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Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids 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 1.96–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.64 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.21 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.24 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, 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 2.02–2.26 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.24 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.24 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.16 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.32 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three 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 1.98–2.23 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.17 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 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 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.39 Å) B–O bond length. 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 1.33–1.43 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 1.38–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 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 4-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.38+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiFe2(BO3)2 by Materials Project

LiFe2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.67 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.91–2.05 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 1.92–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.02–2.51 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.23 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.11 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.29 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.84–2.08 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.26 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.28 Å. In the seventh Fe+2.50+ site, Fe+2.50+ 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 1.98–2.24 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.04 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 1.36–1.41 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 1.35–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 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 distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ 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+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 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 1.94–2.17 Å. In the second 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 1.96–2.14 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.91–2.56 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 1.93–2.05 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.25 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.23 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.16 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.25 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.21 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.09 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.21 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.23 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.44 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 1.38–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fifth 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. 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 (1.40 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 1.36–1.41 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 1.37–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, 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+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFe2(BO3)2 by Materials Project

LiFe2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.55 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 1.93–2.69 Å. In the third 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 1.91–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.16 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.28 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.06 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.30 Å. In the fourth Fe+2.50+ site, Fe+2.50+ 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 LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.24 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.14 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.13 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share 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 1.99–2.25 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.07 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.42 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 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.39 Å) B–O bond length. In the 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 1.36–1.40 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 1.35–1.43 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFe4(BO3)4 by Materials Project

LiFe4(BO3)4 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 to five O2- atoms to form LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.42 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.55 Å. There are eight inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.08 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.12 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.04–2.21 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.08 Å. In the fifth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.06 Å. In the sixth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.23 Å. In the seventh Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.08 Å. In the eighth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.11 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 1.34–1.42 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 1.36–1.44 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 1.37–1.42 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 1.36–1.44 Å. In the sixth 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 seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. 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 Fe+2.75+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.75+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.75+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.75+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.75+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Ni5O9F by Materials Project

Li5Ni5O9F is Caswellsilverite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO5F octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.07–2.21 Å. In the second Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form LiO5F octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–9°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. The Li–F bond length is 2.03 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Li–O bond distances ranging from 2.02–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form LiO5F octahedra that share corners with six NiO5F octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. The Li–F bond length is 2.06 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- and one F1- atom to form LiO5F octahedra that share corners with six NiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.04–2.16 Å. The Li–F bond length is 2.03 Å. There are five inequivalent Ni+2.80+ sites. In the first Ni+2.80+ site, Ni+2.80+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO5F octahedra, edges with six LiO6 octahedra, and edges with six NiO5F octahedra. The corner-sharing octahedra tilt angles range from 2–11°. There are a spread of Ni–O bond distances ranging from 1.89–2.08 Å. In the second Ni+2.80+ site, Ni+2.80+ is bonded to five O2- and one F1- atom to form NiO5F octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Ni–O bond distances ranging from 2.01–2.06 Å. The Ni–F bond length is 2.15 Å. In the third Ni+2.80+ site, Ni+2.80+ is bonded to five O2- and one F1- atom to form NiO5F octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Ni–O bond distances ranging from 1.88–2.05 Å. The Ni–F bond length is 2.19 Å. In the fourth Ni+2.80+ site, Ni+2.80+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Ni–O bond distances ranging from 1.88–2.06 Å. In the fifth Ni+2.80+ site, Ni+2.80+ is bonded to five O2- and one F1- atom to form NiO5F octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–8°. There are a spread of Ni–O bond distances ranging from 1.89–2.02 Å. The Ni–F bond length is 2.16 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra, edges with two equivalent FLi3Ni3 octahedra, and edges with ten OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the second O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with two equivalent FLi3Ni3 octahedra, corners with four OLi3Ni3 octahedra, an edgeedge with one FLi3Ni3 octahedra, and edges with eleven OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the third O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with two equivalent FLi3Ni3 octahedra, corners with four OLi3Ni3 octahedra, an edgeedge with one FLi3Ni3 octahedra, and edges with eleven OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra, edges with two equivalent FLi3Ni3 octahedra, and edges with ten OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra, an edgeedge with one FLi3Ni3 octahedra, and edges with eleven OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. In the sixth O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share a cornercorner with one FLi3Ni3 octahedra, corners with five OLi3Ni3 octahedra, an edgeedge with one FLi3Ni3 octahedra, and edges with eleven OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra, edges with two equivalent FLi3Ni3 octahedra, and edges with ten OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra, an edgeedge with one FLi3Ni3 octahedra, and edges with eleven OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the ninth O2- site, O2- is bonded to three Li1+ and three Ni+2.80+ atoms to form OLi3Ni3 octahedra that share a cornercorner with one FLi3Ni3 octahedra, corners with five OLi3Ni3 octahedra, an edgeedge with one FLi3Ni3 octahedra, and edges with eleven OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. F1- is bonded to three Li1+ and three Ni+2.80+ atoms to form FLi3Ni3 octahedra that share corners with six OLi3Ni3 octahedra and edges with twelve OLi3Ni3 octahedra. The corner-sharing octahedra tilt angles range from 2–8°.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe8(BO3)8 by Materials Project

