The structure described by Ba2Fe3AlO8 crystallizes in the tetragonal P4/mmm space group. Ba(1) is bonded in a 8-coordinate geometry to four equivalent O(2) and four equivalent O(3) atoms. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3) and four equivalent O(1) atoms to form distorted FeO5 trigonal bipyramids that share  a cornercorner with one Fe(2)O6 octahedra and corners with four equivalent Fe(1)O5 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the second Fe site, Fe(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form FeO6 octahedra that share corners with four equivalent Fe(2)O6 octahedra and corners with two equivalent Fe(1)O5 trigonal bipyramids. The corner-sharing octahedra are not tilted. Al(1) is bonded in a body-centered cubic geometry to eight equivalent O(1) atoms. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Fe(1) and two equivalent Al(1) atoms. In the second O site, O(2) is bonded in a distorted linear geometry to four equivalent Ba(1) and two equivalent Fe(2) atoms. In the third O site, O(3) is bonded to four equivalent Ba(1), one Fe(1), and one Fe(2) atom to form a mixture of distorted edge and corner-sharing OBa4Fe2 octahedra. The corner-sharing octahedral tilt angles range from 0-14°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba2AlFe3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.803
_cell_length_b   3.803
_cell_length_c   12.039
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   174.156
_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
  Ba  Ba0  1  0.500  0.500  0.170  1.0
  Ba  Ba1  1  0.500  0.500  0.830  1.0
  Al  Al2  1  0.500  0.500  0.500  1.0
  Fe  Fe3  1  0.000  0.000  0.352  1.0
  Fe  Fe4  1  0.000  0.000  0.000  1.0
  Fe  Fe5  1  0.000  0.000  0.648  1.0
  O  O6  1  0.000  0.500  0.399  1.0
  O  O7  1  0.500  0.000  0.399  1.0
  O  O8  1  0.500  0.000  0.000  1.0
  O  O9  1  0.000  0.000  0.198  1.0
  O  O10  1  0.000  0.500  0.601  1.0
  O  O11  1  0.500  0.000  0.601  1.0
  O  O12  1  0.000  0.000  0.802  1.0
  O  O13  1  0.000  0.500  0.000  1.0
[/CIF]
.
The structure described by Ba2Fe3AlO8 crystallizes in the tetragonal P4/mmm space group. Ba(1) is bonded in a 8-coordinate geometry to four equivalent O(2) and four equivalent O(3) atoms. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(3) and four equivalent O(1) atoms to form distorted FeO5 trigonal bipyramids that share  a cornercorner with one Fe(2)O6 octahedra and corners with four equivalent Fe(1)O5 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the second Fe site, Fe(2) is bonded to two equivalent O(3) and four equivalent O(2) atoms to form FeO6 octahedra that share corners with four equivalent Fe(2)O6 octahedra and corners with two equivalent Fe(1)O5 trigonal bipyramids. The corner-sharing octahedra are not tilted. Al(1) is bonded in a body-centered cubic geometry to eight equivalent O(1) atoms. There are three inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to two equivalent Fe(1) and two equivalent Al(1) atoms. In the second O site, O(2) is bonded in a distorted linear geometry to four equivalent Ba(1) and two equivalent Fe(2) atoms. In the third O site, O(3) is bonded to four equivalent Ba(1), one Fe(1), and one Fe(2) atom to form a mixture of distorted edge and corner-sharing OBa4Fe2 octahedra. The corner-sharing octahedral tilt angles range from 0-14°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba2AlFe3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.803
_cell_length_b   3.803
_cell_length_c   12.039
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   174.156
_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
  Ba  Ba0  1  0.500  0.500  0.170  1.0
  Ba  Ba1  1  0.500  0.500  0.830  1.0
  Al  Al2  1  0.500  0.500  0.500  1.0
  Fe  Fe3  1  0.000  0.000  0.352  1.0
  Fe  Fe4  1  0.000  0.000  0.000  1.0
  Fe  Fe5  1  0.000  0.000  0.648  1.0
  O  O6  1  0.000  0.500  0.399  1.0
  O  O7  1  0.500  0.000  0.399  1.0
  O  O8  1  0.500  0.000  0.000  1.0
  O  O9  1  0.000  0.000  0.198  1.0
  O  O10  1  0.000  0.500  0.601  1.0
  O  O11  1  0.500  0.000  0.601  1.0
  O  O12  1  0.000  0.000  0.802  1.0
  O  O13  1  0.000  0.500  0.000  1.0
[/CIF]
.