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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 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.59 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 2.03–2.12 Å. In the third 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 1.95–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, 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 1.92–2.07 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 a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.15 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 LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.04 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 LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.06 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 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 1.92–2.09 Å. In the fifth 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, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.24 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.13 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent 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 1.99–2.27 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.09 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 1.35–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 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 1.38–1.41 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 (1.39 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 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 rectangular see-saw-like 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 to one Li1+, two Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. 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 trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.50+, 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+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one 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 to two Li1+, one Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, 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 trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to 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 2-coordinate geometry to one Li1+, one Fe+2.50+, 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 in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.70 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are three shorter (1.97 Å) and one longer (2.07 Å) Li–O bond lengths. 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 1.95–2.16 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 1.96–2.19 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 edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.08 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted 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 1.91–2.25 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.18 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, 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 1.96–2.26 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.09 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 equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.03 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 2.01–2.26 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 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 1.98–2.24 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 1.37–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.42 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.42 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 1.37–1.41 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 1.38–1.40 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+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one 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 3-coordinate geometry to 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 2-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two 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 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 distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.50+, 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+2.50+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, 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 in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.17 Å. In the fourth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.60 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 edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.11 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 LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.05–2.28 Å. In the third 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.26 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.10 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 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 1.91–2.13 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.15 Å. In the seventh 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 1.99–2.26 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted 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 1.97–2.22 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 1.37–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 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 1.36–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.39 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 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one 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 distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.50+, 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+2.50+ 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 planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, 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 bent 150 degrees geometry to 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 2-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two 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 distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4CoO4 by Materials Project

Li4CoO4 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are sixteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with five LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one CoO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.51 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one CoO4 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 1.91–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CoO4 tetrahedra, corners with three LiO4 trigonal pyramids, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one CoO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.91–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent CoO4 tetrahedra, corners with four LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one CoO4 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 1.93–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent CoO4 tetrahedra, corners with four LiO4 tetrahedra, corners with six LiO4 trigonal pyramids, an edgeedge with one CoO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with eight LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four LiO4 tetrahedra, corners with four CoO4 tetrahedra, corners with three 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 1.99–2.05 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with three LiO4 tetrahedra, corners with six LiO4 trigonal pyramids, an edgeedge with one CoO4 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 1.96–2.04 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with seven LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, an edgeedge with one CoO4 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 1.97–2.07 Å. In the twelfth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one CoO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.92–2.28 Å. In the thirteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO4 tetrahedra, corners with three LiO4 tetrahedra, corners with six LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the fourteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four LiO4 tetrahedra, corners with four CoO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two CoO4 tetrahedra, corners with six LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one CoO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.89–2.31 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent CoO4 tetrahedra, corners with six LiO4 trigonal pyramids, an edgeedge with one CoO4 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 1.88–2.04 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with seven LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 1.79–1.84 Å. In the second Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 1.72–1.86 Å. In the third Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six LiO4 tetrahedra, corners with six LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.82–1.93 Å. In the fourth Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and edges with two LiO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.71–1.85 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and one Co4+ atom to form distorted OLi4Co trigonal bipyramids that share a cornercorner with one OLi5Co octahedra, corners with two equivalent OLi4Co trigonal bipyramids, a cornercorner with one OLi3Co trigonal pyramid, and edges with two OLi5Co octahedra. The corner-sharing octahedral tilt angles are 55°. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Co4+ atom. In the third O2- site, O2- is bonded to three Li1+ and one Co4+ atom to form OLi3Co trigonal pyramids that share a cornercorner with one OLi5Co octahedra, corners with two OLi4Co trigonal bipyramids, and an edgeedge with one OLi4Co trigonal bipyramid. The corner-sharing octahedral tilt angles are 49°. In the fourth O2- site, O2- is bonded to four Li1+ and one Co4+ atom to form distorted OLi4Co trigonal bipyramids that share a cornercorner with one OLi5Co octahedra, corners with two equivalent OLi4Co trigonal bipyramids, a cornercorner with one OLi3Co trigonal pyramid, and an edgeedge with one OLi3Co trigonal pyramid. The corner-sharing octahedral tilt angles are 61°. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one Co4+ atom. In the sixth O2- site, O2- is bonded in a see-saw-like geometry to three Li1+ and one Co4+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to five Li1+ and one Co4+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co4+ atom. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co4+ atom. In the tenth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form distorted OLi5Co octahedra that share a cornercorner with one OLi4Co trigonal bipyramid, a cornercorner with one OLi3Co trigonal pyramid, and edges with three OLi5Co octahedra. In the eleventh O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form distorted OLi5Co octahedra that share corners with two equivalent OLi5Co octahedra, edges with three OLi5Co octahedra, and an edgeedge with one OLi4Co trigonal bipyramid. The corner-sharing octahedra tilt angles range from 55–61°. In the twelfth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form OLi5Co octahedra that share a cornercorner with one OLi4Co trigonal bipyramid, edges with three OLi5Co octahedra, and an edgeedge with one OLi4Co trigonal bipyramid. In the thirteenth O2- site, O2- is bonded to five Li1+ and one Co4+ atom to form a mixture of distorted edge and corner-sharing OLi5Co octahedra. The corner-sharing octahedra tilt angles range from 55–61°. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to five Li1+ and one Co4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to three Li1+ and one Co4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one Co4+ 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.03–2.56 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.15 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 2.00–2.06 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 corners with two equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.25 Å. In the second 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 1.98–2.24 Å. In the third 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 1.94–2.06 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, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.12 Å. In the fifth 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 1.89–2.07 Å. In the sixth 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 1.95–2.04 Å. In the seventh 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 1.86–2.10 Å. In the eighth 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 LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.39 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 (1.41 Å) B–O bond length. In the second 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 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 1.35–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 1.35–1.41 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 one Li1+, one Fe+2.62+, and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one 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 3-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar 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 rectangular see-saw-like 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 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, 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 distorted trigonal planar 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 distorted trigonal planar 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 distorted trigonal planar 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 two 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 distorted trigonal planar geometry to one Li1+, one 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 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 distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.49 Å. In the second 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 1.95–2.17 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 FeO5 trigonal bipyramids that share 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 1.90–2.10 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 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 1.94–2.27 Å. In the third Fe+2.75+ site, Fe+2.75+ 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 1.86–2.07 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.09 Å. In the fifth Fe+2.75+ site, Fe+2.75+ 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 1.91–2.08 Å. In the sixth Fe+2.75+ site, Fe+2.75+ 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 1.86–2.08 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, 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 1.97–2.25 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 1.90–2.08 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 1.35–1.41 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 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.34 Å) and two longer (1.41 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.33 Å) and two longer (1.41 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate 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 trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one 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 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.75+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.75+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.75+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.75+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.75+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.75+, 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+2.75+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Fe+2.75+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn5O12 by Materials Project

