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Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.10 Å. There are ten inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.16 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.13 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.23 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.99–2.05 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.21 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.20 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.14 Å. There are ten inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.41 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on SrCa2Yb10O18 by Materials Project

SrCa2Yb10O18 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.58–3.16 Å. In the second Sr2+ site, Sr2+ is bonded in a 6-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–3.06 Å. There are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.60 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.60 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.43–2.61 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.40–2.59 Å. There are twenty inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.79 Å. In the second Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.78 Å. In the third Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.74 Å. In the fourth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.26–2.81 Å. In the fifth Yb3+ site, Yb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Yb–O bond distances ranging from 2.26–2.44 Å. In the sixth Yb3+ site, Yb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Yb–O bond distances ranging from 2.27–2.82 Å. In the seventh Yb3+ site, Yb3+ is bonded to six O2- atoms to form edge-sharing YbO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.24–2.39 Å. In the eighth Yb3+ site, Yb3+ is bonded to six O2- atoms to form edge-sharing YbO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.25–2.40 Å. In the ninth Yb3+ site, Yb3+ is bonded to six O2- atoms to form edge-sharing YbO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.25–2.40 Å. In the tenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form edge-sharing YbO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.24–2.41 Å. In the eleventh Yb3+ site, Yb3+ is bonded to six O2- atoms to form edge-sharing YbO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.24–2.40 Å. In the twelfth Yb3+ site, Yb3+ is bonded to six O2- atoms to form edge-sharing YbO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.23–2.42 Å. In the thirteenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing YbO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Yb–O bond distances ranging from 2.24–2.39 Å. In the fourteenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing YbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Yb–O bond distances ranging from 2.23–2.41 Å. In the fifteenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing YbO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Yb–O bond distances ranging from 2.24–2.40 Å. In the sixteenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing YbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Yb–O bond distances ranging from 2.24–2.39 Å. In the seventeenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing YbO6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Yb–O bond distances ranging from 2.23–2.43 Å. In the eighteenth Yb3+ site, Yb3+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing YbO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Yb–O bond distances ranging from 2.23–2.42 Å. In the nineteenth Yb3+ site, Yb3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.38–2.54 Å. In the twentieth Yb3+ site, Yb3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.38–2.53 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Ca2+ and three Yb3+ atoms to form OCaYb3 trigonal pyramids that share a cornercorner with one OCa2Yb3 square pyramid, corners with two equivalent OYb5 trigonal bipyramids, corners with six OCaYb3 trigonal pyramids, edges with two equivalent OCa2Yb3 square pyramids, and edges with three OCa2Yb3 trigonal bipyramids. In the second O2- site, O2- is bonded to one Ca2+ and three Yb3+ atoms to form distorted OCaYb3 trigonal pyramids that share corners with two equivalent OCa2Yb4 octahedra, a cornercorner with one OYb5 square pyramid, corners with two equivalent OYb5 trigonal bipyramids, corners with six OCaYb3 trigonal pyramids, edges with two equivalent OCa2Yb3 square pyramids, and edges with three OCa2Yb3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 46–50°. In the third O2- site, O2- is bonded to one Ca2+ and three Yb3+ atoms to form distorted OCaYb3 trigonal pyramids that share a cornercorner with one OYb5 square pyramid, corners with two equivalent OCa2Yb3 trigonal bipyramids, corners with six OCaYb3 trigonal pyramids, edges with two equivalent OCa2Yb3 square pyramids, and an edgeedge with one OCa2Yb3 trigonal bipyramid. In the fourth O2- site, O2- is bonded to four Yb3+ atoms to form distorted OYb4 trigonal pyramids that share corners with two equivalent OYb6 octahedra, a cornercorner with one OCa2Yb3 square pyramid, corners with seven OSrYb4 trigonal pyramids, edges with two equivalent OYb5 square