The material structure described by Ti5Fe11O24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(22), one O(3), one O(5), and one O(7) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, corners with three equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(11)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-63°. In the second Ti site, Ti(2) is bonded to one O(11), one O(13), one O(4), one O(6), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(4)O6 octahedra, corners with three equivalent Fe(8)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Fe(6)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-61°. In the third Ti site, Ti(3) is bonded to one O(10), one O(12), one O(15), one O(17), one O(19), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(10)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Fe(8)O6 octahedra, and  a faceface with one Fe(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. In the fourth Ti site, Ti(4) is bonded to one O(12), one O(14), one O(16), one O(19), one O(21), and one O(23) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(11)O6 octahedra, corners with two equivalent Fe(10)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, edges with two equivalent Fe(7)O6 octahedra, and  a faceface with one Fe(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-65°. In the fifth Ti site, Ti(5) is bonded to one O(18), one O(20), one O(22), one O(24), one O(3), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(11)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Fe(9)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and  a faceface with one Fe(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-59°. There are eleven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(20), one O(22), one O(3), one O(5), and one O(7) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(9)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Fe(11)O6 octahedra, corners with three equivalent Fe(3)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Ti(5)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-64°. In the second Fe site, Fe(2) is bonded to one O(11), one O(13), one O(2), one O(4), one O(6), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Fe(3)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. In the third Fe site, Fe(3) is bonded to one O(1), one O(2), one O(4), one O(5), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  a faceface with one Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. In the fourth Fe site, Fe(4) is bonded to one O(1), one O(11), one O(2), one O(4), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-66°. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(12), one O(14), one O(15), one O(17), and one O(19) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Ti(4)O6 octahedra, corners with three equivalent Fe(8)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, edges with two equivalent Fe(10)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-62°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(11), one O(13), one O(15), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(4)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and  a faceface with one Fe(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-61°. In the seventh Fe site, Fe(7) is bonded to one O(14), one O(16), one O(18), one O(21), one O(23), and one O(24) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(9)O6 octahedra, corners with three equivalent Fe(10)O6 octahedra, corners with three equivalent Fe(11)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and  a faceface with one Fe(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-62°. In the eighth Fe site, Fe(8) is bonded to one O(10), one O(13), one O(15), one O(17), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(10)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and  a faceface with one Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-62°. In the ninth Fe site, Fe(9) is bonded to one O(16), one O(18), one O(20), one O(21), one O(23), and one O(24) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra, corners with three equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(10)O6 octahedra, edges with two equivalent Fe(11)O6 octahedra, and  a faceface with one Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-64°. In the tenth Fe site, Fe(10) is bonded to one O(12), one O(14), one O(16), one O(17), one O(19), and one O(21) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra, corners with three equivalent Fe(7)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, edges with two equivalent Fe(5)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-65°. In the eleventh Fe site, Fe(11) is bonded to one O(18), one O(20), one O(22), one O(23), one O(24), and one O(3) atom to form FeO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Fe(9)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-58°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Ti(1), one Fe(1), one Fe(3), and one Fe(4) atom. In the second O site, O(2) is bonded in a distorted see-saw-like geometry to one Ti(1), one Fe(2), one Fe(3), and one Fe(4) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(5), one Fe(1), and one Fe(11) atom. