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Materials Data on LiTi2O4 by Materials Project

LiTi2O4 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 in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.12 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.13 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with nine TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–58°. There are a spread of Li–O bond distances ranging from 2.07–2.62 Å. In the fifth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.14 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with nine TiO6 octahedra, edges with three TiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–54°. There are a spread of Li–O bond distances ranging from 2.10–2.55 Å. In the seventh Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.13 Å. There are fourteen inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Ti–O bond distances ranging from 1.96–2.10 Å. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–15°. There are a spread of Ti–O bond distances ranging from 1.96–2.12 Å. In the third Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the fourth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with two LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the fifth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share an edgeedge with one LiO6 octahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.98–2.05 Å. In the sixth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.98–2.04 Å. In the seventh Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 14°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the eighth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There are a spread of Ti–O bond distances ranging from 2.03–2.07 Å. In the ninth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ti–O bond distances ranging from 2.00–2.08 Å. In the tenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with six TiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ti–O bond distances ranging from 1.99–2.07 Å. In the eleventh Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the twelfth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with six TiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ti–O bond distances ranging from 2.01–2.08 Å. In the thirteenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–O bond distances ranging from 1.96–2.11 Å. In the fourteenth Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two LiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the second O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the third O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with three OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and edges with two OLiTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, an edgeedge with one OLi2Ti3 trigonal bipyramid, and edges with two OLiTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form OLiTi3 trigonal pyramids that share corners with three OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, an edgeedge with one OLi2Ti3 square pyramid, and edges with three OLi2Ti3 trigonal bipyramids. In the sixth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share a cornercorner with one OLi2Ti3 square pyramid, corners with two OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and edges with two OLiTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, a cornercorner with one OLiTi3 trigonal pyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, and a cornercorner with one OLiTi3 trigonal pyramid. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.50+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share a cornercorner with one OLi2Ti3 square pyramid and an edgeedge with one OLiTi3 trigonal pyramid. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-second O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, corners with three OLiTi3 trigonal pyramids, an edgeedge with one OLi2Ti3 square pyramid, an edgeedge with one OLi2Ti3 trigonal bipyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLiTi3 trigonal pyramid, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form OLiTi3 trigonal pyramids that share corners with two OLi2Ti3 square pyramids, a cornercorner with one OLi2Ti3 trigonal bipyramid, edges with two OLi2Ti3 square pyramids, edges with two OLi2Ti3 trigonal bipyramids, and an edgeedge with one OLiTi3 trigonal pyramid. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the twenty-eighth O2- site, O2- is bonded to two Li1+ and three Ti+3.50+ atoms to form distorted OLi2Ti3 trigonal bipyramids that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLi2Ti3 trigonal bipyramid, edges w

36 MATERIALS SCIENCE↗

Materials Data on CaTi2O4 by Materials Project

CaTi2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–75°. There are a spread of Ca–O bond distances ranging from 2.19–2.24 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with three CaO4 tetrahedra, corners with three TiO4 tetrahedra, and edges with six TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.31 Å. In the third Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–71°. There are a spread of Ca–O bond distances ranging from 2.18–2.24 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four TiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.24–2.33 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four equivalent TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.34 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.29–2.40 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five TiO4 tetrahedra, an edgeedge with one CaO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.25–2.33 Å. In the eighth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.30–2.41 Å. There are twelve inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three CaO4 tetrahedra, corners with three TiO4 tetrahedra, edges with two equivalent CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.00–2.27 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.17 Å. In the third Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Ti–O bond distances ranging from 1.86–1.94 Å. In the fourth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent CaO4 tetrahedra, corners with four TiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.20 Å. In the fifth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Ti–O bond distances ranging from 1.89–1.95 Å. In the sixth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ti–O bond distances ranging from 1.84–1.93 Å. In the seventh Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four CaO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.10–2.26 Å. In the eighth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Ti–O bond distances ranging from 1.87–1.98 Å. In the ninth Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one CaO4 tetrahedra, corners with five TiO4 tetrahedra, edges with three CaO6 octahedra, and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.02–2.43 Å. In the tenth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with six CaO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. There is two shorter (1.86 Å) and two longer (1.96 Å) Ti–O bond length. In the eleventh Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent CaO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, edges with two CaO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 2.03–2.17 Å. In the twelfth Ti3+ site, Ti3+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with three CaO6 octahedra and corners with nine TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Ti–O bond distances ranging from 1.88–1.95 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and two Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCa2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Ca2+ and two equivalent Ti3+ atoms to form distorted OCa2Ti2 trigonal pyramids that share a cornercorner with one OCaTi3 tetrahedra, corners with two equivalent OCa2Ti2 trigonal pyramids, and edges with three OCa2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to one Ca2+ and three Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCaTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti3+ atoms. In the fifth O2- site, O2- is bonded to two Ca2+ and two Ti3+ atoms to form distorted OCa2Ti2 trigonal pyramids that share a cornercorner with one OCaTi3 tetrahedra, corners with two OCa2Ti2 trigonal pyramids, an edgeedge with one OCaTi3 tetrahedra, and an edgeedge with one OCa2Ti2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the ninth O2- site, O2- is bonded to one Ca2+ and three Ti3+ atoms to form a mixture of distorted corner and edge-sharing OCaTi3 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ca2+ and two Ti3+ atoms. In the nineteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Ti3+ atoms to form corner-sharing OCa2Ti2 tetrahedra. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to four Ti3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ca2+ and three Ti3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zn(CoO2)2 by Materials Project

