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Materials Data on Li7Mn16O32 by Materials Project

Li7Mn16O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–66°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–64°. All Li–O bond lengths are 1.99 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–66°. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. There are sixteen inequivalent Mn+3.56+ sites. In the first Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the second Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.17 Å. In the third Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fourth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the fifth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.01 Å. In the sixth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.17 Å. In the seventh Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the eighth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the ninth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the tenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the eleventh Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.18 Å. In the twelfth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the thirteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the fourteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the fifteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.19 Å. In the sixteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.56+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.56+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the thirtieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.56+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Ti4Co(AsO5)4 by Materials Project

Li2Ti4Co(AsO5)4 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 distorted LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AsO4 tetrahedra, edges with two LiO6 octahedra, and faces with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.01–2.33 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and faces with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.07–2.32 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and edges with two CoO6 octahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Li–O bond distances ranging from 2.03–2.39 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and faces with two TiO6 octahedra. There are a spread of Li–O bond distances ranging from 2.09–2.35 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two LiO6 octahedra, corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Ti–O bond distances ranging from 1.74–2.27 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–61°. There are a spread of Ti–O bond distances ranging from 1.77–2.22 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.72–2.31 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.70–2.35 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Ti–O bond distances ranging from 1.75–2.22 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one CoO6 octahedra, corners with four AsO4 tetrahedra, and faces with two LiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.74–2.25 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.73–2.31 Å. There are two inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, an edgeedge with one LiO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Co–O bond distances ranging from 2.06–2.18 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two TiO6 octahedra, corners with four AsO4 tetrahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Co–O bond distances ranging from 2.07–2.17 Å. There are eight inequivalent As5+ sites. In the first As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the second As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one TiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of As–O bond distances ranging from 1.69–1.73 Å. In the third As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the fourth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of As–O bond distances ranging from 1.69–1.75 Å. In the fifth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one CoO6 octahedra, and corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–54°. There are a spread of As–O bond distances ranging from 1.70–1.73 Å. In the sixth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two LiO6 octahedra, and corners with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–52°. There is two shorter (1.71 Å) and two longer (1.72 Å) As–O bond length. In the seventh As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two TiO6 octahedra, and corners with three LiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of As–O bond distances ranging from 1.71–1.73 Å. In the eighth As5+ site, As5+ is bonded to four O2- atoms to form AsO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three LiO6 octahedra, and corners with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–61°. There are a spread of As–O bond distances ranging from 1.70–1.75 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Ti4+, and one As5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ti4+, and one Co2+ atom. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one As5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Ti4+, and one Co2+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Co2+, and one As5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Ti4+ and one Co2+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-third O2- site, O2- is bonded in a 1-coordinate geometry to two Ti4+ and one Co2+ atom. In the thirty-fourth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Ti4+, and one As5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, one Co2+, and one As5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+, one Co2+, and one As5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ti4+, and one As5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one As5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CeZr11O24 by Materials Project

CeZr11O24 is Baddeleyite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ce4+ is bonded to seven O2- atoms to form distorted CeO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids and edges with seven ZrO7 pentagonal bipyramids. There are a spread of Ce–O bond distances ranging from 2.17–2.41 Å. There are eleven inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, and edges with seven ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.08–2.31 Å. In the second Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.27 Å. In the third Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.32 Å. In the fourth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.32 Å. In the fifth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids, edges with two equivalent CeO7 pentagonal bipyramids, and edges with five ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.32 Å. In the sixth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share corners with four ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.32 Å. In the seventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.30 Å. In the eighth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.33 Å. In the ninth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form a mixture of distorted corner and edge-sharing ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.09–2.30 Å. In the tenth Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, an edgeedge with one CeO7 pentagonal bipyramid, and edges with six ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.05–2.32 Å. In the eleventh Zr4+ site, Zr4+ is bonded to seven O2- atoms to form distorted ZrO7 pentagonal bipyramids that share a cornercorner with one CeO7 pentagonal bipyramid, corners with three ZrO7 pentagonal bipyramids, and edges with seven ZrO7 pentagonal bipyramids. There are a spread of Zr–O bond distances ranging from 2.07–2.28 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ce4+ and two Zr4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ce4+ and two Zr4+ atoms. In the eighth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the ninth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the tenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form distorted OCeZr3 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the eleventh O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra. In the twelfth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the thirteenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the fourteenth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form a mixture of corner and edge-sharing OCeZr3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Ce4+ and three Zr4+ atoms to form OCeZr3 tetrahedra that share corners with four OZr4 tetrahedra and edges with four OCeZr3 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of distorted corner and edge-sharing OZr4 tetrahedra. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ce4+ and two Zr4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Zr4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the twenty-fourth O2- site, O2- is bonded to four Zr4+ atoms to form a mixture of corner and edge-sharing OZr4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn15O32 by Materials Project

