The crystal structure described by Na5Mn7O15 crystallizes in the triclinic P1 space group. There are five inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), one O(5), one O(6), and one O(7) atom to form NaO4 tetrahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra, corners with three equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(2)O5 square pyramids, and corners with two equivalent Mn(5)O5 square pyramids. The corner-sharing octahedral tilt angles range from 42-69°. In the second Na site, Na(2) is bonded to one O(1), one O(12), one O(2), and one O(9) atom to form NaO4 tetrahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O5 square pyramids, and corners with two equivalent Mn(5)O5 square pyramids. The corner-sharing octahedral tilt angles range from 46-70°. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(6), one O(7), and one O(9) atom. In the fourth Na site, Na(4) is bonded to one O(14), one O(15), one O(3), and one O(8) atom to form NaO4 tetrahedra that share corners with two equivalent Mn(4)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with two equivalent Mn(7)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O5 square pyramid, and  a cornercorner with one Mn(5)O5 square pyramid. The corner-sharing octahedral tilt angles range from 47-73°. In the fifth Na site, Na(5) is bonded in a trigonal non-coplanar geometry to one O(10), one O(11), and one O(13) atom. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(14), one O(15), one O(2), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(2)O5 square pyramid, and  an edgeedge with one Mn(5)O5 square pyramid. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(4), and one O(6) atom to form MnO5 square pyramids that share  a cornercorner with one Mn(5)O5 square pyramid,  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(5)O5 square pyramid. In the third Mn site, Mn(3) is bonded to one O(10), one O(11), one O(13), one O(4), one O(6), and one O(7) atom to form MnO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(2)O5 square pyramid, and  an edgeedge with one Mn(5)O5 square pyramid. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(11), one O(12), one O(15), one O(5), and one O(8) atom to form distorted MnO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form distorted MnO5 square pyramids that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(2)O5 square pyramid. In the sixth Mn site, Mn(6) is bonded to one O(10), one O(12), one O(13), one O(14), one O(5), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(12), one O(13), one O(14), one O(15), and one O(5) atom to form distorted MnO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Na(3), one Mn(1), and one Mn(2) atom to form ONa2Mn2 tetrahedra that share  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(12)NaMn3 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(6)Na2Mn2 trigonal pyramids,  an edgeedge with one O(9)Na2Mn2 tetrahedra, and  an edgeedge with one O(2)NaMn3 tetrahedra. In the second O site, O(2) is bonded to one Na(2), one Mn(1), one Mn(2), and one Mn(5) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(12)NaMn3 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid,  an edgeedge with one O(1)Na2Mn2 tetrahedra, and  an edgeedge with one O(9)Na2Mn2 tetrahedra. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Na(3), one Na(4), one Mn(2), and one Mn(5) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Na(1), one Mn(2), one Mn(3), and one Mn(5) atom. In the fifth O site, O(5) is bonded to one Na(1), one Mn(4), one Mn(6), and one Mn(7) atom to form distorted ONaMn3 trigonal pyramids that share corners with two equivalent O(11)NaMn3 tetrahedra, corners with two equivalent O(13)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid, corners with three equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(14)NaMn3 tetrahedra,  an edgeedge with one O(15)NaMn3 tetrahedra, and  an edgeedge with one O(8)NaMn3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Na(1), one Na(3), one Mn(2), and one Mn(3) atom to form distorted ONa2Mn2 trigonal pyramids that share  