The structure described by Ti5Fe7O18 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(12), one O(14), one O(16), one O(2), and one O(7) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-59°. In the second Ti site, Ti(2) is bonded to one O(1), one O(15), one O(2), one O(5), one O(6), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  a faceface with one Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-62°. In the third Ti site, Ti(3) is bonded to one O(12), one O(17), one O(18), one O(3), one O(4), and one O(7) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-65°. In the fourth Ti site, Ti(4) is bonded to one O(11), one O(13), one O(15), one O(17), one O(18), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  a faceface with one Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-61°. In the fifth Ti site, Ti(5) is bonded to one O(10), one O(11), one O(13), one O(14), one O(16), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  a faceface with one Fe(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-63°. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(12), one O(13), one O(16), one O(2), and one O(3) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. In the second Fe site, Fe(2) is bonded to one O(10), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  a faceface with one Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-63°. In the third Fe site, Fe(3) is bonded to one O(16), one O(17), one O(18), one O(3), one O(6), and one O(7) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-65°. In the fourth Fe site, Fe(4) is bonded to one O(11), one O(14), one O(17), one O(18), one O(5), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-60°. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(12), one O(13), one O(14), one O(5), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-62°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(15), one O(4), one O(6), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. In the seventh Fe site, Fe(7) is bonded to one O(1), one O(11), one O(15), one O(2), one O(4), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-63°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Ti(1), one Ti(2), one Fe(1), and one Fe(7) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(14)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid, corners with two equivalent O(15)Ti2Fe2 trigonal pyramids, and corners with two equivalent O(8)TiFe3 trigonal pyramids. In the second O site, O(2) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(2), one Fe(1), and one Fe(7) atom. In the third O site, O(3) is bonded to one Ti(3), one Fe(1), one Fe(2), and one Fe(3) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(1)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid,  a cornercorner with one O(9)TiFe3 trigonal pyramid, and  an edgeedge with one O(18)Ti2Fe2 trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Ti(3), one Fe(2), one Fe(6), and one Fe(7) atom. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Ti(2), one Ti(4), one Fe(4), and one Fe(5) 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(3), and one Fe(6) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(3), one Fe(3), and one Fe(6) atom. In the eighth O site, O(8) is bonded to one Ti(2), one Fe(2), one Fe(4), and one Fe(7) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(14)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid,  a cornercorner with one O(9)TiFe3 trigonal pyramid, corners with two equivalent O(1)Ti2Fe2 trigonal pyramids, and  an edgeedge with one O(15)Ti2Fe2 trigonal pyramid. In the ninth O site, O(9) is bonded to one Ti(5), one Fe(2), one Fe(5), and one Fe(6) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(15)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid,  an edgeedge with one O(13)Ti2Fe2 trigonal pyramid, and  an edgeedge with one O(14)Ti2Fe2 trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Ti(5), one Fe(2), one Fe(5), and one Fe(6) atom. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Ti(4), one Ti(5), one Fe(4), and one Fe(7) atom. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(3), one Fe(1), and one Fe(5) atom. In the thirteenth O site, O(13) is bonded to one Ti(4), one Ti(5), one Fe(1), and one Fe(5) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(1)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(15)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid,  an edgeedge with one O(14)Ti2Fe2 trigonal pyramid, and  an edgeedge with one O(9)TiFe3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Ti(1), one Ti(5), one Fe(4), and one Fe(5) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(1)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid,  an edgeedge with one O(13)Ti2Fe2 trigonal pyramid, and  an edgeedge with one O(9)TiFe3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Ti(2), one Ti(4), one Fe(6), and one Fe(7) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(9)TiFe3 trigonal pyramid, corners with two equivalent O(1)Ti2Fe2 trigonal pyramids, and  an edgeedge with one O(8)TiFe3 trigonal pyramid. In the sixteenth O site, O(16) 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 seventeenth O site, O(17) is bonded in a distorted see-saw-like geometry to one Ti(3), one Ti(4), one Fe(3), and one Fe(4) atom. In the eighteenth O site, O(18) is bonded to one Ti(3), one Ti(4), one Fe(3), and one Fe(4) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(14)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(15)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid, and  an edgeedge with one O(3)TiFe3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti5Fe7O18
