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Materials Data on Ba2Ti11O24 by Materials Project

Ba2Ti11O24 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 8-coordinate geometry to eight O2- atoms. There are a spread of Ba–O bond distances ranging from 2.77–3.31 Å. In the second Ba2+ site, Ba2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Ba–O bond distances ranging from 2.66–2.85 Å. There are eleven inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.86–2.11 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–56°. There are a spread of Ti–O bond distances ranging from 1.85–2.10 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Ti–O bond distances ranging from 1.85–2.12 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 43–51°. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Ti–O bond distances ranging from 1.85–2.11 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 38–51°. There are a spread of Ti–O bond distances ranging from 1.83–2.11 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–56°. There are a spread of Ti–O bond distances ranging from 1.82–2.12 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.86–2.14 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted water-like geometry to one Ba2+ and two 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 one Ba2+ and two Ti4+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fifth O2- site, O2- is bonded in a water-like geometry to two Ti4+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. 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 bent 150 degrees geometry to two Ti4+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two Ti4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti4+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti4+ atoms. In the twenty-second O2- site, O2- is bonded in a water-like geometry to one Ba2+ and two Ti4+ atoms. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ba2+ and three Ti4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiTi2O4 by Materials Project

LiTi2O4 is Spinel-like structured and crystallizes in the hexagonal P6_3mc space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve TiO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are three shorter (1.99 Å) and one longer (2.02 Å) Li–O bond lengths. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with six TiO6 octahedra and edges with three equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 62–63°. There is one shorter (1.78 Å) and three longer (1.98 Å) Li–O bond length. 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 two equivalent TiO6 octahedra, corners with four LiO4 tetrahedra, edges with five TiO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–O bond distances ranging from 1.98–2.07 Å. 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 TiO6 octahedra, corners with six LiO4 tetrahedra, and edges with three equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are three shorter (2.02 Å) and three longer (2.08 Å) Ti–O bond lengths. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.50+ atoms. In the second O2- site, O2- is bonded to one Li1+ and three Ti+3.50+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three equivalent Ti+3.50+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three equivalent Ti+3.50+ atoms to form distorted corner-sharing OLiTi3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li24Ti11CrO36 by Materials Project

Li24Ti11CrO36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are fifteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.08–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CrO6 octahedra, edges with four TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.13 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.08–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.12 Å) and two longer (2.14 Å) Li–O bond lengths. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are two shorter (2.05 Å) and four longer (2.20 Å) Li–O bond lengths. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.12 Å) and two longer (2.14 Å) Li–O bond lengths. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.12 Å) and two longer (2.14 Å) Li–O bond lengths. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.09–2.22 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five TiO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.11–2.15 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three TiO6 octahedra, edges with four TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.04–2.21 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are four shorter (2.12 Å) and two longer (2.14 Å) Li–O bond lengths. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four TiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three TiO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.09–2.23 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 six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the sixth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the seventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the eighth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the ninth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the tenth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. In the eleventh Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one TiO6 octahedra, edges with two equivalent CrO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Ti–O bond distances ranging from 1.97–1.99 Å. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Cr–O bond distances ranging from 1.94–1.98 Å. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the third O2- site, O2- is bonded to four Li1+, one Ti4+, and one Cr4+ atom to form a mixture of edge and corner-sharing OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4Ti2 octahedra and edges with twelve OLi4TiCr octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form OLi4Ti2 octahedra that share corners with six OLi4TiCr octahedra and edges with twelve OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the seventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the ninth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Ti4+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the thirteenth O2- site, O2- is bonded to fo

36 MATERIALS SCIENCE↗

Materials Data on CsTi6O12 by Materials Project

CsTi6O12 is zeta iron carbide-derived structured and crystallizes in the tetragonal I4/m space group. The structure is three-dimensional. Cs1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are four shorter (2.95 Å) and four longer (3.29 Å) Cs–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 corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.97–2.04 Å. In the second Ti+3.83+ site, Ti+3.83+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.83+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Cs1+ and three Ti+3.83+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Cs1+ and 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 MgTi3 by Materials Project

