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Materials Data on Li4Co7O16 by Materials Project

Li4Co7O16 is beta indium sulfide-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 two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 53–70°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–70°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–71°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six CoO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.16 Å. There are fourteen inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.92 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.94 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.94 Å. In the fifth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.80–1.91 Å. In the sixth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.79–1.92 Å. In the seventh Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Co–O bond distances ranging from 1.81–1.94 Å. In the eighth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.94 Å. In the ninth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.95 Å. In the tenth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.81–1.93 Å. In the eleventh Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five LiO4 tetrahedra, edges with two LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.81–1.93 Å. In the twelfth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.95 Å. In the thirteenth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO4 tetrahedra, corners with four LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.78–1.94 Å. In the fourteenth Co4+ site, Co4+ is bonded to four O2- atoms to form CoO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Co–O bond distances ranging from 1.81–1.94 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLi2Co2 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form a mixture of distorted edge and corner-sharing OLi2Co2 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co4+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted corner-sharing OLiCo3 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Co4+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Co4+ atoms. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted corner-sharing OLiCo3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Co4+ atoms. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with three OLi2Co2 trigonal pyramids, and edges with three OLiCo3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with four OLi2Co2 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLiCo3 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLi2Co2 trigonal pyramids, and edges with three OLi2Co2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra and corners with six OLi2Co2 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the twenty-first O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLiCo3 trigonal pyramids, and edges with two OCo4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Co4+ atoms to form distorted OCo4 trigonal pyramids that share corners with five OLiCo3 trigonal pyramids and edges with two OLi2Co2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLi2Co2 trigonal pyramids, and edges with two OCo4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-sixth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLiCo3 trigonal pyramids, and edges with two OLi2Co2 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to four Co4+ atoms to form distorted OCo4 trigonal pyramids that share corners with five OLiCo3 trigonal pyramids and edges with two OLi2Co2 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLi2Co2 trigonal pyramids, and edges with two OCo4 trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Co4+ atoms. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra and corners with six OLi2Co2 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to two Li1+ and two Co4+ atoms to form distorted OLi2Co2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with seven OLi2Co2 trigonal pyramids,

36 MATERIALS SCIENCE↗

Materials Data on Li4Co13O28 by Materials Project

Li4Co13O28 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 six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.10–2.29 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 10–18°. There are a spread of Li–O bond distances ranging from 2.08–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 8–15°. There are a spread of Li–O bond distances ranging from 2.09–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 10–19°. There are a spread of Li–O bond distances ranging from 2.07–2.28 Å. There are thirteen inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 11–17°. There are a spread of Co–O bond distances ranging from 1.79–1.97 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with three LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Co–O bond distances ranging from 1.85–1.91 Å. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 12–14°. There are a spread of Co–O bond distances ranging from 1.78–1.94 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 12–17°. There are a spread of Co–O bond distances ranging from 1.85–1.94 Å. In the fifth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share edges with two LiO6 octahedra and edges with six CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the sixth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with two LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are a spread of Co–O bond distances ranging from 1.83–1.91 Å. In the seventh Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with two LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 14–15°. There are a spread of Co–O bond distances ranging from 1.90–1.94 Å. In the eighth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent LiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 11–14°. There are a spread of Co–O bond distances ranging from 1.80–1.96 Å. In the ninth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra and edges with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 10°. There are a spread of Co–O bond distances ranging from 1.86–1.92 Å. In the tenth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with two LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 16–18°. There are a spread of Co–O bond distances ranging from 1.85–1.92 Å. In the eleventh Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two LiO6 octahedra, edges with two LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 10–12°. There are a spread of Co–O bond distances ranging from 1.81–1.96 Å. In the twelfth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, edges with two LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 15°. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the thirteenth Co4+ site, Co4+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three LiO6 octahedra, edges with two LiO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 9–19°. There are a spread of Co–O bond distances ranging from 1.81–1.93 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Co4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form OLiCo3 trigonal pyramids that share edges with two OLi2Co3 square pyramids and an edgeedge with one OLiCo3 trigonal pyramid. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co4+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co4+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the ninth O2- site, O2- is bonded to two Li1+ and three Co4+ atoms to form OLi2Co3 square pyramids that share a cornercorner with one OLi2Co3 square pyramid and edges with two OLiCo3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co4+ atoms. In the fourteenth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Co4+ atoms. In the fifteenth O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Co4+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Co4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Co4+ atoms. In the twentieth O2- site, O2- is bonded to two Li1+ and three Co4+ atoms to form OLi2Co3 square pyramids that share a cornercorner with one OLi2Co3 square pyramid, a cornercorner with one OLiCo3 trigonal pyramid, and an edgeedge with one OLiCo3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Co4+ atoms. In the twenty-second O2- site, O2- is bonded in a T-shaped geometry to one Li1+ and two Co4+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Co4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Co4+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Co4+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLi2Co3 square pyramid, an edgeedge with one OLi2Co3 square pyramid, and an edgeedge with one OLiCo3 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Co4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li5Fe5O12 by Materials Project

