The structure described by Al4(FeO4)3 crystallizes in the monoclinic Cm space group. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(10), one O(13), one O(16), one O(4), and one O(7) atom to form FeO6 octahedra that share  a cornercorner with one Al(2)O4 tetrahedra,  a cornercorner with one Al(8)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(7)O4 tetrahedra,  an edgeedge with one Al(4)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. In the second Fe site, Fe(2) is bonded to one O(11), one O(14), one O(17), one O(2), one O(5), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Al(3)O4 tetrahedra,  a cornercorner with one Al(7)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra,  an edgeedge with one Al(5)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Al(6)O6 octahedra. In the third Fe site, Fe(3) is bonded to one O(12), one O(15), one O(18), one O(3), one O(6), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Al(1)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra, corners with two equivalent Al(8)O4 tetrahedra,  an edgeedge with one Al(4)O6 octahedra,  an edgeedge with one Al(5)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. There are eight inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(6), and two equivalent O(7) atoms to form AlO4 tetrahedra that share corners with two equivalent Fe(3)O6 octahedra, corners with three equivalent Al(4)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-60°. In the second Al site, Al(2) is bonded to one O(2), one O(4), and two equivalent O(8) atoms to form AlO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Al(6)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-59°. In the third Al site, Al(3) is bonded to one O(3), one O(5), and two equivalent O(9) atoms to form AlO4 tetrahedra that share  a cornercorner with one Al(6)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Al(5)O6 octahedra, and corners with four equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-60°. In the fourth Al site, Al(4) is bonded to one O(1), one O(18), two equivalent O(12), and two equivalent O(7) atoms to form AlO6 octahedra that share corners with three equivalent Al(1)O4 tetrahedra, corners with three equivalent Al(8)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the fifth Al site, Al(5) is bonded to one O(17), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form AlO6 octahedra that share corners with three equivalent Al(3)O4 tetrahedra,  an edgeedge with one Al(6)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the sixth Al site, Al(6) is bonded to one O(14), one O(5), two equivalent O(11), and two equivalent O(8) atoms to form AlO6 octahedra that share  a cornercorner with one Al(3)O4 tetrahedra,  a cornercorner with one Al(7)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra,  an edgeedge with one Al(5)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. In the seventh Al site, Al(7) is bonded to one O(14), one O(16), and two equivalent O(10) atoms to form AlO4 tetrahedra that share  a cornercorner with one Al(6)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. In the eighth Al site, Al(8) is bonded to one O(13), one O(18), and two equivalent O(12) atoms to form AlO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Al(4)O6 octahedra, and corners with four equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(1), one Al(1), and one Al(4) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to two equivalent Fe(2) and one Al(2) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(3), one Al(3), and one Al(5) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to two equivalent Fe(1) and one Al(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(2), one Al(3), and one Al(6) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to two equivalent Fe(3) and one Al(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Fe(1), one Al(1), and one Al(4) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Fe(2), one Al(2), and one Al(6) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Fe(3), one Al(3), and one Al(5) atom. In the tenth O site, O(10) is bonded in a bent 120 degrees geometry to one Fe(1) and one Al(7) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Al(5), and one Al(6) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Fe(3), one Al(4), and one Al(8) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to two equivalent Fe(1) and one Al(8) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(2), one Al(6), and one Al(7) atom. In the fifteenth O site, O(15) is bonded in a water-like geometry to two equivalent Fe(3) atoms. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to two equivalent Fe(1) and one Al(7) atom. In the seventeenth O site, O(17) is bonded in a distorted T-shaped geometry to two equivalent Fe(2) and one Al(5) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(3), one Al(4), and one Al(8) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Al4(FeO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.694
