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Materials Data on Ba6Ti17O40 by Materials Project

Ba6Ti17O40 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. there are three inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.27 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 2.74–3.13 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with eight TiO6 octahedra, edges with two TiO6 octahedra, a faceface with one BaO12 cuboctahedra, and faces with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Ba–O bond distances ranging from 2.77–3.14 Å. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with four TiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–52°. There are a spread of Ti–O bond distances ranging from 1.84–2.22 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with three TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.14 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, an edgeedge with one BaO12 cuboctahedra, and edges with two TiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–52°. There are a spread of Ti–O bond distances ranging from 1.87–2.23 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two TiO6 octahedra, edges with three TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 45–49°. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the fifth Ti4+ site, Ti4+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.80–2.58 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 20°. There are a spread of Ti–O bond distances ranging from 1.86–2.22 Å. In the seventh 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 12°. There are a spread of Ti–O bond distances ranging from 1.92–2.06 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one BaO12 cuboctahedra, corners with four TiO6 octahedra, edges with two TiO6 octahedra, and a faceface with one BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 8–47°. There are a spread of Ti–O bond distances ranging from 1.91–2.07 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent TiO6 octahedra, an edgeedge with one TiO6 octahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 8°. There is four shorter (1.97 Å) and two longer (1.98 Å) Ti–O bond length. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent BaO12 cuboctahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.94–2.01 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and 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 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+ and four Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted linear geometry to three Ba2+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ba2+ and three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms.

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Materials Data on Ti5Ge3 by Materials Project

Ti5Ge3 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 5-coordinate geometry to five equivalent Ge atoms. There are a spread of Ti–Ge bond distances ranging from 2.60–2.82 Å. In the second Ti site, Ti is bonded in a 6-coordinate geometry to two equivalent Ti and six equivalent Ge atoms. Both Ti–Ti bond lengths are 2.61 Å. All Ti–Ge bond lengths are 2.69 Å. Ge is bonded in a 9-coordinate geometry to nine Ti atoms.

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Materials Data on Ti4AlN3 by Materials Project

Ti4AlN3 is MAX Phase structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded to six N atoms to form a mixture of edge and corner-sharing TiN6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.11 Å) and three longer (2.14 Å) Ti–N bond lengths. In the second Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Al and three equivalent N atoms. All Ti–Al bond lengths are 2.83 Å. All Ti–N bond lengths are 2.07 Å. Al is bonded to six equivalent Ti and six equivalent Al atoms to form AlTi6Al6 cuboctahedra that share corners with six equivalent AlTi6Al6 cuboctahedra, corners with six equivalent NTi6 octahedra, edges with six equivalent AlTi6Al6 cuboctahedra, edges with six equivalent NTi6 octahedra, and faces with six equivalent AlTi6Al6 cuboctahedra. The corner-sharing octahedral tilt angles are 19°. All Al–Al bond lengths are 2.99 Å. There are two inequivalent N sites. In the first N site, N is bonded to six Ti atoms to form NTi6 octahedra that share corners with three equivalent AlTi6Al6 cuboctahedra, corners with three equivalent NTi6 octahedra, edges with three equivalent AlTi6Al6 cuboctahedra, and edges with nine NTi6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the second N site, N is bonded to six equivalent Ti atoms to form a mixture of edge and corner-sharing NTi6 octahedra. The corner-sharing octahedral tilt angles are 1°.

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Materials Data on K2Ti2(PO4)3 by Materials Project

K2Ti2(PO4)3 crystallizes in the cubic P2_13 space group. The structure is three-dimensional. there are two inequivalent K1+ sites. In the first K1+ site, K1+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of K–O bond distances ranging from 2.92–3.33 Å. In the second K1+ site, K1+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of K–O bond distances ranging from 2.87–3.24 Å. There are two inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There is three shorter (1.98 Å) and three longer (2.01 Å) Ti–O bond length. In the second Ti+3.50+ site, Ti+3.50+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There are three shorter (2.00 Å) and three longer (2.01 Å) Ti–O bond lengths. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–46°. There is one shorter (1.54 Å) and three longer (1.55 Å) P–O bond length. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one K1+, one Ti+3.50+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted linear geometry to two K1+, one Ti+3.50+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one K1+, one Ti+3.50+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to three K1+, one Ti+3.50+, and one P5+ atom.

