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Materials Data on ZrTi2O6 by Materials Project

ZrTi2O6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with six TiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–O bond distances ranging from 2.05–2.26 Å. In the second Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with eight TiO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Zr–O bond distances ranging from 2.04–2.25 Å. In the third Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with eight TiO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Zr–O bond distances ranging from 2.04–2.26 Å. In the fourth Zr4+ site, Zr4+ is bonded to six O2- atoms to form distorted ZrO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with six TiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–O bond distances ranging from 2.04–2.25 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 equivalent ZrO6 octahedra, corners with six TiO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–O bond distances ranging from 1.87–2.28 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four equivalent ZrO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–O bond distances ranging from 1.89–2.13 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with eight TiO6 octahedra and edges with two ZrO6 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.20 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with six ZrO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Ti–O bond distances ranging from 1.89–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four equivalent ZrO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four ZrO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 1.87–2.22 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent ZrO6 octahedra, corners with six TiO6 octahedra, an edgeedge with one ZrO6 octahedra, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.23 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with six ZrO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Ti4+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Zr4+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to two Zr4+ and one Ti4+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to two Zr4+ and one Ti4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Zr4+ and one Ti4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Zr4+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.96–3.03 Å. In the second Ba2+ site, Ba2+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.04 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the tenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. In the twenty-first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.01 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti

36 MATERIALS SCIENCE↗

Materials Data on LiCu4(PO4)3 by Materials Project

LiCu4(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.22 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with six CuO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 76–78°. There are a spread of Li–O bond distances ranging from 2.04–2.17 Å. In the third Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.24 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.18 Å. There are ten inequivalent Cu2+ sites. In the first Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.90–2.56 Å. In the second Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.92–2.35 Å. In the third Cu2+ site, Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.96–2.35 Å. In the fourth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.94–2.57 Å. In the fifth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.93–2.64 Å. In the sixth Cu2+ site, Cu2+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two equivalent CuO6 octahedra. There are a spread of Cu–O bond distances ranging from 1.90–2.59 Å. In the seventh Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.20 Å. In the eighth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.57 Å. In the ninth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.96–2.18 Å. In the tenth Cu2+ site, Cu2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.98–2.18 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra and corners with two equivalent LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is three shorter (1.54 Å) and one longer (1.60 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of P–O bond distances ranging from 1.55–1.58 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six CuO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two equivalent Cu2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, three Cu2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two equivalent Cu2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Cu2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted OLiCu2P tetrahedra that share corners with three OLiCu2P tetrahedra and an edgeedge with one OCu3P tetrahedra. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cu2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cu2+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to three Cu2+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to three Cu2+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to three Cu2+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Cu2+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Cu2+ and one P5+ atom to form a mixture of distorted edge and corner-sharing OCu3P tetrahedra. In the twenty-eighth O2- site, O2- is bonded to three Cu2+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the twenty-ninth O2- site, O2- is bonded to three Cu2+ and one P5+ atom to form distorted corner-sharing OCu3P tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Cu2+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to two equivalent Cu2+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two equivalent Cu2+, and one P5+ atom to form distorted corner-sharing OLiCu2P tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to three Cu2+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Cu2+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cu2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Ti9O20 by Materials Project

Mg3Ti9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.21 Å. In the second Mg2+ site, Mg2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mg–O bond distances ranging from 2.02–2.22 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share corners with two TiO6 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–28°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. There are nine inequivalent Ti+3.78+ sites. In the first Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the second Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 28–53°. There are a spread of Ti–O bond distances ranging from 1.82–2.19 Å. In the third Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–53°. There are a spread of Ti–O bond distances ranging from 1.82–2.19 Å. In the fourth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–50°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. In the fifth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.83–2.24 Å. In the sixth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.83–2.20 Å. In the seventh Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–48°. There are a spread of Ti–O bond distances ranging from 1.83–2.23 Å. In the eighth Ti+3.78+ site, Ti+3.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the ninth Ti+3.78+ site, Ti+3.78+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–50°. There are a spread of Ti–O bond distances ranging from 1.91–2.13 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the second O2- site, O2- is bonded to two Mg2+ and two Ti+3.78+ atoms to form a mixture of distorted corner and edge-sharing OMg2Ti2 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.78+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.78+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Ti+3.78+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.78+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Ti+3.78+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.78+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.78+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.78+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.78+ atoms. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OMg2Ti2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Mg2+ and two Ti+3.78+ atoms to form distorted OMg2Ti2 trigonal pyramids that share corners with four OMg2Ti2 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Mg2+ and three Ti+3.78+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti+3.78+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li2VFe(P2O7)2 by Materials Project

