The crystal structure described by Na5Mn7O16 is Spinel-like structured and crystallizes in the monoclinic P2/m space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3), one O(4), and two equivalent O(6) atoms to form NaO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the second Na site, Na(2) is bonded to one O(1), one O(2), and two equivalent O(5) atoms to form NaO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. In the third Na site, Na(3) is bonded in a 6-coordinate geometry to two equivalent O(4) and four equivalent O(5) atoms. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(3) and four equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Na(1)O4 tetrahedra, corners with four equivalent Na(2)O4 tetrahedra, and edges with four equivalent Mn(1)O6 octahedra. In the third Mn site, Mn(3) is bonded to two equivalent O(1) and four equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Na(2)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(2) and four equivalent O(6) atoms to form distorted MnO6 octahedra that share corners with two equivalent Na(2)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Mn(3), and two equivalent Mn(1) atoms to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)NaMn3 tetrahedra, corners with two equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 trigonal pyramid, corners with two equivalent O(4)Na2Mn2 trigonal pyramids, corners with four equivalent O(5)Na2Mn2 trigonal pyramids, edges with two equivalent O(6)NaMn3 tetrahedra, and  an edgeedge with one O(2)NaMn3 trigonal pyramid. In the second O site, O(2) is bonded to one Na(2), one Mn(4), and two equivalent Mn(1) atoms to form distorted ONaMn3 trigonal pyramids that share  a cornercorner with one O(1)NaMn3 tetrahedra, corners with two equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 trigonal pyramid, corners with two equivalent O(4)Na2Mn2 trigonal pyramids, corners with four equivalent O(5)Na2Mn2 trigonal pyramids,  an edgeedge with one O(1)NaMn3 tetrahedra, and edges with two equivalent O(6)NaMn3 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Na(1), one Mn(2), and two equivalent Mn(1) atoms. In the fourth O site, O(4) is bonded to one Na(1), one Na(3), and two equivalent Mn(1) atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with two equivalent O(1)NaMn3 tetrahedra, corners with four equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(4)Na2Mn2 trigonal pyramid, corners with two equivalent O(5)Na2Mn2 trigonal pyramids, corners with two equivalent O(2)NaMn3 trigonal pyramids, and edges with two equivalent O(5)Na2Mn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Na(2), one Na(3), one Mn(1), and one Mn(2) atom to form distorted ONa2Mn2 trigonal pyramids that share  a cornercorner with one O(6)NaMn3 tetrahedra, corners with two equivalent O(1)NaMn3 tetrahedra,  a cornercorner with one O(4)Na2Mn2 trigonal pyramid, corners with two equivalent O(2)NaMn3 trigonal pyramids, corners with five equivalent O(5)Na2Mn2 trigonal pyramids,  an edgeedge with one O(4)Na2Mn2 trigonal pyramid, and  an edgeedge with one O(5)Na2Mn2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Na(1), one Mn(1), one Mn(3), and one Mn(4) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)NaMn3 tetrahedra, corners with five equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(5)Na2Mn2 trigonal pyramid,  a cornercorner with one O(2)NaMn3 trigonal pyramid, corners with two equivalent O(4)Na2Mn2 trigonal pyramids,  an edgeedge with one O(1)NaMn3 tetrahedra,  an edgeedge with one O(6)NaMn3 tetrahedra, and  an edgeedge with one O(2)NaMn3 trigonal pyramid. is represented by the CIF file [CIF]
data_Na5Mn7O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.978
_cell_length_b   6.210
_cell_length_c   8.811
_cell_angle_alpha   88.031
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   326.925
_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  0.000  0.237  0.626  1.0
  Na  Na1  1  0.500  0.235  0.881  1.0
  Na  Na2  1  0.000  0.000  0.000  1.0
  Na  Na3  1  0.500  0.765  0.119  1.0
  Na  Na4  1  0.000  0.763  0.374  1.0
  Mn  Mn5  1  0.249  0.730  0.750  1.0
  Mn  Mn6  1  0.751  0.730  0.750  1.0
  Mn  Mn7  1  0.000  0.500  0.000  1.0
  Mn  Mn8  1  0.751  0.270  0.250  1.0
  Mn  Mn9  1  0.249  0.270  0.250  1.0
  Mn  Mn10  1  0.500  0.500  0.500  1.0
  Mn  Mn11  1  0.500  0.000  0.500  1.0
  O  O12  1  0.500  0.517  0.722  1.0
  O  O13  1  0.500  0.931  0.749  1.0
  O  O14  1  0.000  0.516  0.771  1.0
  O  O15  1  0.000  0.920  0.737  1.0
  O  O16  1  0.772  0.711  0.962  1.0
  O  O17  1  0.228  0.711  0.962  1.0
  O  O18  1  0.228  0.289  0.038  1.0
  O  O19  1  0.772  0.289  0.038  1.0
  O  O20  1  0.000  0.080  0.263  1.0
  O  O21  1  0.000  0.484  0.229  1.0
  O  O22  1  0.500  0.069  0.251  1.0
  O  O23  1  0.500  0.483  0.278  1.0
  O  O24  1  0.709  0.256  0.479  1.0
  O  O25  1  0.291  0.256  0.479  1.0
  O  O26  1  0.291  0.744  0.521  1.0
  O  O27  1  0.709  0.744  0.521  1.0
[/CIF]
.