Li6Mn15O32 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–70°. There are a spread of Li–O bond distances ranging from 1.86–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with seven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–69°. There are a spread of Li–O bond distances ranging from 1.85–2.11 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Li–O bond distances ranging from 1.83–2.26 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–75°. There are a spread of Li–O bond distances ranging from 1.81–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–74°. There are a spread of Li–O bond distances ranging from 1.81–2.21 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–70°. There are a spread of Li–O bond distances ranging from 1.82–2.26 Å. There are fifteen inequivalent Mn+3.87+ sites. In the first Mn+3.87+ site, Mn+3.87+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.63–2.23 Å. In the second Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.18 Å. In the third Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.71–2.21 Å. In the fourth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.71–2.19 Å. In the fifth Mn+3.87+ site, Mn+3.87+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.63–2.25 Å. In the sixth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.74–2.20 Å. In the seventh Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.24 Å. In the eighth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.25 Å. In the ninth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.20 Å. In the tenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.70–2.21 Å. In the eleventh Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.69–2.23 Å. In the twelfth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.69–2.16 Å. In the thirteenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.72–2.25 Å. In the fourteenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Mn+3.87+ site, Mn+3.87+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five LiO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.71–2.19 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.87+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.87+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Mn+3.87+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+ and two Mn+3.87+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+ and two Mn+3.87+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+ and two Mn+3.87+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Mn+3.87+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.87+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+ and three Mn+3.87+ atoms. In the twenty-fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.87+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.87+ atoms. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Mn+3.87+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.87+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3CuO8 by Materials Project

Li2Mn3CuO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.14 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.08–2.17 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–68°. There is three shorter (1.98 Å) and one longer (1.99 Å) Li–O bond length. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There is two shorter (1.98 Å) and two longer (1.99 Å) Li–O bond length. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.07–2.12 Å. There are twelve inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.00 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.00 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.00 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.00 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. In the eleventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.00 Å. In the twelfth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three LiO4 tetrahedra, corners with three CuO4 tetrahedra, edges with two LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. There are four inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–71°. There are a spread of Cu–O bond distances ranging from 1.92–2.08 Å. In the second Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Cu–O bond distances ranging from 1.92–2.08 Å. In the third Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Cu–O bond distances ranging from 1.93–2.04 Å. In the fourth Cu2+ site, Cu2+ is bonded to four O2- atoms to form CuO4 tetrahedra that share corners with three LiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Cu–O bond distances ranging from 1.94–2.04 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the fifth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Cu trigonal pyramids. In the sixth O2- site, O2- is bonded to three Mn4+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with five OLiMn3 trigonal pyramids and edges with three OLiMn2Cu trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn4+, and one Cu2+ atom. In the eighth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with five OLiMn3 trigonal pyramids and edges with two OMn3Cu trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Cu trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OMn3Cu trigonal pyramids and edges with three OLiMn2Cu trigonal pyramids. In the eleventh O2- site, O2- is bonded to three Mn4+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with five OLiMn2Cu trigonal pyramids and edges with two OMn3Cu trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Cu trigonal pyramids. In the twenty-second O2- site, O2- is bonded to three Mn4+ and one Cu2+ atom to form a mixture of distorted edge and corner-sharing OMn3Cu trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with five OLiMn2Cu trigonal pyramids and edges with two OMn3Cu trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn4+, and one Cu2+ atom. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OLiMn3 trigonal pyramids and edges with three OLiMn2Cu trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with five OLiMn3 trigonal pyramids and edges with three OLiMn2Cu trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to three Mn4+ and one Cu2+ atom to form distorted OMn3Cu trigonal pyramids that share corners with six OLiMn3 trigonal pyramids and edges with two OLiMn2Cu trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Mn4+, and one Cu2+ atom to form distorted OLiMn2Cu trigonal pyramids that share corners with four OLiMn2Cu trigonal pyramids and edges with two OMn3Cu trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ 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 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 Ti2N2O by Materials Project

