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Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.07 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.26 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.22 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.29 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.31 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.32 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.14 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8MnFe7(BO3)8 by Materials Project

Li8MnFe7(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are three shorter (1.95 Å) and one longer (2.06 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.42 Å. There are seven inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.36 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.43 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.37 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.40 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, 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 2.04–2.40 Å. In the sixth Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.42 Å. In the seventh Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.40 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 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 is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 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 is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 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 (1.38 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 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted edge-sharing OLiFe2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.09 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.88–2.15 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.07–2.34 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.26 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.67 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.23 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.16 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.36 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.08 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.31 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. There are twelve 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 1.37–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 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 1.37–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one 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 1.36–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 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 1.37–1.42 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.44 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the eleventh 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 twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on SrCa2Lu10O18 by Materials Project

SrCa2Lu10O18 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.54–2.91 Å. In the second Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–2.80 Å. There are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.90 Å. In the second Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.80 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.85 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.79 Å. There are twenty inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–61°. There are a spread of Lu–O bond distances ranging from 2.16–2.44 Å. In the second Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Lu–O bond distances ranging from 2.15–2.43 Å. In the third Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Lu–O bond distances ranging from 2.20–2.28 Å. In the fourth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Lu–O bond distances ranging from 2.19–2.30 Å. In the fifth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Lu–O bond distances ranging from 2.17–2.30 Å. In the sixth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Lu–O bond distances ranging from 2.20–2.31 Å. In the seventh Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Lu–O bond distances ranging from 2.11–2.45 Å. In the eighth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Lu–O bond distances ranging from 2.15–2.35 Å. In the ninth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Lu–O bond distances ranging from 2.10–2.46 Å. In the tenth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Lu–O bond distances ranging from 2.13–2.36 Å. In the eleventh Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Lu–O bond distances ranging from 2.15–2.34 Å. In the twelfth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing LuO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Lu–O bond distances ranging from 2.13–2.36 Å. In the thirteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.28–2.58 Å. In the fourteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.29–2.56 Å. In the fifteenth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of Lu–O bond distances ranging from 2.19–2.29 Å. In the sixteenth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Lu–O bond distances ranging from 2.13–2.41 Å. In the seventeenth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Lu–O bond distances ranging from 2.14–2.41 Å. In the eighteenth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Lu–O bond distances ranging from 2.16–2.31 Å. In the nineteenth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Lu–O bond distances ranging from 2.17–2.29 Å. In the twentieth Lu3+ site, Lu3+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Lu–O bond distances ranging from 2.15–2.30 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form OCa2Lu3 square pyramids that share corners with four OCa2Lu3 trigonal bipyramids, corners with four OSrLu3 trigonal pyramids, edges with two equivalent OCa2Lu3 square pyramids, edges with four OCa2Lu3 trigonal bipyramids, and an edgeedge with one OSrLu3 trigonal pyramid. In the second O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form distorted OCa2Lu3 square pyramids that share corners with four OCa2Lu3 trigonal bipyramids, a cornercorner with one OLu4 trigonal pyramid, edges with two equivalent OCa2Lu3 square pyramids, and edges with four OCa2Lu3 trigonal bipyramids. In the third O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form distorted OCa2Lu3 square pyramids that share corners with four OCa2Lu3 trigonal bipyramids, corners with three OLu4 trigonal pyramids, edges with two equivalent OCa2Lu3 square pyramids, and edges with four OCa2Lu3 trigonal bipyramids. In the fourth O2- site, O2- is bonded to five Lu3+ atoms to form OLu5 square pyramids that share corners with four OLu5 trigonal bipyramids, corners with two equivalent OSrLu3 trigonal pyramids, edges with two equivalent OLu5 square pyramids, edges with four OCa2Lu3 trigonal bipyramids, and edges with two equivalent OLu4 trigonal pyramids. In the fifth O2- site, O2- is bonded to five Lu3+ atoms to form OLu5 square pyramids that share corners with four OLu5 trigonal bipyramids, corners with two equivalent OSrLu3 trigonal pyramids, edges with two equivalent OLu5 square pyramids, edges with four OCa2Lu3 trigonal bipyramids, and edges with two equivalent OLu4 trigonal pyramids. In the sixth O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form OCa2Lu3 square pyramids that share corners with four OCa2Lu3 trigonal bipyramids, corners with four OSrLu3 trigonal pyramids, edges with two equivalent OCa2Lu3 square pyramids, edges with four OCa2Lu3 trigonal bipyramids, and an edgeedge with one OSrLu3 trigonal pyramid. In the seventh O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form distorted OCa2Lu3 trigonal bipyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with two equivalent OCa2Lu3 trigonal bipyramids, corners with three OLu4 trigonal pyramids, edges with three OCa2Lu3 square pyramids, edges with three OCa2Lu3 trigonal bipyramids, and an edgeedge with one OLu4 trigonal pyramid. In the eighth O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form distorted OCa2Lu3 trigonal bipyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with two equivalent OCa2Lu3 trigonal bipyramids, corners with three OLu4 trigonal pyramids, edges with three OCa2Lu3 square pyramids, edges with three OCa2Lu3 trigonal bipyramids, and an edgeedge with one OLu4 trigonal pyramid. In the ninth O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form distorted OCa2Lu3 trigonal bipyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with two equivalent OCa2Lu3 trigonal bipyramids, corners with three OSrLu3 trigonal pyramids, edges with three OCa2Lu3 square pyramids, and edges with three OCa2Lu3 trigonal bipyramids. In the tenth O2- site, O2- is bonded to two equivalent Ca2+ and three Lu3+ atoms to form distorted OCa2Lu3 trigonal bipyramids that share corners with two equivalent OCa2Lu3 square pyramids, corners with two equivalent OCa2Lu3 trigonal bipyramids, corners with three OSrLu3 trigonal pyramids, edges with three OCa2Lu3 square pyramids, and edges with three OCa2Lu3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded to five Lu3+ atoms to form distorted OLu5 trigonal bipyramids that share corners with two equivalent OLu5 square pyramids, corners with two equivalent OLu5 trigonal bipyramids, edges with three OLu5 square pyramids, edges with three OLu5 trigonal bipyramids, and edges with two equivalent OLu4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to five Lu3+ atoms to form distorted OLu5 trigonal bipyramids that share corners with two equivalent OLu5 square pyramids, corners with two equivalent OLu5 trigonal bipyramids, a cornercorner with one OSrLu3 trigonal pyramid, edges with three OCa2Lu3 square pyramids, edges with three OLu5 trigonal bipyramids, and edges with two equivalent OLu4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Lu3+ atoms to form distorted OLu4 trigonal pyramids that share a cornercorner with one OCa2Lu3 square pyramid, corners with four OCa2Lu3 trigonal bipyramids, corners with two equivalent OLu4 trigonal pyramids, edges with two equivalent OLu5 square pyramids, and edges with three OCa2Lu3 trigonal bipyramids. In the fourteenth O2- site, O2- is bonded to four Lu3+ atoms to form distorted OLu4 trigonal pyramids that share a cornercorner with one OCa2Lu3 square pyramid, corners with four OCa2Lu3 trigonal bipyramids, corners with two equivalent OLu4 trigonal pyramids, edges with two equivalent OLu5 square pyramids, and edges with three OCa2Lu3 trigonal bipyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Lu3+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Lu3+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Lu3+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Lu3+ atoms. In the nineteenth O2- site, O2- is bonded to one Sr2+ and three Lu3+ atoms to form distorted OSrLu3 trigonal pyramids that share corners with two equivalent OLu5 square pyramids, corners with five OCa2Lu3 trigonal bipyramids, corners with five OSrLu3 trigonal pyramids, an edgeedge with one OCa2Lu3 trigonal bipyramid, and an edgeedge with one OSrLu3 trigonal pyramid. In the twentieth O2- site, O2- is bonded to one Sr2+ and three Lu3+ atoms to form distorte

