The compound described by Fe13O19 crystallizes in the monoclinic C2/m space group. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(5), two equivalent O(1), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O7 pentagonal bipyramids, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Fe site, Fe(2) is bonded to one O(4), one O(6), two equivalent O(8), and three equivalent O(3) atoms to form distorted FeO7 pentagonal bipyramids that share corners with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(5)O7 pentagonal bipyramids, and edges with four equivalent Fe(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. In the third Fe site, Fe(3) is bonded in a 7-coordinate geometry to one O(10), two equivalent O(2), two equivalent O(5), and two equivalent O(9) atoms. In the fourth Fe site, Fe(4) is bonded in a 8-coordinate geometry to one O(10), one O(6), two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms. In the fifth Fe site, Fe(5) is bonded to one O(8), two equivalent O(4), two equivalent O(7), and two equivalent O(9) atoms to form distorted FeO7 pentagonal bipyramids that share corners with two equivalent Fe(6)O6 octahedra, edges with two equivalent Fe(2)O7 pentagonal bipyramids, and faces with two equivalent Fe(5)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 69°. In the sixth Fe site, Fe(6) is bonded to two equivalent O(9) and four equivalent O(10) atoms to form FeO6 octahedra that share corners with four equivalent Fe(5)O7 pentagonal bipyramids and edges with two equivalent Fe(6)O6 octahedra. In the seventh Fe site, Fe(7) is bonded in a 8-coordinate geometry to one O(6), two equivalent O(2), two equivalent O(8), and three equivalent O(7) atoms. There are ten inequivalent O sites. In the first O site, O(5) is bonded to one Fe(1), two equivalent Fe(3), and two equivalent Fe(4) atoms to form distorted OFe5 trigonal bipyramids that share corners with two equivalent O(4)Fe5 square pyramids, corners with two equivalent O(3)Fe5 trigonal bipyramids, corners with two equivalent O(9)Fe5 trigonal bipyramids,  an edgeedge with one O(4)Fe5 square pyramid,  an edgeedge with one O(3)Fe5 trigonal bipyramid,  an edgeedge with one O(9)Fe5 trigonal bipyramid, edges with two equivalent O(5)Fe5 trigonal bipyramids, and edges with two equivalent O(10)Fe4 trigonal pyramids. In the second O site, O(6) is bonded in a 3-coordinate geometry to one Fe(2), one Fe(4), one Fe(7), and two equivalent Fe(1) atoms. In the third O site, O(7) is bonded to two equivalent Fe(5) and three equivalent Fe(7) atoms to form a mixture of distorted edge and corner-sharing OFe5 square pyramids. In the fourth O site, O(8) is bonded to one Fe(5), two equivalent Fe(2), and two equivalent Fe(7) atoms to form a mixture of edge and corner-sharing OFe5 square pyramids. In the fifth O site, O(9) is bonded to one Fe(6), two equivalent Fe(3), and two equivalent Fe(5) atoms to form distorted OFe5 trigonal bipyramids that share corners with two equivalent O(4)Fe5 square pyramids, corners with two equivalent O(7)Fe5 square pyramids, corners with two equivalent O(8)Fe5 square pyramids,  a cornercorner with one O(9)Fe5 trigonal bipyramid, corners with two equivalent O(5)Fe5 trigonal bipyramids, corners with two equivalent O(10)Fe4 trigonal pyramids,  an edgeedge with one O(4)Fe5 square pyramid,  an edgeedge with one O(7)Fe5 square pyramid,  an edgeedge with one O(5)Fe5 trigonal bipyramid, edges with two equivalent O(9)Fe5 trigonal bipyramids, and edges with two equivalent O(10)Fe4 trigonal pyramids. In the sixth O site, O(10) is bonded to one Fe(3), one