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Materials Data on Dy2TiO5 by Materials Project

Dy2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one DyO5 trigonal bipyramid, and an edgeedge with one TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–69°. There are a spread of Dy–O bond distances ranging from 2.22–2.38 Å. In the second Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.11–2.40 Å. In the third Dy3+ site, Dy3+ is bonded to five O2- atoms to form DyO5 trigonal bipyramids that share corners with three DyO6 octahedra, corners with four TiO6 octahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–65°. There are a spread of Dy–O bond distances ranging from 2.06–2.24 Å. In the fourth Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.22–2.37 Å. In the fifth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.58 Å. In the sixth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.17–2.91 Å. In the seventh Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.22–2.63 Å. In the eighth Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two equivalent TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, corners with two equivalent DyO5 trigonal bipyramids, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Dy–O bond distances ranging from 2.17–2.40 Å. In the ninth Dy3+ site, Dy3+ is bonded to seven O2- atoms to form distorted DyO7 pentagonal bipyramids that share a cornercorner with one TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, and edges with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 72°. There are a spread of Dy–O bond distances ranging from 2.22–2.47 Å. In the tenth Dy3+ site, Dy3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Dy–O bond distances ranging from 2.14–2.52 Å. In the eleventh Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.18–2.73 Å. In the twelfth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.25–2.73 Å. In the thirteenth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.17–2.85 Å. In the fourteenth Dy3+ site, Dy3+ is bonded to seven O2- atoms to form distorted DyO7 pentagonal bipyramids that share corners with two TiO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Dy–O bond distances ranging from 2.24–2.50 Å. In the fifteenth Dy3+ site, Dy3+ is bonded to seven O2- atoms to form distorted DyO7 pentagonal bipyramids that share corners with two TiO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Dy–O bond distances ranging from 2.22–2.47 Å. In the sixteenth Dy3+ site, Dy3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Dy–O bond distances ranging from 2.23–2.70 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent DyO6 octahedra, corners with four TiO6 octahedra, a cornercorner with one DyO5 trigonal bipyramid, an edgeedge with one DyO6 octahedra, and an edgeedge with one DyO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–64°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent DyO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one DyO5 trigonal bipyramid, an edgeedge with one DyO6 octahedra, and an edgeedge with one DyO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 34–69°. There are a spread of Ti–O bond distances ranging from 1.85–2.32 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two equivalent DyO6 octahedra, corners with two equivalent DyO5 trigonal bipyramids, and an edgeedge with one DyO6 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Ti–O bond distances ranging from 1.90–2.16 Å. In the fourth Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share a cornercorner with one DyO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and a cornercorner with one DyO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ti–O bond distances ranging from 1.83–2.17 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five TiO6 octahedra, corners with two DyO7 pentagonal bipyramids, and edges with two DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 25–60°. There are a spread of Ti–O bond distances ranging from 1.85–2.35 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five TiO6 octahedra, and edges with two equivalent DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 30–64°. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one DyO7 pentagonal bipyramid, and edges with two equivalent DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.25 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with five TiO6 octahedra, corners with two DyO7 pentagonal bipyramids, and edges with two DyO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Ti–O bond distances ranging from 1.83–2.34 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing ODy3Ti tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of edge and corner-sharing ODy3Ti tetrahedra. In the sixth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with eleven ODy3Ti tetrahedra and an edgeedge with one ODy4 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the eighth O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of edge and corner-sharing ODy4 tetrahedra. In the ninth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with three ODy4 tetrahedra and edges with three ODy3Ti tetrahedra. In the tenth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of edge and corner-sharing ODy3Ti tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one Ti4+ atom. In the twelfth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with ten ODy3Ti tetrahedra and an edgeedge with one ODy4 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Dy3+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing ODy3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing ODy3Ti tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Dy3+ and one Ti4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the twenty-second O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form distorted ODy3Ti tetrahedra that share corners with eight ODy3Ti tetrahedra and edges with two ODy4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Dy3+ atoms. In the twenty-fourth O2- site, O2- is bonded to three Dy3+ and one Ti4+ atom to form ODy3Ti tetrahedra that share corners with three ODy3Ti tetrahedra and edges with three ODy4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to four Dy3+ atoms to form distorted ODy4 tetrahedra that share corners with seven ODy4 tetrahedra and an edgeedge with one ODy3Ti tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of distorted edge and corner-sharing ODy4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded to four Dy3+ atoms to form ODy4 tetrahedra that share corners with nine ODy3Ti tetrahedra and edges with two ODy4 tetrahedra. In the thirtieth O2- site, O2- is bonded to two Dy3+ and two Ti4+ atoms to form distorted ODy2Ti2 tetrahedra that share corners with three ODy3Ti tetrahedra and edges with two ODy4 tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Dy3+ and one Ti4+ atom. In the thirty-second O2- site, O2- is bonded to four Dy3+ atoms to form a mixture of distorted edge and corner-sharing ODy4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Dy3+ and two Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Dy3+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded to four Dy3+ atoms to form ODy4 tetrahedra that share corners with six ODy3Ti tetrahedra and edges with two ODy2Ti2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd10Ti12O39 by Materials Project

