Li–S bond lengths. In the fourth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, edges with three LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Li–S bond distances ranging from 2.52–2.55 Å. In the fifth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, edges with two LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are one shorter (2.52 Å) and five longer (2.53 Å) Li–S bond lengths. In the sixth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, edges with four LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are four shorter (2.52 Å) and two longer (2.54 Å) Li–S bond lengths. In the seventh Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, edges with two LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Li–S bond distances ranging from 2.50–2.56 Å. In the eighth Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with six TiS6 octahedra, edges with four LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Li–S bond distances ranging from 2.51–2.54 Å. There are sixteen inequivalent Ti+3.44+ sites. In the first Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent CuLiS4 tetrahedra, an edgeedge with one LiS6 octahedra, and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.49 Å. In the second Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six LiS6 octahedra, edges with two equivalent LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are two shorter (2.44 Å) and four longer (2.46 Å) Ti–S bond lengths. In the third Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent LiS6 octahedra, corners with two equivalent CuLiS4 tetrahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Ti–S bond distances ranging from 2.43–2.47 Å. In the fourth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent LiS6 octahedra, corners with three equivalent CuLiS4 tetrahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Ti–S bond distances ranging from 2.40–2.51 Å. In the fifth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent LiS6 octahedra, edges with two equivalent LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ti–S bond distances ranging from 2.41–2.47 Å. In the sixth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent CuLiS4 tetrahedra, an edgeedge with one LiS6 octahedra, and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.49 Å. In the seventh Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share edges with four LiS6 octahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.45–2.47 Å. In the eighth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share edges with four LiS6 octahedra and edges with six TiS6 octahedra. There are four shorter (2.46 Å) and two longer (2.47 Å) Ti–S bond lengths. In the ninth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six LiS6 octahedra, edges with two equivalent LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are a spread of Ti–S bond distances ranging from 2.43–2.47 Å. In the tenth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent LiS6 octahedra, edges with four LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Ti–S bond distances ranging from 2.44–2.48 Å. In the eleventh Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share edges with five LiS6 octahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.44–2.48 Å. In the twelfth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent LiS6 octahedra, a cornercorner with one CuLiS4 tetrahedra, edges with three LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–S bond distances ranging from 2.43–2.50 Å. In the thirteenth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six LiS6 octahedra, edges with three LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ti–S bond distances ranging from 2.43–2.48 Å. In the fourteenth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent LiS6 octahedra, a cornercorner with one CuLiS4 tetrahedra, edges with three LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–S bond distances ranging from 2.43–2.50 Å. In the fifteenth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six LiS6 octahedra, edges with four LiS6 octahedra, and edges with six TiS6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Ti–S bond distances ranging from 2.44–2.48 Å. In the sixteenth Ti+3.44+ site, Ti+3.44+ is bonded to six S2- atoms to form TiS6 octahedra that share a cornercorner with one CuLiS4 tetrahedra, edges with four LiS6 octahedra, and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.44–2.48 Å. Cu1+ is bonded to one Li1+ and four S2- atoms to form distorted CuLiS4 tetrahedra that share corners with twelve TiS6 octahedra and corners with five SLiTi3Cu square pyramids. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Cu–S bond distances ranging from 2.20–2.27 Å. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded to one Li1+, three Ti+3.44+, and one Cu1+ atom to form distorted SLiTi3Cu square pyramids that share corners with three equivalent SLi2Ti3 square pyramids, a cornercorner with one CuLiS4 tetrahedra, a cornercorner with one STi3Cu trigonal pyramid, and edges with five SLiTi3Cu square pyramids. In the second S2- site, S2- is bonded to one Li1+, three Ti+3.44+, and one Cu1+ atom to form distorted SLiTi3Cu square pyramids that share a cornercorner with one CuLiS4 tetrahedra, a cornercorner with one STi3Cu trigonal pyramid, and edges with six SLiTi3Cu square pyramids. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.44+ atoms. In the fourth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the fifth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form SLi2Ti3 square pyramids that share corners with five SLi2Ti3 square pyramids, a cornercorner with one CuLiS4 tetrahedra, and edges with five SLi2Ti3 square pyramids. In the sixth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form SLi2Ti3 square pyramids that share corners with five SLi2Ti3 square pyramids, a cornercorner with one CuLiS4 tetrahedra, and edges with five SLi2Ti3 square pyramids. In the seventh S2- site, S2- is bonded to one Li1+, three Ti+3.44+, and one Cu1+ atom to form distorted SLiTi3Cu square pyramids that share corners with three equivalent SLi2Ti3 square pyramids, a cornercorner with one CuLiS4 tetrahedra, a cornercorner with one STi3Cu trigonal pyramid, and edges with five SLiTi3Cu square pyramids. In the eighth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form a mixture of edge and corner-sharing SLi2Ti3 square pyramids. In the