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Materials Data on Ti2O3 by Materials Project

Ti2O3 is Corundum structured and crystallizes in the trigonal R-3c space group. The structure is three-dimensional. Ti3+ is bonded to six equivalent O2- atoms to form a mixture of face, edge, and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are three shorter (2.02 Å) and three longer (2.08 Å) Ti–O bond lengths. O2- is bonded to four equivalent Ti3+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids.

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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.

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Materials Data on Ti3O by Materials Project

Ti3O crystallizes in the hexagonal P6_3/mcm space group. The structure is one-dimensional and consists of one Ti3O ribbon oriented in the (0, 0, 1) direction. Ti is bonded in a 2-coordinate geometry to two equivalent O atoms. Both Ti–O bond lengths are 2.09 Å. O is bonded to six equivalent Ti atoms to form face-sharing OTi6 octahedra.

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Materials Data on Ti6O by Materials Project

Ti6O is Magnesium structured and crystallizes in the trigonal P-31c space group. The structure is zero-dimensional and consists of two Ti6O clusters. Ti is bonded in a single-bond geometry to one O atom. The Ti–O bond length is 2.10 Å. O is bonded in an octahedral geometry to six equivalent Ti atoms.

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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.

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Materials Data on Ti7O8 by Materials Project

Ti7O8 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are seven inequivalent Ti+2.29+ sites. In the first Ti+2.29+ site, Ti+2.29+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one TiO5 square pyramid, a cornercorner with one TiO5 trigonal bipyramid, edges with six TiO6 octahedra, and edges with two equivalent TiO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 7–13°. There are a spread of Ti–O bond distances ranging from 2.02–2.21 Å. In the second Ti+2.29+ site, Ti+2.29+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one TiO5 trigonal bipyramid, edges with six TiO6 octahedra, and edges with three equivalent TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 1–18°. There are a spread of Ti–O bond distances ranging from 2.02–2.19 Å. In the third Ti+2.29+ site, Ti+2.29+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, a cornercorner with one TiO5 square pyramid, a cornercorner with one TiO5 trigonal bipyramid, edges with eight TiO6 octahedra, and edges with two equivalent TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Ti–O bond distances ranging from 2.07–2.22 Å. In the fourth Ti+2.29+ site, Ti+2.29+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are three shorter (2.01 Å) and one longer (2.11 Å) Ti–O bond lengths. In the fifth Ti+2.29+ site, Ti+2.29+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three TiO6 octahedra, edges with eight TiO6 octahedra, an edgeedge with one TiO5 square pyramid, and an edgeedge with one TiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Ti–O bond distances ranging from 2.04–2.17 Å. In the sixth Ti+2.29+ site, Ti+2.29+ is bonded to five O2- atoms to form TiO5 trigonal bipyramids that share corners with three TiO6 octahedra, a cornercorner with one TiO5 square pyramid, corners with two equivalent TiO5 trigonal bipyramids, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–17°. There are a spread of Ti–O bond distances ranging from 2.02–2.08 Å. In the seventh Ti+2.29+ site, Ti+2.29+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two TiO6 octahedra, corners with two equivalent TiO5 square pyramids, a cornercorner with one TiO5 trigonal bipyramid, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–15°. There are a spread of Ti–O bond distances ranging from 1.99–2.23 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to five Ti+2.29+ atoms to form OTi5 square pyramids that share corners with four OTi5 square pyramids, edges with three equivalent OTi6 octahedra, and edges with five OTi5 square pyramids. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+2.29+ atoms. In the third O2- site, O2- is bonded to five Ti+2.29+ atoms to form OTi5 square pyramids that share a cornercorner with one OTi6 octahedra, corners with four OTi5 square pyramids, edges with two equivalent OTi6 octahedra, and edges with three OTi5 square pyramids. The corner-sharing octahedral tilt angles are 8°. In the fourth O2- site, O2- is bonded to five Ti+2.29+ atoms to form OTi5 square pyramids that share corners with four OTi5 square pyramids, edges with three equivalent OTi6 octahedra, and edges with five OTi5 square pyramids. In the fifth O2- site, O2- is bonded to five Ti+2.29+ atoms to form OTi5 square pyramids that share a cornercorner with one OTi6 octahedra, corners with four OTi5 square pyramids, edges with two equivalent OTi6 octahedra, and edges with three OTi5 square pyramids. The corner-sharing octahedral tilt angles are 7°. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+2.29+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+2.29+ atoms. In the eighth O2- site, O2- is bonded to six Ti+2.29+ atoms to form OTi6 octahedra that share corners with two equivalent OTi6 octahedra, corners with two OTi5 square pyramids, and edges with ten OTi5 square pyramids. The corner-sharing octahedral tilt angles are 17°.

