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Materials Data on Lu2TiO5 by Materials Project

Lu2TiO5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.20–2.38 Å. In the second Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.15–2.47 Å. In the third Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.49 Å. In the fourth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.19–2.82 Å. In the fifth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.11–2.42 Å. In the sixth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.15–2.47 Å. In the seventh Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.10–2.32 Å. In the eighth Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with five TiO6 octahedra and edges with two equivalent LuO7 pentagonal bipyramids. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Lu–O bond distances ranging from 2.20–2.27 Å. In the ninth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.12–2.40 Å. In the tenth Lu3+ site, Lu3+ is bonded to seven O2- atoms to form distorted LuO7 pentagonal bipyramids that share corners with two TiO6 octahedra, edges with two equivalent LuO6 octahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Lu–O bond distances ranging from 2.19–2.51 Å. In the eleventh Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.57 Å. In the twelfth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.16–2.51 Å. In the thirteenth Lu3+ site, Lu3+ is bonded in a distorted hexagonal planar geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.09–2.44 Å. In the fourteenth Lu3+ site, Lu3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Lu–O bond distances ranging from 2.13–2.47 Å. In the fifteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.16–2.55 Å. In the sixteenth Lu3+ site, Lu3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Lu–O bond distances ranging from 2.14–2.78 Å. There are eight inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to five O2- atoms to form distorted corner-sharing TiO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 33°. There are a spread of Ti–O bond distances ranging from 1.81–2.09 Å. In the second Ti4+ site, Ti4+ is bonded in a distorted octahedral geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.31 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LuO7 pentagonal bipyramid, and an edgeedge with one LuO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–61°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the fourth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.84–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.87–2.30 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one LuO6 octahedra, corners with two TiO6 octahedra, and a cornercorner with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 49–59°. 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 TiO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with three TiO6 octahedra, a cornercorner with one LuO7 pentagonal bipyramid, and an edgeedge with one LuO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 30–63°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. In the eighth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.79–2.08 Å. There are forty inequivalent O2- sites. In the first O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form OLu2Ti2 tetrahedra that share corners with three OLu4 tetrahedra and an edgeedge with one OLu2Ti2 tetrahedra. In the second O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLu2Ti2 tetrahedra. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ atoms. In the fourth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with seven OLu3Ti tetrahedra, a cornercorner with one OLu3Ti trigonal pyramid, and edges with three OLu2Ti2 tetrahedra. In the fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form distorted OLu3Ti trigonal pyramids that share corners with eight OLu4 tetrahedra and edges with three OLu2Ti2 tetrahedra. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the seventh O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of distorted edge and corner-sharing OLu4 tetrahedra. In the eighth O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLu2Ti2 tetrahedra. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Lu3+ atoms. In the tenth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with seven OLu4 tetrahedra and edges with three OLu2Ti2 tetrahedra. In the eleventh O2- site, O2- is bonded to four Lu3+ atoms to form OLu4 tetrahedra that share corners with seven OLu3Ti tetrahedra, a cornercorner with one OLu3Ti trigonal pyramid, and edges with two OLu2Ti2 tetrahedra. In the twelfth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OLu3Ti tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Lu3+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Lu3+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Lu3+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted edge and corner-sharing OLu3Ti tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Lu3+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Lu3+ atoms. In the twenty-first O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of edge and corner-sharing OLu4 tetrahedra. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded to two Lu3+ and two Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLu2Ti2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of edge and corner-sharing OLu4 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OLu3Ti tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Lu3+ atoms to form distorted OLu4 tetrahedra that share corners with four OLu4 tetrahedra and edges with three OLu3Ti tetrahedra. In the twenty-seventh O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with five OLu3Ti tetrahedra, edges with three OLu4 tetrahedra, and an edgeedge with one OLu3Ti trigonal pyramid. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-second O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of edge and corner-sharing OLu3Ti tetrahedra. In the thirty-third O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with four OLu3Ti tetrahedra and an edgeedge with one OLu4 tetrahedra. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded to four Lu3+ atoms to form corner-sharing OLu4 tetrahedra. In the thirty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the thirty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three Lu3+ and one Ti4+ atom. In the thirty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Lu3+ and two Ti4+ atoms. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Lu3+ and two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Lu2TiO5 by Materials Project

