The material described by Mn13Fe3O32 is trigonal omega-derived structured and crystallizes in the monoclinic C2/m space group. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(10), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, and  an edgeedge with one Fe(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(1), one O(3), one O(4), one O(7), one O(8), and one O(9) atom to form MnO6 octahedra that share  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and  an edgeedge with one Fe(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(8) and four equivalent O(9) atoms to form edge-sharing MnO6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(5), one O(7), two equivalent O(10), and two equivalent O(9) atoms to form MnO6 octahedra that share  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form FeO6 octahedra that share edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. In the second Fe site, Fe(2) is bonded to two equivalent O(6) and four equivalent O(10) atoms to form FeO6 octahedra that share edges with two equivalent Mn(5)O6 octahedra and edges with four equivalent Mn(2)O6 octahedra. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Mn(1), one Mn(3), and one Fe(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Mn(1), one Mn(2), and one Fe(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1), one Mn(2), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(3), and one Fe(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to two equivalent Mn(2) and one Fe(2) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Mn(4) and two equivalent Mn(3) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mn(3), one Mn(4), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(5), and one Fe(2) atom. is represented by the CIF card [CIF]
data_Mn13Fe3O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.301
_cell_length_b   8.301
_cell_length_c   10.126
_cell_angle_alpha   66.008
_cell_angle_beta   66.008
_cell_angle_gamma   89.495
_symmetry_Int_Tables_number   1
_cell_volume   571.996
_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
  Mn  Mn0  1  0.500  0.000  0.000  1.0
  Mn  Mn1  1  0.000  0.500  0.000  1.0
  Mn  Mn2  1  0.375  0.125  0.750  1.0
  Mn  Mn3  1  0.875  0.625  0.750  1.0
  Mn  Mn4  1  0.625  0.875  0.750  1.0
  Mn  Mn5  1  0.125  0.375  0.750  1.0
  Mn  Mn6  1  0.000  0.000  0.500  1.0
  Mn  Mn7  1  0.750  0.750  0.500  1.0
  Mn  Mn8  1  0.250  0.250  0.500  1.0
  Mn  Mn9  1  0.375  0.125  0.250  1.0
  Mn  Mn10  1  0.875  0.625  0.250  1.0
  Mn  Mn11  1  0.125  0.375  0.250  1.0
  Mn  Mn12  1  0.625  0.875  0.250  1.0
  Fe  Fe13  1  0.250  0.750  0.000  1.0
  Fe  Fe14  1  0.750  0.250  0.000  1.0
  Fe  Fe15  1  0.500  0.500  0.500  1.0
  O  O16  1  0.498  0.775  0.984  1.0
  O  O17  1  0.775  0.498  0.984  1.0
  O  O18  1  0.999  0.275  0.983  1.0
  O  O19  1  0.275  0.999  0.983  1.0
  O  O20  1  0.102  0.602  0.765  1.0
  O  O21  1  0.602  0.102  0.765  1.0
  O  O22  1  0.888  0.387  0.758  1.0
  O  O23  1  0.387  0.888  0.758  1.0
  O  O24  1  0.149  0.149  0.734  1.0
  O  O25  1  0.365  0.365  0.738  1.0
  O  O26  1  0.648  0.648  0.735  1.0
  O  O27  1  0.867  0.867  0.735  1.0
  O  O28  1  0.976  0.757  0.516  1.0
  O  O29  1  0.254  0.476  0.516  1.0
  O  O30  1  0.476  0.254  0.516  1.0
  O  O31  1  0.757  0.976  0.516  1.0
  O  O32  1  0.746  0.524  0.484  1.0
  O  O33  1  0.524  0.746  0.484  1.0
  O  O34  1  0.024  0.243  0.484  1.0
  O  O35  1  0.243  0.024  0.484  1.0
  O  O36  1  0.635  0.635  0.262  1.0
  O  O37  1  0.133  0.133  0.265  1.0
  O  O38  1  0.851  0.851  0.266  1.0
  O  O39  1  0.352  0.352  0.265  1.0
  O  O40  1  0.398  0.898  0.235  1.0
  O  O41  1  0.613  0.112  0.242  1.0
  O  O42  1  0.112  0.613  0.242  1.0
  O  O43  1  0.898  0.398  0.235  1.0
  O  O44  1  0.502  0.225  0.016  1.0
  O  O45  1  0.225  0.502  0.016  1.0
  O  O46  1  0.725  0.001  0.017  1.0
  O  O47  1  0.001  0.725  0.017  1.0
[/CIF]
.
