The crystal structure described by Na8Al12SO28 crystallizes in the cubic P-43m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a distorted trigonal non-coplanar geometry to three equivalent O(3) atoms. In the second Na site, Na(2) is bonded to one O(1) and three equivalent O(2) atoms to form NaO4 trigonal pyramids that share  a cornercorner with one S(1)O4 tetrahedra and corners with six equivalent Al(1)O4 tetrahedra. Al(1) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form AlO4 tetrahedra that share corners with four equivalent Al(1)O4 tetrahedra and corners with two equivalent Na(2)O4 trigonal pyramids. S(1) is bonded to four equivalent O(1) atoms to form SO4 tetrahedra that share corners with four equivalent Na(2)O4 trigonal pyramids. There are three inequivalent O sites. In the first O site, O(3) is bonded in a distorted bent 150 degrees geometry to one Na(1) and two equivalent Al(1) atoms. In the second O site, O(1) is bonded in a linear geometry to one Na(2) and one S(1) atom. In the third O site, O(2) is bonded in a 3-coordinate geometry to one Na(2) and two equivalent Al(1) atoms. is represented by the CIF card [CIF]
data_Na8Al12SO28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.488
_cell_length_b   9.488
_cell_length_c   9.488
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   854.056
_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
  Na  Na0  1  0.797  0.797  0.797  1.0
  Na  Na1  1  0.203  0.203  0.797  1.0
  Na  Na2  1  0.203  0.797  0.203  1.0
  Na  Na3  1  0.797  0.203  0.203  1.0
  Na  Na4  1  0.233  0.233  0.233  1.0
  Na  Na5  1  0.767  0.767  0.233  1.0
  Na  Na6  1  0.767  0.233  0.767  1.0
  Na  Na7  1  0.233  0.767  0.767  1.0
  Al  Al8  1  0.251  0.500  0.000  1.0
  Al  Al9  1  0.749  0.500  0.000  1.0
  Al  Al10  1  0.000  0.251  0.500  1.0
  Al  Al11  1  0.500  0.251  0.000  1.0
  Al  Al12  1  0.000  0.749  0.500  1.0
  Al  Al13  1  0.500  0.749  0.000  1.0
  Al  Al14  1  0.500  0.000  0.251  1.0
  Al  Al15  1  0.251  0.000  0.500  1.0
  Al  Al16  1  0.500  0.000  0.749  1.0
  Al  Al17  1  0.749  0.000  0.500  1.0
  Al  Al18  1  0.000  0.500  0.251  1.0
  Al  Al19  1  0.000  0.500  0.749  1.0
  S  S20  1  0.000  0.000  0.000  1.0
  O  O21  1  0.091  0.091  0.091  1.0
  O  O22  1  0.909  0.909  0.091  1.0
  O  O23  1  0.909  0.091  0.909  1.0
  O  O24  1  0.091  0.909  0.909  1.0
  O  O25  1  0.349  0.349  0.041  1.0
  O  O26  1  0.651  0.651  0.041  1.0
  O  O27  1  0.651  0.349  0.959  1.0
  O  O28  1  0.041  0.349  0.349  1.0
  O  O29  1  0.349  0.651  0.959  1.0
  O  O30  1  0.041  0.651  0.651  1.0
  O  O31  1  0.959  0.651  0.349  1.0
  O  O32  1  0.959  0.349  0.651  1.0
  O  O33  1  0.349  0.041  0.349  1.0
  O  O34  1  0.349  0.959  0.651  1.0
  O  O35  1  0.651  0.959  0.349  1.0
  O  O36  1  0.651  0.041  0.651  1.0
  O  O37  1  0.146  0.146  0.543  1.0
  O  O38  1  0.854  0.854  0.543  1.0
  O  O39  1  0.854  0.146  0.457  1.0
  O  O40  1  0.543  0.146  0.146  1.0
  O  O41  1  0.146  0.854  0.457  1.0
  O  O42  1  0.543  0.854  0.854  1.0
  O  O43  1  0.457  0.854  0.146  1.0
  O  O44  1  0.457  0.146  0.854  1.0
  O  O45  1  0.146  0.543  0.146  1.0
  O  O46  1  0.146  0.457  0.854  1.0
  O  O47  1  0.854  0.457  0.146  1.0
  O  O48  1  0.854  0.543  0.854  1.0
[/CIF]
.