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Materials Data on Yb3Ti3O14 by Materials Project

Yb3Ti3O14 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Yb sites. In the first Yb site, Yb is bonded in a distorted body-centered cubic geometry to eight O atoms. There are a spread of Yb–O bond distances ranging from 2.28–2.36 Å. In the second Yb site, Yb is bonded to eight O atoms to form YbO8 hexagonal bipyramids that share edges with six TiO6 octahedra. There are a spread of Yb–O bond distances ranging from 2.25–2.65 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four TiO6 octahedra and edges with two equivalent YbO8 hexagonal bipyramids. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four equivalent TiO6 octahedra and edges with two equivalent YbO8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 43°. There is four shorter (1.96 Å) and two longer (1.99 Å) Ti–O bond length. There are five inequivalent O sites. In the first O site, O is bonded to two Yb and two Ti atoms to form a mixture of distorted edge and corner-sharing OYb2Ti2 trigonal pyramids. In the second O site, O is bonded in a distorted L-shaped geometry to one Yb and one Ti atom. In the third O site, O is bonded in a trigonal non-coplanar geometry to two equivalent Yb and one Ti atom. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Yb and two equivalent Ti atoms. In the fifth O site, O is bonded in a trigonal non-coplanar geometry to three Yb atoms.

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Materials Data on LiTi4Mn(PO4)6 by Materials Project

LiTi4Mn(PO4)6 crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Li1+ is bonded in a 6-coordinate geometry to six equivalent O2- atoms. All Li–O bond lengths are 2.30 Å. There are two inequivalent Ti+3.75+ sites. In the first Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There is three shorter (1.91 Å) and three longer (2.08 Å) Ti–O bond length. In the second Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six equivalent PO4 tetrahedra. There is three shorter (1.92 Å) and three longer (2.01 Å) Ti–O bond length. Mn2+ is bonded in a 6-coordinate geometry to six equivalent O2- atoms. All Mn–O bond lengths are 2.26 Å. P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 23–46°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.75+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Ti+3.75+, one Mn2+, and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ti+3.75+, and one P5+ atom.

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Materials Data on LiTi3O6 by Materials Project

LiTi3O6 is Ilmenite-like structured and crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent TiO6 octahedra and edges with eight TiO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.94 Å) and two longer (2.61 Å) Li–O bond lengths. There are two inequivalent Ti+3.67+ sites. In the first Ti+3.67+ site, Ti+3.67+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, edges with three equivalent LiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 17–19°. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. In the second Ti+3.67+ site, Ti+3.67+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four equivalent TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with four equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 0–19°. There are a spread of Ti–O bond distances ranging from 2.00–2.02 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Ti+3.67+ atoms to form a mixture of edge and corner-sharing OLiTi3 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.67+ atoms to form a mixture of edge and corner-sharing OLiTi3 trigonal pyramids. In the third O2- site, O2- is bonded in a distorted square co-planar geometry to one Li1+ and three Ti+3.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted square co-planar geometry to one Li1+ and three Ti+3.67+ atoms.

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Materials Data on Ba2Ti6N2O11 by Materials Project

