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Materials Data on LiV2OF5 by Materials Project

LiV2OF5 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 in a 4-coordinate geometry to one O2- and three F1- atoms. The Li–O bond length is 1.97 Å. There are a spread of Li–F bond distances ranging from 1.92–2.16 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.02 Å. There are a spread of Li–F bond distances ranging from 1.96–2.55 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to two O2- and four F1- atoms. There are one shorter (1.90 Å) and one longer (2.61 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 1.97–2.56 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.00 Å. There are a spread of Li–F bond distances ranging from 1.96–2.51 Å. There are eight inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.93–2.15 Å. In the second V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 32–41°. The V–O bond length is 1.89 Å. There are a spread of V–F bond distances ranging from 1.99–2.07 Å. In the third V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 30–39°. The V–O bond length is 1.88 Å. There are a spread of V–F bond distances ranging from 1.97–2.06 Å. In the fourth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–45°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.95–2.10 Å. In the fifth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 29–45°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 2.00–2.08 Å. In the sixth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 32–45°. The V–O bond length is 1.87 Å. There are a spread of V–F bond distances ranging from 1.97–2.10 Å. In the seventh V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 29–45°. The V–O bond length is 1.84 Å. There are a spread of V–F bond distances ranging from 1.95–2.15 Å. In the eighth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 32–45°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 2.01–2.08 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and two V3+ atoms. There are twenty inequivalent F1- sites. In the first F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the third F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms. In the fourth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to two Li1+ and two V3+ atoms. In the eighth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the ninth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two V3+ atoms. In the tenth F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and two V3+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fifteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the sixteenth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the seventeenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the eighteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the nineteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the twentieth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two V3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiV2OF5 by Materials Project

LiV2OF5 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 in a 5-coordinate geometry to one O2- and four F1- atoms. The Li–O bond length is 1.92 Å. There are a spread of Li–F bond distances ranging from 1.97–2.29 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.99 Å. There are a spread of Li–F bond distances ranging from 1.95–2.53 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to two O2- and four F1- atoms. There are one shorter (1.95 Å) and one longer (2.55 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 1.96–2.52 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.98–2.44 Å. There are eight inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–46°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.95–2.11 Å. In the second V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 29–45°. The V–O bond length is 1.84 Å. There are a spread of V–F bond distances ranging from 1.94–2.12 Å. In the third V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 25–44°. The V–O bond length is 1.89 Å. There are a spread of V–F bond distances ranging from 1.97–2.06 Å. In the fourth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 29–39°. The V–O bond length is 1.87 Å. There are a spread of V–F bond distances ranging from 1.97–2.04 Å. In the fifth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 25–42°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.96–2.09 Å. In the sixth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 32–39°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.99–2.10 Å. In the seventh V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 32–46°. The V–O bond length is 1.87 Å. There are a spread of V–F bond distances ranging from 1.99–2.08 Å. In the eighth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 32–45°. The V–O bond length is 1.88 Å. There are a spread of V–F bond distances ranging from 2.00–2.10 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and two V3+ atoms. There are twenty inequivalent F1- sites. In the first F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the second F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the seventh F1- site, F1- is bonded in a distorted T-shaped geometry to one Li1+ and two V3+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to two Li1+ and two V3+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two V3+ atoms. In the tenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the thirteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the fourteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the fifteenth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the sixteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the eighteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the nineteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the twentieth F1- site, F1- is bonded in a 2-coordinate geometry to one Li1+ and two V3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnFe5(BO3)6 by Materials Project

Li6MnFe5(BO3)6 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There is one shorter (1.96 Å) and three longer (2.01 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent MnO5 trigonal bipyramids, and corners with four FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. There are five inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.18 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.18 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. All B–O bond lengths are 1.39 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. All B–O bond lengths are 1.39 Å. In the fifth 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 sixth 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 seventh 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 eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the second O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the seventh O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with eight OLiFe2B tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with seven OLi2FeB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the eighteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnFe5(BO3)6 by Materials Project

Li6MnFe5(BO3)6 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are one shorter (2.10 Å) and four longer (2.18 Å) Mn–O bond lengths. There are five inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.18 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.17 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. There are four inequivalent B3+ sites. In the first 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 second 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 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 is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the second O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourth O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom.