Fe(4), and two equivalent Fe(6) atoms to form OFe4 trigonal pyramids that share corners with two equivalent O(4)Fe5 square pyramids, corners with two equivalent O(3)Fe5 trigonal bipyramids, corners with two equivalent O(9)Fe5 trigonal bipyramids, corners with four equivalent O(10)Fe4 trigonal pyramids, edges with two equivalent O(5)Fe5 trigonal bipyramids, edges with two equivalent O(9)Fe5 trigonal bipyramids, and  an edgeedge with one O(10)Fe4 trigonal pyramid. In the seventh O site, O(1) is bonded in a square co-planar geometry to four equivalent Fe(1) atoms. In the eighth O site, O(2) is bonded in a 5-coordinate geometry to one Fe(1), two equivalent Fe(3), and two equivalent Fe(7) atoms. In the ninth O site, O(3) is bonded to two equivalent Fe(4) and three equivalent Fe(2) atoms to form distorted OFe5 trigonal bipyramids that share corners with four equivalent O(4)Fe5 square pyramids, corners with four equivalent O(8)Fe5 square pyramids, corners with two equivalent O(5)Fe5 trigonal bipyramids, corners with two equivalent O(10)Fe4 trigonal pyramids,  an edgeedge with one O(8)Fe5 square pyramid,  an edgeedge with one O(5)Fe5 trigonal bipyramid, edges with four equivalent O(3)Fe5 trigonal bipyramids, and  a faceface with one O(4)Fe5 square pyramid. In the tenth O site, O(4) is bonded to one Fe(2), two equivalent Fe(4), and two equivalent Fe(5) atoms to form distorted OFe5 square pyramids that share corners with two equivalent O(7)Fe5 square pyramids, corners with two equivalent O(5)Fe5 trigonal bipyramids, corners with two equivalent O(9)Fe5 trigonal bipyramids, corners with four equivalent O(3)Fe5 trigonal bipyramids, corners with two equivalent O(10)Fe4 trigonal pyramids,  an edgeedge with one O(7)Fe5 square pyramid, edges with two equivalent O(4)Fe5 square pyramids, edges with two equivalent O(8)Fe5 square pyramids,  an edgeedge with one O(5)Fe5 trigonal bipyramid,  an edgeedge with one O(9)Fe5 trigonal bipyramid, and  a faceface with one O(3)Fe5 trigonal bipyramid. is represented by the CIF card [CIF]
data_Fe13O19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.191
_cell_length_b   11.191
_cell_length_c   11.021
_cell_angle_alpha   61.793
_cell_angle_beta   61.793
_cell_angle_gamma   14.945
_symmetry_Int_Tables_number   1
_cell_volume   312.890
_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
  Fe  Fe0  1  0.926  0.926  0.547  1.0
  Fe  Fe1  1  0.074  0.074  0.453  1.0
  Fe  Fe2  1  0.264  0.264  0.625  1.0
  Fe  Fe3  1  0.736  0.736  0.375  1.0
  Fe  Fe4  1  0.467  0.467  0.781  1.0
  Fe  Fe5  1  0.533  0.533  0.219  1.0
  Fe  Fe6  1  0.618  0.618  0.668  1.0
  Fe  Fe7  1  0.382  0.382  0.332  1.0
  Fe  Fe8  1  0.344  0.344  0.081  1.0
  Fe  Fe9  1  0.656  0.656  0.919  1.0
  Fe  Fe10  1  0.000  0.000  0.000  1.0
  Fe  Fe11  1  0.303  0.303  0.851  1.0
  Fe  Fe12  1  0.697  0.697  0.149  1.0
  O  O13  1  0.500  0.500  0.500  1.0
  O  O14  1  0.911  0.911  0.741  1.0
  O  O15  1  0.089  0.089  0.259  1.0
  O  O16  1  0.804  0.804  0.463  1.0
  O  O17  1  0.196  0.196  0.537  1.0
  O  O18  1  0.161  0.161  0.779  1.0
  O  O19  1  0.839  0.839  0.221  1.0
  O  O20  1  0.949  0.949  0.342  1.0
  O  O21  1  0.051  0.051  0.658  1.0
  O  O22  1  0.363  0.363  0.579  1.0
  O  O23  1  0.637  0.637  0.421  1.0
  O  O24  1  0.801  0.801  0.998  1.0
  O  O25  1  0.199  0.199  0.002  1.0
  O  O26  1  0.238  0.238  0.231  1.0
  O  O27  1  0.762  0.762  0.769  1.0
  O  O28  1  0.077  0.077  0.047  1.0
  O  O29  1  0.923  0.923  0.953  1.0
  O  O30  1  0.461  0.461  0.141  1.0
  O  O31  1  0.539  0.539  0.859  1.0
[/CIF]
.
