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Materials Data on Ti5Cr(PO4)6 by Materials Project

Ti5Cr(PO4)6 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are five inequivalent Ti+3.20+ sites. In the first Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one TiO6 octahedra, and a faceface with one CrO6 octahedra. There are three shorter (2.14 Å) and three longer (2.18 Å) Ti–O bond lengths. In the second Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six PO4 tetrahedra and faces with two TiO6 octahedra. All Ti–O bond lengths are 2.17 Å. In the third Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.94 Å) and three longer (2.06 Å) Ti–O bond lengths. In the fourth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.95 Å) and three longer (2.05 Å) Ti–O bond lengths. In the fifth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.96 Å) and three longer (2.07 Å) Ti–O bond lengths. Cr2+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.95 Å) and three longer (2.06 Å) Cr–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–50°. There is two shorter (1.53 Å) and two longer (1.57 Å) P–O bond length. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti+3.20+, one Cr2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Mn(PO4)6 by Materials Project

Ti5Mn(PO4)6 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are five inequivalent Ti+3.20+ sites. In the first Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one TiO6 octahedra, and a faceface with one MnO6 pentagonal pyramid. All Ti–O bond lengths are 2.11 Å. In the second Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six PO4 tetrahedra and faces with two TiO6 octahedra. There are three shorter (2.15 Å) and three longer (2.19 Å) Ti–O bond lengths. In the third Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.95 Å) and three longer (2.10 Å) Ti–O bond lengths. In the fourth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There is three shorter (1.90 Å) and three longer (2.05 Å) Ti–O bond length. In the fifth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.93 Å) and three longer (2.09 Å) Ti–O bond lengths. Mn2+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (2.02 Å) and three longer (2.27 Å) Mn–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five TiO6 octahedra and a cornercorner with one MnO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 24–52°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with five TiO6 octahedra and a cornercorner with one MnO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 26–50°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti+3.20+, one Mn2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Ni(PO4)6 by Materials Project

Ti5Ni(PO4)6 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are five inequivalent Ti+3.20+ sites. In the first Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one TiO6 octahedra, and a faceface with one NiO6 octahedra. There are three shorter (2.10 Å) and three longer (2.12 Å) Ti–O bond lengths. In the second Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six PO4 tetrahedra and faces with two TiO6 octahedra. All Ti–O bond lengths are 2.14 Å. In the third Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.94 Å) and three longer (2.07 Å) Ti–O bond lengths. In the fourth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There is three shorter (1.92 Å) and three longer (2.03 Å) Ti–O bond length. In the fifth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.93 Å) and three longer (2.07 Å) Ti–O bond lengths. Ni2+ is bonded to six O2- atoms to form distorted NiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.97 Å) and three longer (2.13 Å) Ni–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–51°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti+3.20+, one Ni2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti11CuP8 by Materials Project

