The structure described by Na6MnO4 crystallizes in the tetragonal P4_2/nmc space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to four equivalent O(1) atoms to form NaO4 tetrahedra that share corners with four equivalent Mn(1)O4 tetrahedra, corners with eight equivalent Na(2)O4 tetrahedra, edges with two equivalent Na(1)O4 tetrahedra, and edges with four equivalent Na(2)O4 tetrahedra. In the second Na site, Na(2) is bonded to four equivalent O(1) atoms to form distorted NaO4 tetrahedra that share corners with two equivalent Mn(1)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, corners with eight equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, edges with two equivalent Na(1)O4 tetrahedra, and edges with two equivalent Na(2)O4 tetrahedra. Mn(1) is bonded to four equivalent O(1) atoms to form MnO4 tetrahedra that share corners with eight equivalent Na(1)O4 tetrahedra, corners with eight equivalent Na(2)O4 tetrahedra, and edges with four equivalent Na(2)O4 tetrahedra. O(1) is bonded to two equivalent Na(1), four equivalent Na(2), and one Mn(1) atom to form a mixture of distorted edge and corner-sharing ONa6Mn pentagonal bipyramids. is represented by the CIF file [CIF]
data_Na6MnO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.520
_cell_length_b   7.590
_cell_length_c   7.590
_cell_angle_alpha   89.999
_cell_angle_beta   90.000
_cell_angle_gamma   90.001
_symmetry_Int_Tables_number   1
_cell_volume   317.991
_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
  Mn  Mn0  1  0.250  0.750  0.750  1.0
  Mn  Mn1  1  0.750  0.250  0.250  1.0
  Na  Na2  1  0.667  0.250  0.750  1.0
  Na  Na3  1  0.167  0.250  0.750  1.0
  Na  Na4  1  0.333  0.750  0.250  1.0
  Na  Na5  1  0.833  0.750  0.250  1.0
  Na  Na6  1  0.750  0.537  0.963  1.0
  Na  Na7  1  0.750  0.963  0.963  1.0
  Na  Na8  1  0.750  0.537  0.537  1.0
  Na  Na9  1  0.750  0.963  0.537  1.0
  Na  Na10  1  0.250  0.037  0.463  1.0
  Na  Na11  1  0.250  0.463  0.463  1.0
  Na  Na12  1  0.250  0.037  0.037  1.0
  Na  Na13  1  0.250  0.463  0.037  1.0
  O  O14  1  0.936  0.250  0.002  1.0
  O  O15  1  0.436  0.998  0.750  1.0
  O  O16  1  0.436  0.502  0.750  1.0
  O  O17  1  0.936  0.250  0.498  1.0
  O  O18  1  0.064  0.750  0.502  1.0
  O  O19  1  0.564  0.002  0.250  1.0
  O  O20  1  0.564  0.498  0.250  1.0
  O  O21  1  0.064  0.750  0.998  1.0
[/CIF]
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The structure described by Na6MnO4 crystallizes in the tetragonal P4_2/nmc space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to four equivalent O(1) atoms to form NaO4 tetrahedra that share corners with four equivalent Mn(1)O4 tetrahedra, corners with eight equivalent Na(2)O4 tetrahedra, edges with two equivalent Na(1)O4 tetrahedra, and edges with four equivalent Na(2)O4 tetrahedra. In the second Na site, Na(2) is bonded to four equivalent O(1) atoms to form distorted NaO4 tetrahedra that share corners with two equivalent Mn(1)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, corners with eight equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, edges with two equivalent Na(1)O4 tetrahedra, and edges with two equivalent Na(2)O4 tetrahedra. Mn(1) is bonded to four equivalent O(1) atoms to form MnO4 tetrahedra that share corners with eight equivalent Na(1)O4 tetrahedra, corners with eight equivalent Na(2)O4 tetrahedra, and edges with four equivalent Na(2)O4 tetrahedra. O(1) is bonded to two equivalent Na(1), four equivalent Na(2), and one Mn(1) atom to form a mixture of distorted edge and corner-sharing ONa6Mn pentagonal bipyramids. is represented by the CIF file [CIF]
data_Na6MnO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.520
_cell_length_b   7.590
_cell_length_c   7.590
_cell_angle_alpha   89.999
_cell_angle_beta   90.000
_cell_angle_gamma   90.001
_symmetry_Int_Tables_number   1
_cell_volume   317.991
_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
  Mn  Mn0  1  0.250  0.750  0.750  1.0
  Mn  Mn1  1  0.750  0.250  0.250  1.0
  Na  Na2  1  0.667  0.250  0.750  1.0
  Na  Na3  1  0.167  0.250  0.750  1.0
  Na  Na4  1  0.333  0.750  0.250  1.0
  Na  Na5  1  0.833  0.750  0.250  1.0
  Na  Na6  1  0.750  0.537  0.963  1.0
  Na  Na7  1  0.750  0.963  0.963  1.0
  Na  Na8  1  0.750  0.537  0.537  1.0
  Na  Na9  1  0.750  0.963  0.537  1.0
  Na  Na10  1  0.250  0.037  0.463  1.0
  Na  Na11  1  0.250  0.463  0.463  1.0
  Na  Na12  1  0.250  0.037  0.037  1.0
  Na  Na13  1  0.250  0.463  0.037  1.0
  O  O14  1  0.936  0.250  0.002  1.0
  O  O15  1  0.436  0.998  0.750  1.0
  O  O16  1  0.436  0.502  0.750  1.0
  O  O17  1  0.936  0.250  0.498  1.0
  O  O18  1  0.064  0.750  0.502  1.0
  O  O19  1  0.564  0.002  0.250  1.0
  O  O20  1  0.564  0.498  0.250  1.0
  O  O21  1  0.064  0.750  0.998  1.0
[/CIF]
.