The structure described by NaMn3O6 crystallizes in the monoclinic C2/c space group. Na(1) is bonded in a 4-coordinate geometry to one O(1), one O(3), one O(4), one O(5), and one O(6) atom. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4), two equivalent O(1), and two equivalent O(2) atoms to form distorted MnO5 square pyramids that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 47-51°. In the second Mn site, Mn(2) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent Mn(1)O5 square pyramids,  an edgeedge with one Mn(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(2), one O(3), one O(4), one O(6), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with three equivalent Mn(1)O5 square pyramids,  an edgeedge with one Mn(3)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Mn(2), and two equivalent Mn(1) atoms to form a mixture of corner and edge-sharing ONaMn3 trigonal pyramids. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Mn(3) and two equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Na(1), one Mn(2), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Na(1), one Mn(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Na(1), one Mn(2), and two equivalent Mn(3) atoms. In the sixth O site, O(6) is bonded to one Na(1), one Mn(3), and two equivalent Mn(2) atoms to form a mixture of corner and edge-sharing ONaMn3 trigonal pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMn3O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.177
_cell_length_b   6.177
_cell_length_c   14.529
_cell_angle_alpha   84.270
_cell_angle_beta   84.270
_cell_angle_gamma   55.782
_symmetry_Int_Tables_number   1
_cell_volume   455.476
_cell_formula_units_Z   4
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  0.798  0.736  0.940  1.0
  Na  Na1  1  0.736  0.798  0.440  1.0
  Na  Na2  1  0.264  0.202  0.560  1.0
  Na  Na3  1  0.202  0.264  0.060  1.0
  Mn  Mn4  1  0.393  0.142  0.265  1.0
  Mn  Mn5  1  0.858  0.607  0.235  1.0
  Mn  Mn6  1  0.638  0.385  0.908  1.0
  Mn  Mn7  1  0.146  0.896  0.907  1.0
  Mn  Mn8  1  0.615  0.362  0.592  1.0
  Mn  Mn9  1  0.104  0.854  0.593  1.0
  Mn  Mn10  1  0.607  0.858  0.735  1.0
  Mn  Mn11  1  0.142  0.393  0.765  1.0
  Mn  Mn12  1  0.385  0.638  0.408  1.0
  Mn  Mn13  1  0.896  0.146  0.407  1.0
  Mn  Mn14  1  0.362  0.615  0.092  1.0
  Mn  Mn15  1  0.854  0.104  0.093  1.0
  O  O16  1  0.464  0.213  0.684  1.0
  O  O17  1  0.969  0.703  0.684  1.0
  O  O18  1  0.787  0.536  0.816  1.0
  O  O19  1  0.297  0.031  0.816  1.0
  O  O20  1  0.703  0.969  0.184  1.0
  O  O21  1  0.213  0.464  0.184  1.0
  O  O22  1  0.536  0.787  0.316  1.0
  O  O23  1  0.031  0.297  0.316  1.0
  O  O24  1  0.947  0.186  0.643  1.0
  O  O25  1  0.448  0.704  0.641  1.0
  O  O26  1  0.814  0.053  0.857  1.0
  O  O27  1  0.296  0.552  0.859  1.0
  O  O28  1  0.704  0.448  0.141  1.0
  O  O29  1  0.186  0.947  0.143  1.0
  O  O30  1  0.552  0.296  0.359  1.0
  O  O31  1  0.053  0.814  0.357  1.0
  O  O32  1  0.780  0.035  0.528  1.0
  O  O33  1  0.284  0.535  0.526  1.0
  O  O34  1  0.965  0.220  0.972  1.0
  O  O35  1  0.465  0.716  0.974  1.0
  O  O36  1  0.535  0.284  0.026  1.0
  O  O37  1  0.035  0.780  0.028  1.0
  O  O38  1  0.716  0.465  0.474  1.0
  O  O39  1  0.220  0.965  0.472  1.0
[/CIF]
.