Li6Mn5O12 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. 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 distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with five LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Li–O bond distances ranging from 2.02–2.47 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with five LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 1.98–2.53 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO6 octahedra, edges with five MnO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–14°. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. There are four inequivalent Mn+3.60+ sites. In the first Mn+3.60+ site, Mn+3.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There is two shorter (1.93 Å) and four longer (1.97 Å) Mn–O bond length. In the second Mn+3.60+ site, Mn+3.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO6 octahedra, edges with four LiO6 octahedra, and edges with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Mn–O bond distances ranging from 1.92–2.02 Å. In the third Mn+3.60+ site, Mn+3.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–16°. There are a spread of Mn–O bond distances ranging from 1.90–2.17 Å. In the fourth Mn+3.60+ site, Mn+3.60+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four LiO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–13°. There are a spread of Mn–O bond distances ranging from 1.93–2.03 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and three Mn+3.60+ atoms to form OLi2Mn3 square pyramids that share corners with three OLi4Mn2 octahedra, corners with six OLi2Mn3 square pyramids, edges with three OLi4Mn2 octahedra, and edges with five OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the second O2- site, O2- is bonded to two Li1+ and three Mn+3.60+ atoms to form distorted OLi2Mn3 square pyramids that share corners with three OLi4Mn2 octahedra, corners with six OLi2Mn3 square pyramids, edges with three OLi4Mn2 octahedra, and edges with five OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 6–19°. In the third O2- site, O2- is bonded to four Li1+ and two Mn+3.60+ atoms to form OLi4Mn2 octahedra that share corners with three OLi4Mn2 octahedra, corners with three OLi2Mn3 square pyramids, edges with nine OLi4Mn2 octahedra, and edges with three OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 3–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Mn+3.60+ atoms to form OLi4Mn2 octahedra that share corners with three OLi4Mn2 octahedra, corners with three OLi2Mn3 square pyramids, edges with nine OLi4Mn2 octahedra, and edges with three OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 6–9°. In the fifth O2- site, O2- is bonded to two Li1+ and three Mn+3.60+ atoms to form distorted OLi2Mn3 square pyramids that share corners with three OLi4Mn2 octahedra, corners with six OLi2Mn3 square pyramids, edges with three OLi4Mn2 octahedra, and edges with five OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 6–19°. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn+3.60+ atoms to form OLi4Mn2 octahedra that share corners with three OLi4Mn2 octahedra, corners with three OLi2Mn3 square pyramids, edges with nine OLi4Mn2 octahedra, and edges with three OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 4–9°.