Li3Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.64 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.95–2.14 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.76 Å. There are eight inequivalent Fe+2.62+ sites. In the first Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.06 Å. In the second Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.19 Å. In the third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.16 Å. In the fourth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.07 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.21 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.23 Å. In the seventh Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.23 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.08 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 1.36–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 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 1.35–1.43 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 1.37–1.42 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 1.36–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, 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+2.62+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe8(BO3)8 by Materials Project

Li3Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three 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 three FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.52 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.91–2.32 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.61 Å. There are eight inequivalent Fe+2.62+ sites. In the first Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.29 Å. In the second Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.10 Å. In the third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.26 Å. In the fourth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.05 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.09 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.29 Å. In the seventh Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.13 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.08 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 1.34–1.41 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 1.35–1.44 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 1.36–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 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 1.37–1.39 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. 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 Fe+2.62+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ 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+2.62+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr12Mn6O23 by Materials Project

Sr12Mn6O23 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–2.86 Å. In the second Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.71 Å. In the third Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.90 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.87 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.89 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.71 Å. There are four 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 two equivalent MnO6 octahedra and corners with two equivalent MnO5 square pyramids. The corner-sharing octahedral tilt angles are 6°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to five O2- atoms to form corner-sharing MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mn–O bond distances ranging from 1.89–1.95 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO6 octahedra and a cornercorner with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 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 two equivalent MnO6 octahedra and corners with two equivalent MnO5 square pyramids. The corner-sharing octahedral tilt angles are 1°. There is four shorter (1.94 Å) and two longer (1.97 Å) Mn–O bond length. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.67+ atoms. In the second O2- site, O2- is bonded to four Sr2+ and two Mn+3.67+ atoms to form distorted OSr4Mn2 octahedra that share corners with seven OSr5Mn octahedra, an edgeedge with one OSr4Mn2 octahedra, and faces with five OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the third O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with nine OSr5Mn octahedra, edges with six OSr5Mn octahedra, and faces with three OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Mn+3.67+ atom. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Mn+3.67+ atom. In the sixth O2- site, O2- is bonded to four Sr2+ and two Mn+3.67+ atoms to form a mixture of distorted corner and face-sharing OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.67+ atoms. In the eighth O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr5Mn octahedra, edges with five OSr5Mn octahedra, and faces with three OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the ninth O2- site, O2- is bonded to four Sr2+ and two equivalent Mn+3.67+ atoms to form distorted OSr4Mn2 octahedra that share corners with eight OSr5Mn octahedra, edges with two equivalent OSr4Mn2 octahedra, and faces with six OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 3–56°. In the tenth O2- site, O2- is bonded to four Sr2+ and two Mn+3.67+ atoms to form distorted OSr4Mn2 octahedra that share corners with eleven OSr5Mn octahedra, edges with two OSr4Mn2 octahedra, and faces with four OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the eleventh O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with ten OSr5Mn octahedra, edges with five OSr5Mn octahedra, and faces with two equivalent OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the twelfth O2- site, O2- is bonded to five Sr2+ and one Mn+3.67+ atom to form distorted OSr5Mn octahedra that share corners with ten OSr5Mn octahedra, edges with four OSr5Mn octahedra, and faces with four OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–56°.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.57 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.16 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, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.12 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.15 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.09 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, 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 1.97–2.16 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.17 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.13 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.22 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 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 1.97–2.25 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, 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 1.93–1.99 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 1.36–1.40 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 1.34–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.45 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 1.37–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. 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 planar geometry to two Fe+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe+2.38+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, 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+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cr8Ni50Mo15W2 by Materials Project