Ti11CuP8 crystallizes in the orthorhombic Pbam space group. The structure is three-dimensional. there are six inequivalent Ti+2.09+ sites. In the first Ti+2.09+ site, Ti+2.09+ is bonded to five P3- atoms to form distorted TiP5 trigonal bipyramids that share corners with two equivalent TiP6 octahedra, corners with eight TiP5 square pyramids, edges with two equivalent TiP5 square pyramids, and edges with eight TiP5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 51°. There are a spread of Ti–P bond distances ranging from 2.47–2.51 Å. In the second Ti+2.09+ site, Ti+2.09+ is bonded to five P3- atoms to form TiP5 trigonal bipyramids that share corners with two equivalent TiP6 octahedra, corners with eight TiP5 square pyramids, corners with three equivalent TiP5 trigonal bipyramids, edges with two equivalent TiP5 square pyramids, edges with five TiP5 trigonal bipyramids, and a faceface with one TiP6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–P bond distances ranging from 2.45–2.56 Å. In the third Ti+2.09+ site, Ti+2.09+ is bonded to five P3- atoms to form distorted TiP5 square pyramids that share corners with two equivalent TiP6 octahedra, corners with eleven TiP5 trigonal bipyramids, an edgeedge with one TiP6 octahedra, edges with four TiP5 square pyramids, edges with two equivalent TiP5 trigonal bipyramids, and a faceface with one TiP5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 24°. There are a spread of Ti–P bond distances ranging from 2.43–2.57 Å. In the fourth Ti+2.09+ site, Ti+2.09+ is bonded to five P3- atoms to form TiP5 square pyramids that share corners with ten TiP5 trigonal bipyramids, edges with two equivalent TiP6 octahedra, edges with four TiP5 square pyramids, and edges with four TiP5 trigonal bipyramids. There are a spread of Ti–P bond distances ranging from 2.46–2.51 Å. In the fifth Ti+2.09+ site, Ti+2.09+ is bonded to five P3- atoms to form distorted TiP5 trigonal bipyramids that share a cornercorner with one TiP6 octahedra, corners with five TiP5 square pyramids, corners with seven TiP5 trigonal bipyramids, edges with two equivalent TiP5 square pyramids, edges with five TiP5 trigonal bipyramids, and a faceface with one TiP5 square pyramid. The corner-sharing octahedral tilt angles are 37°. There are a spread of Ti–P bond distances ranging from 2.50–2.70 Å. In the sixth Ti+2.09+ site, Ti+2.09+ is bonded to six P3- atoms to form TiP6 octahedra that share corners with four equivalent TiP5 square pyramids, corners with ten TiP5 trigonal bipyramids, edges with two equivalent TiP6 octahedra, edges with six TiP5 square pyramids, and faces with two equivalent TiP5 trigonal bipyramids. There are two shorter (2.56 Å) and four longer (2.62 Å) Ti–P bond lengths. Cu1+ is bonded in a distorted square co-planar geometry to four P3- atoms. There are two shorter (2.46 Å) and two longer (2.78 Å) Cu–P bond lengths. There are four inequivalent P3- sites. In the first P3- site, P3- is bonded in a 7-coordinate geometry to seven Ti+2.09+ and one Cu1+ atom. In the second P3- site, P3- is bonded in a 7-coordinate geometry to seven Ti+2.09+ atoms. In the third P3- site, P3- is bonded to seven Ti+2.09+ atoms to form a mixture of distorted edge and corner-sharing PTi7 pentagonal bipyramids. In the fourth P3- site, P3- is bonded in a 8-coordinate geometry to seven Ti+2.09+ and one Cu1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti11O14 by Materials Project

Ti11O14 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Ti+2.55+ sites. In the first Ti+2.55+ site, Ti+2.55+ 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 3–5°. There are a spread of Ti–O bond distances ranging from 2.09–2.12 Å. In the second Ti+2.55+ site, Ti+2.55+ 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 2–5°. There are a spread of Ti–O bond distances ranging from 2.07–2.10 Å. In the third Ti+2.55+ site, Ti+2.55+ 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 2–5°. There are a spread of Ti–O bond distances ranging from 2.03–2.14 Å. In the fourth Ti+2.55+ site, Ti+2.55+ 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 3–5°. There are four shorter (2.07 Å) and two longer (2.15 Å) Ti–O bond lengths. In the fifth Ti+2.55+ site, Ti+2.55+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are four shorter (2.07 Å) and two longer (2.11 Å) Ti–O bond lengths. In the sixth Ti+2.55+ site, Ti+2.55+ 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 2–5°. There are a spread of Ti–O bond distances ranging from 2.07–2.11 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to five Ti+2.55+ atoms to form a mixture of edge and corner-sharing OTi5 square pyramids. In the second O2- site, O2- is bonded to five Ti+2.55+ atoms to form a mixture of edge and corner-sharing OTi5 square pyramids. In the third O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+2.55+ atoms. In the fourth O2- site, O2- is bonded to five Ti+2.55+ atoms to form a mixture of edge and corner-sharing OTi5 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ba4Ti6Si4O25 by Materials Project