ninth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the tenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the eleventh S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the twelfth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the fourteenth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form a mixture of edge and corner-sharing SLi2Ti3 square pyramids. In the fifteenth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form a mixture of edge and corner-sharing SLi2Ti3 square pyramids. In the sixteenth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form SLi2Ti3 square pyramids that share corners with nine SLi2Ti3 square pyramids, edges with three SLi3Ti3 octahedra, and edges with three SLi2Ti3 square pyramids. In the seventeenth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form a mixture of edge and corner-sharing SLi2Ti3 square pyramids. In the eighteenth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form SLi2Ti3 square pyramids that share corners with five SLi2Ti3 square pyramids, an edgeedge with one SLi3Ti3 octahedra, and edges with five SLi2Ti3 square pyramids. In the nineteenth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form SLi2Ti3 square pyramids that share corners with three equivalent SLi3Ti3 octahedra, corners with two equivalent SLi2Ti3 square pyramids, and edges with six SLi2Ti3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the twentieth S2- site, S2- is bonded to two Li1+ and three Ti+3.44+ atoms to form SLi2Ti3 square pyramids that share corners with six SLi2Ti3 square pyramids, edges with three SLi3Ti3 octahedra, and edges with four SLi2Ti3 square pyramids. In the twenty-first S2- site, S2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.44+ atoms. In the

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 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 in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the fourth 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 1.93–2.70 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.89–2.50 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.11 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.20 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.26 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.21 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.14 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.24 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.11 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 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 four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.14 Å. In the third 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 2.00–2.70 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.91–2.66 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.09 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.30 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.31 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.11 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.25 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.17 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.39 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted OLi2FeB tetrahedra that share corners with two equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 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 five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.87–2.60 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.65 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.01–2.10 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.00–2.23 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.08 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.37 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.22 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.33 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.35 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Zr–N bond distances ranging from 2.16–2.26 Å. There are one shorter (2.16 Å) and one longer (2.25 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.15–2.21 Å. There are one shorter (2.25 Å) and one longer (2.28 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.27 Å. There are a spread of Zr–O bond distances ranging from 2.16–2.24 Å. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.20 Å) and one longer (2.34 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Zr–N bond distances ranging from 2.11–2.18 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.33 Å. In the sixth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Zr–N bond distances ranging from 2.14–2.21 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.11–2.23 Å. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.18–2.31 Å. The Zr–O bond length is 2.23 Å. In the ninth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are two shorter (2.16 Å) and one longer (2.24 Å) Zr–N bond lengths. There are two shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.28 Å) and one longer (2.31 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.23 Å. There are one shorter (2.26 Å) and one longer (2.31 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.15–2.30 Å. The Zr–O bond length is 2.28 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.32 Å. There are one shorter (2.24 Å) and one longer (2.26 Å) Zr–O bond lengths. In the fourteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.26 Å. The Zr–O bond length is 2.25 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Zr–N bond distances ranging from 2.15–2.25 Å. There are one shorter (2.23 Å) and one longer (2.26 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.18–2.24 Å. There are one shorter (2.20 Å) and one longer (2.23 Å) Zr–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.13 Å. There are one shorter (2.19 Å) and two longer (2.23 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are one shorter (2.11 Å) and one longer (2.14 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.09–2.20 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.22 Å. There are one shorter (2.13 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN5O octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.30 Å. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.29 Å. Both Hf–O bond lengths are 2.21 Å. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.33 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.15 Å) and one longer (2.20 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.27 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are two shorter (2.11 Å) and one longer (2.19 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.13–2.20 Å. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.27 Å. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.24 Å. There are one shorter (2.21 Å) and one longer (2.24 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.24 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.31 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.17 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.20 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bond

