The structure described by 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. is represented by the CIF card [CIF]
data_La8Al7GaO24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.652
_cell_length_b   7.652
_cell_length_c   7.652
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   448.074
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  La  La0  1  0.250  0.250  0.250  1.0
  La  La1  1  0.250  0.250  0.750  1.0
  La  La2  1  0.250  0.750  0.250  1.0
  La  La3  1  0.250  0.750  0.750  1.0
  La  La4  1  0.750  0.250  0.250  1.0
  La  La5  1  0.750  0.250  0.750  1.0
  La  La6  1  0.750  0.750  0.250  1.0
  La  La7  1  0.750  0.750  0.750  1.0
  Al  Al8  1  0.000  0.000  0.500  1.0
  Al  Al9  1  0.000  0.500  0.000  1.0
  Al  Al10  1  0.000  0.500  0.500  1.0
  Al  Al11  1  0.500  0.000  0.000  1.0
  Al  Al12  1  0.500  0.000  0.500  1.0
  Al  Al13  1  0.500  0.500  0.000  1.0
  Al  Al14  1  0.500  0.500  0.500  1.0
  Ga  Ga15  1  0.000  0.000  0.000  1.0
  O  O16  1  0.000  0.256  0.000  1.0
  O  O17  1  0.000  0.250  0.500  1.0
  O  O18  1  0.000  0.744  0.000  1.0
  O  O19  1  0.000  0.750  0.500  1.0
  O  O20  1  0.500  0.250  0.000  1.0
  O  O21  1  0.500  0.250  0.500  1.0
  O  O22  1  0.500  0.750  0.000  1.0
  O  O23  1  0.500  0.750  0.500  1.0
  O  O24  1  0.000  0.000  0.256  1.0
  O  O25  1  0.000  0.000  0.744  1.0
  O  O26  1  0.000  0.500  0.250  1.0
  O  O27  1  0.000  0.500  0.750  1.0
  O  O28  1  0.500  0.000  0.250  1.0
  O  O29  1  0.500  0.000  0.750  1.0
  O  O30  1  0.500  0.500  0.250  1.0
  O  O31  1  0.500  0.500  0.750  1.0
  O  O32  1  0.256  0.000  0.000  1.0
  O  O33  1  0.250  0.000  0.500  1.0
  O  O34  1  0.250  0.500  0.000  1.0
  O  O35  1  0.250  0.500  0.500  1.0
  O  O36  1  0.744  0.000  0.000  1.0
  O  O37  1  0.750  0.000  0.500  1.0
  O  O38  1  0.750  0.500  0.000  1.0
  O  O39  1  0.750  0.500  0.500  1.0
[/CIF]
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The structure described by 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. is represented by the CIF card [CIF]
data_La8Al7GaO24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.652
_cell_length_b   7.652
_cell_length_c   7.652
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   448.074
_cell_formula_units_Z   1
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  La  La0  1  0.250  0.250  0.250  1.0
  La  La1  1  0.250  0.250  0.750  1.0
  La  La2  1  0.250  0.750  0.250  1.0
  La  La3  1  0.250  0.750  0.750  1.0
  La  La4  1  0.750  0.250  0.250  1.0
  La  La5  1  0.750  0.250  0.750  1.0
  La  La6  1  0.750  0.750  0.250  1.0
  La  La7  1  0.750  0.750  0.750  1.0
  Al  Al8  1  0.000  0.000  0.500  1.0
  Al  Al9  1  0.000  0.500  0.000  1.0
  Al  Al10  1  0.000  0.500  0.500  1.0
  Al  Al11  1  0.500  0.000  0.000  1.0
  Al  Al12  1  0.500  0.000  0.500  1.0
  Al  Al13  1  0.500  0.500  0.000  1.0
  Al  Al14  1  0.500  0.500  0.500  1.0
  Ga  Ga15  1  0.000  0.000  0.000  1.0
  O  O16  1  0.000  0.256  0.000  1.0
  O  O17  1  0.000  0.250  0.500  1.0
  O  O18  1  0.000  0.744  0.000  1.0
  O  O19  1  0.000  0.750  0.500  1.0
  O  O20  1  0.500  0.250  0.000  1.0
  O  O21  1  0.500  0.250  0.500  1.0
  O  O22  1  0.500  0.750  0.000  1.0
  O  O23  1  0.500  0.750  0.500  1.0
  O  O24  1  0.000  0.000  0.256  1.0
  O  O25  1  0.000  0.000  0.744  1.0
  O  O26  1  0.000  0.500  0.250  1.0
  O  O27  1  0.000  0.500  0.750  1.0
  O  O28  1  0.500  0.000  0.250  1.0
  O  O29  1  0.500  0.000  0.750  1.0
  O  O30  1  0.500  0.500  0.250  1.0
  O  O31  1  0.500  0.500  0.750  1.0
  O  O32  1  0.256  0.000  0.000  1.0
  O  O33  1  0.250  0.000  0.500  1.0
  O  O34  1  0.250  0.500  0.000  1.0
  O  O35  1  0.250  0.500  0.500  1.0
  O  O36  1  0.744  0.000  0.000  1.0
  O  O37  1  0.750  0.000  0.500  1.0
  O  O38  1  0.750  0.500  0.000  1.0
  O  O39  1  0.750  0.500  0.500  1.0
[/CIF]
.