The structure described by Bi9Ti6FeO27 crystallizes in the orthorhombic Pmm2 space group. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a distorted see-saw-like geometry to four equivalent O(2) atoms. In the second Ti site, Ti(2) is bonded in a distorted rectangular see-saw-like geometry to four equivalent O(11) atoms. In the third Ti site, Ti(3) is bonded to one O(3) and four equivalent O(11) atoms to form distorted TiO5 square pyramids that share corners with four equivalent Bi(9)O6 octahedra. The corner-sharing octahedral tilt angles are 17°. In the fourth Ti site, Ti(4) is bonded to one O(13) and four equivalent O(1) atoms to form TiO5 square pyramids that share corners with four equivalent Fe(1)O5 square pyramids. In the fifth Ti site, Ti(5) is bonded to one O(5), one O(9), and four equivalent O(12) atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(6), and four equivalent O(12) atoms to form TiO6 octahedra that share  a cornercorner with one Bi(9)O6 octahedra and corners with four equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. Fe(1) is bonded to one O(14) and four equivalent O(1) atoms to form distorted FeO5 square pyramids that share corners with four equivalent Ti(4)O5 square pyramids. There are nine inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 5-coordinate geometry to one O(7) and four equivalent O(2) atoms. In the second Bi site, Bi(2) is bonded to one O(4), one O(8), and four equivalent O(2) atoms to form distorted corner-sharing BiO6 octahedra. The corner-sharing octahedra are not tilted. In the third Bi site, Bi(3) is bonded in a 6-coordinate geometry to one O(15), one O(7), and four equivalent O(1) atoms. In the fourth Bi site, Bi(4) is bonded in a 4-coordinate geometry to four equivalent O(1) atoms. In the fifth Bi site, Bi(5) is bonded in a 4-coordinate geometry to four equivalent O(12) atoms. In the sixth Bi site, Bi(6) is bonded in a 4-coordinate geometry to four equivalent O(12) atoms. In the seventh Bi site, Bi(7) is bonded in a single-bond geometry to one O(13) atom. In the eighth Bi site, Bi(8) is bonded in a single-bond geometry to one O(14) and two equivalent O(15) atoms. In the ninth Bi site, Bi(9) is bonded to one O(10), one O(4), and four equivalent O(11) atoms to form BiO6 octahedra that share  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Bi(2)O6 octahedra, and corners with four equivalent Ti(3)O5 square pyramids. The corner-sharing octahedra are not tilted. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a see-saw-like geometry to one Ti(4), one Fe(1), one Bi(3), and one Bi(4) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Bi(1), and one Bi(2) atom. In the third O site, O(3) is bonded in a single-bond geometry to one Ti(3) atom. In the fourth O site, O(4) is bonded in a linear geometry to one Bi(2) and one Bi(9) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Ti(5) and one O(15) atom. In the sixth O site, O(6) is bonded in a single-bond geometry to one Ti(6) atom. In the seventh O site, O(7) is bonded in a linear geometry to one Bi(1) and one Bi(3) atom. In the eighth O site, O(8) is bonded in a single-bond geometry to one Bi(2) atom. In the ninth O site, O(9) is bonded in a single-bond geometry to one Ti(5) atom. In the tenth O site, O(10) is bonded in a distorted linear geometry to one Ti(6) and one Bi(9) atom. In the eleventh O site, O(11) is bonded in a T-shaped geometry to one Ti(2), one Ti(3), and one Bi(9) atom. In the twelfth O site, O(12) is bonded in a see-saw-like geometry to one Ti(5), one Ti(6), one Bi(5), and one Bi(6) atom. In the thirteenth O site, O(13) is bonded in a linear geometry to one Ti(4) and one Bi(7) atom. In the fourteenth O site, O(14) is bonded in a linear geometry to one Fe(1) and one Bi(8) atom. In the fifteenth O site, O(15) is bonded in a distorted square co-planar geometry to one Bi(3), two equivalent Bi(8), and one O(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti6Fe(BiO3)9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.095