Li5Fe5O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li sites. In the first Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.00–2.14 Å. In the second Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.01–2.13 Å. In the third Li site, Li is bonded to six O atoms to form LiO6 octahedra that share edges with six FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the fourth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.02–2.10 Å. In the fifth Li site, Li is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 2.02–2.10 Å. There are five inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.11 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share edges with three equivalent LiO6 octahedra and edges with three equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.03 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share edges with three equivalent LiO6 octahedra and edges with three equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.90–2.04 Å. In the fourth Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.11 Å. In the fifth Fe site, Fe is bonded to six O atoms to form edge-sharing FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.10 Å. There are twelve inequivalent O sites. In the first O site, O is bonded to three Li and two Fe atoms to form a mixture of edge and corner-sharing OLi3Fe2 trigonal bipyramids. In the second O site, O is bonded to three Li and two Fe atoms to form a mixture of edge and corner-sharing OLi3Fe2 trigonal bipyramids. In the third O site, O is bonded to two Li and three Fe atoms to form distorted OLi2Fe3 trigonal bipyramids that share corners with five OLi2Fe3 trigonal bipyramids and edges with five OLi3Fe2 trigonal bipyramids. In the fourth O site, O is bonded to two Li and three Fe atoms to form distorted OLi2Fe3 trigonal bipyramids that share corners with five OLi3Fe2 trigonal bipyramids and edges with five OLi2Fe3 trigonal bipyramids. In the fifth O site, O is bonded to two Li and three Fe atoms to form distorted OLi2Fe3 trigonal bipyramids that share corners with five OLi2Fe3 trigonal bipyramids and edges with five OLi3Fe2 trigonal bipyramids. In the sixth O site, O is bonded in a distorted T-shaped geometry to three Fe atoms. In the seventh O site, O is bonded to two Li and three Fe atoms to form distorted OLi2Fe3 trigonal bipyramids that share corners with five OLi3Fe2 trigonal bipyramids and edges with five OLi2Fe3 trigonal bipyramids. In the eighth O site, O is bonded to three Li and two Fe atoms to form a mixture of edge and corner-sharing OLi3Fe2 trigonal bipyramids. In the ninth O site, O is bonded in a distorted T-shaped geometry to one Li and two Fe atoms. In the tenth O site, O is bonded to three Li and two Fe atoms to form a mixture of edge and corner-sharing OLi3Fe2 trigonal bipyramids. In the eleventh O site, O is bonded in a distorted T-shaped geometry to one Li and two Fe atoms. In the twelfth O site, O is bonded in a distorted T-shaped geometry to three Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiZn2Fe9O16 by Materials Project

LiFe9Zn2O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one ZnO6 octahedra and corners with eleven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve FeO6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. There are eighteen inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with four ZnO6 octahedra and corners with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.96 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.09 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six FeO4 tetrahedra, edges with two equivalent FeO6 octahedra, and edges with four ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.04–2.09 Å. In the fourth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with five ZnO6 octahedra and corners with seven FeO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Fe–O bond distances ranging from 1.91–1.96 Å. In the fifth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Fe–O bond distances ranging from 1.90–1.97 Å. In the sixth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with six FeO6 octahedra and corners with six ZnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–60°. There are a spread of Fe–O bond distances ranging from 1.93–1.97 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.11 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, edges with three FeO6 octahedra, and edges with three ZnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.10 Å. In the ninth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.13 Å. In the tenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.14 Å. In the eleventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.13 Å. In the twelfth Fe3+ site, Fe3+ is bonded to four O2- atoms to form FeO4 tetrahedra that share corners with two equivalent ZnO6 octahedra and corners with ten FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. In the thirteenth Fe3+ site, Fe3+ is bonded to four O2- atoms to form corner-sharing FeO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Fe–O bond distances ranging from 1.94–1.97 Å. In the fourteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the fifteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three LiO4 tetrahedra, corners with three FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the sixteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the seventeenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent FeO4 tetrahedra, and edges with six FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.10 Å. In the eighteenth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO4 tetrahedra, corners with four FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.10 Å. There are four inequivalent Zn2+ sites. In the first Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.09–2.15 Å. In the second Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.11–2.16 Å. In the third Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share corners with six FeO4 tetrahedra, edges with two ZnO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.10–2.18 Å. In the fourth Zn2+ site, Zn2+ is bonded to six O2- atoms to form ZnO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with five FeO4 tetrahedra, an edgeedge with one ZnO6 octahedra, and edges with five FeO6 octahedra. There are a spread of Zn–O bond distances ranging from 2.05–2.16 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Fe3+, and one Zn2+ atom. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Fe3+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Fe3+ and two Zn2+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-third O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Fe3+ atoms to form distorted edge-sharing OFe4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Fe3+ atoms to form distorted OFe4 trigonal pyramids that share corners with eight OFe4 trigonal pyramids and an edgeedge with one OZnFe3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Fe3+ and one Zn2+ atom. In the twenty-seventh O2- site, O2- is bonded to four Fe3+ atoms to form a mixture of distorted edge and corner-sharing OFe4 trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to three Fe3+ and one Zn2+ atom to form distorted OZnFe3 trigonal pyramids that share corners with four OLiFe3 trigonal pyramids and an edgeedge with one OFe4 trigonal pyramid. In the twenty-ninth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with seven OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with eight OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to one Li1+ and three Fe3+ atoms to form distorted OLiFe3 trigonal pyramids that share corners with seven OFe4 trigonal pyramids and edges with two OLiFe3 trigonal pyramids. In the thirty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Er2Bi2O7 by Materials Project