pyramids, and edges with two equivalent OYb5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–51°. In the fifth O2- site, O2- is bonded to one Ca2+ and three Yb3+ atoms to form distorted OCaYb3 trigonal pyramids that share corners with two equivalent OCa2Yb4 octahedra, a cornercorner with one OCa2Yb3 square pyramid, corners with two equivalent OCa2Yb3 trigonal bipyramids, corners with six OCaYb3 trigonal pyramids, edges with two equivalent OCa2Yb3 square pyramids, and edges with three OCa2Yb3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–50°. In the sixth O2- site, O2- is bonded to four Yb3+ atoms to form distorted OYb4 trigonal pyramids that share corners with two equivalent OYb6 octahedra, a cornercorner with one OCa2Yb3 square pyramid, corners with two equivalent OCa2Yb3 trigonal bipyramids, corners with seven OSrYb4 trigonal pyramids, edges with two equivalent OYb5 square pyramids, and edges with three OCa2Yb3 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 47–51°. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+ and three Yb3+ atoms. In the eighth O2- site, O2- is bonded to two equivalent Sr2+ and three Yb3+ atoms to form distorted OSr2Yb3 trigonal bipyramids that share a cornercorner with one OYb6 octahedra, corners with two equivalent OCa2Yb3 square pyramids, corners with four OSr2Yb3 trigonal bipyramids, corners with two equivalent OSrYb4 trigonal pyramids, an edgeedge with one OCa2Yb3 square pyramid, edges with three OSr2Yb3 trigonal bipyramids, and edges with two equivalent OSrYb4 trigonal pyramids. The corner-sharing octahedral tilt angles are 2°. In the ninth O2- site, O2- is bonded to two equivalent Sr2+ and three Yb3+ atoms to form distorted OSr2Yb3 trigonal bipyramids that share a cornercorner with one OCa2Yb4 octahedra, corners with two equivalent OYb5 square pyramids, corners with four OSr2Yb3 trigonal bipyramids, corners with two equivalent OSrYb4 trigonal pyramids, edges with two equivalent OCa2Yb4 octahedra, an edgeedge with one OYb5 square pyramid, edges with three OSr2Yb3 trigonal bipyramids, and edges with two equivalent OSrYb4 trigonal pyramids. The corner-sharing octahedral tilt angles are 3°. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+ and three Yb3+ atoms. In the eleventh O2- site, O2- is bonded to two equivalent Sr2+ and three Yb3+ atoms to form distorted OSr2Yb3 trigonal bipyramids that share corners with two equivalent OCa2Yb3 square pyramids, corners with two equivalent OYb5 trigonal bipyramids, edges with two equivalent OYb6 octahedra, an edgeedge with one OCa2Yb3 square pyramid, and edges with two equivalent OSr2Yb3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Sr2+ and three Yb3+ atoms. In the thirteenth O2- site, O2- is bonded to five Yb3+ atoms to form distorted OYb5 trigonal bipyramids that share corners with two equivalent OYb6 octahedra, corners with two equivalent OYb5 square pyramids, corners with four OSrYb4 trigonal pyramids, edges with three OYb5 square pyramids, edges with two equivalent OYb5 trigonal bipyramids, edges with three OCaYb3 trigonal pyramids, and a faceface with one OYb6 octahedra. The corner-sharing octahedral tilt angles are 60°. In the fourteenth O2- site, O2- is bonded to five Yb3+ atoms to form distorted OYb5 trigonal bipyramids that share corners with two equivalent OYb6 octahedra, corners with two equivalent OYb5 square pyramids, corners with two equivalent OSr2Yb3 trigonal bipyramids, corners with four OSrYb4 trigonal pyramids, edges with three OYb5 square pyramids, edges with two equivalent OYb5 trigonal bipyramids, edges with three OCaYb3 trigonal pyramids, and a faceface with one OYb6 octahedra. The corner-sharing octahedral tilt angles are 60°. In the fifteenth O2- site, O2- is bonded to two equivalent Ca2+ and three Yb3+ atoms to form distorted OCa2Yb3 trigonal bipyramids that share corners with two equivalent OCa2Yb4 octahedra, corners with two equivalent OCa2Yb3 square pyramids, corners with two equivalent OCaYb3 trigonal pyramids, edges with three OCa2Yb3 square pyramids, edges with two equivalent OCa2Yb3 trigonal bipyramids, edges with three OCaYb3 trigonal pyramids, and a faceface with one OCa2Yb4 octahedra. The corner-sharing octahedral tilt angles are 58°. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ca2+ and three Yb3+ atoms. In the seventeenth O2- site, O2- is bonded to two equivalent Ca2+ and three Yb3+ atoms to form distorted OCa2Yb3 trigonal bipyramids that share corners with two equivalent OCa2Yb3 square pyramids, corners with two equivalent OSr2Yb3 trigonal bipyramids, corners with two equivalent OCaYb3 trigonal pyramids, edges with three OCa2Yb3 square pyramids, edges with two equivalent OCa2Yb3 trigonal bipyramids, and edges with three OCaYb3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two equivalent Ca2+ and three Yb3+ atoms to form distorted OCa2Yb3 trigonal bipyramids that share corners with two equivalent OCa2Yb4 octahedra, corners with two equivalent OCa2Yb3 square pyramids, corners with two equivalent OSr2Yb3 trigonal bipyramids, corners with three OSrYb4 trigonal pyramids, edges with three OYb5 square pyramids, edges with two equivalent OCa2Yb3 trigonal bipyramids, edges with three OCaYb3 trigonal pyramids, and a faceface with one OCa2Yb4 octahedra. The cor