36 MATERIALS SCIENCE↗

Materials Data on Sm3Bi5O12 by Materials Project

Sm3Bi5O12 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Sm–O bond distances ranging from 2.33–2.43 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with six BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.40 Å. In the third Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sm–O bond distances ranging from 2.33–2.45 Å. In the fourth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share a cornercorner with one SmO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one SmO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.36–2.38 Å. In the fifth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sm–O bond distances ranging from 2.37–2.39 Å. In the sixth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share a cornercorner with one SmO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one SmO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Sm–O bond distances ranging from 2.36–2.39 Å. There are ten inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.54 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.52 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.32–2.53 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Bi–O bond distances ranging from 2.32–2.53 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two SmO6 octahedra, corners with four BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.31–2.54 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.31–2.54 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with three SmO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.52 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Bi–O bond distances ranging from 2.32–2.53 Å. In the ninth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Bi–O bond distances ranging from 2.31–2.54 Å. In the tenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three SmO6 octahedra, corners with three BiO6 octahedra, edges with two SmO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.52 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSmBi3 trigonal pyramids. In the second O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 tetrahedra that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the third O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, edges with two OSm2Bi2 tetrahedra, and edges with two OSmBi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, edges with two OSm2Bi2 tetrahedra, and edges with two OSmBi3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm2Bi2 tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Sm3+ and one Bi3+ atom to form distorted OSm3Bi tetrahedra that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form a mixture of distorted edge and corner-sharing OSmBi3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSmBi3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, and edges with four OSmBi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share a cornercorner with one OSm3Bi tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Sm3+ and two Bi3+ atoms to form distorted OSm2Bi2 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, an edgeedge with one OSm2Bi2 tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSmBi3 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Sm3+ and one Bi3+ atom to form distorted OSm3Bi tetrahedra that share a cornercorner with one OSm2Bi2 tetrahedra, corners with eleven OSm2Bi2 trigonal pyramids, an edgeedge with one OSm3Bi tetrahedra, and edges with three OSm2Bi2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Sm3+ and three Bi3+ atoms to form distorted OSmBi3 trigonal pyramids that share corners with two OSm3Bi tetrahedra, corners with ten OSm2Bi2 trigonal pyramids, and edges with four OSm2Bi2 trigonal pyramids. In the twenty-third O2- site,