_cell_length_b   5.694
_cell_length_c   14.099
_cell_angle_alpha   89.081
_cell_angle_beta   89.081
_cell_angle_gamma   62.408
_symmetry_Int_Tables_number   1
_cell_volume   405.078
_cell_formula_units_Z   2
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
  Al  Al0  1  0.847  0.847  0.956  1.0
  Al  Al1  1  0.504  0.504  0.617  1.0
  Al  Al2  1  0.174  0.174  0.296  1.0
  Al  Al3  1  0.501  0.501  0.997  1.0
  Al  Al4  1  0.828  0.828  0.334  1.0
  Al  Al5  1  0.999  0.999  0.506  1.0
  Al  Al6  1  0.826  0.826  0.714  1.0
  Al  Al7  1  0.154  0.154  0.037  1.0
  Fe  Fe8  1  0.842  0.332  0.827  1.0
  Fe  Fe9  1  0.500  0.000  0.502  1.0
  Fe  Fe10  1  0.168  0.664  0.166  1.0
  Fe  Fe11  1  0.332  0.842  0.827  1.0
  Fe  Fe12  1  0.000  0.500  0.502  1.0
  Fe  Fe13  1  0.664  0.168  0.166  1.0
  O  O14  1  0.666  0.666  0.922  1.0
  O  O15  1  0.332  0.332  0.573  1.0
  O  O16  1  0.994  0.994  0.256  1.0
  O  O17  1  0.518  0.518  0.746  1.0
  O  O18  1  0.156  0.156  0.423  1.0
  O  O19  1  0.846  0.846  0.088  1.0
  O  O20  1  0.676  0.192  0.921  1.0
  O  O21  1  0.325  0.835  0.571  1.0
  O  O22  1  0.008  0.517  0.258  1.0
  O  O23  1  0.192  0.676  0.921  1.0
  O  O24  1  0.835  0.325  0.571  1.0
  O  O25  1  0.517  0.008  0.258  1.0
  O  O26  1  0.497  0.990  0.756  1.0
  O  O27  1  0.114  0.692  0.425  1.0
  O  O28  1  0.814  0.326  0.079  1.0
  O  O29  1  0.990  0.497  0.756  1.0
  O  O30  1  0.692  0.114  0.425  1.0
  O  O31  1  0.326  0.814  0.079  1.0
  O  O32  1  0.158  0.158  0.911  1.0
  O  O33  1  0.839  0.839  0.586  1.0
  O  O34  1  0.485  0.485  0.230  1.0
  O  O35  1  0.993  0.993  0.760  1.0
  O  O36  1  0.682  0.682  0.424  1.0
  O  O37  1  0.334  0.334  0.075  1.0
[/CIF]
.
The structure described by Al4(FeO4)3 crystallizes in the monoclinic Cm space group. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(10), one O(13), one O(16), one O(4), and one O(7) atom to form FeO6 octahedra that share  a cornercorner with one Al(2)O4 tetrahedra,  a cornercorner with one Al(8)O4 tetrahedra, corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Al(7)O4 tetrahedra,  an edgeedge with one Al(4)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. In the second Fe site, Fe(2) is bonded to one O(11), one O(14), one O(17), one O(2), one O(5), and one O(8) atom to form FeO6 octahedra that share  a cornercorner with one Al(3)O4 tetrahedra,  a cornercorner with one Al(7)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra,  an edgeedge with one Al(5)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Al(6)O6 octahedra. In the third Fe site, Fe(3) is bonded to one O(12), one O(15), one O(18), one O(3), one O(6), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Al(1)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra, corners with two equivalent Al(8)O4 tetrahedra,  an edgeedge with one Al(4)O6 octahedra,  an edgeedge with one Al(5)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. There are eight inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(6), and two equivalent O(7) atoms to form AlO4 tetrahedra that share corners with two equivalent Fe(3)O6 octahedra, corners with three equivalent Al(4)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-60°. In the second Al site, Al(2) is bonded to one O(2), one O(4), and two equivalent O(8) atoms to form AlO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Al(6)O6 octahedra, and corners with four equivalent Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-59°. In the third Al site, Al(3) is bonded to one O(3), one O(5), and two equivalent O(9) atoms to form AlO4 tetrahedra that share  a cornercorner with one Al(6)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Al(5)O6 octahedra, and corners with four equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-60°. In the fourth Al site, Al(4) is bonded to one O(1), one O(18), two equivalent O(12), and two equivalent O(7) atoms to form AlO6 octahedra that share corners with three equivalent Al(1)O4 tetrahedra, corners with three equivalent Al(8)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the fifth Al site, Al(5) is bonded to one O(17), one O(3), two equivalent O(11), and two equivalent O(9) atoms to form AlO6 