ZnCo2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.97 Å. In the third Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CoO4 tetrahedra, edges with three CoO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.98 Å. In the fifth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Co–O bond distances ranging from 1.94–2.01 Å. In the sixth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–62°. There is two shorter (1.87 Å) and two longer (1.92 Å) Co–O bond length. In the seventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the eighth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the ninth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CoO4 tetrahedra, edges with three CoO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.98 Å. In the tenth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with six CoO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of Co–O bond distances ranging from 1.87–1.94 Å. In the eleventh Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.97 Å. In the twelfth Co3+ site, Co3+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There is three shorter (1.95 Å) and one longer (2.03 Å) Co–O bond length. There are eight inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are three shorter (1.96 Å) and one longer (2.04 Å) Zn–O bond lengths. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with three CoO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.05–2.07 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three ZnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There are a spread of Zn–O bond distances ranging from 1.96–2.05 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with two equivalent ZnO4 tetrahedra, corners with four CoO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CoO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.03–2.12 Å. In the fifth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CoO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four equivalent CoO6 octahedra. There are four shorter (2.05 Å) and two longer (2.10 Å) Zn–O bond lengths. In the sixth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CoO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.05–2.11 Å. In the seventh Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one ZnO4 tetrahedra, corners with five CoO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five CoO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.05–2.09 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six CoO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four CoO6 octahedra. There are four shorter (2.06 Å) and two longer (2.11 Å) Zn–O bond lengths. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Co3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Co3+ and two Zn2+ atoms. In the third O2- site, O2- is bonded to three Co3+ and one Zn2+ atom to form distorted OZnCo3 trigonal pyramids that share a cornercorner with one OZn2Co2 tetrahedra and corners with three OCo4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Co3+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Co3+ and two Zn2+ atoms to form a mixture of distorted edge and corner-sharing OZn2Co2 trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the ninth O2- site, O2- is bonded to three Co3+ and one Zn2+ atom to form distorted OZnCo3 trigonal pyramids that share corners with five OZnCo3 trigonal pyramids and edges with two equivalent OZn2Co2 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co3+ and two Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co3+ and two Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded to three Co3+ and one Zn2+ atom to form distorted corner-sharing OZnCo3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co3+ and two Zn2+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded to two equivalent Co3+ and two Zn2+ atoms to form distorted corner-sharing OZn2Co2 tetrahedra. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the twenty-second O2- site, O2- is bonded to four Co3+ atoms to form distorted OCo4 trigonal pyramids that share corners with two equivalent OZn2Co2 tetrahedra and a cornercorner with one OZnCo3 trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Co3+ and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg(MoO2)2 by Materials Project

Mg(MoO2)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine MoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of Mg–O bond distances ranging from 2.02–2.10 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MoO4 tetrahedra, corners with three equivalent MoO4 trigonal pyramids, edges with two MgO6 octahedra, and edges with four MoO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.14 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with two equivalent MoO4 tetrahedra, corners with two MoO4 trigonal pyramids, an edgeedge with one MgO6 octahedra, and edges with five MoO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three equivalent MoO4 tetrahedra, corners with three equivalent MoO4 trigonal pyramids, edges with two MgO6 octahedra, and edges with four MoO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MoO4 tetrahedra, corners with three MoO4 trigonal pyramids, edges with two MgO6 octahedra, and edges with four MoO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.07–2.20 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share a cornercorner with one MgO4 tetrahedra, a cornercorner with one MoO4 tetrahedra, corners with four MoO4 trigonal pyramids, an edgeedge with one MgO6 octahedra, and edges with five MoO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. There are twelve inequivalent Mo3+ sites. In the first Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with two equivalent MoO4 tetrahedra, corners with two MoO4 trigonal pyramids, edges with three MgO6 octahedra, and edges with three MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.17–2.22 Å. In the second Mo3+ site, Mo3+ is bonded to four O2- atoms to form MoO4 trigonal pyramids that share corners with six MgO6 octahedra and corners with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–67°. There are a spread of Mo–O bond distances ranging from 2.01–2.35 Å. In the third Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent MoO4 trigonal pyramids, edges with two MgO6 octahedra, and edges with four MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.11–2.21 Å. In the fourth Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with two equivalent MoO4 tetrahedra, corners with two MoO4 trigonal pyramids, edges with three MgO6 octahedra, and edges with three MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.05–2.16 Å. In the fifth Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with three MoO4 tetrahedra, corners with three MoO4 trigonal pyramids, edges with two equivalent MoO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.11–2.22 Å. In the sixth Mo3+ site, Mo3+ is bonded to four O2- atoms to form distorted MoO4 trigonal pyramids that share corners with six MgO6 octahedra and corners with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 37–72°. There are a spread of Mo–O bond distances ranging from 1.99–2.65 Å. In the seventh Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share corners with three MoO4 tetrahedra, corners with three MoO4 trigonal pyramids, edges with two equivalent MoO6 octahedra, and edges with four MgO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.11–2.24 Å. In the eighth Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MgO4 tetrahedra, a cornercorner with one MoO4 tetrahedra, corners with four MoO4 trigonal pyramids, edges with three MgO6 octahedra, and edges with three MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.17–2.19 Å. In the ninth Mo3+ site, Mo3+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with six MgO6 octahedra and corners with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 48–67°. There are a spread of Mo–O bond distances ranging from 2.02–2.30 Å. In the tenth Mo3+ site, Mo3+ is bonded to six O2- atoms to form MoO6 octahedra that share a cornercorner with one MgO4 tetrahedra, a cornercorner with one MoO4 tetrahedra, corners with four MoO4 trigonal pyramids, edges with three MgO6 octahedra, and edges with three MoO6 octahedra. There are a spread of Mo–O bond distances ranging from 2.14–2.21 Å. In the eleventh Mo3+ site, Mo3+ is bonded to four O2- atoms to form MoO4 tetrahedra that share corners with six MgO6 octahedra and corners with six MoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of Mo–O bond distances ranging from 2.09–2.15 Å. In the twelfth Mo3+ site, Mo3+ is bonded to four O2- atoms to form MoO4 trigonal pyramids that share corners with three MgO6 octahedra and corners with nine MoO6 octahedra. The corner-sharing octahedra tilt angles range from 47–72°. There are a spread of Mo–O bond distances ranging from 2.08–2.40 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the second O2- site, O2- is bonded to one Mg2+ and three Mo3+ atoms to form distorted corner-sharing OMgMo3 trigonal pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+ and three Mo3+ atoms. In the eighth O2- site, O2- is bonded to two Mg2+ and two Mo3+ atoms to form a mixture of distorted corner and edge-sharing OMg2Mo2 trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the tenth O2- site, O2- is bonded to one Mg2+ and three Mo3+ atoms to form distorted OMgMo3 trigonal pyramids that share corners with two OMgMo3 tetrahedra, corners with four OMo4 trigonal pyramids, and an edgeedge with one OMg2Mo2 trigonal pyramid. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Mo3+ atoms. In the twenty-first O2- site, O2- is bonded to four Mo3+ atoms to form a mixture of distorted corner and edge-sharing OMo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Mo3+ atoms to form distorted OMgMo3 tetrahedra that share a cornercorner with one OMgMo3 tetrahedra, corners with two OMo4 trigonal pyramids, an edgeedge with one OMgMo3 tetrahedra, and an edgeedge with one OMo4 trigonal pyramid. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mo3+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Mo3+ atoms to form distorted OMgMo3 tetrahedra that share a cornercorner with one OMgMo3 tetrahedra, corners with two OMo4 trigonal pyramids, an edgeedge with one OMgMo3 tetrahedra, and an edgeedge with one OMo4 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on ZnFe4NiO8 by Materials Project