36 MATERIALS SCIENCE↗

Materials Data on Np3S5 by Materials Project

Np3S5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Np+3.33+ sites. In the first Np+3.33+ site, Np+3.33+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Np–S bond distances ranging from 2.78–2.99 Å. In the second Np+3.33+ site, Np+3.33+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Np–S bond distances ranging from 2.78–2.99 Å. In the third Np+3.33+ site, Np+3.33+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Np–S bond distances ranging from 2.78–2.99 Å. In the fourth Np+3.33+ site, Np+3.33+ is bonded in a 8-coordinate geometry to eight S2- atoms. There are a spread of Np–S bond distances ranging from 2.77–3.00 Å. In the fifth Np+3.33+ site, Np+3.33+ is bonded to seven S2- atoms to form distorted edge-sharing NpS7 pentagonal bipyramids. There are a spread of Np–S bond distances ranging from 2.66–2.82 Å. In the sixth Np+3.33+ site, Np+3.33+ is bonded to seven S2- atoms to form distorted edge-sharing NpS7 pentagonal bipyramids. There are a spread of Np–S bond distances ranging from 2.65–2.83 Å. In the seventh Np+3.33+ site, Np+3.33+ is bonded to seven S2- atoms to form distorted edge-sharing NpS7 pentagonal bipyramids. There are a spread of Np–S bond distances ranging from 2.64–2.82 Å. In the eighth Np+3.33+ site, Np+3.33+ is bonded to seven S2- atoms to form distorted edge-sharing NpS7 pentagonal bipyramids. There are a spread of Np–S bond distances ranging from 2.64–2.83 Å. There are sixteen inequivalent S2- sites. In the first S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 trigonal bipyramids that share corners with six SNp5 square pyramids, corners with four equivalent SNp5 trigonal bipyramids, corners with two equivalent SNp4 trigonal pyramids, edges with six SNp5 square pyramids, and edges with two equivalent SNp4 trigonal pyramids. In the second S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 trigonal bipyramids that share corners with six SNp5 square pyramids, corners with four equivalent SNp5 trigonal bipyramids, corners with four SNp4 trigonal pyramids, edges with six SNp5 square pyramids, and edges with two equivalent SNp4 trigonal pyramids. In the third S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 trigonal bipyramids that share corners with six SNp5 square pyramids, corners with four equivalent SNp5 trigonal bipyramids, corners with four SNp4 trigonal pyramids, edges with six SNp5 square pyramids, and edges with four SNp4 trigonal pyramids. In the fourth S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 trigonal bipyramids that share corners with six SNp5 square pyramids, corners with four equivalent SNp5 trigonal bipyramids, corners with two equivalent SNp4 trigonal pyramids, edges with six SNp5 square pyramids, and edges with four SNp4 trigonal pyramids. In the fifth S2- site, S2- is bonded to five Np+3.33+ atoms to form SNp5 square pyramids that share corners with four SNp5 square pyramids, corners with five SNp5 trigonal bipyramids, corners with eight SNp4 trigonal pyramids, edges with three SNp5 square pyramids, edges with two SNp5 trigonal bipyramids, and a faceface with one SNp5 square pyramid. In the sixth S2- site, S2- is bonded to five Np+3.33+ atoms to form SNp5 square pyramids that share corners with four SNp5 square pyramids, corners with five SNp5 trigonal bipyramids, corners with six SNp4 trigonal pyramids, edges with three SNp5 square pyramids, edges with two SNp5 trigonal bipyramids, edges with two equivalent SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid. In the seventh S2- site, S2- is bonded to five Np+3.33+ atoms to form SNp5 square pyramids that share corners with four SNp5 square pyramids, corners with five SNp5 trigonal bipyramids, corners with six SNp4 trigonal pyramids, edges with three SNp5 square pyramids, edges with two SNp5 trigonal bipyramids, edges with two equivalent SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid. In the eighth S2- site, S2- is bonded to five Np+3.33+ atoms to form SNp5 square pyramids that share corners with four SNp5 square pyramids, corners with five SNp5 trigonal bipyramids, corners with four SNp4 trigonal pyramids, edges with three SNp5 square pyramids, edges with two SNp5 trigonal bipyramids, edges with two equivalent SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid. In the ninth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four Np+3.33+ atoms. In the tenth S2- site, S2- is bonded to four Np+3.33+ atoms to form distorted SNp4 trigonal pyramids that share corners with six SNp5 square pyramids, corners with two SNp5 trigonal bipyramids, corners with four SNp4 trigonal pyramids, edges with three SNp5 square pyramids, edges with two SNp5 trigonal bipyramids, and an edgeedge with one SNp4 trigonal pyramid. In the eleventh S2- site, S2- is bonded to four Np+3.33+ atoms to form distorted SNp4 trigonal pyramids that share corners with six SNp5 square pyramids, corners with two SNp5 trigonal bipyramids, corners with six SNp4 trigonal pyramids, edges with three SNp5 square pyramids, edges with two SNp5 trigonal bipyramids, and an edgeedge with one SNp4 trigonal pyramid. In the twelfth S2- site, S2- is bonded to four Np+3.33+ atoms to form distorted SNp4 trigonal pyramids that share corners with six SNp5 square pyramids, corners with two SNp5 trigonal bipyramids, corners with four SNp4 trigonal pyramids, edges with three SNp5 square pyramids, and edges with two SNp5 trigonal bipyramids. In the thirteenth S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 square pyramids that share corners with eight SNp5 square pyramids, a cornercorner with one SNp5 trigonal bipyramid, corners with four SNp4 trigonal pyramids, an edgeedge with one SNp5 square pyramid, edges with four SNp5 trigonal bipyramids, edges with two equivalent SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid. In the fourteenth S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 square pyramids that share corners with eight SNp5 square pyramids, a cornercorner with one SNp5 trigonal bipyramid, corners with two equivalent SNp4 trigonal pyramids, an edgeedge with one SNp5 square pyramid, edges with four SNp5 trigonal bipyramids, edges with two equivalent SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid. In the fifteenth S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 square pyramids that share corners with eight SNp5 square pyramids, a cornercorner with one SNp5 trigonal bipyramid, corners with two equivalent SNp4 trigonal pyramids, an edgeedge with one SNp5 square pyramid, edges with four SNp5 trigonal bipyramids, edges with four SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid. In the sixteenth S2- site, S2- is bonded to five Np+3.33+ atoms to form distorted SNp5 square pyramids that share corners with eight SNp5 square pyramids, a cornercorner with one SNp5 trigonal bipyramid, corners with four SNp4 trigonal pyramids, an edgeedge with one SNp5 square pyramid, edges with four SNp5 trigonal bipyramids, edges with four SNp4 trigonal pyramids, and a faceface with one SNp5 square pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Cd4Bi2O7 by Materials Project

