The crystal structure described by NaMn2O4 crystallizes in the monoclinic P2/c space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form edge-sharing MnO6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form edge-sharing MnO6 octahedra. In the third Mn site, Mn(3) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form edge-sharing MnO6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Na(2), one Mn(2), and two equivalent Mn(1) atoms to form ONa2Mn3 trigonal bipyramids that share corners with two equivalent O(2)Na2Mn3 trigonal bipyramids, corners with three equivalent O(1)Na2Mn3 trigonal bipyramids, corners with two equivalent O(3)NaMn3 trigonal pyramids, corners with two equivalent O(4)NaMn3 trigonal pyramids,  an edgeedge with one O(1)Na2Mn3 trigonal bipyramid, edges with three equivalent O(2)Na2Mn3 trigonal bipyramids, edges with two equivalent O(3)NaMn3 trigonal pyramids, and edges with two equivalent O(4)NaMn3 trigonal pyramids. In the second O site, O(2) is bonded to one Na(1), one Na(2), one Mn(3), and two equivalent Mn(1) atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with two equivalent O(1)Na2Mn3 trigonal bipyramids, corners with three equivalent O(2)Na2Mn3 trigonal bipyramids, corners with two equivalent O(3)NaMn3 trigonal pyramids, corners with two equivalent O(4)NaMn3 trigonal pyramids,  an edgeedge with one O(2)Na2Mn3 trigonal bipyramid, edges with three equivalent O(1)Na2Mn3 trigonal bipyramids, edges with two equivalent O(3)NaMn3 trigonal pyramids, and edges with two equivalent O(4)NaMn3 trigonal pyramids. In the third O site, O(3) is bonded to one Na(2), one Mn(1), one Mn(2), and one Mn(3) atom to form distorted ONaMn3 trigonal pyramids that share corners with two equivalent O(1)Na2Mn3 trigonal bipyramids, corners with two equivalent O(2)Na2Mn3 trigonal bipyramids, corners with three equivalent O(3)NaMn3 trigonal pyramids, corners with three equivalent O(4)NaMn3 trigonal pyramids, edges with two equivalent O(1)Na2Mn3 trigonal bipyramids, edges with two equivalent O(2)Na2Mn3 trigonal bipyramids, and  an edgeedge with one O(4)NaMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Na(1), one Mn(1), one Mn(2), and one Mn(3) atom to form distorted ONaMn3 trigonal pyramids that share corners with two equivalent O(1)Na2Mn3 trigonal bipyramids, corners with two equivalent O(2)Na2Mn3 trigonal bipyramids, corners with three equivalent O(3)NaMn3 trigonal pyramids, corners with three equivalent O(4)NaMn3 trigonal pyramids, edges with two equivalent O(1)Na2Mn3 trigonal bipyramids, edges with two equivalent O(2)Na2Mn3 trigonal bipyramids, and  an edgeedge with one O(3)NaMn3 trigonal pyramid. is represented by the CIF card [CIF]
data_NaMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.050
_cell_length_b   6.072
_cell_length_c   12.946
_cell_angle_alpha   62.004
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   350.497
_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  0.991  0.000  0.250  1.0
  Na  Na1  1  0.640  0.500  0.750  1.0
  Na  Na2  1  0.360  0.500  0.250  1.0
  Na  Na3  1  0.009  0.000  0.750  1.0
  Mn  Mn4  1  0.998  0.749  0.006  1.0
  Mn  Mn5  1  0.002  0.251  0.994  1.0
  Mn  Mn6  1  0.998  0.251  0.494  1.0
  Mn  Mn7  1  0.002  0.749  0.506  1.0
  Mn  Mn8  1  0.500  0.000  0.000  1.0
  Mn  Mn9  1  0.500  0.500  0.000  1.0
  Mn  Mn10  1  0.500  0.000  0.500  1.0
  Mn  Mn11  1  0.500  0.500  0.500  1.0
  O  O12  1  0.822  0.914  0.594  1.0
  O  O13  1  0.826  0.595  0.910  1.0
  O  O14  1  0.826  0.405  0.590  1.0
  O  O15  1  0.822  0.086  0.906  1.0
  O  O16  1  0.665  0.674  0.089  1.0
  O  O17  1  0.665  0.326  0.411  1.0
  O  O18  1  0.686  0.146  0.086  1.0
  O  O19  1  0.686  0.854  0.414  1.0
  O  O20  1  0.314  0.146  0.586  1.0
  O  O21  1  0.314  0.854  0.914  1.0
  O  O22  1  0.335  0.674  0.589  1.0
  O  O23  1  0.335  0.326  0.911  1.0
  O  O24  1  0.178  0.086  0.406  1.0
  O  O25  1  0.174  0.595  0.410  1.0
  O  O26  1  0.174  0.405  0.090  1.0
  O  O27  1  0.178  0.914  0.094  1.0
[/CIF]
.
