The crystal structure described by Na14Mn2O9 crystallizes in the trigonal P3 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3) and three equivalent O(5) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, corners with three equivalent Mn(1)O4 tetrahedra, edges with three equivalent Na(4)O4 tetrahedra, and edges with three equivalent Na(5)O4 tetrahedra. In the second Na site, Na(2) is bonded to one O(3) and three equivalent O(4) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, corners with three equivalent Mn(2)O4 tetrahedra, edges with three equivalent Na(3)O4 tetrahedra, and edges with three equivalent Na(6)O4 tetrahedra. In the third Na site, Na(3) is bonded to one O(5) and three equivalent O(4) atoms to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, corners with six equivalent Na(3)O4 tetrahedra,  an edgeedge with one Na(2)O4 tetrahedra,  an edgeedge with one Mn(2)O4 tetrahedra, and edges with three equivalent Na(4)O4 tetrahedra. In the fourth Na site, Na(4) is bonded to one O(4) and three equivalent O(5) atoms to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, corners with six equivalent Na(4)O4 tetrahedra,  an edgeedge with one Na(1)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and edges with three equivalent Na(3)O4 tetrahedra. In the fifth Na site, Na(5) is bonded to one O(1), one O(2), one O(3), and one O(5) atom to form NaO4 tetrahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(3)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, corners with six equivalent Na(5)O4 tetrahedra,  an edgeedge with one Na(1)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and edges with three equivalent Na(6)O4 tetrahedra. In the sixth Na site, Na(6) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, corners with six equivalent Na(6)O4 tetrahedra,  an edgeedge with one Na(2)O4 tetrahedra,  an edgeedge with one Mn(2)O4 tetrahedra, and edges with three equivalent Na(5)O4 tetrahedra. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1) and three equivalent O(5) atoms to form MnO4 tetrahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, edges with three equivalent Na(4)O4 tetrahedra, and edges with three equivalent Na(5)O4 tetrahedra. In the second Mn site, Mn(2) is bonded to one O(2) and three equivalent O(4) atoms to form MnO4 tetrahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, edges with three equivalent Na(3)O4 tetrahedra, and edges with three equivalent Na(6)O4 tetrahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to three equivalent Na(5), three equivalent Na(6), and one Mn(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to three equivalent Na(5), three equivalent Na(6), and one Mn(2) atom. In the third O site, O(3) is bonded in a body-centered cubic geometry to one Na(1), one Na(2), three equivalent Na(5), and three equivalent Na(6) atoms. In the fourth O site, O(4) is bonded to one Na(2), one Na(4), one Na(6), three equivalent Na(3), and one Mn(2) atom to form a mixture of distorted edge and corner-sharing ONa6Mn pentagonal bipyramids. In the fifth O site, O(5) is bonded to one Na(1), one Na(3), one Na(5), three equivalent Na(4), and one Mn(1) atom to form a mixture of distorted edge and corner-sharing ONa6Mn pentagonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na14Mn2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.601
_cell_length_b   6.601
_cell_length_c   9.249
_cell_angle_alpha   89.999
_cell_angle_beta   89.999
_cell_angle_gamma   120.004
_symmetry_Int_Tables_number   1
_cell_volume   349.031
_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  1.000  1.000  0.252  1.0
  Na  Na1  1  0.000  1.000  0.747  1.0
  Na  Na2  1  0.066  0.376  0.592  1.0
  Na  Na3  1  0.624  0.690  0.592  1.0
  Na  Na4  1  0.310  0.934  0.592  1.0
  Na  Na5  1  0.933  0.624  0.410  1.0
  Na  Na6  1  0.376  0.309  0.410  1.0
  Na  Na7  1  0.691  0.067  0.410  1.0
  Na  Na8  1  0.679  0.640  0.091  1.0
  Na  Na9  1  0.360  0.039  0.091  1.0
  Na  Na10  1  0.961  0.321  0.091  1.0
  Na  Na11  1  0.321  0.360  0.908  1.0
  Na  Na12  1  0.640  0.960  0.908  1.0
  Na  Na13  1  0.040  0.679  0.908  1.0
  Mn  Mn14  1  0.333  0.667  0.263  1.0
  Mn  Mn15  1  0.667  0.333  0.738  1.0
  O  O16  1  0.333  0.667  0.039  1.0
  O  O17  1  0.667  0.333  0.960  1.0
  O  O18  1  0.000  0.000  0.999  1.0
  O  O19  1  0.947  0.642  0.663  1.0
  O  O20  1  0.358  0.304  0.663  1.0
  O  O21  1  0.696  0.053  0.663  1.0
  O  O22  1  0.053  0.358  0.338  1.0
  O  O23  1  0.642  0.695  0.338  1.0
  O  O24  1  0.305  0.947  0.338  1.0
[/CIF]