Cd4Bi2O7 is Aluminum carbonitride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four O2- atoms to form distorted CdO4 tetrahedra that share a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one CdO5 square pyramid, a cornercorner with one BiO5 square pyramid, a cornercorner with one CdO5 trigonal bipyramid, an edgeedge with one BiO6 pentagonal pyramid, and an edgeedge with one BiO5 square pyramid. There are a spread of Cd–O bond distances ranging from 2.24–2.32 Å. In the second Cd2+ site, Cd2+ is bonded to five O2- atoms to form CdO5 trigonal bipyramids that share a cornercorner with one BiO6 octahedra, corners with two BiO5 square pyramids, a cornercorner with one CdO4 tetrahedra, a cornercorner with one CdO5 trigonal bipyramid, a cornercorner with one CdO4 trigonal pyramid, and an edgeedge with one BiO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 65°. There are a spread of Cd–O bond distances ranging from 2.28–2.37 Å. In the third Cd2+ site, Cd2+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.19–2.31 Å. In the fourth Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.22–2.53 Å. In the fifth Cd2+ site, Cd2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cd–O bond distances ranging from 2.20–2.98 Å. In the sixth Cd2+ site, Cd2+ is bonded to four O2- atoms to form distorted CdO4 trigonal pyramids that share a cornercorner with one BiO6 pentagonal pyramid, corners with three BiO5 square pyramids, corners with two CdO5 trigonal bipyramids, and an edgeedge with one BiO6 pentagonal pyramid. There are a spread of Cd–O bond distances ranging from 2.16–2.38 Å. In the seventh Cd2+ site, Cd2+ is bonded to five O2- atoms to form distorted CdO5 trigonal bipyramids that share a cornercorner with one BiO6 octahedra, a cornercorner with one CdO5 square pyramid, a cornercorner with one CdO5 trigonal bipyramid, a cornercorner with one CdO4 trigonal pyramid, an edgeedge with one CdO6 octahedra, an edgeedge with one BiO6 pentagonal pyramid, and an edgeedge with one BiO5 square pyramid. The corner-sharing octahedral tilt angles are 24°. There are a spread of Cd–O bond distances ranging from 2.25–2.52 Å. In the eighth Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 octahedra that share a cornercorner with one CdO5 square pyramid, corners with two BiO5 square pyramids, an edgeedge with one BiO6 octahedra, and an edgeedge with one CdO5 trigonal bipyramid. There are a spread of Cd–O bond distances ranging from 2.26–2.54 Å. In the ninth Cd2+ site, Cd2+ is bonded to five O2- atoms to form distorted CdO5 square pyramids that share a cornercorner with one CdO6 octahedra, a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one BiO5 square pyramid, a cornercorner with one CdO4 tetrahedra, a cornercorner with one CdO5 trigonal bipyramid, an edgeedge with one BiO6 pentagonal pyramid, and an edgeedge with one BiO5 square pyramid. The corner-sharing octahedral tilt angles are 25°. There are a spread of Cd–O bond distances ranging from 2.21–2.45 Å. In the tenth Cd2+ site, Cd2+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.22–2.37 Å. In the eleventh Cd2+ site, Cd2+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.19–2.36 Å. In the twelfth Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.09–2.35 Å. In the thirteenth Cd2+ site, Cd2+ is bonded in a see-saw-like geometry to four O2- atoms. There are a spread of Cd–O bond distances ranging from 2.15–2.41 Å. In the fourteenth Cd2+ site, Cd2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cd–O bond distances ranging from 2.20–2.84 Å. In the fifteenth Cd2+ site, Cd2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Cd–O bond distances ranging from 2.29–2.53 Å. In the sixteenth Cd2+ site, Cd2+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Cd–O bond distances ranging from 2.23–2.39 Å. There are eight inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 pentagonal pyramids that share a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one BiO5 square pyramid, a cornercorner with one CdO4 trigonal pyramid, an edgeedge with one CdO5 square pyramid, an edgeedge with one BiO5 square pyramid, an edgeedge with one CdO4 tetrahedra, and an edgeedge with one CdO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.25–2.63 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form BiO6 octahedra that share a cornercorner with one BiO6 pentagonal pyramid, corners with two BiO5 square pyramids, corners with two CdO5 trigonal bipyramids, and an edgeedge with one CdO6 octahedra. There are a spread of Bi–O bond distances ranging from 2.11–2.24 Å. In the third Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one BiO6 octahedra, a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one CdO5 square pyramid, a cornercorner with one CdO4 tetrahedra, a cornercorner with one CdO4 trigonal pyramid, and an edgeedge with one BiO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Bi–O bond distances ranging from 2.21–2.42 Å. In the fourth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one CdO6 octahedra, a cornercorner with one BiO6 octahedra, a cornercorner with one CdO5 trigonal bipyramid, and a cornercorner with one