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 two N3- and four O2- atoms to form a mixture of edge and corner-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are one shorter (2.12 Å) and one longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.15 Å. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.13 Å) and one longer (2.23 Å) Hf–O bond lengths. 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 HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. There are one shorter (2.14 Å) and one longer (2.18 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.15 Å) and one longer (2.18 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.07–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.24 Å. In the sixth 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 HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.19 Å) and one longer (2.28 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.16–2.20 Å. There are one shorter (2.15 Å) and one longer (2.17 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.29 Å. In the ninth 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 HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.13 Å) and one longer (2.25 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.25 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. The Hf–O bond length is 2.33 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.23 Å. There are one shorter (2.22 Å) and one longer (2.28 Å) Hf–O bond lengths. In the thirteenth 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 HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.26 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.12–2.27 Å. The Hf–O bond length is 2.23 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.15 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.25 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 HfN2O4 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 2.15–2.24 Å. The Hf–O bond length is 2.18 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 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 second 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 NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra 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 fourth 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 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 NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh 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 eighth 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 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 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 eleventh 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, and edges with four NHf4 trigonal pyramids. In the twelfth 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 thirteenth 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, edges with two NHf4 trigonal pyramids, and edges with two OHf4 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 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 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, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth 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. 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 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. In the second 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 third 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, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five O

36 MATERIALS SCIENCE↗

Materials Data on NaBi5O8 by Materials Project

NaBi5O8 crystallizes in the monoclinic Pc space group. The structure is two-dimensional and consists of one NaBi5O8 sheet oriented in the (1, 0, 0) direction. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to three O2- atoms. There are a spread of Na–O bond distances ranging from 2.26–2.45 Å. In the second Na1+ site, Na1+ is bonded in a distorted pentagonal planar geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.47–2.70 Å. There are ten inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.14–2.66 Å. In the second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.48 Å. In the third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.11–2.59 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.19–2.50 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.97 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.20–2.72 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.93 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.95 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.18–2.70 Å. In the tenth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted edge-sharing BiO5 square pyramids. There are a spread of Bi–O bond distances ranging from 2.17–2.57 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Na1+ and two Bi3+ atoms. In the second O2- site, O2- is bonded to four Bi3+ atoms to form distorted corner-sharing OBi4 tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the fourth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Na1+ and two Bi3+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Bi3+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to five Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to four Bi3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Na1+ and two Bi3+ atoms. In the ninth O2- site, O2- is bonded to one Na1+ and three Bi3+ atoms to form a mixture of distorted corner and edge-sharing ONaBi3 tetrahedra. In the tenth O2- site, O2- is bonded to four Bi3+ atoms to form distorted edge-sharing OBi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+ and two Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Bi3+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3OF11 by Materials Project

Li4V3OF11 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 4-coordinate geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.91–2.07 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.95–2.37 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.49 Å. There are a spread of Li–F bond distances ranging from 1.93–2.29 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five F1- atoms. There are a spread of Li–F bond distances ranging from 1.88–2.42 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four F1- atoms. There are a spread of Li–F bond distances ranging from 1.92–2.07 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.50 Å. There are a spread of Li–F bond distances ranging from 1.93–2.28 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.95–2.36 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five F1- atoms. There are a spread of Li–F bond distances ranging from 1.88–2.41 Å. There are six inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 34–42°. The V–O bond length is 1.90 Å. There are a spread of V–F bond distances ranging from 1.92–2.08 Å. In the second V3+ site, V3+ is bonded to six F1- atoms to form corner-sharing VF6 octahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of V–F bond distances ranging from 1.90–2.04 Å. In the third V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 34–42°. The V–O bond length is 1.90 Å. There are a spread of V–F bond distances ranging from 1.92–2.08 Å. In the fourth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 34–42°. The V–O bond length is 1.88 Å. There are a spread of V–F bond distances ranging from 1.93–2.11 Å. In the fifth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 34–42°. The V–O bond length is 1.88 Å. There are a spread of V–F bond distances ranging from 1.93–2.11 Å. In the sixth V3+ site, V3+ is bonded to six F1- atoms to form corner-sharing VF6 octahedra. The corner-sharing octahedra tilt angles range from 31–37°. There are a spread of V–F bond distances ranging from 1.93–2.04 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. There are twenty-two inequivalent F1- sites. In the first F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the second F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two V3+ atoms. In the fourth F1- site, F1- is bonded in a 4-coordinate geometry to three Li1+ and one V3+ atom. In the fifth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one V3+ atom. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to two Li1+ and one V3+ atom. In the seventh F1- site, F1- is bonded to three Li1+ and one V3+ atom to form distorted edge-sharing FLi3V trigonal pyramids. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to two Li1+ and one V3+ atom. In the ninth F1- site, F1- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one V3+ atom. In the tenth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two V3+ atoms. In the eleventh F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V3+ atoms. In the twelfth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the thirteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the fourteenth F1- site, F1- is bonded to three Li1+ and one V3+ atom to form distorted edge-sharing FLi3V trigonal pyramids. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the sixteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the eighteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to two Li1+ and one V3+ atom. In the nineteenth F1- site, F1- is bonded in a 4-coordinate geometry to three Li1+ and one V3+ atom. In the twentieth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the twenty-first F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the twenty-second F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two V3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is one shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.12–2.19 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. The Mn–O bond length is 2.09 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.16 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.13–2.24 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.16 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.27 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.20 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.20 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. The Mn–O bond length is 1.89 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.20 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There is one shorter (1.95 Å) and one longer (1.96 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.09–2.32 Å. In the tenth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.26 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.18 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of distorted edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There is one shorter (1.90 Å) and one longer (1.91 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.06–2.31 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8La4TiNb7O28 by Materials Project