Er2Bi2O7 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded to seven O2- atoms to form distorted ErO7 pentagonal bipyramids that share corners with three BiO5 trigonal bipyramids, edges with five ErO7 pentagonal bipyramids, and edges with three BiO5 trigonal bipyramids. There are a spread of Er–O bond distances ranging from 2.20–2.45 Å. In the second Er3+ site, Er3+ is bonded to seven O2- atoms to form distorted ErO7 pentagonal bipyramids that share corners with three BiO5 trigonal bipyramids, edges with five ErO7 pentagonal bipyramids, and edges with three BiO5 trigonal bipyramids. There are a spread of Er–O bond distances ranging from 2.21–2.44 Å. In the third Er3+ site, Er3+ is bonded to seven O2- atoms to form distorted ErO7 pentagonal bipyramids that share corners with three BiO5 trigonal bipyramids, edges with five ErO7 pentagonal bipyramids, and edges with three BiO5 trigonal bipyramids. There are a spread of Er–O bond distances ranging from 2.21–2.44 Å. In the fourth Er3+ site, Er3+ is bonded to seven O2- atoms to form distorted ErO7 pentagonal bipyramids that share corners with three BiO5 trigonal bipyramids, edges with five ErO7 pentagonal bipyramids, and edges with three BiO5 trigonal bipyramids. There are a spread of Er–O bond distances ranging from 2.19–2.45 Å. There are four inequivalent Bi4+ sites. In the first Bi4+ site, Bi4+ is bonded to five O2- atoms to form distorted BiO5 trigonal bipyramids that share corners with three ErO7 pentagonal bipyramids, a cornercorner with one BiO5 trigonal bipyramid, edges with three ErO7 pentagonal bipyramids, and an edgeedge with one BiO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.18–2.45 Å. In the second Bi4+ site, Bi4+ is bonded to five O2- atoms to form distorted BiO5 trigonal bipyramids that share corners with three ErO7 pentagonal bipyramids, a cornercorner with one BiO5 trigonal bipyramid, edges with three ErO7 pentagonal bipyramids, and an edgeedge with one BiO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.08–2.26 Å. In the third Bi4+ site, Bi4+ is bonded to five O2- atoms to form distorted BiO5 trigonal bipyramids that share corners with three ErO7 pentagonal bipyramids, a cornercorner with one BiO5 trigonal bipyramid, edges with three ErO7 pentagonal bipyramids, and an edgeedge with one BiO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.15–2.38 Å. In the fourth Bi4+ site, Bi4+ is bonded to five O2- atoms to form distorted BiO5 trigonal bipyramids that share corners with three ErO7 pentagonal bipyramids, a cornercorner with one BiO5 trigonal bipyramid, edges with three ErO7 pentagonal bipyramids, and an edgeedge with one BiO5 trigonal bipyramid. There are a spread of Bi–O bond distances ranging from 2.11–2.32 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Er3+ and two Bi4+ atoms to form a mixture of distorted edge and corner-sharing OEr2Bi2 trigonal pyramids. In the second O2- site, O2- is bonded to three Er3+ and one Bi4+ atom to form a mixture of distorted edge and corner-sharing OEr3Bi tetrahedra. In the third O2- site, O2- is bonded to two Er3+ and two Bi4+ atoms to form distorted OEr2Bi2 tetrahedra that share corners with four OEr3Bi tetrahedra, edges with three OEr3Bi tetrahedra, and an edgeedge with one OEr2Bi2 trigonal pyramid. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to two Er3+ and one Bi4+ atom. In the fifth O2- site, O2- is bonded to three Er3+ and one Bi4+ atom to form distorted OEr3Bi tetrahedra that share corners with six OEr3Bi tetrahedra, edges with three OEr2Bi2 tetrahedra, and an edgeedge with one OEr2Bi2 trigonal pyramid. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to two Er3+ and one Bi4+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Bi4+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Bi4+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to two Er3+ and one Bi4+ atom. In the tenth O2- site, O2- is bonded to three Er3+ and one Bi4+ atom to form distorted OEr3Bi tetrahedra that share corners with five OEr3Bi tetrahedra, a cornercorner with one OEr2Bi2 trigonal pyramid, edges with three OEr3Bi tetrahedra, and an edgeedge with one OEr2Bi2 trigonal pyramid. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to two Er3+ and one Bi4+ atom. In the twelfth O2- site, O2- is bonded to two Er3+ and two Bi4+ atoms to form distorted OEr2Bi2 tetrahedra that share corners with four OEr2Bi2 tetrahedra and edges with four OEr3Bi tetrahedra. In the thirteenth O2- site, O2- is bonded to three Er3+ and one Bi4+ atom to form distorted OEr3Bi tetrahedra that share corners with five OEr3Bi tetrahedra, a cornercorner with one OEr2Bi2 trigonal pyramid, and edges with four OEr2Bi2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Er3+ and two Bi4+ atoms to form distorted OEr2Bi2 tetrahedra that share corners with two OEr3Bi tetrahedra, corners with two equivalent OEr2Bi2 trigonal pyramids, and edges with four OEr3Bi tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn5Fe(BO3)6 by Materials Project

