La8GaAl7O24 is (Cubic) Perovskite-derived structured and crystallizes in the cubic Pm-3m space group. La(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form LaO12 cuboctahedra that share corners with twelve equivalent La(1)O12 cuboctahedra; faces with six equivalent La(1)O12 cuboctahedra;  a faceface with one Ga(1)O6 octahedra;  a faceface with one Al(3)O6 octahedra; faces with three equivalent Al(1)O6 octahedra; and faces with three Al(2,2)O6 octahedra. Ga(1) is bonded to six equivalent O(1) atoms to form GaO6 octahedra that share corners with six equivalent Al(1)O6 octahedra and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form AlO6 octahedra that share corners with two equivalent Ga(1)O6 octahedra; corners with four Al(2,2)O6 octahedra; and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the second Al site, Al(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form AlO6 octahedra that share corners with two equivalent Al(3)O6 octahedra, corners with four equivalent Al(1)O6 octahedra, and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Al site, Al(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form AlO6 octahedra that share corners with two equivalent Al(3)O6 octahedra, corners with four equivalent Al(1)O6 octahedra, and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the fourth Al site, Al(3) is bonded to six equivalent O(3) atoms to form AlO6 octahedra that share corners with six Al(2,2)O6 octahedra and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are three inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to four equivalent La(1), one Ga(1), and one Al(1) atom. In the second O site, O(2) is bonded in a distorted linear geometry to four equivalent La(1), one Al(1), and one Al(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to four equivalent La(1), one Al(2), and one Al(3) atom.
La8GaAl7O24 is (Cubic) Perovskite-derived structured and crystallizes in the cubic Pm-3m space group. La(1) is bonded to three equivalent O(1), three equivalent O(3), and six equivalent O(2) atoms to form LaO12 cuboctahedra that share corners with twelve equivalent La(1)O12 cuboctahedra; faces with six equivalent La(1)O12 cuboctahedra;  a faceface with one Ga(1)O6 octahedra;  a faceface with one Al(3)O6 octahedra; faces with three equivalent Al(1)O6 octahedra; and faces with three Al(2,2)O6 octahedra. All La(1)-O(1) bond lengths are 2.71 Å. All La(1)-O(3) bond lengths are 2.70 Å. All La(1)-O(2) bond lengths are 2.71 Å. Ga(1) is bonded to six equivalent O(1) atoms to form GaO6 octahedra that share corners with six equivalent Al(1)O6 octahedra and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. All Ga(1)-O(1) bond lengths are 1.96 Å. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form AlO6 octahedra that share corners with two equivalent Ga(1)O6 octahedra; corners with four Al(2,2)O6 octahedra; and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Both Al(1)-O(1) bond lengths are 1.87 Å. All Al(1)-O(2) bond lengths are 1.92 Å. In the second Al site, Al(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form AlO6 octahedra that share corners with two equivalent Al(3)O6 octahedra, corners with four equivalent Al(1)O6 octahedra, and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Both Al(2)-O(3) bond lengths are 1.91 Å. All Al(2)-O(2) bond lengths are 1.91 Å. In the third Al site, Al(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form AlO6 octahedra that share corners with two equivalent Al(3)O6 octahedra, corners with four equivalent Al(1)O6 octahedra, and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. Both Al(2)-O(3) bond lengths are 1.91 Å. All Al(2)-O(2) bond lengths are 1.91 Å. In the fourth Al site, Al(3) is bonded to six equivalent O(3) atoms to form AlO6 octahedra that share corners with six Al(2,2)O6 octahedra and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. All Al(3)-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 distorted linear geometry to four equivalent La(1), one Ga(1), and one Al(1) atom. In the second O site, O(2) is bonded in a distorted linear geometry to four equivalent La(1), one Al(1), and one Al(2) atom. In the third O site, O(3) is bonded in a distorted linear geometry to four equivalent La(1), one Al(2), and one Al(3) atom.