Li8La4TiNb7O28 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Li–O bond distances ranging from 2.01–2.22 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.75 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, and edges with two equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.00–2.22 Å. In the fourth 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 2.09–2.11 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, an edgeedge with one TiO6 octahedra, and an edgeedge with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 2.03–2.25 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent NbO6 octahedra, corners with four equivalent LiO5 trigonal bipyramids, and edges with two NbO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. There are three inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.50–2.93 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.49–2.82 Å. In the third La3+ site, La3+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.50–2.93 Å. Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of Ti–O bond distances ranging from 1.82–2.18 Å. There are five inequivalent Nb+4.57+ sites. In the first Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four equivalent NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 7–32°. There are a spread of Nb–O bond distances ranging from 1.91–2.13 Å. In the second Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 4–35°. There are a spread of Nb–O bond distances ranging from 1.88–2.18 Å. In the third Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 5–34°. There are a spread of Nb–O bond distances ranging from 1.89–2.17 Å. In the fourth Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share a cornercorner with one NbO6 octahedra, corners with four equivalent TiO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 2–32°. There are a spread of Nb–O bond distances ranging from 1.89–2.18 Å. In the fifth Nb+4.57+ site, Nb+4.57+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with five NbO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 7–32°. There are a spread of Nb–O bond distances ranging from 1.90–2.16 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded in a T-shaped geometry to one Li1+, two La3+, and two equivalent Nb+4.57+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two equivalent Nb+4.57+ atoms. In the third O2- site, O2- is bonded to two equivalent La3+, one Ti4+, and one Nb+4.57+ atom to form distorted corner-sharing OLa2TiNb tetrahedra. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two equivalent La3+, one Ti4+, and one Nb+4.57+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent La3+ and two Nb+4.57+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent La3+ and two Nb+4.57+ atoms. In the seventh O2- site, O2- is bonded in a T-shaped geometry to one Li1+, two La3+, and two equivalent Nb+4.57+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two La3+ and two equivalent Nb+4.57+ atoms. In the ninth O2- site, O2- is bonded to two La3+ and two Nb+4.57+ atoms to form distorted OLa2Nb2 trigonal pyramids that share corners with six OLa2Nb2 tetrahedra, corners with two OLi4Nb trigonal bipyramids, and an edgeedge with one OLa2Nb2 trigonal pyramid. In the tenth O2- site, O2- is bonded to four Li1+ and one Ti4+ atom to form distorted OLi4Ti trigonal bipyramids that share a cornercorner with one OLa2TiNb tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, and edges with four equivalent OLi4Nb trigonal bipyramids. In the eleventh O2- site, O2- is bonded to four Li1+ and one Nb+4.57+ atom to form a mixture of distorted edge and corner-sharing OLi4Nb trigonal bipyramids. In the twelfth O2- site, O2- is bonded to four Li1+ and one Nb+4.57+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OLa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, a cornercorner with one OLa2Nb2 trigonal pyramid, and edges with four OLi4Ti trigonal bipyramids. In the thirteenth O2- site, O2- is bonded to four Li1+ and one Nb+4.57+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OLa2Nb2 tetrahedra, corners with four equivalent OLi4Nb trigonal bipyramids, a cornercorner with one OLa2Nb2 trigonal pyramid, and edges with four OLi4Nb trigonal bipyramids. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two equivalent La3+, one Ti4+, and one Nb+4.57+ atom. In the fifteenth O2- site, O2- is bonded to two La3+ and two equivalent Nb+4.57+ atoms to form distorted OLa2Nb2 tetrahedra that share corners with two equivalent OLi4Nb trigonal bipyramids, corners with six equivalent OLa2Nb2 trigonal pyramids, and an edgeedge with one OLa2Nb2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, two equivalent La3+, one Ti4+, and one Nb+4.57+ atom. In the seventeenth O2- site, O2- is bonded to two La3+ and two equivalent Nb+4.57+ atoms to form distorted OLa2Nb2 tetrahedra that share corners with two equivalent OLi4Nb trigonal bipyramids, corners with six equivalent OLa2Nb2 trigonal pyramids, and an edgeedge with one OLa2Nb2 tetrahedra. In the eighteenth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Nb+4.57+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two equivalent La3+ and two Nb+4.57+ atoms. In the twentieth O2- site, O2- is bonded to four Li1+ and one Nb+4.57+ atom to form distorted OLi4Nb trigonal bipyramids that share a cornercorner with one OLa2TiNb tetrahedra, corners with four equivalent OLi4Ti trigonal bipyramids, and edges with four equivalent OLi4Nb trigonal bipyramids. In the twenty-first O2- site, O2- is bonded to four Li1+ and one Nb+4.57+ atom to form a mixture of distorted edge and corner-sharing OLi4Nb trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3(BO3)3 by Materials Project

