DOI: 10.17188/1695907
title: Materials Data on Ba4LaTiNb3O15 by Materials Project

description: LaBa4Nb3TiO15 crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with four BaO12 cuboctahedra, faces with three equivalent TiO6 octahedra, and faces with four NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.74–2.99 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, a faceface with one TiO6 octahedra, and faces with six NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.85–2.91 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, corners with three equivalent NbO6 octahedra, faces with four BaO12 cuboctahedra, and faces with four NbO6 octahedra. The corner-sharing octahedral tilt angles are 25°. There are a spread of Ba–O bond distances ranging from 2.80–3.00 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share corners with nine BaO12 cuboctahedra, faces with six BaO12 cuboctahedra, faces with three equivalent TiO6 octahedra, and faces with five NbO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.85–2.92 Å. La3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are three shorter (2.43 Å) and six longer (2.98 Å) La–O bond lengths. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–10°. There are three shorter (1.88 Å) and three longer (2.20 Å) Ti–O bond lengths. There are three inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent TiO6 octahedra, corners with three equivalent NbO6 octahedra, and faces with eight BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are three shorter (1.99 Å) and three longer (2.09 Å) Nb–O bond lengths. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent NbO6 octahedra and faces with seven BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 2°. There are three shorter (1.94 Å) and three longer (2.16 Å) Nb–O bond lengths. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three equivalent BaO12 cuboctahedra, corners with three equivalent TiO6 octahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedral tilt angles are 10°. There are three shorter (1.88 Å) and three longer (2.25 Å) Nb–O bond lengths. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted single-bond geometry to two Ba2+, two equivalent La3+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+, one La3+, and one Nb5+ atom. In the third O2- site, O2- is bonded in a distorted linear geometry to four Ba2+ and two Nb5+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to three Ba2+, one Ti4+, and one Nb5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Ba2+, one Ti4+, and one Nb5+ atom.