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Materials Data on Li3Fe4(BO3)4 by Materials Project

Li3Fe4(BO3)4 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 in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.01–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.25 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.11 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.22 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.20 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.31 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.91–2.20 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.27 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.28 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 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 1.35–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the seventh 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 eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe4(BO3)4 by Materials Project

Li3Fe4(BO3)4 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 LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.66 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–1.99 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.36 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.31 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.24 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.11 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.02 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.26 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.37 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 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. 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 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two equivalent OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Fe+2.25+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and corners with four OLi2FeB trigonal pyramids. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Fe+2.25+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4TiV8O18 by Materials Project

Li4TiV8O18 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.13–2.21 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.19–2.60 Å. In the third Li1+ site, Li1+ is bonded in a 2-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.18–2.61 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent TiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one TiO6 octahedra, edges with three VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 11–75°. There are a spread of Li–O bond distances ranging from 2.11–2.33 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.22–2.58 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.42 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, corners with four VO6 octahedra, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 12–73°. There are a spread of Li–O bond distances ranging from 2.08–2.39 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.90–2.15 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent TiO6 octahedra, edges with two equivalent VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. There are sixteen inequivalent V+3.50+ sites. In the first V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent LiO5 trigonal bipyramids, edges with six VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of V–O bond distances ranging from 1.90–2.01 Å. In the second V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with four VO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of V–O bond distances ranging from 1.85–2.09 Å. In the third V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 47–66°. There are a spread of V–O bond distances ranging from 1.97–2.04 Å. In the fourth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the fifth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.90–2.05 Å. In the sixth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 1.93–1.99 Å. In the seventh V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the eighth V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of V–O bond distances ranging from 1.99–2.04 Å. In the ninth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent VO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of V–O bond distances ranging from 1.89–2.12 Å. In the tenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with six VO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of V–O bond distances ranging from 1.84–2.03 Å. In the eleventh V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of V–O bond distances ranging from 1.95–2.06 Å. In the twelfth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, edges with four VO6 octahedra, and edges with two equivalent LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of V–O bond distances ranging from 1.98–2.07 Å. In the thirteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.88–2.01 Å. In the fourteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO5 square pyramids and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.92–2.05 Å. In the fifteenth V+3.50+ site, V+3.50+ is bonded to six O2- atoms to form VO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent VO5 square pyramids, and edges with four VO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of V–O bond distances ranging from 2.01–2.05 Å. In the sixteenth V+3.50+ site, V+3.50+ is bonded to five O2- atoms to form VO5 square pyramids that share corners with six VO6 octahedra and edges with two equivalent VO5 square pyramids. The corner-sharing octahedra tilt angles range from 47–65°. There are a spread of V–O bond distances ranging from 1.97–2.03 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.50+ atoms. In the third O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form OLi2V3 square pyramids that share corners with four OLiV3 trigonal pyramids and edges with two equivalent OLi2V3 square pyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with four OLi2V3 trigonal bipyramids and corners with two equivalent OLiV3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form a mixture of edge and corner-sharing OLi2V3 square pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the tenth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLiV3 trigonal pyramids, and edges with two equivalent OLi2V3 square pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three V+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent V+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three V+3.50+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form OLi2V3 square pyramids that share corners with two equivalent OLi2V3 square pyramids, edges with three OLi2V3 square pyramids, and edges with two equivalent OLiV3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three V+3.50+ atoms to form distorted OLiV3 trigonal pyramids that share corners with two equivalent OLi2V3 square pyramids, corners with two equivalent OLi2Ti2V trigonal bipyramids, and corners with two equivalent OLiV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three V+3.50+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three V+3.50+ atoms to form distorted OLi2V3 trigonal bipyramids that share corners with two equivalent OLiV3 trigonal pyramids and edges with two equivalent OLi2V3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a square co-planar geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three V+3.50+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three V+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent V+3.50+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one V+3.50+ atom to form distorted OLi2Ti2V trigonal bipyramids that share corners with two equivalent OLi2V3 trigonal bipyramids, corners with two equivalent OLiV3 trigonal pyramids, and edges with three OLi2Ti2V tr

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn12Ni4O31 by Materials Project