Nd10Ti12O39 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.24–2.74 Å. In the second Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share an edgeedge with one NdO8 hexagonal bipyramid and edges with six TiO6 octahedra. There are a spread of Nd–O bond distances ranging from 2.22–2.64 Å. In the third Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.18–2.71 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.22–2.92 Å. In the fifth Nd3+ site, Nd3+ is bonded to eight O2- atoms to form distorted NdO8 hexagonal bipyramids that share edges with three NdO8 hexagonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, and edges with six TiO6 octahedra. There are a spread of Nd–O bond distances ranging from 2.30–2.66 Å. In the sixth Nd3+ site, Nd3+ is bonded to eight O2- atoms to form distorted NdO8 hexagonal bipyramids that share edges with two NdO8 hexagonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, and edges with six TiO6 octahedra. There are a spread of Nd–O bond distances ranging from 2.30–2.62 Å. In the seventh Nd3+ site, Nd3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Nd–O bond distances ranging from 2.17–2.85 Å. In the eighth Nd3+ site, Nd3+ is bonded to eight O2- atoms to form distorted NdO8 hexagonal bipyramids that share edges with three NdO8 hexagonal bipyramids, an edgeedge with one NdO7 hexagonal pyramid, and edges with six TiO6 octahedra. There are a spread of Nd–O bond distances ranging from 2.28–2.65 Å. In the ninth Nd3+ site, Nd3+ is bonded to seven O2- atoms to form distorted NdO7 hexagonal pyramids that share edges with two NdO8 hexagonal bipyramids and edges with six TiO6 octahedra. There are a spread of Nd–O bond distances ranging from 2.22–2.69 Å. In the tenth Nd3+ site, Nd3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Nd–O bond distances ranging from 2.30–2.66 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, an edgeedge with one NdO8 hexagonal bipyramid, and edges with two NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.14 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, an edgeedge with one NdO8 hexagonal bipyramid, and an edgeedge with one NdO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with two NdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with two NdO8 hexagonal bipyramids, and an edgeedge with one NdO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and an edgeedge with one NdO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with two NdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, an edgeedge with one NdO8 hexagonal bipyramid, and edges with two NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and an edgeedge with one NdO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of Ti–O bond distances ranging from 1.87–2.20 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with two NdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 39–58°. There are a spread of Ti–O bond distances ranging from 1.93–2.01 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with four NdO8 hexagonal bipyramids, and an edgeedge with one NdO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, an edgeedge with one NdO8 hexagonal bipyramid, and an edgeedge with one NdO7 hexagonal pyramid. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with two NdO8 hexagonal bipyramids, and edges with two equivalent NdO7 hexagonal pyramids. The corner-sharing octahedra tilt angles range from 38–59°. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. There are thirty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Nd3+ and two Ti4+ atoms. In the third O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Nd3+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the seventh O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to four Nd3+ atoms to form corner-sharing ONd4 tetrahedra. In the twentieth O2- site, O2- is bonded to four Nd3+ atoms to form corner-sharing ONd4 tetrahedra. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded to four Nd3+ atoms to form corner-sharing ONd4 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded to two Nd3+ and two Ti4+ atoms to form distorted corner-sharing ONd2Ti2 tetrahedra. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Nd3+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Al13Si5H14Cl(O17F2)2 by Materials Project

(Al13Si5H14(O17F2)2)2Cl2 crystallizes in the triclinic P1 space group. The structure is three-dimensional and consists of one hydrochloric acid molecule and one Al13Si5H14(O17F2)2 framework. In the Al13Si5H14(O17F2)2 framework, there are thirteen inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to five O2- and one F1- atom to form AlO5F octahedra that share corners with three AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 34–45°. There are a spread of Al–O bond distances ranging from 1.81–1.94 Å. The Al–F bond length is 1.96 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three AlO5F octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 33–39°. There are a spread of Al–O bond distances ranging from 1.81–2.00 Å. In the third Al3+ site, Al3+ is bonded to five O2- and one F1- atom to form AlO5F octahedra that share corners with three AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO4F2 octahedra. The corner-sharing octahedra tilt angles range from 26–39°. There are a spread of Al–O bond distances ranging from 1.78–2.05 Å. The Al–F bond length is 1.93 Å. In the fourth Al3+ site, Al3+ is bonded to four O2- and two F1- atoms to form AlO4F2 octahedra that share corners with three AlO5F octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 30–45°. There are a spread of Al–O bond distances ranging from 1.81–1.95 Å. There is one shorter (1.88 Å) and one longer (1.91 Å) Al–F bond length. In the fifth Al3+ site, Al3+ is bonded to five O2- and one F1- atom to form AlO5F octahedra that share corners with three AlO5F octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 33–43°. There are a spread of Al–O bond distances ranging from 1.79–1.98 Å. The Al–F bond length is 1.93 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form distorted AlO6 octahedra that share corners with three AlO5F octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of Al–O bond distances ranging from 1.75–2.15 Å. In the seventh Al3+ site, Al3+ is bonded to five O2- and one F1- atom to form AlO5F octahedra that share corners with three AlO4F2 octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 33–45°. There are a spread of Al–O bond distances ranging from 1.83–1.95 Å. The Al–F bond length is 1.87 Å. In the eighth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three AlO5F octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of Al–O bond distances ranging from 1.82–2.00 Å. In the ninth Al3+ site, Al3+ is bonded to five O2- and one F1- atom to form AlO5F octahedra that share corners with three AlO5F octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 31–48°. There are a spread of Al–O bond distances ranging from 1.81–2.10 Å. The Al–F bond length is 1.81 Å. In the tenth Al3+ site, Al3+ is bonded to five O2- and one F1- atom to form AlO5F octahedra that share corners with three AlO4F2 octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 30–43°. There are a spread of Al–O bond distances ranging from 1.82–1.99 Å. The Al–F bond length is 1.84 Å. In the eleventh Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of Al–O bond distances ranging from 1.86–1.96 Å. In the twelfth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share corners with three AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, corners with two SiO4 tetrahedra, and edges with two AlO5F octahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of Al–O bond distances ranging from 1.83–2.02 Å. In the thirteenth Al3+ site, Al3+ is bonded to four O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Al–O bond distances ranging from 1.80–1.85 Å. There are five inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six AlO5F octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There is one shorter (1.64 Å) and three longer (1.66 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form corner-sharing SiO4 tetrahedra. There is one shorter (1.62 Å) and three longer (1.64 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six AlO5F octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There is three shorter (1.65 Å) and one longer (1.66 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Si–O bond distances ranging from 1.64–1.67 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with six AlO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Si–O bond distances ranging from 1.64–1.66 Å. There are fourteen inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the seventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- and one F1- atom. The H–O bond length is 1.01 Å. The H–F bond length is 1.64 Å. In the eighth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the ninth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the tenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the eleventh H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the twelfth H1+ site, H1+ is bonded in a distorted bent 150 degrees geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.61 Å) H–O bond length. In the thirteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourteenth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are thirty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the sixth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the seventh O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Al3+ and one H1+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one H1+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one H1+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one H1+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a T-shaped geometry to two Al3+ and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Al3+ and one H1+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted water-like geometry to two Al3+ and two H1+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Al3+ and one H1+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one H1+ atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to two Al3+ and one H1+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Al3+ and one H1+ atom. In the thirtieth O2- site, O2- is bonded to four Al3+ atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirty-first O2- site, O2- is bonded in a distorted single-bond geometry to two Al3+ and one H1+ atom. In the thirty-second O2- site, O2- is bonded to four Al3+ atoms to form distorted corner-sharing OAl4 tetrahedra. In the thirty-third O2- site, O2- is bonded to four Al3+ atoms to form distorted corner-sharing OAl4 trigonal pyramids. In the thirty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Al3+ atoms. The