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Materials Data on Ti3O5 by Materials Project

Ti3O5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are three inequivalent Ti+3.33+ sites. In the first Ti+3.33+ site, Ti+3.33+ 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 11–38°. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the second Ti+3.33+ site, Ti+3.33+ 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 11–57°. There are a spread of Ti–O bond distances ranging from 1.92–2.25 Å. In the third Ti+3.33+ site, Ti+3.33+ 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 30–57°. There are a spread of Ti–O bond distances ranging from 1.89–2.21 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti+3.33+ atoms. In the second O2- site, O2- is bonded to four Ti+3.33+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.33+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.33+ atoms to form a mixture of distorted edge and corner-sharing OTi4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ti+3.33+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids.

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Materials Data on Ti7O13 by Materials Project

Ti7O13 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Ti+3.71+ sites. In the first Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of distorted corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.87–2.19 Å. In the second Ti+3.71+ site, Ti+3.71+ 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 41–61°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the third Ti+3.71+ site, Ti+3.71+ 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 41–54°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the fourth Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form a mixture of distorted corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the fifth Ti+3.71+ site, Ti+3.71+ 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 44–61°. There are a spread of Ti–O bond distances ranging from 1.88–2.15 Å. In the sixth Ti+3.71+ site, Ti+3.71+ 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 46–52°. There are a spread of Ti–O bond distances ranging from 2.00–2.03 Å. In the seventh Ti+3.71+ site, Ti+3.71+ 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 46–54°. There are a spread of Ti–O bond distances ranging from 1.94–2.09 Å. In the eighth Ti+3.71+ site, Ti+3.71+ 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 50–52°. There are a spread of Ti–O bond distances ranging from 1.98–2.03 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.71+ atoms. In the third O2- site, O2- is bonded to four Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.71+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.71+ atoms. In the eleventh O2- site, O2- is bonded to four Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.71+ atoms. In the thirteenth O2- site, O2- is bonded to four Ti+3.71+ atoms to form distorted edge-sharing OTi4 trigonal pyramids.

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Materials Data on Ti3O5 by Materials Project

Ti3O5 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are two inequivalent Ti+3.33+ sites. In the first Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form a mixture of distorted corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Ti–O bond distances ranging from 1.90–2.19 Å. In the second Ti+3.33+ site, Ti+3.33+ 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 41–55°. There are a spread of Ti–O bond distances ranging from 2.01–2.05 Å. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.33+ atoms. In the second O2- site, O2- is bonded to four Ti+3.33+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti+3.33+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids.

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Materials Data on Ti3O by Materials Project

Ti3O is Bismuth triodide-like structured and crystallizes in the trigonal P312 space group. The structure is two-dimensional and consists of three Ti3O sheets oriented in the (0, 0, 1) direction. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in an L-shaped geometry to two equivalent O atoms. There are one shorter (2.12 Å) and one longer (2.13 Å) Ti–O bond lengths. In the second Ti site, Ti is bonded in an L-shaped geometry to two equivalent O atoms. Both Ti–O bond lengths are 2.12 Å. O is bonded to six Ti atoms to form edge-sharing OTi6 octahedra.

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Materials Data on Ti6O11 by Materials Project

Ti6O11 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Ti+3.67+ sites. In the first Ti+3.67+ site, Ti+3.67+ 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 20–29°. There are a spread of Ti–O bond distances ranging from 1.93–2.22 Å. In the second Ti+3.67+ site, Ti+3.67+ 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 17–24°. There are a spread of Ti–O bond distances ranging from 1.92–2.04 Å. In the third Ti+3.67+ site, Ti+3.67+ 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 17–57°. There are a spread of Ti–O bond distances ranging from 1.92–2.22 Å. In the fourth Ti+3.67+ site, Ti+3.67+ 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 20–41°. There are a spread of Ti–O bond distances ranging from 1.91–2.20 Å. In the fifth Ti+3.67+ site, Ti+3.67+ 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 17–29°. There are a spread of Ti–O bond distances ranging from 1.94–2.23 Å. In the sixth Ti+3.67+ site, Ti+3.67+ 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 17–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.28 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.67+ atoms to form distorted corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to four Ti+3.67+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.67+ atoms to form distorted corner-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.67+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.67+ atoms. In the tenth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.67+ atoms.