CdO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 21–62°. There are a spread of Bi–O bond distances ranging from 2.13–2.40 Å. In the fifth Bi3+ site, Bi3+ is bonded to five O2- atoms to form distorted BiO5 square pyramids that share a cornercorner with one CdO6 octahedra, a cornercorner with one CdO5 trigonal bipyramid, a cornercorner with one CdO4 trigonal pyramid, an edgeedge with one BiO6 pentagonal pyramid, an edgeedge with one CdO5 square pyramid, an edgeedge with one CdO4 tetrahedra, an edgeedge with one CdO5 trigonal bipyramid, and a faceface with one BiO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 74°. There are a spread of Bi–O bond distances ranging from 2.17–2.56 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 pentagonal pyramids that share a cornercorner with one BiO6 octahedra, a cornercorner with one BiO6 pentagonal pyramid, a cornercorner with one CdO5 square pyramid, a cornercorner with one CdO4 tetrahedra, an edgeedge with one BiO5 square pyramid, an edgeedge with one CdO5 trigonal bipyramid, an edgeedge with one CdO4 trigonal pyramid, and a faceface with one BiO5 square pyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Bi–O bond distances ranging from 2.18–2.74 Å. In the seventh Bi3+ site, Bi3+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.13–2.41 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–2.82 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi tetrahedra that share corners with five OCd3Bi tetrahedra, corners with three OCd2Bi2 trigonal pyramids, and an edgeedge with one OCd2Bi2 tetrahedra. In the second O2- site, O2- is bonded to two Cd2+ and two Bi3+ atoms to form distorted OCd2Bi2 tetrahedra that share corners with two OCd3Bi tetrahedra, corners with two OCd4Bi trigonal bipyramids, corners with two OCd2Bi2 trigonal pyramids, edges with two OCd3Bi tetrahedra, and an edgeedge with one OCd3Bi trigonal pyramid. In the third O2- site, O2- is bonded to four Cd2+ atoms to form OCd4 tetrahedra that share corners with five OCd2Bi2 tetrahedra, corners with two OCd4Bi trigonal bipyramids, a cornercorner with one OCd3Bi trigonal pyramid, and edges with two OCd3Bi trigonal pyramids. In the fourth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi tetrahedra that share corners with two OCd2Bi2 tetrahedra, corners with two OCd4Bi trigonal bipyramids, corners with three OCd2Bi2 trigonal pyramids, and an edgeedge with one OCd2Bi2 tetrahedra. In the fifth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi trigonal pyramids that share corners with five OCd3Bi tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with two OCd2Bi2 trigonal pyramids, and an edgeedge with one OCd2Bi2 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Cd2+ and one Bi3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Cd2+ and one Bi3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Cd2+ and two Bi3+ atoms. In the ninth O2- site, O2- is bonded to two Cd2+ and two Bi3+ atoms to form distorted OCd2Bi2 trigonal pyramids that share corners with six OCd2Bi2 tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with two OCd3Bi trigonal pyramids, and an edgeedge with one OCd4Bi trigonal bipyramid. In the tenth O2- site, O2- is bonded to two Cd2+ and two Bi3+ atoms to form distorted OCd2Bi2 tetrahedra that share corners with three OCd2Bi2 tetrahedra, corners with three OCd2Bi2 trigonal pyramids, an edgeedge with one OCd3Bi tetrahedra, and an edgeedge with one OCd3Bi2 trigonal bipyramid. In the eleventh O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form distorted OCd3Bi tetrahedra that share corners with four OCd3Bi tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with three OCd3Bi trigonal pyramids, an edgeedge with one OCdBi3 tetrahedra, and an edgeedge with one OCd3Bi trigonal pyramid. In the twelfth O2- site, O2- is bonded to four Cd2+ and one Bi3+ atom to form distorted OCd4Bi trigonal bipyramids that share corners with three OCd3Bi tetrahedra, corners with two OCd2Bi2 trigonal pyramids, an edgeedge with one OCd4Bi trigonal bipyramid, and an edgeedge with one OCd3Bi trigonal pyramid. In the thirteenth O2- site, O2- is bonded to four Cd2+ and one Bi3+ atom to form OCd4Bi trigonal bipyramids that share corners with three OCd3Bi tetrahedra, corners with two OCd3Bi trigonal pyramids, an edgeedge with one OCd2Bi2 tetrahedra, edges with two OCd4Bi trigonal bipyramids, and an edgeedge with one OCd2Bi2 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form distorted OCd3Bi trigonal pyramids that share corners with four OCd2Bi2 tetrahedra, a cornercorner with one OCd4Bi trigonal bipyramid, corners with two OCd2Bi2 trigonal pyramids, edges with two OCd3Bi tetrahedra, and an edgeedge with one OCd3Bi2 trigonal bipyramid. In the fifteenth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form OCd3Bi tetrahedra that share corners with three OCd3Bi tetrahedra, a cornercorner with one OCd3Bi2 trigonal bipyramid, and a cornercorner with one OCd2Bi2 trigonal pyramid. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to four Cd2+ and one Bi3+ atom. In the seventeenth O2- site, O2- is bonded to three Cd2+ and one Bi3+ atom to form distorted OCd3Bi trigonal