Li8Mn12Ni4O31 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the second Li1+ site, Li1+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–1.93 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with eight MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one NiO5 square pyramid. The corner-sharing octahedra tilt angles range from 55–66°. There is two shorter (1.98 Å) and two longer (2.00 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra, corners with seven MnO6 octahedra, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with eight MnO6 octahedra, a cornercorner with one MnO5 square pyramid, and a cornercorner with one NiO5 square pyramid. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two NiO6 octahedra, corners with seven MnO6 octahedra, a cornercorner with one NiO5 square pyramid, and corners with two MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. There are twelve inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.86–1.98 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one NiO5 square pyramid, corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.96 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one NiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra, edges with two NiO6 octahedra, edges with three MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the tenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the eleventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, edges with two MnO6 octahedra, an edgeedge with one NiO5 square pyramid, and edges with two MnO5 square pyramids. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one NiO5 square pyramid, corners with five LiO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.07 Å. There are four inequivalent Ni+2.50+ sites. In the first Ni+2.50+ site, Ni+2.50+ is bonded to five O2- atoms to form NiO5 square pyramids that share corners with two MnO5 square pyramids, corners with five LiO4 tetrahedra, and edges with four MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.99–2.06 Å. In the second Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are a spread of Ni–O bond distances ranging from 2.06–2.10 Å. In the third Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are one shorter (2.08 Å) and five longer (2.09 Å) Ni–O bond lengths. In the fourth Ni+2.50+ site, Ni+2.50+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five LiO4 tetrahedra, edges with five MnO6 octahedra, and an edgeedge with one MnO5 square pyramid. There are three shorter (2.08 Å) and three longer (2.09 Å) Ni–O bond lengths. There are thirty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni tetrahedra. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Ni tetrahedra, corners with six OLiMn3 trigonal pyramids, and edges with two OLiMn2Ni trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra and corners with five OLiMn2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with two OLiMn2Ni tetrahedra, corners with four OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 trigonal pyramids and an edgeedge with one OLiMn2Ni trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra and corners with six OLiMn2Ni trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share a cornercorner with one OLiMn2Ni tetrahedra, corners with five OLiMn3 trigonal pyramids, and an edgeedge with one OLiMn2Ni trigonal pyramid. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with five OLiMn2Ni trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with three OLiMn2Ni tetrahedra, corners with three OLiMn2Ni trigonal pyramids, and edges with three OLiMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Ni+2.50+ atom to form a

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 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 1.91–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.03 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 2.03–2.61 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.25 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 1.91–2.12 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.15 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ 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 2.05–2.22 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.08 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.29 Å. In the fourth Mn+2.25+ site, Mn+2.25+ 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 1.98–2.21 Å. In the fifth Mn+2.25+ site, Mn+2.25+ 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 2.09–2.25 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 2.04–2.34 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.35 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 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 1.37–1.42 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 1.36–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and corners with two equivalent OLi2MnB trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, 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+2.25+, 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+2.25+, 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+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3NiO8 by Materials Project

Li2NiTi3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.99–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 2.00–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are two shorter (2.00 Å) and two longer (2.01 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.11 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three NiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ni–O bond distances ranging from 1.97–2.01 Å. In the second Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Ni–O bond distances ranging from 1.98–2.00 Å. In the third Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ni–O bond distances ranging from 1.98–2.01 Å. In the fourth Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There is three shorter (1.98 Å) and one longer (2.01 Å) Ni–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OLiTi2Ni trigonal pyramids. In the sixth O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form distorted OTi3Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OLiTi2Ni trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OTi3Ni trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OTi3Ni trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Ni trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OLiTi2Ni trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OTi3Ni trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form distorted OLiTi2Ni trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OTi3Ni trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OTi3Ni trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Ni trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Ni trigonal pyramids. In the twenty-second O2- site, O2- is bonded to three Ti4+ and one Ni2+ atom to form a mixture of distorted corner and edge-sharing OTi3Ni trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+,

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn3Cu2(PO4)6 by Materials Project