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 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.69 Å. In the second 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 1.94–2.18 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 1.92–2.16 Å. In the fourth 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 1.98–2.16 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 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 1.97–2.20 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.23 Å. In the third 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, 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 1.93–2.06 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, 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 1.95–2.10 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 corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.36 Å. In the sixth Fe+2.50+ site, Fe+2.50+ 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 1.96–2.27 Å. In the seventh 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 1.91–2.11 Å. In the eighth 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 1.85–2.19 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 1.36–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 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 1.36–1.41 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 (1.41 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 1.37–1.43 Å. In the seventh 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 eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 1-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 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the ninth 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 tenth 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 eleventh 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 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 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, 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 distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.50+, 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 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 1.90–2.14 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 1.91–2.14 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.63 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 an edgeedge with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.11 Å. In the 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 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 third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.18 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 1.90–2.09 Å. In the fifth 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 1.97–2.17 Å. In the sixth 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 LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.11 Å. In the seventh 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 1.87–2.09 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with three equivalent LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.20 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 (1.41 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 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 1.36–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 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 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the fourth 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 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 3-coordinate geometry to 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 distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one 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 bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one 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 T-shaped geometry to one Li1+, one Fe+2.62+, 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+2.62+, 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 distorted rectangular see-saw-like geometry to one Li1+, two 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 distorted trigonal planar geometry to 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 LiFe8(BO3)8 by Materials Project

LiFe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.75 Å. There are eight inequivalent Fe+2.88+ sites. In the first Fe+2.88+ site, Fe+2.88+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.85–2.08 Å. In the second Fe+2.88+ site, Fe+2.88+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.07 Å. In the third Fe+2.88+ site, Fe+2.88+ 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 1.86–2.08 Å. In the fourth Fe+2.88+ site, Fe+2.88+ 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 1.90–2.20 Å. In the fifth Fe+2.88+ site, Fe+2.88+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.11 Å. In the sixth Fe+2.88+ site, Fe+2.88+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.07 Å. In the seventh Fe+2.88+ site, Fe+2.88+ 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 1.86–2.06 Å. In the eighth Fe+2.88+ site, Fe+2.88+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.04 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 1.36–1.39 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 is one shorter (1.34 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is 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 1.34–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.34 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 is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.88+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.88+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.88+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.88+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.88+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Fe+2.88+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.88+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.88+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.88+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe+2.88+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.88+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Fe+2.88+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.88+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.88+ 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+2.88+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.88+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.88+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.88+, 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 distorted 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 1.97–2.12 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 1.93–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.09 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 1.96–2.14 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 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 1.98–2.25 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, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.27 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.35 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, 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 1.94–2.26 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.89–2.14 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one 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 1.92–2.08 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 2.01–2.22 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 and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.02 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.42 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 1.37–1.42 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 1.36–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 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 1.36–1.42 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 1.36–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar 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 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, 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 distorted rectangular see-saw-like 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 in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe4(BO3)4 by Materials Project

Li3Fe4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.66 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.14 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–1.99 Å. There are eight inequivalent Fe+2.25+ sites. In the first Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.26 Å. In the second Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.36 Å. In the third Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.31 Å. In the fourth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.24 Å. In the fifth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.11 Å. In the sixth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.02 Å. In the seventh Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.26 Å. In the eighth Fe+2.25+ site, Fe+2.25+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.37 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.39 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two equivalent OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Fe+2.25+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and corners with four OLi2FeB trigonal pyramids. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Fe+2.25+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Fe+2.25+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share a cornercorner with one OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li6Fe9CoO20 by Materials Project