MgTi3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Mg is bonded to twelve Ti atoms to form MgTi12 cuboctahedra that share corners with six equivalent MgTi12 cuboctahedra, corners with twelve equivalent TiMg4Ti8 cuboctahedra, edges with eighteen TiMg4Ti8 cuboctahedra, faces with eight equivalent MgTi12 cuboctahedra, and faces with twelve TiMg4Ti8 cuboctahedra. There are six shorter (2.94 Å) and six longer (2.96 Å) Mg–Ti bond lengths. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to four equivalent Mg and eight Ti atoms to form TiMg4Ti8 cuboctahedra that share corners with four equivalent MgTi12 cuboctahedra, corners with fourteen equivalent TiMg4Ti8 cuboctahedra, edges with six equivalent MgTi12 cuboctahedra, edges with twelve TiMg4Ti8 cuboctahedra, faces with four equivalent MgTi12 cuboctahedra, and faces with sixteen TiMg4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.92–2.98 Å. In the second Ti site, Ti is bonded to four equivalent Mg and eight equivalent Ti atoms to form TiMg4Ti8 cuboctahedra that share corners with four equivalent MgTi12 cuboctahedra, corners with fourteen TiMg4Ti8 cuboctahedra, edges with six equivalent MgTi12 cuboctahedra, edges with twelve equivalent TiMg4Ti8 cuboctahedra, faces with four equivalent MgTi12 cuboctahedra, and faces with sixteen TiMg4Ti8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ti3Si by Materials Project

Ti3Si crystallizes in the tetragonal P4_2/n space group. The structure is three-dimensional. there are three inequivalent Ti sites. In the first Ti site, Ti is bonded in a 3-coordinate geometry to three equivalent Si atoms. There are a spread of Ti–Si bond distances ranging from 2.59–2.67 Å. In the second Ti site, Ti is bonded in a 4-coordinate geometry to four equivalent Si atoms. There are a spread of Ti–Si bond distances ranging from 2.56–2.62 Å. In the third Ti site, Ti is bonded in a 2-coordinate geometry to two equivalent Si atoms. There are one shorter (2.59 Å) and one longer (2.65 Å) Ti–Si bond lengths. Si is bonded in a 9-coordinate geometry to nine Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaTi2Fe2(PO4)6 by Materials Project

CaTi2Fe2(PO4)6 crystallizes in the trigonal R3 space group. The structure is three-dimensional. Ca is bonded in a distorted hexagonal planar geometry to six O atoms. There are three shorter (2.40 Å) and three longer (2.42 Å) Ca–O bond lengths. 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 six PO4 tetrahedra. There is three shorter (1.88 Å) and three longer (2.09 Å) Ti–O bond length. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.92 Å) and three longer (2.00 Å) Ti–O bond length. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There is three shorter (1.98 Å) and three longer (1.99 Å) Fe–O bond length. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are three shorter (1.94 Å) and three longer (2.06 Å) Fe–O bond lengths. There are two inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 20–41°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two TiO6 octahedra and corners with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 24–39°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. There are eight inequivalent O sites. In the first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the second O site, O is bonded in a 3-coordinate geometry to one Ca, one Ti, and one P atom. In the third O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fourth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fifth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the sixth O site, O is bonded in a 3-coordinate geometry to one Ca, one Fe, and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom. In the eighth O site, O is bonded in a bent 150 degrees geometry to one Ti and one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti2ZnN by Materials Project

Ti2ZnN crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a rectangular see-saw-like geometry to one Zn and four equivalent N atoms. The Ti–Zn bond length is 2.80 Å. There are two shorter (2.08 Å) and two longer (2.11 Å) Ti–N bond lengths. In the second Ti site, Ti is bonded in an L-shaped geometry to six equivalent Zn and two equivalent N atoms. There are four shorter (2.83 Å) and two longer (2.94 Å) Ti–Zn bond lengths. Both Ti–N bond lengths are 2.07 Å. Zn is bonded in a 11-coordinate geometry to seven Ti and four equivalent Zn atoms. There are two shorter (2.50 Å) and two longer (2.99 Å) Zn–Zn bond lengths. N is bonded to six Ti atoms to form a mixture of corner and edge-sharing NTi6 octahedra. The corner-sharing octahedral tilt angles are 10°.