W2Mo15Cr8Ni50 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent W sites. In the first W site, W is bonded to two Cr and ten Ni atoms to form WCr2Ni10 cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, an edgeedge with one WNi10Mo2 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with six MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrNi10MoW cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. Both W–Cr bond lengths are 2.57 Å. There are a spread of W–Ni bond distances ranging from 2.53–2.58 Å. In the second W site, W is bonded to two Mo and ten Ni atoms to form WNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, an edgeedge with one WCr2Ni10 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with seven MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one CrCrNi10Mo cuboctahedra, faces with three MoCrNi10W cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. There are one shorter (2.58 Å) and one longer (2.61 Å) W–Mo bond lengths. There are a spread of W–Ni bond distances ranging from 2.53–2.59 Å. There are fifteen inequivalent Mo sites. In the first Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share a cornercorner with one WCr2Ni10 cuboctahedra, a cornercorner with one MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, an edgeedge with one WNi10Mo2 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with six MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one MoCrNi10Mo cuboctahedra, faces with two CrNi10MoW cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. There are one shorter (2.54 Å) and one longer (2.57 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.53–2.59 Å. In the second Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one WCr2Ni10 cuboctahedra, a cornercorner with one MoNi10Mo2 cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with seven MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one CrNi10MoW cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. The Mo–Mo bond length is 2.61 Å. The Mo–Cr bond length is 2.50 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the third Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoNi10MoW cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, an edgeedge with one WNi10Mo2 cuboctahedra, edges with three CrNi10Mo2 cuboctahedra, edges with eight MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, faces with four MoNi10MoW cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.57 Å) Mo–Mo bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the fourth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrNi10MoW cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, an edgeedge with one WCr2Ni10 cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one CrNi10MoW cuboctahedra, faces with three MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.56 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the fifth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with seven MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with four MoCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the sixth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share a cornercorner with one WNi10Mo2 cuboctahedra, a cornercorner with one MoNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with eight MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7MoW2 cuboctahedra, a faceface with one WNi10Mo2 cuboctahedra, faces with three MoNi10MoW cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. The Mo–Mo bond length is 2.55 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.59 Å. In the seventh Mo site, Mo is bonded to one W, one Cr, and ten Ni atoms to form MoCrNi10W cuboctahedra that share a cornercorner with one MoNi10MoW cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with six MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WNi10Mo2 cuboctahedra, a faceface with one MoNi10MoW cuboctahedra, faces with two CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. The Mo–Cr bond length is 2.53 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the eighth Mo site, Mo is bonded to one W, one Mo, and ten Ni atoms to form MoNi10MoW cuboctahedra that share corners with two MoCrNi10W cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with six MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WNi10Mo2 cuboctahedra, faces with three MoCrNi10W cuboctahedra, and faces with fourteen NiNi7Mo4W cuboctahedra. There are a spread of Mo–Ni bond distances ranging from 2.54–2.60 Å. In the ninth Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrCrNi10Mo cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with five CrNi10Mo2 cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with three CrCrNi10Mo cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. There are one shorter (2.56 Å) and one longer (2.59 Å) Mo–Cr bond lengths. There are a spread of Mo–Ni bond distances ranging from 2.52–2.58 Å. In the tenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCrNi7Mo3W cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with five MoCr2Ni10 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with twelve NiNi7Mo5 cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCr2Ni10 cuboctahedra, and faces with fourteen NiCrNi7Mo3W cuboctahedra. The Mo–Mo bond length is 2.61 Å. The Mo–Cr bond length is 2.52 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the eleventh Mo site, Mo is bonded to two Cr and ten Ni atoms to form MoCr2Ni10 cuboctahedra that share corners with two MoCr2Ni10 cuboctahedra, corners with ten NiCrNi7Mo4 cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with seven MoCr2Ni10 cuboctahedra, edges with twelve NiNi7Mo5 cuboctahedra, faces with two MoCr2Ni10 cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. Both Mo–Cr bond lengths are 2.56 Å. There are a spread of Mo–Ni bond distances ranging from 2.52–2.58 Å. In the twelfth Mo site, Mo is bonded to two Mo and ten Ni atoms to form MoNi10Mo2 cuboctahedra that share corners with two CrNi10Mo2 cuboctahedra, corners with ten NiCrNi7Mo2W2 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with three CrNi10MoW cuboctahedra, edges with seven MoCrNi10Mo cuboctahedra, edges with twelve NiCrNi7Mo3W cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCrNi7Mo3W cuboctahedra. The Mo–Mo bond length is 2.60 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.59 Å. In the thirteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCrNi10Mo cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiNi7Mo4W cuboctahedra, edges with four CrCrNi10Mo cuboctahedra, edges with eight MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo3 cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Mo bond length is 2.65 Å. The Mo–Cr bond length is 2.51 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. In the fourteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share corners with two MoCrNi10Mo cuboctahedra, corners with ten NiCr3Ni7MoW cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with five MoCrNi10Mo cuboctahedra, edges with five CrNi10MoW cuboctahedra, edges with twelve NiNi7Mo4W cuboctahedra, a faceface with one CrNi10Mo2 cuboctahedra, faces with three MoCrNi10Mo cuboctahedra, and faces with fourteen NiCrNi7Mo3W cuboctahedra. The Mo–Cr bond length is 2.53 Å. There are a spread of Mo–Ni bond distances ranging from 2.54–2.62 Å. In the fifteenth Mo site, Mo is bonded to one Mo, one Cr, and ten Ni atoms to form distorted MoCrNi10Mo cuboctahedra that share a cornercorner with one MoCr2Ni10 cuboctahedra, a cornercorner with one CrNi10Mo2 cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with four CrNi10MoW cuboctahedra, edges with eight MoNi10Mo2 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, faces with two MoCrNi10Mo cuboctahedra, faces with two CrNi10Mo2 cuboctahedra, and faces with fourteen NiCr2Ni7Mo3 cuboctahedra. The Mo–Cr bond length is 2.51 Å. There are a spread of Mo–Ni bond distances ranging from 2.53–2.62 Å. There are eight inequivalent Cr sites. In the first Cr site, Cr is bonded to one W, one Mo, and ten Ni atoms to form CrNi10MoW cuboctahedra that share a cornercorner with one MoNi10Mo2 cuboctahedra, a cornercorner with one CrNi10MoW cuboctahedra, corners with ten NiCr2Ni7Mo3 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with three CrCrNi10Mo cuboctahedra, edges with seven MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one CrNi10MoW cuboctahedra, faces with two MoNi10Mo2 cuboctahedra, and faces with fourteen NiCr3Ni7MoW cuboctahedra. There are a spread of Cr–Ni bond distances ranging from 2.51–2.57 Å. In the second Cr site, Cr is bonded to one W, one Mo, and ten Ni atoms to form CrNi10MoW cuboctahedra that share corners with two CrNi10MoW cuboctahedra, corners with ten NiNi7Mo4W cuboctahedra, an edgeedge with one CrNi10Mo2 cuboctahedra, edges with two WCr2Ni10 cuboctahedra, edges with nine MoCr2Ni10 cuboctahedra, edges with twelve NiCr2Ni7Mo2W cuboctahedra, a faceface with one WCr2Ni10 cuboctahedra, a faceface with one MoCr2Ni10 cuboctahedra, faces with two CrNi10MoW cuboctahedra, and

