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Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded 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 1.95–2.07 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 1.96–2.01 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 1.95–2.05 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 1.98–2.07 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 1.93–2.05 Å. There are six inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, 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 2.05–2.37 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, corners with two LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.38 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.36 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.41 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 trigonal pyramids, edges with two equivalent MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.13–2.26 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.11 Å. There are six 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 1.36–1.43 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 1.38–1.41 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 1.38–1.41 Å. 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 (1.37 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 (1.38 Å) and two longer (1.39 Å) B–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, 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+2.17+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.17+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with two equivalent OLi2MnB trigonal pyramids and an edgeedge with one OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.17+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, 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 corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with three FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.03 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 two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.08 Å. 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 FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.29 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 four 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 2.00–2.30 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 FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.29 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 LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.27 Å. In the fourth 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, 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 2.00–2.27 Å. In the fifth 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, 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 2.03–2.26 Å. In the sixth 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 FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.28 Å. In the seventh 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 FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.00–2.26 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 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 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 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 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 in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share a cornercorner with one OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. 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+, two Fe2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. 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 two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. 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 distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, 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 Fe2+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids.

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 four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.28 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.25 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.24 Å. There are eight 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 trigonal pyramids and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.07 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.03–2.27 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 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.22 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.04–2.15 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.08 Å. In the sixth 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, corners with three LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.20 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 MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.18 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 trigonal pyramid and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.03 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 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 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 1.34–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.32 Å) and two longer (1.42 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 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 1.35–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted tetrahedral 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 one Li1+, one Mn+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighteenth 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 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 bent 150 degrees geometry to one Mn+2.50+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe8(BO3)8 by Materials Project

Li3Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share 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 1.95–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four FeO5 trigonal bipyramids, 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 1.89–2.17 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 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 2.02–2.63 Å. There are eight inequivalent Fe+2.62+ sites. In the first Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.10 Å. In the second Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 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 2.06–2.27 Å. In the third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one 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 1.90–2.14 Å. In the fourth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.11 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.21 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 trigonal pyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.85–2.11 Å. In the seventh Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 1.99–2.31 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.06 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.44 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 1.37–1.40 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 1.34–1.43 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 1.36–1.44 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 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 Fe+2.62+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fifth O2- site, O2- is bonded to two Li1+, one Fe+2.62+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe+2.62+, and one B3+ atom to form distorted OLi2FeB tetrahedra that share corners with two equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.62+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Fe+2.62+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiFe2(BO3)2 by Materials Project

LiFe2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four FeO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three FeO5 trigonal bipyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.51 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, 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 1.92–2.17 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one 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 2.00–2.25 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.25 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.92–2.09 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.86–2.13 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.90–2.15 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.26 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two 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 1.98–2.20 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Fe+2.50+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Fe+2.50+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.50+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.50+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Y13Tm3O24 by Materials Project

Tm3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Tm–O bond distances ranging from 2.26–2.28 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form TmO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. All Tm–O bond lengths are 2.27 Å. In the third Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Tm–O bond distances ranging from 2.24–2.31 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with three TmO6 octahedra, corners with three YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, and edges with six YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are four shorter (2.30 Å) and two longer (2.31 Å) Y–O bond lengths. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with three TmO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, edges with two TmO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–55°. There are a spread of Y–O bond distances ranging from 2.26–2.35 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one TmO6 octahedra, corners with five YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two TmO6 octahedra, corners with four YO6 octahedra, an edgeedge with one TmO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Tm trigonal pyramids. In the second O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY4 trigonal pyramids. In the third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OY2Tm2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the seventh O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the eighth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OY3Tm trigonal pyramids and edges with four OY4 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm trigonal pyramids that share corners with twelve OY4 trigonal pyramids, an edgeedge with one OY3Tm tetrahedra, and edges with three OY3Tm trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OY3Tm trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3Tm trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form distorted OY3Tm tetrahedra that share corners with twelve OY3Tm trigonal pyramids and edges with four OY2Tm2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form a mixture of corner and edge-sharing OY3Tm trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Tm3+ and three Y3+ atoms to form OY3Tm trigonal pyramids that share corners with twelve OY4 trigonal pyramids and edges with four OY3Tm trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Tm3+ and two Y3+ atoms to form distorted OY2Tm2 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY2Tm2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share a cornercorner with one OY3Tm tetrahedra, corners with eleven OY3Tm trigonal pyramids, and edges with four OY4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnAl2O6 by Materials Project