Ba4Ti6Si4O25 crystallizes in the monoclinic P2/c space group. The structure is three-dimensional. there are two inequivalent Ba sites. In the first Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.20 Å. In the second Ba site, Ba is bonded in a 11-coordinate geometry to eleven O atoms. There are a spread of Ba–O bond distances ranging from 2.65–3.30 Å. There are four 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, corners with two equivalent SiO4 tetrahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Ti–O bond distances ranging from 1.92–2.05 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with four TiO6 octahedra, corners with two equivalent SiO4 tetrahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Ti–O bond distances ranging from 1.94–2.05 Å. In the third Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Ti–O bond distances ranging from 1.83–2.13 Å. In the fourth Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share corners with two TiO6 octahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Ti–O bond distances ranging from 1.83–2.10 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two TiO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Si–O bond distances ranging from 1.63–1.65 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There is two shorter (1.62 Å) and two longer (1.65 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 56°. There is two shorter (1.62 Å) and two longer (1.65 Å) Si–O bond length. There are thirteen inequivalent O sites. In the first O site, O is bonded in a distorted bent 150 degrees geometry to two equivalent Ba and two Si atoms. In the second O site, O is bonded in a 2-coordinate geometry to two Ba, one Ti, and one Si atom. In the third O site, O is bonded in a distorted bent 120 degrees geometry to two Ba, one Ti, and one Si atom. In the fourth O site, O is bonded in a 4-coordinate geometry to two equivalent Ba and two equivalent Ti atoms. In the fifth O site, O is bonded in a distorted T-shaped geometry to one Ba and two equivalent Ti atoms. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Ba and three Ti atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to two equivalent Ba, one Ti, and one Si atom. In the eighth O site, O is bonded in a distorted bent 150 degrees geometry to two equivalent Ba and two Si atoms. In the ninth O site, O is bonded in a 2-coordinate geometry to two equivalent Ba, one Ti, and one Si atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to four Ba atoms. In the eleventh O site, O is bonded in a distorted T-shaped geometry to one Ba and two equivalent Ti atoms. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one Ba and three Ti atoms. In the thirteenth O site, O is bonded in a 4-coordinate geometry to two equivalent Ba and two equivalent Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgTi5 by Materials Project

MgTi5 is Magnesium-derived structured and crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. Mg is bonded to six equivalent Mg and six equivalent Ti atoms to form MgMg6Ti6 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiTi12 cuboctahedra, edges with six equivalent MgMg6Ti6 cuboctahedra, edges with twelve equivalent TiMg3Ti9 cuboctahedra, faces with six equivalent MgMg6Ti6 cuboctahedra, and faces with fourteen TiMg3Ti9 cuboctahedra. All Mg–Mg bond lengths are 2.96 Å. All Mg–Ti bond lengths are 3.09 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to three equivalent Mg and nine Ti atoms to form TiMg3Ti9 cuboctahedra that share corners with eighteen TiMg3Ti9 cuboctahedra, edges with six equivalent MgMg6Ti6 cuboctahedra, edges with twelve TiMg3Ti9 cuboctahedra, faces with six equivalent MgMg6Ti6 cuboctahedra, and faces with fourteen TiMg3Ti9 cuboctahedra. There are three shorter (2.82 Å) and six longer (2.96 Å) Ti–Ti bond lengths. In the second Ti site, Ti is bonded to twelve Ti atoms to form TiTi12 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiTi12 cuboctahedra, edges with eighteen TiMg3Ti9 cuboctahedra, a faceface with one MgMg6Ti6 cuboctahedra, and faces with nineteen TiMg3Ti9 cuboctahedra. There are three shorter (2.90 Å) and six longer (2.96 Å) Ti–Ti bond lengths. In the third Ti site, Ti is bonded to twelve Ti atoms to form TiTi12 cuboctahedra that share corners with eighteen TiMg3Ti9 cuboctahedra, edges with eighteen TiTi12 cuboctahedra, and faces with twenty TiMg3Ti9 cuboctahedra. There are three shorter (2.90 Å) and six longer (2.96 Å) Ti–Ti bond lengths. In the fourth Ti site, Ti is bonded to twelve Ti atoms to form TiTi12 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiTi12 cuboctahedra, edges with eighteen TiMg3Ti9 cuboctahedra, a faceface with one MgMg6Ti6 cuboctahedra, and faces with nineteen TiMg3Ti9 cuboctahedra. There are three shorter (2.82 Å) and six longer (2.96 Å) Ti–Ti bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Ti5Fe(PO4)6 by Materials Project

Ti5Fe(PO4)6 crystallizes in the trigonal R3 space group. The structure is three-dimensional. there are five inequivalent Ti+3.20+ sites. In the first Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra, a faceface with one TiO6 octahedra, and a faceface with one FeO6 octahedra. There are three shorter (2.11 Å) and three longer (2.13 Å) Ti–O bond lengths. In the second Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with six PO4 tetrahedra and faces with two TiO6 octahedra. There are three shorter (2.15 Å) and three longer (2.16 Å) Ti–O bond lengths. In the third Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.95 Å) and three longer (2.09 Å) Ti–O bond lengths. In the fourth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There is three shorter (1.90 Å) and three longer (2.05 Å) Ti–O bond length. In the fifth Ti+3.20+ site, Ti+3.20+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (1.92 Å) and three longer (2.10 Å) Ti–O bond lengths. Fe2+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with six PO4 tetrahedra and a faceface with one TiO6 octahedra. There are three shorter (2.01 Å) and three longer (2.22 Å) Fe–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 26–55°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 25–52°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Ti+3.20+, one Fe2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Ti+3.20+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.20+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on La4Ti9(Si2O15)2 by Materials Project