Li6Mn5Fe(BO3)6 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six MnO5 trigonal bipyramids. There is one shorter (1.97 Å) and three longer (2.01 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are two shorter (2.00 Å) and two longer (2.02 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.01 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO4 tetrahedra, a cornercorner with one FeO5 trigonal bipyramid, and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, corners with two equivalent FeO5 trigonal bipyramids, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra and corners with six MnO5 trigonal bipyramids. There is one shorter (1.97 Å) and three longer (2.01 Å) Li–O bond length. There are five inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are one shorter (2.11 Å) and four longer (2.19 Å) Mn–O bond lengths. In the second Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the third Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the fourth Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.11–2.20 Å. In the fifth Mn2+ site, Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.11–2.20 Å. Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one FeO5 trigonal bipyramid. There are a spread of Fe–O bond distances ranging from 2.04–2.19 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the second O2- site, O2- is bonded to two Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with nine OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two equivalent Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the sixth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the seventh O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with eleven OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with eleven OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with nine OLiMnFeB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the twelfth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Mn2+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the nineteenth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with nine OLi2MnB tetrahedra and an edgeedge with one OLiMn2B tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Fe2+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the twenty-third O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two equivalent Mn2+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li6MnFe5(BO3)6 by Materials Project

Li6MnFe5(BO3)6 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and corners with five FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. Mn2+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are one shorter (2.10 Å) and four longer (2.18 Å) Mn–O bond lengths. There are five inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the second Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the third Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the fourth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. In the fifth Fe2+ site, Fe2+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share corners with six LiO4 tetrahedra and edges with two equivalent MnO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 2.03–2.17 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the second O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the third O2- site, O2- is bonded to one Li1+, one Mn2+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLiMnFeB tetrahedra. In the fourth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the fifth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the sixth O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+, two Fe2+, and one B3+ atom to form distorted corner-sharing OLiFe2B tetrahedra. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom. In the ninth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the tenth O2- site, O2- is bonded to two equivalent Li1+, one Fe2+, and one B3+ atom to form distorted corner-sharing OLi2FeB tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Mn2+, one Fe2+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe2+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn2Co5O12 by Materials Project

Li4Mn2Co5O12 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 2.00–2.34 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two LiO6 octahedra, edges with two MnO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 2.06–2.25 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Li–O bond distances ranging from 2.03–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with four LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. There are two inequivalent Mn+4.50+ sites. In the first Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the second Mn+4.50+ site, Mn+4.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, and edges with eight CoO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. There are five inequivalent Co+2.20+ sites. In the first Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 5–15°. There are a spread of Co–O bond distances ranging from 1.97–2.10 Å. In the second Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with two CoO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–13°. There are a spread of Co–O bond distances ranging from 1.91–2.01 Å. In the third Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Co–O bond distances ranging from 2.02–2.17 Å. In the fourth Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two CoO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent MnO6 octahedra, and edges with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Co–O bond distances ranging from 2.03–2.16 Å. In the fifth Co+2.20+ site, Co+2.20+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two MnO6 octahedra, corners with three CoO6 octahedra, edges with two MnO6 octahedra, edges with three CoO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Co–O bond distances ranging from 2.03–2.20 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi2MnCo2 square pyramids that share corners with three OLi3MnCo2 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi3MnCo2 octahedra, and edges with two OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 1–10°. In the second O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLiMnCo3 square pyramids that share corners with three OLi2MnCo3 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with two OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 4–11°. In the third O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi2MnCo2 square pyramids that share corners with three OLi3MnCo2 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with two OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 4–10°. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLiMnCo3 square pyramids that share corners with three OLi2MnCo3 octahedra, corners with six OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with two OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–8°. In the fifth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLi2MnCo3 octahedra that share corners with three OLi3MnCo2 octahedra, corners with three OLi2MnCo2 square pyramids, edges with six OLi3MnCo2 octahedra, and edges with six OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi3MnCo2 octahedra that share corners with three OLi2MnCo3 octahedra, corners with three OLiMnCo3 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with six OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 3–7°. In the seventh O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi3MnCo2 octahedra that share corners with three OLi3MnCo2 octahedra, corners with three OLi2MnCo2 square pyramids, edges with seven OLi2MnCo3 octahedra, and edges with five OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 5–10°. In the eighth O2- site, O2- is bonded to three Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi3MnCo2 octahedra that share corners with three OLi2MnCo3 octahedra, corners with three OLiMnCo3 square pyramids, edges with six OLi3MnCo2 octahedra, and edges with six OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 5–7°. In the ninth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLi2MnCo3 octahedra that share corners with three OLi2MnCo3 octahedra, corners with three OLiMnCo3 square pyramids, edges with seven OLi2MnCo3 octahedra, and edges with five OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–10°. In the tenth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLi2MnCo3 octahedra that share corners with three OLi3MnCo2 octahedra, corners with three OLi2MnCo2 square pyramids, edges with six OLi2MnCo3 octahedra, and edges with six OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 2–5°. In the eleventh O2- site, O2- is bonded to one Li1+, one Mn+4.50+, and three Co+2.20+ atoms to form OLiMnCo3 square pyramids that share corners with three OLi3MnCo2 octahedra, corners with six OLi2MnCo2 square pyramids, edges with five OLi2MnCo3 octahedra, and edges with three OLi2MnCo2 square pyramids. The corner-sharing octahedra tilt angles range from 5–8°. In the twelfth O2- site, O2- is bonded to two Li1+, one Mn+4.50+, and two Co+2.20+ atoms to form OLi2MnCo2 square pyramids that share corners with three OLi2MnCo3 octahedra, corners with six OLi2MnCo2 square pyramids, edges with five OLi3MnCo2 octahedra, and edges with three OLiMnCo3 square pyramids. The corner-sharing octahedra tilt angles range from 4–5°.