Li3MnAl2O6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, corners with two equivalent MnO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, edges with two equivalent AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.04–2.09 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with four LiO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, edges with two LiO5 trigonal bipyramids, edges with two equivalent MnO5 trigonal bipyramids, and edges with two AlO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.15 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form LiO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids, corners with two equivalent MnO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, edges with two equivalent AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. Mn3+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO5 trigonal bipyramids, corners with four AlO5 trigonal bipyramids, edges with two AlO5 trigonal bipyramids, and edges with four LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.06 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share corners with two equivalent MnO5 trigonal bipyramids, corners with six LiO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, edges with two AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Al–O bond distances ranging from 1.78–1.99 Å. In the second Al3+ site, Al3+ is bonded to five O2- atoms to form AlO5 trigonal bipyramids that share corners with two equivalent MnO5 trigonal bipyramids, corners with six LiO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, edges with two AlO5 trigonal bipyramids, and edges with three LiO5 trigonal bipyramids. There are a spread of Al–O bond distances ranging from 1.83–1.95 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn3+, and two equivalent Al3+ atoms to form OLi2MnAl2 trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2MnAl2 trigonal bipyramids. In the second O2- site, O2- is bonded to two Li1+, one Mn3+, and two Al3+ atoms to form a mixture of edge and corner-sharing OLi2MnAl2 trigonal bipyramids. In the third O2- site, O2- is bonded to three Li1+, one Mn3+, and one Al3+ atom to form OLi3MnAl trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2MnAl2 trigonal bipyramids. In the fourth O2- site, O2- is bonded to three Li1+, one Mn3+, and one Al3+ atom to form OLi3MnAl trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2MnAl2 trigonal bipyramids. In the fifth O2- site, O2- is bonded to three Li1+ and two Al3+ atoms to form a mixture of edge and corner-sharing OLi3Al2 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two Li1+, one Mn3+, and two equivalent Al3+ atoms to form OLi2MnAl2 trigonal bipyramids that share corners with eight OLi3Al2 trigonal bipyramids and edges with six OLi2MnAl2 trigonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–54°. The Ti–N bond length is 2.02 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.93–2.19 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.84–2.18 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.18 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.18 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.92 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.16 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.94–2.19 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–54°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–50°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.19 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.95–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3(BO3)3 by Materials Project

Li2Mn3(BO3)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are 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 LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.10 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 and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. There are twelve inequivalent Mn+2.33+ sites. In the first Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.27 Å. In the second Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.09 Å. In the third Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.04–2.22 Å. In the fourth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.30 Å. In the fifth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.08 Å. In the sixth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.02–2.20 Å. In the seventh Mn+2.33+ site, Mn+2.33+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.03–2.24 Å. In the eighth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.25 Å. In the ninth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.21 Å. In the tenth Mn+2.33+ site, Mn+2.33+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.38 Å. In the eleventh Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.01–2.19 Å. In the twelfth Mn+2.33+ site, Mn+2.33+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with five LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.00–2.27 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 (1.37 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 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 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 1.37–1.40 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 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 1.37–1.40 Å. In the ninth 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 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 1.38–1.40 Å. In the eleventh 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 twelfth 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 thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the second O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the eighth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.33+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.33+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.33+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the nineteenth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.33+ and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded to two Li1+, one Mn+2.33+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.33+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.33+ and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded to one Li1+, two Mn+2.33+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with three OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.33+, and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn2(P2O7)2 by Materials Project

Li3Mn2(P2O7)2 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 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.31 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.86–1.96 Å. In the fourth 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 1.86–2.32 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, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.00–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.61 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.44 Å. In the ninth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.43 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, corners with two LiO5 trigonal bipyramids, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.90–2.00 Å. In the eleventh 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 1.91–2.18 Å. In the twelfth 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 1.91–2.39 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.30 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.19 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 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 2.06–2.20 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.98–2.28 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.74 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.20 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and edges with two LiO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.23 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 58°. There are a spread of P–O bond distances ranging from 1.51–1.61 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 PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 25–54°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–48°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with three LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.49–1.64 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO5 trigonal bipyramids, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 33–53°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and corners with two LiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.49–1.65 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two MnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distance