36 MATERIALS SCIENCE↗

Materials Data on Si2H2O3 by Materials Project

Si10(H3O5)3Si10H11O15 is beta Sn structured and crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of one Si10(H3O5)3 cluster and one Si10H11O15 cluster. In the Si10(H3O5)3 cluster, there are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.65–2.12 Å. In the second Si4+ site, Si4+ is bonded in a water-like geometry to two O2- atoms. There is one shorter (1.66 Å) and one longer (1.77 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.78–1.94 Å. In the fourth Si4+ site, Si4+ is bonded in a 2-coordinate geometry to three O2- atoms. There is two shorter (1.69 Å) and one longer (2.25 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.81 Å. In the sixth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.98 Å. In the seventh Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.63 Å) and one longer (1.81 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.78–1.85 Å. In the ninth Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.80 Å. In the tenth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is two shorter (1.69 Å) and one longer (1.87 Å) Si–O bond length. There are nine inequivalent H1- sites. In the first H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fourth H1- site, H1- is bonded in a single-bond geometry to two O2- atoms. There is one shorter (1.01 Å) and one longer (1.73 Å) H–O bond length. In the fifth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the seventh H1- site, H1- is bonded in a linear geometry to two O2- atoms. There is one shorter (1.16 Å) and one longer (1.29 Å) H–O bond length. In the eighth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the ninth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the fourth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Si4+ and one H1- atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the seventh O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the ninth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Si4+ and two H1- atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Si4+ and one H1- atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the Si10H11O15 cluster, there are ten inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.74 Å) and one longer (1.94 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–2.00 Å. In the third Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.97 Å. In the fourth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.71 Å) and one longer (1.80 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.92 Å. In the sixth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.89 Å. In the seventh Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.96 Å. In the eighth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–1.89 Å. In the ninth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.88 Å. In the tenth Si4+ site, Si4+ is bonded in a tetrahedral geometry to one H1- and three O2- atoms. The Si–H bond length is 1.48 Å. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. There are eleven inequivalent H1- sites. In the first H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fifth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the sixth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the seventh H1- site, H1- is bonded in a single-bond geometry to one Si4+ atom. In the eighth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.02 Å. In the ninth H1- site, H1- is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.05 Å) and one longer (1.45 Å) H–O bond length. In the tenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the eleventh H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Si4+ and two H1- atoms. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Si4+ and one H1- atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the fifteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom.

36 MATERIALS SCIENCE↗

Materials Data on Si2H2O3 by Materials Project

Si2H2O3 crystallizes in the triclinic P1 space group. The structure is zero-dimensional and consists of one Si2H2O3 cluster. there are twenty inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There is one shorter (1.66 Å) and two longer (1.77 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.86 Å. In the third Si4+ site, Si4+ is bonded in a 2-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.68–2.37 Å. In the fourth Si4+ site, Si4+ is bonded in a distorted L-shaped geometry to two O2- atoms. There is one shorter (1.65 Å) and one longer (2.24 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–2.23 Å. In the sixth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–2.32 Å. In the seventh Si4+ site, Si4+ is bonded in a distorted water-like geometry to two O2- atoms. Both Si–O bond lengths are 1.68 Å. In the eighth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.70 Å) and one longer (1.87 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.70–2.15 Å. In the tenth Si4+ site, Si4+ is bonded in a distorted L-shaped geometry to two O2- atoms. There is one shorter (1.67 Å) and one longer (1.84 Å) Si–O bond length. In the eleventh Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.67–1.97 Å. In the twelfth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There is one shorter (1.65 Å) and two longer (1.80 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.75–1.86 Å. In the fourteenth Si4+ site, Si4+ is bonded in an L-shaped geometry to two O2- atoms. There is one shorter (1.69 Å) and one longer (1.83 Å) Si–O bond length. In the fifteenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.69–1.90 Å. In the sixteenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–1.88 Å. In the seventeenth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.71–1.91 Å. In the eighteenth Si4+ site, Si4+ is bonded in a distorted trigonal non-coplanar geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.66–1.87 Å. In the nineteenth Si4+ site, Si4+ is bonded in a 4-coordinate geometry to one H1- and three O2- atoms. The Si–H bond length is 2.00 Å. There are a spread of Si–O bond distances ranging from 1.70–1.80 Å. In the twentieth Si4+ site, Si4+ is bonded in a distorted T-shaped geometry to three O2- atoms. There are a spread of Si–O bond distances ranging from 1.72–1.93 Å. There are twenty inequivalent H1- sites. In the first H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the second H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the third H1- site, H1- is bonded in a linear geometry to two O2- atoms. There is one shorter (1.04 Å) and one longer (1.48 Å) H–O bond length. In the fourth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the fifth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the sixth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the seventh H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the eighth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the ninth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the tenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eleventh H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the twelfth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the thirteenth H1- site, H1- is bonded in a single-bond geometry to one Si4+ and one O2- atom. The H–O bond length is 1.13 Å. In the fourteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.01 Å. In the fifteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the sixteenth H1- site, H1- is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.03 Å) and one longer (1.59 Å) H–O bond length. In the seventeenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the eighteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 1.00 Å. In the nineteenth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the twentieth H1- site, H1- is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the fourth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Si4+ and one H1- atom. In the sixth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Si4+ and one H1- atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Si4+ and one H1- atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Si4+ and one H1- atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the twentieth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Si4+ and one H1- atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Si4+ and two H1- atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Si4+ and one H1- atom. In the twenty-fourth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Si4+ and one H1- atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Si4+ and one H1- atom. In the twenty-seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom. In the twenty-eighth O2- site, O2- is bonded in a 1-coordinate geometry to one Si4+ and one H1- atom. In the twenty-ninth O2- site, O2- is bonded in a distorted single-bond geometry to two Si4+ and one H1- atom. In the thirtieth O2- site, O2- is bonded in a 1-coordinate geometry to two Si4+ and one H1- atom.