Lu2TiO5 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Lu3+ is bonded to six O2- atoms to form distorted LuO6 pentagonal pyramids that share a cornercorner with one TiO6 octahedra, corners with three equivalent LuO6 pentagonal pyramids, edges with three equivalent TiO6 octahedra, and edges with three equivalent LuO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 29°. There are a spread of Lu–O bond distances ranging from 2.14–2.31 Å. Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent LuO6 pentagonal pyramids, and edges with six equivalent LuO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 34°. There is two shorter (1.88 Å) and four longer (2.11 Å) Ti–O bond length. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Lu3+ and one Ti4+ atom. In the second O2- site, O2- is bonded to three equivalent Lu3+ and one Ti4+ atom to form distorted OLu3Ti trigonal pyramids that share a cornercorner with one OLu2Ti2 tetrahedra, corners with three equivalent OLu3Ti trigonal pyramids, edges with two equivalent OLu2Ti2 tetrahedra, and edges with two equivalent OLu3Ti trigonal pyramids. In the third O2- site, O2- is bonded to two equivalent Lu3+ and two equivalent Ti4+ atoms to form distorted OLu2Ti2 tetrahedra that share corners with two equivalent OLu2Ti2 tetrahedra, corners with two equivalent OLu3Ti trigonal pyramids, and edges with four equivalent OLu3Ti trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Lu2TiO5 by Materials Project

Lu2TiO5 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to seven O2- atoms to form distorted LuO7 hexagonal pyramids that share corners with two equivalent LuO7 hexagonal pyramids, corners with three equivalent TiO5 trigonal bipyramids, edges with five LuO7 hexagonal pyramids, and edges with two equivalent TiO5 trigonal bipyramids. There are a spread of Lu–O bond distances ranging from 2.23–2.33 Å. In the second Lu3+ site, Lu3+ is bonded to seven O2- atoms to form distorted LuO7 hexagonal pyramids that share corners with two equivalent LuO7 hexagonal pyramids, a cornercorner with one TiO5 trigonal bipyramid, edges with seven LuO7 hexagonal pyramids, and edges with two equivalent TiO5 trigonal bipyramids. There are a spread of Lu–O bond distances ranging from 2.28–2.32 Å. Ti4+ is bonded to five O2- atoms to form distorted TiO5 trigonal bipyramids that share corners with four LuO7 hexagonal pyramids, corners with two equivalent TiO5 trigonal bipyramids, and edges with four LuO7 hexagonal pyramids. There are a spread of Ti–O bond distances ranging from 1.79–1.95 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Lu3+ atoms to form a mixture of corner and edge-sharing OLu4 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Lu3+ and one Ti4+ atom. In the third O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form distorted OLu3Ti tetrahedra that share corners with nine OLu4 tetrahedra and edges with five OLu3Ti tetrahedra. In the fourth O2- site, O2- is bonded to two Lu3+ and two equivalent Ti4+ atoms to form distorted OLu2Ti2 tetrahedra that share corners with six OLu4 tetrahedra and edges with five OLu3Ti tetrahedra. In the fifth O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form OLu3Ti tetrahedra that share corners with nine OLu4 tetrahedra and edges with four OLu3Ti tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Lu2TiO5 by Materials Project

Lu2TiO5 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are two inequivalent Lu3+ sites. In the first Lu3+ site, Lu3+ is bonded to six O2- atoms to form distorted LuO6 octahedra that share corners with two equivalent LuO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with six LuO6 octahedra. The corner-sharing octahedra tilt angles range from 57–66°. There are a spread of Lu–O bond distances ranging from 2.23–2.28 Å. In the second Lu3+ site, Lu3+ is bonded to six O2- atoms to form LuO6 octahedra that share corners with four LuO6 octahedra, corners with four equivalent TiO6 octahedra, and edges with four LuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Lu–O bond distances ranging from 2.17–2.28 Å. Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with eight LuO6 octahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 34–66°. There are a spread of Ti–O bond distances ranging from 1.84–2.34 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded to four Lu3+ atoms to form OLu4 tetrahedra that share corners with ten OLu4 tetrahedra and edges with three OLu3Ti tetrahedra. In the second O2- site, O2- is bonded in a 2-coordinate geometry to three equivalent Ti4+ atoms. In the third O2- site, O2- is bonded to three Lu3+ and one Ti4+ atom to form a mixture of distorted corner and edge-sharing OLu3Ti tetrahedra. In the fourth O2- site, O2- is bonded to three equivalent Lu3+ and one Ti4+ atom to form a mixture of distorted corner and edge-sharing OLu3Ti tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Lu3+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