The crystal structure described by Na8Al12SO28 crystallizes in the cubic P-43m space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a distorted trigonal non-coplanar geometry to three equivalent O(3) atoms. In the second Na site, Na(2) is bonded to one O(1) and three equivalent O(2) atoms to form NaO4 trigonal pyramids that share  a cornercorner with one S(1)O4 tetrahedra and corners with six equivalent Al(1)O4 tetrahedra. Al(1) is bonded to two equivalent O(2) and two equivalent O(3) atoms to form AlO4 tetrahedra that share corners with four equivalent Al(1)O4 tetrahedra and corners with two equivalent Na(2)O4 trigonal pyramids. S(1) is bonded to four equivalent O(1) atoms to form SO4 tetrahedra that share corners with four equivalent Na(2)O4 trigonal pyramids. There are three inequivalent O sites. In the first O site, O(3) is bonded in a distorted bent 150 degrees geometry to one Na(1) and two equivalent Al(1) atoms. In the second O site, O(1) is bonded in a linear geometry to one Na(2) and one S(1) atom. In the third O site, O(2) is bonded in a 3-coordinate geometry to one Na(2) and two equivalent Al(1) atoms. is represented by the CIF card [CIF]
data_Na8Al12SO28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.488
_cell_length_b   9.488
_cell_length_c   9.488
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   854.056
_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
  Na  Na0  1  0.797  0.797  0.797  1.0
  Na  Na1  1  0.203  0.203  0.797  1.0
  Na  Na2  1  0.203  0.797  0.203  1.0
  Na  Na3  1  0.797  0.203  0.203  1.0
  Na  Na4  1  0.233  0.233  0.233  1.0
  Na  Na5  1  0.767  0.767  0.233  1.0
  Na  Na6  1  0.767  0.233  0.767  1.0
  Na  Na7  1  0.233  0.767  0.767  1.0
  Al  Al8  1  0.251  0.500  0.000  1.0
  Al  Al9  1  0.749  0.500  0.000  1.0
  Al  Al10  1  0.000  0.251  0.500  1.0
  Al  Al11  1  0.500  0.251  0.000  1.0
  Al  Al12  1  0.000  0.749  0.500  1.0
  Al  Al13  1  0.500  0.749  0.000  1.0
  Al  Al14  1  0.500  0.000  0.251  1.0
  Al  Al15  1  0.251  0.000  0.500  1.0
  Al  Al16  1  0.500  0.000  0.749  1.0
  Al  Al17  1  0.749  0.000  0.500  1.0
  Al  Al18  1  0.000  0.500  0.251  1.0
  Al  Al19  1  0.000  0.500  0.749  1.0
  S  S20  1  0.000  0.000  0.000  1.0
  O  O21  1  0.091  0.091  0.091  1.0
  O  O22  1  0.909  0.909  0.091  1.0
  O  O23  1  0.909  0.091  0.909  1.0
  O  O24  1  0.091  0.909  0.909  1.0
  O  O25  1  0.349  0.349  0.041  1.0
  O  O26  1  0.651  0.651  0.041  1.0
  O  O27  1  0.651  0.349  0.959  1.0
  O  O28  1  0.041  0.349  0.349  1.0
  O  O29  1  0.349  0.651  0.959  1.0
  O  O30  1  0.041  0.651  0.651  1.0
  O  O31  1  0.959  0.651  0.349  1.0
  O  O32  1  0.959  0.349  0.651  1.0
  O  O33  1  0.349  0.041  0.349  1.0
  O  O34  1  0.349  0.959  0.651  1.0
  O  O35  1  0.651  0.959  0.349  1.0
  O  O36  1  0.651  0.041  0.651  1.0
  O  O37  1  0.146  0.146  0.543  1.0
  O  O38  1  0.854  0.854  0.543  1.0
  O  O39  1  0.854  0.146  0.457  1.0
  O  O40  1  0.543  0.146  0.146  1.0
  O  O41  1  0.146  0.854  0.457  1.0
  O  O42  1  0.543  0.854  0.854  1.0
  O  O43  1  0.457  0.854  0.146  1.0
  O  O44  1  0.457  0.146  0.854  1.0
  O  O45  1  0.146  0.543  0.146  1.0
  O  O46  1  0.146  0.457  0.854  1.0
  O  O47  1  0.854  0.457  0.146  1.0
  O  O48  1  0.854  0.543  0.854  1.0
[/CIF]
.