The crystal structure described by Ti15NbO32 is beta Vanadium nitride-derived structured and crystallizes in the tetragonal P-4m2 space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 24-25°. In the second Ti site, Ti(2) is bonded to one O(1), one O(3), one O(4), one O(8), and two equivalent O(7) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-28°. In the third Ti site, Ti(3) is bonded to one O(2), one O(5), one O(6), one O(9), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-25°. In the fourth Ti site, Ti(4) is bonded to one O(4), one O(5), two equivalent O(8), and two equivalent O(9) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 24-26°. In the fifth Ti site, Ti(5) is bonded to two equivalent O(6) and four equivalent O(9) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. Nb(1) is bonded to two equivalent O(3) and four equivalent O(8) atoms to form distorted NbO6 octahedra that share corners with four equivalent Ti(4)O6 octahedra and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 26°. There are nine inequivalent O sites. In the first O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(2), one Ti(4), and one Nb(1) atom. In the second O site, O(9) is bonded in a distorted T-shaped geometry to one Ti(3), one Ti(4), and one Ti(5) atom. In the third O site, O(1) is bonded in a distorted T-shaped geometry to one Ti(2) and two equivalent Ti(1) atoms. In the fourth O site, O(2) is bonded in a distorted T-shaped geometry to one Ti(3) and two equivalent Ti(1) atoms. In the fifth O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Ti(2) and one Nb(1) atom. In the sixth O site, O(4) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(2) atoms. In the seventh O site, O(5) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(3) atoms. In the eighth O site, O(6) is bonded in a distorted T-shaped geometry to one Ti(5) and two equivalent Ti(3) atoms. In the ninth O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(1), one Ti(2), and one Ti(3) atom. is represented by the CIF card [CIF]
data_Ti15NbO32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.646
_cell_length_b   7.646
_cell_length_c   9.694
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   566.757
_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  0.752  0.752  0.000  1.0
  Ti  Ti1  1  0.752  0.248  0.000  1.0
  Ti  Ti2  1  0.248  0.752  0.000  1.0
  Ti  Ti3  1  0.248  0.248  0.000  1.0
  Ti  Ti4  1  0.500  0.755  0.756  1.0
  Ti  Ti5  1  0.500  0.245  0.756  1.0
  Ti  Ti6  1  0.000  0.751  0.750  1.0
  Ti  Ti7  1  0.000  0.249  0.750  1.0
  Ti  Ti8  1  0.500  0.000  0.497  1.0
  Ti  Ti9  1  0.000  0.500  0.503  1.0
  Ti  Ti10  1  0.000  0.000  0.500  1.0
  Ti  Ti11  1  0.755  0.500  0.244  1.0
  Ti  Ti12  1  0.751  0.000  0.250  1.0
  Ti  Ti13  1  0.245  0.500  0.244  1.0
  Ti  Ti14  1  0.249  0.000  0.250  1.0
  Nb  Nb15  1  0.500  0.500  0.500  1.0
  O  O16  1  0.500  0.750  0.957  1.0
  O  O17  1  0.500  0.250  0.957  1.0
  O  O18  1  0.000  0.750  0.957  1.0
  O  O19  1  0.000  0.250  0.957  1.0
  O  O20  1  0.500  0.500  0.710  1.0
  O  O21  1  0.500  0.000  0.708  1.0
  O  O22  1  0.000  0.500  0.707  1.0
  O  O23  1  0.000  0.000  0.707  1.0
  O  O24  1  0.750  0.500  0.043  1.0
  O  O25  1  0.750  0.000  0.043  1.0
  O  O26  1  0.250  0.500  0.043  1.0
  O  O27  1  0.250  0.000  0.043  1.0
  O  O28  1  0.750  0.750  0.793  1.0
  O  O29  1  0.750  0.250  0.793  1.0
  O  O30  1  0.250  0.750  0.793  1.0
  O  O31  1  0.250  0.250  0.793  1.0
  O  O32  1  0.753  0.500  0.456  1.0
  O  O33  1  0.750  0.000  0.457  1.0
  O  O34  1  0.247  0.500  0.456  1.0
  O  O35  1  0.250  0.000  0.457  1.0
  O  O36  1  0.750  0.750  0.207  1.0
  O  O37  1  0.750  0.250  0.207  1.0
  O  O38  1  0.250  0.750  0.207  1.0
  O  O39  1  0.250  0.250  0.207  1.0
  O  O40  1  0.500  0.753  0.544  1.0
  O  O41  1  0.500  0.247  0.544  1.0
  O  O42  1  0.000  0.750  0.543  1.0
  O  O43  1  0.000  0.250  0.543  1.0
  O  O44  1  0.500  0.500  0.290  1.0
  O  O45  1  0.500  0.000  0.293  1.0
  O  O46  1  0.000  0.500  0.292  1.0
  O  O47  1  0.000  0.000  0.293  1.0
[/CIF]
.