Ba2Ti6N2O11 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to one N3- and ten O2- atoms. The Ba–N bond length is 3.27 Å. There are a spread of Ba–O bond distances ranging from 2.71–3.30 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.26 Å. There are six inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra and edges with three TiN2O4 octahedra. The corner-sharing octahedra tilt angles range from 1–21°. There are a spread of Ti–O bond distances ranging from 1.81–2.19 Å. In the second Ti4+ site, Ti4+ is bonded to two equivalent N3- and four O2- atoms to form distorted TiN2O4 octahedra that share corners with two equivalent TiN2O4 octahedra and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 30°. There are one shorter (2.04 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.85–2.28 Å. In the third Ti4+ site, Ti4+ is bonded to two equivalent N3- and four O2- atoms to form distorted TiN2O4 octahedra that share corners with three TiO6 octahedra and edges with five TiN2O4 octahedra. The corner-sharing octahedra tilt angles range from 16–20°. There are one shorter (2.00 Å) and one longer (2.01 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourth Ti4+ site, Ti4+ is bonded to one N3- and five O2- atoms to form TiNO5 octahedra that share corners with three TiNO5 octahedra and edges with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 14–24°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the fifth Ti4+ site, Ti4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing TiN2O4 octahedra. The corner-sharing octahedral tilt angles are 25°. There are one shorter (2.10 Å) and one longer (2.26 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.86–2.03 Å. In the sixth Ti4+ site, Ti4+ is bonded to one N3- and five O2- atoms to form TiNO5 octahedra that share corners with four TiO6 octahedra and edges with three TiN2O4 octahedra. The corner-sharing octahedra tilt angles range from 1–24°. The Ti–N bond length is 1.93 Å. There are a spread of Ti–O bond distances ranging from 1.92–2.13 Å. There are two inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti4+ atoms to form distorted NTi4 trigonal pyramids that share corners with two equivalent NTi4 trigonal pyramids and edges with two equivalent OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a 4-coordinate geometry to one Ba2+ and four Ti4+ atoms. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted water-like geometry to two equivalent Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a distorted linear geometry to two equivalent Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the sixth O2- site, O2- is bonded to four Ti4+ atoms to form distorted OTi4 trigonal pyramids that share corners with two equivalent OTi4 trigonal pyramids and edges with two equivalent NTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two equivalent Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ba2+ and two Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Ti4+ atoms.

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Materials Data on BaTi6O12 by Materials Project

BaTi6O12 crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. Ba2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are four shorter (2.78 Å) and four longer (3.22 Å) Ba–O bond lengths. There are two 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 edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 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 octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.67+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ba2+ and three Ti+3.67+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti+3.67+ atoms.

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Materials Data on Li2Ti3O6 by Materials Project

Li2Ti3O6 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with eight TiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. 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 TiO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with four equivalent TiO6 octahedra, and edges with six equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Ti–O bond distances ranging from 2.02–2.05 Å. In the second Ti+3.33+ site, Ti+3.33+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with five equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Ti–O bond distances ranging from 2.00–2.08 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the second O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the third O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.33+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids.

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Materials Data on Li4Ti11O24 by Materials Project

Li4Ti11O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.98–2.02 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with eleven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Li–O bond distances ranging from 1.99–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–63°. There are a spread of Li–O bond distances ranging from 1.96–2.04 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with ten TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–64°. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.13 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.19 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.18 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six 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 six O2- atoms to form distorted TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.85–2.21 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three LiO4 tetrahedra and edges with five TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four LiO4 tetrahedra and edges with six TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. 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 trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form distorted corner-sharing OLiTi3 tetrahedra. 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 to one Li1+ and three Ti4+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ti11O26 by Materials Project