Ti2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 pentagonal pyramids that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–N bond distances ranging from 1.92–2.06 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.18 Å. In the second Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 2.00–2.09 Å. There are one shorter (1.99 Å) and one longer (2.08 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are one shorter (2.07 Å) and one longer (2.13 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.13 Å. There are a spread of Ti–O bond distances ranging from 2.00–2.13 Å. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 1.96–2.07 Å. There are a spread of Ti–O bond distances ranging from 1.99–2.11 Å. In the sixth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Ti–N bond distances ranging from 1.99–2.08 Å. There are one shorter (2.08 Å) and one longer (2.09 Å) Ti–O bond lengths. In the seventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with six TiN3O3 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 1.95–2.06 Å. There are one shorter (2.13 Å) and one longer (2.15 Å) Ti–O bond lengths. In the eighth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.12 Å. There are one shorter (2.11 Å) and one longer (2.15 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Ti–N bond distances ranging from 1.94–2.08 Å. There are one shorter (2.10 Å) and one longer (2.16 Å) Ti–O bond lengths. In the tenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–N bond distances ranging from 1.99–2.08 Å. There are one shorter (2.07 Å) and one longer (2.11 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.03–2.09 Å. The Ti–O bond length is 2.09 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (1.98 Å) and one longer (2.10 Å) Ti–O bond lengths. In the fourteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–N bond distances ranging from 2.00–2.07 Å. The Ti–O bond length is 2.14 Å. In the fifteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are one shorter (2.11 Å) and one longer (2.16 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing TiN5O octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Ti–N bond distances ranging from 1.97–2.14 Å. The Ti–O bond length is 2.13 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 tetrahedra, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 tetrahedra, and edges with three NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 tetrahedra, and edges with two NTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 tetrahedra that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one OTi4 trigon

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are one shorter (2.12 Å) and two longer (2.15 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.24–2.27 Å. In the second Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form distorted ZrN2O4 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are one shorter (2.09 Å) and one longer (2.17 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.13–2.23 Å. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Zr–N bond distances ranging from 2.14–2.19 Å. There are a spread of Zr–O bond distances ranging from 2.18–2.24 Å. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN5O octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.31 Å) and one longer (2.38 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Zr–N bond distances ranging from 2.13–2.31 Å. There are one shorter (2.22 Å) and one longer (2.24 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.15–2.23 Å. The Zr–O bond length is 2.33 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Zr–N bond distances ranging from 2.13–2.28 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.24 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are two shorter (2.16 Å) and one longer (2.22 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.22 Å. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.25 Å) and one longer (2.31 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.25 Å) and one longer (2.33 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.16–2.24 Å. The Zr–O bond length is 2.38 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Zr–N bond distances ranging from 2.15–2.21 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.23 Å. There are one shorter (2.24 Å) and one longer (2.33 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.15–2.27 Å. The Zr–O bond length is 2.26 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing ZrN6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Zr–N bond distances ranging from 2.19–2.30 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with three NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with eight NZr4 trigonal pyramids, and edges with four OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with three NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with eight NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with five OZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, edges with two NZr4 tetrahedra, and an edgeedge with one NZr4 trigonal pyramid. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that

36 MATERIALS SCIENCE↗

Materials Data on Li2Fe3NiO8 by Materials Project

Li2Fe3NiO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are three shorter (1.99 Å) and one longer (2.01 Å) Li–O bond lengths. In the second Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. In the third Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There is three shorter (1.99 Å) and one longer (2.00 Å) Li–O bond length. In the fourth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is one shorter (1.98 Å) and three longer (2.00 Å) Li–O bond length. In the fifth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There is three shorter (1.99 Å) and one longer (2.00 Å) Li–O bond length. In the sixth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There is two shorter (1.99 Å) and two longer (2.00 Å) Li–O bond length. In the seventh Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.98–2.00 Å. In the eighth Li site, Li is bonded to four O atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine FeO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.99–2.01 Å. There are twelve inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.00–2.03 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.04 Å. In the eighth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the ninth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.04 Å. In the tenth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the eleventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.03 Å. In the twelfth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.01–2.04 Å. There are four inequivalent Ni sites. In the first Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. There is one shorter (1.89 Å) and five longer (1.90 Å) Ni–O bond length. In the second Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. There is one shorter (1.89 Å) and five longer (1.90 Å) Ni–O bond length. In the third Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. All Ni–O bond lengths are 1.90 Å. In the fourth Ni site, Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six FeO6 octahedra. All Ni–O bond lengths are 1.90 Å. There are thirty-two inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the third O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the sixth O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the seventh O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eleventh O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the twelfth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the thirteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the fourteenth O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the fifteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the sixteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the seventeenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the eighteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the nineteenth O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the twentieth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-second O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the twenty-third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-fourth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-fifth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-seventh O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the twenty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the twenty-ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the thirtieth O site, O is bonded to one Li and three Fe atoms to form distorted corner-sharing OLiFe3 trigonal pyramids. In the thirty-first O site, O is bonded in a rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom. In the thirty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Li, two Fe, and one Ni atom.