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe8(BO3)8 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Gd3Y13O24 by Materials Project

Gd3Y13O24 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.39 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with six YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. There are thirteen inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with six YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are two shorter (2.30 Å) and four longer (2.31 Å) Y–O bond lengths. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four 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 2.27–2.36 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 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 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 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 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 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 2.27–2.36 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 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 2.27–2.36 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five 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 eighth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four 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 2.27–2.36 Å. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are three shorter (2.30 Å) and three longer (2.31 Å) Y–O bond lengths. In the eleventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with six YO6 octahedra, edges with two GdO6 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 2.27–2.35 Å. In the twelfth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 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 2.27–2.36 Å. In the thirteenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, an edgeedge with one GdO6 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 OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the second O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OY4 trigonal pyramids. In the third O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted corner and edge-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OGdY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four 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 one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted corner and edge-sharing OGdY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 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 two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Y3+ atoms to form distorted OY4 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OY4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted corner and edge-sharing OGd2Y2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3NiO8 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids. 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 distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.14 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.04 Å. In the sixth 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 1.90–2.29 Å. There are twelve inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.03–2.33 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 corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.27 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 corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.21 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 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 three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.23 Å. In the seventh 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, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.99–2.03 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.01–2.58 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.10 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the eleventh 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, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.38 Å. In the twelfth 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, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.10 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 (1.35 Å) and two longer (1.42 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 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 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.34 Å) and two longer (1.41 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 1.34–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.44 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. There are thirty-six inequivalent O2- sites. In the first 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 second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third 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 twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-sixth 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 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 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.14 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 (1.97 Å) and one longer (2.01 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 28–54°. The Ti–N bond length is 2.04 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.21 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 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.18 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 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 1.90–2.09 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 two shorter (1.95 Å) and two longer (2.18 Å) Ti–O bond lengths. In the seventh 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 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.20 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 26–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 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 26–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the tenth 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 1.92–2.17 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 28–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the twelfth 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 (1.96 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 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 26–49°. The Ti–N bond length is 1.89 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.20 Å. In the fourteenth 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 2.12 Å. There are a spread of Ti–O bond distances ranging from 1.91–2.08 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 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 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 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 1.93–2.18 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 2.00 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.14 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 OTi4 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the third N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fourth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, a cornercorner with one OTi4 trigonal pyramid, and edges with four OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, 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 distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. 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, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped 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, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a 3-coordinate 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 distorted OTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the thirteenth 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 NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fourteenth 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 NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventeenth 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, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the nineteenth 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, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-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 three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two 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 corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. 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 ZnCoO2 by Materials Project

CoZnO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to four O2- atoms to form distorted CoO4 trigonal pyramids that share corners with four CoO5 trigonal bipyramids, corners with two equivalent CoO4 trigonal pyramids, and corners with four ZnO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.95–2.08 Å. In the second Co2+ site, Co2+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share a cornercorner with one ZnO4 trigonal pyramid, corners with four CoO4 trigonal pyramids, edges with two equivalent CoO5 trigonal bipyramids, and an edgeedge with one ZnO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 2.06–2.16 Å. In the third Co2+ site, Co2+ is bonded to five O2- atoms to form CoO5 trigonal bipyramids that share a cornercorner with one ZnO4 trigonal pyramid, corners with four CoO4 trigonal pyramids, edges with two equivalent CoO5 trigonal bipyramids, and an edgeedge with one ZnO4 trigonal pyramid. There are a spread of Co–O bond distances ranging from 2.06–2.16 Å. In the fourth Co2+ site, Co2+ is bonded to four O2- atoms to form distorted CoO4 trigonal pyramids that share corners with four CoO5 trigonal bipyramids, corners with two equivalent CoO4 trigonal pyramids, and corners with four ZnO4 trigonal pyramids. There are a spread of Co–O bond distances ranging from 1.95–2.09 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 trigonal pyramids that share a cornercorner with one CoO5 trigonal bipyramid, corners with two equivalent ZnO4 trigonal pyramids, corners with four CoO4 trigonal pyramids, and an edgeedge with one CoO5 trigonal bipyramid. There are a spread of Zn–O bond distances ranging from 1.98–2.04 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form distorted ZnO4 trigonal pyramids that share a cornercorner with one CoO5 trigonal bipyramid, corners with two equivalent ZnO4 trigonal pyramids, corners with four CoO4 trigonal pyramids, and an edgeedge with one CoO5 trigonal bipyramid. There are a spread of Zn–O bond distances ranging from 1.99–2.04 Å. In the third Zn2+ site, Zn2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Zn–O bond distances ranging from 1.88–2.18 Å. In the fourth Zn2+ site, Zn2+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Zn–O bond distances ranging from 1.88–2.20 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Co2+ and one Zn2+ atom to form distorted OZnCo3 tetrahedra that share corners with two equivalent OZnCo3 tetrahedra, corners with four OZn2Co3 trigonal bipyramids, corners with five OZn3Co trigonal pyramids, and an edgeedge with one OZn2Co2 trigonal pyramid. In the second O2- site, O2- is bonded to three Co2+ and two equivalent Zn2+ atoms to form distorted OZn2Co3 trigonal bipyramids that share corners with four OZnCo3 tetrahedra, corners with five OZn3Co trigonal pyramids, edges with two equivalent OZn2Co3 trigonal bipyramids, and edges with two OZn3Co trigonal pyramids. In the third O2- site, O2- is bonded to three Co2+ and two equivalent Zn2+ atoms to form distorted OZn2Co3 trigonal bipyramids that share corners with four OZnCo3 tetrahedra, corners with five OZn2Co2 trigonal pyramids, edges with two equivalent OZn2Co3 trigonal bipyramids, and edges with two OZn2Co2 trigonal pyramids. In the fourth O2- site, O2- is bonded to three Co2+ and one Zn2+ atom to form distorted OZnCo3 tetrahedra that share corners with two equivalent OZnCo3 tetrahedra, corners with four OZn2Co3 trigonal bipyramids, corners with five OZn3Co trigonal pyramids, and an edgeedge with one OZn2Co2 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Co2+ and three Zn2+ atoms to form distorted OZn3Co trigonal pyramids that share corners with four OZnCo3 tetrahedra, a cornercorner with one OZn2Co3 trigonal bipyramid, corners with five OZn3Co trigonal pyramids, and an edgeedge with one OZn2Co3 trigonal bipyramid. In the sixth O2- site, O2- is bonded to two equivalent Co2+ and two Zn2+ atoms to form distorted OZn2Co2 trigonal pyramids that share a cornercorner with one OZnCo3 tetrahedra, corners with four OZn2Co3 trigonal bipyramids, corners with five OZn3Co trigonal pyramids, an edgeedge with one OZnCo3 tetrahedra, and an edgeedge with one OZn2Co3 trigonal bipyramid. In the seventh O2- site, O2- is bonded to one Co2+ and three Zn2+ atoms to form distorted OZn3Co trigonal pyramids that share corners with four OZnCo3 tetrahedra, a cornercorner with one OZn2Co3 trigonal bipyramid, corners with five OZn2Co2 trigonal pyramids, and an edgeedge with one OZn2Co3 trigonal bipyramid. In the eighth O2- site, O2- is bonded to two equivalent Co2+ and two Zn2+ atoms to form distorted OZn2Co2 trigonal pyramids that share a cornercorner with one OZnCo3 tetrahedra, corners with four OZn2Co3 trigonal bipyramids, corners with five OZn3Co trigonal pyramids, an edgeedge with one OZnCo3 tetrahedra, and an edgeedge with one OZn2Co3 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti3FeO8 by Materials Project

