The material structure described by NaAl11O17 crystallizes in the trigonal R3m space group. Na(1) is bonded in a 4-coordinate geometry to one O(9) and three equivalent O(5) atoms. There are seven inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(9), two equivalent O(3), and two equivalent O(6) atoms to form AlO6 octahedra that share  a cornercorner with one Al(5)O4 tetrahedra, corners with two equivalent Al(4)O4 tetrahedra, corners with two equivalent Al(6)O4 tetrahedra,  an edgeedge with one Al(2)O6 octahedra, and edges with four equivalent Al(1)O6 octahedra. In the second Al site, Al(2) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form AlO6 octahedra that share corners with three equivalent Al(5)O4 tetrahedra, corners with three equivalent Al(6)O4 tetrahedra, edges with three equivalent Al(1)O6 octahedra, and edges with three equivalent Al(7)O6 octahedra. In the third Al site, Al(3) is bonded to one O(7) and three equivalent O(5) atoms to form AlO4 tetrahedra that share corners with six equivalent Al(7)O6 octahedra and  a cornercorner with one Al(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. In the fourth Al site, Al(4) is bonded to one O(7) and three equivalent O(6) atoms to form AlO4 tetrahedra that share corners with six equivalent Al(1)O6 octahedra and  a cornercorner with one Al(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Al site, Al(5) is bonded to one O(1) and three equivalent O(4) atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the sixth Al site, Al(6) is bonded to one O(8) and three equivalent O(3) atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-59°. In the seventh Al site, Al(7) is bonded to one O(2), one O(8), two equivalent O(4), and two equivalent O(5) atoms to form AlO6 octahedra that share  a cornercorner with one Al(6)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra, corners with two equivalent Al(5)O4 tetrahedra,  an edgeedge with one Al(2)O6 octahedra, and edges with four equivalent Al(7)O6 octahedra. There are nine inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Al(5) and three equivalent Al(1) atoms. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to three equivalent Al(7) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Al(2), one Al(6), and two equivalent Al(1) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Al(2), one Al(5), and two equivalent Al(7) atoms. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Na(1), one Al(3), and two equivalent Al(7) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Al(4) and two equivalent Al(1) atoms. In the seventh O site, O(7) is bonded in a linear geometry to one Al(3) and one Al(4) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Al(6) and three equivalent Al(7) atoms. In the ninth O site, O(9) is bonded in a distorted tetrahedral geometry to one Na(1) and three equivalent Al(1) atoms. is represented by the CIF card [CIF]
data_NaAl11O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.728
_cell_length_b   11.728
_cell_length_c   11.728
_cell_angle_alpha   27.586
_cell_angle_beta   27.586
_cell_angle_gamma   27.586
_symmetry_Int_Tables_number   1
_cell_volume   305.355
_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  0.825  0.825  0.825  1.0
  Al  Al1  1  0.593  0.097  0.097  1.0
  Al  Al2  1  1.000  1.000  1.000  1.0
  Al  Al3  1  0.097  0.097  0.593  1.0
  Al  Al4  1  0.097  0.593  0.097  1.0
  Al  Al5  1  0.450  0.450  0.450  1.0
  Al  Al6  1  0.550  0.550  0.550  1.0
  Al  Al7  1  0.350  0.350  0.350  1.0
  Al  Al8  1  0.649  0.649  0.649  1.0
  Al  Al9  1  0.904  0.405  0.904  1.0
  Al  Al10  1  0.904  0.904  0.405  1.0
  Al  Al11  1  0.405  0.904  0.904  1.0
  O  O12  1  0.297  0.297  0.297  1.0
  O  O13  1  0.094  0.094  0.094  1.0
  O  O14  1  0.811  0.279  0.811  1.0
  O  O15  1  0.719  0.191  0.191  1.0
  O  O16  1  0.601  0.090  0.601  1.0
  O  O17  1  0.906  0.403  0.403  1.0
  O  O18  1  0.601  0.601  0.090  1.0
  O  O19  1  0.500  0.500  0.500  1.0
  O  O20  1  0.191  0.191  0.719  1.0
  O  O21  1  0.811  0.811  0.279  1.0
  O  O22  1  0.403  0.403  0.906  1.0
  O  O23  1  0.090  0.601  0.601  1.0
  O  O24  1  0.403  0.906  0.403  1.0
  O  O25  1  0.279  0.811  0.811  1.0
  O  O26  1  0.191  0.719  0.191  1.0
  O  O27  1  0.703  0.703  0.703  1.0
  O  O28  1  0.904  0.904  0.904  1.0
[/CIF]
.