Ba4Ti11O26 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.63–3.27 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.64–3.31 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.29 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of Ba–O bond distances ranging from 2.69–3.23 Å. There are eleven inequivalent Ti4+ sites. In the first 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 16–18°. There are a spread of Ti–O bond distances ranging from 1.74–2.21 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 0–18°. There are a spread of Ti–O bond distances ranging from 1.93–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of Ti–O bond distances ranging from 1.79–2.28 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 30°. There are a spread of Ti–O bond distances ranging from 1.80–2.29 Å. In the fifth 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 16–25°. There are a spread of Ti–O bond distances ranging from 1.83–2.22 Å. In the sixth 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 17–25°. There are a spread of Ti–O bond distances ranging from 1.85–2.20 Å. In the seventh 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 20–22°. There are a spread of Ti–O bond distances ranging from 1.71–2.23 Å. In the eighth 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 14–22°. There are a spread of Ti–O bond distances ranging from 1.84–2.15 Å. In the ninth 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 1.73–2.31 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted edge-sharing TiO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.81–2.21 Å. In the eleventh 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 0–14°. There are a spread of Ti–O bond distances ranging from 1.89–2.10 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a single-bond geometry to four Ba2+ and one Ti4+ atom. In the second O2- site, O2- is bonded in a linear geometry to four Ba2+ and two Ti4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Ba2+ and two Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the seventh O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the eighth O2- site, O2- is bonded in a distorted linear geometry to two Ba2+ and two Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ba2+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twelfth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Ba2+ and three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ba2+ and four Ti4+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to four Ti4+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a water-like geometry to two Ba2+ and two Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a water-like geometry to two Ba2+ and two Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+ and one Ti4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted water-like geometry to two Ba2+ and two Ti4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+ and two Ti4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+ and one Ti4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 crystallizes in the orthorhombic Pmc2_1 space group. The structure is three-dimensional. Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.12 Å. There are two inequivalent Ti+3.50+ sites. In the first Ti+3.50+ site, Ti+3.50+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.11 Å. In the second Ti+3.50+ site, Ti+3.50+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 2.00–2.05 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.50+ atoms. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form distorted OLiTi3 tetrahedra that share corners with two equivalent OLi2Ti3 square pyramids, corners with two equivalent OLiTi3 tetrahedra, and edges with two equivalent OLi2Ti3 square pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the fourth O2- site, O2- is bonded to two equivalent Li1+ and three Ti+3.50+ atoms to form OLi2Ti3 square pyramids that share corners with two equivalent OLiTi3 tetrahedra, edges with two equivalent OLi2Ti3 square pyramids, and edges with two equivalent OLiTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ti3PdO by Materials Project

Ti3PdO crystallizes in the tetragonal I4/mcm space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted bent 150 degrees geometry to four equivalent Pd and two equivalent O atoms. There are two shorter (2.71 Å) and two longer (3.18 Å) Ti–Pd bond lengths. Both Ti–O bond lengths are 2.05 Å. In the second Ti site, Ti is bonded in a linear geometry to four equivalent Pd and two equivalent O atoms. All Ti–Pd bond lengths are 2.86 Å. Both Ti–O bond lengths are 2.12 Å. Pd is bonded to twelve Ti atoms to form distorted PdTi12 cuboctahedra that share corners with twelve equivalent PdTi12 cuboctahedra, faces with six equivalent PdTi12 cuboctahedra, and faces with eight equivalent OTi6 octahedra. O is bonded to six Ti atoms to form OTi6 octahedra that share corners with six equivalent OTi6 octahedra and faces with eight equivalent PdTi12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–19°.

36 MATERIALS SCIENCE↗

Materials Data on KTi6O12 by Materials Project

KTi6O12 is zeta iron carbide-derived structured and crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. K1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are four shorter (2.82 Å) and four longer (3.33 Å) K–O bond lengths. There are two inequivalent Ti+3.83+ sites. In the first Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. In the second Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.96–2.03 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent K1+ and three Ti+3.83+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one K1+ and three Ti+3.83+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.83+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti11O24 by Materials Project