Li2Ti3FeO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.15–2.17 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are one shorter (2.01 Å) and three longer (2.03 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.18 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 2.00–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.14–2.18 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.08 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.08 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, edges with two LiO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are three shorter (2.02 Å) and one longer (2.03 Å) Fe–O bond lengths. In the second Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the third Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are three shorter (2.02 Å) and one longer (2.03 Å) Fe–O bond lengths. In the fourth Fe2+ site, Fe2+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OLiTi2Fe trigonal pyramids. In the sixth O2- site, O2- is bonded to three Ti4+ and one Fe2+ atom to form distorted OTi3Fe trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OLiTi2Fe trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OTi3Fe trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with twelve OLi2Ti2 trigonal pyramids and edges with three OTi3Fe trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Fe trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with twelve OTi3Fe trigonal pyramids and edges with three OLiTi2Fe trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Ti4+ and one Fe2+ atom to form a mixture of distorted corner and edge-sharing OTi3Fe trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Fe2+ atom to form distorted OLiTi2Fe trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OTi3Fe trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLiTi3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OTi3Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with twelve OTi3Fe trigonal pyramids and edges with three OLi2Ti2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 trigonal pyramids that share corners with twelve OLiTi2Fe 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 Fe2+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Fe trigonal pyramids. In the twenty-second O2- site, O2- is bonded to three Ti4+ and one Fe2+ atom to form a mixture of distorted corner and edge-sharing OTi3Fe trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one L