La4Ti9(Si2O15)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.76 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.68 Å. There are four inequivalent Ti+3.56+ sites. In the first Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–49°. There are a spread of Ti–O bond distances ranging from 1.92–2.16 Å. In the second Ti+3.56+ site, Ti+3.56+ 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 48–49°. There are a spread of Ti–O bond distances ranging from 1.86–2.28 Å. In the third Ti+3.56+ site, Ti+3.56+ 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 1.87–2.26 Å. In the fourth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six SiO4 tetrahedra. There are two shorter (1.94 Å) and four longer (2.13 Å) Ti–O bond lengths. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three TiO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–54°. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the second O2- site, O2- is bonded in a distorted single-bond geometry to two La3+ and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ti+3.56+, and one Si4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Ti+3.56+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the sixth O2- site, O2- is bonded in a distorted see-saw-like geometry to two La3+ and two Ti+3.56+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ti+3.56+, and one Si4+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Ti+3.56+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.56+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on La4Ti9(Si2O15)2 by Materials Project

La4Ti9(Si2O15)2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.68 Å. In the second La3+ site, La3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.76 Å. There are four inequivalent Ti+3.56+ sites. In the first Ti+3.56+ site, Ti+3.56+ 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 47–48°. There are a spread of Ti–O bond distances ranging from 1.86–2.28 Å. In the second Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six TiO6 octahedra, a cornercorner with one SiO4 tetrahedra, and edges with two equivalent TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Ti–O bond distances ranging from 1.92–2.17 Å. In the third Ti+3.56+ site, Ti+3.56+ 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 48°. There are a spread of Ti–O bond distances ranging from 1.87–2.28 Å. In the fourth Ti+3.56+ site, Ti+3.56+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six SiO4 tetrahedra. There are two shorter (1.94 Å) and four longer (2.13 Å) Ti–O bond lengths. There are two inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three TiO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–54°. There are a spread of Si–O bond distances ranging from 1.62–1.64 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and a cornercorner with one SiO4 tetrahedra. The corner-sharing octahedral tilt angles are 43°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are eleven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted see-saw-like geometry to two La3+ and two Ti+3.56+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ti+3.56+, and one Si4+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Ti+3.56+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one La3+ and three Ti+3.56+ atoms. In the sixth O2- site, O2- is bonded in a linear geometry to two Si4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.56+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two La3+, one Ti+3.56+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti+3.56+ and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a distorted single-bond geometry to two La3+ and one Si4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ti2S by Materials Project

Ti2S crystallizes in the orthorhombic Pnnm space group. The structure is three-dimensional. there are six inequivalent Ti sites. In the first Ti site, Ti is bonded in a 4-coordinate geometry to five S atoms. There are a spread of Ti–S bond distances ranging from 2.48–2.85 Å. In the second Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are a spread of Ti–S bond distances ranging from 2.44–2.72 Å. In the third Ti site, Ti is bonded to five S atoms to form distorted edge-sharing TiS5 trigonal bipyramids. There are a spread of Ti–S bond distances ranging from 2.45–2.48 Å. In the fourth Ti site, Ti is bonded in a distorted T-shaped geometry to three S atoms. There are a spread of Ti–S bond distances ranging from 2.51–2.61 Å. In the fifth Ti site, Ti is bonded in a 3-coordinate geometry to three S atoms. There are two shorter (2.44 Å) and one longer (2.52 Å) Ti–S bond lengths. In the sixth Ti site, Ti is bonded in a 4-coordinate geometry to four S atoms. There are two shorter (2.48 Å) and two longer (2.53 Å) Ti–S bond lengths. There are three inequivalent S sites. In the first S site, S is bonded in a 8-coordinate geometry to eight Ti atoms. In the second S site, S is bonded in a 9-coordinate geometry to nine Ti atoms. In the third S site, S is bonded to seven Ti atoms to form distorted edge-sharing STi7 pentagonal bipyramids.