Fe4NiZnO8 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are ten inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent NiO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Fe–O bond distances ranging from 1.91–1.95 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four NiO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Fe–O bond distances ranging from 1.92–1.95 Å. In the third Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Fe–O bond distances ranging from 1.92–1.96 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.02 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.08 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.00 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.02 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two equivalent NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.07 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with three FeO6 octahedra, and edges with three NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.06 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.13 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.11 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.12 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three FeO4 tetrahedra, corners with three ZnO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.12 Å. There are three inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–61°. There are a spread of Zn–O bond distances ranging from 1.94–2.02 Å. In the second Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Zn–O bond distances ranging from 1.96–2.05 Å. In the third Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are three shorter (1.97 Å) and one longer (2.03 Å) Zn–O bond lengths. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Fe3+, one Ni2+, and one Zn2+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventh O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted edge-sharing OZnFe3 trigonal pyramids. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Ni2+ atom. In the fifteenth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted edge-sharing OZnFe3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Fe3+, one Ni2+, and one Zn2+ atom. In the eighteenth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted edge-sharing OZnFe3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Fe3+, two Ni2+, and one Zn2+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+, one Ni2+, and one Zn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ag5Sb23(PbS4)12 by Materials Project

Ag5Sb23(PbS4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Ag sites. In the first Ag site, Ag is bonded in a distorted see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.51–2.74 Å. In the second Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.49–2.79 Å. In the third Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.51–2.77 Å. In the fourth Ag site, Ag is bonded in a see-saw-like geometry to four S atoms. There are a spread of Ag–S bond distances ranging from 2.50–2.75 Å. In the fifth Ag site, Ag is bonded to six S atoms to form AgS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–28°. There are a spread of Ag–S bond distances ranging from 2.67–2.98 Å. There are twelve inequivalent Pb sites. In the first Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.77–3.10 Å. In the second Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.82–3.10 Å. In the third Pb site, Pb is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Pb–S bond distances ranging from 2.83–3.05 Å. In the fourth Pb site, Pb is bonded in a 5-coordinate geometry to five S atoms. There are a spread of Pb–S bond distances ranging from 2.88–3.15 Å. In the fifth Pb site, Pb is bonded in a 7-coordinate geometry to seven S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.24 Å. In the sixth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.91–3.15 Å. In the seventh Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.94–3.12 Å. In the eighth Pb site, Pb is bonded in a 6-coordinate geometry to six S atoms. There are a spread of Pb–S bond distances ranging from 2.96–3.13 Å. In the ninth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent AgS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–28°. There are a spread of Pb–S bond distances ranging from 2.88–3.13 Å. In the tenth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Pb–S bond distances ranging from 2.89–3.09 Å. In the eleventh Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one AgS6 octahedra, and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Pb–S bond distances ranging from 2.85–3.06 Å. In the twelfth Pb site, Pb is bonded to six S atoms to form PbS6 octahedra that share corners with two equivalent SbS6 octahedra, an edgeedge with one PbS6 octahedra, and an edgeedge with one SbS6 octahedra. The corner-sharing octahedra tilt angles range from 12–26°. There are a spread of Pb–S bond distances ranging from 2.87–3.13 Å. There are twenty-three inequivalent Sb sites. In the first Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.58 Å. In the second Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.46–2.59 Å. In the third Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.50 Å) and two longer (2.57 Å) Sb–S bond lengths. In the fourth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are one shorter (2.46 Å) and two longer (2.56 Å) Sb–S bond lengths. In the fifth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.53–2.87 Å. In the sixth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.54–2.94 Å. In the seventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.55–2.87 Å. In the eighth Sb site, Sb is bonded in a rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.51–2.96 Å. In the ninth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.96 Å. In the tenth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.94 Å. In the eleventh Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.50–2.93 Å. In the twelfth Sb site, Sb is bonded in a distorted rectangular see-saw-like geometry to four S atoms. There are a spread of Sb–S bond distances ranging from 2.43–2.97 Å. In the thirteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.57 Å. In the fourteenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are two shorter (2.51 Å) and one longer (2.53 Å) Sb–S bond lengths. In the fifteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.59 Å. In the sixteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.43–2.57 Å. In the seventeenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.46–2.54 Å. In the eighteenth Sb site, Sb is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.53 Å. In the nineteenth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are two shorter (2.49 Å) and one longer (2.54 Å) Sb–S bond lengths. In the twentieth Sb site, Sb is bonded in a 3-coordinate geometry to three S atoms. There are a spread of Sb–S bond distances ranging from 2.49–2.54 Å. In the twenty-first Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Sb–S bond distances ranging from 2.70–2.89 Å. In the twenty-second Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 14–27°. There are a spread of Sb–S bond distances ranging from 2.69–2.94 Å. In the