36 MATERIALS SCIENCE↗

Materials Data on Tm10Ti6O27 by Materials Project

Tm10Ti6O27 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are sixteen inequivalent Tm3+ sites. In the first Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.20–2.33 Å. In the second Tm3+ site, Tm3+ is bonded to seven O2- atoms to form distorted edge-sharing TmO7 hexagonal pyramids. There are a spread of Tm–O bond distances ranging from 2.17–2.48 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 2.22–2.71 Å. In the fourth Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.10–2.39 Å. In the fifth Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.13–2.52 Å. In the sixth 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 2.16–2.84 Å. In the seventh Tm3+ site, Tm3+ is bonded to seven O2- atoms to form distorted TmO7 pentagonal bipyramids that share corners with two equivalent TiO6 octahedra and an edgeedge with one TmO7 hexagonal pyramid. The corner-sharing octahedral tilt angles are 46°. There are a spread of Tm–O bond distances ranging from 2.18–2.36 Å. In the eighth Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.12–2.33 Å. In the ninth Tm3+ site, Tm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.14–2.81 Å. In the tenth Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.13–2.43 Å. In the eleventh 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 2.20–2.53 Å. In the twelfth 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 2.19–2.58 Å. In the thirteenth 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 2.17–2.62 Å. In the fourteenth Tm3+ site, Tm3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Tm–O bond distances ranging from 2.17–2.80 Å. In the fifteenth Tm3+ site, Tm3+ is bonded in a 8-coordinate geometry to seven O2- atoms. There are a spread of Tm–O bond distances ranging from 2.17–2.56 Å. In the sixteenth Tm3+ site, Tm3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tm–O bond distances ranging from 2.14–2.41 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 three TiO6 octahedra and a cornercorner with one TmO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.85–2.35 Å. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.85–2.37 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–59°. There are a spread of Ti–O bond distances ranging from 1.91–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–57°. There are a spread of Ti–O bond distances ranging from 1.87–2.05 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–50°. There are a spread of Ti–O bond distances ranging from 1.93–2.07 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–52°. There are a spread of Ti–O bond distances ranging from 1.91–2.05 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Ti–O bond distances ranging from 1.95–2.08 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–52°. There are a spread of Ti–O bond distances ranging from 1.85–2.13 Å. There are thirty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Tm3+ atoms to form OTm4 tetrahedra that share corners with fourteen OTm3Ti tetrahedra and an edgeedge with one OTm2Ti2 tetrahedra. In the second O2- site, O2- is bonded to three Tm3+ and one Ti4+ atom to form a mixture of distorted corner and edge-sharing OTm3Ti tetrahedra. In the third O2- site, O2- is bonded to three Tm3+ and one Ti4+ atom to form distorted OTm3Ti tetrahedra that share corners with nine OTm4 tetrahedra and edges with two OTm2Ti2 tetrahedra. In the fourth O2- site, O2- is bonded to three Tm3+ and one Ti4+ atom to form corner-sharing OTm3Ti tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to three Tm3+ and one Ti4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tm3+ and two equivalent Ti4+ atoms. In the seventh O2- site, O2- is bonded to three Tm3+ and one Ti4+ atom to form a mixture of corner and edge-sharing OTm3Ti tetrahedra. In the eighth O2- site, O2- is bonded to two Tm3+ and two equivalent Ti4+ atoms to form distorted corner-sharing OTm2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded to four Tm3+ atoms to form a mixture of corner and edge-sharing OTm4 tetrahedra. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tm3+ and one Ti4+ atom. In the eleventh O2- site, O2- is bonded to three Tm3+ and one Ti4+ atom to form OTm3Ti tetrahedra that share corners with seven OTm3Ti tetrahedra, an edgeedge with one OTm4 tetrahedra, and an edgeedge with one OTm2Ti2 trigonal pyramid. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Tm3+ and one Ti4+ atom. In the fourteenth O2- site, O2- is bonded to two Tm3+ and two equivalent Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTm2Ti2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Tm3+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded to two Tm3+ and two equivalent Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTm2Ti2 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Tm3+ atoms to form OTm4 tetrahedra that share corners with five OTm4 tetrahedra and edges with five OTm3Ti tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded to four Tm3+ atoms to form OTm4 tetrahedra that share corners with nine OTm3Ti tetrahedra, an edgeedge with one OTm4 tetrahedra, and an edgeedge with one OTm2Ti2 trigonal pyramid. In the twentieth O2- site, O2- is bonded to four Tm3+ atoms to form OTm4 tetrahedra that share corners with eight OTm4 tetrahedra and a cornercorner with one OTm2Ti2 trigonal pyramid. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Tm3+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to three Tm3+ and one Ti4+ atom to form OTm3Ti tetrahedra that share corners with five OTm3Ti tetrahedra and an edgeedge with one OTm4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Tm3+ and two equivalent Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Tm3+ and two equivalent Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded to four Tm3+ atoms to form a mixture of corner and edge-sharing OTm4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to four Tm3+ atoms to form OTm4 tetrahedra that share corners with six OTm4 tetrahedra and an edgeedge with one OTm3Ti tetrahedra. In the twenty-ninth O2- site, O2- is bonded to four Tm3+ atoms to form OTm4 tetrahedra that share corners with four OTm4 tetrahedra and edges with three OTm2Ti2 tetrahedra. In the thirtieth O2- site, O2- is bonded to two Tm3+ and two Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTm2Ti2 tetrahedra. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Tm3+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Tm3+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a trigonal planar geometry to one Tm3+ and two equivalent Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Tm3+ and two equivalent Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded to two equivalent Tm3+ and two Ti4+ atoms to form distorted OTm2Ti2 tetrahedra that share corners with five OTm3Ti tetrahedra and an edgeedge with one OTm4 tetrahedra. In the thirty-sixth O2- site, O2- is bonded to four Tm3+ atoms to form corner-sharing OTm4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Tm3+ and one Ti4+ atom. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Tm3+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Gd2Ti2O7 by Materials Project