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Ti(2), one Fe(2), one Fe(3), and one Fe(4) atom. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(5), one Fe(1), and one Fe(3) atom. In the sixth O site, O(6) is bonded in a distorted see-saw-like geometry to one Ti(2), one Fe(2), one Fe(6), and one Fe(8) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Ti(1), one Fe(1), one Fe(3), and one Fe(4) atom. In the eighth O site, O(8) is bonded to one Ti(2), one Ti(3), one Fe(6), and one Fe(8) atom to form a mixture of distorted corner and edge-sharing OTi2Fe2 trigonal pyramids. In the ninth O site, O(9) is bonded in a distorted see-saw-like geometry to one Ti(2), one Fe(2), one Fe(3), and one Fe(4) atom. In the tenth O site, O(10) is bonded to one Ti(3), one Fe(5), one Fe(6), and one Fe(8) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(11)TiFe3 trigonal pyramid,  a cornercorner with one O(14)TiFe3 trigonal pyramid,  a cornercorner with one O(17)TiFe3 trigonal pyramid, corners with three equivalent O(8)Ti2Fe2 trigonal pyramids,  an edgeedge with one O(17)TiFe3 trigonal pyramid, and edges with two equivalent O(15)TiFe3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Ti(2), one Fe(2), one Fe(4), and one Fe(6) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(10)TiFe3 trigonal pyramid,  a cornercorner with one O(15)TiFe3 trigonal pyramid, and  an edgeedge with one O(8)Ti2Fe2 trigonal pyramid. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Ti(3), one Ti(4), one Fe(10), and one Fe(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Fe(2), one Fe(6), and one Fe(8) atom. In the fourteenth O site, O(14) is bonded to one Ti(4), one Fe(10), one Fe(5), and one Fe(7) atom to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the fifteenth O site, O(15) is bonded to one Ti(3), one Fe(5), one Fe(6), and one Fe(8) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(8)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(11)TiFe3 trigonal pyramid,  a cornercorner with one O(14)TiFe3 trigonal pyramid, corners with three equivalent O(17)TiFe3 trigonal pyramids,  an edgeedge with one O(8)Ti2Fe2 trigonal pyramid, and edges with two equivalent O(10)TiFe3 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a distorted see-saw-like geometry to one Ti(4), one Fe(10), one Fe(7), and one Fe(9) atom. In the seventeenth O site, O(17) is bonded to one Ti(3), one Fe(10), one Fe(5), and one Fe(8) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(10)TiFe3 trigonal pyramid,  a cornercorner with one O(21)TiFe3 trigonal pyramid, corners with three equivalent O(15)TiFe3 trigonal pyramids,  an edgeedge with one O(8)Ti2Fe2 trigonal pyramid,  an edgeedge with one O(10)TiFe3 trigonal pyramid, and  an edgeedge with one O(14)TiFe3 trigonal pyramid. In the eighteenth O site, O(18) is bonded in a distorted see-saw-like geometry to one Ti(5), one Fe(11), one Fe(7), and one Fe(9) atom. In the nineteenth O site, O(19) is bonded in a distorted see-saw-like geometry to one Ti(3), one Ti(4), one Fe(10), and one Fe(5) atom. In the twentieth O site, O(20) is bonded in a see-saw-like geometry to one Ti(5), one Fe(1), one Fe(11), and one Fe(9) atom. In the twenty-first O site, O(21) is bonded to one Ti(4), one Fe(10), one Fe(7), and one Fe(9) atom to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the twenty-second O site, O(22) is bonded to one Ti(1), one Ti(5), one Fe(1), and one Fe(11) atom to form distorted corner-sharing OTi2Fe2 trigonal pyramids. In the twenty-third O site, O(23) is bonded to one Ti(4), one Fe(11), one Fe(7), and one Fe(9) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(22)Ti2Fe2 trigonal pyramid, corners with three equivalent O(21)TiFe3 trigonal pyramids, and  an edgeedge with one O(14)TiFe3 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded in a distorted see-saw-like geometry to one Ti(5), one Fe(11), one Fe(7), and one Fe(9) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti5Fe11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.164