36 MATERIALS SCIENCE↗

Materials Data on Li3Fe8(BO3)8 by Materials Project

Li3Fe8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.70 Å. In the second Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with three FeO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.56 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.21 Å. There are eight inequivalent Fe+2.62+ sites. In the first Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.88–2.08 Å. In the second Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.09 Å. In the third Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.21 Å. In the fourth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share a cornercorner with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.21 Å. In the fifth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted FeO5 trigonal bipyramids that share an edgeedge with one LiO5 trigonal bipyramid and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.99–2.22 Å. In the sixth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form distorted edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.97–2.20 Å. In the seventh Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form FeO5 trigonal bipyramids that share corners with two equivalent LiO5 trigonal bipyramids and edges with two FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.91–2.13 Å. In the eighth Fe+2.62+ site, Fe+2.62+ is bonded to five O2- atoms to form edge-sharing FeO5 trigonal bipyramids. There are a spread of Fe–O bond distances ranging from 1.87–2.17 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.39 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.34 Å) and two longer (1.41 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.39 Å) B–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Fe+2.62+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe+2.62+ and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe+2.62+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe+2.62+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Fe+2.62+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe+2.62+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Fe+2.62+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3La14(CuO7)4 by Materials Project

Li3La14(CuO7)4 is (La,Ba)CuO4-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Li–O bond distances ranging from 1.91–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Li–O bond distances ranging from 1.91–2.37 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four CuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Li–O bond distances ranging from 1.90–2.37 Å. There are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.73 Å. In the second La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.30–2.74 Å. In the third La3+ site, La3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.73 Å. In the fourth La3+ site, La3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.33–2.74 Å. In the fifth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.37–2.75 Å. In the sixth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.73 Å. In the seventh La3+ site, La3+ is bonded in a 1-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.32–2.74 Å. In the eighth La3+ site, La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.39–2.72 Å. There are five inequivalent Cu+2.75+ sites. In the first Cu+2.75+ site, Cu+2.75+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Cu–O bond distances ranging from 1.84–2.44 Å. In the second Cu+2.75+ site, Cu+2.75+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one CuO6 octahedra and corners with three LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Cu–O bond distances ranging from 1.84–2.44 Å. In the third Cu+2.75+ site, Cu+2.75+ is bonded to six O2- atoms to form corner-sharing CuO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.92 Å) and two longer (2.36 Å) Cu–O bond lengths. In the fourth Cu+2.75+ site, Cu+2.75+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with four LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.83 Å) and two longer (2.44 Å) Cu–O bond lengths. In the fifth Cu+2.75+ site, Cu+2.75+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four LiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.83 Å) and two longer (2.45 Å) Cu–O bond lengths. There are twenty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the fourth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the fifth O2- site, O2- is bonded to one Li1+ and five La3+ atoms to form distorted OLiLa5 octahedra that share corners with seven OLa4Cu2 octahedra and edges with two OLiLa5 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the sixth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the seventh O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the eighth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the ninth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the tenth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.75+ atom. In the twelfth O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.75+ atom. In the thirteenth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the fourteenth O2- site, O2- is bonded to four La3+ and two Cu+2.75+ atoms to form a mixture of distorted face and corner-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the fifteenth O2- site, O2- is bonded to four La3+ and two Cu+2.75+ atoms to form a mixture of distorted face and corner-sharing OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the sixteenth O2- site, O2- is bonded to one Li1+ and five La3+ atoms to form distorted OLiLa5 octahedra that share corners with seven OLa4Cu2 octahedra and edges with two OLiLa5 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the seventeenth O2- site, O2- is bonded to one Li1+ and five La3+ atoms to form distorted OLiLa5 octahedra that share corners with seven OLa4Cu2 octahedra and edges with two OLa5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–47°. In the eighteenth O2- site, O2- is bonded to five La3+ and one Cu+2.75+ atom to form distorted OLa5Cu octahedra that share corners with five OLiLa5 octahedra, edges with two equivalent OLiLa5 octahedra, and faces with four OLa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–23°. In the nineteenth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to one Li1+, four La3+, and one Cu+2.75+ atom. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.75+ atom. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to five La3+ and one Cu+2.75+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe5(CoO6)2 by Materials Project