Li6Fe9CoO20 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–16°. There are a spread of Li–O bond distances ranging from 2.04–2.37 Å. In the second Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share corners with six FeO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.04–2.45 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–13°. There are a spread of Li–O bond distances ranging from 2.13–2.21 Å. In the fourth Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with five FeO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Li–O bond distances ranging from 2.05–2.46 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Li–O bond distances ranging from 2.05–2.36 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Li–O bond distances ranging from 2.10–2.21 Å. There are nine inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Fe–O bond distances ranging from 1.90–1.95 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Fe–O bond distances ranging from 2.02–2.10 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–15°. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Fe–O bond distances ranging from 2.03–2.06 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There is three shorter (1.98 Å) and three longer (1.99 Å) Fe–O bond length. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–14°. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with five LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 8–18°. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent LiO6 octahedra, edges with two equivalent CoO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 11–18°. There are a spread of Fe–O bond distances ranging from 2.04–2.06 Å. Co is bonded to six O atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four LiO6 octahedra, and edges with four FeO6 octahedra. The corner-sharing octahedral tilt angles are 5°. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. There are twenty inequivalent O sites. In the first O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with four equivalent OLi2Fe2Co square pyramids, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the second O site, O is bonded in a see-saw-like geometry to one Li and three Fe atoms. In the third O site, O is bonded in a see-saw-like geometry to one Li and three Fe atoms. In the fourth O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with four equivalent OLi3Fe3 octahedra, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 4–6°. In the fifth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with five OLi2Fe3 square pyramids, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. In the sixth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with five OLi2Fe3 square pyramids, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. In the seventh O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with four equivalent OLi3Fe3 octahedra, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. In the eighth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the ninth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the tenth O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with four equivalent OLi2Fe3 square pyramids, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the eleventh O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share a cornercorner with one OLi3Fe3 octahedra, corners with four equivalent OLi2Fe3 square pyramids, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to one Li and three Fe atoms. In the fourteenth O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with four equivalent OLi3Fe3 octahedra, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 5–9°. In the fifteenth O site, O is bonded to three Li and three Fe atoms to form OLi3Fe3 octahedra that share corners with five OLi2Fe3 square pyramids, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. In the sixteenth O site, O is bonded to three Li, two equivalent Fe, and one Co atom to form OLi3Fe2Co octahedra that share corners with five OLi2Fe3 square pyramids, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. In the seventeenth O site, O is bonded to two equivalent Li and three Fe atoms to form OLi2Fe3 square pyramids that share corners with four equivalent OLi3Fe2Co octahedra, edges with four OLi3Fe3 octahedra, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedra tilt angles range from 2–6°. In the eighteenth O site, O is bonded in a see-saw-like geometry to one Li, one Fe, and two equivalent Co atoms. In the nineteenth O site, O is bonded in a see-saw-like geometry to one Li, one Fe, and two equivalent Co atoms. In the twentieth O site, O is bonded to two equivalent Li, two equivalent Fe, and one Co atom to form OLi2Fe2Co square pyramids that share a cornercorner with one OLi3Fe2Co octahedra, corners with four equivalent OLi2Fe3 square pyramids, and edges with four OLi2Fe3 square pyramids. The corner-sharing octahedral tilt angles are 1°.

36 MATERIALS SCIENCE↗

Materials Data on Li(CuO)3 by Materials Project

LiCu3O3 crystallizes in the tetragonal I4/mmm 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 distorted corner-sharing LiO5 trigonal bipyramids. There are four shorter (2.04 Å) and one longer (2.11 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five equivalent LiO5 trigonal bipyramids and edges with four equivalent CuO5 square pyramids. There are four shorter (2.05 Å) and one longer (2.23 Å) Li–O bond lengths. There are five inequivalent Cu+1.67+ sites. In the first Cu+1.67+ site, Cu+1.67+ is bonded in a linear geometry to two O2- atoms. Both Cu–O bond lengths are 1.86 Å. In the second Cu+1.67+ site, Cu+1.67+ is bonded in a distorted square co-planar geometry to four O2- atoms. All Cu–O bond lengths are 1.98 Å. In the third Cu+1.67+ site, Cu+1.67+ is bonded in a distorted square co-planar geometry to four equivalent O2- atoms. All Cu–O bond lengths are 1.99 Å. In the fourth Cu+1.67+ site, Cu+1.67+ is bonded to five O2- atoms to form distorted CuO5 square pyramids that share corners with five equivalent CuO5 square pyramids and edges with four equivalent LiO5 trigonal bipyramids. There are four shorter (1.98 Å) and one longer (2.68 Å) Cu–O bond lengths. In the fifth Cu+1.67+ site, Cu+1.67+ is bonded in a rectangular see-saw-like geometry to four equivalent O2- atoms. All Cu–O bond lengths are 1.98 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+ and three Cu+1.67+ atoms to form distorted OLi2Cu3 trigonal bipyramids that share corners with two equivalent OLiCu4 square pyramids, corners with five OLi2Cu3 trigonal bipyramids, and edges with four equivalent OLi2Cu3 trigonal bipyramids. In the second O2- site, O2- is bonded to two equivalent Li1+ and three Cu+1.67+ atoms to form distorted OLi2Cu3 trigonal bipyramids that share corners with four OCu6 octahedra, corners with five OLi2Cu3 trigonal bipyramids, and edges with four equivalent OLi2Cu3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 76–88°. In the third O2- site, O2- is bonded to six Cu+1.67+ atoms to form distorted OCu6 octahedra that share corners with four equivalent OCu6 octahedra, corners with eight equivalent OLi2Cu3 trigonal bipyramids, and edges with four equivalent OLi2Cu4 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O2- site, O2- is bonded to one Li1+ and four equivalent Cu+1.67+ atoms to form OLiCu4 square pyramids that share corners with four equivalent OLiCu4 square pyramids, corners with four equivalent OLi2Cu3 trigonal bipyramids, and edges with four equivalent OLiCu4 square pyramids. In the fifth O2- site, O2- is bonded to two equivalent Li1+ and four equivalent Cu+1.67+ atoms to form OLi2Cu4 octahedra that share corners with four equivalent OLi2Cu4 octahedra, corners with eight equivalent OLi2Cu3 trigonal bipyramids, and edges with four equivalent OCu6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Na5(NiO2)6 by Materials Project