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(7)Na2Mn2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(1), one Na(3), one Mn(3), and one Mn(5) atom to form distorted ONa2Mn2 trigonal pyramids that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(6)Na2Mn2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Na(4), one Mn(1), one Mn(4), and one Mn(6) atom to form distorted ONaMn3 trigonal pyramids that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(14)NaMn3 tetrahedra,  an edgeedge with one O(15)NaMn3 tetrahedra, and  an edgeedge with one O(5)NaMn3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Na(2), one Na(3), one Mn(1), and one Mn(5) atom to form distorted ONa2Mn2 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(12)NaMn3 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(7)Na2Mn2 trigonal pyramids,  an edgeedge with one O(1)Na2Mn2 tetrahedra, and  an edgeedge with one O(2)NaMn3 tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Na(5), one Mn(3), one Mn(4), and one Mn(6) atom. In the eleventh O site, O(11) is bonded to one Na(5), one Mn(3), one Mn(4), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra, corners with two equivalent O(15)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(5)NaMn3 trigonal pyramids,  an edgeedge with one O(13)NaMn3 tetrahedra, and  an edgeedge with one O(12)NaMn3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Na(2), one Mn(4), one Mn(6), and one Mn(7) atom to form distorted ONaMn3 trigonal pyramids that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(14)NaMn3 tetrahedra, corners with two equivalent O(15)NaMn3 tetrahedra, corners with two equivalent O(8)NaMn3 trigonal pyramids, corners with three equivalent O(5)NaMn3 trigonal pyramids,  an edgeedge with one O(11)NaMn3 tetrahedra, and  an edgeedge with one O(13)NaMn3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Na(5), one Mn(3), one Mn(6), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra, corners with two equivalent O(14)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(5)NaMn3 trigonal pyramids,  an edgeedge with one O(11)NaMn3 tetrahedra, and  an edgeedge with one O(12)NaMn3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Na(4), one Mn(1), one Mn(6), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(13)NaMn3 tetrahedra,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(15)NaMn3 tetrahedra,  an edgeedge with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(8)NaMn3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Na(4), one Mn(1), one Mn(4), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(11)NaMn3 tetrahedra,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(14)NaMn3 tetrahedra,  an edgeedge with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(8)NaMn3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na5Mn7O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.266
_cell_length_b   6.380
_cell_length_c   10.556
_cell_angle_alpha   94.957
_cell_angle_beta   67.832
_cell_angle_gamma   119.647
_symmetry_Int_Tables_number   1
_cell_volume   337.015
_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  0.883  0.184  0.427  1.0
  Na  Na1  1  0.118  0.322  0.075  1.0
  Na  Na2  1  0.490  0.753  0.255  1.0
  Na  Na3  1  0.881  0.706  0.923  1.0
  Na  Na4  1  0.123  0.797  0.567  1.0
  Mn  Mn5  1  0.500  0.015  0.003  1.0
  Mn  Mn6  1  0.526  0.292  0.238  1.0
  Mn  Mn7  1  0.502  0.487  0.502  1.0
  Mn  Mn8  1  0.500  0.251  0.752  1.0
  Mn  Mn9  1  0.984  0.754  0.238  1.0
  Mn  Mn10  1  0.999  0.251  0.751  1.0
  Mn  Mn11  1  0.499  0.751  0.752  1.0
  O  O12  1  0.678  0.116  0.131  1.0
  O  O13  1  0.260  0.109  0.157  1.0
  O  O14  1  0.734  0.590  0.140  1.0
  O  O15  1  0.738  0.396  0.352  1.0
  O  O16  1  0.766  0.159  0.651  1.0
  O  O17  1  0.310  0.381  0.384  1.0
  O  O18  1  0.738  0.802  0.393  1.0
  O  O19  1  0.735  0.323  0.884  1.0
  O  O20  1  0.264  0.707  0.117  1.0
  O  O21  1  0.267  0.175  0.618  1.0
  O  O22  1  0.686  0.586  0.634  1.0
  O  O23  1  0.233  0.343  0.852  1.0
  O  O24  1  0.261  0.583  0.646  1.0
  O  O25  1  0.737  0.921  0.858  1.0
  O  O26  1  0.316  0.919  0.871  1.0
[/CIF]
.