Li2VFe(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.09 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.08 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.09 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.08 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.09 Å. There are three inequivalent V3+ sites. In the first V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.99–2.07 Å. In the second V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.99–2.08 Å. In the third V3+ site, V3+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of V–O bond distances ranging from 2.00–2.08 Å. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–49°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–48°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–50°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two VO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–50°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There is three shorter (1.53 Å) and one longer (1.62 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–48°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–50°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one VO6 octahedra, corners with two FeO6 octahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Fe3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V3+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V3+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V3+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V3+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one V3+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Fe3+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one V3+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one P5+ atom. In the forty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Na9Mn15O32 by Materials Project

Na9Mn15O32 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–67°. There are a spread of Na–O bond distances ranging from 2.14–2.20 Å. In the second Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.21–2.35 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–70°. There are a spread of Na–O bond distances ranging from 2.14–2.21 Å. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of Na–O bond distances ranging from 2.16–2.28 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–71°. There are a spread of Na–O bond distances ranging from 2.17–2.24 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Na–O bond distances ranging from 2.17–2.22 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–72°. There are a spread of Na–O bond distances ranging from 2.16–2.22 Å. In the eighth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–75°. There are a spread of Na–O bond distances ranging from 2.18–2.20 Å. In the ninth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Na–O bond distances ranging from 2.16–2.26 Å. There are fifteen inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.07 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.29 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.05 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.28 Å. In the ninth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 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 tenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the eleventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. In the twelfth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the thirteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.29 Å. In the fourteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.31 Å. In the fifteenth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.02 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with four ONaMn3 tetrahedra, corners with six ONa2Mn2 trigonal pyramids, an edgeedge with one ONa2Mn2 tetrahedra, and an edgeedge with one ONa2Mn2 trigonal pyramid. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONa2Mn2 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with five ONaMn3 tetrahedra, corners with five ONaMn3 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with five ONaMn3 tetrahedra, corners with five ONaMn3 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with four ONaMn3 tetrahedra, corners with six ONa2Mn2 trigonal pyramids, an edgeedge with one ONa2Mn2 tetrahedra, and an edgeedge with one ONa2Mn2 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form distorted ONaMn3 tetrahedra that share corners with seven ONa2Mn2 tetrahedra, corners with four ONaMn3 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the eleventh O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twelfth O2- site, O2- is bonded to two Na1+ and two Mn+3.67+ atoms to form distorted ONa2Mn2 tetrahedra that share corners with three ONaMn3 tetrahedra, corners with seven ONa2Mn2 trigonal pyramids, and edges with two ONa2Mn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form ONaMn3 tetrahedra that share corners with seven ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+ and three Mn+3.67+ atoms. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form ONaMn3 tetrahedra that share corners with seven ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.67+ atoms to form distorted ONaMn3 tetrahedra that share corners with six ONaMn3 tetrahedra, corners with three ONa2Mn2 trigonal pyramids, edges with two ONaMn3 tetrahedra, and an edgeedge with one ONaMn3 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Na7Mn16O32 by Materials Project

Na7Mn16O32 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–71°. There are a spread of Na–O bond distances ranging from 2.17–2.21 Å. In the second Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–70°. There are a spread of Na–O bond distances ranging from 2.16–2.19 Å. In the third Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are three shorter (2.14 Å) and one longer (2.17 Å) Na–O bond lengths. In the fourth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–71°. There are a spread of Na–O bond distances ranging from 2.14–2.17 Å. In the fifth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–69°. There are a spread of Na–O bond distances ranging from 2.21–2.26 Å. In the sixth Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–71°. There are a spread of Na–O bond distances ranging from 2.18–2.22 Å. In the seventh Na1+ site, Na1+ is bonded to four O2- atoms to form NaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–73°. There are a spread of Na–O bond distances ranging from 2.14–2.19 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 distorted MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.27 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 NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.03 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 NaO4 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 fourth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.04 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 five NaO4 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 sixth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. In the seventh Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.28 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 NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. In the ninth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.29 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 NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.02 Å. In the eleventh Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.28 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 NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. In the thirteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.27 Å. In the fourteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.24 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 five NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. In the sixteenth Mn+3.56+ site, Mn+3.56+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six NaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.29 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the second O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the third O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.56+ atoms. In the tenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the eleventh O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of edge and corner-sharing ONaMn3 tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.56+ atoms. In the thirty-first O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids. In the thirty-second O2- site, O2- is bonded to one Na1+ and three Mn+3.56+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on BaTi14O28 by Materials Project