36 MATERIALS SCIENCE↗

Materials Data on Na6Cd7S10 by Materials Project

Na6Cd7S10 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with six CdS4 tetrahedra, corners with two equivalent NaS5 trigonal bipyramids, a cornercorner with one CdS4 trigonal pyramid, edges with four NaS6 octahedra, edges with four CdS4 tetrahedra, and edges with two equivalent NaS5 trigonal bipyramids. There are a spread of Na–S bond distances ranging from 2.89–3.26 Å. In the second Na1+ site, Na1+ is bonded to six S2- atoms to form NaS6 octahedra that share corners with four CdS4 tetrahedra, corners with two equivalent NaS5 trigonal bipyramids, a cornercorner with one CdS4 trigonal pyramid, edges with four NaS6 octahedra, edges with two equivalent NaS5 square pyramids, and edges with six CdS4 tetrahedra. There are a spread of Na–S bond distances ranging from 2.80–3.16 Å. In the third Na1+ site, Na1+ is bonded to five S2- atoms to form distorted NaS5 trigonal bipyramids that share corners with five CdS4 tetrahedra, corners with three NaS5 trigonal bipyramids, edges with two equivalent NaS6 octahedra, edges with two equivalent CdS4 tetrahedra, edges with three NaS5 trigonal bipyramids, and edges with two equivalent CdS4 trigonal pyramids. There are a spread of Na–S bond distances ranging from 2.75–3.05 Å. In the fourth Na1+ site, Na1+ is bonded to five S2- atoms to form NaS5 square pyramids that share corners with five CdS4 tetrahedra, corners with three NaS5 trigonal bipyramids, edges with two equivalent NaS6 octahedra, edges with two equivalent NaS5 square pyramids, edges with three CdS4 tetrahedra, an edgeedge with one NaS5 trigonal bipyramid, and edges with two equivalent CdS4 trigonal pyramids. There are a spread of Na–S bond distances ranging from 2.78–2.91 Å. In the fifth Na1+ site, Na1+ is bonded to five S2- atoms to form NaS5 trigonal bipyramids that share corners with two equivalent NaS6 octahedra, a cornercorner with one NaS5 square pyramid, corners with three CdS4 tetrahedra, corners with four NaS5 trigonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, edges with three CdS4 tetrahedra, edges with two NaS5 trigonal bipyramids, and edges with two equivalent CdS4 trigonal pyramids. The corner-sharing octahedral tilt angles are 48°. There are a spread of Na–S bond distances ranging from 2.81–3.26 Å. In the sixth Na1+ site, Na1+ is bonded to five S2- atoms to form distorted NaS5 trigonal bipyramids that share corners with two equivalent NaS6 octahedra, corners with two equivalent NaS5 square pyramids, corners with three CdS4 tetrahedra, corners with three NaS5 trigonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, an edgeedge with one NaS5 square pyramid, edges with three CdS4 tetrahedra, an edgeedge with one NaS5 trigonal bipyramid, and edges with two equivalent CdS4 trigonal pyramids. The corner-sharing octahedral tilt angles are 45°. There are a spread of Na–S bond distances ranging from 2.73–3.34 Å. There are seven inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with two equivalent NaS6 octahedra, corners with two equivalent NaS5 square pyramids, corners with four CdS4 tetrahedra, corners with two equivalent NaS5 trigonal bipyramids, corners with two CdS4 trigonal pyramids, an edgeedge with one NaS6 octahedra, an edgeedge with one CdS4 tetrahedra, and edges with four NaS5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 28°. There are a spread of Cd–S bond distances ranging from 2.59–2.62 Å. In the second Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with two equivalent NaS6 octahedra, corners with four CdS4 tetrahedra, corners with four NaS5 trigonal bipyramids, corners with two CdS4 trigonal pyramids, an edgeedge with one NaS6 octahedra, edges with two equivalent NaS5 square pyramids, an edgeedge with one CdS4 tetrahedra, and edges with two equivalent NaS5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 25°. There are a spread of Cd–S bond distances ranging from 2.57–2.64 Å. In the third Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with two equivalent NaS6 octahedra, a cornercorner with one NaS5 square pyramid, corners with four CdS4 tetrahedra, a cornercorner with one NaS5 trigonal bipyramid, corners with two equivalent CdS4 trigonal pyramids, edges with three NaS6 octahedra, and an edgeedge with one NaS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 10°. There are a spread of Cd–S bond distances ranging from 2.53–2.65 Å. In the fourth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with two equivalent NaS6 octahedra, corners with six CdS4 tetrahedra, corners with two NaS5 trigonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, edges with three NaS6 octahedra, and an edgeedge with one NaS5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 19°. There are three shorter (2.59 Å) and one longer (2.61 Å) Cd–S bond lengths. In the fifth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 tetrahedra that share corners with two equivalent NaS6 octahedra, corners with two equivalent NaS5 square pyramids, corners with four CdS4 tetrahedra, corners with two equivalent NaS5 trigonal bipyramids, corners with three CdS4 trigonal pyramids, edges with two equivalent NaS6 octahedra, and an edgeedge with one NaS5 square pyramid. The corner-sharing octahedra tilt angles range from 16–56°. There are a spread of Cd–S bond distances ranging from 2.48–2.67 Å. In the sixth Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 trigonal pyramids that share a cornercorner with one NaS6 octahedra, corners with five CdS4 tetrahedra, corners with two equivalent NaS5 trigonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, and edges with four NaS5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 37°. There are a spread of Cd–S bond distances ranging from 2.48–2.88 Å. In the seventh Cd2+ site, Cd2+ is bonded to four S2- atoms to form CdS4 trigonal pyramids that share a cornercorner with one NaS6 octahedra, corners with six CdS4 tetrahedra, corners with two equivalent NaS5 trigonal bipyramids, corners with two equivalent CdS4 trigonal pyramids, edges with two equivalent NaS5 square pyramids, and edges with two equivalent NaS5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 35°. There are three shorter (2.53 Å) and one longer (3.02 Å) Cd–S bond lengths. There are ten inequivalent S2- sites. In the first S2- site, S2- is bonded to four Na1+ and three Cd2+ atoms to form distorted SNa4Cd3 pentagonal bipyramids that share corners with four SNa2Cd3 trigonal bipyramids, edges with two equivalent SNa4Cd3 pentagonal bipyramids, edges with two equivalent SNa2Cd3 trigonal bipyramids, and a faceface with one SNa3Cd2 trigonal bipyramid. In the second S2- site, S2- is bonded in a 7-coordinate geometry to four Na1+ and three Cd2+ atoms. In the third S2- site, S2- is bonded in a 7-coordinate geometry to four Na1+ and three Cd2+ atoms. In the fourth S2- site, S2- is bonded in a 7-coordinate geometry to four Na1+ and three Cd2+ atoms. In the fifth S2- site, S2- is bonded to three Na1+ and two Cd2+ atoms to form distorted SNa3Cd2 trigonal bipyramids that share corners with four SNa3Cd3 octahedra, corners with two equivalent SNa4Cd3 pentagonal bipyramids, corners with two equivalent SNa3Cd2 square pyramids, corners with four SNa2Cd3 trigonal bipyramids, and a faceface with one SNa4Cd3 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 8–64°. In the sixth S2- site, S2- is bonded to three Na1+ and three Cd2+ atoms to form SNa3Cd3 octahedra that share a cornercorner with one SNa3Cd2 square pyramid, corners with four SNa2Cd3 trigonal bipyramids, and edges with four SNa3Cd3 octahedra. In the seventh S2- site, S2- is bonded to three Na1+ and two equivalent Cd2+ atoms to form SNa3Cd2 square pyramids that share a cornercorner with one SNa3Cd3 octahedra, corners with four SNa2Cd3 trigonal bipyramids, edges with two equivalent SNa3Cd3 octahedra, and edges with two equivalent SNa3Cd2 square pyramids. The corner-sharing octahedral tilt angles are 1°. In the eighth S2- site, S2- is bonded to three Na1+ and three Cd2+ atoms to form distorted SNa3Cd3 octahedra that share corners with four SNa2Cd3 trigonal bipyramids, edges with four SNa3Cd3 octahedra, and edges with two equivalent SNa3Cd2 square pyramids. In the ninth S2- site, S2- is bonded to two Na1+ and three Cd2+ atoms to form SNa2Cd3 trigonal bipyramids that share corners with two equivalent SNa3Cd3 octahedra, corners with two equivalent SNa4Cd3 pentagonal bipyramids, corners with two equivalent SNa3Cd2 square pyramids, corners with two equivalent SNa2Cd3 trigonal bipyramids, and an edgeedge with one SNa2Cd3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. In the tenth S2- site, S2- is bonded to two Na1+ and three Cd2+ atoms to form SNa2Cd3 trigonal bipyramids that share corners with two equivalent SNa3Cd3 octahedra, corners with four SNa2Cd3 trigonal bipyramids, edges with two equivalent SNa4Cd3 pentagonal bipyramids, and an edgeedge with one SNa2Cd3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 68°.