36 MATERIALS SCIENCE↗

Materials Data on Li3CuSbO5 by Materials Project

Li3CuSbO5 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 six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with two equivalent CuO6 octahedra, corners with two SbO6 octahedra, an edgeedge with one CuO6 octahedra, edges with three SbO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–23°. There are a spread of Li–O bond distances ranging from 1.96–2.66 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with two LiO6 octahedra, corners with three SbO6 octahedra, edges with two equivalent SbO6 octahedra, edges with four CuO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Li–O bond distances ranging from 2.06–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four LiO6 octahedra, an edgeedge with one CuO6 octahedra, edges with four SbO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.02–2.36 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, edges with three SbO6 octahedra, edges with four CuO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–23°. There are a spread of Li–O bond distances ranging from 2.05–2.45 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with two LiO6 octahedra, corners with three SbO6 octahedra, edges with two equivalent SbO6 octahedra, edges with three CuO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.10–2.30 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with two SbO6 octahedra, corners with three LiO6 octahedra, edges with two CuO6 octahedra, edges with three SbO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–23°. There are a spread of Li–O bond distances ranging from 2.01–2.61 Å. There are two inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with two SbO6 octahedra, corners with three LiO6 octahedra, edges with two equivalent CuO6 octahedra, edges with two SbO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Cu–O bond distances ranging from 1.94–2.64 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, edges with two equivalent CuO6 octahedra, edges with three SbO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–23°. There are a spread of Cu–O bond distances ranging from 1.99–2.52 Å. There are two inequivalent Sb5+ sites. In the first Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, an edgeedge with one SbO6 octahedra, edges with three CuO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–11°. There are a spread of Sb–O bond distances ranging from 1.98–2.10 Å. In the second Sb5+ site, Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one CuO6 octahedra, corners with five LiO6 octahedra, an edgeedge with one SbO6 octahedra, edges with two CuO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Sb–O bond distances ranging from 1.95–2.11 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Cu2+, and one Sb5+ atom. In the second O2- site, O2- is bonded to three Li1+, two Cu2+, and one Sb5+ atom to form OLi3Cu2Sb octahedra that share corners with five OLi4CuSb octahedra and edges with eight OLi4Sb2 octahedra. The corner-sharing octahedra tilt angles range from 3–9°. In the third O2- site, O2- is bonded to four Li1+ and two Sb5+ atoms to form distorted OLi4Sb2 octahedra that share corners with five OLi4CuSb octahedra and edges with ten OLi3Cu2Sb octahedra. The corner-sharing octahedra tilt angles range from 2–13°. In the fourth O2- site, O2- is bonded to four Li1+, one Cu2+, and one Sb5+ atom to form a mixture of edge and corner-sharing OLi4CuSb octahedra. The corner-sharing octahedra tilt angles range from 1–10°. In the fifth O2- site, O2- is bonded to four Li1+, one Cu2+, and one Sb5+ atom to form a mixture of edge and corner-sharing OLi4CuSb octahedra. The corner-sharing octahedra tilt angles range from 2–9°. In the sixth O2- site, O2- is bonded to five Li1+ and one Sb5+ atom to form OLi5Sb octahedra that share corners with four OLi4CuSb octahedra and edges with ten OLi3Cu2Sb octahedra. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O2- site, O2- is bonded to three Li1+, two Cu2+, and one Sb5+ atom to form distorted OLi3Cu2Sb octahedra that share corners with five OLi4CuSb octahedra and edges with nine OLi3Cu2Sb octahedra. The corner-sharing octahedra tilt angles range from 1–11°. In the eighth O2- site, O2- is bonded to four Li1+ and two Sb5+ atoms to form distorted OLi4Sb2 octahedra that share corners with five OLi3Cu2Sb octahedra and edges with ten OLi4Sb2 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. In the ninth O2- site, O2- is bonded to three Li1+, two Cu2+, and one Sb5+ atom to form a mixture of distorted edge and corner-sharing OLi3Cu2Sb octahedra. The corner-sharing octahedra tilt angles range from 3–13°. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two Cu2+, and one Sb5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Sr16V8O31 by Materials Project