BaTi14O28 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.98–3.29 Å. In the second Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.97–3.28 Å. There are twenty-eight inequivalent Ti+3.86+ sites. In the first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the ninth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the tenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eleventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the twelfth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the thirteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the fourteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the fifteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the sixteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the seventeenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the eighteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. In the nineteenth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twentieth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-first Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.04 Å. In the twenty-second Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the twenty-third Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-fourth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the twenty-fifth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.93–2.03 Å. In the twenty-sixth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.96–2.04 Å. In the twenty-seventh Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the twenty-eighth Ti+3.86+ site, Ti+3.86+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.02 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.86+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.86+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.86+ atoms. In the

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 SnN3O3 octahedra that share corners with six SnN2O4 octahedra and edges with four SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Sn–N bond distances ranging from 2.13–2.17 Å. There are one shorter (2.18 Å) and two longer (2.20 Å) Sn–O bond lengths. In the second Sn4+ site, Sn4+ is bonded to two N3- and four O2- atoms to form distorted SnN2O4 octahedra that share corners with six SnN3O3 octahedra and edges with four SnN5O octahedra. The corner-sharing octahedra tilt angles range from 47–55°. There are one shorter (2.14 Å) and one longer (2.17 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.09–2.24 Å. In the third Sn4+ site, Sn4+ is bonded in a 6-coordinate geometry to four N3- and two O2- atoms. There are a spread of Sn–N bond distances ranging from 2.10–2.17 Å. There are one shorter (2.36 Å) and one longer (2.47 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 SnN3O3 octahedra and edges with five SnN5O octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are two shorter (2.17 Å) and one longer (2.20 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.09–2.31 Å. In the fifth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Sn–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.16 Å) and one longer (2.27 Å) Sn–O bond lengths. In the sixth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form SnN5O octahedra that share corners with five SnN4O2 octahedra and edges with five SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Sn–N bond distances ranging from 2.18–2.23 Å. The Sn–O bond length is 2.38 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 six SnN3O3 octahedra and edges with five SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Sn–N bond distances ranging from 2.11–2.17 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.28 Å. In the eighth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN2O4 octahedra and edges with five SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.24 Å. The Sn–O bond length is 2.36 Å. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with five SnN3O3 octahedra and edges with five SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.18 Å. There are one shorter (2.27 Å) and one longer (2.37 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with four SnN2O4 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Sn–N bond distances ranging from 2.15–2.22 Å. There are one shorter (2.22 Å) and one longer (2.25 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded in a 6-coordinate geometry to five N3- and one O2- atom. There are a spread of Sn–N bond distances ranging from 2.12–2.22 Å. The Sn–O bond length is 2.60 Å. In the twelfth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with five SnN3O3 octahedra and edges with six SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.27 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with four SnN5O octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Sn–N bond distances ranging from 2.14–2.23 Å. The Sn–O bond length is 2.45 Å. In the fourteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with five SnN3O3 octahedra and edges with six SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–61°. There are a spread of Sn–N bond distances ranging from 2.09–2.22 Å. There are one shorter (2.32 Å) and one longer (2.35 Å) Sn–O bond lengths. In the fifteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN2O4 octahedra and edges with five SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.14–2.25 Å. The Sn–O bond length is 2.34 Å. In the sixteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Sn–N bond distances ranging from 2.15–2.28 Å. The Sn–O bond length is 2.18 Å. 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 four NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, 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 five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with three OSn4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 tetrahedra that share corners with four NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, 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 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 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 three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the seventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with two NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the tenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with two NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the fifteenth 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 OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the sixteenth 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 OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to four Sn4+ atoms. In the second 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, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the third O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with two NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, and edges with four NSn4 tetrahedra. In the fourth O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 tr