Gd2Ti2O7 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are twelve inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.32–2.69 Å. In the second Gd3+ site, Gd3+ is bonded to seven O2- atoms to form GdO7 pentagonal bipyramids that share corners with four TiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent TiO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–71°. There are a spread of Gd–O bond distances ranging from 2.22–2.44 Å. In the third Gd3+ site, Gd3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.32–2.69 Å. In the fourth Gd3+ site, Gd3+ is bonded in a 8-coordinate geometry to six O2- atoms. There are a spread of Gd–O bond distances ranging from 2.26–2.45 Å. In the fifth Gd3+ site, Gd3+ is bonded to seven O2- atoms to form GdO7 pentagonal bipyramids that share corners with four TiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent TiO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 51–71°. There are a spread of Gd–O bond distances ranging from 2.22–2.44 Å. In the sixth Gd3+ site, Gd3+ is bonded to eight O2- atoms to form distorted GdO8 hexagonal bipyramids that share edges with six GdO8 hexagonal bipyramids and edges with six TiO6 octahedra. There are a spread of Gd–O bond distances ranging from 2.22–2.59 Å. In the seventh Gd3+ site, Gd3+ is bonded to eight O2- atoms to form distorted GdO8 hexagonal bipyramids that share edges with three GdO8 hexagonal bipyramids, edges with six TiO6 octahedra, and an edgeedge with one TiO7 pentagonal bipyramid. There are a spread of Gd–O bond distances ranging from 2.17–2.59 Å. In the eighth Gd3+ site, Gd3+ is bonded to eight O2- atoms to form distorted GdO8 hexagonal bipyramids that share edges with six GdO8 hexagonal bipyramids and edges with six TiO6 octahedra. There are a spread of Gd–O bond distances ranging from 2.22–2.77 Å. In the ninth Gd3+ site, Gd3+ is bonded to eight O2- atoms to form distorted GdO8 hexagonal bipyramids that share edges with four GdO8 hexagonal bipyramids and edges with six TiO6 octahedra. There are a spread of Gd–O bond distances ranging from 2.22–2.59 Å. In the tenth Gd3+ site, Gd3+ is bonded to eight O2- atoms to form distorted GdO8 hexagonal bipyramids that share edges with five GdO8 hexagonal bipyramids and edges with six TiO6 octahedra. There are a spread of Gd–O bond distances ranging from 2.22–2.55 Å. In the eleventh Gd3+ site, Gd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Gd–O bond distances ranging from 2.22–2.83 Å. In the twelfth Gd3+ site, Gd3+ is bonded to eight O2- atoms to form distorted GdO8 hexagonal bipyramids that share edges with two equivalent GdO8 hexagonal bipyramids, edges with six TiO6 octahedra, and an edgeedge with one TiO7 pentagonal bipyramid. There are a spread of Gd–O bond distances ranging from 2.17–2.59 Å. There are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to seven O2- atoms to form distorted TiO7 pentagonal bipyramids that share corners with two equivalent TiO6 octahedra, an edgeedge with one GdO8 hexagonal bipyramid, edges with two equivalent TiO6 octahedra, and edges with two equivalent GdO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 35°. There are a spread of Ti–O bond distances ranging from 2.04–2.16 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two TiO7 pentagonal bipyramids, and edges with two GdO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Ti–O bond distances ranging from 1.94–2.03 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra and corners with two GdO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 46°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one GdO7 pentagonal bipyramid, edges with four GdO8 hexagonal bipyramids, and an edgeedge with one TiO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. In the fifth Ti4+ site, Ti4+ is bonded to seven O2- atoms to form distorted TiO7 pentagonal bipyramids that share corners with two equivalent TiO6 octahedra, an edgeedge with one GdO8 hexagonal bipyramid, edges with two equivalent TiO6 octahedra, and edges with two equivalent GdO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–O bond distances ranging from 1.98–2.24 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one GdO7 pentagonal bipyramid, and edges with four GdO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with five GdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.95–1.99 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with six GdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with six GdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.98–2.00 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra and edges with four equivalent GdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one GdO7 pentagonal bipyramid, edges with three GdO8 hexagonal bipyramids, and an edgeedge with one TiO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.03 Å. In the twelfth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO6 octahedra, a cornercorner with one GdO7 pentagonal bipyramid, and edges with four GdO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form OGd3Ti tetrahedra that share corners with seven OGdTi3 tetrahedra and edges with three OGd3Ti tetrahedra. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Gd3+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form OGd3Ti tetrahedra that share corners with ten OGd2Ti2 tetrahedra and an edgeedge with one OGd3Ti tetrahedra. In the sixth O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form OGd3Ti tetrahedra that share corners with six OGd3Ti tetrahedra and edges with three OGd2Ti2 tetrahedra. In the seventh O2- site, O2- is bonded to two Gd3+ and two Ti4+ atoms to form a mixture of distorted corner and edge-sharing OGd2Ti2 tetrahedra. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to two Gd3+ and two equivalent Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form OGd3Ti tetrahedra that share corners with six OGd3Ti tetrahedra and edges with three OGd2Ti2 tetrahedra. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded to four Gd3+ atoms to form corner-sharing OGd4 tetrahedra. In the fourteenth O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form a mixture of distorted corner and edge-sharing OGd3Ti tetrahedra. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Gd3+ and two equivalent Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two equivalent Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Gd3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded to four Gd3+ atoms to form corner-sharing OGd4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form OGd3Ti tetrahedra that share corners with six OGd3Ti tetrahedra and edges with three OGd2Ti2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Gd3+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Gd3+ and three Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Gd3+ and three Ti4+ atoms to form distorted OGdTi3 tetrahedra that share corners with two OGd3Ti tetrahedra and edges with three OGd2Ti2 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Gd3+ and two Ti4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded to four Gd3+ atoms to form corner-sharing OGd4 tetrahedra. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Gd3+ and two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two equivalent Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded to three Gd3+ and one Ti4+ atom to form a mixture of distorted corner and edge-sharing OGd3Ti tetrahedra. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Gd3+ and two Ti4+ atoms. In the thirty-seventh O2- site, O2- is bonded to four Gd3+ atoms to form corner-sharing OGd4 tetrahedra. In the thirty-eighth O2- site, O2- is bo

36 MATERIALS SCIENCE↗

Materials Data on MgTi23O40 by Materials Project

MgTi23O40 crystallizes in the triclinic P1 space group. The structure is three-dimensional. 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 23–27°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. There are twenty-three inequivalent Ti+3.39+ sites. In the first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the third Ti+3.39+ site, Ti+3.39+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the fourth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the fifth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.16 Å. In the sixth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.21 Å. In the seventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–55°. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the eighth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–55°. There are a spread of Ti–O bond distances ranging from 1.86–2.24 Å. In the ninth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 31–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.20 Å. In the tenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.15 Å. In the eleventh Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twelfth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the thirteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.16 Å. In the fourteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–56°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the fifteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–56°. There are a spread of Ti–O bond distances ranging from 1.89–2.23 Å. In the seventeenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–55°. There are a spread of Ti–O bond distances ranging from 1.91–2.22 Å. In the eighteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–52°. There are a spread of Ti–O bond distances ranging from 1.92–2.24 Å. In the nineteenth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one MgO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.21 Å. In the twentieth Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.94–2.16 Å. In the twenty-first Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–40°. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the twenty-second Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. In the twenty-third Ti+3.39+ site, Ti+3.39+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–54°. There are a spread of Ti–O bond distances ranging from 1.92–2.20 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OMgTi3 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two Ti+3.39+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the fifteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.39+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.39+ atoms. In the thirty-fifth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-sixth O2- site, O2- is bonded to one Mg2+ and three Ti+3.39+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OTi4 trigonal pyramids and edges with four OMgTi3 trigonal pyramids. In the thirty-seventh O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-eighth O2- site, O2- is bonded to four Ti+3.39+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirty-ninth O