Li5Mn3Cu2(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 1-coordinate geometry to one Cu1+ and four O2- atoms. The Li–Cu bond length is 2.33 Å. There are a spread of Li–O bond distances ranging from 1.64–2.27 Å. In the second Li1+ site, Li1+ is bonded in a 2-coordinate geometry to one Cu1+ and three O2- atoms. The Li–Cu bond length is 2.31 Å. There are a spread of Li–O bond distances ranging from 1.92–2.67 Å. In the third Li1+ site, Li1+ is bonded in a 1-coordinate geometry to two O2- atoms. There is one shorter (1.57 Å) and one longer (2.19 Å) Li–O bond length. In the fourth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to one P5+ and three O2- atoms. The Li–P bond length is 1.96 Å. There are a spread of Li–O bond distances ranging from 1.43–2.23 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.38 Å. There are three inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.61–1.87 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.99–2.46 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 2.03–2.49 Å. There are two inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded in a 8-coordinate geometry to two Li1+ and six O2- atoms. There are a spread of Cu–O bond distances ranging from 2.28–2.69 Å. In the second Cu1+ site, Cu1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.69–1.94 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.73–2.07 Å. In the second P5+ site, P5+ is bonded in a distorted L-shaped geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.23–1.99 Å. In the third P5+ site, P5+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.43–1.73 Å. In the fourth P5+ site, P5+ is bonded in a 5-coordinate geometry to one Li1+ and four O2- atoms. There are a spread of P–O bond distances ranging from 1.56–2.15 Å. In the fifth P5+ site, P5+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.42–1.66 Å. In the sixth P5+ site, P5+ is bonded in a distorted L-shaped geometry to three O2- atoms. There are a spread of P–O bond distances ranging from 1.10–2.15 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.67+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to one P5+ atom. In the third O2- site, O2- is bonded in a single-bond geometry to one Li1+ and one Cu1+ atom. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mn+3.67+, one Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one Cu1+, one P5+, and one O2- atom. The O–O bond length is 1.54 Å. In the seventh O2- site, O2- is bonded in a distorted water-like geometry to one Mn+3.67+, one Cu1+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one Li1+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to one Mn+3.67+, one Cu1+, one P5+, and two O2- atoms. The O–O bond length is 1.45 Å. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one P5+, and one O2- atom. The O–O bond length is 1.54 Å. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn+3.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Mn+3.67+, one P5+, and one O2- atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Mn+3.67+, one Cu1+, one P5+, and two O2- atoms. The O–O bond length is 1.62 Å. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted single-bond geometry to one Li1+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cu1+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one Cu1+, one P5+, and one O2- atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.67+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.67+, one Cu1+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted L-shaped geometry to two Li1+ and one Cu1+ atom. In the twenty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.67+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 1.97–2.09 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, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.10 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, 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 2.11–2.30 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, 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 2.07–2.30 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.28 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, 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 2.06–2.25 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 2.06–2.34 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 2.03–2.43 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 1.95–2.05 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.12 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 1.37–1.42 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 (1.41 Å) B–O bond length. 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 1.36–1.41 Å. 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 (1.41 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 1.35–1.42 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 1.35–1.41 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 1.35–1.45 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 1.38–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLi2MnB trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and corners with two equivalent OLi2MnB trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLi2MnB trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 corners with two LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.21 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.03 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.67 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.32 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form 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 1.96–2.08 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.93–2.15 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.05–2.65 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.22 Å. In the sixth Mn+2.25+ site, Mn+2.25+ 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 2.09–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.25 Å. In the eighth Mn+2.25+ site, Mn+2.25+ 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 2.07–2.29 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 1.37–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 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 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 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 1.35–1.44 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 is two shorter (1.37 Å) and one 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. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted OLi2MnB tetrahedra that share corners with two OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, 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 2.00–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 1.96–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.62 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.12 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.26 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.13–2.23 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.27 Å. In the fourth Mn+2.25+ site, Mn+2.25+ 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 1.97–2.11 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.27 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.08 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.33 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 1.36–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 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 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.44 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted OLi2MnB trigonal pyramids that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, 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+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twelfth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted OLi2MnB trigonal pyramids that share corners with two OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.03 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 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, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. 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 four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.04 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, 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 2.07–2.36 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 2.07–2.22 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, 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 2.11–2.35 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.99–2.12 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, 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 2.07–2.31 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, 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 2.11–2.27 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.14 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 1.38–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. 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. There are a spread of B–O bond distances ranging from 1.38–1.40 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 1.35–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLi2MnB trigonal pyramid and an edgeedge with one OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with two equivalent OLi2MnB trigonal pyramids and an edgeedge with one OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLi2MnB trigonal pyramid and an edgeedge with one OLiMn2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 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, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.07 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, 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 2.07–2.26 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, 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 2.10–2.29 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 2.04–2.22 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, 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 2.08–2.29 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, 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 2.11–2.31 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.32 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.14 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 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 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 1.37–1.40 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 1.36–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 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 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 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, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.06 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, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.28 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, 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 2.10–2.28 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.13 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, 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 2.09–2.32 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, 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 2.04–2.24 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, 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 2.08–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.28 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.16 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 1.37–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the sixth 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 seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLi2MnB trigonal pyramid and an edgeedge with one OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLi2MnB trigonal pyramid and an edgeedge with one OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMnV(P2O7)2 by Materials Project