36 MATERIALS SCIENCE↗

Materials Data on Li6Mn5Fe(BO3)6 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.21 Å. There are one shorter (2.11 Å) and two longer (2.20 Å) Hf–O bond lengths. In the second 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 51–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.18 Å. There are one shorter (2.22 Å) and one longer (2.24 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 five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. 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 (2.31 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, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. There are one shorter (2.14 Å) and one longer (2.24 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 five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.24 Å. There are one shorter (2.19 Å) and one longer (2.21 Å) Hf–O bond lengths. In the sixth 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 five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. 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 seventh 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 52–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.25 Å) and one longer (2.28 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 HfN3O3 octahedra, edges with four HfN4O2 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 2.10–2.21 Å. There are one shorter (2.24 Å) and one longer (2.25 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 four HfN3O3 octahedra, corners with two HfN3O3 pentagonal pyramids, 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 2.09–2.18 Å. There are one shorter (2.21 Å) and one longer (2.28 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 HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 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 four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Hf–N bond distances ranging from 2.12–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.16 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.14–2.26 Å. The Hf–O bond length is 2.23 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.22 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.22 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are one shorter (2.09 Å) and two longer (2.16 Å) Hf–N bond lengths. There are two shorter (2.15 Å) and one longer (2.23 Å) Hf–O bond lengths. 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 HfN4O2 octahedra, edges with four HfN4O2 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 2.13–2.22 Å. The Hf–O bond length is 2.30 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 corners with five NHf4 trigonal pyramids, corners with seven 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 second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with seven NHf4 trigonal pyramids, and edges with four 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 four 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 fourth 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 fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the 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 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 seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with six 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 tetrahedra 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 distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with two 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 trigonal pyramids that share corners with five 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 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 thirteenth 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 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, 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 trigonal pyramids that share corners with four 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 sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges wit

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 TiN3O3 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Ti–N bond distances ranging from 1.96–1.99 Å. There are a spread of Ti–O bond distances ranging from 2.07–2.12 Å. In the second 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 47–53°. There are a spread of Ti–N bond distances ranging from 1.94–2.03 Å. There are a spread of Ti–O bond distances ranging from 2.05–2.17 Å. 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 TiN5O octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.13 Å) and one longer (2.14 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 four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN5O octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–N bond distances ranging from 2.02–2.05 Å. There are a spread of Ti–O bond distances ranging from 1.96–2.08 Å. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ti–N bond distances ranging from 1.92–2.04 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.18 Å. In the sixth 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 four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 1.99–2.09 Å. The Ti–O bond length is 2.16 Å. In the seventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are two shorter (1.97 Å) and one longer (2.10 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 2.01–2.09 Å. In the eighth 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 50–53°. There are a spread of Ti–N bond distances ranging from 2.03–2.05 Å. There are one shorter (2.04 Å) and one longer (2.05 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 TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. There are one shorter (2.08 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 TiN4O2 octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (2.02 Å) and one longer (2.05 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 51–58°. There are a spread of Ti–N bond distances ranging from 2.00–2.06 Å. There are one shorter (2.09 Å) and one longer (2.14 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. The Ti–O bond length is 2.17 Å. In the thirteenth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O 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 2.00–2.09 Å. The Ti–O bond length is 2.10 Å. In the fourteenth 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 51–54°. There are a spread of Ti–N bond distances ranging from 2.00–2.08 Å. The Ti–O bond length is 2.10 Å. In the fifteenth 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 51–54°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.09 Å) and one longer (2.13 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 52–55°. There are a spread of Ti–N bond distances ranging from 2.01–2.11 Å. The Ti–O bond length is 2.10 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 a cornercorner with one OTi4 trigonal pyramid, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three 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 three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the third N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three 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, and edges with three NTi4 trigonal pyramids. In the ninth 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 tenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, 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 four OTi4 trigonal pyramids, corners with six 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 corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti4+ atoms. In the second O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4