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Materials Data on Ti8O15 by Materials Project

Ti8O15 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are eight inequivalent Ti+3.75+ sites. In the first Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of distorted edge, face, and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.86–2.19 Å. In the second Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of distorted edge, face, and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–54°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the third Ti+3.75+ site, Ti+3.75+ 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 45–55°. There are a spread of Ti–O bond distances ranging from 1.92–2.11 Å. In the fourth Ti+3.75+ site, Ti+3.75+ 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 45–53°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the fifth Ti+3.75+ site, Ti+3.75+ 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 44–61°. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the sixth Ti+3.75+ site, Ti+3.75+ 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 48–52°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the seventh Ti+3.75+ site, Ti+3.75+ 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 41–61°. There are a spread of Ti–O bond distances ranging from 1.90–2.13 Å. In the eighth Ti+3.75+ site, Ti+3.75+ 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 41–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. There are fifteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.75+ atoms to form distorted edge-sharing OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.75+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.75+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.75+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms.

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Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the monoclinic P2_1/m space group. The structure is two-dimensional and consists of one TiO2 sheet oriented in the (0, 0, 1) direction. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of Ti–O bond distances ranging from 1.63–1.87 Å. In the second Ti4+ site, 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 1.81–2.00 Å. There are four 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 single-bond geometry to one Ti4+ atom. 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.

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Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the orthorhombic Cmm2 space group. The structure is two-dimensional and consists of one TiO2 sheet oriented in the (0, 0, 1) direction. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a distorted single-bond geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.63–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.81 Å) and two longer (1.86 Å) Ti–O bond length. There are four 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 bent 120 degrees geometry to two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a single-bond geometry to one Ti4+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Ti4+ atoms.

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Materials Data on TiO2 by Materials Project

TiO2 crystallizes in the orthorhombic Cmm2 space group. The structure is two-dimensional and consists of one TiO2 sheet oriented in the (0, 0, 1) direction. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded in a distorted single-bond geometry to five O2- atoms. There are a spread of Ti–O bond distances ranging from 1.63–2.09 Å. In the second Ti4+ site, Ti4+ is bonded to four O2- atoms to form corner-sharing TiO4 tetrahedra. There is two shorter (1.81 Å) and two longer (1.87 Å) Ti–O bond length. There are four 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 bent 120 degrees geometry to two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded in a single-bond geometry to one Ti4+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two equivalent Ti4+ atoms.

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Materials Data on Ti2O7 by Materials Project

Ti2O7 is Low Tridymite-like structured and crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of two trioxidane molecules and one TiO2 sheet oriented in the (0, 0, 1) direction. In the TiO2 sheet, there are four inequivalent Ti sites. In the first Ti site, Ti is bonded to four O atoms to form corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.82–1.84 Å. In the second Ti site, Ti is bonded to four O 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 third Ti site, Ti is bonded to four O 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 Ti site, Ti is bonded to four O atoms to form corner-sharing TiO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.82–1.84 Å. There are eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the second O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the third O site, O is bonded in a linear geometry to two Ti atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the fifth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the sixth O site, O is bonded in a linear geometry to two Ti atoms. In the seventh O site, O is bonded in a bent 150 degrees geometry to two Ti atoms. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti13O22 by Materials Project

Ti13O22 crystallizes in the orthorhombic Cmce space group. The structure is three-dimensional. there are five inequivalent Ti+3.38+ sites. In the first Ti+3.38+ site, Ti+3.38+ 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 42–62°. There are a spread of Ti–O bond distances ranging from 1.97–2.11 Å. In the second Ti+3.38+ site, Ti+3.38+ 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 13–18°. There are a spread of Ti–O bond distances ranging from 1.98–2.14 Å. In the third Ti+3.38+ site, Ti+3.38+ is bonded to six O2- atoms to form a mixture of face, edge, and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.12 Å. In the fourth Ti+3.38+ site, Ti+3.38+ 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 9–19°. There are four shorter (2.03 Å) and two longer (2.08 Å) Ti–O bond lengths. In the fifth Ti+3.38+ site, Ti+3.38+ 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 13–50°. There are a spread of Ti–O bond distances ranging from 1.91–2.16 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.38+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.38+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.38+ atoms. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.38+ atoms. In the fifth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.38+ atoms. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.38+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.38+ atoms to form a mixture of edge and corner-sharing OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on TiO by Materials Project

