The material described by Ti8O15 crystallizes in the triclinic P-1 space group. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(10), one O(14), one O(4), one O(9), and two equivalent O(12) atoms. In the second Ti site, Ti(2) is bonded to one O(12), one O(3), one O(4), one O(9), and two equivalent O(10) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 44-52°. In the third Ti site, Ti(3) is bonded to one O(14), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 46-54°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(13), one O(15), one O(7), and two equivalent O(5) atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-52°. In the fifth Ti site, Ti(5) is bonded to one O(11), one O(12), one O(14), one O(3), one O(8), and one O(9) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. In the sixth Ti site, Ti(6) is bonded to one O(11), one O(15), one O(6), one O(7), and two equivalent O(13) atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the seventh Ti site, Ti(7) is bonded to one O(1), one O(10), one O(2), one O(4), one O(8), and one O(9) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. In the eighth Ti site, Ti(8) is bonded to one O(1), one O(11), one O(15), one O(2), one O(3), and one O(6) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ti(4), one Ti(7), and one Ti(8) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Ti(3), one Ti(7), and one Ti(8) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(5), and one Ti(8) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Ti(1), one Ti(2), and one Ti(7) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Ti(3) and two equivalent Ti(4) atoms. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Ti(3), one Ti(6), and one Ti(8) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ti(3), one Ti(4), and one Ti(6) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Ti(3), one Ti(5), and one Ti(7) atom. In the ninth O site, O(9) is bonded to one Ti(1), one Ti(2), one Ti(5), and one Ti(7) atom to form distorted edge-sharing OTi4 trigonal pyramids. In the tenth O site, O(10) is bonded to one Ti(1), one Ti(7), and two equivalent Ti(2) atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Ti(5), one Ti(6), and one Ti(8) atom. In the twelfth O site, O(12) is bonded to one Ti(2), one Ti(5), and two equivalent Ti(1) atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Ti(4) and two equivalent Ti(6) atoms. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Ti(1), one Ti(3), and one Ti(5) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one Ti(4), one Ti(6), and one Ti(8) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti8O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.537
_cell_length_b   7.133
_cell_length_c   13.401
_cell_angle_alpha   100.492
_cell_angle_beta   96.343
_cell_angle_gamma   108.451
_symmetry_Int_Tables_number   1
_cell_volume   485.587
_cell_formula_units_Z   2
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  0.230  0.723  0.545  1.0
  Ti  Ti1  1  0.776  0.777  0.449  1.0
  Ti  Ti2  1  0.517  0.815  0.807  1.0
  Ti  Ti3  1  0.483  0.185  0.193  1.0
  Ti  Ti4  1  0.770  0.277  0.455  1.0
  Ti  Ti5  1  0.835  0.899  0.064  1.0
  Ti  Ti6  1  0.142  0.467  0.319  1.0
  Ti  Ti7  1  0.827  0.398  0.065  1.0
  Ti  Ti8  1  0.861  0.030  0.679  1.0
  Ti  Ti9  1  0.165  0.101  0.936  1.0
  Ti  Ti10  1  0.489  0.689  0.190  1.0
  Ti  Ti11  1  0.224  0.223  0.551  1.0
  Ti  Ti12  1  0.139  0.970  0.321  1.0
  Ti  Ti13  1  0.173  0.602  0.935  1.0
  Ti  Ti14  1  0.511  0.311  0.810  1.0
  Ti  Ti15  1  0.858  0.533  0.681  1.0
  O  O16  1  0.852  0.855  0.211  1.0
  O  O17  1  0.600  0.066  0.757  1.0
  O  O18  1  0.491  0.352  0.660  1.0
  O  O19  1  0.148  0.145  0.789  1.0
  O  O20  1  0.574  0.857  0.549  1.0
  O  O21  1  0.801  0.931  0.922  1.0
  O  O22  1  0.583  0.445  0.154  1.0
  O  O23  1  0.735  0.141  0.111  1.0
  O  O24  1  0.400  0.934  0.243  1.0
  O  O25  1  0.235  0.235  0.282  1.0
  O  O26  1  0.914  0.265  0.606  1.0
  O  O27  1  0.765  0.765  0.718  1.0
  O  O28  1  0.089  0.948  0.579  1.0
  O  O29  1  0.122  0.521  0.188  1.0
  O  O30  1  0.191  0.444  0.476  1.0
  O  O31  1  0.929  0.654  0.023  1.0
  O  O32  1  0.509  0.648  0.340  1.0
  O  O33  1  0.426  0.143  0.451  1.0
  O  O34  1  0.878  0.479  0.812  1.0
  O  O35  1  0.780  0.324  0.322  1.0
  O  O36  1  0.809  0.556  0.524  1.0
  O  O37  1  0.463  0.723  0.054  1.0
  O  O38  1  0.417  0.555  0.846  1.0
  O  O39  1  0.265  0.859  0.889  1.0
  O  O40  1  0.199  0.069  0.078  1.0
  O  O41  1  0.911  0.052  0.421  1.0
  O  O42  1  0.220  0.676  0.678  1.0
  O  O43  1  0.071  0.346  0.977  1.0
  O  O44  1  0.086  0.735  0.394  1.0
  O  O45  1  0.537  0.277  0.946  1.0
[/CIF]
.
