The crystal structure described by Na4Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(11), one O(3), one O(5), and one O(9) atom to form NaO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, and corners with three equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-69°. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to one O(12), one O(7), two equivalent O(13), and two equivalent O(3) atoms. In the third Na site, Na(3) is bonded to one O(1), one O(7), and two equivalent O(14) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-71°. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), two equivalent O(13), and two equivalent O(3) atoms to form TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(6)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(3), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra, corners with two 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 third Ti site, Ti(3) is bonded to one O(10), one O(11), one O(4), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(14), one O(4), one O(5), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to one O(11), one O(14), one O(4), one O(5), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. In the sixth Ti site, Ti(6) is bonded to one O(11), one O(12), one O(13), one O(14), one O(2), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  an edgeedge with one Ti(6)O6 octahedra. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Na(3), one Ti(1), and two equivalent Ti(2) atoms. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Ti(1) and two equivalent Ti(6) atoms. In the third O site, O(3) is bonded to one Na(1), one Na(2), one Ti(1), and one Ti(2) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra,  a cornercorner with one O(9)NaTi3 tetrahedra,  an edgeedge with one O(3)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(7)Na2Ti2 trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Ti(3), one Ti(4), and one Ti(5) atom. In the fifth O site, O(5) is bonded to one Na(1), one Ti(3), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(9)NaTi3 tetrahedra,  a cornercorner with one O(3)Na2Ti2 trigonal pyramid,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(14)NaTi3 tetrahedra, and  an edgeedge with one O(9)NaTi3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(4), and one Ti(5) atom. In the seventh O site, O(7) is bonded to one Na(2), one Na(3), and two equivalent Ti(2) atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with two equivalent O(14)NaTi3 tetrahedra and edges with two equivalent O(3)Na2Ti2 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Ti(5) atom. In the ninth O site, O(9) is bonded to one Na(1), one Ti(3), one Ti(4), and one Ti(6) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra,  a cornercorner with one O(3)Na2Ti2 trigonal pyramid,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(14)NaTi3 tetrahedra, and  an edgeedge with one O(5)NaTi3 tetrahedra. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Ti(4) atom. In the eleventh O site, O(11) is bonded to one Na(1), one Ti(3), one Ti(5), and one Ti(6) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(5)NaTi3 tetrahedra,  a cornercorner with one O(9)NaTi3 tetrahedra,  a cornercorner with one O(3)Na2Ti2 trigonal pyramid,  an edgeedge with one O(14)NaTi3 tetrahedra,  an edgeedge with one O(5)NaTi3 tetrahedra, and  an edgeedge with one O(9)NaTi3 tetrahedra. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Na(2) and two equivalent Ti(6) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Na(2), one Ti(1), and one Ti(6) atom. In the fourteenth O site, O(14) is bonded to one Na(3), one Ti(4), one Ti(5), and one Ti(6) atom to form distorted ONaTi3 tetrahedra that share  a cornercorner with one O(14)NaTi3 tetrahedra,  a cornercorner with one O(7)Na2Ti2 trigonal pyramid,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(5)NaTi3 tetrahedra, and  an edgeedge with one O(9)NaTi3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na4Ti11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.503