twenty-third Sb site, Sb is bonded to six S atoms to form SbS6 octahedra that share corners with two equivalent PbS6 octahedra and an edgeedge with one PbS6 octahedra. The corner-sharing octahedra tilt angles range from 12–26°. There are a spread of Sb–S bond distances ranging from 2.68–2.94 Å. There are forty-eight inequivalent S sites. In the first S site, S is bonded in a rectangular see-saw-like geometry to one Pb and three Sb atoms. In the second S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, one Pb, and two Sb atoms. In the third S site, S is bonded in a distorted rectangular see-saw-like geometry to one Pb and three Sb atoms. In the fourth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Pb and three Sb atoms. In the fifth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the sixth S site, S is bonded to two Pb and two Sb atoms to form distorted corner-sharing SSb2Pb2 tetrahedra. In the seventh S site, S is bonded to two Pb and two Sb atoms to form distorted corner-sharing SSb2Pb2 tetrahedra. In the eighth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the ninth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the tenth S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the eleventh S site, S is bonded to one Ag, two Pb, and one Sb atom to form distorted corner-sharing SAgSbPb2 tetrahedra. In the twelfth S site, S is bonded in a 4-coordinate geometry to one Ag, two Pb, and one Sb atom. In the thirteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the fourteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the fifteenth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the sixteenth S site, S is bonded in a 5-coordinate geometry to two Ag, two Pb, and one Sb atom. In the seventeenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the eighteenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the nineteenth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twentieth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-first S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-second S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-third S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-fourth S site, S is bonded in a 2-coordinate geometry to one Ag, one Pb, and one Sb atom. In the twenty-fifth S site, S is bonded in a distorted see-saw-like geometry to one Ag, two Pb, and one Sb atom. In the twenty-sixth S site, S is bonded in a distorted see-saw-like geometry to two Pb and two Sb atoms. In the twenty-seventh S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-eighth S site, S is bonded in a 4-coordinate geometry to two Pb and two Sb atoms. In the twenty-ninth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, two Pb, and one Sb atom. In the thirtieth S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-first S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-second S site, S is bonded in a distorted rectangular see-saw-like geometry to two Pb and two Sb atoms. In the thirty-third S site, S is bonded in a distorted L-shaped geometry to one Pb and two Sb atoms. In the thirty-fourth S site, S is bonded in a 2-coordinate geometry to one Pb and two Sb atoms. In the thirty-fifth S site, S is bonded in a 2-coordinate geometry to one Pb and two Sb atoms. In the thirty-sixth S site, S is bonded in a distorted L-shaped geometry to one Pb and two Sb atoms. In the thirty-seventh S site, S is bonded in a 3-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the thirty-eighth S site, S is bonded in a 4-coordinate geometry to one Ag, one Pb, and two Sb atoms. In the thirty-ninth S site, S is bonded in a distorted rectangular see-saw-like geometry to one Ag, one Pb, and two Sb atoms. In the fortieth S site, S is bonded in a 4-coordi

36 MATERIALS SCIENCE↗

Materials Data on Li2CrCo3O8 by Materials Project

Li2CrCo3O8 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 four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–62°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.96–2.02 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. All Li–O bond lengths are 1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CrO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.95–1.99 Å. There are four inequivalent Cr6+ sites. In the first Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.99–2.02 Å. In the second Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.90–2.02 Å. In the third Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. In the fourth Cr6+ site, Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Cr–O bond distances ranging from 2.00–2.02 Å. There are twelve inequivalent Co+2.67+ sites. In the first Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.06 Å. In the second Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.07 Å. In the third Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.02 Å. In the fourth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.97–2.06 Å. In the fifth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the sixth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–2.04 Å. In the seventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the eighth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.04 Å. In the ninth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. In the tenth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–2.07 Å. In the eleventh Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.93 Å. In the twelfth Co+2.67+ site, Co+2.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CrO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–2.02 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form a mixture of distorted corner and edge-sharing OLiCo3 tetrahedra. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 tetrahedra that share corners with six OLiCrCo2 trigonal pyramids and an edgeedge with one OLiCo3 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra and edges with two OLiCrCo2 trigonal pyramids. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCo3 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form a mixture of distorted corner and edge-sharing OLiCrCo2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLiCo3 trigonal pyramids, and edges with two OLiCrCo2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form a mixture of distorted corner and edge-sharing OLiCrCo2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLiCrCo2 trigonal pyramids, and an edgeedge with one OLiCrCo2 trigonal pyramid. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share corners with two OLiCrCo2 trigonal pyramids and edges with two OLiCo3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted OLiCrCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, and edges with two OLiCo3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+, one Cr6+, and two Co+2.67+ atoms to form distorted corner-sharing OLiCrCo2 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Co+2.67+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with three OLiCrCo2 trigonal pyramids, and edges with two OLiCrCo2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Cr6+, and two Co+2.67+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co+2.67+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rec