36 MATERIALS SCIENCE↗

Materials Data on Li17Fe4(CO3)16 by Materials Project

Li17Fe4(CO3)16 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seventeen inequivalent Li sites. In the first Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO5 square pyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.06–2.29 Å. In the second Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 73–79°. There are a spread of Li–O bond distances ranging from 2.00–2.19 Å. In the third Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 74–81°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the fourth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with two LiO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fifth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.09 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 trigonal pyramid and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the eighth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 17–66°. There are a spread of Li–O bond distances ranging from 1.99–2.16 Å. In the ninth Li site, Li is bonded in a 4-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 1.98–2.55 Å. In the tenth Li site, Li is bonded to four O atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the eleventh Li site, Li is bonded to four O atoms to form LiO4 trigonal pyramids that share a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one LiO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the twelfth Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–2.13 Å. In the thirteenth Li site, Li is bonded to five O atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one LiO5 square pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.30 Å. In the fourteenth Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 75–80°. There are a spread of Li–O bond distances ranging from 2.01–2.19 Å. In the fifteenth Li site, Li is bonded to five O atoms to form LiO5 square pyramids that share corners with two FeO6 octahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 73–76°. There are a spread of Li–O bond distances ranging from 2.03–2.26 Å. In the sixteenth Li site, Li is bonded in a 5-coordinate geometry to five O atoms. There are a spread of Li–O bond distances ranging from 2.05–2.43 Å. In the seventeenth Li site, Li is bonded to five O atoms to form LiO5 trigonal bipyramids that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO5 square pyramid, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of Li–O bond distances ranging from 2.06–2.28 Å. There are four inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.05–2.10 Å. In the second Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.16 Å. In the third Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids and an edgeedge with one LiO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.05–2.09 Å. In the fourth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share corners with two LiO5 square pyramids, a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.15 Å. There are sixteen inequivalent C sites. In the first C site, C is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.28 Å) and one longer (1.32 Å) C–O bond length. In the second C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the third C site, C is bonded in a trigonal planar geometry to three O atoms. There is two shorter (1.27 Å) and one longer (1.34 Å) C–O bond length. In the fourth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the fifth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the sixth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the seventh C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the eighth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the ninth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. In the tenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the eleventh C site, C is bonded in a trigonal planar geometry to three O atoms. There is one shorter (1.26 Å) and two longer (1.31 Å) C–O bond length. In the twelfth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. In the thirteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.33 Å. In the fourteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.34 Å. In the fifteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.26–1.32 Å. In the sixteenth C site, C is bonded in a trigonal planar geometry to three O atoms. There are a spread of C–O bond distances ranging from 1.27–1.32 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to two Li and one C atom. In the second O site, O is bonded in a distorted bent 120 degrees geometry to one Li and one C atom. In the third O site, O is bonded in a bent 120 degrees geometry to one Li and one C atom. In the fourth O site, O is bonded in a 1-coordinate geometry to two Li and one C atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the seventh O site, O is bonded in a trigonal planar geometry to two Li and one C atom. In the eighth O site, O is bonded to three Li and one C atom to form distorted edge-sharing OLi3C tetrahedra. In the ninth O site, O is bonded in a distorted T-shaped geometry to two Li and one C atom. In the tenth O site, O is bonded in a distorted T-shaped geometry to two Li and one C atom. In the eleventh O site, O is bonded to two Li, one Fe, and one C atom to form distorted edge-sharing OLi2FeC tetrahedra. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to two Li and one C atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Li and one C atom. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one C atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the eighteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to two Li and one C atom. In the twentieth O site, O is bonded in a 3-coordinate geometry to two Li and one C atom. In the twenty-first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one C atom. In the twenty-second O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one C atom. In the twenty-third O site, O is bonded in an L-shaped geometry to one Fe and one C atom. In the twenty-fourth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the twenty-fifth O site, O is bonded in an L-shaped geometry to one Fe and one C atom. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one C atom. In the twenty-seventh O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one C atom. In the twenty-eighth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one C atom. In the twenty-ninth O site, O is bonded in a distorted T-shaped geometry to two Li and one C atom. In the thirtieth O site, O is bonded in a distorted trigonal planar geometry to two Li and one C atom. In the thirty-first O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the thirty-second O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one C atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to two Li, one Fe, and one C atom. In the thirty-fo

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe2(P2O7)2 by Materials Project

Li3Fe2(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.89–1.96 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.71 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.82–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.13 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 FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with three PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one FeO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 1.94–2.22 Å. In the sixth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.34 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.23 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.46 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.84–2.00 Å. In the eleventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.82–2.10 Å. In the twelfth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.42 Å. There are eight inequivalent Fe+2.50+ sites. In the first Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.27 Å. In the second Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with five PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.07–2.22 Å. In the third Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. In the fourth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the fifth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra, 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 1.91–2.21 Å. In the sixth Fe+2.50+ site, Fe+2.50+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.22 Å. In the seventh Fe+2.50+ site, Fe+2.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 2.03–2.68 Å. In the eighth Fe+2.50+ site, Fe+2.50+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.07–2.27 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 35°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 19–56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–51°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two FeO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, corners with two FeO5 trigonal bipyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 47°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 32°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one FeO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 29–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 32–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, corners with two FeO5 trigonal bipyramids, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 56°.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3CoO8 by Materials Project

Li2CoTi3O8 is Spinel-derived structured and crystallizes in the monoclinic C2 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 three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Li–O bond lengths are 2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are one shorter (2.00 Å) and three longer (2.01 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are three shorter (2.01 Å) and one longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are three shorter (2.01 Å) and one longer (2.02 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. All Li–O bond lengths are 2.01 Å. There are nine inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.12 Å) and two longer (2.13 Å) Co–O bond lengths. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are two shorter (2.11 Å) and four longer (2.13 Å) Co–O bond lengths. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are four shorter (2.12 Å) and two longer (2.13 Å) Co–O bond lengths. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. All Co–O bond lengths are 2.12 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co2+ atom. The O–Li bond length is 2.01 Å. In the eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.92 Å. In the ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with eleven OLiTi3 trigonal pyramids and edges with two OLiTi2Co trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.98 Å. In the fourteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.99 Å. In the fifteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with twelve OLiTi2Co trigonal pyramids and edges with two OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. The O–Ti bond length is 1.99 Å. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Co2+ atom. The O–Ti bond length is 1.93 Å. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with eleven OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. Both O–Ti bond lengths are 2.04 Å. In the eighteenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Li bond length is 2.01 Å. The O–Ti bond length is 1.92 Å. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. There are one shorter (2.04 Å) and one longer (2.05 Å) O–Ti bond lengths. In the twentieth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with eleven OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids. The O–Li bond length is 2.01 Å. The O–Ti bond length is 1.94 Å. In the twenty-third O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with twelve OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. The O–Ti bond length is 1.98 Å. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with ten OLiTi3 trigonal pyramids and edges with three OLiTi2Co trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with ten OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form distorted OLiTi2Co trigonal pyramids that share corners with twelve OLiTi2Co trigonal pyramids and edges with three OLiTi3 trigonal pyramids. The O–Li bond length is 2.01 Å. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Co2+ atom to form a mixture of distorted edge and corner-sharing OLiTi2Co trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ca12Al14O33 by Materials Project