Li2Mn3(BO3)3 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 MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.89–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.10 Å. There are nine inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.29 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.08 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.27 Å. In the fourth Mn+2.33+ site, Mn+2.33+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.39 Å. In the fifth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four LiO4 tetrahedra and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 2.02–2.30 Å. In the sixth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four LiO4 tetrahedra and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.09 Å. In the seventh Mn+2.33+ site, Mn+2.33+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.06–2.27 Å. In the eighth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.01–2.22 Å. In the ninth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.02–2.21 Å. There are nine 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 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 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 is two shorter (1.38 Å) and one longer (1.40 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 1.36–1.40 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 1.37–1.40 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. 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 1.38–1.40 Å. There are twenty-seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the third O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.33+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Co2OF5 by Materials Project

Li3Co2OF5 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 two O2- and four F1- atoms to form LiO2F4 octahedra that share corners with two equivalent CoO2F4 octahedra, corners with four LiF6 octahedra, edges with four LiO2F4 octahedra, and edges with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are one shorter (2.18 Å) and one longer (2.19 Å) Li–O bond lengths. There are one shorter (2.09 Å) and three longer (2.10 Å) Li–F bond lengths. In the second Li1+ site, Li1+ is bonded to two O2- and four F1- atoms to form LiO2F4 octahedra that share corners with two equivalent CoO2F4 octahedra, corners with four LiF6 octahedra, edges with four LiO2F4 octahedra, and edges with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are one shorter (2.08 Å) and one longer (2.10 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 2.07–2.19 Å. In the third Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two equivalent CoF6 octahedra, corners with four LiO2F4 octahedra, edges with four LiF6 octahedra, and edges with four CoF6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Li–F bond distances ranging from 2.05–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with four LiO2F4 octahedra, edges with four LiO2F4 octahedra, and edges with five CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–F bond distances ranging from 1.95–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with four LiO2F4 octahedra, edges with four LiF6 octahedra, and edges with five CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–F bond distances ranging from 1.95–2.26 Å. In the sixth Li1+ site, Li1+ is bonded to two O2- and four F1- atoms to form LiO2F4 octahedra that share corners with two equivalent CoO2F4 octahedra, corners with four LiO2F4 octahedra, edges with four LiO2F4 octahedra, and edges with six CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are one shorter (2.08 Å) and one longer (2.10 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 2.08–2.18 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with two equivalent LiO2F4 octahedra, edges with four CoO2F4 octahedra, and edges with eight LiO2F4 octahedra. The corner-sharing octahedral tilt angles are 1°. There are one shorter (2.02 Å) and one longer (2.03 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.09–2.11 Å. In the second Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with two equivalent LiF6 octahedra, corners with four CoO2F4 octahedra, and edges with eight LiO2F4 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of Co–F bond distances ranging from 1.99–2.14 Å. In the third Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with two equivalent LiO2F4 octahedra, corners with four CoO2F4 octahedra, edges with two equivalent CoO2F4 octahedra, and edges with eight LiO2F4 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. Both Co–O bond lengths are 2.02 Å. There are a spread of Co–F bond distances ranging from 2.12–2.20 Å. In the fourth Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with two equivalent LiO2F4 octahedra, corners with four CoO2F4 octahedra, edges with two equivalent CoO2F4 octahedra, and edges with eight LiO2F4 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are one shorter (2.01 Å) and one longer (2.03 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.13–2.19 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co2+ atoms to form OLi3Co3 octahedra that share corners with two equivalent OLi3Co3 octahedra, corners with four FLi3Co2 square pyramids, edges with two equivalent OLi3Co3 octahedra, and edges with ten FLi3Co2 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the second O2- site, O2- is bonded to three Li1+ and three Co2+ atoms to form OLi3Co3 octahedra that share corners with two equivalent OLi3Co3 octahedra, corners with four FLi3Co2 square pyramids, edges with two equivalent OLi3Co3 octahedra, and edges with ten FLi3Co2 square pyramids. The corner-sharing octahedral tilt angles are 1°. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with seven FLi3Co2 square pyramids, edges with four OLi3Co3 octahedra, and edges with four FLi3Co2 square pyramids. In the second F1- site, F1- is bonded in a square co-planar geometry to three Li1+ and one Co2+ atom. In the third F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with two equivalent OLi3Co3 octahedra, corners with five FLi3Co2 square pyramids, an edgeedge with one OLi3Co3 octahedra, and edges with five FLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the fourth F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with seven FLi3Co2 square pyramids, edges with four OLi3Co3 octahedra, and edges with four FLi3Co2 square pyramids. In the fifth F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with two equivalent OLi3Co3 octahedra, corners with five FLi3Co2 square pyramids, an edgeedge with one OLi3Co3 octahedra, and edges with five FLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the sixth F1- site, F1- is bonded in a square co-planar geometry to three Li1+ and one Co2+ atom. In the seventh F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with two equivalent OLi3Co3 octahedra, corners with five FLi3Co2 square pyramids, an edgeedge with one OLi3Co3 octahedra, and edges with five FLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the eighth F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with seven FLi3Co2 square pyramids, edges with four OLi3Co3 octahedra, and edges with four FLi3Co2 square pyramids. In the ninth F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with two equivalent OLi3Co3 octahedra, corners with five FLi3Co2 square pyramids, an edgeedge with one OLi3Co3 octahedra, and edges with five FLi3Co2 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth F1- site, F1- is bonded to three Li1+ and two Co2+ atoms to form FLi3Co2 square pyramids that share corners with seven FLi3Co2 square pyramids, edges with four OLi3Co3 octahedra, and edges with four FLi3Co2 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.21 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.38 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. The Mn–O bond length is 2.00 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.24 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is one shorter (1.92 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.24 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.21 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. The Mn–O bond length is 2.06 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.20 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Mn–O bond length is 2.00 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.24 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.17 Å. In the tenth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There is one shorter (1.91 Å) and one longer (1.93 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.05–2.30 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. The Mn–O bond length is 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.12–2.22 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of distorted corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There is one shorter (1.90 Å) and one longer (1.94 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.07–2.28 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La20Cu9O40 by Materials Project