_cell_length_b   10.503
_cell_length_c   6.155
_cell_angle_alpha   73.956
_cell_angle_beta   73.956
_cell_angle_gamma   119.974
_symmetry_Int_Tables_number   1
_cell_volume   490.288
_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  0.742  0.419  0.769  1.0
  Na  Na1  1  0.419  0.742  0.769  1.0
  Na  Na2  1  0.709  0.709  0.874  1.0
  Na  Na3  1  0.092  0.092  0.728  1.0
  Ti  Ti4  1  0.707  0.707  0.370  1.0
  Ti  Ti5  1  0.876  0.039  0.357  1.0
  Ti  Ti6  1  0.710  0.208  0.374  1.0
  Ti  Ti7  1  0.039  0.876  0.357  1.0
  Ti  Ti8  1  0.377  0.038  0.879  1.0
  Ti  Ti9  1  0.038  0.376  0.373  1.0
  Ti  Ti10  1  0.208  0.710  0.374  1.0
  Ti  Ti11  1  0.539  0.378  0.393  1.0
  Ti  Ti12  1  0.378  0.539  0.393  1.0
  Ti  Ti13  1  0.376  0.038  0.373  1.0
  Ti  Ti14  1  0.038  0.377  0.879  1.0
  O  O15  1  0.941  0.941  0.150  1.0
  O  O16  1  0.477  0.477  0.601  1.0
  O  O17  1  0.673  0.826  0.554  1.0
  O  O18  1  0.826  0.673  0.554  1.0
  O  O19  1  0.942  0.429  0.158  1.0
  O  O20  1  0.474  0.988  0.593  1.0
  O  O21  1  0.307  0.103  0.120  1.0
  O  O22  1  0.103  0.307  0.120  1.0
  O  O23  1  0.986  0.986  0.515  1.0
  O  O24  1  0.817  0.146  0.555  1.0
  O  O25  1  0.605  0.262  0.623  1.0
  O  O26  1  0.146  0.817  0.555  1.0
  O  O27  1  0.155  0.811  0.126  1.0
  O  O28  1  0.600  0.269  0.196  1.0
  O  O29  1  0.269  0.600  0.196  1.0
  O  O30  1  0.428  0.428  0.236  1.0
  O  O31  1  0.988  0.474  0.593  1.0
  O  O32  1  0.429  0.942  0.158  1.0
  O  O33  1  0.745  0.592  0.196  1.0
  O  O34  1  0.592  0.745  0.196  1.0
  O  O35  1  0.317  0.112  0.628  1.0
  O  O36  1  0.112  0.317  0.628  1.0
  O  O37  1  0.262  0.605  0.623  1.0
  O  O38  1  0.811  0.155  0.126  1.0
[/CIF]
.
The crystal structure described by Na4Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(11), one O(3), one O(5), and one O(9) atom to form NaO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, and corners with three equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-69°. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to one O(12), one O(7), two equivalent O(13), and two equivalent O(3) atoms. In the third Na site, Na(3) is bonded to one O(1), one O(7), and two equivalent O(14) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-71°. There are six inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), two equivalent O(13), and two equivalent O(3) atoms to form TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(6)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(3), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra, corners with two 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 third Ti site, Ti(3) is bonded to one O(10), one O(11), one O(4), one O(5), one O(8), and one O(9) atom to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(14), one O(4), one O(5), one O(6), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to one O(11), one O(14), one O(4), one O(5), one O(6), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. In the sixth Ti site, Ti(6) is bonded to one O(11), one O(12), one O(13), one O(14), one O(2), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Na(3)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and  an edgeedge with one Ti(6)O6 octahedra. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Na(3), one Ti(1), and two equivalent Ti(2) atoms. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Ti(1) and two equivalent Ti(6) atoms. In the third O site, O(3) is bonded to one Na(1), one Na(2), one Ti(1), and one Ti(2) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra,  a cornercorner with one O(9)NaTi3 tetrahedra,  an edgeedge with one O(3)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(7)Na2Ti2 trigonal pyramid. In the fourth O site, O(4) is bonded in a distorted T-shaped geometry to one Ti(3), one Ti(4), and one Ti(5) atom. In the fifth O site, O(5) is bonded to one Na(1), one Ti(3), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(9)NaTi3 tetrahedra,  a cornercorner with one O(3)Na2Ti2 trigonal pyramid,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(14)NaTi3 tetrahedra, and  an edgeedge with one O(9)NaTi3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(4), and one Ti(5) atom. In the seventh O site, O(7) is bonded to one Na(2), one Na(3), and two equivalent Ti(2) atoms to form distorted ONa2Ti2 trigonal pyramids that share corners with two equivalent O(14)NaTi3 tetrahedra and edges with two equivalent O(3)Na2Ti2 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Ti(5) atom. In the ninth O site, O(9) is bonded to one Na(1), one Ti(3), one Ti(4), and one Ti(6) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra,  a cornercorner with one O(3)Na2Ti2 trigonal pyramid,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(14)NaTi3 tetrahedra, and  an edgeedge with one O(5)NaTi3 tetrahedra. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(3), and one Ti(4) atom. In the eleventh O site, O(11) is bonded to one Na(1), one Ti(3), one Ti(5), and one Ti(6) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(5)NaTi3 tetrahedra,  a cornercorner with one O(9)NaTi3 tetrahedra,  a cornercorner with one O(3)Na2Ti2 trigonal pyramid,  an edgeedge with one O(14)NaTi3 tetrahedra,  an edgeedge with one O(5)NaTi3 tetrahedra, and  an edgeedge with one O(9)NaTi3 tetrahedra. In the twelfth O site, O(12) is bonded in a 3-coordinate geometry to one Na(2) and two equivalent Ti(6) atoms. In the thirteenth O site, O(13) is bonded in a distorted trigonal non-coplanar geometry to one Na(2), one Ti(1), and one Ti(6) atom. In the fourteenth O site, O(14) is bonded to one Na(3), one Ti(4), one Ti(5), and one Ti(6) atom to form distorted ONaTi3 tetrahedra that share  a cornercorner with one O(14)NaTi3 tetrahedra,  a cornercorner with one O(7)Na2Ti2 trigonal pyramid,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(5)NaTi3 tetrahedra, and  an edgeedge with one O(9)NaTi3 tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Na4Ti11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.503
_cell_length_b   10.503
_cell_length_c   6.155
_cell_angle_alpha   73.956
_cell_angle_beta   73.956
_cell_angle_gamma   119.974
_symmetry_Int_Tables_number   1
_cell_volume   490.288
_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  0.742  0.419  0.769  1.0
  Na  Na1  1  0.419  0.742  0.769  1.0
  Na  Na2  1  0.709  0.709  0.874  1.0
  Na  Na3  1  0.092  0.092  0.728  1.0
  Ti  Ti4  1  0.707  0.707  0.370  1.0
  Ti  Ti5  1  0.876  0.039  0.357  1.0
  Ti  Ti6  1  0.710  0.208  0.374  1.0
  Ti  Ti7  1  0.039  0.876  0.357  1.0
  Ti  Ti8  1  0.377  0.038  0.879  1.0
  Ti  Ti9  1  0.038  0.376  0.373  1.0
  Ti  Ti10  1  0.208  0.710  0.374  1.0
  Ti  Ti11  1  0.539  0.378  0.393  1.0
  Ti  Ti12  1  0.378  0.539  0.393  1.0
  Ti  Ti13  1  0.376  0.038  0.373  1.0
  Ti  Ti14  1  0.038  0.377  0.879  1.0
  O  O15  1  0.941  0.941  0.150  1.0
  O  O16  1  0.477  0.477  0.601  1.0
  O  O17  1  0.673  0.826  0.554  1.0
  O  O18  1  0.826  0.673  0.554  1.0
  O  O19  1  0.942  0.429  0.158  1.0
  O  O20  1  0.474  0.988  0.593  1.0
  O  O21  1  0.307  0.103  0.120  1.0
  O  O22  1  0.103  0.307  0.120  1.0
  O  O23  1  0.986  0.986  0.515  1.0
  O  O24  1  0.817  0.146  0.555  1.0
  O  O25  1  0.605  0.262  0.623  1.0
  O  O26  1  0.146  0.817  0.555  1.0
  O  O27  1  0.155  0.811  0.126  1.0
  O  O28  1  0.600  0.269  0.196  1.0
  O  O29  1  0.269  0.600  0.196  1.0
  O  O30  1  0.428  0.428  0.236  1.0
  O  O31  1  0.988  0.474  0.593  1.0
  O  O32  1  0.429  0.942  0.158  1.0
  O  O33  1  0.745  0.592  0.196  1.0
  O  O34  1  0.592  0.745  0.196  1.0
  O  O35  1  0.317  0.112  0.628  1.0
  O  O36  1  0.112  0.317  0.628  1.0
  O  O37  1  0.262  0.605  0.623  1.0
  O  O38  1  0.811  0.155  0.126  1.0
[/CIF]
.