Ca12Al14O33 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to five O2- atoms to form distorted CaO5 trigonal bipyramids that share corners with six AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.13–2.51 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.56 Å. In the third Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.56 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.38–2.51 Å. In the fifth Ca2+ site, Ca2+ is bonded to five O2- atoms to form distorted CaO5 trigonal bipyramids that share corners with six AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. There are a spread of Ca–O bond distances ranging from 2.13–2.50 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.51 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.49 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.49 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. All Al–O bond lengths are 1.75 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. All Al–O bond lengths are 1.76 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. All Al–O bond lengths are 1.76 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with four AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. All Al–O bond lengths are 1.76 Å. In the seventh Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.75–1.80 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three AlO4 tetrahedra and a cornercorner with one CaO5 trigonal bipyramid. There are a spread of Al–O bond distances ranging from 1.74–1.80 Å. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with four OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with three OCa2Al2 trigonal pyramids. In the second O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with four OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with three OCa2Al2 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+ and two Al3+ atoms. In the fifth O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with four OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with two OCa2Al2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with four OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with three OCa2Al2 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with four OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with three OCa2Al2 trigonal pyramids. In the eighth O2- site, O2- is bonded to three Ca2+ and one Al3+ atom to form distorted OCa3Al tetrahedra that share corners with three OCa3Al tetrahedra, corners with eight OCa2Al2 trigonal pyramids, and edges with two OCa2Al2 trigonal pyramids. In the ninth O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with five OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with two OCa2Al2 trigonal pyramids. In the tenth O2- site, O2- is bonded to three Ca2+ and one Al3+ atom to form distorted OCa3Al tetrahedra that share corners with three OCa3Al tetrahedra, corners with seven OCa2Al2 trigonal pyramids, and edges with three OCa2Al2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with five OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with three OCa2Al2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with four OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with two OCa2Al2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with five OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with two OCa2Al2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Ca2+ and one Al3+ atom to form distorted OCa3Al tetrahedra that share corners with three OCa3Al tetrahedra, corners with eight OCa2Al2 trigonal pyramids, and edges with two OCa2Al2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Ca2+ and two Al3+ atoms to form distorted OCa2Al2 trigonal pyramids that share corners with three OCa3Al tetrahedra, corners with five OCa2Al2 trigonal pyramids, an edgeedge with one OCa3Al tetrahedra, and edges with three OCa2Al2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Ca2+ and one Al3+ atom to form distorted OCa3Al tetrahedra that share corners with three OCa3Al tetrahedra, corners with seven OCa2Al2 trigonal pyramids, and edges with three OCa2Al2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a linear geometry to two Ca2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5(AlSe4)2 by Materials Project