36 MATERIALS SCIENCE↗

Materials Data on Li2CoNi3O8 by Materials Project

Li2CoNi3O8 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 four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Li–O bond distances ranging from 1.91–1.97 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.92–1.96 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–67°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.94 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.92 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.94 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. There are twelve inequivalent Ni+3.33+ sites. In the first Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.89–2.04 Å. In the second Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the third Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.90 Å. In the fourth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.90 Å. In the fifth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.96–2.05 Å. In the sixth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the seventh Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the eighth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.92–2.04 Å. In the ninth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.88–1.90 Å. In the tenth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.90 Å. In the eleventh Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the twelfth Ni+3.33+ site, Ni+3.33+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two CoO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.01–2.04 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 tetrahedra that share corners with two OLiNi3 tetrahedra and corners with two OLiCoNi2 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the seventh O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted corner-sharing OLiCoNi2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share a cornercorner with one OLiNi3 tetrahedra, corners with five OLiCoNi2 trigonal pyramids, an edgeedge with one OLiCoNi2 tetrahedra, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 tetrahedra that share corners with two OLiNi3 tetrahedra, corners with five OLiCoNi2 trigonal pyramids, and an edgeedge with one OLiCoNi2 trigonal pyramid. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiNi3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted OLiCoNi2 trigonal pyramids that share corners with three OLiCoNi2 tetrahedra, a cornercorner with one OLiCoNi2 trigonal pyramid, and an edgeedge with one OLiNi3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiCoNi2 trigonal pyramids. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.33+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Co4+, and two Ni+3.33+ atoms. In the thirty-second O2- site, O2- is bonded to one Li1+, one Co4+, and two Ni+3.33+ atoms to form distorted corner-sharing OLiCoNi2 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Al2NiO4 by Materials Project

NiAl2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Ni–O bond distances ranging from 1.94–1.99 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six AlO4 tetrahedra, edges with two NiO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.09 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two equivalent NiO4 tetrahedra, corners with four AlO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.08 Å. In the fourth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six AlO4 tetrahedra, edges with two NiO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.10 Å. In the fifth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six AlO4 tetrahedra, edges with two NiO6 octahedra, and edges with four equivalent AlO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.07 Å. In the sixth Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO4 tetrahedra, corners with five AlO4 tetrahedra, an edgeedge with one NiO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.07 Å. There are nine inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent NiO4 tetrahedra, corners with four AlO4 tetrahedra, edges with three NiO6 octahedra, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.98 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent NiO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two NiO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.00 Å. In the third Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six NiO6 octahedra and corners with six AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is three shorter (1.80 Å) and one longer (1.84 Å) Al–O bond length. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra, edges with two equivalent AlO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six NiO6 octahedra and corners with six AlO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There is two shorter (1.78 Å) and two longer (1.82 Å) Al–O bond length. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six NiO6 octahedra and corners with six AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Al–O bond distances ranging from 1.79–1.85 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one NiO4 tetrahedra, corners with five AlO4 tetrahedra, edges with three NiO6 octahedra, and edges with three AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.86–2.02 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six NiO6 octahedra and corners with six AlO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Al–O bond distances ranging from 1.79–1.85 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Al–O bond distances ranging from 1.80–1.91 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ni2+ and two Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the third O2- site, O2- is bonded to one Ni2+ and three Al3+ atoms to form distorted corner-sharing OAl3Ni trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ni2+ and two Al3+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ni2+ and two Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ni2+ and two Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ni2+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded to two Ni2+ and two equivalent Al3+ atoms to form distorted corner-sharing OAl2Ni2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ni2+ and three Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgAl6O10 by Materials Project

MgAl6O10 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There is one shorter (1.90 Å) and three longer (1.99 Å) Mg–O bond length. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There is one shorter (1.90 Å) and three longer (1.99 Å) Mg–O bond length. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is one shorter (1.92 Å) and three longer (1.95 Å) Mg–O bond length. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There is three shorter (1.93 Å) and one longer (2.03 Å) Mg–O bond length. There are nineteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Al–O bond distances ranging from 1.75–1.86 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.04 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.96 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.98 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Al–O bond distances ranging from 1.75–1.85 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one MgO4 tetrahedra, corners with five AlO4 tetrahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.03 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.11 Å. In the ninth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Al–O bond distances ranging from 1.77–1.89 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.96 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Al–O bond distances ranging from 1.75–1.90 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.95 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one AlO4 tetrahedra, corners with five MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–1.97 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Al–O bond distances ranging from 1.77–1.87 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.99 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.96 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the nineteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Al–O bond distances ranging from 1.75–1.88 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Mg2+ and two equivalent Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Mg2+ and two equivalent Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted corner and edge-sharing OMgAl3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on PrAl22O34 by Materials Project

PrAl22O34 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Pr–O bond distances ranging from 2.47–2.89 Å. In the second Pr site, Pr is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Pr–O bond distances ranging from 2.47–2.89 Å. There are twenty-three inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.92 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.07 Å. In the fourth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Al–O bond distances ranging from 1.81–1.84 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the sixth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the seventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.07 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the tenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the eleventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is four shorter (1.90 Å) and two longer (1.91 Å) Al–O bond length. In the twelfth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Al–O bond distances ranging from 1.81–1.84 Å. In the thirteenth Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.82 Å) and two longer (1.83 Å) Al–O bond length. In the fourteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the fifteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the sixteenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the seventeenth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.73–1.82 Å. In the eighteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.07 Å. In the nineteenth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the twentieth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is two shorter (1.90 Å) and four longer (1.92 Å) Al–O bond length. In the twenty-first Al site, Al is bonded to four O atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.82 Å) and two longer (1.83 Å) Al–O bond length. In the twenty-second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.07 Å. In the twenty-third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. There are thirty-four inequivalent O sites. In the first O site, O is bonded in a 3-coordinate geometry to one Pr and three Al atoms. In the second O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the third O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifth O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the sixth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to one Pr and three Al atoms. In the eighth O site, O is bonded in a 3-coordinate geometry to one Pr and two Al atoms. In the ninth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the tenth O site, O is bonded in a distorted trigonal planar geometry to one Pr and three Al atoms. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twelfth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fourteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the fifteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the sixteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Pr and three Al atoms. In the twentieth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-first O site, O is bonded in a distorted trigonal planar geometry to one Pr and three Al atoms. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to one Pr and three Al atoms. In the twenty-third O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-fourth O site, O is bonded in a 3-coordinate geometry to one Pr and two Al atoms. In the twenty-fifth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-sixth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the twenty-seventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-eighth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twenty-ninth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirtieth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the thirty-second O site, O is bonded in a trigonal non-coplanar geometry to three Al atoms. In the thirty-third O site, O is bonded in a trigonal planar geometry to three Al atoms. In the thirty-fourth O site, O is bonded in a trigonal planar geometry to three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg7Al22O40 by Materials Project