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 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 four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.14 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.24 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.23 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.08 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.22 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.16 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 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 four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.10 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.09 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.19 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.18 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.10 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.20 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.19 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.10 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 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 four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.16 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.23 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.99–2.05 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.20 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.14 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe4(P2O7)4 by Materials Project

Li5Fe4(P2O7)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 in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.37 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 73°. There are a spread of Li–O bond distances ranging from 1.83–1.98 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Li–O bond distances ranging from 1.79–2.62 Å. In the fourth 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 1.91–2.32 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.88–1.96 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 1.95–2.59 Å. In the seventh 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 1.94–2.52 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of Li–O bond distances ranging from 1.89–2.07 Å. In the ninth 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 1.87–2.17 Å. In the tenth 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 1.93–2.30 Å. There are eight inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.34 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.88–2.17 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.25 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.14 Å. In the fifth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.21 Å. In the sixth Fe+2.75+ site, Fe+2.75+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.07–2.62 Å. In the seventh Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.09–2.25 Å. In the eighth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.15 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–50°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 23–50°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 28–46°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 27°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–53°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 27–51°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.47–1.65 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.75+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.75+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.75+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.75+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.75+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.75+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.75+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.75+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.75+, and one P5+ atom. In th

36 MATERIALS SCIENCE↗

Materials Data on Li4Co5O9F by Materials Project

Li4Co5O9F crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form 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 2–11°. There are a spread of Li–O bond distances ranging from 2.02–2.43 Å. In the second Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form distorted LiO5F octahedra that share corners with six CoO6 octahedra, edges with four LiO5F octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 9–20°. There are a spread of Li–O bond distances ranging from 2.02–2.29 Å. The Li–F bond length is 1.94 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six CoO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–26°. There are a spread of Li–O bond distances ranging from 2.07–2.56 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are a spread of Li–O bond distances ranging from 2.10–2.26 Å. There are five inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO5F octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Co–O bond distances ranging from 1.86–1.94 Å. In the second Co3+ site, Co3+ is bonded to five O2- and one F1- atom to form CoO5F octahedra that share corners with four LiO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of Co–O bond distances ranging from 1.91–2.19 Å. The Co–F bond length is 2.27 Å. 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 3–10°. There are a spread of Co–O bond distances ranging from 1.97–2.08 Å. In the fourth Co3+ site, Co3+ is bonded to four O2- and two equivalent F1- atoms to form CoO4F2 octahedra that share corners with four LiO5F octahedra, edges with three equivalent LiO5F octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 6–26°. There are a spread of Co–O bond distances ranging from 2.00–2.22 Å. There are one shorter (2.12 Å) and one longer (2.13 Å) Co–F bond lengths. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO5F octahedra. The corner-sharing octahedra tilt angles range from 6–11°. There are a spread of Co–O bond distances ranging from 1.92–2.16 Å. There are nine 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 five OLi3Co3 octahedra, a cornercorner with one OLi2Co3 square pyramid, and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 5–6°. In the second O2- site, O2- is bonded to two equivalent Li1+ and three Co3+ atoms to form OLi2Co3 square pyramids that share corners with three OLi3Co3 octahedra, edges with five OLi3Co3 octahedra, and edges with two equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 3–14°. In the third O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with three OLi3Co3 octahedra, corners with two equivalent OLi2Co3 square pyramids, edges with seven OLi3Co3 octahedra, and edges with three equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 3–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form distorted OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, edges with ten OLi3Co3 octahedra, and edges with two equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with three OLi3Co3 octahedra, corners with two equivalent OLi2Co3 square pyramids, edges with seven OLi3Co3 octahedra, and edges with three equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 1–2°. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three Co3+ atoms to form OLi2Co3 square pyramids that share corners with three OLi3Co3 octahedra, edges with five OLi3Co3 octahedra, and edges with two equivalent OLi2Co3 square pyramids. The corner-sharing octahedra tilt angles range from 3–19°. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co3+ atoms. In the ninth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with five OLi3Co3 octahedra, a cornercorner with one OLi2Co3 square pyramid, and edges with twelve OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. F1- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li6Co6O5F11 by Materials Project

Li6Co6O5F11 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiOF5 octahedra and corners with eleven CoO3F3 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with six LiF4 tetrahedra, an edgeedge with one LiOF5 octahedra, and edges with five CoO3F3 octahedra. There are a spread of Li–F bond distances ranging from 2.00–2.20 Å. In the third Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with four LiF6 octahedra and corners with eight CoO3F3 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–F bond distances ranging from 1.93–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to one O2- and three F1- atoms to form LiOF3 tetrahedra that share corners with five LiF6 octahedra and corners with seven CoO3F3 octahedra. The corner-sharing octahedra tilt angles range from 52–62°. The Li–O bond length is 1.91 Å. There are a spread of Li–F bond distances ranging from 1.93–1.98 Å. In the fifth Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form LiOF5 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiF6 octahedra, and edges with five CoOF5 octahedra. The Li–O bond length is 2.12 Å. There are a spread of Li–F bond distances ranging from 2.06–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to four F1- atoms to form LiF4 tetrahedra that share corners with two equivalent LiOF5 octahedra and corners with ten CoO3F3 octahedra. The corner-sharing octahedra tilt angles range from 57–67°. There are a spread of Li–F bond distances ranging from 1.95–2.01 Å. There are six inequivalent Co+2.50+ sites. In the first Co+2.50+ site, Co+2.50+ is bonded to three O2- and three F1- atoms to form CoO3F3 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiF6 octahedra, and edges with five CoO3F3 octahedra. There are two shorter (2.03 Å) and one longer (2.04 Å) Co–O bond lengths. There are two shorter (2.11 Å) and one longer (2.16 Å) Co–F bond lengths. In the second Co+2.50+ site, Co+2.50+ is bonded to three O2- and three F1- atoms to form CoO3F3 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiOF5 octahedra, and edges with five CoO3F3 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. There are a spread of Co–F bond distances ranging from 2.19–2.25 Å. In the third Co+2.50+ site, Co+2.50+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with six LiO4 tetrahedra, edges with three LiF6 octahedra, and edges with three CoOF5 octahedra. The Co–O bond length is 1.84 Å. There are a spread of Co–F bond distances ranging from 2.01–2.13 Å. In the fourth Co+2.50+ site, Co+2.50+ is bonded to three O2- and three F1- atoms to form CoO3F3 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiF6 octahedra, and edges with five CoO3F3 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.00 Å. There are a spread of Co–F bond distances ranging from 2.13–2.18 Å. In the fifth Co+2.50+ site, Co+2.50+ is bonded to three O2- and three F1- atoms to form CoO3F3 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiF6 octahedra, and edges with five CoO3F3 octahedra. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. There are a spread of Co–F bond distances ranging from 2.12–2.17 Å. In the sixth Co+2.50+ site, Co+2.50+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with six LiO4 tetrahedra, edges with three LiF6 octahedra, and edges with three CoOF5 octahedra. The Co–O bond length is 1.88 Å. There are a spread of Co–F bond distances ranging from 2.01–2.14 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co+2.50+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co+2.50+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co+2.50+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co+2.50+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co+2.50+ atoms. There are eleven inequivalent F1- sites. In the first F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Co+2.50+ atoms. In the second F1- site, F1- is bonded to two Li1+ and two Co+2.50+ atoms to form a mixture of distorted corner and edge-sharing FLi2Co2 trigonal pyramids. In the third F1- site, F1- is bonded to two Li1+ and two Co+2.50+ atoms to form a mixture of distorted corner and edge-sharing FLi2Co2 trigonal pyramids. In the fourth F1- site, F1- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Co+2.50+ atom. In the fifth F1- site, F1- is bonded in a rectangular see-saw-like geometry to three Li1+ and one Co+2.50+ atom. In the sixth F1- site, F1- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co+2.50+ atoms. In the seventh F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Co+2.50+ atoms. In the eighth F1- site, F1- is bonded to two Li1+ and two Co+2.50+ atoms to form a mixture of distorted corner and edge-sharing FLi2Co2 tetrahedra. In the ninth F1- site, F1- is bonded to two Li1+ and two Co+2.50+ atoms to form a mixture of distorted corner and edge-sharing FLi2Co2 trigonal pyramids. In the tenth F1- site, F1- is bonded to two Li1+ and two Co+2.50+ atoms to form a mixture of distorted corner and edge-sharing FLi2Co2 tetrahedra. In the eleventh F1- site, F1- is bonded to two Li1+ and two Co+2.50+ atoms to form a mixture of distorted corner and edge-sharing FLi2Co2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ca11(MnN5)2 by Materials Project