Sr16V8O31 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.62–3.01 Å. In the second Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–3.06 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.44–2.71 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.61–2.70 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–2.82 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–3.05 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.46–3.05 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.47–2.85 Å. There are four inequivalent V+3.75+ sites. In the first V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three VO6 octahedra and a cornercorner with one VO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of V–O bond distances ranging from 1.88–2.04 Å. In the second V+3.75+ site, V+3.75+ is bonded to five O2- atoms to form corner-sharing VO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of V–O bond distances ranging from 1.84–1.97 Å. In the third V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three VO6 octahedra and a cornercorner with one VO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of V–O bond distances ranging from 1.97–2.08 Å. In the fourth V+3.75+ site, V+3.75+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three VO6 octahedra and a cornercorner with one VO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of V–O bond distances ranging from 1.85–2.05 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sr2+ and two V+3.75+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the second O2- site, O2- is bonded to four Sr2+ and two equivalent V+3.75+ atoms to form a mixture of distorted edge, face, and corner-sharing OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 1–55°. In the third O2- site, O2- is bonded in a 1-coordinate geometry to five Sr2+ and one V+3.75+ atom. In the fourth O2- site, O2- is bonded to five Sr2+ and one V+3.75+ atom to form distorted OSr5V octahedra that share corners with nine OSr4V2 octahedra, edges with four OSr5V octahedra, and faces with three OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the fifth O2- site, O2- is bonded to five Sr2+ and one V+3.75+ atom to form distorted OSr5V octahedra that share corners with nine OSr4V2 octahedra, edges with six OSr5V octahedra, and faces with three OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 0–58°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two V+3.75+ atoms. In the seventh O2- site, O2- is bonded to five Sr2+ and one V+3.75+ atom to form distorted OSr5V octahedra that share corners with ten OSr4V2 octahedra, edges with four OSr5V octahedra, and faces with three OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 8–57°. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one V+3.75+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to four Sr2+ and two V+3.75+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one V+3.75+ atom. In the eleventh O2- site, O2- is bonded to four Sr2+ and two V+3.75+ atoms to form distorted OSr4V2 octahedra that share corners with seven OSr5V octahedra and faces with seven OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. In the twelfth O2- site, O2- is bonded to four Sr2+ and two equivalent V+3.75+ atoms to form distorted OSr4V2 octahedra that share corners with twelve OSr5V octahedra, edges with two equivalent OSr4V2 octahedra, and faces with six OSr5V octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the thirteenth O2- site, O2- is bonded to five Sr2+ and one V+3.75+ atom to form distorted OSr5V octahedra that share corners with eight OSr4V2 octahedra, edges with six OSr5V octahedra, and faces with two OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two V+3.75+ atoms. In the fifteenth O2- site, O2- is bonded to five Sr2+ and one V+3.75+ atom to form distorted OSr5V octahedra that share corners with ten OSr4V2 octahedra, edges with six OSr5V octahedra, and faces with two OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the sixteenth O2- site, O2- is bonded to four Sr2+ and two V+3.75+ atoms to form distorted OSr4V2 octahedra that share corners with eleven OSr5V octahedra, an edgeedge with one OSr4V2 octahedra, and faces with five OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the seventeenth O2- site, O2- is bonded to four Sr2+ and two equivalent V+3.75+ atoms to form distorted OSr4V2 octahedra that share corners with six OSr5V octahedra and faces with six OSr4V2 octahedra. The corner-sharing octahedra tilt angles range from 42–53°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn15O32 by Materials Project

Li9Mn15O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.11–2.18 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–70°. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. There are fifteen 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 six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.00 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 six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.19 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 six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.00 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 six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.20 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 six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.01 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, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.01 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 six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.97 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 six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.97 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 and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 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 and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.17 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the thirteenth 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 LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.00 Å. In the fourteenth 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 LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.02 Å. In the fifteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the third O2- site, O2- is bonded to two Li1+ and two Mn+3.67+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Mn+3.67+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with three OLiMn3 tetrahedra, corners with five OLiMn3 trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the sixth O2- site, O2- is bonded to two Li1+ and two Mn+3.67+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn3 tetrahedra, corners with five OLi2Mn2 trigonal pyramids, an edgeedge with one OLiMn3 tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with five OLi2Mn2 trigonal pyramids, an edgeedge with one OLiMn3 tetrahedra, and an edgeedge with one OLiMn3 trigonal pyramid. In the eleventh O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 tetrahedra that share corners with two OLiMn3 tetrahedra, corners with four OLi2Mn2 trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and edges with two OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. 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+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the twenty-fourth 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-fifth 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-sixth 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, corners with two OLiMn3 trigonal pyramids, and edges with three OLi2Mn2 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to two Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.67+ atoms. In the twenty-ninth O2- site, O2- is bonded to two Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded to two Li1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to one Li1+ and three Mn+3.67+ atoms to form distorted OLiMn3 tetrahedra that share corners with two OLiMn3 tetrahedra and corners with five OLi2Mn2 trigonal pyramids. In

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti3(CoO3)6 by Materials Project