36 MATERIALS SCIENCE↗

Materials Data on Li6MnV3(PO4)6 by Materials Project

Li6V3Mn(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.59 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.16–2.29 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.63 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.21–2.30 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.54 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.59 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.58 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one VO6 octahedra, and a faceface with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.17–2.28 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra and faces with two VO6 octahedra. There are a spread of Li–O bond distances ranging from 2.20–2.28 Å. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.61 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.62 Å. There are six inequivalent V+3.33+ sites. In the first V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.08 Å. In the second V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the third V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the fourth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the fifth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. In the sixth V+3.33+ site, V+3.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of V–O bond distances ranging from 1.94–2.07 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.17 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 two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–48°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 15–49°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 29–48°. 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 MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra and corners with four VO6 octahedra. The corner-sharing octahedra tilt angles range from 30–47°. There is two shorter (1.54 Å) and two longer (1.56 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO6 octahedra, corners with two VO6 octahedra, and corners with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 17–49°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two LiO6 octahedra, and corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 16–50°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a linear geometry to one V+3.33+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one V+3.33+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one V+3.33+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one V+3.33+, and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+3.33+, and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn2+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a disto

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.26 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.96–2.25 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.32 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.95–2.16 Å. In the fifth 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 1.95–2.20 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.87–2.27 Å. In the seventh 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 1.98–2.43 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.88 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.01 Å. In the second V+4.67+ site, V+4.67+ 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 1.83–1.93 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.90–1.99 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–2.01 Å. In the fifth V+4.67+ site, V+4.67+ 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 1.84–1.92 Å. In the sixth V+4.67+ site, V+4.67+ 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 1.81–2.05 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.47–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–41°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of P–O bond distances ranging from 1.49–1.59 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 34–40°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–39°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–41°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.48–1.63 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–38°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–34°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–42°. There are a spread of P–O bond distances ranging from 1.48–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is

36 MATERIALS SCIENCE↗

Materials Data on TiMn9O20 by Materials Project

TiMn9O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.77–2.17 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.79–2.20 Å. There are eighteen inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.76–2.16 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two equivalent TiO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.16 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.16 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two equivalent TiO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.14 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.76–2.17 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.13 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.14 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.13 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.13 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.16 Å. In the eleventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.15 Å. In the twelfth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.13 Å. In the thirteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.16 Å. In the fourteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.15 Å. In the fifteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.13 Å. In the sixteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one TiO6 octahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.13 Å. In the seventeenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form distorted edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.16 Å. In the eighteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.14 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ti4+ and two Mn4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms. In the thirty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn4+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaLi7Fe8(SiO3)16 by Materials Project

NaLi7Fe8(SiO3)16 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.32–2.43 Å. There are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.61 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.62 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.61 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.61 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.61 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.62 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.08–2.59 Å. There are eight inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.19 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.20 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.18 Å. In the seventh Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the eighth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.20 Å. There are sixteen inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–60°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–58°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one Si4+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coord

36 MATERIALS SCIENCE↗

Materials Data on Li8TiMn7(PO4)12 by Materials Project

Li8TiMn7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.92–1.99 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.00 Å. In the third 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 1.95–2.00 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 1.91–1.99 Å. In the fifth 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 1.92–1.97 Å. In the sixth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.04 Å. In the seventh 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 1.95–2.00 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.03 Å. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Ti–O bond distances ranging from 1.89–2.04 Å. There are seven inequivalent Mn+3.43+ sites. In the first Mn+3.43+ site, Mn+3.43+ 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 1.91–2.13 Å. In the second Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.05 Å. In the third Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Mn–O bond distances ranging from 1.89–2.12 Å. In the fourth Mn+3.43+ site, Mn+3.43+ 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 1.90–2.03 Å. In the fifth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Mn–O bond distances ranging from 1.88–2.06 Å. In the sixth Mn+3.43+ site, Mn+3.43+ 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 1.92–2.15 Å. In the seventh Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 trigonal pyramids. There are a spread of Mn–O bond distances ranging from 1.92–2.13 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 TiO6 octahedra, corners with three MnO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 21–37°. There are a spread of P–O bond distances ranging from 1.52–1.57 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 28–36°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 28–36°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–35°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 13–42°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 12–44°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 12–42°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–44°. There is one shorter (1.51 Å) and three longer (1.56 Å) P–O bond length. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three MnO6 octahedra, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 12–44°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–42°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 13–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with three LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 11–44°. There are a spread of P–O bond distances ranging from 1.52–1.56 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+3.43+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti4+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Ti4+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Ti4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thi

36 MATERIALS SCIENCE↗

Materials Data on Mn7Fe3O20 by Materials Project

Mn7Fe3O20 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Mn+4.43+ sites. In the first Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.15 Å. In the second Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.15 Å. In the third Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.16 Å. In the fourth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.13 Å. In the fifth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.13 Å. In the sixth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.75–2.15 Å. In the seventh Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with three MnO6 octahedra and edges with three FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.16 Å. In the eighth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with three MnO6 octahedra and edges with three FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.14 Å. In the ninth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with three MnO6 octahedra and edges with three FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.14 Å. In the tenth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two equivalent FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.78–2.14 Å. In the eleventh Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with three MnO6 octahedra and edges with three FeO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.16 Å. In the twelfth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two equivalent FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.77–2.16 Å. In the thirteenth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.76–2.18 Å. In the fourteenth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.76–2.18 Å. There are six inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share an edgeedge with one FeO6 octahedra and edges with five MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.81–2.24 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share an edgeedge with one FeO6 octahedra and edges with five MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.81–2.24 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.80–2.22 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share an edgeedge with one FeO6 octahedra and edges with five MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.79–2.19 Å. In the fifth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.80–2.18 Å. In the sixth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share an edgeedge with one FeO6 octahedra and edges with five MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.79–2.19 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+4.43+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+4.43+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn+4.43+ and two Fe3+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+4.43+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+4.43+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+4.43+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Mn+4.43+ and two Fe3+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+4.43+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+4.43+ atoms. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+4.43+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.43+ and one Fe3+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn+4.43+ and two Fe3+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn+4.43+ and two Fe3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3P8O29 by Materials Project

Li4V3P8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.32 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.26 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.88–2.35 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.97–2.11 Å. In the fifth 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 1.94–2.16 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one VO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.27 Å. In the seventh 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 1.93–2.17 Å. In the eighth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.85 Å. There are six inequivalent V+4.67+ sites. In the first V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.85–2.02 Å. In the second V+4.67+ site, V+4.67+ 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 1.80–1.98 Å. In the third V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.82–1.98 Å. In the fourth V+4.67+ site, V+4.67+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of V–O bond distances ranging from 1.87–2.00 Å. In the fifth V+4.67+ site, V+4.67+ 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 1.83–2.00 Å. In the sixth V+4.67+ site, V+4.67+ 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 1.86–1.93 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–40°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–35°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra. The corner-sharing octahedra tilt angles range from 31–36°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–43°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–37°. There are a spread of P–O bond distances ranging from 1.49–1.62 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–37°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–47°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–38°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three VO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–33°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the fourteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–43°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two VO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–45°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. There are fifty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fourteenth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V+4.67+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Li1+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one V+4.67+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one V+4.67+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorte

36 MATERIALS SCIENCE↗

Materials Data on Ba8Sr2Yb5(Cu3O7)5 by Materials Project

Ba8Sr2Yb5(Cu3O7)5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are eight inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–2.98 Å. In the second Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.74–2.96 Å. In the third Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–2.96 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–2.95 Å. In the fifth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.73–2.98 Å. In the sixth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–2.96 Å. In the seventh Ba2+ site, Ba2+ is bonded in a distorted q6 geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.80–2.94 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Ba–O bond distances ranging from 2.75–2.95 Å. There are two inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.66–2.93 Å. In the second Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.66–2.94 Å. There are five inequivalent Yb3+ sites. In the first Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.42–2.44 Å. In the second Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.42–2.45 Å. In the third Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.42–2.45 Å. In the fourth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.42–2.44 Å. In the fifth Yb3+ site, Yb3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Yb–O bond distances ranging from 2.42–2.45 Å. There are fifteen inequivalent Cu+2.33+ sites. In the first Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.39 Å. In the second Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.39 Å. In the third Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.38 Å. In the fourth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.40 Å. In the fifth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.39 Å. In the sixth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.31 Å. In the seventh Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.36 Å. In the eighth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.31 Å. In the ninth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.31 Å. In the tenth Cu+2.33+ site, Cu+2.33+ is bonded to five O2- atoms to form corner-sharing CuO5 square pyramids. There are a spread of Cu–O bond distances ranging from 1.92–2.32 Å. In the eleventh Cu+2.33+ site, Cu+2.33+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.93 Å. In the twelfth Cu+2.33+ site, Cu+2.33+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.93 Å. In the thirteenth Cu+2.33+ site, Cu+2.33+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.95 Å. In the fourteenth Cu+2.33+ site, Cu+2.33+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.86–1.93 Å. In the fifteenth Cu+2.33+ site, Cu+2.33+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.87–1.93 Å. There are thirty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the second O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the third O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the fourth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to two Ba2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, one Sr2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, one Sr2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the ninth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, one Sr2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the tenth O2- site, O2- is bonded in a 6-coordinate geometry to one Ba2+, one Sr2+, two Yb3+, and two equivalent Cu+2.33+ atoms. In the eleventh O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 16–17°. In the twelfth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 16–17°. In the thirteenth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the fourteenth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 16–17°. In the fifteenth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedra tilt angles range from 16–17°. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two Cu+2.33+ atoms. In the seventeenth O2- site, O2- is bonded to four Ba2+ and two Cu+2.33+ atoms to form a mixture of distorted edge and corner-sharing OBa4Cu2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two Cu+2.33+ atoms. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two Cu+2.33+ atoms. In the twentieth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Sr2+, and two Cu+2.33+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Cu+2.33+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two Cu+2.33+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Cu+2.33+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+, two equivalent Sr2+, and two Cu+2.33+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Cu+2.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the thirtieth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the thirty-first O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the thirty-second O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the thirty-third O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Ba2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Yb3+, and two Cu+2.33+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 6-coordinate geometry to two equivalent Sr2+, two equivalent Yb3+, and two Cu+2.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na4Ca7MnSi12(HO9)4 by Materials Project

Na4Ca7MnSi12(HO9)4 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 4-coordinate geometry to one H1+ and eight O2- atoms. The Na–H bond length is 2.29 Å. There are a spread of Na–O bond distances ranging from 2.31–3.09 Å. In the second Na1+ site, Na1+ is bonded in a 4-coordinate geometry to one H1+ and eight O2- atoms. The Na–H bond length is 2.30 Å. There are a spread of Na–O bond distances ranging from 2.31–3.09 Å. In the third Na1+ site, Na1+ is bonded in a 4-coordinate geometry to one H1+ and eight O2- atoms. The Na–H bond length is 2.30 Å. There are a spread of Na–O bond distances ranging from 2.31–3.08 Å. In the fourth Na1+ site, Na1+ is bonded in a 4-coordinate geometry to one H1+ and eight O2- atoms. The Na–H bond length is 2.30 Å. There are a spread of Na–O bond distances ranging from 2.32–3.08 Å. There are seven inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra, edges with two CaO6 octahedra, and edges with two equivalent MnO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.36–2.47 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.33–2.46 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.34–2.46 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.34–2.45 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.45 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.31–2.45 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form CaO6 octahedra that share corners with six SiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with three CaO6 octahedra. There are a spread of Ca–O bond distances ranging from 2.32–2.44 Å. Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six SiO4 tetrahedra and edges with four CaO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.23–2.42 Å. There are twelve inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–67°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–65°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–65°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 39–64°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–66°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–65°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–65°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 41–66°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with four CaO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CaO6 octahedra, and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a distorted linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.08 Å) and one longer (1.39 Å) H–O bond length. In the second H1+ site, H1+ is bonded in a distorted linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.08 Å) and one longer (1.40 Å) H–O bond length. In the third H1+ site, H1+ is bonded in a distorted linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.08 Å) and one longer (1.42 Å) H–O bond length. In the fourth H1+ site, H1+ is bonded in a distorted linear geometry to one Na1+ and two O2- atoms. There is one shorter (1.08 Å) and one longer (1.39 Å) H–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Mn2+, and one Si4+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ca2+ and one Si4+ atom. In the fifth O2- site, O2- is bonded to one Na1+, one Ca2+, one Mn2+, and one Si4+ atom to form distorted corner-sharing ONaCaMnSi trigonal pyramids. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, two Ca2+, and one Si4+ atom. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, two Ca2+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Na1+, two Ca2+, and one Si4+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Si4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Si4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+ and two Si4+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Na1+ and two Si4+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Na1+ and two Si4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Mn2+, one Si4+, and one H1+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Mn2+, and one Si4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the twenty-ninth O2- site, O2- is bonded to two Ca2+, one Mn2+, and one Si4+ atom to form distorted corner-sharing OCa2MnSi tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted tetrahedral geometry to three Ca2+ and one Si4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Ca2+ and one Si4+ atom. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+, one Mn2+, and one Si4+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom. In the thirty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, one Ca2+, one Si4+, and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ta2O5 by Materials Project