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 TiN3O3 octahedra that share corners with five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Ti–N bond distances ranging from 1.95–1.99 Å. There are a spread of Ti–O bond distances ranging from 2.07–2.13 Å. In the second 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 47–54°. There are a spread of Ti–N bond distances ranging from 1.94–2.03 Å. There are a spread of Ti–O bond distances ranging from 2.04–2.15 Å. In the third Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN5O octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are one shorter (1.97 Å) and two longer (2.03 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 2.02–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN5O octahedra, edges with four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are one shorter (2.11 Å) and one longer (2.16 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 46–55°. There are a spread of Ti–N bond distances ranging from 1.94–2.04 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.15 Å. In the sixth 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 four TiN3O3 octahedra, and edges with two TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Ti–N bond distances ranging from 2.00–2.10 Å. The Ti–O bond length is 2.13 Å. In the seventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form distorted TiN3O3 octahedra that share corners with four TiN3O3 octahedra, corners with two TiN3O3 pentagonal pyramids, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Ti–N bond distances ranging from 1.99–2.06 Å. There are two shorter (2.03 Å) and one longer (2.08 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, edges with five TiN4O2 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. There are one shorter (2.08 Å) and one longer (2.15 Å) Ti–O bond lengths. In the ninth 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 53–56°. There are a spread of Ti–N bond distances ranging from 2.01–2.09 Å. The Ti–O bond length is 2.12 Å. In the tenth Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 48–52°. There are a spread of Ti–N bond distances ranging from 1.97–2.09 Å. There are a spread of Ti–O bond distances ranging from 2.03–2.10 Å. In the eleventh 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, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–N bond distances ranging from 1.96–2.08 Å. There are one shorter (2.11 Å) and one longer (2.15 Å) Ti–O bond lengths. In the twelfth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form TiN5O octahedra that share corners with five TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ti–N bond distances ranging from 1.95–2.07 Å. The Ti–O bond length is 2.17 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 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 (2.05 Å) and one longer (2.08 Å) Ti–O bond lengths. In the fourteenth 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 50–52°. There are a spread of Ti–N bond distances ranging from 2.00–2.06 Å. The Ti–O bond length is 2.12 Å. In the fifteenth 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 52–55°. There are a spread of Ti–N bond distances ranging from 1.98–2.09 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing TiN6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Ti–N bond distances ranging from 2.05–2.10 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 two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, and edges with four 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 three OTi4 trigonal pyramids, corners with nine NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 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 trigonal pyramid, corners with eleven NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten 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 trigonal pyramid, corners with eleven 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 two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 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 NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four 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 nine NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with three OTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twelfth 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 nine NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two OTi4 trigonal pyramids, corners with ten NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with eleven 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 OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form OTi4 trigonal pyramids that share corners with five NTi4 trigonal pyramids, corners with seven OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form 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 fifth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with six NTi4 trigonal pyramids, corners with six OTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with six NTi4 trigonal

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 four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Zr–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.29 Å) and one longer (2.30 Å) Zr–O bond lengths. In the second 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 51–54°. There are a spread of Zr–N bond distances ranging from 2.11–2.18 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.33 Å. In the third 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 50–56°. There are a spread of Zr–N bond distances ranging from 2.18–2.24 Å. There are one shorter (2.19 Å) and one longer (2.25 Å) Zr–O bond lengths. 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 ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.29 Å. There are one shorter (2.24 Å) and one longer (2.27 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 corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.10–2.24 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.27 Å. In the sixth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.21 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 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 2.13–2.23 Å. There are one shorter (2.29 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are one shorter (2.13 Å) and two longer (2.18 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.29 Å. Both Zr–O bond lengths are 2.25 Å. In the tenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form ZrN5O octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.27 Å. The Zr–O bond length is 2.31 Å. In the eleventh 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 52–57°. There are a spread of Zr–N bond distances ranging from 2.14–2.26 Å. The Zr–O bond length is 2.31 Å. In the twelfth 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 50–56°. There are a spread of Zr–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.20 Å) and one longer (2.35 Å) Zr–O bond lengths. In the thirteenth Zr4+ site, Zr4+ is bonded to six N3- atoms to form distorted ZrN6 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.18–2.31 Å. 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 ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Zr–N bond distances ranging from 2.16–2.24 Å. There are one shorter (2.18 Å) and one longer (2.24 Å) Zr–O bond lengths. In the fifteenth 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 ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Zr–N bond distances ranging from 2.12–2.28 Å. There are one shorter (2.27 Å) and one longer (2.30 Å) Zr–O bond lengths. 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 four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two 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 two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the third 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 OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the fourth 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 OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the fifth 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 OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two 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 OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six 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 NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with two OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the eighth 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 two OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 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 NZr4 tetrahedra, corners with two OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 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 two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the twelfth 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 OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 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 NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight 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 a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the sixteenth 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 OZr4 trigonal pyramid, and edges with three NZr4 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 a cornercorner with one OZr4 tetrahedra, corners with two NZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edg