36 MATERIALS SCIENCE↗

Materials Data on Li8NbFe7(PO4)12 by Materials Project

Li8NbFe7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li sites. In the first Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the second Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There is one shorter (1.95 Å) and three longer (2.00 Å) Li–O bond length. In the third Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.00 Å. In the fourth Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the fifth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the sixth Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, an edgeedge with one NbO6 octahedra, and an edgeedge with one FeO6 octahedra. There are a spread of Li–O bond distances ranging from 1.91–2.08 Å. In the seventh Li site, Li is bonded to four O atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two FeO6 octahedra. There is one shorter (1.95 Å) and three longer (2.00 Å) Li–O bond length. In the eighth Li site, Li is bonded in a distorted see-saw-like geometry to four O atoms. There are a spread of Li–O bond distances ranging from 1.96–2.08 Å. Nb is bonded to six O atoms to form NbO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Nb–O bond distances ranging from 1.94–2.06 Å. There are seven inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.95–2.09 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.10 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.13 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Fe–O bond distances ranging from 1.94–2.11 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Fe–O bond distances ranging from 1.96–2.09 Å. There are twelve inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 22–38°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 27–35°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 27–35°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 12–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 13–40°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 8–46°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the tenth P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 9–42°. There are a spread of P–O bond distances ranging from 1.53–1.60 Å. In the eleventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra, corners with three FeO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the twelfth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the second O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the third O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the fourth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the fifth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the seventh O site, O is bonded in a linear geometry to one Fe and one P atom. In the eighth O site, O is bonded in a linear geometry to one Fe and one P atom. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the tenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the eleventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the fifteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the sixteenth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the seventeenth O site, O is bonded in a linear geometry to one Fe and one P atom. In the eighteenth O site, O is bonded in a linear geometry to one Fe and one P atom. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the twenty-second O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fifth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-seventh O site, O is bonded in a distorted T-shaped geometry to one Li, one Nb, and one P atom. In the twenty-eighth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the twenty-ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirtieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirty-first O site, O is bonded in a linear geometry to one Fe and one P atom. In the thirty-second O site, O is bonded in a linear geometry to one Nb and one P atom. In the thirty-third O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the thirty-fourth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Nb, and one P atom. In the thirty-fifth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the thirty-sixth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the thirty-seventh O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the thirty-eighth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Nb, and one P atom. In the thirty-ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Li, one Fe, and one P atom. In the fortieth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the forty-first O site, O is bonded in a linear geometry to one Fe and one P atom. In the forty-second O site, O is bonded in a linear geometry to one Fe and one P atom. In the forty-third O site, O is bonded in a distorted trigonal planar geometry to one Li, one Nb, and one P atom. In the forty-fourth O site, O is bonded in a distorted trigonal planar geometry to one Li, one Fe, and one P atom. In the forty-fifth O site, O is bonded in a 3-coordinate geometry to one Li, one Fe, and one P atom. In the forty-sixth O

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 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 50–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.19 Å. There are one shorter (2.23 Å) and one longer (2.29 Å) Hf–O bond lengths. In the second 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 52–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.21 Å) and one longer (2.25 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 distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.29 Å) and one longer (2.31 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN5O octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.23 Å. In the fifth 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 49–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.23 Å. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.20 Å. The Hf–O bond length is 2.27 Å. In the seventh 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 51–58°. There are two shorter (2.07 Å) and one longer (2.12 Å) Hf–N bond lengths. There are one shorter (2.21 Å) and two longer (2.26 Å) Hf–O bond lengths. In the eighth 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 53–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.25 Å. The Hf–O bond length is 2.34 Å. In the ninth 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 54–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.30 Å. In the tenth 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 49–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.17 Å. In the eleventh 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 53–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.26 Å) and one longer (2.27 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.15–2.23 Å. The Hf–O bond length is 2.22 Å. In the thirteenth 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 49–57°. There are a spread of Hf–N bond distances ranging from 2.06–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.24 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 HfN4O2 octahedra and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Hf–N bond distances ranging from 2.16–2.18 Å. There are one shorter (2.16 Å) and one longer (2.17 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.22 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 53–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. There are one shorter (2.18 Å) and one longer (2.21 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 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight 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 corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fifth 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 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 sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, 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 NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two 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 ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with two 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 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 eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, 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 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 NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, 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 corners with six NHf4 trigonal pyramids, corners with six OHf4 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 corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three 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 sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with eight 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 corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form OHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three 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 three NHf4 tetrahedra, corners with two 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 fourth O2- site, O2- is bonded to four Hf4+ atoms to form OHf4 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 three NHf4 trigonal pyramids. In

