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Materials Data on TiO2 by Materials Project

TiO2 is quartz (alpha) structured and crystallizes in the trigonal P3_121 space group. The structure is three-dimensional. Ti4+ is bonded to four equivalent O2- atoms to form corner-sharing TiO4 tetrahedra. All Ti–O bond lengths are 1.83 Å. O2- is bonded in a bent 150 degrees geometry to two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Ti4+ sites. In the first 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 1.78–2.34 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 28°. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a linear geometry to two Ti4+ atoms. In the fourth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the orthorhombic P2_12_12_1 space group. The structure is three-dimensional. Ti4+ is bonded to five O2- atoms to form a mixture of distorted edge and corner-sharing TiO5 trigonal bipyramids. There are a spread of Ti–O bond distances ranging from 1.78–2.05 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is beta Vanadium nitride-like structured and crystallizes in the orthorhombic Pnma 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 a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.89–2.13 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–52°. There are a spread of Ti–O bond distances ranging from 1.89–2.15 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is beta Vanadium nitride-like structured and crystallizes in the hexagonal P6_3mc 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 a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.96–2.00 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There is three shorter (1.96 Å) and three longer (2.01 Å) Ti–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three equivalent Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is beta Vanadium nitride-like structured and crystallizes in the orthorhombic Pnma 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 a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is Rutile-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.00 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is Hydrophilite-like structured and crystallizes in the orthorhombic Pbcn 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 a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ti–O bond distances ranging from 1.93–2.04 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is Low Tridymite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eighteen inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. All Ti–O bond lengths are 1.83 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.83 Å) and one longer (1.84 Å) Ti–O bond length. In the third Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.82 Å) and two longer (1.83 Å) Ti–O bond length. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.82 Å) and two longer (1.83 Å) Ti–O bond length. In the fifth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.81–1.83 Å. In the sixth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is one shorter (1.81 Å) and three longer (1.82 Å) Ti–O bond length. In the seventh Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.82 Å) and one longer (1.83 Å) Ti–O bond length. In the eighth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.83 Å) and one longer (1.84 Å) Ti–O bond length. In the ninth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.82 Å) and two longer (1.83 Å) Ti–O bond length. In the tenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is one shorter (1.82 Å) and three longer (1.83 Å) Ti–O bond length. In the eleventh Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is one shorter (1.82 Å) and three longer (1.83 Å) Ti–O bond length. In the twelfth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.83 Å) and one longer (1.84 Å) Ti–O bond length. In the thirteenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.83 Å) and one longer (1.84 Å) Ti–O bond length. In the fourteenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.82 Å) and two longer (1.83 Å) Ti–O bond length. In the fifteenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.83 Å) and one longer (1.84 Å) Ti–O bond length. In the sixteenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.82 Å) and two longer (1.83 Å) Ti–O bond length. In the seventeenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is three shorter (1.82 Å) and one longer (1.83 Å) Ti–O bond length. In the eighteenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.81–1.83 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to 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 bent 150 degrees geometry to two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. 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 bent 150 degrees geometry to two Ti4+ atoms. In the thirty-first O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ 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 32–56°. There are a spread of Ti–O bond distances ranging from 1.81–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.15 Å. In the third Ti4+ site, Ti4+ 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 32–56°. There are a spread of Ti–O bond distances ranging from 1.84–2.14 Å. In the fourth Ti4+ site, Ti4+ 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 32–56°. There are a spread of Ti–O bond distances ranging from 1.82–2.09 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a water-like geometry to two equivalent Ti4+ atoms. In the fifth O2- site, O2- is bonded in a water-like geometry to two equivalent Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is beta Vanadium nitride-like structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is beta Vanadium nitride-like structured and crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. Ti4+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is Cyanogen Chloride-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is zero-dimensional and consists of two titanium dihydroxide molecules. Ti4+ is bonded in a linear geometry to two equivalent O2- atoms. Both Ti–O bond lengths are 1.71 Å. O2- is bonded in a single-bond geometry to one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. 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 three TiO4 tetrahedra and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO4 tetrahedra and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.23 Å. In the third Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Ti–O bond distances ranging from 1.78–1.94 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO4 tetrahedra and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. In the fifth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Ti–O bond distances ranging from 1.81–2.01 Å. In the sixth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Ti–O bond distances ranging from 1.78–1.92 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO4 tetrahedra and edges with two equivalent TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the eighth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Ti–O bond distances ranging from 1.76–1.97 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with five TiO4 tetrahedra and edges with three TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.15 Å. In the tenth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Ti–O bond distances ranging from 1.78–1.95 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO4 tetrahedra and edges with four TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.16 Å. In the twelfth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Ti–O bond distances ranging from 1.80–2.04 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Ti4+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted tetrahedral geometry to four Ti4+ atoms. In the fifth O2- site, O2- is bonded in a water-like geometry to two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a water-like geometry to two equivalent Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted tetrahedral geometry to four Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.20 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.83–2.23 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.22 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one TiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.21 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.09 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.10 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the twelfth Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Ti–O bond distances ranging from 1.84–1.89 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Ti4+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a water-like geometry to two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is Fluorite structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Ti4+ is bonded in a body-centered cubic geometry to eight equivalent O2- atoms. All Ti–O bond lengths are 2.10 Å. O2- is bonded to four equivalent Ti4+ atoms to form a mixture of edge and corner-sharing OTi4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 is beta Vanadium nitride-like structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are three shorter (1.99 Å) and six longer (2.26 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are six shorter (2.10 Å) and three longer (2.12 Å) Ti–O bond lengths. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted edge and corner-sharing OTi4 tetrahedra. In the second O2- site, O2- is bonded in a 5-coordinate geometry to five Ti4+ atoms.

36 MATERIALS SCIENCE↗