Li4Fe5(CoO6)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three FeO6 octahedra, edges with two CoO6 octahedra, edges with three LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–15°. There are a spread of Li–O bond distances ranging from 1.98–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three FeO6 octahedra, edges with two LiO6 octahedra, edges with two CoO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Li–O bond distances ranging from 2.01–2.36 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Li–O bond distances ranging from 2.07–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three FeO6 octahedra, edges with two CoO6 octahedra, edges with four LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. There are five inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Fe–O bond distances ranging from 2.03–2.10 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with two FeO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–14°. There are a spread of Fe–O bond distances ranging from 2.00–2.10 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three FeO6 octahedra, edges with two CoO6 octahedra, edges with three FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Fe–O bond distances ranging from 1.95–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, edges with three equivalent CoO6 octahedra, and edges with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Fe–O bond distances ranging from 2.02–2.11 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with two CoO6 octahedra, corners with three FeO6 octahedra, edges with two CoO6 octahedra, edges with three FeO6 octahedra, and edges with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Fe–O bond distances ranging from 1.96–2.18 Å. There are two inequivalent Co+2.50+ sites. In the first Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Co–O bond distances ranging from 1.90–2.34 Å. In the second Co+2.50+ site, Co+2.50+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, edges with three LiO6 octahedra, and edges with eight FeO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Co–O bond distances ranging from 2.07–2.29 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, two Fe3+, and one Co+2.50+ atom to form OLi2Fe2Co square pyramids that share corners with three OLi3Fe2Co octahedra, corners with six OLi2Fe2Co square pyramids, edges with six OLi3Fe2Co octahedra, and edges with two OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 6–12°. In the second O2- site, O2- is bonded to one Li1+, three Fe3+, and one Co+2.50+ atom to form OLiFe3Co square pyramids that share corners with three OLi2Fe3Co octahedra, corners with six OLi2Fe2Co square pyramids, edges with six OLi2Fe3Co octahedra, and edges with two OLiFe3Co square pyramids. The corner-sharing octahedra tilt angles range from 5–6°. In the third O2- site, O2- is bonded to one Li1+, three Fe3+, and one Co+2.50+ atom to form OLiFe3Co square pyramids that share corners with three OLi2Fe3Co octahedra, corners with six OLi2Fe2Co square pyramids, edges with six OLi3Fe2Co octahedra, and edges with two OLiFe3Co square pyramids. The corner-sharing octahedra tilt angles range from 4–9°. In the fourth O2- site, O2- is bonded to two Li1+, two Fe3+, and one Co+2.50+ atom to form OLi2Fe2Co square pyramids that share corners with three OLi3Fe2Co octahedra, corners with six OLi2Fe2Co square pyramids, edges with six OLi3Fe2Co octahedra, and edges with two OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 7–14°. In the fifth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.50+ atom to form OLi3Fe2Co octahedra that share corners with three OLi2Fe3Co octahedra, corners with three OLiFe3Co square pyramids, edges with six OLi2Fe3Co octahedra, and edges with six OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the sixth O2- site, O2- is bonded to two Li1+, three Fe3+, and one Co+2.50+ atom to form OLi2Fe3Co octahedra that share corners with three OLi3Fe2Co octahedra, corners with three OLi2Fe2Co square pyramids, edges with six OLi3Fe2Co octahedra, and edges with six OLiFe3Co square pyramids. The corner-sharing octahedra tilt angles range from 3–8°. In the seventh O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.50+ atom to form distorted OLi3Fe2Co octahedra that share corners with three OLi2Fe3Co octahedra, corners with three OLiFe3Co square pyramids, edges with six OLi3Fe2Co octahedra, and edges with six OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 6–8°. In the eighth O2- site, O2- is bonded to three Li1+, two Fe3+, and one Co+2.50+ atom to form OLi3Fe2Co octahedra that share corners with three OLi3Fe2Co octahedra, corners with three OLi2Fe2Co square pyramids, edges with seven OLi3Fe2Co octahedra, and edges with five OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 1–6°. In the ninth O2- site, O2- is bonded to two Li1+, three Fe3+, and one Co+2.50+ atom to form OLi2Fe3Co octahedra that share corners with three OLi2Fe3Co octahedra, corners with three OLiFe3Co square pyramids, edges with seven OLi3Fe2Co octahedra, and edges with five OLiFe3Co square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the tenth O2- site, O2- is bonded to two Li1+, three Fe3+, and one Co+2.50+ atom to form OLi2Fe3Co octahedra that share corners with three OLi3Fe2Co octahedra, corners with three OLi2Fe2Co square pyramids, edges with six OLi2Fe3Co octahedra, and edges with six OLiFe3Co square pyramids. The corner-sharing octahedra tilt angles range from 6–8°. In the eleventh O2- site, O2- is bonded to two Li1+, two Fe3+, and one Co+2.50+ atom to form OLi2Fe2Co square pyramids that share corners with three OLi2Fe3Co octahedra, corners with six OLi2Fe2Co square pyramids, edges with five OLi3Fe2Co octahedra, and edges with three OLiFe3Co square pyramids. The corner-sharing octahedra tilt angles range from 2–7°. In the twelfth O2- site, O2- is bonded to one Li1+, three Fe3+, and one Co+2.50+ atom to form OLiFe3Co square pyramids that share corners with three OLi3Fe2Co octahedra, corners with six OLi2Fe2Co square pyramids, edges with five OLi2Fe3Co octahedra, and edges with three OLi2Fe2Co square pyramids. The corner-sharing octahedra tilt angles range from 3–13°.

36 MATERIALS SCIENCE↗

Materials Data on K11Mn4O16 by Materials Project

K11Mn4O16 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are two shorter (2.81 Å) and three longer (2.83 Å) K–O bond lengths. In the second K1+ site, K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.94–3.02 Å. In the third K1+ site, K1+ is bonded in a 4-coordinate geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.70–3.17 Å. In the fourth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.64–2.79 Å. In the fifth K1+ site, K1+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of K–O bond distances ranging from 2.97–2.99 Å. In the sixth K1+ site, K1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of K–O bond distances ranging from 2.64–2.81 Å. In the seventh K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.80–2.84 Å. In the eighth K1+ site, K1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of K–O bond distances ranging from 2.80–2.83 Å. There are three inequivalent Mn+5.25+ sites. In the first Mn+5.25+ site, Mn+5.25+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.69–1.71 Å. In the second Mn+5.25+ site, Mn+5.25+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.70–1.72 Å. In the third Mn+5.25+ site, Mn+5.25+ is bonded in a tetrahedral geometry to four O2- atoms. There is one shorter (1.70 Å) and three longer (1.72 Å) Mn–O bond length. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one Mn+5.25+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom. In the fourth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one Mn+5.25+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to three K1+ and one Mn+5.25+ atom. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom. In the ninth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to five K1+ and one Mn+5.25+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li9(NiO4)2 by Materials Project

