Pr3LaAl4O12 crystallizes in the trigonal R32 space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to three equivalent O(2), three equivalent O(3), and six equivalent O(1) atoms to form distorted PrO12 cuboctahedra that share corners with twelve equivalent Pr(1)O12 cuboctahedra, faces with three equivalent Pr(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, faces with four equivalent Al(1)O6 octahedra, and faces with four equivalent Al(2)O6 octahedra. In the second Pr site, Pr(2) is bonded to six equivalent O(1) and six equivalent O(3) atoms to form distorted PrO12 cuboctahedra that share corners with six equivalent Pr(2)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with six equivalent Pr(1)O12 cuboctahedra, faces with two equivalent Al(1)O6 octahedra, and faces with six equivalent Al(2)O6 octahedra. La(1) is bonded to six equivalent O(1) and six equivalent O(2) atoms to form distorted LaO12 cuboctahedra that share corners with six equivalent Pr(2)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with six equivalent Pr(1)O12 cuboctahedra, faces with two equivalent Al(2)O6 octahedra, and faces with six equivalent Al(1)O6 octahedra. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form AlO6 octahedra that share corners with three equivalent Al(1)O6 octahedra, corners with three equivalent Al(2)O6 octahedra,  a faceface with one Pr(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, and faces with four equivalent Pr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 12-13°. In the second Al site, Al(2) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form AlO6 octahedra that share corners with three equivalent Al(1)O6 octahedra, corners with three equivalent Al(2)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Pr(2)O12 cuboctahedra, and faces with four equivalent Pr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 13°. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one Pr(2), two equivalent Pr(1), one La(1), one Al(1), and one Al(2) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to two equivalent Pr(1), two equivalent La(1), and two equivalent Al(1) atoms. In the third O site, O(3) is bonded in a 2-coordinate geometry to two equivalent Pr(1), two equivalent Pr(2), and two equivalent Al(2) atoms.
Pr3LaAl4O12 crystallizes in the trigonal R32 space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded to three equivalent O(2), three equivalent O(3), and six equivalent O(1) atoms to form distorted PrO12 cuboctahedra that share corners with twelve equivalent Pr(1)O12 cuboctahedra, faces with three equivalent Pr(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, faces with four equivalent Al(1)O6 octahedra, and faces with four equivalent Al(2)O6 octahedra. All Pr(1)-O(2) bond lengths are 2.69 Å. All Pr(1)-O(3) bond lengths are 2.68 Å. There are three shorter (2.48 Å) and three longer (2.91 Å) Pr(1)-O(1) bond lengths. In the second Pr site, Pr(2) is bonded to six equivalent O(1) and six equivalent O(3) atoms to form distorted PrO12 cuboctahedra that share corners with six equivalent Pr(2)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with six equivalent Pr(1)O12 cuboctahedra, faces with two equivalent Al(1)O6 octahedra, and faces with six equivalent Al(2)O6 octahedra. All Pr(2)-O(1) bond lengths are 2.68 Å. There are three shorter (2.48 Å) and three longer (2.91 Å) Pr(2)-O(3) bond lengths. La(1) is bonded to six equivalent O(1) and six equivalent O(2) atoms to form distorted LaO12 cuboctahedra that share corners with six equivalent Pr(2)O12 cuboctahedra, corners with six equivalent La(1)O12 cuboctahedra, faces with six equivalent Pr(1)O12 cuboctahedra, faces with two equivalent Al(2)O6 octahedra, and faces with six equivalent Al(1)O6 octahedra. All La(1)-O(1) bond lengths are 2.70 Å. There are three shorter (2.49 Å) and three longer (2.89 Å) La(1)-O(2) bond lengths. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form AlO6 octahedra that share corners with three equivalent Al(1)O6 octahedra, corners with three equivalent Al(2)O6 octahedra,  a faceface with one Pr(2)O12 cuboctahedra, faces with three equivalent La(1)O12 cuboctahedra, and faces with four equivalent Pr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 12-13°. All Al(1)-O(1) bond lengths are 1.91 Å. All Al(1)-O(2) bond lengths are 1.91 Å. In the second Al site, Al(2) is bonded to three equivalent O(1) and three equivalent O(3) atoms to form AlO6 octahedra that share corners with three equivalent Al(1)O6 octahedra, corners with three equivalent Al(2)O6 octahedra,  a faceface with one La(1)O12 cuboctahedra, faces with three equivalent Pr(2)O12 cuboctahedra, and faces with four equivalent Pr(1)O12 cuboctahedra. The corner-sharing octahedral tilt angles are 13°. All Al(2)-O(1) bond lengths are 1.91 Å. All Al(2)-O(3) bond lengths are 1.91 Å. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 2-coordinate geometry to one Pr(2), two equivalent Pr(1), one La(1), one Al(1), and one Al(2) atom. In the second O site, O(2) is bonded in a 2-coordinate geometry to two equivalent Pr(1), two equivalent La(1), and two equivalent Al(1) atoms. In the third O site, O(3) is bonded in a 2-coordinate geometry to two equivalent Pr(1), two equivalent Pr(2), and two equivalent Al(2) atoms.