Na5(NiO2)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of Na–O bond distances ranging from 2.33–2.40 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NiO6 octahedra, edges with four NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Na–O bond distances ranging from 2.33–2.44 Å. In the third Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with six NiO6 octahedra, edges with five NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Na–O bond distances ranging from 2.28–2.43 Å. There are three inequivalent Ni+3.17+ sites. In the first Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six NaO6 octahedra, edges with five NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. There are a spread of Ni–O bond distances ranging from 1.91–2.16 Å. In the second Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with five NaO6 octahedra, edges with five NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 11–17°. There are a spread of Ni–O bond distances ranging from 1.90–2.16 Å. In the third Ni+3.17+ site, Ni+3.17+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four NaO6 octahedra, edges with five NaO6 octahedra, and edges with six NiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Ni–O bond distances ranging from 1.91–2.05 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Na1+ and three Ni+3.17+ atoms to form ONa3Ni3 octahedra that share corners with three ONa3Ni3 octahedra, corners with three ONa2Ni3 square pyramids, edges with six ONa3Ni3 octahedra, and edges with six ONa2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the second O2- site, O2- is bonded to two Na1+ and three Ni+3.17+ atoms to form ONa2Ni3 square pyramids that share corners with two ONa3Ni3 octahedra, corners with seven ONa2Ni3 square pyramids, edges with six ONa3Ni3 octahedra, and edges with two ONa2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the third O2- site, O2- is bonded to two Na1+ and three Ni+3.17+ atoms to form distorted ONa2Ni3 square pyramids that share a cornercorner with one ONa3Ni3 octahedra, corners with eight ONa2Ni3 square pyramids, edges with six ONa3Ni3 octahedra, and edges with two ONa2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 7°. In the fourth O2- site, O2- is bonded to three Na1+ and three Ni+3.17+ atoms to form ONa3Ni3 octahedra that share corners with three ONa3Ni3 octahedra, corners with three ONa2Ni3 square pyramids, edges with six ONa3Ni3 octahedra, and edges with six ONa2Ni3 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the fifth O2- site, O2- is bonded to three Na1+ and three Ni+3.17+ atoms to form ONa3Ni3 octahedra that share corners with five ONa3Ni3 octahedra, a cornercorner with one ONa2Ni3 square pyramid, edges with five ONa3Ni3 octahedra, and edges with seven ONa2Ni3 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to two Na1+ and three Ni+3.17+ atoms to form ONa2Ni3 square pyramids that share corners with four ONa3Ni3 octahedra, corners with five ONa2Ni3 square pyramids, edges with seven ONa3Ni3 octahedra, and an edgeedge with one ONa2Ni3 square pyramid. The corner-sharing octahedra tilt angles range from 1–6°.