The compound described by Fe13O19 crystallizes in the monoclinic C2/m space group. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(2), one O(5), two equivalent O(1), and two equivalent O(6) atoms to form FeO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(2)O7 pentagonal bipyramids, and edges with three equivalent Fe(1)O6 octahedra. The corner-sharing octahedra are not tilted. In the second Fe site, Fe(2) is bonded to one O(4), one O(6), two equivalent O(8), and three equivalent O(3) atoms to form distorted FeO7 pentagonal bipyramids that share corners with two equivalent Fe(1)O6 octahedra, edges with two equivalent Fe(5)O7 pentagonal bipyramids, and edges with four equivalent Fe(2)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. In the third Fe site, Fe(3) is bonded in a 7-coordinate geometry to one O(10), two equivalent O(2), two equivalent O(5), and two equivalent O(9) atoms. In the fourth Fe site, Fe(4) is bonded in a 8-coordinate geometry to one O(10), one O(6), two equivalent O(3), two equivalent O(4), and two equivalent O(5) atoms. In the fifth Fe site, Fe(5) is bonded to one O(8), two equivalent O(4), two equivalent O(7), and two equivalent O(9) atoms to form distorted FeO7 pentagonal bipyramids that share corners with two equivalent Fe(6)O6 octahedra, edges with two equivalent Fe(2)O7 pentagonal bipyramids, and faces with two equivalent Fe(5)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 69°. In the sixth Fe site, Fe(6) is bonded to two equivalent O(9) and four equivalent O(10) atoms to form FeO6 octahedra that share corners with four equivalent Fe(5)O7 pentagonal bipyramids and edges with two equivalent Fe(6)O6 octahedra. In the seventh Fe site, Fe(7) is bonded in a 8-coordinate geometry to one O(6), two equivalent O(2), two equivalent O(8), and three equivalent O(7) atoms. There are ten inequivalent O sites. In the first O site, O(5) is bonded to one Fe(1), two equivalent Fe(3), and two equivalent Fe(4) atoms to form distorted OFe5 trigonal bipyramids that share corners with two equivalent O(4)Fe5 square pyramids, corners with two equivalent O(3)Fe5 trigonal bipyramids, corners with two equivalent O(9)Fe5 trigonal bipyramids,  an edgeedge with one O(4)Fe5 square pyramid,  an edgeedge with one O(3)Fe5 trigonal bipyramid,  an edgeedge with one O(9)Fe5 trigonal bipyramid, edges with two equivalent O(5)Fe5 trigonal bipyramids, and edges with two equivalent O(10)Fe4 trigonal pyramids. In the second O site, O(6) is bonded in a 3-coordinate geometry to one Fe(2), one Fe(4), one Fe(7), and two equivalent Fe(1) atoms. In the third O site, O(7) is bonded to two equivalent Fe(5) and three equivalent Fe(7) atoms to form a mixture of distorted edge and corner-sharing OFe5 square pyramids. In the fourth O site, O(8) is bonded to one Fe(5), two equivalent Fe(2), and two equivalent Fe(7) atoms to form a mixture of edge and corner-sharing OFe5 square pyramids. In the fifth O site, O(9) is bonded to one Fe(6), two equivalent Fe(3), and two equivalent Fe(5) atoms to form distorted OFe5 trigonal bipyramids that share corners with two equivalent O(4)Fe5 square pyramids, corners with two equivalent O(7)Fe5 square pyramids, corners with two equivalent O(8)Fe5 square pyramids,  a cornercorner with one O(9)Fe5 trigonal bipyramid, corners with two equivalent O(5)Fe5 trigonal bipyramids, corners with two equivalent O(10)Fe4 trigonal pyramids,  an edgeedge with one O(4)Fe5 square pyramid,  an edgeedge with one O(7)Fe5 square pyramid,  an edgeedge with one O(5)Fe5 trigonal bipyramid, edges with two equivalent O(9)Fe5 trigonal bipyramids, and edges with two equivalent O(10)Fe4 trigonal