36 MATERIALS SCIENCE↗

Materials Data on Li7Fe8(BO3)8 by Materials Project

Li7Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven 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 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.24 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 1.97–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four 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 1.94–2.14 Å. In the sixth 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 1.92–2.11 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. There are eight inequivalent Fe+2.12+ sites. In the first Fe+2.12+ site, Fe+2.12+ 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. In the second Fe+2.12+ site, Fe+2.12+ 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 2.00–2.36 Å. In the third Fe+2.12+ site, Fe+2.12+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.95–2.31 Å. In the fourth Fe+2.12+ site, Fe+2.12+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.94–2.12 Å. In the fifth Fe+2.12+ site, Fe+2.12+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.30 Å. In the sixth Fe+2.12+ site, Fe+2.12+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.98–2.33 Å. In the seventh Fe+2.12+ site, Fe+2.12+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.30 Å. In the eighth Fe+2.12+ site, Fe+2.12+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, edges with two FeO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 2.03–2.25 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 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 are a spread of B–O bond distances ranging from 1.37–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.43 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 1.38–1.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Fe+2.12+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the second O2- site, O2- is bonded to one Li1+, two Fe+2.12+, and one B3+ atom to form distorted OLiFe2B tetrahedra that share a cornercorner with one OLiFe2B tetrahedra and corners with four OLi2FeB trigonal pyramids. In the third O2- site, O2- is bonded to two Li1+, one Fe+2.12+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+, one Fe+2.12+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Fe+2.12+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with four OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Fe+2.12+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Fe+2.12+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with three OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Fe+2.12+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.12+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded to two Li1+, one Fe+2.12+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with two OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.12+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.12+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.12+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Fe+2.12+, and one B3+ atom to form distorted OLi2FeB tetrahedra that share corners with four OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.12+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn3Fe(BO3)4 by Materials Project

Li4Mn3Fe(BO3)4 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 two equivalent MnO5 trigonal bipyramids, corners with two FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.05 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.06 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 two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, corners with two equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.04 Å. 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 MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.08 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. There are six inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.28 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.31 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.09–2.32 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.27 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the sixth Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.30 Å. There are two 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 MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.02–2.27 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.28 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 (1.39 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 is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, 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 in a distorted rectangular see-saw-like geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fifth 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 OLiMn2B tetrahedra and corners with two OLi2MnB trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted OLi2MnB trigonal pyramids that share a cornercorner with one OLiMnFeB tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the eighth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the eleventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted OLi2MnB trigonal pyramids that share corners with three OLiMn2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the twelfth 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 thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, 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 to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Cd(CoO2)2 by Materials Project

Cd(CoO2)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and a faceface with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.89–2.27 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and an edgeedge with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.89–2.22 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and a faceface with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.90–2.20 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and an edgeedge with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.90–2.18 Å. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and an edgeedge with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 2.00–2.04 Å. In the sixth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and an edgeedge with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.99–2.09 Å. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and an edgeedge with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.97–2.09 Å. In the eighth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and an edgeedge with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.97–2.09 Å. There are four inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cd–O bond distances ranging from 2.32–2.43 Å. In the second Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 pentagonal pyramids that share corners with six CoO6 octahedra, edges with six CoO6 octahedra, and edges with two equivalent CdO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Cd–O bond distances ranging from 2.29–2.50 Å. In the third Cd2+ site, Cd2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Cd–O bond distances ranging from 2.30–2.50 Å. In the fourth Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 pentagonal pyramids that share corners with twelve CoO6 octahedra, edges with two equivalent CdO6 pentagonal pyramids, and faces with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 41–54°. There are a spread of Cd–O bond distances ranging from 2.32–2.42 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form distorted OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the second O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the third O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form distorted OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fourth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form distorted OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the seventh O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form distorted OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the eighth O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form distorted OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the ninth O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form distorted OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the tenth O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form distorted OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the thirteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form distorted OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form distorted OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.31 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.94–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.10 Å. There are eight inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.30 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.30 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.28 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.06–2.25 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.34 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.43 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.05 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.12 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.45 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.43 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLi2MnB trigonal pyramids. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and corners with two equivalent OLi2MnB trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted edge-sharing OLi2MnB trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on MgV2O4 by Materials Project