_cell_length_b   5.528
_cell_length_c   17.213
_cell_angle_alpha   87.990
_cell_angle_beta   98.101
_cell_angle_gamma   117.126
_symmetry_Int_Tables_number   1
_cell_volume   432.713
_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
  Ti  Ti0  1  0.456  0.025  0.905  1.0
  Ti  Ti1  1  0.964  0.288  0.667  1.0
  Ti  Ti2  1  0.790  0.095  0.465  1.0
  Ti  Ti3  1  0.714  0.157  0.289  1.0
  Ti  Ti4  1  0.211  0.398  0.036  1.0
  Fe  Fe5  1  0.782  0.609  0.966  1.0
  Fe  Fe6  1  0.277  0.851  0.712  1.0
  Fe  Fe7  1  0.042  0.226  0.841  1.0
  Fe  Fe8  1  0.717  0.651  0.786  1.0
  Fe  Fe9  1  0.467  0.520  0.410  1.0
  Fe  Fe10  1  0.536  0.476  0.587  1.0
  Fe  Fe11  1  0.281  0.354  0.213  1.0
  Fe  Fe12  1  0.224  0.901  0.538  1.0
  Fe  Fe13  1  0.970  0.775  0.164  1.0
  Fe  Fe14  1  0.034  0.732  0.341  1.0
  Fe  Fe15  1  0.524  0.970  0.088  1.0
  O  O16  1  0.053  0.854  0.884  1.0
  O  O17  1  0.560  0.917  0.819  1.0
  O  O18  1  0.506  0.778  0.985  1.0
  O  O19  1  0.952  0.479  0.758  1.0
  O  O20  1  0.940  0.298  0.946  1.0
  O  O21  1  0.552  0.128  0.636  1.0
  O  O22  1  0.503  0.382  0.862  1.0
  O  O23  1  0.068  0.194  0.563  1.0
  O  O24  1  0.001  0.018  0.730  1.0
  O  O25  1  0.476  0.737  0.514  1.0
  O  O26  1  0.424  0.549  0.687  1.0
  O  O27  1  1.000  0.340  0.391  1.0
  O  O28  1  0.970  0.634  0.608  1.0
  O  O29  1  0.564  0.424  0.307  1.0
  O  O30  1  0.538  0.246  0.488  1.0
  O  O31  1  0.959  0.003  0.258  1.0
  O  O32  1  0.938  0.830  0.443  1.0
  O  O33  1  0.533  0.613  0.136  1.0
  O  O34  1  0.501  0.908  0.359  1.0
  O  O35  1  0.082  0.686  0.069  1.0
  O  O36  1  0.029  0.515  0.237  1.0
  O  O37  1  0.450  0.234  0.016  1.0
  O  O38  1  0.434  0.061  0.190  1.0
  O  O39  1  0.977  0.144  0.106  1.0
[/CIF]
.
The material structure described by Ti5Fe11O24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(22), one O(3), one O(5), and one O(7) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, corners with three equivalent Fe(4)O6 octahedra,  an edgeedge with one Fe(11)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-63°. In the second Ti site, Ti(2) is bonded to one O(11), one O(13), one O(4), one O(6), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra, corners with three equivalent Fe(4)O6 octahedra, corners with three equivalent Fe(8)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, edges with two equivalent Fe(6)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-61°. In the third Ti site, Ti(3) is bonded to one O(10), one O(12), one O(15), one O(17), one O(19), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(10)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Fe(8)O6 octahedra, and  a faceface with one Fe(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. In the fourth Ti site, Ti(4) is bonded to one O(12), one O(14), one O(16), one O(19), one O(21), and one O(23) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(11)O6 octahedra, corners with two equivalent Fe(10)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra, corners with three equivalent Fe(9)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, edges with two equivalent Fe(7)O6 octahedra, and  a faceface with one Fe(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-65°. In the fifth Ti site, Ti(5) is bonded to one O(18), one O(20), one O(22), one O(24), one O(3), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra, corners with two equivalent Fe(11)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Fe(9)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, and  a faceface with one Fe(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-59°. There are eleven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(20), one O(22), one O(3), one O(5), and one O(7) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(9)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Fe(11)O6 octahedra, corners with three equivalent Fe(3)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra, edges with two equivalent Ti(5)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-64°. In the second Fe site, Fe(2) is bonded to one O(11), one O(13), one O(2), one O(4), one O(6), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Fe(3)O6 octahedra, corners with three equivalent Fe(6)O6 octahedra,  an edgeedge with one Fe(8)O6 octahedra, edges with two equivalent Fe(4)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-63°. In the third Fe site, Fe(3) is bonded to one O(1), one O(2), one O(4), one O(5), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and  a faceface with one Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 54-66°. In the fourth Fe site, Fe(4) is bonded to one O(1), one O(11), one O(2), one O(4), one O(7), and one O(9) atom to form FeO6 octahedra that share  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-66°. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(12), one O(14), one O(15), one O(17), and one O(19) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with three equivalent Ti(4)O6 octahedra, corners with three equivalent Fe(8)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, edges with two equivalent Fe(10)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-62°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(11), one O(13), one O(15), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(4)O6 octahedra, corners with two equivalent Fe(8)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra, corners with three equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and  a faceface with one Fe(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-61°. In the seventh Fe site, Fe(7) is bonded to one O(14), one O(16), one O(18), one O(21), one O(23), and one O(24) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(5)O6 octahedra, corners with two equivalent Fe(9)O6 octahedra, corners with three equivalent Fe(10)O6 octahedra, corners with three equivalent Fe(11)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and  a faceface with one Fe(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-62°. In the eighth Fe site, Fe(8) is bonded to one O(10), one O(13), one O(15), one O(17), one O(6), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(10)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, corners with three equivalent Fe(5)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and  a faceface with one Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-62°. In the ninth Fe site, Fe(9) is bonded to one O(16), one O(18), one O(20), one O(21), one O(23), and one O(24) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra, corners with three equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(10)O6 octahedra, edges with two equivalent Fe(11)O6 octahedra, and  a faceface with one Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-64°. In the tenth Fe site, Fe(10) is bonded to one O(12), one O(14), one O(16), one O(17), one O(19), and one O(21) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(3)O6 octahedra, corners with three equivalent Fe(7)O6 octahedra,  an edgeedge with one Fe(9)O6 octahedra, edges with two equivalent Fe(5)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-65°. In the eleventh Fe site, Fe(11) is bonded to one O(18), one O(20), one O(22), one O(23), one O(24), and one O(3) atom to form FeO6 octahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with three equivalent Fe(1)O6 octahedra, corners with three equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Fe(9)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-58°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted see-saw-like geometry to one Ti(1), one Fe(1), one Fe(3), and one Fe(4) atom. In the second O site, O(2) is bonded in a distorted see-saw-like geometry to one Ti(1), one Fe(2), one Fe(3), and one Fe(4) atom. In the third O site, O(3) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(5), one Fe(1), and one Fe(11) atom. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Ti(2), one Fe(2), one Fe(3), and one Fe(4) atom. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(5), one Fe(1), and one Fe(3) atom. In the sixth O site, O(6) is bonded in a distorted see-saw-like geometry to one Ti(2), one Fe(2), one Fe(6), and one Fe(8) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Ti(1), one Fe(1), one Fe(3), and one Fe(4) atom. In the eighth O site, O(8) is bonded to one Ti(2), one Ti(3), one Fe(6), and one Fe(8) atom to form a mixture of distorted corner and edge-sharing OTi2Fe2 trigonal pyramids. In the ninth O site, O(9) is bonded in a distorted see-saw-like geometry to one Ti(2), one Fe(2), one Fe(3), and one Fe(4) atom. In the tenth O site, O(10) is bonded to one Ti(3), one Fe(5), one Fe(6), and one Fe(8) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(11)TiFe3 trigonal pyramid,  a cornercorner with one O(14)TiFe3 trigonal pyramid,  a cornercorner with one O(17)TiFe3 trigonal pyramid, corners with three equivalent O(8)Ti2Fe2 trigonal pyramids,  an edgeedge with one O(17)TiFe3 trigonal pyramid, and edges with two equivalent O(15)TiFe3 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Ti(2), one Fe(2), one Fe(4), and one Fe(6) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(10)TiFe3 trigonal pyramid,  a cornercorner with one O(15)TiFe3 trigonal pyramid, and  an edgeedge with one O(8)Ti2Fe2 trigonal pyramid. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Ti(3), one Ti(4), one Fe(10), and one Fe(5) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Fe(2), one Fe(6), and one Fe(8) atom. In the fourteenth O site, O(14) is bonded to one Ti(4), one Fe(10), one Fe(5), and one Fe(7) atom to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the fifteenth O site, O(15) is bonded to one Ti(3), one Fe(5), one Fe(6), and one Fe(8) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(8)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(11)TiFe3 trigonal pyramid,  a cornercorner with one O(14)TiFe3 trigonal pyramid, corners with three equivalent O(17)TiFe3 trigonal pyramids,  an edgeedge with one O(8)Ti2Fe2 trigonal pyramid, and edges with two equivalent O(10)TiFe3 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a distorted see-saw-like geometry to one Ti(4), one Fe(10), one Fe(7), and one Fe(9) atom. In the seventeenth O site, O(17) is bonded to one Ti(3), one Fe(10), one Fe(5), and one Fe(8) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(10)TiFe3 trigonal pyramid,  a cornercorner with one O(21)TiFe3 trigonal pyramid, corners with three equivalent O(15)TiFe3 trigonal pyramids,  an edgeedge with one O(8)Ti2Fe2 trigonal pyramid,  an edgeedge with one O(10)TiFe3 trigonal pyramid, and  an edgeedge with one O(14)TiFe3 trigonal pyramid. In the eighteenth O site, O(18) is bonded in a distorted see-saw-like geometry to one Ti(5), one Fe(11), one Fe(7), and one Fe(9) atom. In the nineteenth O site, O(19) is bonded in a distorted see-saw-like geometry to one Ti(3), one Ti(4), one Fe(10), and one Fe(5) atom. In the twentieth O site, O(20) is bonded in a see-saw-like geometry to one Ti(5), one Fe(1), one Fe(11), and one Fe(9) atom. In the twenty-first O site, O(21) is bonded to one Ti(4), one Fe(10), one Fe(7), and one Fe(9) atom to form a mixture of distorted corner and edge-sharing OTiFe3 trigonal pyramids. In the twenty-second O site, O(22) is bonded to one Ti(1), one Ti(5), one Fe(1), and one Fe(11) atom to form distorted corner-sharing OTi2Fe2 trigonal pyramids. In the twenty-third O site, O(23) is bonded to one Ti(4), one Fe(11), one Fe(7), and one Fe(9) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(22)Ti2Fe2 trigonal pyramid, corners with three equivalent O(21)TiFe3 trigonal pyramids, and  an edgeedge with one O(14)TiFe3 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded in a distorted see-saw-like geometry to one Ti(5), one Fe(11), one Fe(7), and one Fe(9) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti5Fe11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.164
_cell_length_b   5.528
_cell_length_c   17.213
_cell_angle_alpha   87.990
_cell_angle_beta   98.101
_cell_angle_gamma   117.126
_symmetry_Int_Tables_number   1
_cell_volume   432.713
_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
  Ti  Ti0  1  0.456  0.025  0.905  1.0
  Ti  Ti1  1  0.964  0.288  0.667  1.0
  Ti  Ti2  1  0.790  0.095  0.465  1.0
  Ti  Ti3  1  0.714  0.157  0.289  1.0
  Ti  Ti4  1  0.211  0.398  0.036  1.0
  Fe  Fe5  1  0.782  0.609  0.966  1.0
  Fe  Fe6  1  0.277  0.851  0.712  1.0
  Fe  Fe7  1  0.042  0.226  0.841  1.0
  Fe  Fe8  1  0.717  0.651  0.786  1.0
  Fe  Fe9  1  0.467  0.520  0.410  1.0
  Fe  Fe10  1  0.536  0.476  0.587  1.0
  Fe  Fe11  1  0.281  0.354  0.213  1.0
  Fe  Fe12  1  0.224  0.901  0.538  1.0
  Fe  Fe13  1  0.970  0.775  0.164  1.0
  Fe  Fe14  1  0.034  0.732  0.341  1.0
  Fe  Fe15  1  0.524  0.970  0.088  1.0
  O  O16  1  0.053  0.854  0.884  1.0
  O  O17  1  0.560  0.917  0.819  1.0
  O  O18  1  0.506  0.778  0.985  1.0
  O  O19  1  0.952  0.479  0.758  1.0
  O  O20  1  0.940  0.298  0.946  1.0
  O  O21  1  0.552  0.128  0.636  1.0
  O  O22  1  0.503  0.382  0.862  1.0
  O  O23  1  0.068  0.194  0.563  1.0
  O  O24  1  0.001  0.018  0.730  1.0
  O  O25  1  0.476  0.737  0.514  1.0
  O  O26  1  0.424  0.549  0.687  1.0
  O  O27  1  1.000  0.340  0.391  1.0
  O  O28  1  0.970  0.634  0.608  1.0
  O  O29  1  0.564  0.424  0.307  1.0
  O  O30  1  0.538  0.246  0.488  1.0
  O  O31  1  0.959  0.003  0.258  1.0
  O  O32  1  0.938  0.830  0.443  1.0
  O  O33  1  0.533  0.613  0.136  1.0
  O  O34  1  0.501  0.908  0.359  1.0
  O  O35  1  0.082  0.686  0.069  1.0
  O  O36  1  0.029  0.515  0.237  1.0
  O  O37  1  0.450  0.234  0.016  1.0
  O  O38  1  0.434  0.061  0.190  1.0
  O  O39  1  0.977  0.144  0.106  1.0
[/CIF]
.