La20Cu9O40 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.30–3.04 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.02 Å. In the third La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–3.04 Å. In the fourth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–3.05 Å. In the fifth La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.76 Å. In the sixth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.31–3.02 Å. In the seventh La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.34–2.97 Å. In the eighth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.31–3.03 Å. In the ninth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.30–3.02 Å. In the tenth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.38–3.05 Å. There are five inequivalent Cu+2.22+ sites. In the first Cu+2.22+ site, Cu+2.22+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Cu–O bond distances ranging from 1.91–2.42 Å. In the second Cu+2.22+ site, Cu+2.22+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Cu–O bond distances ranging from 1.90–2.43 Å. In the third Cu+2.22+ site, Cu+2.22+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Cu–O bond distances ranging from 1.85–2.46 Å. In the fourth Cu+2.22+ site, Cu+2.22+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Cu–O bond distances ranging from 1.86–2.45 Å. In the fifth Cu+2.22+ site, Cu+2.22+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are four shorter (1.90 Å) and two longer (2.44 Å) Cu–O bond lengths. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form distorted OLa4Cu2 octahedra that share a cornercorner with one OLa4Cu2 octahedra, a cornercorner with one OLa4Cu square pyramid, edges with two OLa4Cu2 octahedra, and faces with four OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form distorted OLa4Cu2 octahedra that share corners with two OLa4Cu2 octahedra, an edgeedge with one OLa4Cu2 octahedra, an edgeedge with one OLa4Cu square pyramid, faces with three OLa4Cu2 octahedra, and a faceface with one OLa4Cu square pyramid. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to four La3+ and one Cu+2.22+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to five La3+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the seventh O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form distorted OLa4Cu2 octahedra that share corners with two OLa4Cu2 octahedra, an edgeedge with one OLa4Cu2 octahedra, an edgeedge with one OLa4Cu square pyramid, faces with three OLa4Cu2 octahedra, and a faceface with one OLa4Cu square pyramid. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form distorted OLa4Cu2 octahedra that share a cornercorner with one OLa4Cu2 octahedra, a cornercorner with one OLa4Cu square pyramid, edges with two OLa4Cu2 octahedra, and faces with four OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth O2- site, O2- is bonded to four La3+ and one Cu+2.22+ atom to form distorted OLa4Cu square pyramids that share a cornercorner with one OLa4Cu2 octahedra, edges with two OLa4Cu2 octahedra, edges with two equivalent OLa4Cu square pyramids, and faces with two OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the eleventh O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form a mixture of distorted corner, edge, and face-sharing OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form distorted OLa4Cu2 octahedra that share corners with two OLa4Cu2 octahedra, an edgeedge with one OLa4Cu2 octahedra, an edgeedge with one OLa4Cu square pyramid, faces with three OLa4Cu2 octahedra, and a faceface with one OLa4Cu square pyramid. The corner-sharing octahedral tilt angles are 1°. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom. In the eighteenth O2- site, O2- is bonded to four La3+ and one Cu+2.22+ atom to form distorted OLa4Cu square pyramids that share a cornercorner with one OLa4Cu2 octahedra, edges with two OLa4Cu2 octahedra, edges with two equivalent OLa4Cu square pyramids, and faces with two OLa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the nineteenth O2- site, O2- is bonded to four La3+ and two Cu+2.22+ atoms to form distorted OLa4Cu2 octahedra that share corners with two OLa4Cu2 octahedra, an edgeedge with one OLa4Cu2 octahedra, an edgeedge with one OLa4Cu square pyramid, faces with three OLa4Cu2 octahedra, and a faceface with one OLa4Cu square pyramid. The corner-sharing octahedra tilt angles range from 0–1°. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.22+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4V5(FeO6)2 by Materials Project