MgV2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 pentagonal pyramids that share corners with six VO6 octahedra, edges with six VO6 octahedra, and edges with two equivalent MgO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Mg–O bond distances ranging from 2.11–2.26 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 pentagonal pyramids that share corners with six VO6 octahedra, edges with six VO6 octahedra, and edges with two equivalent MgO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 2–14°. There are a spread of Mg–O bond distances ranging from 2.14–2.24 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 pentagonal pyramids that share corners with twelve VO6 octahedra, edges with two equivalent MgO6 pentagonal pyramids, and faces with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of Mg–O bond distances ranging from 2.17–2.23 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 pentagonal pyramids that share corners with twelve VO6 octahedra, edges with two equivalent MgO6 pentagonal pyramids, and faces with two VO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Mg–O bond distances ranging from 2.17–2.23 Å. There are eight inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five MgO6 pentagonal pyramids, edges with six VO6 octahedra, an edgeedge with one MgO6 pentagonal pyramid, and a faceface with one MgO6 pentagonal pyramid. There are a spread of V–O bond distances ranging from 2.01–2.12 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five MgO6 pentagonal pyramids, edges with six VO6 octahedra, an edgeedge with one MgO6 pentagonal pyramid, and a faceface with one MgO6 pentagonal pyramid. There are a spread of V–O bond distances ranging from 2.01–2.12 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five MgO6 pentagonal pyramids, edges with six VO6 octahedra, an edgeedge with one MgO6 pentagonal pyramid, and a faceface with one MgO6 pentagonal pyramid. There are a spread of V–O bond distances ranging from 2.01–2.13 Å. In the fourth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five MgO6 pentagonal pyramids, edges with six VO6 octahedra, an edgeedge with one MgO6 pentagonal pyramid, and a faceface with one MgO6 pentagonal pyramid. There are a spread of V–O bond distances ranging from 2.01–2.12 Å. In the fifth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four MgO6 pentagonal pyramids, edges with six VO6 octahedra, and edges with two MgO6 pentagonal pyramids. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. In the sixth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four MgO6 pentagonal pyramids, edges with six VO6 octahedra, and edges with two MgO6 pentagonal pyramids. There are a spread of V–O bond distances ranging from 2.00–2.11 Å. In the seventh V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four MgO6 pentagonal pyramids, edges with six VO6 octahedra, and edges with two MgO6 pentagonal pyramids. There are a spread of V–O bond distances ranging from 2.00–2.11 Å. In the eighth V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four MgO6 pentagonal pyramids, edges with six VO6 octahedra, and edges with two MgO6 pentagonal pyramids. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three V3+ atoms. In the fifth O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form OMgV3 trigonal pyramids that share corners with four OMg2V3 trigonal bipyramids, corners with three OMgV3 trigonal pyramids, and edges with four OMg2V3 trigonal bipyramids. In the sixth O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form OMgV3 trigonal pyramids that share corners with four OMg2V3 trigonal bipyramids, corners with three OMgV3 trigonal pyramids, and edges with four OMg2V3 trigonal bipyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form OMgV3 trigonal pyramids that share corners with four OMg2V3 trigonal bipyramids, corners with three OMgV3 trigonal pyramids, and edges with four OMg2V3 trigonal bipyramids. In the eighth O2- site, O2- is bonded to one Mg2+ and three V3+ atoms to form OMgV3 trigonal pyramids that share corners with four OMg2V3 trigonal bipyramids, corners with three OMgV3 trigonal pyramids, and edges with four OMg2V3 trigonal bipyramids. In the ninth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the tenth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Mg2+ and three V3+ atoms to form OMg2V3 trigonal bipyramids that share corners with five OMg2V3 trigonal bipyramids, corners with two OMgV3 trigonal pyramids, edges with four OMg2V3 trigonal bipyramids, and edges with two OMgV3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mn2ZnO4 by Materials Project