The crystal structure described by Na5Mn7O16 is Spinel-like structured and crystallizes in the monoclinic P2/m space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(3), one O(4), and two equivalent O(6) atoms to form NaO4 tetrahedra that share  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(4)O6 octahedra, and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-66°. In the second Na site, Na(2) is bonded to one O(1), one O(2), and two equivalent O(5) atoms to form NaO4 tetrahedra that share  a cornercorner with one Mn(3)O6 octahedra,  a cornercorner with one Mn(4)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, and corners with six equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-68°. In the third Na site, Na(3) is bonded in a 6-coordinate geometry to two equivalent O(4) and four equivalent O(5) atoms. There are four inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra, and edges with two equivalent Mn(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to two equivalent O(3) and four equivalent O(5) atoms to form MnO6 octahedra that share corners with two equivalent Na(1)O4 tetrahedra, corners with four equivalent Na(2)O4 tetrahedra, and edges with four equivalent Mn(1)O6 octahedra. In the third Mn site, Mn(3) is bonded to two equivalent O(1) and four equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Na(2)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(2) and four equivalent O(6) atoms to form distorted MnO6 octahedra that share corners with two equivalent Na(2)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with four equivalent Mn(1)O6 octahedra. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Mn(3), and two equivalent Mn(1) atoms to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)NaMn3 tetrahedra, corners with two equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 trigonal pyramid, corners with two equivalent O(4)Na2Mn2 trigonal pyramids, corners with four equivalent O(5)Na2Mn2 trigonal pyramids, edges with two equivalent O(6)NaMn3 tetrahedra, and  an edgeedge with one O(2)NaMn3 trigonal pyramid. In the second O site, O(2) is bonded to one Na(2), one Mn(4), and two equivalent Mn(1) atoms to form distorted ONaMn3 trigonal pyramids that share  a cornercorner with one O(1)NaMn3 tetrahedra, corners with two equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 trigonal pyramid, corners with two equivalent O(4)Na2Mn2 trigonal pyramids, corners with four equivalent O(5)Na2Mn2 trigonal pyramids,  an edgeedge with one O(1)NaMn3 tetrahedra, and edges with two equivalent O(6)NaMn3 tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Na(1), one Mn(2), and two equivalent Mn(1) atoms. In the fourth O site, O(4) is bonded to one Na(1), one Na(3), and two equivalent Mn(1) atoms to form distorted ONa2Mn2 trigonal pyramids that share corners with two equivalent O(1)NaMn3 tetrahedra, corners with four equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(4)Na2Mn2 trigonal pyramid, corners with two equivalent O(5)Na2Mn2 trigonal pyramids, corners with two equivalent O(2)NaMn3 trigonal pyramids, and edges with two equivalent O(5)Na2Mn2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Na(2), one Na(3), one Mn(1), and one Mn(2) atom to form distorted ONa2Mn2 trigonal pyramids that share  a cornercorner with one O(6)NaMn3 tetrahedra, corners with two equivalent O(1)NaMn3 tetrahedra,  a cornercorner with one O(4)Na2Mn2 trigonal pyramid, corners with two equivalent O(2)NaMn3 trigonal pyramids, corners with five equivalent O(5)Na2Mn2 trigonal pyramids,  an edgeedge with one O(4)Na2Mn2 trigonal pyramid, and  an edgeedge with one O(5)Na2Mn2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Na(1), one Mn(1), one Mn(3), and one Mn(4) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)NaMn3 tetrahedra, corners with five equivalent O(6)NaMn3 tetrahedra,  a cornercorner with one O(5)Na2Mn2 trigonal pyramid,  a cornercorner with one O(2)NaMn3 trigonal pyramid, corners with two equivalent O(4)Na2Mn2 trigonal pyramids,  an edgeedge with one O(1)NaMn3 tetrahedra,  an edgeedge with one O(6)NaMn3 tetrahedra, and  an edgeedge with one O(2)NaMn3 trigonal pyramid. is represented by the CIF file [CIF]
data_Na5Mn7O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.978
_cell_length_b   6.210
_cell_length_c   8.811
_cell_angle_alpha   88.031
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   326.925
_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  0.000  0.237  0.626  1.0
  Na  Na1  1  0.500  0.235  0.881  1.0
  Na  Na2  1  0.000  0.000  0.000  1.0
  Na  Na3  1  0.500  0.765  0.119  1.0
  Na  Na4  1  0.000  0.763  0.374  1.0
  Mn  Mn5  1  0.249  0.730  0.750  1.0
  Mn  Mn6  1  0.751  0.730  0.750  1.0
  Mn  Mn7  1  0.000  0.500  0.000  1.0
  Mn  Mn8  1  0.751  0.270  0.250  1.0
  Mn  Mn9  1  0.249  0.270  0.250  1.0
  Mn  Mn10  1  0.500  0.500  0.500  1.0
  Mn  Mn11  1  0.500  0.000  0.500  1.0
  O  O12  1  0.500  0.517  0.722  1.0
  O  O13  1  0.500  0.931  0.749  1.0
  O  O14  1  0.000  0.516  0.771  1.0
  O  O15  1  0.000  0.920  0.737  1.0
  O  O16  1  0.772  0.711  0.962  1.0
  O  O17  1  0.228  0.711  0.962  1.0
  O  O18  1  0.228  0.289  0.038  1.0
  O  O19  1  0.772  0.289  0.038  1.0
  O  O20  1  0.000  0.080  0.263  1.0
  O  O21  1  0.000  0.484  0.229  1.0
  O  O22  1  0.500  0.069  0.251  1.0
  O  O23  1  0.500  0.483  0.278  1.0
  O  O24  1  0.709  0.256  0.479  1.0
  O  O25  1  0.291  0.256  0.479  1.0
  O  O26  1  0.291  0.744  0.521  1.0
  O  O27  1  0.709  0.744  0.521  1.0
[/CIF]
.