Li9(NiO4)2 is Aluminum carbonitride-like structured and crystallizes in the orthorhombic Pca2_1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two equivalent NiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the 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 1.97–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four NiO4 tetrahedra, corners with three LiO4 trigonal pyramids, and edges with two LiO4 trigonal pyramids. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with two equivalent NiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one NiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.96–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two equivalent NiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, an edgeedge with one NiO4 tetrahedra, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.88–2.14 Å. In the sixth 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 1.96–2.09 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO4 tetrahedra, corners with four NiO4 tetrahedra, corners with three LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two NiO4 tetrahedra, corners with three LiO4 tetrahedra, corners with five LiO4 trigonal pyramids, an edgeedge with one NiO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.95–2.07 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two equivalent NiO4 tetrahedra, corners with seven LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, an edgeedge with one NiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. There are two inequivalent Ni+3.50+ sites. In the first Ni+3.50+ site, Ni+3.50+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with seven LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two LiO4 trigonal pyramids. There are a spread of Ni–O bond distances ranging from 1.81–1.86 Å. In the second Ni+3.50+ site, Ni+3.50+ is bonded to four O2- atoms to form NiO4 tetrahedra that share corners with five LiO4 tetrahedra, corners with four LiO4 trigonal pyramids, edges with two LiO4 tetrahedra, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ni–O bond distances ranging from 1.79–1.90 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to five Li1+ and one Ni+3.50+ atom to form distorted OLi5Ni octahedra that share corners with three OLi5Ni octahedra, corners with three OLi4Ni trigonal bipyramids, edges with five OLi5Ni octahedra, and an edgeedge with one OLi4Ni trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–59°. In the second O2- site, O2- is bonded to five Li1+ and one Ni+3.50+ atom to form OLi5Ni octahedra that share corners with three OLi5Ni octahedra, corners with three OLi4Ni trigonal bipyramids, edges with five OLi5Ni octahedra, and an edgeedge with one OLi4Ni trigonal bipyramid. The corner-sharing octahedra tilt angles range from 53–59°. In the third O2- site, O2- is bonded to five Li1+ and one Ni+3.50+ atom to form distorted OLi5Ni octahedra that share corners with three OLi5Ni octahedra, a cornercorner with one OLi4Ni square pyramid, corners with two OLi4Ni trigonal bipyramids, edges with three OLi5Ni octahedra, an edgeedge with one OLi4Ni square pyramid, and edges with two OLi4Ni trigonal bipyramids. The corner-sharing octahedra tilt angles range from 59–60°. In the fourth O2- site, O2- is bonded to four Li1+ and one Ni+3.50+ atom to form distorted OLi4Ni trigonal bipyramids that share corners with five OLi5Ni octahedra, a cornercorner with one OLi4Ni square pyramid, corners with three OLi4Ni trigonal bipyramids, an edgeedge with one OLi5Ni octahedra, an edgeedge with one OLi4Ni square pyramid, and an edgeedge with one OLi4Ni trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–65°. In the fifth O2- site, O2- is bonded to four Li1+ and one Ni+3.50+ atom to form distorted OLi4Ni square pyramids that share corners with three OLi5Ni octahedra, corners with two OLi4Ni trigonal bipyramids, an edgeedge with one OLi5Ni octahedra, and edges with four OLi4Ni trigonal bipyramids. The corner-sharing octahedra tilt angles range from 45–53°. In the sixth O2- site, O2- is bonded to four Li1+ and one Ni+3.50+ atom to form OLi4Ni trigonal bipyramids that share corners with three OLi5Ni octahedra, a cornercorner with one OLi4Ni square pyramid, corners with three OLi4Ni trigonal bipyramids, an edgeedge with one OLi5Ni octahedra, edges with two equivalent OLi4Ni square pyramids, and an edgeedge with one OLi4Ni trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–63°. In the seventh O2- site, O2- is bonded to four Li1+ and one Ni+3.50+ atom to form distorted OLi4Ni trigonal bipyramids that share corners with three OLi5Ni octahedra, corners with four OLi4Ni trigonal bipyramids, edges with three OLi5Ni octahedra, and an edgeedge with one OLi4Ni square pyramid. The corner-sharing octahedra tilt angles range from 57–64°. In the eighth O2- site, O2- is bonded to five Li1+ and one Ni+3.50+ atom to form distorted OLi5Ni octahedra that share a cornercorner with one OLi5Ni octahedra, corners with two equivalent OLi4Ni square pyramids, corners with three OLi4Ni trigonal bipyramids, edges with five OLi5Ni octahedra, and an edgeedge with one OLi4Ni trigonal bipyramid. The corner-sharing octahedral tilt angles are 60°.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form HfN2O4 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are one shorter (2.07 Å) and one longer (2.09 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.12–2.22 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are one shorter (2.13 Å) and two longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.21 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.13 Å) and one longer (2.19 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are one shorter (2.31 Å) and one longer (2.38 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.30 Å. There are one shorter (2.19 Å) and one longer (2.22 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.19 Å. There are one shorter (2.13 Å) and one longer (2.19 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. The Hf–O bond length is 2.28 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are one shorter (2.20 Å) and one longer (2.27 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.23 Å) and one longer (2.31 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. The Hf–O bond length is 2.32 Å. In the eleventh Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are one shorter (2.11 Å) and two longer (2.21 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.35 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.24 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.21 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.24 Å. The Hf–O bond length is 2.23 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.26 Å. The Hf–O bond length is 2.21 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ a