octahedra that share corners with three equivalent Al(3)O4 tetrahedra,  an edgeedge with one Al(6)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and edges with two equivalent Fe(3)O6 octahedra. In the sixth Al site, Al(6) is bonded to one O(14), one O(5), two equivalent O(11), and two equivalent O(8) atoms to form AlO6 octahedra that share  a cornercorner with one Al(3)O4 tetrahedra,  a cornercorner with one Al(7)O4 tetrahedra, corners with two equivalent Al(2)O4 tetrahedra,  an edgeedge with one Al(5)O6 octahedra, and edges with four equivalent Fe(2)O6 octahedra. In the seventh Al site, Al(7) is bonded to one O(14), one O(16), and two equivalent O(10) atoms to form AlO4 tetrahedra that share  a cornercorner with one Al(6)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, and corners with four equivalent Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. In the eighth Al site, Al(8) is bonded to one O(13), one O(18), and two equivalent O(12) atoms to form AlO4 tetrahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Al(4)O6 octahedra, and corners with four equivalent Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(1), one Al(1), and one Al(4) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to two equivalent Fe(2) and one Al(2) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(3), one Al(3), and one Al(5) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to two equivalent Fe(1) and one Al(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(2), one Al(3), and one Al(6) atom. In the sixth O site, O(6) is bonded in a trigonal planar geometry to two equivalent Fe(3) and one Al(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Fe(1), one Al(1), and one Al(4) atom. In the eighth O site, O(8) is bonded in a trigonal planar geometry to one Fe(2), one Al(2), and one Al(6) atom. In the ninth O site, O(9) is bonded in a trigonal planar geometry to one Fe(3), one Al(3), and one Al(5) atom. In the tenth O site, O(10) is bonded in a bent 120 degrees geometry to one Fe(1) and one Al(7) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Fe(2), one Al(5), and one Al(6) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Fe(3), one Al(4), and one Al(8) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to two equivalent Fe(1) and one Al(8) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(2), one Al(6), and one Al(7) atom. In the fifteenth O site, O(15) is bonded in a water-like geometry to two equivalent Fe(3) atoms. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to two equivalent Fe(1) and one Al(7) atom. In the seventeenth O site, O(17) is bonded in a distorted T-shaped geometry to two equivalent Fe(2) and one Al(5) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to two equivalent Fe(3), one Al(4), and one Al(8) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Al4(FeO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.694
_cell_length_b   5.694
_cell_length_c   14.099
_cell_angle_alpha   89.081
_cell_angle_beta   89.081
_cell_angle_gamma   62.408
_symmetry_Int_Tables_number   1
_cell_volume   405.078
_cell_formula_units_Z   2
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
  Al  Al0  1  0.847  0.847  0.956  1.0
  Al  Al1  1  0.504  0.504  0.617  1.0
  Al  Al2  1  0.174  0.174  0.296  1.0
  Al  Al3  1  0.501  0.501  0.997  1.0
  Al  Al4  1  0.828  0.828  0.334  1.0
  Al  Al5  1  0.999  0.999  0.506  1.0
  Al  Al6  1  0.826  0.826  0.714  1.0
  Al  Al7  1  0.154  0.154  0.037  1.0
  Fe  Fe8  1  0.842  0.332  0.827  1.0
  Fe  Fe9  1  0.500  0.000  0.502  1.0
  Fe  Fe10  1  0.168  0.664  0.166  1.0
  Fe  Fe11  1  0.332  0.842  0.827  1.0
  Fe  Fe12  1  0.000  0.500  0.502  1.0
  Fe  Fe13  1  0.664  0.168  0.166  1.0
  O  O14  1  0.666  0.666  0.922  1.0
  O  O15  1  0.332  0.332  0.573  1.0
  O  O16  1  0.994  0.994  0.256  1.0
  O  O17  1  0.518  0.518  0.746  1.0
  O  O18  1  0.156  0.156  0.423  1.0
  O  O19  1  0.846  0.846  0.088  1.0
  O  O20  1  0.676  0.192  0.921  1.0
  O  O21  1  0.325  0.835  0.571  1.0
  O  O22  1  0.008  0.517  0.258  1.0
  O  O23  1  0.192  0.676  0.921  1.0
  O  O24  1  0.835  0.325  0.571  1.0
  O  O25  1  0.517  0.008  0.258  1.0
  O  O26  1  0.497  0.990  0.756  1.0
  O  O27  1  0.114  0.692  0.425  1.0
  O  O28  1  0.814  0.326  0.079  1.0
  O  O29  1  0.990  0.497  0.756  1.0
  O  O30  1  0.692  0.114  0.425  1.0
  O  O31  1  0.326  0.814  0.079  1.0
  O  O32  1  0.158  0.158  0.911  1.0
  O  O33  1  0.839  0.839  0.586  1.0
  O  O34  1  0.485  0.485  0.230  1.0
  O  O35  1  0.993  0.993  0.760  1.0
  O  O36  1  0.682  0.682  0.424  1.0
  O  O37  1  0.334  0.334  0.075  1.0
[/CIF]
.