The crystal structure described by Na4MgMn4O8 crystallizes in the triclinic P1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), two equivalent O(1), and two equivalent O(6) atoms to form distorted NaO5 trigonal bipyramids that share corners with two equivalent Mn(1)O5 square pyramids, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(1)O5 square pyramid, edges with two equivalent Mn(4)O5 square pyramids, and edges with two equivalent Na(1)O5 trigonal bipyramids. In the second Na site, Na(2) is bonded in a 5-coordinate geometry to one O(5), two equivalent O(2), and two equivalent O(3) atoms. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(1), two equivalent O(3), and two equivalent O(7) atoms. In the fourth Na site, Na(4) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(4), and two equivalent O(8) atoms. Mg(1) is bonded to one O(2), one O(6), and two equivalent O(8) atoms to form distorted MgO4 tetrahedra that share corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(3)O4 tetrahedra, and corners with two equivalent Na(1)O5 trigonal bipyramids. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(7), two equivalent O(1), and two equivalent O(5) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(3)O4 tetrahedra, corners with two equivalent Na(1)O5 trigonal bipyramids, edges with two equivalent Mn(1)O5 square pyramids, edges with two equivalent Mn(4)O5 square pyramids, and  an edgeedge with one Na(1)O5 trigonal bipyramid. In the second Mn site, Mn(2) is bonded in a 5-coordinate geometry to one O(4), two equivalent O(2), and two equivalent O(6) atoms. In the third Mn site, Mn(3) is bonded to one O(5), one O(8), and two equivalent O(3) atoms to form MnO4 tetrahedra that share corners with two equivalent Mn(1)O5 square pyramids, corners with two equivalent Mg(1)O4 tetrahedra, and corners with two equivalent Mn(3)O4 tetrahedra. In the fourth Mn site, Mn(4) is bonded to one O(1), two equivalent O(4), and two equivalent O(7) atoms to form MnO5 square pyramids that share edges with two equivalent Mn(1)O5 square pyramids, edges with two equivalent Mn(4)O5 square pyramids, and edges with two equivalent Na(1)O5 trigonal bipyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Na(3), two equivalent Na(1), one Mn(4), and two equivalent Mn(1) atoms to form distorted ONa3Mn3 octahedra that share corners with two equivalent O(5)NaMn3 tetrahedra, corners with two equivalent O(6)Na2MgMn2 trigonal bipyramids, corners with two equivalent O(7)Na2Mn3 trigonal bipyramids, edges with two equivalent O(1)Na3Mn3 octahedra, edges with two equivalent O(4)Na3Mn3 octahedra,  an edgeedge with one O(5)NaMn3 tetrahedra,  an edgeedge with one O(6)Na2MgMn2 trigonal bipyramid, and edges with two equivalent O(7)Na2Mn3 trigonal bipyramids. In the second O site, O(2) is bonded to one Na(4), two equivalent Na(2), one Mg(1), and two equivalent Mn(2) atoms to form ONa3MgMn2 octahedra that share corners with two equivalent O(5)NaMn3 tetrahedra, corners with two equivalent O(6)Na2MgMn2 trigonal bipyramids, edges with two equivalent O(2)Na3MgMn2 octahedra, edges with two equivalent O(4)Na3Mn3 octahedra, and  a faceface with one O(6)Na2MgMn2 trigonal bipyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Na(2), two equivalent Na(3), and two equivalent Mn(3) atoms. In the fourth O site, O(4) is bonded to one Na(1), two equivalent Na(4), one Mn(2), and two equivalent Mn(4) atoms to form ONa3Mn3 octahedra that share corners with two equivalent O(7)Na2Mn3 trigonal bipyramids, corners with four equivalent O(6)Na2MgMn2 trigonal bipyramids, edges with two equivalent O(2)Na3MgMn2 octahedra, edges with two equivalent O(1)Na3Mn3 octahedra, edges with two equivalent O(4)Na3Mn3 octahedra, and  an edgeedge with one O(7)Na2Mn3 trigonal bipyramid. In the fifth O site, O(5) is bonded to one Na(2), one Mn(3), and two equivalent Mn(1) atoms to form ONaMn3 tetrahedra that share corners with two equivalent O(2)Na3MgMn2 octahedra, corners with two equivalent O(1)Na3Mn3 octahedra, corners with two equivalent O(5)NaMn3 tetrahedra, corners with two equivalent O(7)Na2Mn3 trigonal bipyramids, and  an edgeedge with one O(1)Na3Mn3 octahedra. The corner-sharing octahedral tilt angles range from 10-72°. In the sixth O site, O(6) is bonded