Ta2O5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twenty-two inequivalent Ta5+ sites. In the first Ta5+ site, Ta5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TaO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 4–31°. There are a spread of Ta–O bond distances ranging from 1.95–2.09 Å. In the second Ta5+ site, Ta5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–53°. There are a spread of Ta–O bond distances ranging from 1.94–2.09 Å. In the third Ta5+ site, Ta5+ is bonded to six O2- atoms to form distorted TaO6 pentagonal pyramids that share corners with two TaO6 octahedra, corners with two equivalent TaO6 pentagonal pyramids, an edgeedge with one TaO6 octahedra, an edgeedge with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 25–26°. There are a spread of Ta–O bond distances ranging from 1.96–2.11 Å. In the fourth Ta5+ site, Ta5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ta–O bond distances ranging from 1.94–2.18 Å. In the fifth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two equivalent TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, corners with four TaO6 pentagonal pyramids, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 15°. There are a spread of Ta–O bond distances ranging from 1.90–2.12 Å. In the sixth Ta5+ site, Ta5+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TaO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 22–25°. There are a spread of Ta–O bond distances ranging from 1.95–2.11 Å. In the seventh Ta5+ site, Ta5+ is bonded to six O2- atoms to form distorted TaO6 pentagonal pyramids that share corners with two TaO6 octahedra, corners with two equivalent TaO6 pentagonal pyramids, an edgeedge with one TaO6 octahedra, an edgeedge with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 22–28°. There are a spread of Ta–O bond distances ranging from 1.96–2.07 Å. In the eighth Ta5+ site, Ta5+ is bonded to seven O2- atoms to form distorted TaO7 pentagonal bipyramids that share corners with two TaO6 octahedra, corners with two equivalent TaO7 pentagonal bipyramids, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of Ta–O bond distances ranging from 1.94–2.45 Å. In the ninth Ta5+ site, Ta5+ is bonded to six O2- atoms to form distorted TaO6 pentagonal pyramids that share corners with two TaO6 octahedra, corners with two equivalent TaO6 pentagonal pyramids, an edgeedge with one TaO6 octahedra, an edgeedge with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 26–27°. There are a spread of Ta–O bond distances ranging from 1.96–2.09 Å. In the tenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form distorted TaO6 octahedra that share corners with five TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, a cornercorner with one TaO6 pentagonal pyramid, and an edgeedge with one TaO6 octahedra. The corner-sharing octahedra tilt angles range from 6–58°. There are a spread of Ta–O bond distances ranging from 1.88–2.15 Å. In the eleventh Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, corners with two TaO6 pentagonal pyramids, an edgeedge with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 10–37°. There are a spread of Ta–O bond distances ranging from 1.93–2.07 Å. In the twelfth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TaO6 octahedra, corners with two TaO7 pentagonal bipyramids, and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 13–37°. There are a spread of Ta–O bond distances ranging from 1.93–2.13 Å. In the thirteenth Ta5+ site, Ta5+ is bonded to seven O2- atoms to form distorted TaO7 pentagonal bipyramids that share corners with two TaO6 octahedra, corners with two equivalent TaO7 pentagonal bipyramids, edges with two TaO6 octahedra, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 14–35°. There are a spread of Ta–O bond distances ranging from 1.94–2.42 Å. In the fourteenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with two equivalent TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, corners with three TaO6 pentagonal pyramids, an edgeedge with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 8°. There are a spread of Ta–O bond distances ranging from 1.93–2.09 Å. In the fifteenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 7–41°. There are a spread of Ta–O bond distances ranging from 1.93–2.06 Å. In the sixteenth Ta5+ site, Ta5+ is bonded to seven O2- atoms to form distorted TaO7 pentagonal bipyramids that share corners with two TaO6 octahedra, corners with two equivalent TaO7 pentagonal bipyramids, a cornercorner with one TaO6 pentagonal pyramid, an edgeedge with one TaO6 octahedra, and edges with two TaO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 38–46°. There are a spread of Ta–O bond distances ranging from 1.94–2.47 Å. In the seventeenth Ta5+ site, Ta5+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ta–O bond distances ranging from 1.94–2.57 Å. In the eighteenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form distorted TaO6 pentagonal pyramids that share corners with three TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, corners with three TaO6 pentagonal pyramids, and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 38–66°. There are a spread of Ta–O bond distances ranging from 1.92–2.19 Å. In the nineteenth Ta5+ site, Ta5+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TaO6 octahedra. The corner-sharing octahedra tilt angles range from 10–41°. There are a spread of Ta–O bond distances ranging from 1.93–2.09 Å. In the twentieth Ta5+ site, Ta5+ is bonded to seven O2- atoms to form distorted TaO7 pentagonal bipyramids that share corners with three TaO6 octahedra, corners with two equivalent TaO7 pentagonal bipyramids, edges with two TaO6 octahedra, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 7–51°. There are a spread of Ta–O bond distances ranging from 1.94–2.41 Å. In the twenty-first Ta5+ site, Ta5+ is bonded to six O2- atoms to form TaO6 octahedra that share corners with three TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, corners with two TaO6 pentagonal pyramids, an edgeedge with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 9–38°. There are a spread of Ta–O bond distances ranging from 1.93–2.06 Å. In the twenty-second Ta5+ site, Ta5+ is bonded to six O2- atoms to form distorted TaO6 octahedra that share corners with six TaO6 octahedra, a cornercorner with one TaO7 pentagonal bipyramid, and an edgeedge with one TaO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 18–58°. There are a spread of Ta–O bond distances ranging from 1.93–2.16 Å. There are fifty-five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta5+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta5+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the sixth O2- site, O2- is bonded in a distorted linear geometry to two Ta5+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to three Ta5+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Ta5+ atoms. In the ninth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the eleventh O2- site, O2- is bonded in a linear geometry to two Ta5+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta5+ atoms. In the thirteenth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the fourteenth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ta5+ atoms. In the sixteenth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ta5+ atoms. In the nineteenth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ta5+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ta5+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ta5+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ta5+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a linear geometry to two Ta5+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the twenty-seventh O2- site, O2- is bonded in a trigonal planar geometry to three Ta5+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta5+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ta5+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three Ta5+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ta5+ atoms. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Ta5+ atoms. In the thirty-fourth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ta5+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to three Ta5+ atoms. In the thirty-seventh O2- site, O2- is bonded in a trigonal planar geometry to three Ta5+ atoms. In the thirty-eighth O2- site, O2- is bonded in a linear geometry to two equivalent Ta5+ atoms. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ta5+ atoms. In the fortieth O

36 MATERIALS SCIENCE↗