36 MATERIALS SCIENCE↗

Materials Data on Ti2Se by Materials Project

Ti2Se crystallizes in the orthorhombic Pnnm space group. The structure is three-dimensional. there are six inequivalent Ti sites. In the first Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.60 Å) and two longer (2.65 Å) Ti–Se bond lengths. In the second Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are a spread of Ti–Se bond distances ranging from 2.58–2.79 Å. In the third Ti site, Ti is bonded in a 3-coordinate geometry to three Se atoms. There are two shorter (2.55 Å) and one longer (2.61 Å) Ti–Se bond lengths. In the fourth Ti site, Ti is bonded in a distorted T-shaped geometry to three Se atoms. There are a spread of Ti–Se bond distances ranging from 2.62–2.74 Å. In the fifth Ti site, Ti is bonded to five Se atoms to form distorted edge-sharing TiSe5 trigonal bipyramids. There are a spread of Ti–Se bond distances ranging from 2.56–2.58 Å. In the sixth Ti site, Ti is bonded in a 5-coordinate geometry to five Se atoms. There are a spread of Ti–Se bond distances ranging from 2.58–2.88 Å. There are three inequivalent Se sites. In the first Se site, Se is bonded to seven Ti atoms to form distorted edge-sharing SeTi7 pentagonal bipyramids. In the second Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms. In the third Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti2Se by Materials Project

Ti2Se crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are six inequivalent Ti sites. In the first Ti site, Ti is bonded in a distorted L-shaped geometry to two Se atoms. There are one shorter (2.62 Å) and one longer (2.69 Å) Ti–Se bond lengths. In the second Ti site, Ti is bonded in a 5-coordinate geometry to five Se atoms. There are a spread of Ti–Se bond distances ranging from 2.61–2.72 Å. In the third Ti site, Ti is bonded in a 4-coordinate geometry to four Se atoms. There are two shorter (2.60 Å) and two longer (2.63 Å) Ti–Se bond lengths. In the fourth Ti site, Ti is bonded to five Se atoms to form distorted edge-sharing TiSe5 trigonal bipyramids. There are a spread of Ti–Se bond distances ranging from 2.54–2.60 Å. In the fifth Ti site, Ti is bonded in a 5-coordinate geometry to five Se atoms. There are a spread of Ti–Se bond distances ranging from 2.58–2.91 Å. In the sixth Ti site, Ti is bonded in a 3-coordinate geometry to three Se atoms. There are two shorter (2.56 Å) and one longer (2.62 Å) Ti–Se bond lengths. There are three inequivalent Se sites. In the first Se site, Se is bonded in a 9-coordinate geometry to nine Ti atoms. In the second Se site, Se is bonded to seven Ti atoms to form distorted edge-sharing SeTi7 pentagonal bipyramids. In the third Se site, Se is bonded in a 8-coordinate geometry to eight Ti atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Ti7O15 by Materials Project

Mg2Ti7O15 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of Mg–O bond distances ranging from 2.03–2.18 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form distorted MgO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with six TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–46°. There are a spread of Mg–O bond distances ranging from 2.01–2.18 Å. There are four inequivalent Ti+3.71+ sites. In the first Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–49°. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the second Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. There are a spread of Ti–O bond distances ranging from 1.83–2.18 Å. In the third Ti+3.71+ site, Ti+3.71+ is bonded to six O2- atoms to form distorted TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, edges with two MgO6 octahedra, and edges with three TiO6 octahedra. The corner-sharing octahedra tilt angles range from 30–50°. There are a spread of Ti–O bond distances ranging from 1.83–2.19 Å. In the fourth Ti+3.71+ site, Ti+3.71+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ti–O bond distances ranging from 1.95–2.15 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.71+ atoms. In the second O2- site, O2- is bonded to one Mg2+ and three Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the third O2- site, O2- is bonded to one Mg2+ and three Ti+3.71+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+ and two Ti+3.71+ atoms. In the fifth O2- site, O2- is bonded to one Mg2+ and three Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OMgTi3 trigonal pyramids. In the sixth O2- site, O2- is bonded to two Mg2+ and two equivalent Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OMg2Ti2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Mg2+ and three Ti+3.71+ atoms to form distorted OMgTi3 trigonal pyramids that share corners with four OMgTi3 trigonal pyramids and edges with four OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded to four Ti+3.71+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to one Mg2+ and two equivalent Ti+3.71+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti5O12 by Materials Project