pyramids. In the sixth O site, O(10) is bonded to one Fe(3), one Fe(4), and two equivalent Fe(6) atoms to form OFe4 trigonal pyramids that share corners with two equivalent O(4)Fe5 square pyramids, corners with two equivalent O(3)Fe5 trigonal bipyramids, corners with two equivalent O(9)Fe5 trigonal bipyramids, corners with four equivalent O(10)Fe4 trigonal pyramids, edges with two equivalent O(5)Fe5 trigonal bipyramids, edges with two equivalent O(9)Fe5 trigonal bipyramids, and  an edgeedge with one O(10)Fe4 trigonal pyramid. In the seventh O site, O(1) is bonded in a square co-planar geometry to four equivalent Fe(1) atoms. In the eighth O site, O(2) is bonded in a 5-coordinate geometry to one Fe(1), two equivalent Fe(3), and two equivalent Fe(7) atoms. In the ninth O site, O(3) is bonded to two equivalent Fe(4) and three equivalent Fe(2) atoms to form distorted OFe5 trigonal bipyramids that share corners with four equivalent O(4)Fe5 square pyramids, corners with four equivalent O(8)Fe5 square pyramids, corners with two equivalent O(5)Fe5 trigonal bipyramids, corners with two equivalent O(10)Fe4 trigonal pyramids,  an edgeedge with one O(8)Fe5 square pyramid,  an edgeedge with one O(5)Fe5 trigonal bipyramid, edges with four equivalent O(3)Fe5 trigonal bipyramids, and  a faceface with one O(4)Fe5 square pyramid. In the tenth O site, O(4) is bonded to one Fe(2), two equivalent Fe(4), and two equivalent Fe(5) atoms to form distorted OFe5 square pyramids that share corners with two equivalent O(7)Fe5 square pyramids, corners with two equivalent O(5)Fe5 trigonal bipyramids, corners with two equivalent O(9)Fe5 trigonal bipyramids, corners with four equivalent O(3)Fe5 trigonal bipyramids, corners with two equivalent O(10)Fe4 trigonal pyramids,  an edgeedge with one O(7)Fe5 square pyramid, edges with two equivalent O(4)Fe5 square pyramids, edges with two equivalent O(8)Fe5 square pyramids,  an edgeedge with one O(5)Fe5 trigonal bipyramid,  an edgeedge with one O(9)Fe5 trigonal bipyramid, and  a faceface with one O(3)Fe5 trigonal bipyramid. is represented by the CIF card [CIF]
data_Fe13O19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.191
_cell_length_b   11.191
_cell_length_c   11.021
_cell_angle_alpha   61.793
_cell_angle_beta   61.793
_cell_angle_gamma   14.945
_symmetry_Int_Tables_number   1
_cell_volume   312.890
_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
  Fe  Fe0  1  0.926  0.926  0.547  1.0
  Fe  Fe1  1  0.074  0.074  0.453  1.0
  Fe  Fe2  1  0.264  0.264  0.625  1.0
  Fe  Fe3  1  0.736  0.736  0.375  1.0
  Fe  Fe4  1  0.467  0.467  0.781  1.0
  Fe  Fe5  1  0.533  0.533  0.219  1.0
  Fe  Fe6  1  0.618  0.618  0.668  1.0
  Fe  Fe7  1  0.382  0.382  0.332  1.0
  Fe  Fe8  1  0.344  0.344  0.081  1.0
  Fe  Fe9  1  0.656  0.656  0.919  1.0
  Fe  Fe10  1  0.000  0.000  0.000  1.0
  Fe  Fe11  1  0.303  0.303  0.851  1.0
  Fe  Fe12  1  0.697  0.697  0.149  1.0
  O  O13  1  0.500  0.500  0.500  1.0
  O  O14  1  0.911  0.911  0.741  1.0
  O  O15  1  0.089  0.089  0.259  1.0
  O  O16  1  0.804  0.804  0.463  1.0
  O  O17  1  0.196  0.196  0.537  1.0
  O  O18  1  0.161  0.161  0.779  1.0
  O  O19  1  0.839  0.839  0.221  1.0
  O  O20  1  0.949  0.949  0.342  1.0
  O  O21  1  0.051  0.051  0.658  1.0
  O  O22  1  0.363  0.363  0.579  1.0
  O  O23  1  0.637  0.637  0.421  1.0
  O  O24  1  0.801  0.801  0.998  1.0
  O  O25  1  0.199  0.199  0.002  1.0
  O  O26  1  0.238  0.238  0.231  1.0
  O  O27  1  0.762  0.762  0.769  1.0
  O  O28  1  0.077  0.077  0.047  1.0
  O  O29  1  0.923  0.923  0.953  1.0
  O  O30  1  0.461  0.461  0.141  1.0
  O  O31  1  0.539  0.539  0.859  1.0
[/CIF]
.