Mg7Al22O40 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with eleven AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–65°. There are a spread of Mg–O bond distances ranging from 1.96–1.99 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.05 Å. In the third Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 58–63°. There is one shorter (1.93 Å) and three longer (1.97 Å) Mg–O bond length. In the fourth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–62°. There is three shorter (1.94 Å) and one longer (1.98 Å) Mg–O bond length. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.09 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with ten AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mg–O bond distances ranging from 1.92–1.98 Å. In the seventh Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve AlO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is three shorter (1.93 Å) and one longer (2.03 Å) Mg–O bond length. There are seventeen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–60°. There are a spread of Al–O bond distances ranging from 1.77–1.87 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Al–O bond distances ranging from 1.77–1.90 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.80–2.12 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–2.01 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.06 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Al–O bond distances ranging from 1.81–1.86 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent MgO4 tetrahedra, corners with four AlO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–2.02 Å. In the eighth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share a cornercorner with one MgO6 octahedra and corners with nine AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Al–O bond distances ranging from 1.78–1.88 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three equivalent MgO4 tetrahedra, corners with three equivalent AlO4 tetrahedra, edges with two MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.88–2.01 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with two equivalent AlO4 tetrahedra, corners with four MgO4 tetrahedra, edges with two equivalent MgO6 octahedra, and edges with four AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–2.07 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra, an edgeedge with one MgO6 octahedra, and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.87–1.98 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.91–1.97 Å. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There is three shorter (1.89 Å) and three longer (1.97 Å) Al–O bond length. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six MgO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.96 Å. In the fifteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.89–1.99 Å. In the sixteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three MgO4 tetrahedra, corners with three AlO4 tetrahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.97 Å. In the seventeenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.73–1.89 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Al3+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the thirteenth O2- site, O2- is bonded to two Mg2+ and two equivalent Al3+ atoms to form corner-sharing OMg2Al2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two Al3+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mg2+ and two equivalent Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form a mixture of distorted edge and corner-sharing OMgAl3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded to one Mg2+ and three Al3+ atoms to form distorted corner-sharing OMgAl3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on LaAl22O34 by Materials Project

LaAl22O34 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent La2+ sites. In the first La2+ site, La2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.90 Å. In the second La2+ site, La2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.90 Å. There are twenty-three inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Al–O bond distances ranging from 1.81–1.84 Å. In the fifth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the sixth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the seventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.07 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the ninth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the tenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the eleventh Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Al–O bond distances ranging from 1.81–1.84 Å. In the twelfth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.82 Å) and two longer (1.83 Å) Al–O bond length. In the thirteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.85–1.99 Å. In the fourteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the fifteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the sixteenth Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Al–O bond distances ranging from 1.74–1.82 Å. In the seventeenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.08 Å. In the eighteenth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.81–2.09 Å. In the nineteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–59°. There is two shorter (1.82 Å) and two longer (1.83 Å) Al–O bond length. In the twentieth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There is four shorter (1.90 Å) and two longer (1.91 Å) Al–O bond length. In the twenty-first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.82–2.07 Å. In the twenty-second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with five AlO4 tetrahedra and edges with five AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.83–2.07 Å. In the twenty-third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with six AlO4 tetrahedra and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.93 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one La2+ and three Al3+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and two Al3+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and three Al3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one La2+ and three Al3+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one La2+ and two Al3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Al3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Al3+ atoms. In the thirty-third O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a trigonal planar geometry to three Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Er2CdSe4 by Materials Project