Ca11(MnN5)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 3-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.34–3.06 Å. In the second Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.31–2.94 Å. In the third Ca2+ site, Ca2+ is bonded to five N3- atoms to form a mixture of distorted edge and corner-sharing CaN5 square pyramids. There are a spread of Ca–N bond distances ranging from 2.39–2.60 Å. In the fourth Ca2+ site, Ca2+ is bonded to five N3- atoms to form a mixture of distorted edge and corner-sharing CaN5 square pyramids. There are a spread of Ca–N bond distances ranging from 2.40–2.72 Å. In the fifth Ca2+ site, Ca2+ is bonded to five N3- atoms to form a mixture of distorted edge and corner-sharing CaN5 square pyramids. There are a spread of Ca–N bond distances ranging from 2.41–2.70 Å. In the sixth Ca2+ site, Ca2+ is bonded in a distorted bent 120 degrees geometry to two equivalent N3- atoms. Both Ca–N bond lengths are 2.30 Å. In the seventh Ca2+ site, Ca2+ is bonded to five N3- atoms to form a mixture of distorted edge and corner-sharing CaN5 trigonal bipyramids. There are a spread of Ca–N bond distances ranging from 2.46–2.67 Å. There are two inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded in a trigonal planar geometry to three N3- atoms. There is two shorter (1.71 Å) and one longer (1.72 Å) Mn–N bond length. In the second Mn4+ site, Mn4+ is bonded in a trigonal planar geometry to three N3- atoms. There is two shorter (1.73 Å) and one longer (1.80 Å) Mn–N bond length. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded in a 1-coordinate geometry to five Ca2+ and one Mn4+ atom. In the second N3- site, N3- is bonded in a 1-coordinate geometry to five Ca2+ and one Mn4+ atom. In the third N3- site, N3- is bonded in a 1-coordinate geometry to five Ca2+ and one Mn4+ atom. In the fourth N3- site, N3- is bonded in a 1-coordinate geometry to five Ca2+ and one Mn4+ atom. In the fifth N3- site, N3- is bonded to six Ca2+ atoms to form edge-sharing NCa6 octahedra. In the sixth N3- site, N3- is bonded to five Ca2+ atoms to form a mixture of edge and corner-sharing NCa5 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Al5(CoO4)3 by Materials Project

Al5(CoO4)3 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three equivalent CoO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the second Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Co–O bond distances ranging from 1.83–1.97 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent CoO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Co–O bond distances ranging from 1.86–2.04 Å. In the fourth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Co–O bond distances ranging from 1.81–1.97 Å. In the fifth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Co–O bond distances ranging from 1.81–2.00 Å. In the sixth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Co–O bond distances ranging from 1.79–1.96 Å. There are ten inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four CoO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.98 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four CoO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.97 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with four CoO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.98 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CoO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.94 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CoO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.98 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CoO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.94 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five CoO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–1.99 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six CoO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–1.98 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five CoO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–1.97 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five CoO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–1.99 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Co3+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co3+ and three Al3+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to one Co3+ and two Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Co3+ and two Al3+ atoms. In the fifth O2- site, O2- is bonded to one Co3+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Co trigonal pyramids. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to one Co3+ and two Al3+ atoms. In the seventh O2- site, O2- is bonded to one Co3+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Co tetrahedra. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Co3+ and two Al3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co3+ and three Al3+ atoms. In the tenth O2- site, O2- is bonded to one Co3+ and three Al3+ atoms to form distorted OAl3Co tetrahedra that share corners with three OAl2Co2 trigonal pyramids, an edgeedge with one OAl3Co tetrahedra, and edges with two OAl3Co trigonal pyramids. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Co3+ and two Al3+ atoms. In the twelfth O2- site, O2- is bonded to one Co3+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OAl3Co trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co3+ and three Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Co3+ and two Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co3+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Co3+ and two Al3+ atoms. In the eighteenth O2- site, O2- is bonded to one Co3+ and three Al3+ atoms to form distorted corner-sharing OAl3Co trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co3+ and three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Co3+ and two Al3+ atoms. In the twenty-first O2- site, O2- is bonded to two Co3+ and two Al3+ atoms to form distorted OAl2Co2 trigonal pyramids that share a cornercorner with one OAl3Co tetrahedra, corners with three OAl3Co trigonal pyramids, and edges with three OAl2Co2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to two Co3+ and two Al3+ atoms to form distorted OAl2Co2 trigonal pyramids that share a cornercorner with one OAl3Co tetrahedra, corners with four OAl3Co trigonal pyramids, and edges with three OAl2Co2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Co3+ and three Al3+ atoms to form distorted OAl3Co trigonal pyramids that share corners with two equivalent OAl3Co trigonal pyramids and edges with three OAl2Co2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to two Co3+ and two Al3+ atoms to form distorted OAl2Co2 trigonal pyramids that share a cornercorner with one OAl3Co tetrahedra, corners with three OAl3Co trigonal pyramids, and edges with three OAl2Co2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mg(AgO2)2 by Materials Project

Mg(AgO2)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. There are a spread of Mg–O bond distances ranging from 2.04–2.09 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.15 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.15 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.14 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are four shorter (2.09 Å) and two longer (2.13 Å) Mg–O bond lengths. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.15 Å. There are twelve inequivalent Ag3+ sites. In the first Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AgO4 tetrahedra, edges with three MgO6 octahedra, and edges with three AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.06–2.23 Å. In the second Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–65°. There are three shorter (2.18 Å) and one longer (2.23 Å) Ag–O bond lengths. In the third Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AgO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.10–2.25 Å. In the fourth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AgO4 tetrahedra, edges with three MgO6 octahedra, and edges with three AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.06–2.24 Å. In the fifth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two equivalent AgO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.07–2.15 Å. In the sixth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Ag–O bond distances ranging from 2.16–2.19 Å. In the seventh Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share corners with six AgO4 tetrahedra, edges with two equivalent AgO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.07–2.15 Å. In the eighth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AgO4 tetrahedra, edges with three MgO6 octahedra, and edges with three AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.06–2.21 Å. In the ninth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Ag–O bond distances ranging from 2.13–2.19 Å. In the tenth Ag3+ site, Ag3+ is bonded to six O2- atoms to form AgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AgO4 tetrahedra, edges with three MgO6 octahedra, and edges with three AgO6 octahedra. There are a spread of Ag–O bond distances ranging from 2.06–2.20 Å. In the eleventh Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with six MgO6 octahedra and corners with six AgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Ag–O bond distances ranging from 2.17–2.19 Å. In the twelfth Ag3+ site, Ag3+ is bonded to four O2- atoms to form AgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AgO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Ag–O bond distances ranging from 2.12–2.21 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ag3+ atoms. In the second O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share corners with six OMg2Ag2 tetrahedra and corners with six OMgAg3 trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ag3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Ag3+ atoms. In the fifth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with seven OMg2Ag2 tetrahedra, corners with five OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMgAg3 tetrahedra, corners with two OMgAg3 trigonal pyramids, edges with two OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, edges with two OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the eighth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with five OMgAg3 tetrahedra, corners with three OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with seven OMg2Ag2 tetrahedra, corners with five OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with five OMgAg3 tetrahedra, a cornercorner with one OAg4 trigonal pyramid, edges with two OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with seven OMg2Ag2 tetrahedra, corners with five OMgAg3 trigonal pyramids, edges with two OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with five OMgAg3 tetrahedra, corners with three OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, edges with two OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Ag3+ atoms. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, edges with two OMg2Ag2 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with six OAg4 trigonal pyramids, and edges with two OMg2Ag2 tetrahedra. In the twentieth O2- site, O2- is bonded to two Mg2+ and two Ag3+ atoms to form distorted OMg2Ag2 tetrahedra that share corners with six OMg2Ag2 tetrahedra, corners with six OMgAg3 trigonal pyramids, an edgeedge with one OMg2Ag2 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ag3+ atoms to form distorted OAg4 trigonal pyramids that share corners with four OMg2Ag2 tetrahedra, corners with three OMgAg3 trigonal pyramids, edges with two OMgAg3 tetrahedra, and an edgeedge with one OMgAg3 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share corners with four OMg2Ag2 tetrahedra, corners with three OMgAg3 trigonal pyramids, an edgeedge with one OMgAg3 tetrahedra, and edges with two OMgAg3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 trigonal pyramids that share corners with six OMg2Ag2 tetrahedra, corners with three OMgAg3 trigonal pyramids, edges with two OMgAg3 tetrahedra, and an edgeedge with one OAg4 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Ag3+ atoms to form distorted OMgAg3 tetrahedra that share corners with four OMg2Ag2 tetrahedra, corners with three OMgAg3 trigonal pyramids, an edgeedge with one OMgAg3 tetrahedra, and edges with two OMgAg3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Fe13Si2(SbO14)2 by Materials Project