Mg5(AlSe4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five Se2- atoms to form distorted MgSe5 trigonal bipyramids that share a cornercorner with one AlSe4 tetrahedra, a cornercorner with one AlSe5 trigonal bipyramid, and an edgeedge with one AlSe4 tetrahedra. There are a spread of Mg–Se bond distances ranging from 2.57–3.06 Å. In the second Mg2+ site, Mg2+ is bonded in a 5-coordinate geometry to five Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.58–3.23 Å. In the third Mg2+ site, Mg2+ is bonded in a 4-coordinate geometry to five Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.56–3.37 Å. In the fourth Mg2+ site, Mg2+ is bonded to five Se2- atoms to form distorted MgSe5 square pyramids that share a cornercorner with one AlSe4 tetrahedra, corners with two equivalent MgSe5 trigonal bipyramids, an edgeedge with one MgSe4 tetrahedra, and edges with two AlSe5 trigonal bipyramids. There are a spread of Mg–Se bond distances ranging from 2.56–3.09 Å. In the fifth Mg2+ site, Mg2+ is bonded in a rectangular see-saw-like geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.60–2.87 Å. In the sixth Mg2+ site, Mg2+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.63–2.73 Å. In the seventh Mg2+ site, Mg2+ is bonded in a distorted square co-planar geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.56–2.83 Å. In the eighth Mg2+ site, Mg2+ is bonded to four Se2- atoms to form MgSe4 tetrahedra that share corners with two AlSe4 tetrahedra, a cornercorner with one MgSe5 trigonal bipyramid, corners with two AlSe5 trigonal bipyramids, a cornercorner with one MgSe4 trigonal pyramid, and an edgeedge with one MgSe5 square pyramid. There are a spread of Mg–Se bond distances ranging from 2.54–2.65 Å. In the ninth Mg2+ site, Mg2+ is bonded in a rectangular see-saw-like geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.53–2.74 Å. In the tenth Mg2+ site, Mg2+ is bonded to five Se2- atoms to form distorted MgSe5 trigonal bipyramids that share corners with four MgSe5 square pyramids, a cornercorner with one MgSe4 tetrahedra, a cornercorner with one AlSe4 tetrahedra, an edgeedge with one MgSe5 trigonal bipyramid, an edgeedge with one AlSe5 trigonal bipyramid, and a faceface with one AlSe5 trigonal bipyramid. There are a spread of Mg–Se bond distances ranging from 2.56–2.87 Å. In the eleventh Mg2+ site, Mg2+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.61–2.69 Å. In the twelfth Mg2+ site, Mg2+ is bonded to five Se2- atoms to form distorted MgSe5 trigonal bipyramids that share corners with two AlSe5 trigonal bipyramids, a cornercorner with one MgSe4 trigonal pyramid, an edgeedge with one MgSe5 square pyramid, and an edgeedge with one MgSe5 trigonal bipyramid. There are a spread of Mg–Se bond distances ranging from 2.57–2.91 Å. In the thirteenth Mg2+ site, Mg2+ is bonded to four Se2- atoms to form distorted MgSe4 trigonal pyramids that share a cornercorner with one MgSe4 tetrahedra, corners with two AlSe4 tetrahedra, a cornercorner with one MgSe4 trigonal pyramid, and an edgeedge with one AlSe5 trigonal bipyramid. There are a spread of Mg–Se bond distances ranging from 2.54–2.64 Å. In the fourteenth Mg2+ site, Mg2+ is bonded to five Se2- atoms to form distorted MgSe5 square pyramids that share a cornercorner with one AlSe4 tetrahedra, a cornercorner with one AlSe5 trigonal bipyramid, corners with two equivalent MgSe5 trigonal bipyramids, an edgeedge with one MgSe5 trigonal bipyramid, an edgeedge with one AlSe5 trigonal bipyramid, and an edgeedge with one MgSe4 trigonal pyramid. There are a spread of Mg–Se bond distances ranging from 2.61–3.26 Å. In the fifteenth Mg2+ site, Mg2+ is bonded in a see-saw-like geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.61–2.79 Å. In the sixteenth Mg2+ site, Mg2+ is bonded in a distorted see-saw-like geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.54–2.72 Å. In the seventeenth Mg2+ site, Mg2+ is bonded in a 4-coordinate geometry to four Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.61–3.00 Å. In the eighteenth Mg2+ site, Mg2+ is bonded to four Se2- atoms to form distorted MgSe4 trigonal pyramids that share a cornercorner with one AlSe4 tetrahedra, a cornercorner with one MgSe5 trigonal bipyramid, a cornercorner with one AlSe5 trigonal bipyramid, a cornercorner with one MgSe4 trigonal pyramid, and an edgeedge with one MgSe5 square pyramid. There are a spread of Mg–Se bond distances ranging from 2.55–2.70 Å. In the nineteenth Mg2+ site, Mg2+ is bonded in a distorted T-shaped geometry to three Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.55–3.09 Å. In the twentieth Mg2+ site, Mg2+ is bonded in a 3-coordinate geometry to three Se2- atoms. There are a spread of Mg–Se bond distances ranging from 2.50–2.79 Å. There are eight inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to five Se2- atoms to form AlSe5 trigonal bipyramids that share a cornercorner with one AlSe4 tetrahedra, a cornercorner with one MgSe5 trigonal bipyramid, edges with two MgSe5 square pyramids, and a faceface with one MgSe5 trigonal bipyramid. There are a spread of Al–Se bond distances ranging from 2.52–2.67 Å. In the second Al3+ site, Al3+ is bonded in a distorted see-saw-like geometry to four Se2- atoms. There are a spread of Al–Se bond distances ranging from 2.39–2.51 Å. In the third Al3+ site, Al3+ is bonded in a distorted see-saw-like geometry to four Se2- atoms. There are a spread of Al–Se bond distances