36 MATERIALS SCIENCE↗

Materials Data on Sm11Y5O24 by Materials Project

Sm11Y5O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Sm3+ sites. In the first Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the second Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.44 Å. In the third Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the fourth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Sm–O bond distances ranging from 2.35–2.37 Å. In the fifth Sm3+ site, Sm3+ is bonded to six O2- atoms to form SmO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sm–O bond distances ranging from 2.35–2.38 Å. In the sixth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with six SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Sm–O bond distances ranging from 2.33–2.43 Å. In the seventh Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sm–O bond distances ranging from 2.32–2.43 Å. In the eighth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.43 Å. In the ninth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Sm–O bond distances ranging from 2.32–2.42 Å. In the tenth Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share a cornercorner with one YO6 octahedra, corners with five SmO6 octahedra, edges with two YO6 octahedra, and edges with four SmO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Sm–O bond distances ranging from 2.33–2.42 Å. In the eleventh Sm3+ site, Sm3+ is bonded to six O2- atoms to form distorted SmO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, and edges with six SmO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Sm–O bond distances ranging from 2.32–2.42 Å. There are five inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six SmO6 octahedra, edges with three SmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.29–2.38 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.28–2.38 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four SmO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Y–O bond distances ranging from 2.28–2.39 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, an edgeedge with one YO6 octahedra, and edges with five SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three SmO6 octahedra, corners with three YO6 octahedra, and edges with six SmO6 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Y–O bond distances ranging from 2.28–2.37 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the second O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm3Y trigonal pyramids. In the third O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 tetrahedra that share corners with two OSm3Y tetrahedra, corners with ten OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the fifth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, and edges with four OSm2Y2 tetrahedra. In the seventh O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the eighth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm2Y2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the tenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with four OSm3Y tetrahedra, corners with eight OSm3Y trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSmY3 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm2Y2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm3Y trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm3Y trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form distorted OSm2Y2 trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Sm3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OSm2Y2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, an edgeedge with one OSm2Y2 tetrahedra, and edges with three OSm4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with three OSm2Y2 tetrahedra, corners with nine OSm2Y2 trigonal pyramids, edges with two OSm3Y tetrahedra, and edges with two OSm3Y trigonal pyramids. In the twentieth O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y tetrahedra that share corners with five OSm3Y tetrahedra, corners with seven OSm4 trigonal pyramids, and edges with four OSm2Y2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Sm3+ and three Y3+ atoms to form distorted OSmY3 trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with two OSm2Y2 tetrahedra, and edges with two OSm2Y2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyramids that share corners with five OSm3Y tetrahedra, corners with seven OSm2Y2 trigonal pyramids, and edges with four OSm3Y trigonal pyramids. In the twenty-third O2- site, O2- is bonded to three Sm3+ and one Y3+ atom to form distorted OSm3Y trigonal pyramids that share corners with two OSm3Y tetrahedra, corners with ten OSm2Y2 trigonal pyramids, edges with three OSm2Y2 tetrahedra, and an edgeedge with one OSm4 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to four Sm3+ atoms to form distorted OSm4 trigonal pyr

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.08 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.14 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.24 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.23 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.08 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.22 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.16 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.10 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.09 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.19 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.18 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.10 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.20 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.19 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.10 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4O8 by Materials Project