Li4V5(FeO6)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, corners with three VO6 octahedra, edges with two FeO6 octahedra, edges with three LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.03–2.25 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, corners with three VO6 octahedra, edges with two LiO6 octahedra, edges with two FeO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.04–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.04–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, corners with three VO6 octahedra, edges with two FeO6 octahedra, edges with four LiO6 octahedra, and edges with six VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 Å. There are five inequivalent V+2.80+ sites. In the first V+2.80+ site, V+2.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of V–O bond distances ranging from 2.04–2.07 Å. In the second V+2.80+ site, V+2.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with two VO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of V–O bond distances ranging from 2.02–2.14 Å. In the third V+2.80+ site, V+2.80+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, corners with three VO6 octahedra, edges with two FeO6 octahedra, edges with three VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–7°. There are a spread of V–O bond distances ranging from 1.99–2.18 Å. In the fourth V+2.80+ site, V+2.80+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent FeO6 octahedra, and edges with five VO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of V–O bond distances ranging from 2.00–2.12 Å. In the fifth V+2.80+ site, V+2.80+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two FeO6 octahedra, corners with three VO6 octahedra, edges with two FeO6 octahedra, edges with three VO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of V–O bond distances ranging from 2.01–2.15 Å. There are two inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with five VO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Fe–O bond distances ranging from 1.99–2.25 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two VO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, and edges with eight VO6 octahedra. The corner-sharing octahedra tilt angles range from 3–12°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, two V+2.80+, and one Fe3+ atom to form OLi2V2Fe square pyramids that share corners with three OLi3V2Fe octahedra, corners with six OLiV3Fe square pyramids, edges with six OLi3V2Fe octahedra, and edges with two OLi2V2Fe square pyramids. The corner-sharing octahedra tilt angles range from 4–12°. In the second O2- site, O2- is bonded to one Li1+, three V+2.80+, and one Fe3+ atom to form OLiV3Fe square pyramids that share corners with three OLi2V3Fe octahedra, corners with six OLiV3Fe square pyramids, edges with six OLi2V3Fe octahedra, and edges with two OLiV3Fe square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the third O2- site, O2- is bonded to one Li1+, three V+2.80+, and one Fe3+ atom to form OLiV3Fe square pyramids that share corners with three OLi2V3Fe octahedra, corners with six OLiV3Fe square pyramids, edges with six OLi3V2Fe octahedra, and edges with two OLiV3Fe square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to two Li1+, two V+2.80+, and one Fe3+ atom to form OLi2V2Fe square pyramids that share corners with three OLi3V2Fe octahedra, corners with six OLiV3Fe square pyramids, edges with six OLi3V2Fe octahedra, and edges with two OLi2V2Fe square pyramids. The corner-sharing octahedral tilt angles are 7°. In the fifth O2- site, O2- is bonded to three Li1+, two V+2.80+, and one Fe3+ atom to form OLi3V2Fe octahedra that share corners with three OLi2V3Fe octahedra, corners with three OLiV3Fe square pyramids, edges with six OLi2V3Fe octahedra, and edges with six OLi2V2Fe square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the sixth O2- site, O2- is bonded to two Li1+, three V+2.80+, and one Fe3+ atom to form OLi2V3Fe octahedra that share corners with three OLi3V2Fe octahedra, corners with three OLi2V2Fe square pyramids, edges with six OLi3V2Fe octahedra, and edges with six OLiV3Fe square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the seventh O2- site, O2- is bonded to three Li1+, two V+2.80+, and one Fe3+ atom to form OLi3V2Fe octahedra that share corners with three OLi2V3Fe octahedra, corners with three OLiV3Fe square pyramids, edges with six OLi3V2Fe octahedra, and edges with six OLi2V2Fe square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+, two V+2.80+, and one Fe3+ atom to form OLi3V2Fe octahedra that share corners with three OLi3V2Fe octahedra, corners with three OLi2V2Fe square pyramids, edges with seven OLi3V2Fe octahedra, and edges with five OLi2V2Fe square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to two Li1+, three V+2.80+, and one Fe3+ atom to form OLi2V3Fe octahedra that share corners with three OLi2V3Fe octahedra, corners with three OLiV3Fe square pyramids, edges with seven OLi3V2Fe octahedra, and edges with five OLiV3Fe square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the tenth O2- site, O2- is bonded to two Li1+, three V+2.80+, and one Fe3+ atom to form OLi2V3Fe octahedra that share corners with three OLi3V2Fe octahedra, corners with three OLi2V2Fe square pyramids, edges with six OLi2V3Fe octahedra, and edges with six OLiV3Fe square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. In the eleventh O2- site, O2- is bonded to one Li1+, three V+2.80+, and one Fe3+ atom to form OLiV3Fe square pyramids that share corners with three OLi3V2Fe octahedra, corners with six OLi2V2Fe square pyramids, edges with five OLi2V3Fe octahedra, and edges with three OLi2V2Fe square pyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the twelfth O2- site, O2- is bonded to two Li1+, two V+2.80+, and one Fe3+ atom to form OLi2V2Fe square pyramids that share corners with three OLi2V3Fe octahedra, corners with six OLi2V2Fe square pyramids, edges with five OLi3V2Fe octahedra, and edges with three OLiV3Fe square pyramids. The corner-sharing octahedra tilt angles range from 3–8°.