Li7Ti5O12 is Caswellsilverite-like structured and crystallizes in the monoclinic C2 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 LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with five TiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.07–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with five TiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–7°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with five TiO6 octahedra, edges with five TiO6 octahedra, and edges with seven LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–7°. There are a spread of Li–O bond distances ranging from 2.07–2.19 Å. In the fourth 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 6–7°. All Li–O bond lengths are 2.12 Å. There are five inequivalent Ti+3.40+ sites. In the first Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There is four shorter (1.98 Å) and two longer (1.99 Å) Ti–O bond length. In the second Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form TiO6 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 3–4°. There are four shorter (2.06 Å) and two longer (2.07 Å) Ti–O bond lengths. In the third Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form TiO6 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 4°. There are four shorter (2.06 Å) and two longer (2.07 Å) Ti–O bond lengths. In the fourth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO6 octahedra, edges with three equivalent TiO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. All Ti–O bond lengths are 1.98 Å. In the fifth Ti+3.40+ site, Ti+3.40+ is bonded to six O2- atoms to form TiO6 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 4°. There are four shorter (2.06 Å) and two longer (2.07 Å) Ti–O bond lengths. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Ti+3.40+ atoms to form a mixture of edge and corner-sharing OLi3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to four Li1+ and two Ti+3.40+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O2- site, O2- is bonded to four Li1+ and two Ti+3.40+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fourth O2- site, O2- is bonded to three Li1+ and three Ti+3.40+ atoms to form a mixture of edge and corner-sharing OLi3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the fifth O2- site, O2- is bonded to three Li1+ and three Ti+3.40+ atoms to form a mixture of edge and corner-sharing OLi3Ti3 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the sixth O2- site, O2- is bonded to four Li1+ and two Ti+3.40+ atoms to form a mixture of edge and corner-sharing OLi4Ti2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗

Materials Data on MgTi by Materials Project

MgTi is beta-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to seven Mg and five Ti atoms to form MgMg7Ti5 cuboctahedra that share corners with six equivalent TiMg5Ti7 cuboctahedra, corners with twelve MgMg7Ti5 cuboctahedra, edges with five MgMg7Ti5 cuboctahedra, edges with thirteen TiMg5Ti7 cuboctahedra, faces with ten MgMg7Ti5 cuboctahedra, and faces with ten TiMg5Ti7 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.95–3.14 Å. There are a spread of Mg–Ti bond distances ranging from 3.10–3.32 Å. In the second Mg site, Mg is bonded to seven Mg and five Ti atoms to form MgMg7Ti5 cuboctahedra that share corners with six equivalent MgMg7Ti5 cuboctahedra, corners with twelve TiMg5Ti7 cuboctahedra, edges with eight MgMg7Ti5 cuboctahedra, edges with ten TiMg5Ti7 cuboctahedra, faces with ten MgMg7Ti5 cuboctahedra, and faces with ten TiMg5Ti7 cuboctahedra. There are two shorter (2.97 Å) and two longer (3.10 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 3.14–3.26 Å. In the third Mg site, Mg is bonded to six Mg and six Ti atoms to form distorted MgMg6Ti6 cuboctahedra that share corners with six equivalent TiMg5Ti7 cuboctahedra, corners with twelve MgMg7Ti5 cuboctahedra, edges with nine MgMg7Ti5 cuboctahedra, edges with nine TiMg5Ti7 cuboctahedra, faces with eight MgMg7Ti5 cuboctahedra, and faces with twelve TiMg5Ti7 cuboctahedra. Both Mg–Mg bond lengths are 2.97 Å. There are a spread of Mg–Ti bond distances ranging from 2.95–3.01 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded to five Mg and seven Ti atoms to form TiMg5Ti7 cuboctahedra that share corners with six equivalent MgMg7Ti5 cuboctahedra, corners with twelve TiMg5Ti7 cuboctahedra, edges with five TiMg6Ti6 cuboctahedra, edges with thirteen MgMg7Ti5 cuboctahedra, faces with ten MgMg7Ti5 cuboctahedra, and faces with ten TiMg5Ti7 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.81–2.98 Å. In the second Ti site, Ti is bonded to six Mg and six Ti atoms to form TiMg6Ti6 cuboctahedra that share corners with six equivalent MgMg7Ti5 cuboctahedra, corners with twelve TiMg5Ti7 cuboctahedra, edges with nine MgMg7Ti5 cuboctahedra, edges with nine TiMg5Ti7 cuboctahedra, faces with eight TiMg5Ti7 cuboctahedra, and faces with twelve MgMg7Ti5 cuboctahedra. There are two shorter (2.83 Å) and two longer (2.97 Å) Ti–Ti bond lengths. In the third Ti site, Ti is bonded to five Mg and seven Ti atoms to form TiMg5Ti7 cuboctahedra that share corners with six equivalent TiMg5Ti7 cuboctahedra, corners with twelve MgMg7Ti5 cuboctahedra, edges with eight TiMg5Ti7 cuboctahedra, edges with ten MgMg7Ti5 cuboctahedra, faces with ten MgMg7Ti5 cuboctahedra, and faces with ten TiMg5Ti7 cuboctahedra. Both Ti–Ti bond lengths are 2.97 Å.