The structure described by NaMn3O6 crystallizes in the monoclinic C2/c space group. Na(1) is bonded in a 4-coordinate geometry to one O(1), one O(3), one O(4), one O(5), and one O(6) atom. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(4), two equivalent O(1), and two equivalent O(2) atoms to form distorted MnO5 square pyramids that share corners with three equivalent Mn(2)O6 octahedra, corners with three equivalent Mn(3)O6 octahedra, and edges with two equivalent Mn(1)O5 square pyramids. The corner-sharing octahedral tilt angles range from 47-51°. In the second Mn site, Mn(2) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with three equivalent Mn(1)O5 square pyramids,  an edgeedge with one Mn(2)O6 octahedra, and edges with three equivalent Mn(3)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(2), one O(3), one O(4), one O(6), and two equivalent O(5) atoms to form MnO6 octahedra that share corners with three equivalent Mn(1)O5 square pyramids,  an edgeedge with one Mn(3)O6 octahedra, and edges with three equivalent Mn(2)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Mn(2), and two equivalent Mn(1) atoms to form a mixture of corner and edge-sharing ONaMn3 trigonal pyramids. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Mn(3) and two equivalent Mn(1) atoms. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Na(1), one Mn(2), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Na(1), one Mn(1), one Mn(2), and one Mn(3) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Na(1), one Mn(2), and two equivalent Mn(3) atoms. In the sixth O site, O(6) is bonded to one Na(1), one Mn(3), and two equivalent Mn(2) atoms to form a mixture of corner and edge-sharing ONaMn3 trigonal pyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_NaMn3O6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.177
_cell_length_b   6.177
_cell_length_c   14.529
_cell_angle_alpha   84.270
_cell_angle_beta   84.270
_cell_angle_gamma   55.782
_symmetry_Int_Tables_number   1
_cell_volume   455.476
_cell_formula_units_Z   4
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  0.798  0.736  0.940  1.0
  Na  Na1  1  0.736  0.798  0.440  1.0
  Na  Na2  1  0.264  0.202  0.560  1.0
  Na  Na3  1  0.202  0.264  0.060  1.0
  Mn  Mn4  1  0.393  0.142  0.265  1.0
  Mn  Mn5  1  0.858  0.607  0.235  1.0
  Mn  Mn6  1  0.638  0.385  0.908  1.0
  Mn  Mn7  1  0.146  0.896  0.907  1.0
  Mn  Mn8  1  0.615  0.362  0.592  1.0
  Mn  Mn9  1  0.104  0.854  0.593  1.0
  Mn  Mn10  1  0.607  0.858  0.735  1.0
  Mn  Mn11  1  0.142  0.393  0.765  1.0
  Mn  Mn12  1  0.385  0.638  0.408  1.0
  Mn  Mn13  1  0.896  0.146  0.407  1.0
  Mn  Mn14  1  0.362  0.615  0.092  1.0
  Mn  Mn15  1  0.854  0.104  0.093  1.0
  O  O16  1  0.464  0.213  0.684  1.0
  O  O17  1  0.969  0.703  0.684  1.0
  O  O18  1  0.787  0.536  0.816  1.0
  O  O19  1  0.297  0.031  0.816  1.0
  O  O20  1  0.703  0.969  0.184  1.0
  O  O21  1  0.213  0.464  0.184  1.0
  O  O22  1  0.536  0.787  0.316  1.0
  O  O23  1  0.031  0.297  0.316  1.0
  O  O24  1  0.947  0.186  0.643  1.0
  O  O25  1  0.448  0.704  0.641  1.0
  O  O26  1  0.814  0.053  0.857  1.0
  O  O27  1  0.296  0.552  0.859  1.0
  O  O28  1  0.704  0.448  0.141  1.0
  O  O29  1  0.186  0.947  0.143  1.0
  O  O30  1  0.552  0.296  0.359  1.0
  O  O31  1  0.053  0.814  0.357  1.0
  O  O32  1  0.780  0.035  0.528  1.0
  O  O33  1  0.284  0.535  0.526  1.0
  O  O34  1  0.965  0.220  0.972  1.0
  O  O35  1  0.465  0.716  0.974  1.0
  O  O36  1  0.535  0.284  0.026  1.0
  O  O37  1  0.035  0.780  0.028  1.0
  O  O38  1  0.716  0.465  0.474  1.0
  O  O39  1  0.220  0.965  0.472  1.0
[/CIF]
.