ranging from 2.63–2.93 Å. In the fourth Al3+ site, Al3+ is bonded to four Se2- atoms to form AlSe4 tetrahedra that share a cornercorner with one MgSe5 square pyramid, a cornercorner with one MgSe4 tetrahedra, a cornercorner with one AlSe5 trigonal bipyramid, corners with two MgSe5 trigonal bipyramids, and a cornercorner with one MgSe4 trigonal pyramid. There are a spread of Al–Se bond distances ranging from 2.39–2.46 Å. In the fifth Al3+ site, Al3+ is bonded to five Se2- atoms to form distorted AlSe5 trigonal bipyramids that share a cornercorner with one MgSe4 tetrahedra, corners with two AlSe4 tetrahedra, a cornercorner with one MgSe5 trigonal bipyramid, a cornercorner with one MgSe4 trigonal pyramid, and an edgeedge with one MgSe4 trigonal pyramid. There are a spread of Al–Se bond distances ranging from 2.38–2.85 Å. In the sixth Al3+ site, Al3+ is bonded to five Se2- atoms to form AlSe5 trigonal bipyramids that share a cornercorner with one MgSe5 square pyramid, a cornercorner with one MgSe4 tetrahedra, a cornercorner with one AlSe4 tetrahedra, a cornercorner with one MgSe5 trigonal bipyramid, an edgeedge with one MgSe5 square pyramid, and an edgeedge with one MgSe5 trigonal bipyramid. There are a spread of Al–Se bond distances ranging from 2.43–2.66 Å. In the seventh Al3+ site, Al3+ is bonded to four Se2- atoms to form AlSe4 tetrahedra that share a cornercorner with one MgSe5 square pyramid, corners with two AlSe5 trigonal bipyramids, and a cornercorner with one MgSe4 trigonal pyramid. There are a spread of Al–Se bond distances ranging from 2.37–2.51 Å. In the eighth Al3+ site, Al3+ is bonded to four Se2- atoms to form distorted AlSe4 tetrahedra that share a cornercorner with one MgSe4 tetrahedra, a cornercorner with one AlSe5 trigonal bipyramid, a cornercorner with one MgSe4 trigonal pyramid, and an edgeedge with one MgSe5 trigonal bipyramid. There are a spread of Al–Se bond distances ranging from 2.38–2.46 Å. There are thirty-two inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a 2-coordinate geometry to two Mg2+, one Al3+, and one Se2- atom. The Se–Se bond length is 2.45 Å. In the second Se2- site, Se2- is bonded in a 4-coordinate geometry to two Mg2+ and two Al3+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mg2+ and one Al3+ atom. In the fourth Se2- site, Se2- is bonded in a distorted T-shaped geometry to two Mg2+ and one Al3+ atom. In the fifth Se2- site, Se2- is bonded in a 5-coordinate geometry to four Mg2+ and one Al3+ atom. In the sixth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one Al3+ atom. In the seventh Se2- site, Se2- is bonded to three Mg2+ and one Al3+ atom to form distorted SeMg3Al trigonal pyramids that share a cornercorner with one SeMg3Al tetrahedra and a cornercorner with one SeMg2Al2 trigonal pyramid. In the eighth Se2- site, Se2- is bonded in a distorted trigonal non-coplanar geometry to two Mg2+ and one Al3+ atom. In the ninth Se2- site, Se2- is bonded in a distorted T-shaped geometry to two Mg2+ and one Al3+ atom. In the tenth Se2- site, Se2- is bonded in a distorted L-shaped geometry to two Mg2+ atoms. In the eleventh Se2- site, Se2- is bonded in a 1-coordinate geometry to one Mg2+, one Al3+, and one Se2- atom. In the twelfth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mg2+ atoms. In the thirteenth Se2- site, Se2- is bonded to three Mg2+ and one Al3+ atom to form distorted corner-sharing SeMg3Al tetrahedra. In the fourteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Mg2+ and one Al3+ atom. In the fifteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to two Mg2+ and two Al3+ atoms. In the sixteenth Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the seventeenth Se2- site, Se2- is bonded in a 5-coordinate geometry to three Mg2+ and two Al3+ atoms. In the eighteenth Se2- site, Se2- is bonded in a distorted T-shaped geometry to two Mg2+ and one Al3+ atom. In the nineteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to three Mg2+ and one Al3+ atom. In the twentieth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Al3+ atom. In the twenty-first Se2- site, Se2- is bonded in a distorted see-saw-like geometry to three Mg2+ and one Al3+ atom. In the twenty-second Se2- site, Se2- is bonded in a distorted trigonal non-coplanar geometry to two Mg2+ and one Al3+ atom. In the twenty-third Se2- site, Se2- is bonded in a 4-coordinate geometry to three Mg2+ and one Al3+ atom. In the twenty-fourth Se2- site, Se2- is bonded in a 3-coordinate geometry to two Mg2+ and one Al3+ atom. In the twenty-fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Al3+ atom. In the twenty-sixth Se2- site, Se2- is bonded in a 2-coordinate geometry to three Mg2+ and one Al3+ atom. In the twenty-seventh Se2- site, Se2- is bonded in a rectangular see-saw-like geometry to four Mg2+ atoms. In the twenty-eighth Se2- site, Se2- is bonded in a distorted T-shaped geometry to two Mg2+ and one Al3+ atom. In the twenty-ninth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one Al3+ atom. In the thirtieth Se2- site, Se2- is bonded in a distorted see-saw-like geometry to three Mg2+ and one Al3+ atom. In the thirty-first Se2- site, Se2- is bonded to two Mg2+ and two Al3+ atoms to form distorted corner-sharing SeMg2Al2 trigonal pyramids. In the thirty-second Se2- site, Se2- is bonded in a 4-coordinate geometry to three Mg2+ and two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zn3In2O6 by Materials Project