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Materials Data on Ti3ZnN by Materials Project

Ti3ZnN crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted L-shaped geometry to three equivalent Zn and two equivalent N atoms. There are two shorter (2.71 Å) and one longer (2.76 Å) Ti–Zn bond lengths. Both Ti–N bond lengths are 2.07 Å. In the second Ti site, Ti is bonded in a distorted bent 150 degrees geometry to two equivalent Zn and two equivalent N atoms. Both Ti–Zn bond lengths are 2.71 Å. Both Ti–N bond lengths are 2.13 Å. Zn is bonded in a 8-coordinate geometry to eight Ti atoms. N is bonded to six Ti atoms to form a mixture of corner and edge-sharing NTi6 octahedra. The corner-sharing octahedral tilt angles are 22°.

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Materials Data on Sc(TiGa2)2 by Materials Project

Sc(TiGa2)2 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Sc is bonded in a distorted square co-planar geometry to twelve Ga atoms. There are four shorter (2.81 Å) and eight longer (3.31 Å) Sc–Ga bond lengths. Ti is bonded in a 10-coordinate geometry to two equivalent Ti and eight Ga atoms. Both Ti–Ti bond lengths are 2.73 Å. All Ti–Ga bond lengths are 2.75 Å. There are six inequivalent Ga sites. In the first Ga site, Ga is bonded in a 11-coordinate geometry to three equivalent Sc, four equivalent Ti, and four Ga atoms. There are two shorter (2.65 Å) and two longer (2.88 Å) Ga–Ga bond lengths. In the second Ga site, Ga is bonded in a 11-coordinate geometry to three equivalent Sc, four equivalent Ti, and four Ga atoms. Both Ga–Ga bond lengths are 2.65 Å. In the third Ga site, Ga is bonded in a 11-coordinate geometry to three equivalent Sc, four equivalent Ti, and four Ga atoms. There are one shorter (2.65 Å) and two longer (2.88 Å) Ga–Ga bond lengths. In the fourth Ga site, Ga is bonded in a 11-coordinate geometry to three equivalent Sc, four equivalent Ti, and four Ga atoms. There are one shorter (2.65 Å) and two longer (2.88 Å) Ga–Ga bond lengths. In the fifth Ga site, Ga is bonded in a 11-coordinate geometry to three equivalent Sc, four equivalent Ti, and four Ga atoms. There are two shorter (2.65 Å) and two longer (2.88 Å) Ga–Ga bond lengths. In the sixth Ga site, Ga is bonded in a 11-coordinate geometry to three equivalent Sc, four equivalent Ti, and four Ga atoms.

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Materials Data on Ti3(TeSe)2 by Materials Project

Ti3(TeSe)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Ti+2.67+ sites. In the first Ti+2.67+ site, Ti+2.67+ is bonded to three equivalent Te2- and three equivalent Se2- atoms to form distorted TiTe3Se3 octahedra that share corners with six equivalent TiTe4Se2 octahedra, edges with six equivalent TiTe3Se3 octahedra, and a faceface with one TiTe4Se2 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are two shorter (2.87 Å) and one longer (3.01 Å) Ti–Te bond lengths. There are one shorter (2.53 Å) and two longer (2.57 Å) Ti–Se bond lengths. In the second Ti+2.67+ site, Ti+2.67+ is bonded to four equivalent Te2- and two equivalent Se2- atoms to form TiTe4Se2 octahedra that share corners with twelve equivalent TiTe3Se3 octahedra, edges with two equivalent TiTe4Se2 octahedra, and faces with two equivalent TiTe3Se3 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. All Ti–Te bond lengths are 2.80 Å. Both Ti–Se bond lengths are 2.58 Å. Te2- is bonded in a 5-coordinate geometry to five Ti+2.67+ atoms. Se2- is bonded in a 4-coordinate geometry to four Ti+2.67+ atoms.

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Materials Data on Ti6Ge2B by Materials Project

Ti6Ge2B crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 4-coordinate geometry to two equivalent B and two equivalent Ge atoms. Both Ti–B bond lengths are 2.33 Å. Both Ti–Ge bond lengths are 2.68 Å. In the second Ti site, Ti is bonded in a 5-coordinate geometry to one B and four equivalent Ge atoms. The Ti–B bond length is 2.69 Å. All Ti–Ge bond lengths are 2.70 Å. B is bonded in a 9-coordinate geometry to nine Ti atoms. Ge is bonded in a 9-coordinate geometry to nine Ti atoms.

