The material structure described by Na6Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(14), one O(3), and two equivalent O(4) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. In the second Na site, Na(2) is bonded to one O(1), one O(8), and two equivalent O(2) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-72°. In the third Na site, Na(3) is bonded to one O(15), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(3)O6 octahedra. In the fourth Na site, Na(4) is bonded to one O(13), one O(5), and two equivalent O(6) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-72°. In the fifth Na site, Na(5) is bonded to one O(10), one O(17), and two equivalent O(7) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-73°. In the sixth Na site, Na(6) is bonded to one O(12), one O(15), and two equivalent O(11) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-72°. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(18), one O(3), two equivalent O(16), and two equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. In the third Ti site, Ti(3) is bonded to one O(10), one O(13), one O(15), one O(6), one O(7), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to one O(5), one O(9), two equivalent O(2), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(13), two equivalent O(2), and two equivalent O(6) atoms to form distorted TiO6 octahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(12), two equivalent O(11), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with three equivalent Na(5)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. In the seventh Ti site, Ti(7) is bonded to one O(11), one O(12), one O(14), one O(16), one O(17), and one O(18) atom to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(7)O6 octahedra, and edges with two equivalent Ti(8)O6 octahedra. In the eighth Ti site, Ti(8) is bonded to one O(14), one O(17), two equivalent O(11), and two equivalent O(16) atoms to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(7)O6 octahedra. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Ti(5), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with two equivalent O(4)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, and edges with two equivalent O(2)NaTi3 tetrahedra. In the second O site, O(2) is bonded to one Na(2), one Ti(1), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(2)NaTi3 tetrahedra,  a cornercorner with one O(3)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra, corners with three equivalent O(4)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra, and  an edgeedge with one O(2)NaTi3 tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Ti(2), and two equivalent Ti(1) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fourth O site, O(4) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(4) atom to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifth O site, O(5) is bonded to one Na(4), one Ti(4), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(1)NaTi3 tetrahedra, corners with four equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(3)NaTi3 tetrahedra, and edges with two equivalent O(4)NaTi3 tetrahedra. In the sixth O site, O(6) is bonded to one Na(3), one Na(4), one Ti(3), and one Ti(5) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with three equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra,  an edgeedge with one O(6)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(13)NaTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Na(5), one Ti(3), and one Ti(6) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(7)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with three equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(7)Na2Ti2 trigonal pyramid,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Na(2), one Na(3), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with three equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(13)NaTi3 trigonal pyramids, corners with four equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(10)NaTi3 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Ti(4) and two equivalent Ti(1) atoms. In the tenth O site, O(10) is bonded to one Na(5), one Ti(6), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(13)NaTi3 trigonal pyramids,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Na(6), one Ti(6), one Ti(7), and one Ti(8) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra,  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(12)NaTi3 tetrahedra, and  an edgeedge with one O(14)NaTi3 tetrahedra. In the twelfth O site, O(12) is bonded to one Na(6), one Ti(6), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(14)NaTi3 tetrahedra, and edges with two equivalent O(11)NaTi3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Na(4), one Ti(5), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Na(1), one Ti(8), and two equivalent Ti(7) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifteenth O site, O(15) is bonded to one Na(3), one Na(6), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 tetrahedra that share  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(10)NaTi3 trigonal pyramids, corners with three equivalent O(8)Na2Ti2 trigonal pyramids, corners with four equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(13)NaTi3 trigonal pyramid, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(7), and one Ti(8) atom. In the seventeenth O site, O(17) is bonded to one Na(5), one Ti(8), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(12)NaTi3 tetrahedra, corners with three equivalent O(14)NaTi3 tetrahedra, corners with four equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, and corners with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2) and two equivalent Ti(7) atoms. is represented by the CIF file [CIF]