Zn3In2O6 is Aluminum carbonitride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with two ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, and edges with two InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.93–2.45 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with six ZnO4 tetrahedra, and corners with two InO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 62–63°. There are a spread of Zn–O bond distances ranging from 2.00–2.07 Å. In the third Zn2+ site, Zn2+ is bonded to five O2- atoms to form ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with two ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, an edgeedge with one ZnO5 tetrahedra, and an edgeedge with one InO5 trigonal bipyramid. There are a spread of Zn–O bond distances ranging from 1.93–2.38 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and a cornercorner with one InO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Zn–O bond distances ranging from 2.00–2.06 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Zn–O bond distances ranging from 2.01–2.05 Å. In the sixth Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 tetrahedra that share corners with three ZnO4 tetrahedra, corners with four InO5 trigonal bipyramids, an edgeedge with one InO5 trigonal bipyramid, and edges with two ZnO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.94–2.64 Å. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and a cornercorner with one InO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 61–63°. There are a spread of Zn–O bond distances ranging from 1.99–2.07 Å. In the eighth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 60–63°. There are a spread of Zn–O bond distances ranging from 1.99–2.03 Å. In the ninth Zn2+ site, Zn2+ is bonded to five O2- atoms to form distorted ZnO5 trigonal bipyramids that share a cornercorner with one InO4 tetrahedra, corners with two ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, corners with four ZnO5 trigonal bipyramids, an edgeedge with one ZnO5 tetrahedra, and edges with two InO5 trigonal bipyramids. There are a spread of Zn–O bond distances ranging from 1.92–2.47 Å. In the tenth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with seven ZnO4 tetrahedra, and corners with two InO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 62°. There are a spread of Zn–O bond distances ranging from 2.00–2.08 Å. In the eleventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three InO6 octahedra, corners with two equivalent InO4 tetrahedra, corners with four ZnO4 tetrahedra, a cornercorner with one InO5 trigonal bipyramid, and corners with two ZnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 61–62°. There are a spread of Zn–O bond distances ranging from 2.01–2.04 Å. In the twelfth Zn2+ site, Zn2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Zn–O bond distances ranging from 1.94–2.06 Å. There are eight inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.22–2.26 Å. In the second In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.22–2.26 Å. In the third In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with three ZnO4 tetrahedra, corners with six ZnO5 trigonal bipyramids, an edgeedge with one ZnO5 tetrahedra, and an edgeedge with one InO5 trigonal bipyramid. There are a spread of In–O bond distances ranging from 2.04–2.32 Å. In the fourth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share corners with six ZnO4 tetrahedra and edges with six InO6 octahedra. There are three shorter (2.23 Å) and three longer (2.24 Å) In–O bond lengths. In the fifth In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with five ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, an edgeedge with one InO5 trigonal bipyramid, and edges with two ZnO5 trigonal bipyramids. There are a spread of In–O bond distances ranging from 2.06–2.33 Å. In the sixth In3+ site, In3+ is bonded to six O2- atoms to form InO6 octahedra that share a cornercorner with one InO4 tetrahedra, corners with five ZnO4 tetrahedra, and edges with six InO6 octahedra. There are a spread of In–O bond distances ranging from 2.22–2.26 Å. In the seventh In3+ site, In3+ is bonded to four O2- atoms to form distorted InO4 tetrahedra that share corners with three InO6 octahedra, corners with six ZnO4 tetrahedra, and corners with three ZnO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of In–O bond distances ranging from 2.08–2.12 Å. In the eighth In3+ site, In3+ is bonded to five O2- atoms to form InO5 trigonal bipyramids that share corners with five ZnO4 tetrahedra, corners with two equivalent InO5 trigonal bipyramids, and edges with three ZnO5 trigonal bipyramids. There are a spread of In–O bond distances ranging from 2.04–2.45 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZnIn3 tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the second O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 trigonal pyramids that share corners with eight OZn3In tetrahedra, corners with two equivalent OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the third O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZn3In tetrahedra and edges with three OZnIn3 tetrahedra. In the fourth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the fifth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form distorted OZn3In tetrahedra that share corners with six OZn3In tetrahedra and corners with four OZn2In2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the seventh O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the eighth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Zn2+ and one In3+ atom. In the tenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 tetrahedra that share corners with six OZn3In tetrahedra, corners with four OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zn2+ atoms to form OZn4 tetrahedra that share corners with eleven OZn3In tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the twelfth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form distorted OZnIn3 tetrahedra that share corners with twelve OZn3In tetrahedra and edges with three OZnIn3 tetrahedra. In the fourteenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZnIn3 tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 tetrahedra that share corners with four OZn3In tetrahedra, an edgeedge with one OZn2In2 tetrahedra, and edges with two OZn2In2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Zn2+ and two In3+ atoms to form distorted OZn2In2 trigonal pyramids that share corners with eight OZn3In tetrahedra, corners with two equivalent OZn2In2 trigonal pyramids, and an edgeedge with one OZn2In2 tetrahedra. In the seventeenth O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form corner-sharing OZn3In tetrahedra. In the eighteenth O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the nineteenth O2- site, O2- is bonded to four In3+ atoms to form a mixture of distorted edge and corner-sharing OIn4 tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to three Zn2+ and one In3+ atom. In the twenty-first O2- site, O2- is bonded to three Zn2+ and one In3+ atom to form OZn3In tetrahedra that share corners with ten OZn3In tetrahedra and corners with two OZn2In2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Zn2+ and three In3+ atoms to form a mixture of distorted edge and corner-sharing OZnIn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zn2+ and one In3+ atom. In the twenty-fourth O2- site, O2- is bonded to four Zn2+ atoms to form OZn4 tetrahedra that share corners with eleven OZn3In tetrahedra and a cornercorner with one OZn2In2 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Ca10Al6Si13N30 by Materials Project