Li4Ti3(CoO3)6 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.33 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.80 Å. In the third Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.12–2.58 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.14–2.31 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are two shorter (2.12 Å) and three longer (2.30 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.13–2.68 Å. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.11–2.47 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 2.10–2.33 Å. There are six 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 CoO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.91–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.89–2.07 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four CoO5 square pyramids and edges with four TiO6 octahedra. There is five shorter (1.95 Å) and one longer (2.01 Å) Ti–O bond length. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four CoO5 square pyramids and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.02 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CoO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. There are twelve inequivalent Co+3.33+ sites. In the first Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form edge-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.93 Å. In the second Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Co–O bond distances ranging from 1.90–2.06 Å. In the third Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the fourth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the fifth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CoO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the sixth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Co–O bond distances ranging from 1.85–1.91 Å. In the seventh Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Co–O bond distances ranging from 1.91–2.04 Å. In the eighth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form edge-sharing CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.94 Å. In the ninth Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Co–O bond distances ranging from 1.91–1.99 Å. In the tenth Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Co–O bond distances ranging from 1.85–1.91 Å. In the eleventh Co+3.33+ site, Co+3.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent CoO5 square pyramids, and edges with four CoO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.87–1.95 Å. In the twelfth Co+3.33+ site, Co+3.33+ is bonded to five O2- atoms to form CoO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with four CoO6 octahedra, and edges with two equivalent CoO5 square pyramids. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co+3.33+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form OLi2Ti3 trigonal bipyramids that share corners with four OLiTiCo2 trigonal pyramids, edges with two equivalent OLi2Ti3 trigonal bipyramids, and edges with two equivalent OLi2Ti2Co trigonal pyramids. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with four OLi2Ti3 trigonal bipyramids and corners with two equivalent OLiCo3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.33+ atoms to form OLi2Co3 square pyramids that share corners with two equivalent OLi2Co3 square pyramids, edges with three OLi2Co3 square pyramids, and edges with two equivalent OLiTiCo2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two equivalent Co+3.33+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiCo2 trigonal pyramids, and edges with two equivalent OLi2Co3 square pyramids. In the eleventh O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+3.33+ atoms to form distorted OLiTiCo2 trigonal pyramids that share corners with two equivalent OLi2Ti3 trigonal bipyramids, corners with two equivalent OLiTiCo2 trigonal pyramids, and edges with two equivalent OLi2Co3 square pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two equivalent Co+3.33+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the fourteenth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.33+ atoms to form OLi2Co3 square pyramids that share corners with two equivalent OLi2Co3 square pyramids, edges with three OLi2Co3 square pyramids, and edges with two equivalent OLiTiCo2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Co+3.33+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with four OLi2Ti2Co trigonal bipyramids and corners with three OLiCo3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Co+3.33+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Li1+ and three Ti4+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with six OLiTiCo2 trigonal pyramids and edges with two equivalent OLi2Ti3 trigonal bipyramids. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.33+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Co+3.33+ atom to form distorted OLi2Ti2Co trigonal bipyramids that share corners with six OLiCo3 trigonal pyramids and edges with two equivalent OLi2Ti2Co trigonal bipyramids. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Co+3.33+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two equivalent Ti4+, and one Co+3.33+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with four OLi2Ti3 trigonal bipyramids and corners with two equivalent OLiTi2Co trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to two equivalent Li1+ and three Co+3.33+ atoms to form OLi2Co3 square pyramids that share corners with two equivalent OLi2Co3 square pyramids, edges with three OLi2Co3 square pyramids, and edges with two equivalent OLiTiCo2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+, one Ti4+, and two equivalent Co+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Co+3.33+ a

36 MATERIALS SCIENCE↗

Materials Data on Li5MnO5 by Materials Project

Li5MnO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with two LiO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with three equivalent MnO6 octahedra, edges with three LiO5 square pyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the second Li site, Li is bonded to five O atoms to form distorted LiO5 square pyramids that share corners with two equivalent MnO6 octahedra, corners with three LiO5 square pyramids, corners with two LiO5 trigonal bipyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent LiO5 square pyramids, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 1.99–2.23 Å. In the third Li site, Li is bonded to five O atoms to form distorted LiO5 square pyramids that share corners with two equivalent MnO6 octahedra, corners with three LiO5 square pyramids, corners with two LiO5 trigonal bipyramids, edges with two equivalent MnO6 octahedra, edges with two equivalent LiO5 square pyramids, and edges with three LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 1.99–2.23 Å. In the fourth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share corners with two LiO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with three equivalent MnO6 octahedra, edges with three LiO5 square pyramids, and edges with two equivalent LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the fifth Li site, Li is bonded in a square co-planar geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.09 Å. Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO5 square pyramids, edges with four LiO5 square pyramids, and edges with six LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. There are five inequivalent O sites. In the first O site, O is bonded to five Li and one Mn atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–22°. In the second O site, O is bonded to four Li and two equivalent Mn atoms to form a mixture of edge and corner-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the third O site, O is bonded to five Li and one Mn atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–24°. In the fourth O site, O is bonded to five Li and one Mn atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–25°. In the fifth O site, O is bonded to five Li and one Mn atom to form a mixture of edge and corner-sharing OLi5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–22°.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn2O7 by Materials Project