36 MATERIALS SCIENCE↗

Materials Data on Na3Li6Mn5O9 by Materials Project

Na3Li6Mn5O9 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Na sites. In the first Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with three LiO4 tetrahedra, corners with five MnO4 tetrahedra, edges with six NaO6 octahedra, an edgeedge with one LiO4 tetrahedra, and edges with five MnO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.46–2.74 Å. In the second Na site, Na is bonded to six O atoms to form distorted NaO6 octahedra that share corners with three LiO4 tetrahedra, corners with five MnO4 tetrahedra, edges with six NaO6 octahedra, an edgeedge with one LiO4 tetrahedra, and edges with five MnO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.46–2.74 Å. In the third Na site, Na is bonded to six O atoms to form NaO6 octahedra that share corners with three LiO4 tetrahedra, corners with five MnO4 tetrahedra, edges with six NaO6 octahedra, an edgeedge with one LiO4 tetrahedra, and edges with five MnO4 tetrahedra. There are a spread of Na–O bond distances ranging from 2.54–2.67 Å. There are six inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NaO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three MnO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Li–O bond distances ranging from 1.90–2.09 Å. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NaO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with three MnO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Li–O bond distances ranging from 1.90–2.09 Å. In the third Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with three NaO6 octahedra, corners with seven MnO4 tetrahedra, edges with three NaO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 15–29°. There are a spread of Li–O bond distances ranging from 2.00–2.29 Å. In the fourth Li site, Li is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.97–2.09 Å. In the fifth Li site, Li is bonded in a distorted trigonal non-coplanar geometry to three O atoms. There are two shorter (2.01 Å) and one longer (2.06 Å) Li–O bond lengths. In the sixth Li site, Li is bonded in a 3-coordinate geometry to three O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. There are five inequivalent Mn sites. In the first Mn site, Mn is bonded to four O atoms to form distorted MnO4 tetrahedra that share corners with three NaO6 octahedra, corners with two LiO4 tetrahedra, corners with seven MnO4 tetrahedra, and edges with three NaO6 octahedra. The corner-sharing octahedra tilt angles range from 15–22°. There are a spread of Mn–O bond distances ranging from 2.10–2.27 Å. In the second Mn site, Mn is bonded to four O atoms to form distorted MnO4 tetrahedra that share corners with three NaO6 octahedra, corners with two LiO4 tetrahedra, corners with seven MnO4 tetrahedra, and edges with three NaO6 octahedra. The corner-sharing octahedra tilt angles range from 16–22°. There are a spread of Mn–O bond distances ranging from 2.10–2.28 Å. In the third Mn site, Mn is bonded to four O atoms to form distorted MnO4 tetrahedra that share corners with three NaO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with four MnO4 tetrahedra, edges with three NaO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 17–30°. There are a spread of Mn–O bond distances ranging from 2.04–2.19 Å. In the fourth Mn site, Mn is bonded to four O atoms to form distorted MnO4 tetrahedra that share corners with three NaO6 octahedra, corners with three equivalent LiO4 tetrahedra, corners with four MnO4 tetrahedra, edges with three NaO6 octahedra, and edges with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 18–30°. There are a spread of Mn–O bond distances ranging from 2.05–2.19 Å. In the fifth Mn site, Mn is bonded to four O atoms to form distorted MnO4 tetrahedra that share corners with three NaO6 octahedra, corners with three LiO4 tetrahedra, corners with six MnO4 tetrahedra, and edges with three NaO6 octahedra. The corner-sharing octahedra tilt angles range from 15–20°. There are a spread of Mn–O bond distances ranging from 2.12–2.19 Å. There are nine inequivalent O sites. In the first O site, O is bonded to five Li and two Mn atoms to form distorted OLi5Mn2 pentagonal bipyramids that share corners with two ONa3LiMn2 octahedra, corners with two OLi5Mn2 pentagonal bipyramids, and edges with four OLi6Mn pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 60–76°. In the second O site, O is bonded to five Li and two Mn atoms to form distorted OLi5Mn2 pentagonal bipyramids that share corners with two ONa3LiMn2 octahedra, corners with two OLi5Mn2 pentagonal bipyramids, and edges with four OLi6Mn pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 61–62°. In the third O site, O is bonded in a 7-coordinate geometry to three Na, two Li, and two Mn atoms. In the fourth O site, O is bonded to three Na, one Li, and two Mn atoms to form distorted ONa3LiMn2 octahedra that share a cornercorner with one ONa3Mn3 octahedra, corners with three OLi5Mn2 pentagonal bipyramids, and an edgeedge with one ONa3Mn3 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fifth O site, O is bonded in a 7-coordinate geometry to three Na, two Li, and two Mn atoms. In the sixth O site, O is bonded in a 6-coordinate geometry to three Na and three Mn atoms. In the seventh O site, O is bonded to three Na and three Mn atoms to form distorted ONa3Mn3 octahedra that share a cornercorner with one ONa3LiMn2 octahedra, corners with three OLi5Mn2 pentagonal bipyramids, and an edgeedge with one ONa3LiMn2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the eighth O site, O is bonded in a 6-coordinate geometry to three Na and three Mn atoms. In the ninth O site, O is bonded to six Li and one Mn atom to form distorted OLi6Mn pentagonal bipyramids that share corners with two ONa3LiMn2 octahedra, corners with two OLi5Mn2 pentagonal bipyramids, and edges with four OLi5Mn2 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 62–63°.