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Materials Data on Ti3CuO8 by Materials Project

Ti3CuO8 is beta Vanadium nitride-derived structured and crystallizes in the tetragonal P-4m2 space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. There is four shorter (1.95 Å) and two longer (2.00 Å) Ti–O bond length. In the second Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with four equivalent TiO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent CuO6 octahedra. The corner-sharing octahedra tilt angles range from 26–27°. There are a spread of Ti–O bond distances ranging from 1.95–2.03 Å. Cu is bonded to six O atoms to form distorted CuO6 octahedra that share corners with four equivalent CuO6 octahedra and edges with four equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. There is two shorter (1.91 Å) and four longer (1.94 Å) Cu–O bond length. There are four inequivalent O sites. In the first O site, O is bonded in a distorted T-shaped geometry to three Ti atoms. In the second O site, O is bonded in a distorted T-shaped geometry to two equivalent Ti and one Cu atom. In the third O site, O is bonded in a distorted T-shaped geometry to one Ti and two equivalent Cu atoms. In the fourth O site, O is bonded in a distorted T-shaped geometry to three Ti atoms.

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Materials Data on Ti2Nb2Ni2C by Materials Project

Ti2Nb2Ni2C crystallizes in the tetragonal I-4m2 space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 6-coordinate geometry to six Ni atoms. There are a spread of Ti–Ni bond distances ranging from 2.46–2.51 Å. In the second Ti site, Ti is bonded in a distorted bent 150 degrees geometry to four Ni and two equivalent C atoms. There are two shorter (2.74 Å) and two longer (3.03 Å) Ti–Ni bond lengths. Both Ti–C bond lengths are 2.13 Å. There are three inequivalent Nb sites. In the first Nb site, Nb is bonded in a distorted bent 150 degrees geometry to four Ni and two equivalent C atoms. There are two shorter (2.78 Å) and two longer (3.05 Å) Nb–Ni bond lengths. Both Nb–C bond lengths are 2.16 Å. In the second Nb site, Nb is bonded in a distorted bent 150 degrees geometry to four Ni and two equivalent C atoms. There are two shorter (2.81 Å) and two longer (3.06 Å) Nb–Ni bond lengths. Both Nb–C bond lengths are 2.18 Å. In the third Nb site, Nb is bonded in a distorted bent 150 degrees geometry to four Ni and two equivalent C atoms. There are two shorter (2.81 Å) and two longer (2.98 Å) Nb–Ni bond lengths. Both Nb–C bond lengths are 2.16 Å. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a 12-coordinate geometry to five Ti, four Nb, and three equivalent Ni atoms. There are two shorter (2.56 Å) and one longer (2.60 Å) Ni–Ni bond lengths. In the second Ni site, Ni is bonded in a 12-coordinate geometry to five Ti, four Nb, and three equivalent Ni atoms. There are one shorter (2.68 Å) and two longer (2.72 Å) Ni–Ni bond lengths. C is bonded to two equivalent Ti and four Nb atoms to form corner-sharing CTi2Nb4 octahedra. The corner-sharing octahedra tilt angles range from 34–39°.

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Materials Data on Ti8Cu3Ni by Materials Project

Ti2Ni(Ti2Cu)3 crystallizes in the tetragonal P4/mmm space group. The structure is two-dimensional and consists of three Ti2Cu sheets oriented in the (0, 0, 1) direction and one Ti2Ni sheet oriented in the (0, 0, 1) direction. In each Ti2Cu sheet, there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to four equivalent Cu atoms. All Ti–Cu bond lengths are 2.69 Å. In the second Ti site, Ti is bonded in a 12-coordinate geometry to four equivalent Cu atoms. All Ti–Cu bond lengths are 2.72 Å. Cu is bonded in a distorted body-centered cubic geometry to eight Ti atoms. In the Ti2Ni sheet, Ti is bonded in a 12-coordinate geometry to four equivalent Ni atoms. All Ti–Ni bond lengths are 2.63 Å. Ni is bonded in a body-centered cubic geometry to eight equivalent Ti atoms.