Li8Mn2O7 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.61 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO4 tetrahedra, a cornercorner with one MnO4 tetrahedra, corners with three LiO4 trigonal pyramids, corners with three equivalent MnO4 trigonal pyramids, an edgeedge with one LiO5 square pyramid, edges with three LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one MnO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO4 tetrahedra, an edgeedge with one MnO4 trigonal pyramid, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.93–2.67 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.47 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 square pyramid, edges with two LiO4 tetrahedra, and an edgeedge with one MnO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.15 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three equivalent LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, a cornercorner with one MnO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, corners with three LiO4 trigonal pyramids, an edgeedge with one MnO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.85–2.06 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent LiO5 square pyramids, corners with two LiO4 tetrahedra, corners with three equivalent MnO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, corners with two LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one MnO4 tetrahedra, corners with five LiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 square pyramid, an edgeedge with one MnO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.01–2.08 Å. There are two inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to four O2- atoms to form distorted MnO4 trigonal pyramids that share a cornercorner with one LiO5 square pyramid, a cornercorner with one MnO4 tetrahedra, corners with five LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO5 square pyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.84–1.99 Å. In the second Mn3+ site, Mn3+ is bonded to four O2- atoms to form distorted MnO4 tetrahedra that share a cornercorner with one LiO5 square pyramid, corners with five LiO4 tetrahedra, a cornercorner with one MnO4 trigonal pyramid, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO5 square pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.88–1.94 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form distorted OLi5Mn octahedra that share a cornercorner with one OLi5Mn octahedra, edges with four OLi5Mn octahedra, and an edgeedge with one OLi3Mn2 square pyramid. The corner-sharing octahedral tilt angles are 66°. In the second O2- site, O2- is bonded to three Li1+ and two Mn3+ atoms to form a mixture of corner and edge-sharing OLi3Mn2 square pyramids. The corner-sharing octahedral tilt angles are 51°. In the third O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form distorted OLi5Mn octahedra that share corners with two OLi5Mn octahedra, a cornercorner with one OLi3Mn2 square pyramid, edges with two OLi5Mn octahedra, and edges with two equivalent OLi3Mn2 square pyramids. The corner-sharing octahedra tilt angles range from 10–66°. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to five Li1+ and one Mn3+ atom. In the fifth O2- site, O2- is bonded to five Li1+ and one Mn3+ atom to form distorted OLi5Mn octahedra that share a cornercorner with one OLi5Mn octahedra, edges with two equivalent OLi5Mn octahedra, and an edgeedge with one OLi3Mn2 square pyramid. The corner-sharing octahedral tilt angles are 10°. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Mn3+ atom. In the seventh O2- site, O2- is bonded in a 7-coordinate geometry to six Li1+ and one Mn3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3CrO4 by Materials Project

Li3CrO4 is Caswellsilverite-like structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are four shorter (2.08 Å) and two longer (2.11 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–10°. There are a spread of Li–O bond distances ranging from 2.01–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–12°. There are a spread of Li–O bond distances ranging from 2.06–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Li–O bond distances ranging from 2.00–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.00–2.21 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four equivalent CrO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.01–2.26 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–13°. There are a spread of Li–O bond distances ranging from 1.98–2.18 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with five LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–14°. There are a spread of Li–O bond distances ranging from 2.04–2.19 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent CrO6 octahedra, corners with four equivalent LiO6 octahedra, edges with four CrO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedral tilt angles are 11°. There are a spread of Li–O bond distances ranging from 2.01–2.23 Å. There are four inequivalent Cr5+ sites. In the first Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Cr–O bond distances ranging from 1.74–2.06 Å. In the second Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–13°. There are a spread of Cr–O bond distances ranging from 1.78–2.04 Å. In the third Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Cr–O bond distances ranging from 1.75–2.06 Å. In the fourth Cr5+ site, Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Cr–O bond distances ranging from 1.78–2.04 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form OLi5Cr octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. In the second O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form OLi5Cr octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 6–10°. In the third O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 3–11°. In the fourth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the fifth O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 4–12°. In the sixth O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 4–11°. In the seventh O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the eighth O2- site, O2- is bonded to five Li1+ and one Cr5+ atom to form a mixture of edge and corner-sharing OLi5Cr octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the ninth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form a mixture of edge and corner-sharing OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 5–17°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–16°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Cr5+ atoms to form OLi4Cr2 octahedra that share corners with six OLi5Cr octahedra and edges with twelve OLi4Cr2 octahedra. The corner-sharing octahedra tilt angles range from 3–17°.

36 MATERIALS SCIENCE↗