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 four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.17–2.24 Å. There are one shorter (2.18 Å) and one longer (2.22 Å) Zr–O bond lengths. In the second 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 ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–58°. There are three shorter (2.20 Å) and one longer (2.21 Å) Zr–N bond lengths. Both Zr–O bond lengths are 2.21 Å. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.34 Å) and one longer (2.38 Å) Zr–O bond lengths. 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 ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.32 Å) and one longer (2.33 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 53–55°. There are two shorter (2.18 Å) and two longer (2.22 Å) Zr–N bond lengths. There are one shorter (2.21 Å) and one longer (2.22 Å) Zr–O bond lengths. In the sixth 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 a spread of Zr–O bond distances ranging from 2.19–2.27 Å. In the seventh Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form ZrN3O3 octahedra that share corners with five ZrN4O2 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 one shorter (2.12 Å) and two longer (2.14 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.24–2.27 Å. In the eighth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.23 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 five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Zr–N bond distances ranging from 2.16–2.26 Å. The Zr–O bond length is 2.34 Å. In the tenth 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 ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.24 Å. There are one shorter (2.26 Å) and one longer (2.30 Å) Zr–O bond lengths. In the eleventh 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 50–54°. There are a spread of Zr–N bond distances ranging from 2.10–2.21 Å. There are a spread of Zr–O bond distances ranging from 2.19–2.28 Å. In the twelfth 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 52–57°. There are a spread of Zr–N bond distances ranging from 2.20–2.27 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form distorted ZrN5O octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Zr–N bond distances ranging from 2.14–2.27 Å. The Zr–O bond length is 2.28 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN4O2 octahedra, corners with two ZrN3O3 pentagonal pyramids, and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Zr–N bond distances ranging from 2.16–2.20 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.27 Å. In the fifteenth 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 ZrN4O2 octahedra, and an edgeedge with one ZrN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Zr–N bond distances ranging from 2.13–2.26 Å. The Zr–O bond length is 2.32 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form distorted ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra, edges with four ZrN4O2 octahedra, and edges with two ZrN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–61°. There are a spread of Zr–N bond distances ranging from 2.14–2.24 Å. There are one shorter (2.27 Å) and one longer (2.32 Å) Zr–O bond lengths. 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, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four 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 trigonal pyramids 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 fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four 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 fifth 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 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 NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with two NZr4 tetrahedra, corners with four NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the eighth 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, 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 four NZr4 tetrahedra, corners with three 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 tenth N3- site, N3- is bonded to four Zr4+ atoms to form NZr4 trigonal pyramids that share corners with two NZr4 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 eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with four NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with five NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids 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 thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four 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 fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with four NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, 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 a cornercorner with one NZr4 tetrahedra, corners with five NZr4 trigonal pyramids, corners with six OZr4 trigonal pyramids, edges with two NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids 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. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form d