LiVMn(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the second Li1+ site, Li1+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. There are two inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. In the second V5+ site, V5+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.02 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.26 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.31 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–48°. There is three shorter (1.53 Å) and one longer (1.63 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–47°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two MnO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–51°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–52°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V5+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V5+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V5+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V5+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V5+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na11TiNb2Si4P2O25F by Materials Project

Na11TiNb2Si4P2O25F is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to five O2- and one F1- atom to form NaO5F octahedra that share corners with two NaO7F hexagonal bipyramids, corners with two NbO6 octahedra, corners with two SiO4 tetrahedra, edges with two equivalent TiO5F octahedra, and edges with four NaO5F octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Na–O bond distances ranging from 2.32–2.65 Å. The Na–F bond length is 2.29 Å. In the second Na1+ site, Na1+ is bonded to five O2- and one F1- atom to form NaO5F octahedra that share corners with two NaO7F hexagonal bipyramids, corners with two NbO6 octahedra, corners with two SiO4 tetrahedra, edges with two equivalent TiO5F octahedra, and edges with four NaO5F octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Na–O bond distances ranging from 2.29–2.67 Å. The Na–F bond length is 2.41 Å. In the third Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.27–2.91 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.90 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO7F hexagonal bipyramid, corners with two SiO4 tetrahedra, corners with three PO4 tetrahedra, and an edgeedge with one NaO7F hexagonal bipyramid. There are a spread of Na–O bond distances ranging from 2.24–2.43 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form distorted NaO4 tetrahedra that share a cornercorner with one NaO8 hexagonal bipyramid, corners with two SiO4 tetrahedra, corners with three PO4 tetrahedra, and an edgeedge with one NaO8 hexagonal bipyramid. There are a spread of Na–O bond distances ranging from 2.24–2.44 Å. In the seventh Na1+ site, Na1+ is bonded to seven O2- and one F1- atom to form distorted NaO7F hexagonal bipyramids that share corners with two equivalent NaO7F hexagonal bipyramids, a cornercorner with one TiO5F octahedra, corners with two NaO5F octahedra, a cornercorner with one NaO4 tetrahedra, a cornercorner with one PO4 tetrahedra, edges with two equivalent NbO6 octahedra, an edgeedge with one NaO4 tetrahedra, and edges with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–67°. There are a spread of Na–O bond distances ranging from 2.36–2.90 Å. The Na–F bond length is 2.30 Å. In the eighth Na1+ site, Na1+ is bonded to eight O2- atoms to form distorted NaO8 hexagonal bipyramids that share corners with two equivalent NaO8 hexagonal bipyramids, a cornercorner with one TiO5F octahedra, corners with two NaO5F octahedra, a cornercorner with one NaO4 tetrahedra, a cornercorner with one PO4 tetrahedra, edges with two equivalent NbO6 octahedra, an edgeedge with one NaO4 tetrahedra, and edges with four SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–69°. There are a spread of Na–O bond distances ranging from 2.35–2.90 Å. In the ninth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.67 Å. In the tenth Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.28–2.67 Å. In the eleventh Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with two NbO6 octahedra, corners with four SiO4 tetrahedra, edges with two equivalent TiO5F octahedra, and edges with four NaO5F octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Na–O bond distances ranging from 2.33–2.63 Å. Ti4+ is bonded to five O2- and one F1- atom to form TiO5F octahedra that share corners with two NaO7F hexagonal bipyramids, corners with four SiO4 tetrahedra, and edges with six NaO5F octahedra. There are a spread of Ti–O bond distances ranging from 1.72–2.07 Å. The Ti–F bond length is 2.20 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three NaO5F octahedra, a cornercorner with one PO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two equivalent NaO7F hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Nb–O bond distances ranging from 1.80–2.27 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three NaO5F octahedra, a cornercorner with one PO4 tetrahedra, corners with four SiO4 tetrahedra, and edges with two equivalent NaO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 52–62°. There are a spread of Nb–O bond distances ranging from 1.80–2.28 Å. There are four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO5F octahedra, corners with two NaO5F octahedra, corners with two equivalent NbO6 octahedra, a cornercorner with one NaO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent NaO7F hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 29–68°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO5F octahedra, corners with two NaO5F octahedra, corners with two equivalent NbO6 octahedra, a cornercorner with one NaO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent NaO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 28–68°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO5F octahedra, corners with two NaO5F octahedra, corners with two equivalent NbO6 octahedra, a cornercorner with one NaO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent NaO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 36–62°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO5F octahedra, corners with two NaO5F octahedra, corners with two equivalent NbO6 octahedra, a cornercorner with one NaO4 tetrahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent NaO7F hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 36–62°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO7F hexagonal bipyramid, a cornercorner with one NbO6 octahedra, and corners with three NaO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.55–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NaO8 hexagonal bipyramid, a cornercorner with one NbO6 octahedra, and corners with three NaO4 tetrahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.55–1.59 Å. There are twenty-five inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and one P5+ atom to form distorted corner-sharing ONa3P tetrahedra. In the second O2- site, O2- is bonded to three Na1+ and one P5+ atom to form distorted corner-sharing ONa3P tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti4+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti4+, and one Si4+ atom. In the fifth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form distorted corner-sharing ONa3P trigonal pyramids. In the sixth O2- site, O2- is bonded to three Na1+ and one P5+ atom to form distorted corner-sharing ONa3P trigonal pyramids. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Nb5+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Na1+, one Nb5+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Nb5+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Nb5+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Nb5+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to three Na1+, one Nb5+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to three Na1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one Nb5+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Nb5+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Nb5+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Nb5+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+, one Nb5+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti4+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+, one Ti4+, and one Si4+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Na1+ and one Ti4+ atom. F1- is bonded in a distorted rectangular see-saw-like geometry to three Na1+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6V3P8O29 by Materials Project