Li4Ti11O24 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four TiO6 octahedra and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Li–O bond distances ranging from 2.01–2.25 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 1.86–2.06 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.05 Å. In the fourth 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 1.86–2.07 Å. There are eleven 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 46–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.01 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 47–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the third 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 45–53°. There are a spread of Ti–O bond distances ranging from 1.93–2.05 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–53°. There are a spread of Ti–O bond distances ranging from 1.92–2.10 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.91–2.08 Å. In the eighth 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 46–48°. There are a spread of Ti–O bond distances ranging from 1.97–2.02 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of Ti–O bond distances ranging from 1.86–2.08 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with four TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Ti–O bond distances ranging from 1.88–2.07 Å. In the eleventh 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 44–49°. There are a spread of Ti–O bond distances ranging from 1.90–2.07 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+ and two Ti4+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar 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 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 to one Li1+ and three Ti4+ atoms to form a mixture of distorted corner and edge-sharing OLiTi3 tetrahedra. In the seventh O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Ti4+ atoms. In the eighth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 tetrahedra that share a cornercorner with one OLi3Ti2 square pyramid, a cornercorner with one OLi2Ti2 tetrahedra, and an edgeedge with one OLi3Ti2 square pyramid. In the ninth O2- site, O2- is bonded to two Li1+ and two Ti4+ atoms to form distorted OLi2Ti2 tetrahedra that share a cornercorner with one OLi3Ti2 square pyramid, a cornercorner with one OLi2Ti2 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, and an edgeedge with one OLi3Ti2 square pyramid. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+ and two Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded to three Li1+ and two Ti4+ atoms to form OLi3Ti2 square pyramids that share corners with two OLi2Ti2 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, and edges with two OLi2Ti2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Ti4+ atoms to form OLiTi3 trigonal pyramids that share a cornercorner with one OLi3Ti2 square pyramid, corners with two OLiTi3 tetrahedra, and an edgeedge with one OLiTi3 tetrahedra. 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 Li15Ti11Nb5O42 by Materials Project

Li15Ti11Nb5O42 crystallizes in the trigonal P3 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.02 Å) and three longer (2.33 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.05 Å) and three longer (2.40 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (1.97 Å) and three longer (2.56 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.05 Å) and three longer (2.40 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.05 Å) and three longer (2.40 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent TiO6 octahedra, edges with three equivalent TiO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are three shorter (2.07 Å) and three longer (2.12 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three equivalent TiO6 octahedra, edges with three equivalent TiO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are three shorter (2.07 Å) and three longer (2.12 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.05 Å) and three longer (2.40 Å) Li–O bond lengths. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.03 Å) and three longer (2.33 Å) Li–O bond lengths. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.02 Å) and three longer (2.35 Å) Li–O bond lengths. In the eleventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.05 Å) and three longer (2.37 Å) Li–O bond lengths. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.01 Å) and three longer (2.39 Å) Li–O bond lengths. In the thirteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.06 Å) and three longer (2.37 Å) Li–O bond lengths. In the fourteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.03 Å) and three longer (2.34 Å) Li–O bond lengths. In the fifteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.02 Å) and three longer (2.35 Å) Li–O bond lengths. There are eleven 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 equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 41°. There are three shorter (1.86 Å) and three longer (2.16 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.88 Å) and three longer (2.12 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.88 Å) and three longer (2.12 Å) Ti–O bond lengths. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 41°. There are three shorter (1.86 Å) and three longer (2.15 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–38°. There is three shorter (1.95 Å) and three longer (1.99 Å) Ti–O bond length. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent TiO6 octahedra, corners with three equivalent NbO6 octahedra, and edges with three equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There is three shorter (1.98 Å) and three longer (2.01 Å) Ti–O bond length. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent LiO6 octahedra, corners with three equivalent TiO6 octahedra, corners with three equivalent NbO6 octahedra, and edges with three equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There is three shorter (1.97 Å) and three longer (2.01 Å) Ti–O bond length. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.88 Å) and three longer (2.12 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 41°. There are three shorter (1.87 Å) and three longer (2.16 Å) Ti–O bond lengths. In the tenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.88 Å) and three longer (2.12 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 41°. There are three shorter (1.86 Å) and three longer (2.15 Å) Ti–O bond lengths. There are five inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–41°. There are three shorter (1.98 Å) and three longer (2.05 Å) Nb–O bond lengths. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–41°. There are three shorter (1.99 Å) and three longer (2.04 Å) Nb–O bond lengths. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TiO6 octahedra and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–41°. There are three shorter (2.00 Å) and three longer (2.03 Å) Nb–O bond lengths. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TiO6 octahedra and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 35–41°. There are three shorter (2.00 Å) and three longer (2.03 Å) Nb–O bond lengths. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are three shorter (1.98 Å) and three longer (2.04 Å) Nb–O bond lengths. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti4+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the third O2- site, O2- is bonded to three Li1+, one Ti4+, and one Nb5+ atom to form a mixture of distorted edge and corner-sharing OLi3TiNb trigonal bipyramids. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 6-coordinate geometry to four Li1+ and two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti4+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+ and two Nb5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li10Ti11Nb6O42 by Materials Project