Er2CdSe4 is Spinel-like structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are eleven inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to four Se2- atoms to form ErSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 58–59°. There are three shorter (2.70 Å) and one longer (2.72 Å) Er–Se bond lengths. In the second Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with three ErSe4 tetrahedra, corners with three CdSe4 tetrahedra, edges with two CdSe6 octahedra, and edges with four equivalent ErSe6 octahedra. There are a spread of Er–Se bond distances ranging from 2.83–2.88 Å. In the third Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share a cornercorner with one ErSe4 tetrahedra, corners with five CdSe4 tetrahedra, an edgeedge with one CdSe6 octahedra, and edges with five ErSe6 octahedra. There are a spread of Er–Se bond distances ranging from 2.83–2.88 Å. In the fourth Er3+ site, Er3+ is bonded to four Se2- atoms to form ErSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are three shorter (2.70 Å) and one longer (2.73 Å) Er–Se bond lengths. In the fifth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the sixth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. There are three shorter (2.84 Å) and three longer (2.86 Å) Er–Se bond lengths. In the seventh Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the eighth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the ninth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. All Er–Se bond lengths are 2.85 Å. In the tenth Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with two equivalent ErSe4 tetrahedra, corners with four CdSe4 tetrahedra, an edgeedge with one CdSe6 octahedra, and edges with five ErSe6 octahedra. There are two shorter (2.84 Å) and four longer (2.85 Å) Er–Se bond lengths. In the eleventh Er3+ site, Er3+ is bonded to six Se2- atoms to form ErSe6 octahedra that share corners with six CdSe4 tetrahedra and edges with six ErSe6 octahedra. There are three shorter (2.84 Å) and three longer (2.86 Å) Er–Se bond lengths. There are eleven inequivalent Cd2+ sites. In the first Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.68 Å) and one longer (2.74 Å) Cd–Se bond lengths. In the second Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with three equivalent CdSe6 octahedra and corners with nine ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are three shorter (2.68 Å) and one longer (2.74 Å) Cd–Se bond lengths. In the third Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent ErSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six ErSe6 octahedra. There are three shorter (2.82 Å) and three longer (2.91 Å) Cd–Se bond lengths. In the fourth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.70 Å) Cd–Se bond lengths. In the fifth Cd2+ site, Cd2+ is bonded to six Se2- atoms to form CdSe6 octahedra that share corners with three equivalent ErSe4 tetrahedra, corners with three equivalent CdSe4 tetrahedra, and edges with six ErSe6 octahedra. There are three shorter (2.83 Å) and three longer (2.90 Å) Cd–Se bond lengths. In the sixth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. All Cd–Se bond lengths are 2.70 Å. In the seventh Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. All Cd–Se bond lengths are 2.70 Å. In the eighth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–Se bond lengths are 2.70 Å. In the ninth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cd–Se bond lengths are 2.70 Å. In the tenth Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.70 Å) Cd–Se bond lengths. In the eleventh Cd2+ site, Cd2+ is bonded to four Se2- atoms to form CdSe4 tetrahedra that share corners with twelve ErSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are one shorter (2.69 Å) and three longer (2.70 Å) Cd–Se bond lengths. There are twenty-four inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Er3+ and two Cd2+ atoms. In the second Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the third Se2- site, Se2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SeEr3Cd trigonal pyramids. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Er3+ and two Cd2+ atoms. In the fifth Se2- site, Se2- is bonded to four Er3+ atoms to form a mixture of distorted corner and edge-sharing SeEr4 trigonal pyramids. In the sixth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the seventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the eighth Se2- site, Se2- is bonded to three Er3+ and one Cd2+ atom to form a mixture of distorted corner and edge-sharing SeEr3Cd trigonal pyramids. In the ninth Se2- site, Se2- is bonded to four Er3+ atoms to form a mixture of distorted corner and edge-sharing SeEr4 trigonal pyramids. In the tenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the eleventh Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the thirteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the fourteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the fifteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. The Se–Er bond length is 2.85 Å. The Se–Cd bond length is 2.70 Å. In the sixteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. The Se–Er bond length is 2.85 Å. In the seventeenth Se2- site, Se2- is bonded in a distorted trigonal pyramidal geometry to three equivalent Er3+ and one Cd2+ atom. In the eighteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the twentieth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three Er3+ and one Cd2+ atom. In the twenty-first Se2- site, Se2- is bonded in a distorted trigonal pyramidal geometry to three equivalent Er3+ and one Cd2+ atom. The Se–Cd bond length is 2.70 Å. In the twenty-second Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Er3+ and one Cd2+ atom. In the twenty-third Se2- site, Se2- is bonded to three Er3+ and one Cd2+ atom to form distorted SeEr3Cd trigonal pyramids that share corners with three SeEr4 trigonal pyramids and edges with three SeEr3Cd trigonal pyramids. In the twenty-fourth Se2- site, Se2- is bonded to three equivalent Er3+ and one Cd2+ atom to form distorted edge-sharing SeEr3Cd trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TiZn2O4 by Materials Project

Zn2TiO4 is Spinel-like structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two TiO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two TiO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two TiO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two equivalent TiO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. There are nine inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.08–2.22 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.20 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.23 Å. In the fourth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Zn–O bond distances ranging from 1.98–2.02 Å. In the fifth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are three shorter (2.00 Å) and one longer (2.01 Å) Zn–O bond lengths. In the sixth Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are two shorter (2.00 Å) and two longer (2.01 Å) Zn–O bond lengths. In the seventh Zn2+ site, Zn2+ is bonded to four O2- atoms to form ZnO4 tetrahedra that share corners with six TiO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Zn–O bond distances ranging from 1.98–2.02 Å. In the eighth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.07–2.19 Å. In the ninth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six ZnO4 tetrahedra, edges with two equivalent ZnO6 octahedra, and edges with four TiO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.19 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ti4+ and two Zn2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Zn2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Co7(RuO6)2 by Materials Project