36 MATERIALS SCIENCE↗

Materials Data on Na(FeO2)2 by Materials Project

Na(FeO2)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na sites. In the first Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.63 Å. In the second Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.38–2.61 Å. In the third Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.39–2.53 Å. In the fourth Na site, Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.42–2.56 Å. There are eight inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–1.97 Å. In the second Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. In the third Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.06 Å. In the fourth Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.05 Å. In the fifth Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–1.97 Å. In the sixth Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.06 Å. In the seventh Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. In the eighth Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.05 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded to two Na and three Fe atoms to form distorted ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with three ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with three ONaFe3 trigonal pyramids. In the second O site, O is bonded to two Na and three Fe atoms to form ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with three ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with four ONaFe3 trigonal pyramids. In the third O site, O is bonded to two Na and three Fe atoms to form ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with three ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with three ONaFe3 trigonal pyramids. In the fourth O site, O is bonded to two Na and three Fe atoms to form ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with three ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with four ONaFe3 trigonal pyramids. In the fifth O site, O is bonded to one Na and three Fe atoms to form distorted ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with six ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and an edgeedge with one ONaFe3 trigonal pyramid. In the sixth O site, O is bonded to one Na and three Fe atoms to form distorted ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with four ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and an edgeedge with one ONaFe3 trigonal pyramid. In the seventh O site, O is bonded to one Na and three Fe atoms to form ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with six ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and an edgeedge with one ONaFe3 trigonal pyramid. In the eighth O site, O is bonded to one Na and three Fe atoms to form ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with five ONaFe3 trigonal pyramids, and edges with four ONa2Fe3 trigonal bipyramids. In the ninth O site, O is bonded to one Na and three Fe atoms to form ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with four ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and an edgeedge with one ONaFe3 trigonal pyramid. In the tenth O site, O is bonded to one Na and three Fe atoms to form ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with six ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and an edgeedge with one ONaFe3 trigonal pyramid. In the eleventh O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na and three Fe atoms. In the twelfth O site, O is bonded to one Na and three Fe atoms to form distorted ONaFe3 trigonal pyramids that share corners with four ONa2Fe3 trigonal bipyramids, corners with five ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and an edgeedge with one ONaFe3 trigonal pyramid. In the thirteenth O site, O is bonded to two Na and three Fe atoms to form distorted ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with four ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with three ONaFe3 trigonal pyramids. In the fourteenth O site, O is bonded to two Na and three Fe atoms to form ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with four ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with three ONaFe3 trigonal pyramids. In the fifteenth O site, O is bonded to two Na and three Fe atoms to form distorted ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with four ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with four ONaFe3 trigonal pyramids. In the sixteenth O site, O is bonded to two Na and three Fe atoms to form distorted ONa2Fe3 trigonal bipyramids that share corners with five ONa2Fe3 trigonal bipyramids, corners with four ONaFe3 trigonal pyramids, edges with four ONa2Fe3 trigonal bipyramids, and edges with four ONaFe3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Cr2Fe5O12 by Materials Project

