The material structure described by Na7Ti11O24 is Spinel-like structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), one O(3), and one O(6) atom to form NaO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-67°. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to two equivalent O(4) and four equivalent O(6) atoms. In the third Na site, Na(3) is bonded to one O(4), one O(5), and two equivalent O(7) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, and corners with six equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-69°. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  an edgeedge with one Ti(5)O6 octahedra. In the second Ti site, Ti(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form TiO6 octahedra that share corners with six equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the third Ti site, Ti(3) is bonded to two equivalent O(5) and four equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, and edges with four equivalent Ti(1)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Ti(2), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share corners with two equivalent O(7)NaTi3 tetrahedra, corners with three equivalent O(1)NaTi3 tetrahedra, corners with three equivalent O(2)NaTi3 tetrahedra, corners with three equivalent O(3)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid,  an edgeedge with one O(2)NaTi3 tetrahedra,  an edgeedge with one O(3)NaTi3 tetrahedra, and  an edgeedge with one O(7)NaTi3 tetrahedra. In the second O site, O(2) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(7)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with three equivalent O(1)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra,  an edgeedge with one O(3)NaTi3 tetrahedra, and  an edgeedge with one O(7)NaTi3 tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(4) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(7)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with three equivalent O(1)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra,  an edgeedge with one O(2)NaTi3 tetrahedra, and  an edgeedge with one O(7)NaTi3 tetrahedra. In the fourth O site, O(4) is bonded to one Na(2), one Na(3), and two equivalent Ti(1) atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with four equivalent O(7)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Na(3), one Ti(3), and two equivalent Ti(1) atoms. In the sixth O site, O(6) is bonded to one Na(1), one Na(2), one Ti(1), and one Ti(3) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(7)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with four equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(4)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(6)Na2Ti2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Ti(1), one Ti(4), and one Ti(5) atom to form distorted ONaTi3 tetrahedra that share  a cornercorner with one O(2)NaTi3 tetrahedra,  a cornercorner with one O(3)NaTi3 tetrahedra, corners with two equivalent O(1)NaTi3 tetrahedra, corners with three equivalent O(7)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid, corners with two equivalent O(4)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra,  an edgeedge with one O(2)NaTi3 tetrahedra, and  an edgeedge with one O(3)NaTi3 tetrahedra. is represented by the CIF card [CIF]
data_Na7Ti11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.623
_cell_length_b   10.623
_cell_length_c   6.232
_cell_angle_alpha   73.913
_cell_angle_beta   73.913
_cell_angle_gamma   120.116
_symmetry_Int_Tables_number   1
_cell_volume   505.935
_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
  Na  Na0  1  0.465  0.789  0.609  1.0
  Na  Na1  1  0.500  0.500  0.500  1.0
  Na  Na2  1  0.535  0.211  0.391  1.0
  Na  Na3  1  0.211  0.535  0.391  1.0
  Na  Na4  1  0.116  0.116  0.647  1.0
  Na  Na5  1  0.884  0.884  0.353  1.0
  Na  Na6  1  0.789  0.465  0.609  1.0
  Ti  Ti7  1  0.670  0.835  0.980  1.0
  Ti  Ti8  1  0.500  0.000  0.000  1.0
  Ti  Ti9  1  0.500  0.500  0.000  1.0
  Ti  Ti10  1  0.330  0.165  0.020  1.0
  Ti  Ti11  1  0.000  0.500  0.000  1.0
  Ti  Ti12  1  0.165  0.330  0.020  1.0
  Ti  Ti13  1  0.170  0.830  0.000  1.0
  Ti  Ti14  1  0.830  0.170  0.000  1.0
  Ti  Ti15  1  0.171  0.829  0.500  1.0
  Ti  Ti16  1  0.829  0.171  0.500  1.0
  Ti  Ti17  1  0.835  0.670  0.980  1.0
  O  O18  1  0.779  0.264  0.223  1.0
  O  O19  1  0.736  0.221  0.777  1.0
  O  O20  1  0.603  0.945  0.754  1.0
  O  O21  1  0.608  0.935  0.180  1.0
  O  O22  1  0.778  0.778  0.139  1.0
  O  O23  1  0.730  0.730  0.776  1.0
  O  O24  1  0.615  0.465  0.180  1.0
  O  O25  1  0.264  0.779  0.223  1.0
  O  O26  1  0.465  0.615  0.180  1.0
  O  O27  1  0.535  0.385  0.820  1.0
  O  O28  1  0.385  0.535  0.820  1.0
  O  O29  1  0.221  0.736  0.777  1.0
  O  O30  1  0.222  0.222  0.861  1.0
  O  O31  1  0.270  0.270  0.224  1.0
  O  O32  1  0.397  0.055  0.246  1.0
  O  O33  1  0.055  0.397  0.246  1.0
  O  O34  1  0.392  0.065  0.820  1.0
  O  O35  1  0.065  0.392  0.820  1.0
  O  O36  1  0.111  0.908  0.249  1.0
  O  O37  1  0.908  0.111  0.249  1.0
  O  O38  1  0.092  0.889  0.751  1.0
  O  O39  1  0.889  0.092  0.751  1.0
  O  O40  1  0.945  0.603  0.754  1.0
  O  O41  1  0.935  0.608  0.180  1.0
[/CIF]
.