The crystal structure described by Ti15NbO32 is beta Vanadium nitride-derived structured and crystallizes in the tetragonal P-4m2 space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 24-25°. In the second Ti site, Ti(2) is bonded to one O(1), one O(3), one O(4), one O(8), and two equivalent O(7) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-28°. In the third Ti site, Ti(3) is bonded to one O(2), one O(5), one O(6), one O(9), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-25°. In the fourth Ti site, Ti(4) is bonded to one O(4), one O(5), two equivalent O(8), and two equivalent O(9) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 24-26°. In the fifth Ti site, Ti(5) is bonded to two equivalent O(6) and four equivalent O(9) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. Nb(1) is bonded to two equivalent O(3) and four equivalent O(8) atoms to form distorted NbO6 octahedra that share corners with four equivalent Ti(4)O6 octahedra and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 26°. There are nine inequivalent O sites. In the first O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(2), one Ti(4), and one Nb(1) atom. In the second O site, O(9) is bonded in a distorted T-shaped geometry to one Ti(3), one Ti(4), and one Ti(5) atom. In the third O site, O(1) is bonded in a distorted T-shaped geometry to one Ti(2) and two equivalent Ti(1) atoms. In the fourth O site, O(2) is bonded in a distorted T-shaped geometry to one Ti(3) and two equivalent Ti(1) atoms. In the fifth O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Ti(2) and one Nb(1) atom. In the sixth O site, O(4) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(2) atoms. In the seventh O site, O(5) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(3) atoms. In the eighth O site, O(6) is bonded in a distorted T-shaped geometry to one Ti(5) and two equivalent Ti(3) atoms. In the ninth O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(1), one Ti(2), and one Ti(3) atom. is represented by the CIF card [CIF]
data_Ti15NbO32
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.646
_cell_length_b   7.646
_cell_length_c   9.694
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   566.757
_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  0.752  0.752  0.000  1.0
  Ti  Ti1  1  0.752  0.248  0.000  1.0
  Ti  Ti2  1  0.248  0.752  0.000  1.0
  Ti  Ti3  1  0.248  0.248  0.000  1.0
  Ti  Ti4  1  0.500  0.755  0.756  1.0
  Ti  Ti5  1  0.500  0.245  0.756  1.0
  Ti  Ti6  1  0.000  0.751  0.750  1.0
  Ti  Ti7  1  0.000  0.249  0.750  1.0
  Ti  Ti8  1  0.500  0.000  0.497  1.0
  Ti  Ti9  1  0.000  0.500  0.503  1.0
  Ti  Ti10  1  0.000  0.000  0.500  1.0
  Ti  Ti11  1  0.755  0.500  0.244  1.0
  Ti  Ti12  1  0.751  0.000  0.250  1.0
  Ti  Ti13  1  0.245  0.500  0.244  1.0
  Ti  Ti14  1  0.249  0.000  0.250  1.0
  Nb  Nb15  1  0.500  0.500  0.500  1.0
  O  O16  1  0.500  0.750  0.957  1.0
  O  O17  1  0.500  0.250  0.957  1.0
  O  O18  1  0.000  0.750  0.957  1.0
  O  O19  1  0.000  0.250  0.957  1.0
  O  O20  1  0.500  0.500  0.710  1.0
  O  O21  1  0.500  0.000  0.708  1.0
  O  O22  1  0.000  0.500  0.707  1.0
  O  O23  1  0.000  0.000  0.707  1.0
  O  O24  1  0.750  0.500  0.043  1.0
  O  O25  1  0.750  0.000  0.043  1.0
  O  O26  1  0.250  0.500  0.043  1.0
  O  O27  1  0.250  0.000  0.043  1.0
  O  O28  1  0.750  0.750  0.793  1.0
  O  O29  1  0.750  0.250  0.793  1.0
  O  O30  1  0.250  0.750  0.793  1.0
  O  O31  1  0.250  0.250  0.793  1.0
  O  O32  1  0.753  0.500  0.456  1.0
  O  O33  1  0.750  0.000  0.457  1.0
  O  O34  1  0.247  0.500  0.456  1.0
  O  O35  1  0.250  0.000  0.457  1.0
  O  O36  1  0.750  0.750  0.207  1.0
  O  O37  1  0.750  0.250  0.207  1.0
  O  O38  1  0.250  0.750  0.207  1.0
  O  O39  1  0.250  0.250  0.207  1.0
  O  O40  1  0.500  0.753  0.544  1.0
  O  O41  1  0.500  0.247  0.544  1.0
  O  O42  1  0.000  0.750  0.543  1.0
  O  O43  1  0.000  0.250  0.543  1.0
  O  O44  1  0.500  0.500  0.290  1.0
  O  O45  1  0.500  0.000  0.293  1.0
  O  O46  1  0.000  0.500  0.292  1.0
  O  O47  1  0.000  0.000  0.293  1.0
[/CIF]
.