Li3Mn4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.10 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 2.01–2.35 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 2.01–2.30 Å. In the fourth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.57 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.35 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Li–O bond distances ranging from 2.01–2.24 Å. In the seventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.11 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 42–54°. There are a spread of Li–O bond distances ranging from 2.01–2.33 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, edges with two equivalent LiO5 trigonal bipyramids, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–54°. There are a spread of Li–O bond distances ranging from 2.01–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with four MnO6 octahedra, corners with four MnO5 square pyramids, an edgeedge with one MnO5 square pyramid, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–58°. There are a spread of Li–O bond distances ranging from 2.02–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.40 Å. In the twelfth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.69 Å. There are sixteen inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Mn–O bond distances ranging from 1.92–2.13 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.11 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.08 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.24 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.07 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with three LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.25 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Mn–O bond distances ranging from 1.92–2.13 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with three LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.11 Å. In the ninth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. In the tenth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. In the eleventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with two LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the twelfth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with four LiO5 trigonal bipyramids, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with four LiO5 trigonal bipyramids, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.17 Å. In the fourteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, corners with two LiO5 trigonal bipyramids, edges with four MnO6 octahedra, and a faceface with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the fifteenth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with two LiO5 trigonal bipyramids, edges with two equivalent MnO5 square pyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Mn–O bond distances ranging from 1.90–2.14 Å. In the sixteenth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with four MnO6 octahedra, corners with four LiO5 trigonal bipyramids, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.92–2.05 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi2Mn3 trigonal bipyramid, and an edgeedge with one OLi3Mn2 trigonal bipyramid. In the second O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLi3Mn2 trigonal bipyramids and corners with two equivalent OLiMn3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.25+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 tetrahedra and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLiMn3 tetrahedra and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.25+ atoms. In the seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLi3Mn2 trigonal bipyramids and corners with two equivalent OLiMn3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi2Mn3 trigonal bipyramid, and an edgeedge with one OLi3Mn2 trigonal bipyramid. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi3Mn2 trigonal bipyramid, corners with two OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the tenth O2- site, O2- is bonded to one Li1+ and three Mn+3.25+ atoms to form distorted OLiMn3 tetrahedra that share corners with two equivalent OLiMn3 tetrahedra, a cornercorner with one OLi3Mn2 trigonal bipyramid, corners with two OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn3 trigonal bipyramid. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.25+ atoms. In the twelfth O2-

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn3(PO4)4 by Materials Project

Li3Mn3(PO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 1.93–2.27 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.92–2.25 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.89–2.30 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.88–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 1.94–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of Li–O bond distances ranging from 1.90–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Li–O bond distances ranging from 1.90–2.32 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.88–2.33 Å. There are nine inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO5 square pyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.34 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one MnO5 square pyramid, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.31 Å. In the third Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mn–O bond distances ranging from 1.90–2.05 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO5 square pyramid, corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.52 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO5 square pyramid, corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.55 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.89–2.33 Å. In the seventh Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of Mn–O bond distances ranging from 1.87–2.17 Å. In the eighth Mn3+ site, Mn3+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.90–2.05 Å. In the ninth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.92–2.35 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 38–52°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–51°. There is two shorter (1.55 Å) and two longer (1.56 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 37–50°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 square pyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 33–50°. There is one shorter (1.54 Å) and three longer (1.56 Å) P–O bond length. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 40–50°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of P–O bond distances ranging from 1.49–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 32–50°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 35–49°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, corners with three LiO5 trigonal bipyramids, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–49°. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. There are for