The material structure described by NaAl11O17 crystallizes in the trigonal R3m space group. Na(1) is bonded in a 4-coordinate geometry to one O(9) and three equivalent O(5) atoms. There are seven inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(9), two equivalent O(3), and two equivalent O(6) atoms to form AlO6 octahedra that share  a cornercorner with one Al(5)O4 tetrahedra, corners with two equivalent Al(4)O4 tetrahedra, corners with two equivalent Al(6)O4 tetrahedra,  an edgeedge with one Al(2)O6 octahedra, and edges with four equivalent Al(1)O6 octahedra. In the second Al site, Al(2) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form AlO6 octahedra that share corners with three equivalent Al(5)O4 tetrahedra, corners with three equivalent Al(6)O4 tetrahedra, edges with three equivalent Al(1)O6 octahedra, and edges with three equivalent Al(7)O6 octahedra. In the third Al site, Al(3) is bonded to one O(7) and three equivalent O(5) atoms to form AlO4 tetrahedra that share corners with six equivalent Al(7)O6 octahedra and  a cornercorner with one Al(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. In the fourth Al site, Al(4) is bonded to one O(7) and three equivalent O(6) atoms to form AlO4 tetrahedra that share corners with six equivalent Al(1)O6 octahedra and  a cornercorner with one Al(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. In the fifth Al site, Al(5) is bonded to one O(1) and three equivalent O(4) atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-58°. In the sixth Al site, Al(6) is bonded to one O(8) and three equivalent O(3) atoms to form corner-sharing AlO4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-59°. In the seventh Al site, Al(7) is bonded to one O(2), one O(8), two equivalent O(4), and two equivalent O(5) atoms to form AlO6 octahedra that share  a cornercorner with one Al(6)O4 tetrahedra, corners with two equivalent Al(3)O4 tetrahedra, corners with two equivalent Al(5)O4 tetrahedra,  an edgeedge with one Al(2)O6 octahedra, and edges with four equivalent Al(7)O6 octahedra. There are nine inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Al(5) and three equivalent Al(1) atoms. In the second O site, O(2) is bonded in a trigonal non-coplanar geometry to three equivalent Al(7) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Al(2), one Al(6), and two equivalent Al(1) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Al(2), one Al(5), and two equivalent Al(7) atoms. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Na(1), one Al(3), and two equivalent Al(7) atoms. In the sixth O site, O(6) is bonded in a trigonal planar geometry to one Al(4) and two equivalent Al(1) atoms. In the seventh O site, O(7) is bonded in a linear geometry to one Al(3) and one Al(4) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Al(6) and three equivalent Al(7) atoms. In the ninth O site, O(9) is bonded in a distorted tetrahedral geometry to one Na(1) and three equivalent Al(1) atoms. is represented by the CIF card [CIF]
data_NaAl11O17
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.728
_cell_length_b   11.728
_cell_length_c   11.728
_cell_angle_alpha   27.586
_cell_angle_beta   27.586
_cell_angle_gamma   27.586
_symmetry_Int_Tables_number   1
_cell_volume   305.355
_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  0.825  0.825  0.825  1.0
  Al  Al1  1  0.593  0.097  0.097  1.0
  Al  Al2  1  1.000  1.000  1.000  1.0
  Al  Al3  1  0.097  0.097  0.593  1.0
  Al  Al4  1  0.097  0.593  0.097  1.0
  Al  Al5  1  0.450  0.450  0.450  1.0
  Al  Al6  1  0.550  0.550  0.550  1.0
  Al  Al7  1  0.350  0.350  0.350  1.0
  Al  Al8  1  0.649  0.649  0.649  1.0
  Al  Al9  1  0.904  0.405  0.904  1.0
  Al  Al10  1  0.904  0.904  0.405  1.0
  Al  Al11  1  0.405  0.904  0.904  1.0
  O  O12  1  0.297  0.297  0.297  1.0
  O  O13  1  0.094  0.094  0.094  1.0
  O  O14  1  0.811  0.279  0.811  1.0
  O  O15  1  0.719  0.191  0.191  1.0
  O  O16  1  0.601  0.090  0.601  1.0
  O  O17  1  0.906  0.403  0.403  1.0
  O  O18  1  0.601  0.601  0.090  1.0
  O  O19  1  0.500  0.500  0.500  1.0
  O  O20  1  0.191  0.191  0.719  1.0
  O  O21  1  0.811  0.811  0.279  1.0
  O  O22  1  0.403  0.403  0.906  1.0
  O  O23  1  0.090  0.601  0.601  1.0
  O  O24  1  0.403  0.906  0.403  1.0
  O  O25  1  0.279  0.811  0.811  1.0
  O  O26  1  0.191  0.719  0.191  1.0
  O  O27  1  0.703  0.703  0.703  1.0
  O  O28  1  0.904  0.904  0.904  1.0
[/CIF]
.