La2Ti3AgO9 crystallizes in the trigonal P-3m1 space group. La(1) is bonded to three equivalent O(2) and nine equivalent O(1) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ag(1)O12 cuboctahedra, corners with nine equivalent La(1)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, faces with three equivalent Ag(1)O12 cuboctahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with five equivalent Ti(2)O6 octahedra. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to six equivalent O(1) atoms to form TiO6 octahedra that share corners with six equivalent Ti(2)O6 octahedra, faces with two equivalent Ag(1)O12 cuboctahedra, and faces with six equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. In the second Ti site, Ti(2) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form TiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, faces with three equivalent Ag(1)O12 cuboctahedra, and faces with five equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-6°. Ag(1) is bonded to six equivalent O(1) and six equivalent O(2) atoms to form distorted AgO12 cuboctahedra that share corners with six equivalent La(1)O12 cuboctahedra, corners with six equivalent Ag(1)O12 cuboctahedra, faces with six equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, and faces with six equivalent Ti(2)O6 octahedra. There are two inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to three equivalent La(1), one Ti(1), one Ti(2), and one Ag(1) atom. In the second O site, O(2) is bonded in a distorted linear geometry to two equivalent La(1), two equivalent Ti(2), and two equivalent Ag(1) atoms.
La2Ti3AgO9 crystallizes in the trigonal P-3m1 space group. La(1) is bonded to three equivalent O(2) and nine equivalent O(1) atoms to form LaO12 cuboctahedra that share corners with three equivalent Ag(1)O12 cuboctahedra, corners with nine equivalent La(1)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, faces with three equivalent Ag(1)O12 cuboctahedra, faces with three equivalent Ti(1)O6 octahedra, and faces with five equivalent Ti(2)O6 octahedra. All La(1)-O(2) bond lengths are 2.74 Å. There are three shorter (2.73 Å) and six longer (2.79 Å) La(1)-O(1) bond lengths. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to six equivalent O(1) atoms to form TiO6 octahedra that share corners with six equivalent Ti(2)O6 octahedra, faces with two equivalent Ag(1)O12 cuboctahedra, and faces with six equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 6°. All Ti(1)-O(1) bond lengths are 1.97 Å. In the second Ti site, Ti(2) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form TiO6 octahedra that share corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, faces with three equivalent Ag(1)O12 cuboctahedra, and faces with five equivalent La(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-6°. All Ti(2)-O(1) bond lengths are 1.99 Å. All Ti(2)-O(2) bond lengths are 1.95 Å. Ag(1) is bonded to six equivalent O(1) and six equivalent O(2) atoms to form distorted AgO12 cuboctahedra that share corners with six equivalent La(1)O12 cuboctahedra, corners with six equivalent Ag(1)O12 cuboctahedra, faces with six equivalent La(1)O12 cuboctahedra, faces with two equivalent Ti(1)O6 octahedra, and faces with six equivalent Ti(2)O6 octahedra. All Ag(1)-O(1) bond lengths are 2.87 Å. All Ag(1)-O(2) bond lengths are 2.78 Å. There are two inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to three equivalent La(1), one Ti(1), one Ti(2), and one Ag(1) atom. In the second O site, O(2) is bonded in a distorted linear geometry to two equivalent La(1), two equivalent Ti(2), and two equivalent Ag(1) atoms.