Li4Cr2Fe5O12 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with three LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Li–O bond distances ranging from 2.02–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two LiO6 octahedra, edges with two CrO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Li–O bond distances ranging from 2.05–2.31 Å. There are two inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Cr–O bond distances ranging from 2.00–2.10 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Cr–O bond distances ranging from 2.00–2.09 Å. There are five inequivalent Fe+2.80+ sites. In the first Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the second Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with two FeO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Fe–O bond distances ranging from 2.01–2.12 Å. In the third Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with three FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the fourth Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CrO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–12°. There are a spread of Fe–O bond distances ranging from 2.09–2.20 Å. In the fifth Fe+2.80+ site, Fe+2.80+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CrO6 octahedra, corners with three FeO6 octahedra, edges with two CrO6 octahedra, edges with three FeO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–12°. There are a spread of Fe–O bond distances ranging from 2.01–2.18 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi2CrFe2 square pyramids that share corners with three OLi3CrFe2 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with two OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–14°. In the second O2- site, O2- is bonded to one Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLiCrFe3 square pyramids that share corners with three OLi2CrFe3 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi2CrFe3 octahedra, and edges with two OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the third O2- site, O2- is bonded to two Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi2CrFe2 square pyramids that share corners with three OLi3CrFe2 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with two OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–8°. In the fourth O2- site, O2- is bonded to one Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLiCrFe3 square pyramids that share corners with three OLi2CrFe3 octahedra, corners with six OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with two OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the fifth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi3CrFe2 octahedra that share corners with three OLi2CrFe3 octahedra, corners with three OLiCrFe3 square pyramids, edges with six OLi2CrFe3 octahedra, and edges with six OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the sixth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLi2CrFe3 octahedra that share corners with three OLi3CrFe2 octahedra, corners with three OLi2CrFe2 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with six OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the seventh O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi3CrFe2 octahedra that share corners with three OLi3CrFe2 octahedra, corners with three OLi2CrFe2 square pyramids, edges with seven OLi3CrFe2 octahedra, and edges with five OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi3CrFe2 octahedra that share corners with three OLi2CrFe3 octahedra, corners with three OLiCrFe3 square pyramids, edges with six OLi3CrFe2 octahedra, and edges with six OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLi2CrFe3 octahedra that share corners with three OLi2CrFe3 octahedra, corners with three OLiCrFe3 square pyramids, edges with seven OLi3CrFe2 octahedra, and edges with five OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the tenth O2- site, O2- is bonded to two Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLi2CrFe3 octahedra that share corners with three OLi3CrFe2 octahedra, corners with three OLi2CrFe2 square pyramids, edges with six OLi2CrFe3 octahedra, and edges with six OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the eleventh O2- site, O2- is bonded to one Li1+, one Cr3+, and three Fe+2.80+ atoms to form OLiCrFe3 square pyramids that share corners with three OLi3CrFe2 octahedra, corners with six OLi2CrFe2 square pyramids, edges with five OLi2CrFe3 octahedra, and edges with three OLi2CrFe2 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the twelfth O2- site, O2- is bonded to two Li1+, one Cr3+, and two Fe+2.80+ atoms to form OLi2CrFe2 square pyramids that share corners with three OLi2CrFe3 octahedra, corners with six OLi2CrFe2 square pyramids, edges with five OLi3CrFe2 octahedra, and edges with three OLiCrFe3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°.

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn8(BO3)8 by Materials Project

Li5Mn8(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 MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.16 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids 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 1.91–2.13 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 2.03–2.68 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 1.91–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids 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 1.94–2.08 Å. There are eight inequivalent Mn+2.38+ sites. In the first Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.07 Å. In the second Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.05 Å. In the third Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.06 Å. In the fourth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.20 Å. In the fifth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.21 Å. In the sixth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.19 Å. In the seventh Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.42 Å. In the eighth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.37 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 1.37–1.41 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 1.35–1.43 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 1.34–1.42 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 1.35–1.42 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 1.35–1.42 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 1.36–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.46 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.24 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. Both Mn–O bond lengths are 1.91 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.28 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–56°. Both Mn–O bond lengths are 1.94 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.28 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.14 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Mn–O bond length is 1.97 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.21 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are one shorter (1.99 Å) and one longer (2.01 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.13–2.29 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.19 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.28 Å. In the tenth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.15 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. The Mn–O bond length is 1.94 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.18 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. The Mn–O bond length is 2.01 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.34 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