The material described by Ti8O15 crystallizes in the triclinic P-1 space group. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(10), one O(14), one O(4), one O(9), and two equivalent O(12) atoms. In the second Ti site, Ti(2) is bonded to one O(12), one O(3), one O(4), one O(9), and two equivalent O(10) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 44-52°. In the third Ti site, Ti(3) is bonded to one O(14), one O(2), one O(5), one O(6), one O(7), and one O(8) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 46-54°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(13), one O(15), one O(7), and two equivalent O(5) atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-52°. In the fifth Ti site, Ti(5) is bonded to one O(11), one O(12), one O(14), one O(3), one O(8), and one O(9) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. In the sixth Ti site, Ti(6) is bonded to one O(11), one O(15), one O(6), one O(7), and two equivalent O(13) atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the seventh Ti site, Ti(7) is bonded to one O(1), one O(10), one O(2), one O(4), one O(8), and one O(9) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. In the eighth Ti site, Ti(8) is bonded to one O(1), one O(11), one O(15), one O(2), one O(3), and one O(6) atom to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. There are fifteen inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Ti(4), one Ti(7), and one Ti(8) atom. In the second O site, O(2) is bonded in a trigonal planar geometry to one Ti(3), one Ti(7), and one Ti(8) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one Ti(2), one Ti(5), and one Ti(8) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one Ti(1), one Ti(2), and one Ti(7) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Ti(3) and two equivalent Ti(4) atoms. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Ti(3), one Ti(6), and one Ti(8) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Ti(3), one Ti(4), and one Ti(6) atom. In the eighth O site, O(8) is bonded in a distorted trigonal planar geometry to one Ti(3), one Ti(5), and one Ti(7) atom. In the ninth O site, O(9) is bonded to one Ti(1), one Ti(2), one Ti(5), and one Ti(7) atom to form distorted edge-sharing OTi4 trigonal pyramids. In the tenth O site, O(10) is bonded to one Ti(1), one Ti(7), and two equivalent Ti(2) atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the eleventh O site, O(11) is bonded in a trigonal planar geometry to one Ti(5), one Ti(6), and one Ti(8) atom. In the twelfth O site, O(12) is bonded to one Ti(2), one Ti(5), and two equivalent Ti(1) atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Ti(4) and two equivalent Ti(6) atoms. In the fourteenth O site, O(14) is bonded in a trigonal planar geometry to one Ti(1), one Ti(3), and one Ti(5) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one Ti(4), one Ti(6), and one Ti(8) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ti8O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.537
_cell_length_b   7.133
_cell_length_c   13.401
_cell_angle_alpha   100.492
_cell_angle_beta   96.343
_cell_angle_gamma   108.451
_symmetry_Int_Tables_number   1
_cell_volume   485.587
_cell_formula_units_Z   2
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  0.230  0.723  0.545  1.0
  Ti  Ti1  1  0.776  0.777  0.449  1.0
  Ti  Ti2  1  0.517  0.815  0.807  1.0
  Ti  Ti3  1  0.483  0.185  0.193  1.0
  Ti  Ti4  1  0.770  0.277  0.455  1.0
  Ti  Ti5  1  0.835  0.899  0.064  1.0
  Ti  Ti6  1  0.142  0.467  0.319  1.0
  Ti  Ti7  1  0.827  0.398  0.065  1.0
  Ti  Ti8  1  0.861  0.030  0.679  1.0
  Ti  Ti9  1  0.165  0.101  0.936  1.0
  Ti  Ti10  1  0.489  0.689  0.190  1.0
  Ti  Ti11  1  0.224  0.223  0.551  1.0
  Ti  Ti12  1  0.139  0.970  0.321  1.0
  Ti  Ti13  1  0.173  0.602  0.935  1.0
  Ti  Ti14  1  0.511  0.311  0.810  1.0
  Ti  Ti15  1  0.858  0.533  0.681  1.0
  O  O16  1  0.852  0.855  0.211  1.0
  O  O17  1  0.600  0.066  0.757  1.0
  O  O18  1  0.491  0.352  0.660  1.0
  O  O19  1  0.148  0.145  0.789  1.0
  O  O20  1  0.574  0.857  0.549  1.0
  O  O21  1  0.801  0.931  0.922  1.0
  O  O22  1  0.583  0.445  0.154  1.0
  O  O23  1  0.735  0.141  0.111  1.0
  O  O24  1  0.400  0.934  0.243  1.0
  O  O25  1  0.235  0.235  0.282  1.0
  O  O26  1  0.914  0.265  0.606  1.0
  O  O27  1  0.765  0.765  0.718  1.0
  O  O28  1  0.089  0.948  0.579  1.0
  O  O29  1  0.122  0.521  0.188  1.0
  O  O30  1  0.191  0.444  0.476  1.0
  O  O31  1  0.929  0.654  0.023  1.0
  O  O32  1  0.509  0.648  0.340  1.0
  O  O33  1  0.426  0.143  0.451  1.0
  O  O34  1  0.878  0.479  0.812  1.0
  O  O35  1  0.780  0.324  0.322  1.0
  O  O36  1  0.809  0.556  0.524  1.0
  O  O37  1  0.463  0.723  0.054  1.0
  O  O38  1  0.417  0.555  0.846  1.0
  O  O39  1  0.265  0.859  0.889  1.0
  O  O40  1  0.199  0.069  0.078  1.0
  O  O41  1  0.911  0.052  0.421  1.0
  O  O42  1  0.220  0.676  0.678  1.0
  O  O43  1  0.071  0.346  0.977  1.0
  O  O44  1  0.086  0.735  0.394  1.0
  O  O45  1  0.537  0.277  0.946  1.0
[/CIF]
.