The crystal structure described by Na5Mn7O15 crystallizes in the triclinic P1 space group. There are five inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(4), one O(5), one O(6), and one O(7) atom to form NaO4 tetrahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra, corners with three equivalent Mn(3)O6 octahedra, corners with two equivalent Mn(2)O5 square pyramids, and corners with two equivalent Mn(5)O5 square pyramids. The corner-sharing octahedral tilt angles range from 42-69°. In the second Na site, Na(2) is bonded to one O(1), one O(12), one O(2), and one O(9) atom to form NaO4 tetrahedra that share  a cornercorner with one Mn(4)O6 octahedra,  a cornercorner with one Mn(6)O6 octahedra,  a cornercorner with one Mn(7)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O5 square pyramids, and corners with two equivalent Mn(5)O5 square pyramids. The corner-sharing octahedral tilt angles range from 46-70°. In the third Na site, Na(3) is bonded in a 5-coordinate geometry to one O(1), one O(3), one O(6), one O(7), and one O(9) atom. In the fourth Na site, Na(4) is bonded to one O(14), one O(15), one O(3), and one O(8) atom to form NaO4 tetrahedra that share corners with two equivalent Mn(4)O6 octahedra, corners with two equivalent Mn(6)O6 octahedra, corners with two equivalent Mn(7)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O5 square pyramid, and  a cornercorner with one Mn(5)O5 square pyramid. The corner-sharing octahedral tilt angles range from 47-73°. In the fifth Na site, Na(5) is bonded in a trigonal non-coplanar geometry to one O(10), one O(11), and one O(13) atom. There are seven inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(14), one O(15), one O(2), one O(8), and one O(9) atom to form MnO6 octahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(2)O5 square pyramid, and  an edgeedge with one Mn(5)O5 square pyramid. In the second Mn site, Mn(2) is bonded to one O(1), one O(2), one O(3), one O(4), and one O(6) atom to form MnO5 square pyramids that share  a cornercorner with one Mn(5)O5 square pyramid,  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(5)O5 square pyramid. In the third Mn site, Mn(3) is bonded to one O(10), one O(11), one O(13), one O(4), one O(6), and one O(7) atom to form MnO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(6)O6 octahedra,  an edgeedge with one Mn(7)O6 octahedra,  an edgeedge with one Mn(2)O5 square pyramid, and  an edgeedge with one Mn(5)O5 square pyramid. In the fourth Mn site, Mn(4) is bonded to one O(10), one O(11), one O(12), one O(15), one O(5), and one O(8) atom to form distorted MnO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(6)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form distorted MnO5 square pyramids that share  a cornercorner with one Mn(2)O5 square pyramid,  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, and  an edgeedge with one Mn(2)O5 square pyramid. In the sixth Mn site, Mn(6) is bonded to one O(10), one O(12), one O(13), one O(14), one O(5), and one O(8) atom to form MnO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(7)O6 octahedra. In the seventh Mn site, Mn(7) is bonded to one O(11), one O(12), one O(13), one O(14), one O(15), and one O(5) atom to form distorted MnO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(2)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra, edges with two equivalent Mn(4)O6 octahedra, and edges with two equivalent Mn(6)O6 octahedra. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Na(3), one Mn(1), and one Mn(2) atom to form ONa2Mn2 tetrahedra that share  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(12)NaMn3 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(6)Na2Mn2 trigonal pyramids,  an edgeedge with one O(9)Na2Mn2 tetrahedra, and  an edgeedge with one O(2)NaMn3 tetrahedra. In the second O site, O(2) is bonded to one Na(2), one Mn(1), one Mn(2), and one Mn(5) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(12)NaMn3 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid,  an edgeedge with one O(1)Na2Mn2 tetrahedra, and  an edgeedge with one O(9)Na2Mn2 tetrahedra. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Na(3), one Na(4), one Mn(2), and one Mn(5) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Na(1), one Mn(2), one Mn(3), and one Mn(5) atom. In the fifth O site, O(5) is bonded to one Na(1), one Mn(4), one Mn(6), and one Mn(7) atom to form distorted ONaMn3 trigonal pyramids that share corners with two equivalent O(11)NaMn3 tetrahedra, corners with two equivalent O(13)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid, corners with three equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(14)NaMn3 tetrahedra,  an edgeedge with one O(15)NaMn3 tetrahedra, and  an edgeedge with one O(8)NaMn3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Na(1), one Na(3), one