to two equivalent Na(1), one Mg(1), and two equivalent Mn(2) atoms to form ONa2MgMn2 trigonal bipyramids that share corners with two equivalent O(2)Na3MgMn2 octahedra, corners with two equivalent O(1)Na3Mn3 octahedra, corners with four equivalent O(4)Na3Mn3 octahedra,  an edgeedge with one O(1)Na3Mn3 octahedra, edges with two equivalent O(6)Na2MgMn2 trigonal bipyramids, and  a faceface with one O(2)Na3MgMn2 octahedra. The corner-sharing octahedral tilt angles range from 18-68°. In the seventh O site, O(7) is bonded to two equivalent Na(3), one Mn(1), and two equivalent Mn(4) atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with two equivalent O(1)Na3Mn3 octahedra, corners with two equivalent O(4)Na3Mn3 octahedra, corners with two equivalent O(5)NaMn3 tetrahedra,  an edgeedge with one O(4)Na3Mn3 octahedra, edges with two equivalent O(1)Na3Mn3 octahedra, and edges with two equivalent O(7)Na2Mn3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 7-60°. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to two equivalent Na(4), two equivalent Mg(1), and one Mn(3) atom. is represented by the CIF file [CIF]
data_Na4MgMn4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.048
_cell_length_b   6.824
_cell_length_c   11.340
_cell_angle_alpha   105.638
_cell_angle_beta   97.151
_cell_angle_gamma   90.129
_symmetry_Int_Tables_number   1
_cell_volume   225.190
_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  0.440  0.405  0.469  1.0
  Na  Na1  1  0.213  0.657  0.994  1.0
  Na  Na2  1  0.041  0.771  0.718  1.0
  Na  Na3  1  0.824  0.026  0.220  1.0
  Mg  Mg4  1  0.801  0.397  0.175  1.0
  Mn  Mn5  1  0.553  0.302  0.741  1.0
  Mn  Mn6  1  0.361  0.710  0.303  1.0
  Mn  Mn7  1  0.160  0.070  0.947  1.0
  Mn  Mn8  1  0.955  0.019  0.521  1.0
  O  O9  1  0.005  0.357  0.635  1.0
  O  O10  1  0.791  0.680  0.160  1.0
  O  O11  1  0.635  0.865  0.895  1.0
  O  O12  1  0.401  0.025  0.402  1.0
  O  O13  1  0.106  0.302  0.856  1.0
  O  O14  1  0.890  0.548  0.364  1.0
  O  O15  1  0.502  0.974  0.627  1.0
  O  O16  1  0.281  0.215  0.133  1.0
[/CIF]
.
The crystal structure described by Na4MgMn4O8 crystallizes in the triclinic P1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), two equivalent O(1), and two equivalent O(6) atoms to form distorted NaO5 trigonal bipyramids that share corners with two equivalent Mn(1)O5 square pyramids, corners with two equivalent Mg(1)O4 tetrahedra,  an edgeedge with one Mn(1)O5 square pyramid, edges with two equivalent Mn(4)O5 square pyramids, and edges with two equivalent Na(1)O5 trigonal bipyramids. In the second Na site, Na(2) is bonded in a 5-coordinate geometry to one O(5), two equivalent O(2), and two equivalent O(3) atoms. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(1), two equivalent O(3), and two equivalent O(7) atoms. In the fourth Na site, Na(4) is bonded in a 5-coordinate geometry to one O(2), two equivalent O(4), and two equivalent O(8) atoms. Mg(1) is bonded to one O(2), one O(6), and two equivalent O(8) atoms to form distorted MgO4 tetrahedra that share corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent Mn(3)O4 tetrahedra, and corners with two equivalent Na(1)O5 trigonal bipyramids. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(7), two equivalent O(1), and two equivalent O(5) atoms to form MnO5 square pyramids that share corners with two equivalent Mn(3)O4 tetrahedra, corners with two equivalent Na(1)O5 trigonal bipyramids, edges with two equivalent Mn(1)O5 square pyramids, edges with two equivalent Mn(4)O5 square pyramids, and  an edgeedge with one Na(1)O5 trigonal bipyramid. In the second Mn site, Mn(2) is bonded in a 5-coordinate geometry to one O(4), two equivalent O(2), and two equivalent O(6) atoms. In the third Mn site, Mn(3) is bonded to one O(5), one O(8), and two equivalent O(3) atoms to form MnO4 tetrahedra that share corners with two equivalent Mn(1)O5 square pyramids, corners with two equivalent Mg(1)O4 tetrahedra, and corners with two equivalent Mn(3)O4 tetrahedra. In the fourth Mn site, Mn(4) is bonded to one O(1), two equivalent O(4), and two equivalent O(7) atoms to form MnO5 square pyramids that share edges with two equivalent Mn(1)O5 square pyramids, edges with two equivalent Mn(4)O5 square