Ca10Al6Si13N30 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.42–2.60 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six N3- atoms. There are a spread of Ca–N bond distances ranging from 2.51–2.73 Å. In the third Ca2+ site, Ca2+ is bonded in a 7-coordinate geometry to seven N3- atoms. There are a spread of Ca–N bond distances ranging from 2.42–2.92 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.38–2.66 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.33–2.70 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.43–2.64 Å. In the seventh Ca2+ site, Ca2+ is bonded in a 1-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.20–2.52 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.46–2.59 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.51–2.58 Å. In the tenth Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five N3- atoms. There are a spread of Ca–N bond distances ranging from 2.33–2.66 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There is three shorter (1.88 Å) and one longer (1.90 Å) Al–N bond length. In the second Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.93 Å. In the third Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.87–1.91 Å. In the fourth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.86–1.91 Å. In the fifth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with seven SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.79–1.93 Å. In the sixth Al3+ site, Al3+ is bonded to four N3- atoms to form AlN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Al–N bond distances ranging from 1.85–1.91 Å. There are thirteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.67–1.80 Å. In the second Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.65–1.92 Å. In the third Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN4 tetrahedra and corners with four AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.74–1.77 Å. In the fourth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.76–1.80 Å. In the fifth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SiN4 tetrahedra and corners with five AlN4 tetrahedra. There is two shorter (1.74 Å) and two longer (1.80 Å) Si–N bond length. In the sixth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.75–1.80 Å. In the seventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three SiN4 tetrahedra and corners with four AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.72–1.78 Å. In the eighth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.85 Å. In the ninth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share a cornercorner with one AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.66–1.89 Å. In the tenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent SiN4 tetrahedra and corners with five AlN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.79 Å. In the eleventh Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with two equivalent AlN4 tetrahedra and corners with five SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.82 Å. In the twelfth Si4+ site, Si4+ is bonded to four N3- atoms to form corner-sharing SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.69–1.85 Å. In the thirteenth Si4+ site, Si4+ is bonded to four N3- atoms to form SiN4 tetrahedra that share corners with three AlN4 tetrahedra and corners with four SiN4 tetrahedra. There are a spread of Si–N bond distances ranging from 1.73–1.82 Å. There are thirty inequivalent N3- sites. In the first N3- site, N3- is bonded in a 3-coordinate geometry to two Ca2+ and three Si4+ atoms. In the second N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid and corners with seven NCaAlSi2 trigonal pyramids. In the third N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted corner-sharing NCaAlSi2 trigonal pyramids. In the fourth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form NCaAl2Si trigonal pyramids that share corners with three NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the fifth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share corners with two equivalent NCa3AlSi trigonal bipyramids and corners with five NCaAl2Si trigonal pyramids. In the sixth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share corners with two equivalent NCaAlSi2 tetrahedra and corners with five NCaSi3 trigonal pyramids. In the seventh N3- site, N3- is bonded in a 2-coordinate geometry to two Ca2+ and two Si4+ atoms. In the eighth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form NCaAl2Si trigonal pyramids that share corners with three NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the ninth N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share corners with two equivalent NCa3Al2 trigonal bipyramids and corners with seven NCaAl2Si trigonal pyramids. In the tenth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid and corners with four NCaAlSi2 trigonal pyramids. In the eleventh N3- site, N3- is bonded in a 2-coordinate geometry to two Ca2+, one Al3+, and one Si4+ atom. In the twelfth N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the thirteenth N3- site, N3- is bonded in a 2-coordinate geometry to four Ca2+ and two Si4+ atoms. In the fourteenth N3- site, N3- is bonded to three Ca2+ and two Al3+ atoms to form distorted NCa3Al2 trigonal bipyramids that share corners with two equivalent NCa3Al2 trigonal bipyramids, corners with eight NCaAl2Si trigonal pyramids, and edges with two NCaAl2Si trigonal pyramids. In the fifteenth N3- site, N3- is bonded to three Ca2+, one Al3+, and one Si4+ atom to form distorted NCa3AlSi trigonal bipyramids that share corners with two equivalent NCa3AlSi trigonal bipyramids, corners with eight NCaAl2Si trigonal pyramids, and edges with two NCaAlSi2 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to one Ca2+ and three Si4+ atoms to form distorted corner-sharing NCaSi3 trigonal pyramids. In the seventeenth N3- site, N3- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Si4+ atoms. In the eighteenth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the nineteenth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form distorted NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3Al2 trigonal bipyramid. In the twentieth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCaAlSi2 tetrahedra and corners with six NCaAl2Si trigonal pyramids. In the twenty-first N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form NCaAlSi2 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the twenty-second N3- site, N3- is bonded in a trigonal planar geometry to one Al3+ and two Si4+ atoms. In the twenty-third N3- site, N3- is bonded to one Ca2+, two Al3+, and one Si4+ atom to form distorted NCaAl2Si trigonal pyramids that share a cornercorner with one NCa3Al2 trigonal bipyramid, corners with seven NCaAl2Si trigonal pyramids, and an edgeedge with one NCa3Al2 trigonal bipyramid. In the twenty-fourth N3- site, N3- is bonded to one Ca2+, one Al3+, and two Si4+ atoms to form corner-sharing NCaAlSi2 tetrahedra. In the twenty-fifth N3- site, N3- is bonded to one Ca2+ and three Si4+ atoms to form NCaSi3 trigonal pyramids that share a cornercorner with one NCa3AlSi trigonal bipyramid, corners with five NCaAlSi2 trigonal pyramids, and an edgeedge with one NCa3AlSi trigonal bipyramid. In the twenty-sixth N3- site, N3- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-seventh N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+ and two Si4+ atoms. In the twenty-eighth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+ and two Si4+ atoms. In the twenty-ninth N3- site, N3- is bonded in a 2-coordinate geometry to three Ca2+, one Al3+, and one Si4+ atom. In the thirtieth N3- site, N3- is bonded in a 5-coordinate geometry to three Ca2+ and two Si4+ atoms.

36 MATERIALS SCIENCE↗