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 four N3- and two O2- atoms to form distorted TiN4O2 octahedra that share corners with six TiN3O3 octahedra and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–N bond distances ranging from 2.01–2.08 Å. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–O bond lengths. In the second 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 TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Ti–N bond distances ranging from 1.97–2.06 Å. There are one shorter (2.09 Å) and one longer (2.13 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 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 1.96–2.08 Å. There are one shorter (2.05 Å) and one longer (2.14 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 50–55°. There are a spread of Ti–N bond distances ranging from 1.96–2.09 Å. There are a spread of Ti–O bond distances ranging from 2.01–2.13 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 50–53°. There are a spread of Ti–N bond distances ranging from 1.94–2.06 Å. There are a spread of Ti–O bond distances ranging from 2.02–2.15 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 49–55°. There are a spread of Ti–N bond distances ranging from 1.99–2.11 Å. There are one shorter (2.08 Å) and one longer (2.10 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 five TiN3O3 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Ti–N bond distances ranging from 1.95–2.13 Å. There are one shorter (2.11 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 six TiN4O2 octahedra, edges with five TiN3O3 octahedra, and an edgeedge with one TiN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–N bond distances ranging from 1.93–2.07 Å. There are one shorter (2.14 Å) and one longer (2.17 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to five N3- and one O2- atom to form distorted TiN5O octahedra that share corners with six TiN4O2 octahedra and edges with six TiN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Ti–N bond distances ranging from 2.02–2.12 Å. The Ti–O bond length is 2.09 Å. In the tenth 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 TiN4O2 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 1.95–2.08 Å. There are one shorter (2.10 Å) and one longer (2.15 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing TiN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Ti–N bond distances ranging from 1.98–2.07 Å. There are two shorter (2.03 Å) and one longer (2.09 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 50–57°. There are a spread of Ti–N bond distances ranging from 1.98–2.11 Å. The Ti–O bond length is 2.14 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 49–57°. There are a spread of Ti–N bond distances ranging from 1.97–2.15 Å. There are one shorter (2.10 Å) and one longer (2.11 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 TiN4O2 octahedra, a cornercorner with one TiN3O3 pentagonal pyramid, and edges with six TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–N bond distances ranging from 2.03–2.09 Å. The Ti–O bond length is 2.10 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 50–55°. There are a spread of Ti–N bond distances ranging from 1.99–2.09 Å. There are one shorter (2.09 Å) and one longer (2.14 Å) Ti–O bond lengths. In the sixteenth Ti4+ site, Ti4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing TiN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Ti–N bond distances ranging from 2.02–2.09 Å. There are one shorter (2.03 Å) and one longer (2.05 Å) Ti–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the second N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with five NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 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 NTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, 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 NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with five 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 corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one NTi4 tetrahedra, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the sixth 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 seven NTi4 trigonal pyramids, an edgeedge with one NTi4 tetrahedra, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with three NTi4 trigonal pyramids. In the tenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the eleventh N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 tetrahedra that share corners with four OTi4 trigonal pyramids, corners with eight NTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with five OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with four NTi4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share corners with four OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the fifteenth N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with four OTi4 trigonal pyramids, corners with six NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Ti4+ atoms to form NTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with two OTi4 trigonal pyramids, corners with seven 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 three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, an edgeedge with one NTi4 tetrahedra, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the second O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, corners with seven NTi4 trigonal pyramids, and edges with three NTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 tetrahedra, corners with three OTi4 trigonal pyramids, cor