_cell_length_b   5.707
_cell_length_c   19.801
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   688.799
_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  0.500  0.000  0.825  1.0
  Ti  Ti1  1  0.000  0.500  0.955  1.0
  Ti  Ti2  1  0.000  0.000  0.973  1.0
  Ti  Ti3  1  0.500  0.000  0.554  1.0
  Ti  Ti4  1  0.000  0.000  0.218  1.0
  Ti  Ti5  1  0.500  0.500  0.226  1.0
  Fe  Fe6  1  0.000  0.500  0.575  1.0
  Bi  Bi7  1  0.000  0.000  0.744  1.0
  Bi  Bi8  1  0.500  0.500  0.769  1.0
  Bi  Bi9  1  0.000  0.000  0.525  1.0
  Bi  Bi10  1  0.500  0.500  0.500  1.0
  Bi  Bi11  1  0.500  0.000  0.150  1.0
  Bi  Bi12  1  0.000  0.500  0.149  1.0
  Bi  Bi13  1  0.500  0.000  0.352  1.0
  Bi  Bi14  1  0.000  0.500  0.368  1.0
  Bi  Bi15  1  0.500  0.500  0.996  1.0
  O  O16  1  0.718  0.747  0.558  1.0
  O  O17  1  0.282  0.253  0.558  1.0
  O  O18  1  0.282  0.747  0.558  1.0
  O  O19  1  0.718  0.253  0.558  1.0
  O  O20  1  0.715  0.788  0.791  1.0
  O  O21  1  0.285  0.212  0.791  1.0
  O  O22  1  0.285  0.788  0.791  1.0
  O  O23  1  0.715  0.212  0.791  1.0
  O  O24  1  0.000  0.000  0.888  1.0
  O  O25  1  0.500  0.500  0.886  1.0
  O  O26  1  0.000  0.000  0.311  1.0
  O  O27  1  0.500  0.500  0.321  1.0
  O  O28  1  0.000  0.000  0.634  1.0
  O  O29  1  0.500  0.500  0.668  1.0
  O  O30  1  0.000  0.000  0.125  1.0
  O  O31  1  0.500  0.500  0.126  1.0
  O  O32  1  0.802  0.731  0.988  1.0
  O  O33  1  0.198  0.269  0.988  1.0
  O  O34  1  0.198  0.731  0.988  1.0
  O  O35  1  0.802  0.269  0.988  1.0
  O  O36  1  0.746  0.751  0.214  1.0
  O  O37  1  0.254  0.249  0.214  1.0
  O  O38  1  0.254  0.751  0.214  1.0
  O  O39  1  0.746  0.249  0.214  1.0
  O  O40  1  0.500  0.000  0.460  1.0
  O  O41  1  0.000  0.500  0.471  1.0
  O  O42  1  0.000  0.000  0.384  1.0
[/CIF]
.
The structure described by Bi9Ti6FeO27 crystallizes in the orthorhombic Pmm2 space group. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a distorted see-saw-like geometry to four equivalent O(2) atoms. In the second Ti site, Ti(2) is bonded in a distorted rectangular see-saw-like geometry to four equivalent O(11) atoms. In the third Ti site, Ti(3) is bonded to one O(3) and four equivalent O(11) atoms to form distorted TiO5 square pyramids that share corners with four equivalent Bi(9)O6 octahedra. The corner-sharing octahedral tilt angles are 17°. In the fourth Ti site, Ti(4) is bonded to one O(13) and four equivalent O(1) atoms to form TiO5 square pyramids that share corners with four equivalent Fe(1)O5 square pyramids. In the fifth Ti site, Ti(5) is bonded to one O(5), one O(9), and four equivalent O(12) atoms to form corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 9°. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(6), and four equivalent O(12) atoms to form TiO6 octahedra that share  a cornercorner with one Bi(9)O6 octahedra and corners with four equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. Fe(1) is bonded to one O(14) and four equivalent O(1) atoms to form distorted FeO5 square pyramids that share corners with four equivalent Ti(4)O5 square pyramids. There are nine inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 5-coordinate geometry to one O(7) and four equivalent O(2) atoms. In the second Bi site, Bi(2) is bonded to one O(4), one O(8), and four equivalent O(2) atoms to form distorted corner-sharing BiO6 octahedra. The corner-sharing octahedra are not tilted. In the third Bi site, Bi(3) is bonded in a 6-coordinate geometry to one O(15), one O(7), and four equivalent O(1) atoms. In the fourth Bi site, Bi(4) is bonded in a 4-coordinate geometry to four equivalent O(1) atoms. In the fifth Bi site, Bi(5) is bonded in a 4-coordinate geometry to four equivalent O(12) atoms. In the sixth Bi site, Bi(6) is bonded in a 4-coordinate geometry to four equivalent O(12) atoms. In the seventh Bi site, Bi(7) is bonded in a single-bond geometry to one O(13) atom. In the eighth Bi site, Bi(8) is bonded in a single-bond geometry to one O(14) and two equivalent O(15) atoms. In the ninth Bi site, Bi(9) is bonded to one O(10), one O(4), and four equivalent O(11) atoms to form BiO6 octahedra that share  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Bi(2)O6 octahedra, and corners with four equivalent Ti(3)O5 square pyramids. The corner-sharing octahedra are not tilted. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a see-saw-like geometry to one Ti(4), one Fe(1), one Bi(3), and one Bi(4) atom. In the second O site, O(2) is bonded in a distorted trigonal non-coplanar geometry to one Ti(1), one Bi(1), and one Bi(2) atom. In the third O site, O(3) is bonded in a single-bond geometry to one Ti(3) atom. In the fourth O site, O(4) is bonded in a linear geometry to one Bi(2) and one Bi(9) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one Ti(5) and one O(15) atom. In the sixth O site, O(6) is bonded in a single-bond geometry to one Ti(6) atom. In the seventh O site, O(7) is bonded in a linear geometry to one Bi(1) and one Bi(3) atom. In the eighth O site, O(8) is bonded in a single-bond geometry to one Bi(2) atom. In the ninth O site, O(9) is bonded in a single-bond geometry to one Ti(5) atom. In the tenth O site, O(10) is bonded in a distorted linear geometry to one Ti(6) and one Bi(9) atom. In the eleventh O site, O(11) is bonded in a T-shaped geometry to one Ti(2), one Ti(3), and one Bi(9) atom. In the twelfth O site, O(12) is bonded in a see-saw-like geometry to one Ti(5), one Ti(6), one Bi(5), and one Bi(6) atom. In the thirteenth O site, O(13) is bonded in a linear geometry to one Ti(4) and one Bi(7) atom. In the fourteenth O site, O(14) is bonded in a linear geometry to one Fe(1) and one Bi(8) atom. In the fifteenth O site, O(15) is bonded in a distorted square co-planar geometry to one Bi(3), two equivalent Bi(8), and one O(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti6Fe(BiO3)9
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.095
_cell_length_b   5.707
_cell_length_c   19.801
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   688.799
_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  0.500  0.000  0.825  1.0
  Ti  Ti1  1  0.000  0.500  0.955  1.0
  Ti  Ti2  1  0.000  0.000  0.973  1.0
  Ti  Ti3  1  0.500  0.000  0.554  1.0
  Ti  Ti4  1  0.000  0.000  0.218  1.0
  Ti  Ti5  1  0.500  0.500  0.226  1.0
  Fe  Fe6  1  0.000  0.500  0.575  1.0
  Bi  Bi7  1  0.000  0.000  0.744  1.0
  Bi  Bi8  1  0.500  0.500  0.769  1.0
  Bi  Bi9  1  0.000  0.000  0.525  1.0
  Bi  Bi10  1  0.500  0.500  0.500  1.0
  Bi  Bi11  1  0.500  0.000  0.150  1.0
  Bi  Bi12  1  0.000  0.500  0.149  1.0
  Bi  Bi13  1  0.500  0.000  0.352  1.0
  Bi  Bi14  1  0.000  0.500  0.368  1.0
  Bi  Bi15  1  0.500  0.500  0.996  1.0
  O  O16  1  0.718  0.747  0.558  1.0
  O  O17  1  0.282  0.253  0.558  1.0
  O  O18  1  0.282  0.747  0.558  1.0
  O  O19  1  0.718  0.253  0.558  1.0
  O  O20  1  0.715  0.788  0.791  1.0
  O  O21  1  0.285  0.212  0.791  1.0
  O  O22  1  0.285  0.788  0.791  1.0
  O  O23  1  0.715  0.212  0.791  1.0
  O  O24  1  0.000  0.000  0.888  1.0
  O  O25  1  0.500  0.500  0.886  1.0
  O  O26  1  0.000  0.000  0.311  1.0
  O  O27  1  0.500  0.500  0.321  1.0
  O  O28  1  0.000  0.000  0.634  1.0
  O  O29  1  0.500  0.500  0.668  1.0
  O  O30  1  0.000  0.000  0.125  1.0
  O  O31  1  0.500  0.500  0.126  1.0
  O  O32  1  0.802  0.731  0.988  1.0
  O  O33  1  0.198  0.269  0.988  1.0
  O  O34  1  0.198  0.731  0.988  1.0
  O  O35  1  0.802  0.269  0.988  1.0
  O  O36  1  0.746  0.751  0.214  1.0
  O  O37  1  0.254  0.249  0.214  1.0
  O  O38  1  0.254  0.751  0.214  1.0
  O  O39  1  0.746  0.249  0.214  1.0
  O  O40  1  0.500  0.000  0.460  1.0
  O  O41  1  0.000  0.500  0.471  1.0
  O  O42  1  0.000  0.000  0.384  1.0
[/CIF]
.