36 MATERIALS SCIENCE↗

Materials Data on Sr2Ti5Al17O38 by Materials Project

Sr2Ti5Al17O38 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Sr is bonded to twelve O atoms to form distorted SrO12 cuboctahedra that share corners with two equivalent SrO12 cuboctahedra, corners with five AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, edges with three AlO6 octahedra, an edgeedge with one AlO4 tetrahedra, faces with two equivalent SrO12 cuboctahedra, a faceface with one AlO6 octahedra, and faces with five TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Sr–O bond distances ranging from 2.64–3.04 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent TiO6 octahedra, edges with three AlO6 octahedra, and faces with four equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–18°. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the second Ti site, Ti is bonded to six O atoms to form TiO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with four AlO6 octahedra, corners with three equivalent AlO4 tetrahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the third Ti site, Ti is bonded to six O atoms to form distorted TiO6 octahedra that share corners with three TiO6 octahedra, corners with four AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one AlO6 octahedra, and faces with three equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 13–55°. There are a spread of Ti–O bond distances ranging from 1.88–2.24 Å. There are nine inequivalent Al sites. In the first Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two TiO6 octahedra, corners with two AlO6 octahedra, corners with three AlO4 tetrahedra, edges with four AlO6 octahedra, and a faceface with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 14–52°. There are a spread of Al–O bond distances ranging from 1.83–2.06 Å. In the second Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with three equivalent SrO12 cuboctahedra, a cornercorner with one TiO6 octahedra, corners with two AlO6 octahedra, corners with two AlO4 tetrahedra, edges with two TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedral tilt angles are 52°. There are a spread of Al–O bond distances ranging from 1.84–2.09 Å. In the third Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent SrO12 cuboctahedra, corners with four equivalent AlO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with six AlO6 octahedra. There are a spread of Al–O bond distances ranging from 1.90–1.92 Å. In the fourth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share a cornercorner with one SrO12 cuboctahedra, a cornercorner with one TiO6 octahedra, corners with eight AlO6 octahedra, and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of Al–O bond distances ranging from 1.76–1.82 Å. In the fifth Al site, Al is bonded to four O atoms to form AlO4 tetrahedra that share corners with three equivalent TiO6 octahedra and corners with eight AlO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Al–O bond distances ranging from 1.77–1.83 Å. In the sixth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two AlO6 octahedra, corners with two equivalent AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with three AlO6 octahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of Al–O bond distances ranging from 1.89–1.98 Å. In the seventh Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with three AlO6 octahedra, a cornercorner with one AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 21–56°. There are a spread of Al–O bond distances ranging from 1.84–2.04 Å. In the eighth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one TiO6 octahedra, corners with two AlO6 octahedra, corners with two equivalent AlO4 tetrahedra, an edgeedge with one SrO12 cuboctahedra, an edgeedge with one TiO6 octahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Al–O bond distances ranging from 1.84–2.04 Å. In the ninth Al site, Al is bonded to six O atoms to form AlO6 octahedra that share a cornercorner with one SrO12 cuboctahedra, a cornercorner with one AlO6 octahedra, corners with two equivalent TiO6 octahedra, corners with four AlO4 tetrahedra, and edges with four AlO6 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Al–O bond distances ranging from 1.85–2.01 Å. There are nineteen inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to one Ti and two Al atoms. In the second O site, O is bonded in a 2-coordinate geometry to two equivalent Sr, one Ti, and one Al atom. In the third O site, O is bonded to four Al atoms to form distorted OAl4 tetrahedra that share a cornercorner with one OTiAl3 trigonal pyramid and an edgeedge with one OAl4 trigonal pyramid. In the fourth O site, O is bonded in a distorted trigonal planar geometry to two Ti and one Al atom. In the fifth O site, O is bonded in a 4-coordinate geometry to one Sr and three Al atoms. In the sixth O site, O is bonded in a 4-coordinate geometry to one Sr, one Ti, and two Al atoms. In the seventh O site, O is bonded to one Ti and three Al atoms to form distorted corner-sharing OTiAl3 trigonal pyramids. In the eighth O site, O is bonded in a trigonal planar geometry to one Ti and two Al atoms. In the ninth O site, O is bonded in a 2-coordinate geometry to three equivalent Sr and two Ti atoms. In the tenth O site, O is bonded in a trigonal planar geometry to one Ti and two Al atoms. In the eleventh O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to one Sr, one Ti, and two Al atoms. In the thirteenth O site, O is bonded to four Al atoms to form a mixture of distorted corner and edge-sharing OAl4 trigonal pyramids. In the fourteenth O site, O is bonded in a 3-coordinate geometry to two equivalent Sr, two Ti, and one Al atom. In the fifteenth O site, O is bonded in a trigonal planar geometry to three Al atoms. In the sixteenth O site, O is bonded in a 4-coordinate geometry to one Sr, one Ti, and three Al atoms. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to four Al atoms. In the eighteenth O site, O is bonded in a 4-coordinate geometry to one Sr and three Al atoms. In the nineteenth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ti and three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgTi by Materials Project