TiO crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are twelve inequivalent Ti2+ sites. In the first Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two equivalent TiO5 square pyramids, an edgeedge with one TiO6 octahedra, and edges with nine TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Ti–O bond distances ranging from 2.06–2.17 Å. In the second Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent TiO5 square pyramids, edges with ten TiO6 octahedra, and edges with two equivalent TiO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.11 Å) and four longer (2.14 Å) Ti–O bond lengths. In the third Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent TiO5 square pyramids, edges with ten TiO6 octahedra, and edges with two equivalent TiO5 square pyramids. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and four longer (2.14 Å) Ti–O bond lengths. In the fourth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with five TiO5 square pyramids, edges with seven TiO6 octahedra, and an edgeedge with one TiO5 square pyramid. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Ti–O bond distances ranging from 2.10–2.17 Å. In the fifth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with five TiO5 square pyramids, edges with seven TiO6 octahedra, and an edgeedge with one TiO5 square pyramid. The corner-sharing octahedra tilt angles range from 16–19°. There are a spread of Ti–O bond distances ranging from 2.09–2.18 Å. In the sixth Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, edges with seven TiO6 octahedra, and edges with four TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–17°. There are a spread of Ti–O bond distances ranging from 2.08–2.23 Å. In the seventh Ti2+ site, Ti2+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with eight TiO6 octahedra, and edges with four TiO5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Ti–O bond distances ranging from 2.10–2.18 Å. In the eighth Ti2+ site, Ti2+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.02 Å) and two longer (2.10 Å) Ti–O bond lengths. In the ninth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with five TiO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with five TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.06–2.15 Å. In the tenth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with five TiO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with five TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.13–2.18 Å. In the eleventh Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with two equivalent TiO6 octahedra, corners with five TiO5 square pyramids, and edges with five TiO5 square pyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Ti–O bond distances ranging from 2.05–2.16 Å. In the twelfth Ti2+ site, Ti2+ is bonded to five O2- atoms to form TiO5 square pyramids that share corners with five TiO5 square pyramids, an edgeedge with one TiO6 octahedra, and edges with five TiO5 square pyramids. There are a spread of Ti–O bond distances ranging from 2.01–2.14 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with six OTi6 octahedra, edges with seven OTi6 octahedra, and edges with four OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 0–17°. In the second O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with four equivalent OTi6 octahedra, edges with eight OTi6 octahedra, and edges with four OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with four OTi6 octahedra, corners with two equivalent OTi5 square pyramids, an edgeedge with one OTi6 octahedra, and edges with nine OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 9–17°. In the fourth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with two equivalent OTi6 octahedra, corners with five OTi5 square pyramids, edges with seven OTi6 octahedra, and an edgeedge with one OTi5 square pyramid. The corner-sharing octahedral tilt angles are 16°. In the fifth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with two equivalent OTi6 octahedra, corners with five OTi5 square pyramids, edges with seven OTi6 octahedra, and an edgeedge with one OTi5 square pyramid. The corner-sharing octahedra tilt angles range from 15–16°. In the sixth O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with two equivalent OTi6 octahedra, corners with four equivalent OTi5 square pyramids, edges with ten OTi6 octahedra, and edges with two equivalent OTi5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to six Ti2+ atoms to form OTi6 octahedra that share corners with two equivalent OTi6 octahedra, corners with four equivalent OTi5 square pyramids, edges with ten OTi6 octahedra, and edges with two equivalent OTi5 square pyramids. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with two equivalent OTi6 octahedra, corners with five OTi5 square pyramids, and edges with five OTi5 square pyramids. The corner-sharing octahedra tilt angles range from 9–13°. In the ninth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with five OTi5 square pyramids, an edgeedge with one OTi6 octahedra, and edges with five OTi5 square pyramids. In the tenth O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with five OTi5 square pyramids, edges with two equivalent OTi6 octahedra, and edges with five OTi5 square pyramids. In the eleventh O2- site, O2- is bonded to five Ti2+ atoms to form OTi5 square pyramids that share corners with five OTi5 square pyramids, edges with two equivalent OTi6 octahedra, and edges with five OTi5 square pyramids. In the twelfth O2- site, O2- is bonded in a square co-planar geometry to four Ti2+ atoms.

36 MATERIALS SCIENCE↗