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with five ZrN3O3 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Zr–N bond distances ranging from 2.11–2.16 Å. There are a spread of Zr–O bond distances ranging from 2.23–2.28 Å. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 pentagonal pyramids that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Zr–N bond distances ranging from 2.10–2.21 Å. There are two shorter (2.19 Å) and one longer (2.26 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN3O3 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are one shorter (2.13 Å) and two longer (2.19 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.18–2.25 Å. In the fourth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN5O octahedra, edges with four ZrN3O3 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.34 Å) and one longer (2.38 Å) Zr–O bond lengths. In the fifth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Zr–N bond distances ranging from 2.10–2.21 Å. There are two shorter (2.19 Å) and one longer (2.26 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN3O3 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.16–2.25 Å. The Zr–O bond length is 2.35 Å. In the seventh Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN3O3 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Zr–N bond distances ranging from 2.15–2.23 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.21 Å. In the eighth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Zr–N bond distances ranging from 2.13–2.26 Å. There are two shorter (2.18 Å) and one longer (2.23 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN3O3 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.25 Å. There are one shorter (2.26 Å) and one longer (2.30 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with five ZrN3O3 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.23 Å. There are one shorter (2.25 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eleventh Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.17–2.26 Å. The Zr–O bond length is 2.33 Å. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with five ZrN4O2 octahedra, a cornercorner with one ZrN3O3 pentagonal pyramid, edges with five ZrN3O3 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.14–2.24 Å. The Zr–O bond length is 2.32 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Zr–N bond distances ranging from 2.15–2.22 Å. There are one shorter (2.27 Å) and one longer (2.28 Å) Zr–O bond lengths. In the fourteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Zr–N bond distances ranging from 2.16–2.26 Å. The Zr–O bond length is 2.26 Å. In the fifteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.21 Å. There are one shorter (2.31 Å) and one longer (2.35 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing ZrN6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Zr–N bond distances ranging from 2.20–2.28 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, and edges with four OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with seven NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with four NZr4 trigonal pyramids, and edges with four OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with seven NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with four NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with seven OZr4 trigonal pyramids, and edges with four NZr4 tetrahedra. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with seven NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with three NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with seven OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with seven NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with three NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with seven NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with three NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with seven NZr4 tetrahedra, a cornercorner with one OZr4 trigonal pyramid, corners with four NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share corners with three NZr4 tetrahedra, corners with three NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, and edges with two NZr4 trigonal pyramids. In the third

36 MATERIALS SCIENCE↗

Materials Data on Li2FeNi3O8 by Materials Project

Li2FeNi3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Li–O bond distances ranging from 1.93–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.93–2.01 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.93–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Li–O bond distances ranging from 1.93–2.02 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine NiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–67°. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.06 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–2.07 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six NiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.99–2.08 Å. There are twelve inequivalent Ni+3.67+ sites. In the first Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the second Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.88–1.91 Å. In the third Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the fourth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.91–2.09 Å. In the fifth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–2.07 Å. In the sixth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.91 Å. In the seventh Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.87–1.90 Å. In the eighth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–2.08 Å. In the ninth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.89–2.09 Å. In the tenth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the eleventh Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.86–1.91 Å. In the twelfth Ni+3.67+ site, Ni+3.67+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four NiO6 octahedra. There are a spread of Ni–O bond distances ranging from 1.88–2.11 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the third O2- site, O2- is bonded to one Li1+ and three Ni+3.67+ atoms to form distorted OLiNi3 tetrahedra that share a cornercorner with one OLiNi3 tetrahedra, corners with four OLiFeNi2 trigonal pyramids, and an edgeedge with one OLiFeNi2 trigonal pyramid. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the sixth O2- site, O2- is bonded to one Li1+ and three Ni+3.67+ atoms to form distorted OLiNi3 trigonal pyramids that share corners with three OLiNi3 tetrahedra, corners with three OLiFeNi2 trigonal pyramids, and an edgeedge with one OLiFeNi2 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Li1+, one Fe3+, and two Ni+3.67+ atoms to form distorted OLiFeNi2 trigonal pyramids that share corners with two OLiNi3 tetrahedra and corners with two OLiFeNi2 trigonal pyramids. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Ni+3.67+ atoms to form distorted OLiFeNi2 trigonal pyramids that share corners with two OLiNi3 tetrahedra, corners with three OLiFeNi2 trigonal pyramids, and an edgeedge with one OLiNi3 trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.67+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Ni+3.67+ atoms to form distorted OLiFeNi2 trigonal pyramids that share a cornercorner with one OLiNi3 tetrahedra, corners with three OLiFeNi2 trigonal pyramids, and an edgeedge with one OLiNi3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ni+3.67+ atoms to form a mixture of distorted corner and edge-sharing OLiNi3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.67+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Ni+3.67+ atoms to form distorted OLiFeNi2 trigonal pyramids that share a cornercorner with one OLiNi3 tetrahedra and corners with two OLiFeNi2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ni+3.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Ni+3.67+ atoms to form distorted OLiNi3 tetrahedra that share corners with two OLiNi3 tetrahedra and a cornercorner with one OLiFeNi2 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Ni+3.67+ atoms. In the thirtieth O2- site, O2- is bonded to one Li1+ and three Ni+3.67+ atoms to form distorted OLiNi3 tetrahedra that share a cornercorner with one OLiNi3 tetrahedra and corners with two OLiFeNi2 trigonal pyramids. In the thirty-first O2- site, O2- is bonded to one Li1+, one Fe3+, and two Ni+3.67+ atoms to form distorted OLiFeNi2 trigonal pyramids that share corners with two OLiNi3 tetrahedra, corners with three OLiFeNi2 trigonal pyramids, and an edgeedge with one OLiNi3 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on Sn2N2O by Materials Project