36 MATERIALS SCIENCE↗

Materials Data on Bi24B2O39 by Materials Project

Bi24B2O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.51–1.54 Å. In the second B3+ site, B3+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of B–O bond distances ranging from 1.50–1.56 Å. There are twenty-four inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–3.08 Å. In the second Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–3.08 Å. In the third Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–3.00 Å. In the fourth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–3.06 Å. In the fifth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.24 Å. In the sixth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to three O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.20 Å. In the seventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–3.07 Å. In the eighth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–3.05 Å. In the ninth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.82 Å. In the tenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–3.12 Å. In the eleventh Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.57 Å. In the twelfth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.15–3.07 Å. In the thirteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–3.05 Å. In the fourteenth Bi3+ site, Bi3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–3.05 Å. In the fifteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.72 Å. In the sixteenth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.60 Å. In the seventeenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.75 Å. In the eighteenth Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–3.03 Å. In the nineteenth Bi3+ site, Bi3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.73 Å. In the twentieth Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.16–2.39 Å. In the twenty-first Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to seven O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–3.08 Å. In the twenty-second Bi3+ site, Bi3+ is bonded in a 5-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.11–2.72 Å. In the twenty-third Bi3+ site, Bi3+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.12–2.62 Å. In the twenty-fourth Bi3+ site, Bi3+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Bi–O bond distances ranging from 2.10–2.89 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and three Bi3+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and two Bi3+ atoms. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one B3+ and two Bi3+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to five Bi3+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to five Bi3+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the sixteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and three Bi3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and three Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and three Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to one B3+ and one Bi3+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to three Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to five Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to three Bi3+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to five Bi3+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Bi3+ atoms. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to four Bi3+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted single-bond geometry to one B3+ and two Bi3+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to four Bi3+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to five Bi3+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Bi3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are two shorter (2.11 Å) and one longer (2.22 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.14–2.22 Å. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.23 Å. There are one shorter (2.20 Å) and one longer (2.27 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. Both Hf–O bond lengths are 2.26 Å. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are one shorter (2.07 Å) and two longer (2.10 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.20–2.29 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.26 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.18 Å. There are one shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.19 Å. Both Hf–O bond lengths are 2.16 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are one shorter (2.21 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are one shorter (2.08 Å) and two longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.29 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.26 Å. There are one shorter (2.13 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.14–2.26 Å. The Hf–O bond length is 2.19 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. The Hf–O bond length is 2.26 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.29 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.26 Å. Both Hf–O bond lengths are 2.16 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. The Hf–O bond length is 2.33 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.22 Å) and one longer (2.25 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Hf4+ atoms. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigon

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn8(BO3)8 by Materials Project

Li5Mn8(BO3)8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are five inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Li–O bond distances ranging from 1.98–2.64 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.34 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.94–2.21 Å. There are eight inequivalent Mn+2.38+ sites. In the first Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.22 Å. In the second Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.18 Å. In the third Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.07 Å. In the fourth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO5 trigonal bipyramids, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.05–2.20 Å. In the fifth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.21 Å. In the sixth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.18 Å. In the seventh Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.07 Å. In the eighth Mn+2.38+ site, Mn+2.38+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.18 Å. There are eight inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.40 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.38+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.38+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.38+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.38+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.38+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+2.38+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.38+, and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiV2OF5 by Materials Project

LiV2OF5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to one O2- and four F1- atoms. The Li–O bond length is 1.96 Å. There are a spread of Li–F bond distances ranging from 1.98–2.21 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.94–2.49 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.98 Å. There are a spread of Li–F bond distances ranging from 1.97–2.64 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to two O2- and four F1- atoms. There are one shorter (2.00 Å) and one longer (2.43 Å) Li–O bond lengths. There are a spread of Li–F bond distances ranging from 1.97–2.46 Å. There are eight inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–46°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.95–2.09 Å. In the second V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–42°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.94–2.11 Å. In the third V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 26–43°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.96–2.06 Å. In the fourth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 28–46°. The V–O bond length is 1.88 Å. There are a spread of V–F bond distances ranging from 1.98–2.07 Å. In the fifth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 28–44°. The V–O bond length is 1.85 Å. There are a spread of V–F bond distances ranging from 1.96–2.09 Å. In the sixth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 30–45°. The V–O bond length is 1.86 Å. There are a spread of V–F bond distances ranging from 1.95–2.11 Å. In the seventh V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 30–42°. The V–O bond length is 1.90 Å. There are a spread of V–F bond distances ranging from 1.92–2.13 Å. In the eighth V3+ site, V3+ is bonded to one O2- and five F1- atoms to form corner-sharing VOF5 octahedra. The corner-sharing octahedra tilt angles range from 26–43°. The V–O bond length is 1.87 Å. There are a spread of V–F bond distances ranging from 1.97–2.06 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two V3+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. There are twenty inequivalent F1- sites. In the first F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the fourth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two V3+ atoms. In the fifth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the sixth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the seventh F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the eighth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the thirteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the fourteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the fifteenth F1- site, F1- is bonded in a 4-coordinate geometry to two Li1+ and two V3+ atoms. In the sixteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two V3+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two V3+ atoms. In the eighteenth F1- site, F1- is bonded in a T-shaped geometry to one Li1+ and two V3+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two V3+ atoms. In the twentieth F1- site, F1- is bonded in a 3-coordinate geometry to one Li1+ and two V3+ atoms.

36 MATERIALS SCIENCE↗