Co7(RuO6)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ru5+ sites. In the first Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CoO4 tetrahedra, an edgeedge with one RuO6 octahedra, and edges with five CoO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.97–2.08 Å. In the second Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CoO4 tetrahedra, an edgeedge with one RuO6 octahedra, and edges with five CoO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.00–2.07 Å. In the third Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CoO4 tetrahedra, an edgeedge with one RuO6 octahedra, and edges with five CoO6 octahedra. There are a spread of Ru–O bond distances ranging from 1.98–2.06 Å. In the fourth Ru5+ site, Ru5+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six CoO4 tetrahedra, an edgeedge with one RuO6 octahedra, and edges with five CoO6 octahedra. There are a spread of Ru–O bond distances ranging from 2.00–2.04 Å. There are fourteen inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four RuO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 48–64°. There are a spread of Co–O bond distances ranging from 1.94–2.03 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with three RuO6 octahedra, and edges with three CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–2.00 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with three RuO6 octahedra, and edges with three CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. In the fourth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four RuO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 46–65°. There are a spread of Co–O bond distances ranging from 1.95–2.04 Å. In the fifth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with three RuO6 octahedra, and edges with three CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.93–1.99 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with two RuO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.00–2.15 Å. In the seventh Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four RuO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There is two shorter (1.95 Å) and two longer (1.98 Å) Co–O bond length. In the eighth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with two RuO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.94–1.97 Å. In the ninth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with three RuO6 octahedra, and edges with three CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.05–2.16 Å. In the tenth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four RuO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 50–67°. There are a spread of Co–O bond distances ranging from 1.95–1.99 Å. In the eleventh Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with two RuO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.01–2.11 Å. In the twelfth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four RuO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 48–65°. There are a spread of Co–O bond distances ranging from 1.94–2.03 Å. In the thirteenth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six CoO4 tetrahedra, edges with two RuO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 2.03–2.13 Å. In the fourteenth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with four RuO6 octahedra and corners with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Co–O bond distances ranging from 1.96–2.00 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Co2+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ru5+ and two Co2+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the fourth O2- site, O2- is bonded to one Ru5+ and three Co2+ atoms to form distorted OCo3Ru trigonal pyramids that share a cornercorner with one OCo4 tetrahedra, corners with four OCo4 trigonal pyramids, and an edgeedge with one OCo3Ru trigonal pyramid. In the fifth O2- site, O2- is bonded to one Ru5+ and three Co2+ atoms to form distorted OCo3Ru trigonal pyramids that share a cornercorner with one OCo4 tetrahedra, corners with three OCo4 trigonal pyramids, and an edgeedge with one OCo3Ru trigonal pyramid. In the sixth O2- site, O2- is bonded to four Co2+ atoms to form a mixture of distorted edge and corner-sharing OCo4 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the ninth O2- site, O2- is bonded to one Ru5+ and three Co2+ atoms to form distorted OCo3Ru trigonal pyramids that share corners with three OCo3Ru trigonal pyramids, an edgeedge with one OCo4 tetrahedra, and an edgeedge with one OCo3Ru trigonal pyramid. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Co2+ atoms. In the twelfth O2- site, O2- is bonded to one Ru5+ and three Co2+ atoms to form distorted OCo3Ru trigonal pyramids that share a cornercorner with one OCo4 tetrahedra, a cornercorner with one OCo3Ru trigonal pyramid, an edgeedge with one OCo4 tetrahedra, and an edgeedge with one OCo3Ru trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Ru5+ and three Co2+ atoms to form distorted corner-sharing OCo3Ru trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ru5+ and two Co2+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ru5+ and two Co2+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the twenty-first O2- site, O2- is bonded to four Co2+ atoms to form distorted corner-sharing OCo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Ru5+ and two Co2+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ru5+ and three Co2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ga2CoO4 by Materials Project

CoGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.07–2.12 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.08–2.13 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.07–2.13 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are three shorter (2.07 Å) and three longer (2.11 Å) Co–O bond lengths. In the fifth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Co–O bond distances ranging from 1.98–2.01 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.06–2.11 Å. In the seventh Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Co–O bond distances ranging from 1.97–1.99 Å. In the eighth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Co–O bond distances ranging from 1.98–2.00 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Ga–O bond distances ranging from 1.91–1.97 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three CoO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CoO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Ga–O bond distances ranging from 1.88–1.95 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.07 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent CoO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three CoO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.05 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Ga–O bond distances ranging from 1.89–1.97 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CoO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ga–O bond distances ranging from 1.87–1.91 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.09 Å. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is three shorter (1.91 Å) and one longer (1.97 Å) Ga–O bond length. In the eleventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the third O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the tenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the thirteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted OGa3Co trigonal pyramids that share corners with three OGa4 trigonal pyramids and edges with three OGa3Co trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted corner-sharing OGa3Co trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the seventeenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the nineteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted OGa3Co trigonal pyramids that share corners with three OGa4 trigonal pyramids and edges with three OGa3Co trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn5(FeO6)2 by Materials Project

Li2Mn5(FeO6)2 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Li–O bond distances ranging from 2.02–2.12 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Li–O bond distances ranging from 2.03–2.11 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of Li–O bond distances ranging from 2.02–2.12 Å. There are ten inequivalent Mn+3.20+ sites. In the first Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the second Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.24 Å. In the third Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.22 Å. In the fourth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the fifth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the sixth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.21 Å. In the seventh Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.23 Å. In the eighth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.24 Å. In the ninth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.22 Å. In the tenth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. In the second Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–63°. There are a spread of Fe–O bond distances ranging from 1.88–1.95 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent FeO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.09 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of Fe–O bond distances ranging from 1.88–1.95 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mn+3.20+ and two Fe3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mn+3.20+ and two Fe3+ atoms. In the third O2- site, O2- is bonded to one Li1+, two Mn+3.20+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.20+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.20+ atoms to form distorted OLiMn3 tetrahedra that share corners with five OLiMn2Fe tetrahedra and an edgeedge with one OLiMn3 tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.20+ atoms to form OLiMn3 tetrahedra that share corners with five OLiMn2Fe tetrahedra and an edgeedge with one OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn+3.20+ and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+3.20+ and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.20+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.20+, and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.20+, and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.20+, and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mn+3.20+ and two Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Mn+3.20+ and two Fe3+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+3.20+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.20+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Mn+3.20+ atoms to form OLiMn3 tetrahedra that share corners with five OLiMn2Fe tetrahedra and an edgeedge with one OLiMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.20+ atoms to form distorted OLiMn3 tetrahedra that share corners with five OLiMn2Fe tetrahedra and an edgeedge with one OLiMn3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn+3.20+ and one Fe3+ atom. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mn+3.20+ and one Fe3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.20+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.20+, and one Fe3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.20+, and one Fe3+ atom. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.20+, and one Fe3+ atom.

36 MATERIALS SCIENCE↗