ZnMn2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.52 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.47 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.52 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.46 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.24 Å. In the sixth Mn3+ site, Mn3+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.27 Å. In the seventh Mn3+ site, Mn3+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.24 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.27 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zn–O bond distances ranging from 2.05–2.59 Å. In the second Zn2+ site, Zn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zn–O bond distances ranging from 2.04–2.60 Å. In the third Zn2+ site, Zn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zn–O bond distances ranging from 2.01–2.45 Å. In the fourth Zn2+ site, Zn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Zn–O bond distances ranging from 2.01–2.46 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the second O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the third O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the fourth O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the fifth O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the sixth O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the seventh O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the eighth O2- site, O2- is bonded to three Mn3+ and one Zn2+ atom to form distorted OMn3Zn trigonal pyramids that share corners with two OMn3Zn2 trigonal bipyramids, corners with six OMn3Zn trigonal pyramids, edges with two OMn3Zn2 trigonal bipyramids, and an edgeedge with one OMn3Zn trigonal pyramid. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to three Mn3+ and two Zn2+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Mn3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Mn3+ and two Zn2+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to three Mn3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded to three Mn3+ and two Zn2+ atoms to form distorted OMn3Zn2 trigonal bipyramids that share corners with four OMn3Zn2 trigonal bipyramids, corners with four OMn3Zn trigonal pyramids, and edges with four OMn3Zn trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Mn3+ and two Zn2+ atoms to form distorted OMn3Zn2 trigonal bipyramids that share corners with four OMn3Zn2 trigonal bipyramids, corners with four OMn3Zn trigonal pyramids, and edges with four OMn3Zn trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Mn3+ and two Zn2+ atoms to form distorted OMn3Zn2 trigonal bipyramids that share corners with four OMn3Zn2 trigonal bipyramids, corners with four OMn3Zn trigonal pyramids, and edges with four OMn3Zn trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Mn3+ and two Zn2+ atoms to form distorted OMn3Zn2 trigonal bipyramids that share corners with four OMn3Zn2 trigonal bipyramids, corners with four OMn3Zn trigonal pyramids, and edges with four OMn3Zn trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Cd(CoO2)2 by Materials Project

Cd(CoO2)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CdO6 pentagonal pyramids, edges with six CoO6 octahedra, an edgeedge with one CdO6 pentagonal pyramid, and a faceface with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.90–2.15 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CdO6 pentagonal pyramids, edges with six CoO6 octahedra, an edgeedge with one CdO6 pentagonal pyramid, and a faceface with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.90–2.14 Å. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CdO6 pentagonal pyramids, edges with six CoO6 octahedra, an edgeedge with one CdO6 pentagonal pyramid, and a faceface with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.90–2.14 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with five CdO6 pentagonal pyramids, edges with six CoO6 octahedra, an edgeedge with one CdO6 pentagonal pyramid, and a faceface with one CdO6 pentagonal pyramid. There are a spread of Co–O bond distances ranging from 1.90–2.15 Å. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and edges with two CdO6 pentagonal pyramids. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. In the sixth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and edges with two CdO6 pentagonal pyramids. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and edges with two CdO6 pentagonal pyramids. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. In the eighth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four CdO6 pentagonal pyramids, edges with six CoO6 octahedra, and edges with two CdO6 pentagonal pyramids. There are a spread of Co–O bond distances ranging from 1.99–2.07 Å. There are four inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 pentagonal pyramids that share corners with twelve CoO6 octahedra, edges with two equivalent CdO6 pentagonal pyramids, and faces with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Cd–O bond distances ranging from 2.34–2.41 Å. In the second Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 pentagonal pyramids that share corners with six CoO6 octahedra, edges with six CoO6 octahedra, and edges with two equivalent CdO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 4–17°. There are a spread of Cd–O bond distances ranging from 2.31–2.41 Å. In the third Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 pentagonal pyramids that share corners with six CoO6 octahedra, edges with six CoO6 octahedra, and edges with two equivalent CdO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Cd–O bond distances ranging from 2.30–2.42 Å. In the fourth Cd2+ site, Cd2+ is bonded to six O2- atoms to form distorted CdO6 pentagonal pyramids that share corners with twelve CoO6 octahedra, edges with two equivalent CdO6 pentagonal pyramids, and faces with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Cd–O bond distances ranging from 2.34–2.40 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the second O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the third O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fourth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the seventh O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the eighth O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the ninth O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form distorted OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the tenth O2- site, O2- is bonded to three Co3+ and one Cd2+ atom to form OCdCo3 trigonal pyramids that share corners with four OCd2Co3 trigonal bipyramids, corners with three OCdCo3 trigonal pyramids, and edges with four OCd2Co3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Cd2+ atom. In the thirteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to three Co3+ and two Cd2+ atoms to form OCd2Co3 trigonal bipyramids that share corners with five OCd2Co3 trigonal bipyramids, corners with two OCdCo3 trigonal pyramids, edges with four OCd2Co3 trigonal bipyramids, and edges with two OCdCo3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn3Fe5(BO3)8 by Materials Project

Li8Mn3Fe5(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 MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.06 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, corners with four FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, corners with three equivalent MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.07 Å. In the seventh 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 equivalent FeO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.05 Å. In the eighth 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 equivalent FeO5 trigonal bipyramids, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.06 Å. There are three inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.29 Å. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.10–2.27 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two FeO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.28 Å. There are five 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, 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 2.01–2.28 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 2.03–2.27 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, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.02–2.25 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, 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 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, and edges with two MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.01–2.26 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 one shorter (1.39 Å) and two longer (1.40 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There 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 two shorter (1.39 Å) and one 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 (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.40 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe2+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the sixth 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 seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the eleventh 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 OLiFe2B tetrahedra and corners with two OLi2FeB trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Fe2+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with three equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn2+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted OLi2FeB trigonal pyramids that share corners with three equivalent OLiFe2B tetrahedra and a cornercorner with one OLi2FeB trigonal pyramid. 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+, one Mn2+, one Fe2+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