Sn2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with five SnN4O2 octahedra, a cornercorner with one SnN3O3 pentagonal pyramid, and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Sn–N bond distances ranging from 2.06–2.19 Å. There are a spread of Sn–O bond distances ranging from 2.14–2.31 Å. In the second Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with six SnN4O2 octahedra, edges with five SnN3O3 octahedra, and an edgeedge with one SnN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Sn–N bond distances ranging from 2.14–2.23 Å. There are one shorter (2.20 Å) and one longer (2.22 Å) Sn–O bond lengths. In the third Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN4O2 octahedra, edges with five SnN3O3 octahedra, and an edgeedge with one SnN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Sn–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.34 Å) and one longer (2.43 Å) Sn–O bond lengths. In the fourth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN4O2 octahedra, edges with five SnN3O3 octahedra, and an edgeedge with one SnN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.26 Å. In the fifth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.24 Å. There are one shorter (2.13 Å) and one longer (2.38 Å) Sn–O bond lengths. In the sixth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN4O2 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.10–2.25 Å. Both Sn–O bond lengths are 2.30 Å. In the seventh Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with five SnN4O2 octahedra, a cornercorner with one SnN3O3 pentagonal pyramid, and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Sn–N bond distances ranging from 2.10–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.14–2.27 Å. In the eighth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with six SnN3O3 octahedra, edges with five SnN4O2 octahedra, and an edgeedge with one SnN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Sn–N bond distances ranging from 2.15–2.21 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Sn–O bond lengths. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Sn–N bond distances ranging from 2.17–2.21 Å. There are one shorter (2.21 Å) and one longer (2.23 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Sn–N bond distances ranging from 2.16–2.19 Å. There are one shorter (2.20 Å) and one longer (2.25 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded to six N3- atoms to form distorted SnN6 octahedra that share corners with six SnN4O2 octahedra, edges with five SnN4O2 octahedra, and an edgeedge with one SnN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sn–N bond distances ranging from 2.15–2.28 Å. In the twelfth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN4O2 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Sn–N bond distances ranging from 2.11–2.25 Å. The Sn–O bond length is 2.39 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 pentagonal pyramids that share corners with six SnN3O3 octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. All Sn–N bond lengths are 2.17 Å. There are two shorter (2.14 Å) and one longer (2.30 Å) Sn–O bond lengths. In the fourteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with five SnN3O3 octahedra, a cornercorner with one SnN3O3 pentagonal pyramid, and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Sn–N bond distances ranging from 2.13–2.23 Å. The Sn–O bond length is 2.41 Å. In the fifteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with five SnN3O3 octahedra, a cornercorner with one SnN3O3 pentagonal pyramid, and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.22 Å. There are one shorter (2.18 Å) and one longer (2.35 Å) Sn–O bond lengths. In the sixteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN4O2 octahedra, edges with five SnN4O2 octahedra, and an edgeedge with one SnN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Sn–N bond distances ranging from 2.13–2.24 Å. There are one shorter (2.20 Å) and one longer (2.28 Å) Sn–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with six OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two OSn4 trigonal pyramids. In the second N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with eight NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, and edges with four OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the fourth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with eight NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with six OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with three OSn4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with six OSn4 trigonal pyramids, and edges with four NSn4 tetrahedra. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, and edges with three OSn4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with eight NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two OSn4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with three NSn4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, co

