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Materials Data on Tb3Al5O12 by Materials Project

Tb3Al5O12 crystallizes in the cubic Ia-3d space group. The structure is three-dimensional. Tb3+ is bonded in a distorted body-centered cubic geometry to eight equivalent O2- atoms. There are four shorter (2.34 Å) and four longer (2.47 Å) Tb–O bond lengths. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four equivalent O2- atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. All Al–O bond lengths are 1.79 Å. In the second Al3+ site, Al3+ is bonded to six equivalent O2- atoms to form corner-sharing AlO6 octahedra. All Al–O bond lengths are 1.94 Å. O2- is bonded in a 4-coordinate geometry to two equivalent Tb3+ and two Al3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on TbAlO3 by Materials Project

TbAlO3 is Orthorhombic Perovskite structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. Tb3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Tb–O bond distances ranging from 2.28–2.62 Å. Al3+ is bonded to six O2- atoms to form corner-sharing AlO6 octahedra. The corner-sharing octahedral tilt angles are 27°. There is four shorter (1.92 Å) and two longer (1.94 Å) Al–O bond length. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to three equivalent Tb3+ and two equivalent Al3+ atoms. In the second O2- site, O2- is bonded to two equivalent Tb3+ and two equivalent Al3+ atoms to form distorted corner-sharing OTb2Al2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Tb4Al2O9 by Materials Project

Tb4Al2O9 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are four inequivalent Tb3+ sites. In the first Tb3+ site, Tb3+ is bonded to seven O2- atoms to form distorted TbO7 pentagonal bipyramids that share corners with three AlO4 tetrahedra, edges with two equivalent TbO6 octahedra, and edges with two AlO4 tetrahedra. There are a spread of Tb–O bond distances ranging from 2.27–2.55 Å. In the second Tb3+ site, Tb3+ is bonded to six O2- atoms to form TbO6 octahedra that share corners with five AlO4 tetrahedra and edges with two equivalent TbO7 pentagonal bipyramids. There are a spread of Tb–O bond distances ranging from 2.24–2.39 Å. In the third Tb3+ site, Tb3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Tb–O bond distances ranging from 2.28–2.67 Å. In the fourth Tb3+ site, Tb3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Tb–O bond distances ranging from 2.28–2.37 Å. There are two inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with three equivalent TbO6 octahedra, a cornercorner with one TbO7 pentagonal bipyramid, a cornercorner with one AlO4 tetrahedra, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 51–62°. There are a spread of Al–O bond distances ranging from 1.75–1.78 Å. In the second Al3+ site, Al3+ is bonded to four O2- atoms to form AlO4 tetrahedra that share corners with two equivalent TbO6 octahedra, corners with two equivalent TbO7 pentagonal bipyramids, a cornercorner with one AlO4 tetrahedra, and an edgeedge with one TbO7 pentagonal bipyramid. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Al–O bond distances ranging from 1.76–1.78 Å. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Tb3+ and one Al3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Al3+ atom. In the third O2- site, O2- is bonded to two Tb3+ and two Al3+ atoms to form a mixture of distorted edge and corner-sharing OTb2Al2 tetrahedra. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Al3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Tb3+ and one Al3+ atom. In the sixth O2- site, O2- is bonded to four Tb3+ atoms to form OTb4 tetrahedra that share corners with five OTb2Al2 tetrahedra and edges with two OTb4 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to three Tb3+ and one Al3+ atom. In the eighth O2- site, O2- is bonded to four Tb3+ atoms to form a mixture of edge and corner-sharing OTb4 tetrahedra. In the ninth O2- site, O2- is bonded to three Tb3+ and one Al3+ atom to form a mixture of distorted edge and corner-sharing OTb3Al tetrahedra.

36 MATERIALS SCIENCE↗