36 MATERIALS SCIENCE↗

Materials Data on Ba10Cu5O17 by Materials Project

Ba10Cu5O17 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to seven O2- atoms to form distorted BaO7 pentagonal bipyramids that share corners with two equivalent BaO7 pentagonal bipyramids, a cornercorner with one CuO5 square pyramid, an edgeedge with one BaO7 pentagonal bipyramid, and edges with two equivalent CuO5 square pyramids. There are a spread of Ba–O bond distances ranging from 2.67–2.90 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.70–2.98 Å. In the third Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–2.98 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.71–2.96 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.72–2.99 Å. There are three inequivalent Cu+2.80+ sites. In the first Cu+2.80+ site, Cu+2.80+ is bonded to five O2- atoms to form CuO5 square pyramids that share corners with two equivalent CuO5 square pyramids and edges with two equivalent BaO7 pentagonal bipyramids. There are a spread of Cu–O bond distances ranging from 1.91–2.39 Å. In the second Cu+2.80+ site, Cu+2.80+ is bonded to five O2- atoms to form CuO5 square pyramids that share a cornercorner with one BaO7 pentagonal bipyramid and corners with three CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.94–2.08 Å. In the third Cu+2.80+ site, Cu+2.80+ is bonded in a square co-planar geometry to four O2- atoms. There is two shorter (1.88 Å) and two longer (1.92 Å) Cu–O bond length. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to five Ba2+ and one Cu+2.80+ atom to form distorted OBa5Cu octahedra that share corners with twelve OBa5Cu octahedra and faces with two equivalent OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the second O2- site, O2- is bonded in a 6-coordinate geometry to five Ba2+ and one Cu+2.80+ atom. In the third O2- site, O2- is bonded in a 6-coordinate geometry to five Ba2+ and one Cu+2.80+ atom. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to five Ba2+ and one Cu+2.80+ atom. In the fifth O2- site, O2- is bonded to four Ba2+ and two Cu+2.80+ atoms to form distorted OBa4Cu2 octahedra that share corners with three equivalent OBa5Cu octahedra and faces with four OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. In the sixth O2- site, O2- is bonded to four Ba2+ and two Cu+2.80+ atoms to form distorted OBa4Cu2 octahedra that share corners with five OBa5Cu octahedra, edges with two OBa4Cu2 octahedra, and faces with two equivalent OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–59°. In the seventh O2- site, O2- is bonded to four Ba2+ and two equivalent Cu+2.80+ atoms to form OBa4Cu2 octahedra that share corners with four OBa5Cu octahedra, edges with two equivalent OBa4Cu2 octahedra, and faces with two equivalent OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 2–47°. In the eighth O2- site, O2- is bonded to four Ba2+ and two Cu+2.80+ atoms to form distorted OBa4Cu2 octahedra that share corners with four OBa5Cu octahedra, edges with two OBa4Cu2 octahedra, and faces with three OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–57°. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to five Ba2+ and one Cu+2.80+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Sb11S18 by Materials Project