data_Na6Ti11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.215
_cell_length_b   6.215
_cell_length_c   15.084
_cell_angle_alpha   88.952
_cell_angle_beta   88.952
_cell_angle_gamma   58.743
_symmetry_Int_Tables_number   1
_cell_volume   497.994
_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  0.663  0.663  0.916  1.0
  Na  Na1  1  0.670  0.670  0.664  1.0
  Na  Na2  1  0.833  0.833  0.458  1.0
  Na  Na3  1  0.335  0.335  0.585  1.0
  Na  Na4  1  0.332  0.332  0.332  1.0
  Na  Na5  1  0.997  0.997  0.250  1.0
  Ti  Ti6  1  0.166  0.670  0.795  1.0
  Ti  Ti7  1  0.335  0.335  0.962  1.0
  Ti  Ti8  1  0.670  0.166  0.795  1.0
  Ti  Ti9  1  0.334  0.832  0.457  1.0
  Ti  Ti10  1  0.164  0.164  0.796  1.0
  Ti  Ti11  1  0.002  0.002  0.620  1.0
  Ti  Ti12  1  0.832  0.334  0.457  1.0
  Ti  Ti13  1  0.667  0.667  0.294  1.0
  Ti  Ti14  1  0.001  0.498  0.121  1.0
  Ti  Ti15  1  0.500  0.500  0.122  1.0
  Ti  Ti16  1  0.498  0.001  0.121  1.0
  O  O17  1  0.863  0.863  0.716  1.0
  O  O18  1  0.289  0.861  0.722  1.0
  O  O19  1  0.474  0.474  0.869  1.0
  O  O20  1  0.051  0.477  0.870  1.0
  O  O21  1  0.477  0.051  0.870  1.0
  O  O22  1  0.334  0.334  0.730  1.0
  O  O23  1  0.170  0.726  0.548  1.0
  O  O24  1  0.496  0.940  0.369  1.0
  O  O25  1  0.861  0.289  0.722  1.0
  O  O26  1  0.648  0.648  0.521  1.0
  O  O27  1  0.998  0.998  0.860  1.0
  O  O28  1  0.940  0.496  0.369  1.0
  O  O29  1  0.517  0.517  0.381  1.0
  O  O30  1  0.380  0.804  0.196  1.0
  O  O31  1  0.726  0.170  0.548  1.0
  O  O32  1  0.804  0.804  0.202  1.0
  O  O33  1  0.149  0.149  0.536  1.0
  O  O34  1  0.804  0.380  0.196  1.0
  O  O35  1  0.669  0.669  0.058  1.0
  O  O36  1  0.018  0.018  0.395  1.0
  O  O37  1  0.189  0.617  0.046  1.0
  O  O38  1  0.333  0.333  0.187  1.0
  O  O39  1  0.617  0.189  0.046  1.0
  O  O40  1  0.192  0.192  0.048  1.0
[/CIF]
.
The material structure described by Na6Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(14), one O(3), and two equivalent O(4) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. In the second Na site, Na(2) is bonded to one O(1), one O(8), and two equivalent O(2) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-72°. In the third Na site, Na(3) is bonded to one O(15), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(3)O6 octahedra. In the fourth Na site, Na(4) is bonded to one O(13), one O(5), and two equivalent O(6) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-72°. In the fifth Na site, Na(5) is bonded to one O(10), one O(17), and two equivalent O(7) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-73°. In the sixth Na site, Na(6) is bonded to one O(12), one O(15), and two equivalent O(11) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-72°. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(18), one O(3), two equivalent O(16), and two equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. In the third Ti site, Ti(3) is bonded to one O(10), one O(13), one O(15), one O(6), one O(7), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to one O(5), one O(9), two equivalent O(2), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(13), two equivalent O(2), and two equivalent O(6) atoms to form distorted TiO6 octahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(12), two equivalent O(11), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with three equivalent Na(5)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. In the seventh Ti site, Ti(7) is bonded to one O(11), one O(12), one O(14), one O(16), one O(17), and one O(18) atom to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(7)O6 octahedra, and edges with two equivalent Ti(8)O6 octahedra. In the eighth Ti site, Ti(8) is bonded to one O(14), one O(17), two equivalent O(11), and two equivalent O(16) atoms to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(7)O6 octahedra. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Ti(5), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with two equivalent O(4)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, and edges with two equivalent O(2)NaTi3 tetrahedra. In the second O site, O(2) is bonded to one Na(2), one Ti(1), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(2)NaTi3 tetrahedra,  a cornercorner with one O(3)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra, corners with three equivalent O(4)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra, and  an edgeedge with one O(2)NaTi3 tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Ti(2), and two equivalent Ti(1) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fourth O site, O(4) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(4) atom to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifth O site, O(5) is bonded to one Na(4), one Ti(4), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(1)NaTi3 tetrahedra, corners with four equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(3)NaTi3 tetrahedra, and edges with two equivalent O(4)NaTi3 tetrahedra. In the sixth O site, O(6) is bonded to one Na(3), one Na(4), one Ti(3), and one Ti(5) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with three equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra,  an edgeedge with one O(6)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(13)NaTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Na(5), one Ti(3), and one Ti(6) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(7)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with three equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(7)Na2Ti2 trigonal pyramid,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Na(2), one Na(3), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with three equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(13)NaTi3 trigonal pyramids, corners with four equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(10)NaTi3 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Ti(4) and two equivalent Ti(1) atoms. In the tenth O site, O(10) is bonded to one Na(5), one Ti(6), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(13)NaTi3 trigonal pyramids,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Na(6), one Ti(6), one Ti(7), and one Ti(8) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra,  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(12)NaTi3 tetrahedra, and  an edgeedge with one O(14)NaTi3 tetrahedra. In the twelfth O site, O(12) is bonded to one Na(6), one Ti(6), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(14)NaTi3 tetrahedra, and edges with two equivalent O(11)NaTi3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Na(4), one Ti(5), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Na(1), one Ti(8), and two equivalent Ti(7) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifteenth O site, O(15) is bonded to one Na(3), one Na(6), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 tetrahedra that share  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(10)NaTi3 trigonal pyramids, corners with three equivalent O(8)Na2Ti2 trigonal pyramids, corners with four equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(13)NaTi3 trigonal pyramid, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(7), and one Ti(8) atom. In the seventeenth O site, O(17) is bonded to one Na(5), one Ti(8), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(12)NaTi3 tetrahedra, corners with three equivalent O(14)NaTi3 tetrahedra, corners with four equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, and corners with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2) and two equivalent Ti(7) atoms. is represented by the CIF file [CIF]
data_Na6Ti11O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.215
_cell_length_b   6.215
_cell_length_c   15.084
_cell_angle_alpha   88.952
_cell_angle_beta   88.952
_cell_angle_gamma   58.743
_symmetry_Int_Tables_number   1
_cell_volume   497.994
_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  0.663  0.663  0.916  1.0
  Na  Na1  1  0.670  0.670  0.664  1.0
  Na  Na2  1  0.833  0.833  0.458  1.0
  Na  Na3  1  0.335  0.335  0.585  1.0
  Na  Na4  1  0.332  0.332  0.332  1.0
  Na  Na5  1  0.997  0.997  0.250  1.0
  Ti  Ti6  1  0.166  0.670  0.795  1.0
  Ti  Ti7  1  0.335  0.335  0.962  1.0
  Ti  Ti8  1  0.670  0.166  0.795  1.0
  Ti  Ti9  1  0.334  0.832  0.457  1.0
  Ti  Ti10  1  0.164  0.164  0.796  1.0
  Ti  Ti11  1  0.002  0.002  0.620  1.0
  Ti  Ti12  1  0.832  0.334  0.457  1.0
  Ti  Ti13  1  0.667  0.667  0.294  1.0
  Ti  Ti14  1  0.001  0.498  0.121  1.0
  Ti  Ti15  1  0.500  0.500  0.122  1.0
  Ti  Ti16  1  0.498  0.001  0.121  1.0
  O  O17  1  0.863  0.863  0.716  1.0
  O  O18  1  0.289  0.861  0.722  1.0
  O  O19  1  0.474  0.474  0.869  1.0
  O  O20  1  0.051  0.477  0.870  1.0
  O  O21  1  0.477  0.051  0.870  1.0
  O  O22  1  0.334  0.334  0.730  1.0
  O  O23  1  0.170  0.726  0.548  1.0
  O  O24  1  0.496  0.940  0.369  1.0
  O  O25  1  0.861  0.289  0.722  1.0
  O  O26  1  0.648  0.648  0.521  1.0
  O  O27  1  0.998  0.998  0.860  1.0
  O  O28  1  0.940  0.496  0.369  1.0
  O  O29  1  0.517  0.517  0.381  1.0
  O  O30  1  0.380  0.804  0.196  1.0
  O  O31  1  0.726  0.170  0.548  1.0
  O  O32  1  0.804  0.804  0.202  1.0
  O  O33  1  0.149  0.149  0.536  1.0
  O  O34  1  0.804  0.380  0.196  1.0
  O  O35  1  0.669  0.669  0.058  1.0
  O  O36  1  0.018  0.018  0.395  1.0
  O  O37  1  0.189  0.617  0.046  1.0
  O  O38  1  0.333  0.333  0.187  1.0
  O  O39  1  0.617  0.189  0.046  1.0
  O  O40  1  0.192  0.192  0.048  1.0
[/CIF]
.