MgTi is beta-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to five Mg and seven Ti atoms to form MgMg5Ti7 cuboctahedra that share corners with six equivalent TiMg6Ti6 cuboctahedra, corners with twelve MgMg5Ti7 cuboctahedra, edges with seven MgMg6Ti6 cuboctahedra, edges with eleven TiMg5Ti7 cuboctahedra, faces with nine MgMg5Ti7 cuboctahedra, and faces with eleven TiMg5Ti7 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.97–3.12 Å. There are a spread of Mg–Ti bond distances ranging from 3.01–3.05 Å. In the second Mg site, Mg is bonded to six Mg and six Ti atoms to form MgMg6Ti6 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with six MgMg5Ti7 cuboctahedra, edges with twelve TiMg5Ti7 cuboctahedra, faces with nine TiMg5Ti7 cuboctahedra, and faces with eleven MgMg5Ti7 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.97–3.12 Å. There are a spread of Mg–Ti bond distances ranging from 3.10–3.18 Å. In the third Mg site, Mg is bonded to seven Mg and five Ti atoms to form distorted MgMg7Ti5 cuboctahedra that share corners with six equivalent TiMg6Ti6 cuboctahedra, corners with twelve MgMg5Ti7 cuboctahedra, edges with five MgMg5Ti7 cuboctahedra, edges with thirteen TiMg5Ti7 cuboctahedra, faces with ten MgMg5Ti7 cuboctahedra, and faces with ten TiMg5Ti7 cuboctahedra. Both Mg–Mg bond lengths are 2.97 Å. There are a spread of Mg–Ti bond distances ranging from 2.97–3.13 Å. There are three inequivalent Ti sites. In the first Ti site, Ti is bonded to five Mg and seven Ti atoms to form distorted TiMg5Ti7 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with five TiMg6Ti6 cuboctahedra, edges with thirteen MgMg5Ti7 cuboctahedra, faces with ten MgMg5Ti7 cuboctahedra, and faces with ten TiMg5Ti7 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.78–3.34 Å. In the second Ti site, Ti is bonded to six Mg and six Ti atoms to form distorted TiMg6Ti6 cuboctahedra that share corners with six equivalent TiMg6Ti6 cuboctahedra, corners with twelve MgMg5Ti7 cuboctahedra, edges with six TiMg5Ti7 cuboctahedra, edges with twelve MgMg5Ti7 cuboctahedra, faces with nine MgMg5Ti7 cuboctahedra, and faces with eleven TiMg5Ti7 cuboctahedra. There are one shorter (2.75 Å) and two longer (2.97 Å) Ti–Ti bond lengths. In the third Ti site, Ti is bonded to seven Mg and five Ti atoms to form TiMg7Ti5 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg7Ti5 cuboctahedra, edges with seven TiMg5Ti7 cuboctahedra, edges with eleven MgMg5Ti7 cuboctahedra, faces with nine TiMg5Ti7 cuboctahedra, and faces with eleven MgMg5Ti7 cuboctahedra. Both Ti–Ti bond lengths are 2.97 Å.

36 MATERIALS SCIENCE↗