Li3Sb11S18 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 six S2- atoms to form LiS6 octahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one SbS6 octahedra, corners with four SbS5 square pyramids, edges with two equivalent LiS6 octahedra, and edges with six SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of Li–S bond distances ranging from 2.50–2.89 Å. In the second Li1+ site, Li1+ is bonded to six S2- atoms to form distorted LiS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with three SbS6 octahedra, corners with two SbS5 square pyramids, and edges with five SbS6 octahedra. The corner-sharing octahedra tilt angles range from 11–53°. There are a spread of Li–S bond distances ranging from 2.49–3.11 Å. In the third Li1+ site, Li1+ is bonded to six S2- atoms to form LiS6 octahedra that share corners with two SbS6 octahedra, corners with four SbS5 square pyramids, edges with two equivalent LiS6 octahedra, and edges with six SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 42–48°. There are a spread of Li–S bond distances ranging from 2.48–2.90 Å. There are eleven inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to six S2- atoms to form distorted SbS6 octahedra that share corners with two equivalent LiS6 octahedra, corners with two equivalent SbS6 octahedra, an edgeedge with one LiS6 octahedra, and edges with seven SbS6 octahedra. The corner-sharing octahedra tilt angles range from 5–11°. There are a spread of Sb–S bond distances ranging from 2.54–3.29 Å. In the second Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, corners with three SbS6 octahedra, corners with two SbS5 square pyramids, and edges with six SbS6 octahedra. The corner-sharing octahedra tilt angles range from 3–42°. There are a spread of Sb–S bond distances ranging from 2.57–3.01 Å. In the third Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share a cornercorner with one SbS6 octahedra, corners with three LiS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 13–68°. There are a spread of Sb–S bond distances ranging from 2.50–2.99 Å. In the fourth Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with two SbS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 14–70°. There are a spread of Sb–S bond distances ranging from 2.50–2.88 Å. In the fifth Sb3+ site, Sb3+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Sb–S bond distances ranging from 2.53–3.00 Å. In the sixth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one LiS6 octahedra, and edges with eight SbS6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Sb–S bond distances ranging from 2.61–3.21 Å. In the seventh Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with two LiS6 octahedra, corners with two equivalent SbS6 octahedra, corners with two SbS5 square pyramids, and edges with six SbS6 octahedra. The corner-sharing octahedra tilt angles range from 3–42°. There are a spread of Sb–S bond distances ranging from 2.56–3.11 Å. In the eighth Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share a cornercorner with one SbS6 octahedra, corners with three LiS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 16–69°. There are a spread of Sb–S bond distances ranging from 2.50–2.94 Å. In the ninth Sb3+ site, Sb3+ is bonded to five S2- atoms to form SbS5 square pyramids that share corners with two equivalent LiS6 octahedra, corners with two SbS6 octahedra, edges with three LiS6 octahedra, and edges with four SbS5 square pyramids. The corner-sharing octahedra tilt angles range from 11–69°. There are a spread of Sb–S bond distances ranging from 2.46–2.81 Å. In the tenth Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share a cornercorner with one LiS6 octahedra, a cornercorner with one SbS6 octahedra, corners with two SbS5 square pyramids, edges with two equivalent LiS6 octahedra, and edges with four SbS6 octahedra. The corner-sharing octahedra tilt angles range from 6–48°. There are a spread of Sb–S bond distances ranging from 2.54–3.13 Å. In the eleventh Sb3+ site, Sb3+ is bonded to six S2- atoms to form SbS6 octahedra that share corners with four SbS6 octahedra, an edgeedge with one LiS6 octahedra, and edges with seven SbS6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Sb–S bond distances ranging from 2.61–3.12 Å. There are eighteen inequivalent S2- sites. In the first S2- site, S2- is bonded to six Sb3+ atoms to form SSb6 octahedra that share corners with two equivalent SLiSb4 square pyramids, edges with two equivalent SLiSb5 octahedra, and edges with five SLiSb4 square pyramids. In the second S2- site, S2- is bonded in a 3-coordinate geometry to one Li1+ and two Sb3+ atoms. In the third S2- site, S2- is bonded to one Li1+ and four Sb3+ atoms to form distorted SLiSb4 square pyramids that share corners with two equivalent SSb6 octahedra, edges with three SSb6 octahedra, and edges with three SSb5 square pyramids. The corner-sharing octahedra tilt angles range from 7–9°. In the fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Sb3+ atoms. In the fifth S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form a mixture of distorted edge and corner-sharing SLi2Sb3 square pyramids. In the sixth S2- site, S2- is bonded to one Li1+ and five Sb3+ atoms to form SLiSb5 octahedra that share corners with four SSb5 square pyramids, edges with two equivalent SSb6 octahedra, and edges with four SLiSb4 square pyramids. In the seventh S2- site, S2- is bonded in a 3-coordinate geometry to one Li1+ and two Sb3+ atoms. In the eighth S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form a mixture of distorted edge and corner-sharing SLi2Sb3 square pyramids. In the ninth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Sb3+ atoms. In the tenth S2- site, S2- is bonded to five Sb3+ atoms to form distorted SSb5 square pyramids that share corners with two equivalent SLiSb5 octahedra, edges with three SSb6 octahedra, and edges with two SLiSb4 square pyramids. The corner-sharing octahedra tilt angles range from 3–4°. In the eleventh S2- site, S2- is bonded to one Li1+ and four Sb3+ atoms to form SLiSb4 square pyramids that share corners with two equivalent SLiSb5 octahedra, edges with three SSb6 octahedra, and edges with three SLiSb4 square pyramids. The corner-sharing octahedra tilt angles range from 8–9°. In the twelfth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Sb3+ atoms. In the thirteenth S2- site, S2- is bonded to two Li1+ and three Sb3+ atoms to form distorted edge-sharing SLi2Sb3 square pyramids. In the fourteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Sb3+ atoms. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to two Li1+ and three Sb3+ atoms. In the sixteenth S2- site, S2- is bonded in a 4-coordinate geometry to one Li1+ and three Sb3+ atoms. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Sb3+ atoms. In the eighteenth S2- site, S2- is bonded in a 3-coordinate geometry to three Sb3+ atoms.

36 MATERIALS SCIENCE↗