The material described by Mn13Fe3O32 is trigonal omega-derived structured and crystallizes in the monoclinic C2/m space group. There are five inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form MnO6 octahedra that share edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and edges with two equivalent Fe(1)O6 octahedra. In the second Mn site, Mn(2) is bonded to one O(10), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form MnO6 octahedra that share  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, and  an edgeedge with one Fe(2)O6 octahedra. In the third Mn site, Mn(3) is bonded to one O(1), one O(3), one O(4), one O(7), one O(8), and one O(9) atom to form MnO6 octahedra that share  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra,  an edgeedge with one Mn(3)O6 octahedra,  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Mn(5)O6 octahedra, and  an edgeedge with one Fe(1)O6 octahedra. In the fourth Mn site, Mn(4) is bonded to two equivalent O(8) and four equivalent O(9) atoms to form edge-sharing MnO6 octahedra. In the fifth Mn site, Mn(5) is bonded to one O(5), one O(7), two equivalent O(10), and two equivalent O(9) atoms to form MnO6 octahedra that share  an edgeedge with one Mn(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. There are two inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form FeO6 octahedra that share edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Mn(3)O6 octahedra. In the second Fe site, Fe(2) is bonded to two equivalent O(6) and four equivalent O(10) atoms to form FeO6 octahedra that share edges with two equivalent Mn(5)O6 octahedra and edges with four equivalent Mn(2)O6 octahedra. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted T-shaped geometry to one Mn(1), one Mn(3), and one Fe(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Mn(1), one Mn(2), and one Fe(1) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mn(1), one Mn(2), and one Mn(3) atom. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(3), and one Fe(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(2) atoms. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to two equivalent Mn(2) and one Fe(2) atom. In the seventh O site, O(7) is bonded in a distorted T-shaped geometry to one Mn(5) and two equivalent Mn(3) atoms. In the eighth O site, O(8) is bonded in a distorted T-shaped geometry to one Mn(4) and two equivalent Mn(3) atoms. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mn(3), one Mn(4), and one Mn(5) atom. In the tenth O site, O(10) is bonded in a distorted T-shaped geometry to one Mn(2), one Mn(5), and one Fe(2) atom. is represented by the CIF card [CIF]
data_Mn13Fe3O32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.301
_cell_length_b   8.301
_cell_length_c   10.126
_cell_angle_alpha   66.008
_cell_angle_beta   66.008
_cell_angle_gamma   89.495
_symmetry_Int_Tables_number   1
_cell_volume   571.996
_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
  Mn  Mn0  1  0.500  0.000  0.000  1.0
  Mn  Mn1  1  0.000  0.500  0.000  1.0
  Mn  Mn2  1  0.375  0.125  0.750  1.0
  Mn  Mn3  1  0.875  0.625  0.750  1.0
  Mn  Mn4  1  0.625  0.875  0.750  1.0
  Mn  Mn5  1  0.125  0.375  0.750  1.0
  Mn  Mn6  1  0.000  0.000  0.500  1.0
  Mn  Mn7  1  0.750  0.750  0.500  1.0
  Mn  Mn8  1  0.250  0.250  0.500  1.0
  Mn  Mn9  1  0.375  0.125  0.250  1.0
  Mn  Mn10  1  0.875  0.625  0.250  1.0
  Mn  Mn11  1  0.125  0.375  0.250  1.0
  Mn  Mn12  1  0.625  0.875  0.250  1.0
  Fe  Fe13  1  0.250  0.750  0.000  1.0
  Fe  Fe14  1  0.750  0.250  0.000  1.0
  Fe  Fe15  1  0.500  0.500  0.500  1.0
  O  O16  1  0.498  0.775  0.984  1.0
  O  O17  1  0.775  0.498  0.984  1.0
  O  O18  1  0.999  0.275  0.983  1.0
  O  O19  1  0.275  0.999  0.983  1.0
  O  O20  1  0.102  0.602  0.765  1.0
  O  O21  1  0.602  0.102  0.765  1.0
  O  O22  1  0.888  0.387  0.758  1.0
  O  O23  1  0.387  0.888  0.758  1.0
  O  O24  1  0.149  0.149  0.734  1.0
  O  O25  1  0.365  0.365  0.738  1.0
  O  O26  1  0.648  0.648  0.735  1.0
  O  O27  1  0.867  0.867  0.735  1.0
  O  O28  1  0.976  0.757  0.516  1.0
  O  O29  1  0.254  0.476  0.516  1.0
  O  O30  1  0.476  0.254  0.516  1.0
  O  O31  1  0.757  0.976  0.516  1.0
  O  O32  1  0.746  0.524  0.484  1.0
  O  O33  1  0.524  0.746  0.484  1.0
  O  O34  1  0.024  0.243  0.484  1.0
  O  O35  1  0.243  0.024  0.484  1.0
  O  O36  1  0.635  0.635  0.262  1.0
  O  O37  1  0.133  0.133  0.265  1.0
  O  O38  1  0.851  0.851  0.266  1.0
  O  O39  1  0.352  0.352  0.265  1.0
  O  O40  1  0.398  0.898  0.235  1.0
  O  O41  1  0.613  0.112  0.242  1.0
  O  O42  1  0.112  0.613  0.242  1.0
  O  O43  1  0.898  0.398  0.235  1.0
  O  O44  1  0.502  0.225  0.016  1.0
  O  O45  1  0.225  0.502  0.016  1.0
  O  O46  1  0.725  0.001  0.017  1.0
  O  O47  1  0.001  0.725  0.017  1.0
[/CIF]
.