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Materials Data on Mg3Ti4 by Materials Project

Mg3Ti4 crystallizes in the hexagonal P6_3/m space group. The structure is three-dimensional. Mg is bonded to four equivalent Mg and eight Ti atoms to form MgMg4Ti8 cuboctahedra that share corners with six equivalent MgMg4Ti8 cuboctahedra, corners with twelve TiMg9Ti3 cuboctahedra, edges with six equivalent MgMg4Ti8 cuboctahedra, edges with twelve TiMg9Ti3 cuboctahedra, faces with ten equivalent MgMg4Ti8 cuboctahedra, and faces with ten TiMg9Ti3 cuboctahedra. There are two shorter (3.01 Å) and two longer (3.05 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.98–3.11 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to nine equivalent Mg and three equivalent Ti atoms to form distorted TiMg9Ti3 cuboctahedra that share corners with nine equivalent MgMg4Ti8 cuboctahedra, corners with nine equivalent TiMg5Ti7 cuboctahedra, edges with three equivalent MgMg4Ti8 cuboctahedra, edges with fifteen TiMg9Ti3 cuboctahedra, faces with nine equivalent MgMg4Ti8 cuboctahedra, and faces with eleven TiMg9Ti3 cuboctahedra. All Ti–Ti bond lengths are 3.09 Å. In the second Ti site, Ti is bonded to five equivalent Mg and seven Ti atoms to form distorted TiMg5Ti7 cuboctahedra that share corners with nine equivalent MgMg4Ti8 cuboctahedra, corners with nine TiMg9Ti3 cuboctahedra, edges with seven TiMg9Ti3 cuboctahedra, edges with eleven equivalent MgMg4Ti8 cuboctahedra, faces with seven equivalent MgMg4Ti8 cuboctahedra, and faces with thirteen TiMg9Ti3 cuboctahedra. There are two shorter (2.86 Å) and four longer (2.95 Å) Ti–Ti bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Ti4 by Materials Project

Mg3Ti4 is beta-derived structured and crystallizes in the hexagonal P6_3/m space group. The structure is three-dimensional. Mg is bonded to six equivalent Mg and six Ti atoms to form distorted MgMg6Ti6 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg3Ti9 cuboctahedra, edges with four equivalent MgMg6Ti6 cuboctahedra, edges with fourteen TiMg3Ti9 cuboctahedra, faces with ten equivalent MgMg6Ti6 cuboctahedra, and faces with ten TiMg3Ti9 cuboctahedra. There are four shorter (2.98 Å) and two longer (3.15 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 2.94–3.10 Å. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to three equivalent Mg and nine equivalent Ti atoms to form distorted TiMg3Ti9 cuboctahedra that share corners with nine equivalent MgMg6Ti6 cuboctahedra, corners with nine equivalent TiMg5Ti7 cuboctahedra, edges with nine equivalent MgMg6Ti6 cuboctahedra, edges with nine TiMg3Ti9 cuboctahedra, faces with nine equivalent MgMg6Ti6 cuboctahedra, and faces with eleven TiMg3Ti9 cuboctahedra. There are six shorter (2.90 Å) and three longer (3.10 Å) Ti–Ti bond lengths. In the second Ti site, Ti is bonded to five equivalent Mg and seven Ti atoms to form distorted TiMg5Ti7 cuboctahedra that share corners with nine equivalent MgMg6Ti6 cuboctahedra, corners with nine TiMg3Ti9 cuboctahedra, edges with seven TiMg3Ti9 cuboctahedra, edges with eleven equivalent MgMg6Ti6 cuboctahedra, faces with seven equivalent MgMg6Ti6 cuboctahedra, and faces with thirteen TiMg3Ti9 cuboctahedra. There are two shorter (2.91 Å) and two longer (2.98 Å) Ti–Ti bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Ti4(PO4)6 by Materials Project

Mg3Ti4P6O24 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 trigonal bipyramids that share a cornercorner with one MgO6 octahedra, corners with five PO4 tetrahedra, and edges with two TiO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Mg–O bond distances ranging from 2.01–2.15 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with six PO4 tetrahedra, and corners with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 63°. There are two shorter (2.06 Å) and four longer (2.23 Å) Mg–O bond lengths. There are two inequivalent Ti3+ sites. In the first Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the second Ti3+ site, Ti3+ is bonded to six O2- atoms to form TiO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with six PO4 tetrahedra, an edgeedge with one TiO6 octahedra, and an edgeedge with one MgO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 63°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. There are three 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 MgO6 octahedra, corners with five TiO6 octahedra, and a cornercorner with one MgO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 20–57°. 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 a cornercorner with one MgO6 octahedra, corners with three TiO6 octahedra, and corners with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 25–58°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MgO6 octahedra, corners with four TiO6 octahedra, and corners with two equivalent MgO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Mg2+, one Ti3+, and one P5+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to two Mg2+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Ti3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Ti3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Mg2+, one Ti3+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mg2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mg2+, one Ti3+, and one P5+ atom.

36 MATERIALS SCIENCE↗