The crystal structure described by NaMn2O4 crystallizes in the monoclinic P2/c space group. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form edge-sharing MnO6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form edge-sharing MnO6 octahedra. In the third Mn site, Mn(3) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form edge-sharing MnO6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Na(2), one Mn(2), and two equivalent Mn(1) atoms to form ONa2Mn3 trigonal bipyramids that share corners with two equivalent O(2)Na2Mn3 trigonal bipyramids, corners with three equivalent O(1)Na2Mn3 trigonal bipyramids, corners with two equivalent O(3)NaMn3 trigonal pyramids, corners with two equivalent O(4)NaMn3 trigonal pyramids,  an edgeedge with one O(1)Na2Mn3 trigonal bipyramid, edges with three equivalent O(2)Na2Mn3 trigonal bipyramids, edges with two equivalent O(3)NaMn3 trigonal pyramids, and edges with two equivalent O(4)NaMn3 trigonal pyramids. In the second O site, O(2) is bonded to one Na(1), one Na(2), one Mn(3), and two equivalent Mn(1) atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with two equivalent O(1)Na2Mn3 trigonal bipyramids, corners with three equivalent O(2)Na2Mn3 trigonal bipyramids, corners with two equivalent O(3)NaMn3 trigonal pyramids, corners with two equivalent O(4)NaMn3 trigonal pyramids,  an edgeedge with one O(2)Na2Mn3 trigonal bipyramid, edges with three equivalent O(1)Na2Mn3 trigonal bipyramids, edges with two equivalent O(3)NaMn3 trigonal pyramids, and edges with two equivalent O(4)NaMn3 trigonal pyramids. In the third O site, O(3) is bonded to one Na(2), one Mn(1), one Mn(2), and one Mn(3) atom to form distorted ONaMn3 trigonal pyramids that share corners with two equivalent O(1)Na2Mn3 trigonal bipyramids, corners with two equivalent O(2)Na2Mn3 trigonal bipyramids, corners with three equivalent O(3)NaMn3 trigonal pyramids, corners with three equivalent O(4)NaMn3 trigonal pyramids, edges with two equivalent O(1)Na2Mn3 trigonal bipyramids, edges with two equivalent O(2)Na2Mn3 trigonal bipyramids, and  an edgeedge with one O(4)NaMn3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Na(1), one Mn(1), one Mn(2), and one Mn(3) atom to form distorted ONaMn3 trigonal pyramids that share corners with two equivalent O(1)Na2Mn3 trigonal bipyramids, corners with two equivalent O(2)Na2Mn3 trigonal bipyramids, corners with three equivalent O(3)NaMn3 trigonal pyramids, corners with three equivalent O(4)NaMn3 trigonal pyramids, edges with two equivalent O(1)Na2Mn3 trigonal bipyramids, edges with two equivalent O(2)Na2Mn3 trigonal bipyramids, and  an edgeedge with one O(3)NaMn3 trigonal pyramid. is represented by the CIF card [CIF]
data_NaMn2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.050
_cell_length_b   6.072
_cell_length_c   12.946
_cell_angle_alpha   62.004
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   350.497
_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  0.991  0.000  0.250  1.0
  Na  Na1  1  0.640  0.500  0.750  1.0
  Na  Na2  1  0.360  0.500  0.250  1.0
  Na  Na3  1  0.009  0.000  0.750  1.0
  Mn  Mn4  1  0.998  0.749  0.006  1.0
  Mn  Mn5  1  0.002  0.251  0.994  1.0
  Mn  Mn6  1  0.998  0.251  0.494  1.0
  Mn  Mn7  1  0.002  0.749  0.506  1.0
  Mn  Mn8  1  0.500  0.000  0.000  1.0
  Mn  Mn9  1  0.500  0.500  0.000  1.0
  Mn  Mn10  1  0.500  0.000  0.500  1.0
  Mn  Mn11  1  0.500  0.500  0.500  1.0
  O  O12  1  0.822  0.914  0.594  1.0
  O  O13  1  0.826  0.595  0.910  1.0
  O  O14  1  0.826  0.405  0.590  1.0
  O  O15  1  0.822  0.086  0.906  1.0
  O  O16  1  0.665  0.674  0.089  1.0
  O  O17  1  0.665  0.326  0.411  1.0
  O  O18  1  0.686  0.146  0.086  1.0
  O  O19  1  0.686  0.854  0.414  1.0
  O  O20  1  0.314  0.146  0.586  1.0
  O  O21  1  0.314  0.854  0.914  1.0
  O  O22  1  0.335  0.674  0.589  1.0
  O  O23  1  0.335  0.326  0.911  1.0
  O  O24  1  0.178  0.086  0.406  1.0
  O  O25  1  0.174  0.595  0.410  1.0
  O  O26  1  0.174  0.405  0.090  1.0
  O  O27  1  0.178  0.914  0.094  1.0
[/CIF]
.