Mn(2), and one Mn(3) atom to form distorted ONa2Mn2 trigonal pyramids that share  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(7)Na2Mn2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(1), one Na(3), one Mn(3), and one Mn(5) atom to form distorted ONa2Mn2 trigonal pyramids that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(6)Na2Mn2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Na(4), one Mn(1), one Mn(4), and one Mn(6) atom to form distorted ONaMn3 trigonal pyramids that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(14)NaMn3 tetrahedra,  an edgeedge with one O(15)NaMn3 tetrahedra, and  an edgeedge with one O(5)NaMn3 trigonal pyramid. In the ninth O site, O(9) is bonded to one Na(2), one Na(3), one Mn(1), and one Mn(5) atom to form distorted ONa2Mn2 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(12)NaMn3 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(7)Na2Mn2 trigonal pyramids,  an edgeedge with one O(1)Na2Mn2 tetrahedra, and  an edgeedge with one O(2)NaMn3 tetrahedra. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Na(5), one Mn(3), one Mn(4), and one Mn(6) atom. In the eleventh O site, O(11) is bonded to one Na(5), one Mn(3), one Mn(4), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra, corners with two equivalent O(15)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(5)NaMn3 trigonal pyramids,  an edgeedge with one O(13)NaMn3 tetrahedra, and  an edgeedge with one O(12)NaMn3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Na(2), one Mn(4), one Mn(6), and one Mn(7) atom to form distorted ONaMn3 trigonal pyramids that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(14)NaMn3 tetrahedra, corners with two equivalent O(15)NaMn3 tetrahedra, corners with two equivalent O(8)NaMn3 trigonal pyramids, corners with three equivalent O(5)NaMn3 trigonal pyramids,  an edgeedge with one O(11)NaMn3 tetrahedra, and  an edgeedge with one O(13)NaMn3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Na(5), one Mn(3), one Mn(6), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra, corners with two equivalent O(14)NaMn3 tetrahedra,  a cornercorner with one O(6)Na2Mn2 trigonal pyramid,  a cornercorner with one O(7)Na2Mn2 trigonal pyramid,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(5)NaMn3 trigonal pyramids,  an edgeedge with one O(11)NaMn3 tetrahedra, and  an edgeedge with one O(12)NaMn3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Na(4), one Mn(1), one Mn(6), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(11)NaMn3 tetrahedra,  a cornercorner with one O(15)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(13)NaMn3 tetrahedra,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(15)NaMn3 tetrahedra,  an edgeedge with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(8)NaMn3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Na(4), one Mn(1), one Mn(4), and one Mn(7) atom to form ONaMn3 tetrahedra that share  a cornercorner with one O(1)Na2Mn2 tetrahedra,  a cornercorner with one O(9)Na2Mn2 tetrahedra,  a cornercorner with one O(13)NaMn3 tetrahedra,  a cornercorner with one O(14)NaMn3 tetrahedra,  a cornercorner with one O(2)NaMn3 tetrahedra, corners with two equivalent O(11)NaMn3 tetrahedra,  a cornercorner with one O(8)NaMn3 trigonal pyramid, corners with two equivalent O(12)NaMn3 trigonal pyramids,  an edgeedge with one O(14)NaMn3 tetrahedra,  an edgeedge with one O(5)NaMn3 trigonal pyramid, and  an edgeedge with one O(8)NaMn3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na5Mn7O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.266
_cell_length_b   6.380
_cell_length_c   10.556
_cell_angle_alpha   94.957
_cell_angle_beta   67.832
_cell_angle_gamma   119.647
_symmetry_Int_Tables_number   1
_cell_volume   337.015
_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  0.883  0.184  0.427  1.0
  Na  Na1  1  0.118  0.322  0.075  1.0
  Na  Na2  1  0.490  0.753  0.255  1.0
  Na  Na3  1  0.881  0.706  0.923  1.0
  Na  Na4  1  0.123  0.797  0.567  1.0
  Mn  Mn5  1  0.500  0.015  0.003  1.0
  Mn  Mn6  1  0.526  0.292  0.238  1.0
  Mn  Mn7  1  0.502  0.487  0.502  1.0
  Mn  Mn8  1  0.500  0.251  0.752  1.0
  Mn  Mn9  1  0.984  0.754  0.238  1.0
  Mn  Mn10  1  0.999  0.251  0.751  1.0
  Mn  Mn11  1  0.499  0.751  0.752  1.0
  O  O12  1  0.678  0.116  0.131  1.0
  O  O13  1  0.260  0.109  0.157  1.0
  O  O14  1  0.734  0.590  0.140  1.0
  O  O15  1  0.738  0.396  0.352  1.0
  O  O16  1  0.766  0.159  0.651  1.0
  O  O17  1  0.310  0.381  0.384  1.0
  O  O18  1  0.738  0.802  0.393  1.0
  O  O19  1  0.735  0.323  0.884  1.0
  O  O20  1  0.264  0.707  0.117  1.0
  O  O21  1  0.267  0.175  0.618  1.0
  O  O22  1  0.686  0.586  0.634  1.0
  O  O23  1  0.233  0.343  0.852  1.0
  O  O24  1  0.261  0.583  0.646  1.0
  O  O25  1  0.737  0.921  0.858  1.0
  O  O26  1  0.316  0.919  0.871  1.0
[/CIF]
.