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 four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. There are one shorter (2.21 Å) and one longer (2.25 Å) Hf–O bond lengths. 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 HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.20 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 HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.26 Å) and one longer (2.30 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.26 Å. Both Hf–O bond lengths are 2.21 Å. In the fifth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.27 Å) and one longer (2.28 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.21 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.17 Å) and one longer (2.21 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 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 2.09–2.19 Å. There are one shorter (2.25 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 HfN4O2 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 a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.24 Å) and one longer (2.26 Å) Hf–O bond lengths. In the tenth 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 54–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.25 Å. The Hf–O bond length is 2.32 Å. In the eleventh 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 54–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.20 Å. There are one shorter (2.24 Å) and one longer (2.25 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 HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.14–2.25 Å. The Hf–O bond length is 2.21 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 HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.24 Å. There are one shorter (2.18 Å) and one longer (2.23 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are two shorter (2.16 Å) and one longer (2.23 Å) Hf–O bond lengths. 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 HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.14–2.23 Å. The Hf–O bond length is 2.21 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. There are one shorter (2.16 Å) and one longer (2.22 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 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two OHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two OHf4 tetrahedra, corners with three NHf4 tetrahedra, corners with seven 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 OHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two NHf4 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 OHf4 tetrahedra, corners with three NHf4 tetrahedra, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three 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, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, and edges with three NHf4 tetrahedra. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with three NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 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 two OHf4 tetrahedra, corners with three 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 ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with three NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, 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 distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 tetrahedra, corners with three 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 twelfth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, 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 OHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two 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 OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with two 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 fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two OHf4 tetrahedra, corners with three NHf4 tetrahedra, corners with seven 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, a cornercorner with one OHf4 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 second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 te

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 HfN3O3 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–59°. There are one shorter (2.08 Å) and two longer (2.12 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.19–2.24 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are two shorter (2.15 Å) and one longer (2.22 Å) Hf–O bond lengths. 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 HfN4O2 octahedra, edges with four HfN3O3 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are one shorter (2.32 Å) and one longer (2.37 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN3O3 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.22 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–56°. 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 2.14–2.22 Å. In the sixth 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 50–54°. There are a spread of Hf–N bond distances ranging from 2.09–2.22 Å. There are two shorter (2.14 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 HfN4O2 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.21 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN3O3 octahedra, corners with two HfN3O3 pentagonal pyramids, 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 2.11–2.19 Å. There are two shorter (2.14 Å) and one longer (2.17 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are one shorter (2.22 Å) and one longer (2.26 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with four HfN3O3 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. The Hf–O bond length is 2.34 Å. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–59°. 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 twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.31 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 HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.18 Å. There are one shorter (2.24 Å) and one longer (2.26 Å) Hf–O bond lengths. In the fourteenth 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 54–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.29 Å) and one longer (2.33 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.22 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing HfN6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Hf–N bond distances ranging from 2.15–2.26 Å. 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 five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four 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 tetrahedra that share corners with seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with four NHf4 trigonal pyramids, and edges with four 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 seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three 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 NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five 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 tetrahedra that share corners with seven NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with three NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four 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 distorted NHf4 trigonal pyramids that share corners with seven NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with three NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 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 NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 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 NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, and edges with four NHf4 tetrahedra. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with seven NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with three NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifteenth 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 NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two 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 seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with four 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 corners with three NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the second 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 NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, and edges with four NHf4 tetrahedra. In the third O2- site, O2- is bonded to fo