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The crystal structure described by Na14Mn2O9 crystallizes in the trigonal P3 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3) and three equivalent O(5) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, corners with three equivalent Mn(1)O4 tetrahedra, edges with three equivalent Na(4)O4 tetrahedra, and edges with three equivalent Na(5)O4 tetrahedra. In the second Na site, Na(2) is bonded to one O(3) and three equivalent O(4) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, corners with three equivalent Mn(2)O4 tetrahedra, edges with three equivalent Na(3)O4 tetrahedra, and edges with three equivalent Na(6)O4 tetrahedra. In the third Na site, Na(3) is bonded to one O(5) and three equivalent O(4) atoms to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, corners with six equivalent Na(3)O4 tetrahedra,  an edgeedge with one Na(2)O4 tetrahedra,  an edgeedge with one Mn(2)O4 tetrahedra, and edges with three equivalent Na(4)O4 tetrahedra. In the fourth Na site, Na(4) is bonded to one O(4) and three equivalent O(5) atoms to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, corners with six equivalent Na(4)O4 tetrahedra,  an edgeedge with one Na(1)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and edges with three equivalent Na(3)O4 tetrahedra. In the fifth Na site, Na(5) is bonded to one O(1), one O(2), one O(3), and one O(5) atom to form NaO4 tetrahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(3)O4 tetrahedra,  a cornercorner with one Mn(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, corners with six equivalent Na(5)O4 tetrahedra,  an edgeedge with one Na(1)O4 tetrahedra,  an edgeedge with one Mn(1)O4 tetrahedra, and edges with three equivalent Na(6)O4 tetrahedra. In the sixth Na site, Na(6) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form distorted NaO4 tetrahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(4)O4 tetrahedra,  a cornercorner with one Mn(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, corners with six equivalent Na(6)O4 tetrahedra,  an edgeedge with one Na(2)O4 tetrahedra,  an edgeedge with one Mn(2)O4 tetrahedra, and edges with three equivalent Na(5)O4 tetrahedra. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1) and three equivalent O(5) atoms to form MnO4 tetrahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra, edges with three equivalent Na(4)O4 tetrahedra, and edges with three equivalent Na(5)O4 tetrahedra. In the second Mn site, Mn(2) is bonded to one O(2) and three equivalent O(4) atoms to form MnO4 tetrahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra, corners with three equivalent Na(5)O4 tetrahedra, edges with three equivalent Na(3)O4 tetrahedra, and edges with three equivalent Na(6)O4 tetrahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to three equivalent Na(5), three equivalent Na(6), and one Mn(1) atom. In the second O site, O(2) is bonded in a 7-coordinate geometry to three equivalent Na(5), three equivalent Na(6), and one Mn(2) atom. In the third O site, O(3) is bonded in a body-centered cubic geometry to one Na(1), one Na(2), three equivalent Na(5), and three equivalent Na(6) atoms. In the fourth O site, O(4) is bonded to one Na(2), one Na(4), one Na(6), three equivalent Na(3), and one Mn(2) atom to form a mixture of distorted edge and corner-sharing ONa6Mn pentagonal bipyramids. In the fifth O site, O(5) is bonded to one Na(1), one Na(3), one Na(5), three equivalent Na(4), and one Mn(1) atom to form a mixture of distorted edge and corner-sharing ONa6Mn pentagonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na14Mn2O9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.601
_cell_length_b   6.601
_cell_length_c   9.249
_cell_angle_alpha   89.999
_cell_angle_beta   89.999
_cell_angle_gamma   120.004
_symmetry_Int_Tables_number   1
_cell_volume   349.031
_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  1.000  1.000  0.252  1.0
  Na  Na1  1  0.000  1.000  0.747  1.0
  Na  Na2  1  0.066  0.376  0.592  1.0
  Na  Na3  1  0.624  0.690  0.592  1.0
  Na  Na4  1  0.310  0.934  0.592  1.0
  Na  Na5  1  0.933  0.624  0.410  1.0
  Na  Na6  1  0.376  0.309  0.410  1.0
  Na  Na7  1  0.691  0.067  0.410  1.0
  Na  Na8  1  0.679  0.640  0.091  1.0
  Na  Na9  1  0.360  0.039  0.091  1.0
  Na  Na10  1  0.961  0.321  0.091  1.0
  Na  Na11  1  0.321  0.360  0.908  1.0
  Na  Na12  1  0.640  0.960  0.908  1.0
  Na  Na13  1  0.040  0.679  0.908  1.0
  Mn  Mn14  1  0.333  0.667  0.263  1.0
  Mn  Mn15  1  0.667  0.333  0.738  1.0
  O  O16  1  0.333  0.667  0.039  1.0
  O  O17  1  0.667  0.333  0.960  1.0
  O  O18  1  0.000  0.000  0.999  1.0
  O  O19  1  0.947  0.642  0.663  1.0
  O  O20  1  0.358  0.304  0.663  1.0
  O  O21  1  0.696  0.053  0.663  1.0
  O  O22  1  0.053  0.358  0.338  1.0
  O  O23  1  0.642  0.695  0.338  1.0
  O  O24  1  0.305  0.947  0.338  1.0
[/CIF]
.