Li6V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.30 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 67–68°. There are a spread of Li–O bond distances ranging from 1.87–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.25 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three VO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 68°. There are a spread of Li–O bond distances ranging from 1.85–2.28 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.24 Å. In the tenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.38 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.23 Å. In the twelfth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.68 Å. There are six inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.84–2.02 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.05 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.02 Å. In the fourth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–2.07 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.02 Å. In the sixth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.89–2.05 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–46°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–47°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–36°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–35°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 45°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–45°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–46°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–36°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–34°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–47°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with four LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–48°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V4+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V4+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V4+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal p

36 MATERIALS SCIENCE↗

Materials Data on Fe4As5O13 by Materials Project

Fe4As5O13 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Fe–O bond distances ranging from 2.05–2.12 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Fe–O bond distances ranging from 1.98–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Fe–O bond distances ranging from 2.03–2.14 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Fe–O bond distances ranging from 1.93–2.24 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Fe–O bond distances ranging from 1.97–2.16 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Fe–O bond distances ranging from 2.05–2.33 Å. There are ten inequivalent As+2.80+ sites. In the first As+2.80+ site, As+2.80+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.80–1.84 Å. In the second As+2.80+ site, As+2.80+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.80–1.85 Å. In the third As+2.80+ site, As+2.80+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.77–1.90 Å. In the fourth As+2.80+ site, As+2.80+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.78–1.97 Å. In the fifth As+2.80+ site, As+2.80+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.80–1.87 Å. In the sixth As+2.80+ site, As+2.80+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.80–1.85 Å. In the seventh As+2.80+ site, As+2.80+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There is two shorter (1.79 Å) and one longer (1.89 Å) As–O bond length. In the eighth As+2.80+ site, As+2.80+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.79–1.84 Å. In the ninth As+2.80+ site, As+2.80+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.82–1.84 Å. In the tenth As+2.80+ site, As+2.80+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of As–O bond distances ranging from 1.80–1.85 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one As+2.80+ atom. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Fe3+ and one As+2.80+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one As+2.80+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one As+2.80+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one As+2.80+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe3+ and one As+2.80+ atom. In the fourteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Fe3+ and one As+2.80+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe3+ and one As+2.80+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to one Fe3+ and two As+2.80+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Fe3+ and two As+2.80+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe3+ and one As+2.80+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two As+2.80+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two As+2.80+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMnP2O7 by Materials Project

LiMnP2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 69°. There are a spread of Li–O bond distances ranging from 1.83–1.97 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of Li–O bond distances ranging from 1.86–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 square pyramid, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, corners with three PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.25 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.83–2.11 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.81–1.99 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO5 square pyramid, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.80–2.21 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.36 Å. There are eight inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.24 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.43 Å. In the third Mn3+ site, Mn3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the fourth Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.08 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 square pyramid, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.26 Å. In the sixth Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.24 Å. In the seventh Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.66 Å. In the eighth Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share a cornercorner with one LiO5 square pyramid and corners with five PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.11 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two MnO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 41°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–49°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two MnO5 square pyramids, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 42°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one MnO5 square pyramid, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 29–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of P–O bond distances ranging from 1.48–1.59 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one PO4 tetrahedra and a cornercorner with one LiO4 trigonal pyramid. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a water-like geometry to one Mn3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the nineteenth O2- site, O2- i

36 MATERIALS SCIENCE↗