36 MATERIALS SCIENCE↗

Materials Data on Y4Ti13Si2(SbO14)2 by Materials Project

Y4Ti13Si2(SbO14)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.17–2.37 Å. In the second Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.16–2.38 Å. In the third Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.17–2.35 Å. In the fourth Y3+ site, Y3+ is bonded to five O2- atoms to form distorted YO5 square pyramids that share corners with two equivalent YO5 square pyramids, corners with four TiO5 trigonal bipyramids, edges with two YO5 square pyramids, and an edgeedge with one TiO5 trigonal bipyramid. There are a spread of Y–O bond distances ranging from 2.16–2.38 Å. There are thirteen inequivalent Ti+3.85+ sites. In the first Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.24 Å. In the second Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 59°. There are a spread of Ti–O bond distances ranging from 2.04–2.47 Å. In the third Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.27 Å. In the fourth Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.27 Å. In the fifth Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ti–O bond distances ranging from 2.05–2.48 Å. In the sixth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.11–2.18 Å. In the seventh Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ti–O bond distances ranging from 2.04–2.51 Å. In the eighth Ti+3.85+ site, Ti+3.85+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two SiO4 tetrahedra and corners with four TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 2.07–2.35 Å. In the ninth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.06–2.23 Å. In the tenth Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one YO5 square pyramid, corners with three SiO4 tetrahedra, corners with three TiO5 trigonal bipyramids, and edges with two TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Ti–O bond distances ranging from 2.04–2.53 Å. In the eleventh Ti+3.85+ site, Ti+3.85+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with three YO5 square pyramids, a cornercorner with one SiO4 tetrahedra, corners with two equivalent TiO5 trigonal bipyramids, an edgeedge with one YO5 square pyramid, and edges with two TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.87–2.29 Å. In the twelfth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.05–2.25 Å. In the thirteenth Ti+3.85+ site, Ti+3.85+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 2.09–2.21 Å. There are two inequivalent Si sites. In the first Si site, Si is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eight TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the second Si site, Si is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eight TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 61°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. There are two inequivalent Sb3- sites. In the first Sb3- site, Sb3- is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.29–2.66 Å. In the second Sb3- site, Sb3- is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Sb–O bond distances ranging from 2.34–2.58 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the second O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners with six OYTi2Sb trigonal pyramids, edges with two OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.85+ and one Si atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the fifth O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners with six OYTi3 trigonal pyramids, edges with two OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi2Sb trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the eighth O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi3 trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.85+ and one Si atom. In the twelfth O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi3 trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.85+ and one Si atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Sb3- atom. In the nineteenth O2- site, O2- is bonded to one Y3+, two Ti+3.85+, and one Sb3- atom to form distorted OYTi2Sb trigonal pyramids that share corners with three OY3Ti tetrahedra, corners with four OYTi3 trigonal pyramids, and edges with two OYTi2Sb trigonal pyramids. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Ti+3.85+ and one Si atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-fourth O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners with six OYTi2Sb trigonal pyramids, edges with two OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.85+ and one Si atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.85+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Y3+ and three Ti+3.85+ atoms to form distorted OYTi3 trigonal pyramids that share corners with three OY3Ti tetrahedra, a cornercorner with one OYTi2Sb trigonal pyramid, an edgeedge with one OY3Ti tetrahedra, and an edgeedge with one OYTi3 trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded to three Y3+ and one Ti+3.85+ atom to form distorted OY3Ti tetrahedra that share corners with two equivalent OY3Ti tetrahedra, corners wi

36 MATERIALS SCIENCE↗

Materials Data on Fe4Co(BiO3)5 by Materials Project

Fe4Co(BiO3)5 is Ilmenite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Fe–O bond distances ranging from 1.99–2.12 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Fe–O bond distances ranging from 1.99–2.15 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Fe–O bond distances ranging from 1.99–2.14 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO6 octahedra and corners with three CoO6 octahedra. The corner-sharing octahedra tilt angles range from 24–28°. There are a spread of Fe–O bond distances ranging from 1.98–2.13 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one CoO6 octahedra and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Fe–O bond distances ranging from 1.98–2.16 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one CoO6 octahedra and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–29°. There are a spread of Fe–O bond distances ranging from 1.98–2.14 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with three FeO6 octahedra and corners with three CoO6 octahedra. The corner-sharing octahedra tilt angles range from 25–28°. There are a spread of Fe–O bond distances ranging from 1.98–2.15 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two FeO6 octahedra and corners with four CoO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Fe–O bond distances ranging from 1.97–2.15 Å. There are two inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 25–27°. There are a spread of Co–O bond distances ranging from 1.97–2.14 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Co–O bond distances ranging from 1.97–1.99 Å. There are ten inequivalent Bi3+ sites. In the first 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 2.34–2.48 Å. In the second 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 2.34–2.46 Å. In the third 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 2.32–2.48 Å. In the fourth 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 2.32–2.51 Å. In the fifth 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 2.31–2.48 Å. In the sixth 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 2.29–2.50 Å. In the seventh 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 2.31–2.48 Å. In the eighth 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 2.33–2.48 Å. In the ninth 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 2.30–2.49 Å. In the tenth 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 2.32–2.47 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the fifth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Fe3+ and two Bi3+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Fe3+, one Co3+, and two Bi3+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Fe3+ and two Bi3+ atoms.

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