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Materials Data on MgTi3 by Materials Project

MgTi3 is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Mg is bonded in a distorted body-centered cubic geometry to fourteen Ti atoms. There are eight shorter (2.88 Å) and six longer (3.33 Å) Mg–Ti bond lengths. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 8-coordinate geometry to six equivalent Mg and eight equivalent Ti atoms. All Ti–Ti bond lengths are 2.88 Å. In the second Ti site, Ti is bonded in a distorted body-centered cubic geometry to four equivalent Mg and four equivalent Ti atoms.

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Materials Data on HfTi3 by Materials Project

HfTi3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Hf is bonded to twelve Ti atoms to form HfTi12 cuboctahedra that share corners with six equivalent HfTi12 cuboctahedra, corners with twelve TiHf4Ti8 cuboctahedra, edges with eighteen TiHf4Ti8 cuboctahedra, faces with eight equivalent HfTi12 cuboctahedra, and faces with twelve TiHf4Ti8 cuboctahedra. There are six shorter (2.98 Å) and six longer (3.01 Å) Hf–Ti bond lengths. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to four equivalent Hf and eight Ti atoms to form distorted TiHf4Ti8 cuboctahedra that share corners with four equivalent HfTi12 cuboctahedra, corners with fourteen TiHf4Ti8 cuboctahedra, edges with six equivalent HfTi12 cuboctahedra, edges with twelve TiHf4Ti8 cuboctahedra, faces with four equivalent HfTi12 cuboctahedra, and faces with sixteen TiHf4Ti8 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.91–3.11 Å. In the second Ti site, Ti is bonded to four equivalent Hf and eight equivalent Ti atoms to form distorted TiHf4Ti8 cuboctahedra that share corners with four equivalent HfTi12 cuboctahedra, corners with fourteen TiHf4Ti8 cuboctahedra, edges with six equivalent HfTi12 cuboctahedra, edges with twelve equivalent TiHf4Ti8 cuboctahedra, faces with four equivalent HfTi12 cuboctahedra, and faces with sixteen TiHf4Ti8 cuboctahedra.

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Materials Data on Ti2NiPd by Materials Project

Ti2PdNi crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. there are two inequivalent Ti sites. In the first Ti site, Ti is bonded in a 12-coordinate geometry to four equivalent Pd and four equivalent Ni atoms. All Ti–Pd bond lengths are 2.67 Å. There are two shorter (2.70 Å) and two longer (2.83 Å) Ti–Ni bond lengths. In the second Ti site, Ti is bonded in a 8-coordinate geometry to four equivalent Pd and four equivalent Ni atoms. There are two shorter (2.66 Å) and two longer (2.86 Å) Ti–Pd bond lengths. All Ti–Ni bond lengths are 2.67 Å. Pd is bonded to eight Ti, two equivalent Pd, and two equivalent Ni atoms to form distorted PdTi8Ni2Pd2 cuboctahedra that share corners with ten equivalent PdTi8Ni2Pd2 cuboctahedra, edges with two equivalent PdTi8Ni2Pd2 cuboctahedra, edges with four equivalent NiTi8Ni2Pd2 cuboctahedra, faces with four equivalent PdTi8Ni2Pd2 cuboctahedra, and faces with eight equivalent NiTi8Ni2Pd2 cuboctahedra. Both Pd–Pd bond lengths are 2.77 Å. Both Pd–Ni bond lengths are 2.86 Å. Ni is bonded to eight Ti, two equivalent Pd, and two equivalent Ni atoms to form distorted NiTi8Ni2Pd2 cuboctahedra that share corners with ten equivalent NiTi8Ni2Pd2 cuboctahedra, edges with two equivalent NiTi8Ni2Pd2 cuboctahedra, edges with four equivalent PdTi8Ni2Pd2 cuboctahedra, faces with four equivalent NiTi8Ni2Pd2 cuboctahedra, and faces with eight equivalent PdTi8Ni2Pd2 cuboctahedra. Both Ni–Ni bond lengths are 2.77 Å.

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