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.563
_cell_length_b   7.631
_cell_length_c   8.939
_cell_angle_alpha   113.143
_cell_angle_beta   105.330
_cell_angle_gamma   96.061
_symmetry_Int_Tables_number   1
_cell_volume   327.016
_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  0.705  0.148  0.001  1.0
  Ti  Ti1  1  0.626  0.187  0.667  1.0
  Ti  Ti2  1  0.289  0.849  0.994  1.0
  Ti  Ti3  1  0.382  0.809  0.335  1.0
  Ti  Ti4  1  0.963  0.523  0.338  1.0
  Fe  Fe5  1  0.291  0.357  0.996  1.0
  Fe  Fe6  1  0.038  0.480  0.664  1.0
  Fe  Fe7  1  0.710  0.644  0.999  1.0
  Fe  Fe8  1  0.965  0.025  0.337  1.0
  Fe  Fe9  1  0.375  0.307  0.330  1.0
  Fe  Fe10  1  0.620  0.683  0.667  1.0
  Fe  Fe11  1  0.043  0.980  0.667  1.0
  O  O12  1  0.417  0.154  0.794  1.0
  O  O13  1  0.909  0.179  0.871  1.0
  O  O14  1  0.293  0.559  0.896  1.0
  O  O15  1  0.041  0.788  0.783  1.0
  O  O16  1  0.367  0.112  0.449  1.0
  O  O17  1  0.724  0.460  0.758  1.0
  O  O18  1  0.600  0.873  0.911  1.0
  O  O19  1  0.928  0.187  0.562  1.0
  O  O20  1  0.255  0.511  0.529  1.0
  O  O21  1  0.754  0.489  0.460  1.0
  O  O22  1  0.060  0.800  0.419  1.0
  O  O23  1  0.390  0.131  0.090  1.0
  O  O24  1  0.274  0.537  0.241  1.0
  O  O25  1  0.946  0.206  0.223  1.0
  O  O26  1  0.620  0.883  0.552  1.0
  O  O27  1  0.722  0.446  0.117  1.0
  O  O28  1  0.089  0.831  0.136  1.0
  O  O29  1  0.602  0.855  0.214  1.0
[/CIF]
.
The structure described by Ti5Fe7O18 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(12), one O(14), one O(16), one O(2), and one O(7) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  a faceface with one Fe(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-59°. In the second Ti site, Ti(2) is bonded to one O(1), one O(15), one O(2), one O(5), one O(6), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  a faceface with one Fe(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-62°. In the third Ti site, Ti(3) is bonded to one O(12), one O(17), one O(18), one O(3), one O(4), and one O(7) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  a faceface with one Fe(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-65°. In the fourth Ti site, Ti(4) is bonded to one O(11), one O(13), one O(15), one O(17), one O(18), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  a faceface with one Fe(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-61°. In the fifth Ti site, Ti(5) is bonded to one O(10), one O(11), one O(13), one O(14), one O(16), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Fe(5)O6 octahedra,  a cornercorner with one Fe(7)O6 octahedra, corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Fe(4)O6 octahedra, corners with two equivalent Fe(6)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra, and  a faceface with one Fe(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-63°. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(1), one O(12), one O(13), one O(16), one O(2), and one O(3) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. In the second Fe site, Fe(2) is bonded to one O(10), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Fe(4)O6 octahedra,  a cornercorner with one Fe(6)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Fe(5)O6 octahedra, corners with two equivalent Fe(7)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  a faceface with one Fe(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-63°. In the third Fe site, Fe(3) is bonded to one O(16), one O(17), one O(18), one O(3), one O(6), and one O(7) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-65°. In the fourth Fe site, Fe(4) is bonded to one O(11), one O(14), one O(17), one O(18), one O(5), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-60°. In the fifth Fe site, Fe(5) is bonded to one O(10), one O(12), one O(13), one O(14), one O(5), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-62°. In the sixth Fe site, Fe(6) is bonded to one O(10), one O(15), one O(4), one O(6), one O(7), and one O(9) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Fe(2)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Fe(5)O6 octahedra,  an edgeedge with one Fe(7)O6 octahedra, and  a faceface with one Fe(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. In the seventh Fe site, Fe(7) is bonded to one O(1), one O(11), one O(15), one O(2), one O(4), and one O(8) atom to form distorted FeO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Fe(2)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Fe(4)O6 octahedra,  an edgeedge with one Fe(6)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-63°. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Ti(1), one Ti(2), one Fe(1), and one Fe(7) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(14)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid, corners with two equivalent O(15)Ti2Fe2 trigonal pyramids, and corners with two equivalent O(8)TiFe3 trigonal pyramids. In the second O site, O(2) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(2), one Fe(1), and one Fe(7) atom. In the third O site, O(3) is bonded to one Ti(3), one Fe(1), one Fe(2), and one Fe(3) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(1)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid,  a cornercorner with one O(9)TiFe3 trigonal pyramid, and  an edgeedge with one O(18)Ti2Fe2 trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Ti(3), one Fe(2), one Fe(6), and one Fe(7) atom. In the fifth O site, O(5) is bonded in a distorted see-saw-like geometry to one Ti(2), one Ti(4), one Fe(4), and one Fe(5) 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(3), and one Fe(6) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(3), one Fe(3), and one Fe(6) atom. In the eighth O site, O(8) is bonded to one Ti(2), one Fe(2), one Fe(4), and one Fe(7) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(14)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid,  a cornercorner with one O(9)TiFe3 trigonal pyramid, corners with two equivalent O(1)Ti2Fe2 trigonal pyramids, and  an edgeedge with one O(15)Ti2Fe2 trigonal pyramid. In the ninth O site, O(9) is bonded to one Ti(5), one Fe(2), one Fe(5), and one Fe(6) atom to form distorted OTiFe3 trigonal pyramids that share  a cornercorner with one O(15)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid,  an edgeedge with one O(13)Ti2Fe2 trigonal pyramid, and  an edgeedge with one O(14)Ti2Fe2 trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Ti(5), one Fe(2), one Fe(5), and one Fe(6) atom. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Ti(4), one Ti(5), one Fe(4), and one Fe(7) atom. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(3), one Fe(1), and one Fe(5) atom. In the thirteenth O site, O(13) is bonded to one Ti(4), one Ti(5), one Fe(1), and one Fe(5) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(1)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(15)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(3)TiFe3 trigonal pyramid,  an edgeedge with one O(14)Ti2Fe2 trigonal pyramid, and  an edgeedge with one O(9)TiFe3 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Ti(1), one Ti(5), one Fe(4), and one Fe(5) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(1)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid,  an edgeedge with one O(13)Ti2Fe2 trigonal pyramid, and  an edgeedge with one O(9)TiFe3 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Ti(2), one Ti(4), one Fe(6), and one Fe(7) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(18)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(9)TiFe3 trigonal pyramid, corners with two equivalent O(1)Ti2Fe2 trigonal pyramids, and  an edgeedge with one O(8)TiFe3 trigonal pyramid. In the sixteenth O site, O(16) 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 seventeenth O site, O(17) is bonded in a distorted see-saw-like geometry to one Ti(3), one Ti(4), one Fe(3), and one Fe(4) atom. In the eighteenth O site, O(18) is bonded to one Ti(3), one Ti(4), one Fe(3), and one Fe(4) atom to form distorted OTi2Fe2 trigonal pyramids that share  a cornercorner with one O(13)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(14)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(15)Ti2Fe2 trigonal pyramid,  a cornercorner with one O(8)TiFe3 trigonal pyramid, and  an edgeedge with one O(3)TiFe3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti5Fe7O18
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.563
_cell_length_b   7.631
_cell_length_c   8.939
_cell_angle_alpha   113.143
_cell_angle_beta   105.330
_cell_angle_gamma   96.061
_symmetry_Int_Tables_number   1
_cell_volume   327.016
_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  0.705  0.148  0.001  1.0
  Ti  Ti1  1  0.626  0.187  0.667  1.0
  Ti  Ti2  1  0.289  0.849  0.994  1.0
  Ti  Ti3  1  0.382  0.809  0.335  1.0
  Ti  Ti4  1  0.963  0.523  0.338  1.0
  Fe  Fe5  1  0.291  0.357  0.996  1.0
  Fe  Fe6  1  0.038  0.480  0.664  1.0
  Fe  Fe7  1  0.710  0.644  0.999  1.0
  Fe  Fe8  1  0.965  0.025  0.337  1.0
  Fe  Fe9  1  0.375  0.307  0.330  1.0
  Fe  Fe10  1  0.620  0.683  0.667  1.0
  Fe  Fe11  1  0.043  0.980  0.667  1.0
  O  O12  1  0.417  0.154  0.794  1.0
  O  O13  1  0.909  0.179  0.871  1.0
  O  O14  1  0.293  0.559  0.896  1.0
  O  O15  1  0.041  0.788  0.783  1.0
  O  O16  1  0.367  0.112  0.449  1.0
  O  O17  1  0.724  0.460  0.758  1.0
  O  O18  1  0.600  0.873  0.911  1.0
  O  O19  1  0.928  0.187  0.562  1.0
  O  O20  1  0.255  0.511  0.529  1.0
  O  O21  1  0.754  0.489  0.460  1.0
  O  O22  1  0.060  0.800  0.419  1.0
  O  O23  1  0.390  0.131  0.090  1.0
  O  O24  1  0.274  0.537  0.241  1.0
  O  O25  1  0.946  0.206  0.223  1.0
  O  O26  1  0.620  0.883  0.552  1.0
  O  O27  1  0.722  0.446  0.117  1.0
  O  O28  1  0.089  0.831  0.136  1.0
  O  O29  1  0.602  0.855  0.214  1.0
[/CIF]
.