36 MATERIALS SCIENCE↗

Materials Data on Tm2Sb2O7 by Materials Project

Tm2Sb2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.30–2.77 Å. In the second Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with four SbO6 octahedra and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Tm–O bond distances ranging from 2.16–2.32 Å. In the third Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.16–2.61 Å. In the fourth Tm3+ site, Tm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.30–2.78 Å. In the fifth Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.16–2.61 Å. In the sixth Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with four SbO6 octahedra and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Tm–O bond distances ranging from 2.16–2.32 Å. In the seventh Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.16–2.61 Å. In the eighth Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.16–2.61 Å. In the ninth Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.16–2.61 Å. In the tenth Tm3+ site, Tm3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.16–2.60 Å. In the eleventh Tm3+ site, Tm3+ is bonded to six O2- atoms to form distorted TmO6 octahedra that share corners with four SbO6 octahedra and edges with two equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–62°. There are a spread of Tm–O bond distances ranging from 2.16–2.32 Å. In the twelfth Tm3+ site, Tm3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.30–2.77 Å. There are twelve inequivalent Sb4+ sites. In the first Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with four SbO6 octahedra and edges with two equivalent TmO6 octahedra. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Sb–O bond distances ranging from 2.26–2.43 Å. In the second Sb4+ site, Sb4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sb–O bond distances ranging from 2.08–2.73 Å. In the third Sb4+ site, Sb4+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent TmO6 octahedra and corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of Sb–O bond distances ranging from 1.98–2.03 Å. In the fourth Sb4+ site, Sb4+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent TmO6 octahedra and corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of Sb–O bond distances ranging from 1.97–2.03 Å. In the fifth Sb4+ site, Sb4+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent TmO6 octahedra and corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of Sb–O bond distances ranging from 1.97–2.03 Å. In the sixth Sb4+ site, Sb4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sb–O bond distances ranging from 2.08–2.73 Å. In the seventh Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with four SbO6 octahedra and edges with two equivalent TmO6 octahedra. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Sb–O bond distances ranging from 2.27–2.43 Å. In the eighth Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted SbO6 octahedra that share corners with four SbO6 octahedra and edges with two equivalent TmO6 octahedra. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Sb–O bond distances ranging from 2.26–2.43 Å. In the ninth Sb4+ site, Sb4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sb–O bond distances ranging from 2.08–2.73 Å. In the tenth Sb4+ site, Sb4+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent TmO6 octahedra and corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of Sb–O bond distances ranging from 1.98–2.03 Å. In the eleventh Sb4+ site, Sb4+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent TmO6 octahedra and corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of Sb–O bond distances ranging from 1.98–2.03 Å. In the twelfth Sb4+ site, Sb4+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent TmO6 octahedra and corners with four SbO6 octahedra. The corner-sharing octahedra tilt angles range from 36–64°. There are a spread of Sb–O bond distances ranging from 1.97–2.03 Å. There are forty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OTm3Sb tetrahedra. In the second O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with ten OTm2Sb2 tetrahedra and edges with three OTm3Sb tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Sb4+ atoms. In the fifth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with ten OTm3Sb tetrahedra and edges with three OTm2Sb2 tetrahedra. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the seventh O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with ten OTm3Sb tetrahedra and edges with three OTm2Sb2 tetrahedra. In the eighth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with eight OTm2Sb2 tetrahedra and edges with three OTm3Sb tetrahedra. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Sb4+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the eleventh O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with eight OTm2Sb2 tetrahedra and edges with three OTm3Sb tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the thirteenth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with six OTm2Sb2 tetrahedra and edges with four OTm3Sb tetrahedra. In the fourteenth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OTm2Sb2 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with ten OTm2Sb2 tetrahedra and edges with three OTm3Sb tetrahedra. In the sixteenth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with six OTm3Sb tetrahedra and edges with four OTm2Sb2 tetrahedra. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the eighteenth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with ten OTm3Sb tetrahedra and edges with three OTm2Sb2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Sb4+ atoms. In the twenty-first O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with ten OTm3Sb tetrahedra and edges with three OTm2Sb2 tetrahedra. In the twenty-second O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with ten OTm2Sb2 tetrahedra and edges with three OTm3Sb tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Sb4+ atoms. In the twenty-fifth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with ten OTm3Sb tetrahedra and edges with three OTm2Sb2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OTm3Sb tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the twenty-eighth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OTm3Sb tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OTm2Sb2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Sb4+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the thirty-second O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OTm2Sb2 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the thirty-fourth O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form OTm3Sb tetrahedra that share corners with six OTm3Sb tetrahedra and edges with four OTm2Sb2 tetrahedra. In the thirty-fifth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OTm2Sb2 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OTm2Sb2 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Sb4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Sb4+ atoms. In the fortieth O2- site, O2- is bonded to two Tm3+ and two Sb4+ atoms to form distorted OTm2Sb2 tetrahedra that share corners with ten OTm3Sb tetrahedra and edges with three OTm2Sb2 tetrahedra. In the forty-first O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OTm3Sb tetrahedra. In the forty-second O2- site, O2- is bonded to three Tm3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OTm3Sb tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn7(PO4)12 by Materials Project

Li9Mn7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.00 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.88–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.14 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. In the ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.05 Å. There are seven inequivalent Mn+3.86+ sites. In the first Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.88–2.04 Å. In the second Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.03 Å. In the third Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.08 Å. In the fourth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the fifth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.04 Å. In the sixth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. In the seventh Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.04 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–42°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 12–43°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–45°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 15–45°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–45°. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–38°. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–36°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–34°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–37°. There are a spread of P–O bond distances ranging from 1.50–1.57 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86

36 MATERIALS SCIENCE↗