Li10Ti11Nb6O42 crystallizes in the trigonal P3 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (1.99 Å) and three longer (2.43 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.09 Å) and three longer (2.35 Å) Li–O bond lengths. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.08 Å) and three longer (2.38 Å) Li–O bond lengths. In the fourth Li1+ site, Li1+ is bonded in a distorted trigonal planar geometry to six O2- atoms. There are three shorter (1.99 Å) and three longer (2.60 Å) Li–O bond lengths. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.06 Å) and three longer (2.41 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.03 Å) and three longer (2.37 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (2.02 Å) and three longer (2.45 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are three shorter (2.00 Å) and three longer (2.43 Å) Li–O bond lengths. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.04 Å) and three longer (2.33 Å) Li–O bond lengths. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (2.05 Å) and three longer (2.32 Å) Li–O bond lengths. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and face-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are three shorter (1.90 Å) and three longer (2.10 Å) Ti–O bond lengths. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent NbO6 octahedra and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 41°. There are three shorter (1.85 Å) and three longer (2.20 Å) Ti–O bond lengths. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted corner and face-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 32°. There is three shorter (1.88 Å) and three longer (2.10 Å) Ti–O bond length. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent NbO6 octahedra and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 42°. There are three shorter (1.85 Å) and three longer (2.19 Å) Ti–O bond lengths. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six NbO6 octahedra and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 37°. There is three shorter (1.84 Å) and three longer (2.15 Å) Ti–O bond length. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three equivalent TiO6 octahedra, edges with three equivalent NbO6 octahedra, and a faceface with one TiO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There is three shorter (1.90 Å) and three longer (2.07 Å) Ti–O bond length. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NbO6 octahedra. The corner-sharing octahedral tilt angles are 37°. There is three shorter (1.96 Å) and three longer (2.00 Å) Ti–O bond length. In the eighth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.88 Å) and three longer (2.14 Å) Ti–O bond lengths. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent NbO6 octahedra and corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 32–53°. There is three shorter (1.95 Å) and three longer (2.03 Å) Ti–O bond length. In the tenth Ti4+ site, Ti4+ is bonded in a 6-coordinate geometry to six O2- atoms. There are three shorter (1.88 Å) and three longer (2.15 Å) Ti–O bond lengths. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedral tilt angles are 40°. There are three shorter (1.89 Å) and three longer (2.12 Å) Ti–O bond lengths. There are six inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–42°. There are three shorter (1.97 Å) and three longer (2.08 Å) Nb–O bond lengths. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–41°. There are three shorter (1.97 Å) and three longer (2.08 Å) Nb–O bond lengths. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–40°. There are three shorter (2.01 Å) and three longer (2.02 Å) Nb–O bond lengths. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six TiO6 octahedra and edges with three equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 37–47°. There are three shorter (1.90 Å) and three longer (2.19 Å) Nb–O bond lengths. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–39°. There are three shorter (2.00 Å) and three longer (2.03 Å) Nb–O bond lengths. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra and corners with three equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–40°. There are three shorter (1.95 Å) and three longer (2.08 Å) Nb–O bond lengths. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Ti4+, and one Nb5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti4+, and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to two Ti4+ and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Ti4+ and one Nb5+ atom. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Ti4+, and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a distorted see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Ti4+, and one Nb5+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+ and two Nb5+ atoms to form a mixture of distorted corner and edge-sharing OLi2Nb2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti4+ atoms.

36 MATERIALS SCIENCE↗