pyramids, and edges with two equivalent Na(1)O5 trigonal bipyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Na(3), two equivalent Na(1), one Mn(4), and two equivalent Mn(1) atoms to form distorted ONa3Mn3 octahedra that share corners with two equivalent O(5)NaMn3 tetrahedra, corners with two equivalent O(6)Na2MgMn2 trigonal bipyramids, corners with two equivalent O(7)Na2Mn3 trigonal bipyramids, edges with two equivalent O(1)Na3Mn3 octahedra, edges with two equivalent O(4)Na3Mn3 octahedra,  an edgeedge with one O(5)NaMn3 tetrahedra,  an edgeedge with one O(6)Na2MgMn2 trigonal bipyramid, and edges with two equivalent O(7)Na2Mn3 trigonal bipyramids. In the second O site, O(2) is bonded to one Na(4), two equivalent Na(2), one Mg(1), and two equivalent Mn(2) atoms to form ONa3MgMn2 octahedra that share corners with two equivalent O(5)NaMn3 tetrahedra, corners with two equivalent O(6)Na2MgMn2 trigonal bipyramids, edges with two equivalent O(2)Na3MgMn2 octahedra, edges with two equivalent O(4)Na3Mn3 octahedra, and  a faceface with one O(6)Na2MgMn2 trigonal bipyramid. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Na(2), two equivalent Na(3), and two equivalent Mn(3) atoms. In the fourth O site, O(4) is bonded to one Na(1), two equivalent Na(4), one Mn(2), and two equivalent Mn(4) atoms to form ONa3Mn3 octahedra that share corners with two equivalent O(7)Na2Mn3 trigonal bipyramids, corners with four equivalent O(6)Na2MgMn2 trigonal bipyramids, edges with two equivalent O(2)Na3MgMn2 octahedra, edges with two equivalent O(1)Na3Mn3 octahedra, edges with two equivalent O(4)Na3Mn3 octahedra, and  an edgeedge with one O(7)Na2Mn3 trigonal bipyramid. In the fifth O site, O(5) is bonded to one Na(2), one Mn(3), and two equivalent Mn(1) atoms to form ONaMn3 tetrahedra that share corners with two equivalent O(2)Na3MgMn2 octahedra, corners with two equivalent O(1)Na3Mn3 octahedra, corners with two equivalent O(5)NaMn3 tetrahedra, corners with two equivalent O(7)Na2Mn3 trigonal bipyramids, and  an edgeedge with one O(1)Na3Mn3 octahedra. The corner-sharing octahedral tilt angles range from 10-72°. In the sixth O site, O(6) is bonded to two equivalent Na(1), one Mg(1), and two equivalent Mn(2) atoms to form ONa2MgMn2 trigonal bipyramids that share corners with two equivalent O(2)Na3MgMn2 octahedra, corners with two equivalent O(1)Na3Mn3 octahedra, corners with four equivalent O(4)Na3Mn3 octahedra,  an edgeedge with one O(1)Na3Mn3 octahedra, edges with two equivalent O(6)Na2MgMn2 trigonal bipyramids, and  a faceface with one O(2)Na3MgMn2 octahedra. The corner-sharing octahedral tilt angles range from 18-68°. In the seventh O site, O(7) is bonded to two equivalent Na(3), one Mn(1), and two equivalent Mn(4) atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with two equivalent O(1)Na3Mn3 octahedra, corners with two equivalent O(4)Na3Mn3 octahedra, corners with two equivalent O(5)NaMn3 tetrahedra,  an edgeedge with one O(4)Na3Mn3 octahedra, edges with two equivalent O(1)Na3Mn3 octahedra, and edges with two equivalent O(7)Na2Mn3 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 7-60°. In the eighth O site, O(8) is bonded in a 5-coordinate geometry to two equivalent Na(4), two equivalent Mg(1), and one Mn(3) atom. is represented by the CIF file [CIF]
data_Na4MgMn4O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.048
_cell_length_b   6.824
_cell_length_c   11.340
_cell_angle_alpha   105.638
_cell_angle_beta   97.151
_cell_angle_gamma   90.129
_symmetry_Int_Tables_number   1
_cell_volume   225.190
_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  0.440  0.405  0.469  1.0
  Na  Na1  1  0.213  0.657  0.994  1.0
  Na  Na2  1  0.041  0.771  0.718  1.0
  Na  Na3  1  0.824  0.026  0.220  1.0
  Mg  Mg4  1  0.801  0.397  0.175  1.0
  Mn  Mn5  1  0.553  0.302  0.741  1.0
  Mn  Mn6  1  0.361  0.710  0.303  1.0
  Mn  Mn7  1  0.160  0.070  0.947  1.0
  Mn  Mn8  1  0.955  0.019  0.521  1.0
  O  O9  1  0.005  0.357  0.635  1.0
  O  O10  1  0.791  0.680  0.160  1.0
  O  O11  1  0.635  0.865  0.895  1.0
  O  O12  1  0.401  0.025  0.402  1.0
  O  O13  1  0.106  0.302  0.856  1.0
  O  O14  1  0.890  0.548  0.364  1.0
  O  O15  1  0.502  0.974  0.627  1.0
  O  O16  1  0.281  0.215  0.133  1.0
[/CIF]
.