36 MATERIALS SCIENCE↗

Materials Data on Li11Cr3Fe3O16 by Materials Project

Li11Cr3Fe3O16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eleven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–1.98 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four CrO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, edges with two equivalent LiO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 3–68°. There are a spread of Li–O bond distances ranging from 2.07–2.24 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent LiO5 trigonal bipyramids, edges with two equivalent FeO6 octahedra, edges with four CrO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.26 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.03 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four CrO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, edges with two equivalent LiO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 4–68°. There are a spread of Li–O bond distances ranging from 2.02–2.15 Å. In the seventh Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two equivalent CrO6 octahedra, corners with two FeO6 octahedra, corners with three equivalent LiO6 octahedra, corners with four LiO5 trigonal bipyramids, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two CrO6 octahedra. The corner-sharing octahedra tilt angles range from 3–65°. There are a spread of Li–O bond distances ranging from 2.03–2.15 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO5 trigonal bipyramids, corners with three equivalent LiO4 trigonal pyramids, edges with two equivalent CrO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the ninth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.27 Å. In the tenth 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 1.98–2.07 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one FeO6 octahedra, corners with two CrO6 octahedra, corners with three equivalent LiO6 octahedra, corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one CrO6 octahedra, edges with two FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–69°. There are a spread of Li–O bond distances ranging from 1.86–1.89 Å. There are three inequivalent Cr4+ sites. In the first Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 2.00–2.05 Å. In the second Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with three equivalent LiO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, and edges with two LiO5 trigonal bipyramids. There are a spread of Cr–O bond distances ranging from 1.90–2.05 Å. In the third Cr4+ site, Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with four LiO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with four FeO6 octahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.92–2.15 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO5 trigonal bipyramids, edges with two equivalent LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with two equivalent FeO6 octahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.93–2.15 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 trigonal pyramid, edges with two equivalent LiO6 octahedra, edges with four CrO6 octahedra, and edges with three LiO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and two Cr4+ atoms to form OLi3Cr2 trigonal bipyramids that share corners with three equivalent OLi4Cr2 octahedra, corners with four OLi3CrFe square pyramids, corners with four OLi2CrFe2 trigonal bipyramids, edges with three OLi3Cr2Fe octahedra, and edges with two OLi3CrFe square pyramids. The corner-sharing octahedra tilt angles range from 1–13°. In the second O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi4Fe2 octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi2CrFe2 trigonal bipyramids. In the third O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with three equivalent OLi4CrFe octahedra, corners with four OLi3Cr2 trigonal bipyramids, edges with three OLi3Cr2Fe octahedra, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the fourth O2- site, O2- is bonded to two Li1+, one Cr4+, and two Fe3+ atoms to form OLi2CrFe2 trigonal bipyramids that share corners with three equivalent OLi3CrFe2 pentagonal pyramids, corners with four OLi3CrFe square pyramids, corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi4Fe2 octahedra, and edges with two OLi3CrFe square pyramids. In the fifth O2- site, O2- is bonded to three Li1+, one Cr4+, and two Fe3+ atoms to form distorted OLi3CrFe2 pentagonal pyramids that share corners with two equivalent OLi3Cr2Fe octahedra, corners with three equivalent OLi2CrFe2 trigonal bipyramids, edges with five OLi4Cr2 octahedra, edges with two OLi3CrFe square pyramids, and an edgeedge with one OLi3Fe2 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 21–22°. In the sixth O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi4Fe2 octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi2CrFe2 trigonal bipyramids. In the seventh O2- site, O2- is bonded to three Li1+ and two Fe3+ atoms to form OLi3Fe2 trigonal bipyramids that share corners with three equivalent OLi4Fe2 octahedra, corners with four OLi3CrFe square pyramids, corners with four OLi3Cr2 trigonal bipyramids, an edgeedge with one OLi3CrFe2 pentagonal pyramid, and edges with two OLi3CrFe square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr4+, and one Fe3+ atom. In the ninth O2- site, O2- is bonded to three Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi3CrFe square pyramids that share corners with three equivalent OLi4CrFe octahedra, corners with four OLi3Cr2 trigonal bipyramids, edges with three OLi3Cr2Fe octahedra, edges with two equivalent OLi3CrFe square pyramids, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 1–11°. In the tenth O2- site, O2- is bonded to four Li1+ and two Cr4+ atoms to form OLi4Cr2 octahedra that share corners with two equivalent OLi4Fe2 octahedra, corners with three equivalent OLi3Cr2 trigonal bipyramids, edges with six OLi3Cr2Fe octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, edges with two OLi3CrFe square pyramids, and an edgeedge with one OLi2Cr2Fe trigonal bipyramid. The corner-sharing octahedra tilt angles range from 29–30°. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Cr4+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded to four Li1+, one Cr4+, and one Fe3+ atom to form distorted OLi4CrFe octahedra that share corners with two OLi3Cr2Fe octahedra, corners with three equivalent OLi3CrFe square pyramids, edges with five OLi3Cr2Fe octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, an edgeedge with one OLi3CrFe square pyramid, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–85°. In the thirteenth O2- site, O2- is bonded to two Li1+, two Cr4+, and one Fe3+ atom to form OLi2Cr2Fe trigonal bipyramids that share corners with three equivalent OLi3Cr2Fe octahedra, corners with four OLi3CrFe square pyramids, corners with four OLi3Cr2 trigonal bipyramids, edges with three OLi4Cr2 octahedra, and edges with two OLi3CrFe square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to four Li1+, one Cr4+, and one Fe3+ atom to form OLi4CrFe octahedra that share corners with two OLi3Cr2Fe octahedra, corners with three equivalent OLi3CrFe square pyramids, edges with five OLi3Cr2Fe octahedra, an edgeedge with one OLi3CrFe2 pentagonal pyramid, an edgeedge with one OLi3CrFe square pyramid, and edges with two OLi3Cr2 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 66–86°. In the fifteenth O2- site, O2- is bonded to four Li1+ and two Fe3+ atoms to form distorted OLi4Fe2 octahedra that share corners with four OLi4Cr2 octahedra, corners with three equivalent OLi3Fe2 trigonal bipyramids, edges with two equ

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.57 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.16 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.12 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.15 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.09 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.97–2.16 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.17 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.13 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.22 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.25 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.45 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.39 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe+2.38+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

Li5Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.87–2.60 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.65 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 2.01–2.10 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.04 Å. There are eight inequivalent Fe+2.38+ sites. In the first Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.00–2.23 Å. In the second Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.08 Å. In the third Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, edges with two LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.08 Å. In the fourth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.08 Å. In the fifth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.93–2.37 Å. In the sixth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.22 Å. In the seventh Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.33 Å. In the eighth Fe+2.38+ site, Fe+2.38+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.35 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.38+ and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLiFe2B trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe+2.38+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.38+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.38+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.12 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 MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.10 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.07 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.20 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.31 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.40 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.15 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.26 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.38 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.29 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.23 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.64 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.44 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 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 1.37–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.42 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 1.36–1.41 Å. In the ninth 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 tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the eleventh 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 twelfth 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 thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the thirty-third O2- site, O2- is bonded in a distorted

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn5Fe3(BO3)8 by Materials Project

Li8Mn5Fe3(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. There are five inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.45 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.46 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.44 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.45 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.42 Å. There are three inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.41 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.42 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, an edgeedge with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.01–2.37 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 is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the sixth 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 seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted edge-sharing OLiMnFeB tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.27 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 MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.21 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.12–2.31 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.06 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.30 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.34 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.26 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.39 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.42 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.18 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.21 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.12 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.16 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the third 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 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 1.36–1.44 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 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the eleventh 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 twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with two OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