The material structure described by Na7Ti11O24 is Spinel-like structured and crystallizes in the monoclinic C2/m space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(2), one O(3), and one O(6) atom to form NaO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-67°. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to two equivalent O(4) and four equivalent O(6) atoms. In the third Na site, Na(3) is bonded to one O(4), one O(5), and two equivalent O(7) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, and corners with six equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-69°. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra, corners with three equivalent Na(3)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  an edgeedge with one Ti(5)O6 octahedra. In the second Ti site, Ti(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form TiO6 octahedra that share corners with six equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the third Ti site, Ti(3) is bonded to two equivalent O(5) and four equivalent O(6) atoms to form TiO6 octahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, and edges with four equivalent Ti(1)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with two equivalent Na(3)O4 tetrahedra, corners with four equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Ti(2), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share corners with two equivalent O(7)NaTi3 tetrahedra, corners with three equivalent O(1)NaTi3 tetrahedra, corners with three equivalent O(2)NaTi3 tetrahedra, corners with three equivalent O(3)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid,  an edgeedge with one O(2)NaTi3 tetrahedra,  an edgeedge with one O(3)NaTi3 tetrahedra, and  an edgeedge with one O(7)NaTi3 tetrahedra. In the second O site, O(2) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(7)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with three equivalent O(1)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra,  an edgeedge with one O(3)NaTi3 tetrahedra, and  an edgeedge with one O(7)NaTi3 tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(4) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(7)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with three equivalent O(1)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra,  an edgeedge with one O(2)NaTi3 tetrahedra, and  an edgeedge with one O(7)NaTi3 tetrahedra. In the fourth O site, O(4) is bonded to one Na(2), one Na(3), and two equivalent Ti(1) atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with four equivalent O(7)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Na(3), one Ti(3), and two equivalent Ti(1) atoms. In the sixth O site, O(6) is bonded to one Na(1), one Na(2), one Ti(1), and one Ti(3) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(7)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra,  a cornercorner with one O(4)Na2Ti2 trigonal pyramid, corners with four equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(4)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(6)Na2Ti2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Ti(1), one Ti(4), and one Ti(5) atom to form distorted ONaTi3 tetrahedra that share  a cornercorner with one O(2)NaTi3 tetrahedra,  a cornercorner with one O(3)NaTi3 tetrahedra, corners with two equivalent O(1)NaTi3 tetrahedra, corners with three equivalent O(7)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid, corners with two equivalent O(4)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra,  an edgeedge with one O(2)NaTi3 tetrahedra, and  an edgeedge with one O(3)NaTi3 tetrahedra. is represented by the CIF card [CIF]
data_Na7Ti11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.623
_cell_length_b   10.623
_cell_length_c   6.232
_cell_angle_alpha   73.913
_cell_angle_beta   73.913
_cell_angle_gamma   120.116
_symmetry_Int_Tables_number   1
_cell_volume   505.935
_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
  Na  Na0  1  0.465  0.789  0.609  1.0
  Na  Na1  1  0.500  0.500  0.500  1.0
  Na  Na2  1  0.535  0.211  0.391  1.0
  Na  Na3  1  0.211  0.535  0.391  1.0
  Na  Na4  1  0.116  0.116  0.647  1.0
  Na  Na5  1  0.884  0.884  0.353  1.0
  Na  Na6  1  0.789  0.465  0.609  1.0
  Ti  Ti7  1  0.670  0.835  0.980  1.0
  Ti  Ti8  1  0.500  0.000  0.000  1.0
  Ti  Ti9  1  0.500  0.500  0.000  1.0
  Ti  Ti10  1  0.330  0.165  0.020  1.0
  Ti  Ti11  1  0.000  0.500  0.000  1.0
  Ti  Ti12  1  0.165  0.330  0.020  1.0
  Ti  Ti13  1  0.170  0.830  0.000  1.0
  Ti  Ti14  1  0.830  0.170  0.000  1.0
  Ti  Ti15  1  0.171  0.829  0.500  1.0
  Ti  Ti16  1  0.829  0.171  0.500  1.0
  Ti  Ti17  1  0.835  0.670  0.980  1.0
  O  O18  1  0.779  0.264  0.223  1.0
  O  O19  1  0.736  0.221  0.777  1.0
  O  O20  1  0.603  0.945  0.754  1.0
  O  O21  1  0.608  0.935  0.180  1.0
  O  O22  1  0.778  0.778  0.139  1.0
  O  O23  1  0.730  0.730  0.776  1.0
  O  O24  1  0.615  0.465  0.180  1.0
  O  O25  1  0.264  0.779  0.223  1.0
  O  O26  1  0.465  0.615  0.180  1.0
  O  O27  1  0.535  0.385  0.820  1.0
  O  O28  1  0.385  0.535  0.820  1.0
  O  O29  1  0.221  0.736  0.777  1.0
  O  O30  1  0.222  0.222  0.861  1.0
  O  O31  1  0.270  0.270  0.224  1.0
  O  O32  1  0.397  0.055  0.246  1.0
  O  O33  1  0.055  0.397  0.246  1.0
  O  O34  1  0.392  0.065  0.820  1.0
  O  O35  1  0.065  0.392  0.820  1.0
  O  O36  1  0.111  0.908  0.249  1.0
  O  O37  1  0.908  0.111  0.249  1.0
  O  O38  1  0.092  0.889  0.751  1.0
  O  O39  1  0.889  0.092  0.751  1.0
  O  O40  1  0.945  0.603  0.754  1.0
  O  O41  1  0.935  0.608  0.180  1.0
[/CIF]
.