Fe13Si2(SbO14)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are thirteen inequivalent Fe+2.92+ sites. In the first Fe+2.92+ site, Fe+2.92+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.65–2.46 Å. In the second Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one SbO6 octahedra, corners with two FeO6 octahedra, corners with three SiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Fe–O bond distances ranging from 1.85–2.26 Å. In the third Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one SbO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Fe–O bond distances ranging from 1.66–2.37 Å. In the fourth Fe+2.92+ site, Fe+2.92+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.65–2.49 Å. In the fifth Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one SbO6 octahedra, corners with two FeO6 octahedra, corners with three SiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Fe–O bond distances ranging from 1.85–2.24 Å. In the sixth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO5 trigonal bipyramid, edges with three FeO6 octahedra, and edges with three SbO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.32 Å. In the seventh Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one SbO6 octahedra, corners with two FeO6 octahedra, corners with three SiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 59–65°. There are a spread of Fe–O bond distances ranging from 1.93–2.32 Å. In the eighth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, edges with two SbO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.16–2.25 Å. In the ninth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, edges with two equivalent SbO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.16–2.22 Å. In the tenth Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one SbO6 octahedra, corners with two FeO6 octahedra, corners with three SiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 58–65°. There are a spread of Fe–O bond distances ranging from 1.93–2.33 Å. In the eleventh Fe+2.92+ site, Fe+2.92+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one SbO6 octahedra, corners with two FeO6 octahedra, a cornercorner with one SiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Fe–O bond distances ranging from 1.66–2.34 Å. In the twelfth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two SiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, edges with two equivalent SbO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.14–2.23 Å. In the thirteenth Fe+2.92+ site, Fe+2.92+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO5 trigonal bipyramid, edges with three FeO6 octahedra, and edges with three SbO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.30 Å. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with seven FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 59–63°. There are a spread of Si–O bond distances ranging from 1.65–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with seven FeO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Si–O bond distances ranging from 1.65–1.67 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three FeO5 trigonal bipyramids and edges with six FeO6 octahedra. There are a spread of Sb–O bond distances ranging from 1.99–2.08 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with three FeO5 trigonal bipyramids and edges with six FeO6 octahedra. There are a spread of Sb–O bond distances ranging from 1.99–2.08 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe+2.92+ atoms. In the second O2- site, O2- is bonded in a single-bond geometry to one Fe+2.92+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.92+ and one Si4+ atom. In the fourth O2- site, O2- is bonded to three Fe+2.92+ and one Si4+ atom to form distorted OFe3Si tetrahedra that share corners with five OFe3Sb tetrahedra and edges with three OFe3Si tetrahedra. In the fifth O2- site, O2- is bonded in a single-bond geometry to one Fe+2.92+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Fe+2.92+ atoms. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Fe+2.92+ and one Sb5+ atom. In the eighth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Fe+2.92+ and one Sb5+ atom. In the ninth O2- site, O2- is bonded to three Fe+2.92+ and one Si4+ atom to form a mixture of distorted edge and corner-sharing OFe3Si tetrahedra. In the tenth O2- site, O2- is bonded to three Fe+2.92+ and one Sb5+ atom to form OFe3Sb tetrahedra that share corners with five OFe3Sb tetrahedra and edges with two OFe3Si tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.92+ and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.92+ atoms. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Fe+2.92+ and one Sb5+ atom. In the fourteenth O2- site, O2- is bonded to three Fe+2.92+ and one Sb5+ atom to form distorted OFe3Sb tetrahedra that share corners with five OFe3Sb tetrahedra and edges with two OFe3Si tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.92+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.92+ and one Si4+ atom. In the seventeenth O2- site, O2- is bonded to three Fe+2.92+ and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OFe3Sb tetrahedra. In the eighteenth O2- site, O2- is bonded to three Fe+2.92+ and one Sb5+ atom to form a mixture of edge and corner-sharing OFe3Sb tetrahedra. In the nineteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Fe+2.92+ and one Sb5+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.92+ and one Sb5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.92+ and one Sb5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.92+ and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.92+ and one Sb5+ atom. In the twenty-fourth O2- site, O2- is bonded in a single-bond geometry to one Fe+2.92+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Fe+2.92+ and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe+2.92+ and one Sb5+ atom. In the twenty-seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.92+ atoms. In the twenty-eighth O2- site, O2- is bonded in a single-bond geometry to one Fe+2.92+ atom.

36 MATERIALS SCIENCE↗