The material structure described by KNaTi4(PO4)6 crystallizes in the trigonal R-3 space group. K(1) is bonded in a distorted hexagonal planar geometry to six equivalent O(4) atoms. Na(1) is bonded in a hexagonal planar geometry to six equivalent O(3) atoms. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra. In the second Ti site, Ti(2) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Ti(1)O6 octahedra and corners with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-29°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Ti(2) and one P(1) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Na(1), one Ti(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one Ti(2), and one P(1) atom. is represented by the CIF file [CIF]
data_KNaTi4(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.076
_cell_length_b   9.076
_cell_length_c   9.076
_cell_angle_alpha   56.295
_cell_angle_beta   56.295
_cell_angle_gamma   56.295
_symmetry_Int_Tables_number   1
_cell_volume   483.418
_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
  K  K0  1  0.000  0.000  0.000  1.0
  Na  Na1  1  0.500  0.500  0.500  1.0
  Ti  Ti2  1  0.353  0.353  0.353  1.0
  Ti  Ti3  1  0.852  0.852  0.852  1.0
  Ti  Ti4  1  0.647  0.647  0.647  1.0
  Ti  Ti5  1  0.148  0.148  0.148  1.0
  P  P6  1  0.533  0.966  0.250  1.0
  P  P7  1  0.250  0.533  0.966  1.0
  P  P8  1  0.966  0.250  0.533  1.0
  P  P9  1  0.750  0.467  0.034  1.0
  P  P10  1  0.034  0.750  0.467  1.0
  P  P11  1  0.467  0.034  0.750  1.0
  O  O12  1  0.993  0.237  0.357  1.0
  O  O13  1  0.357  0.993  0.237  1.0
  O  O14  1  0.237  0.357  0.993  1.0
  O  O15  1  0.859  0.736  0.492  1.0
  O  O16  1  0.492  0.859  0.736  1.0
  O  O17  1  0.736  0.492  0.859  1.0
  O  O18  1  0.007  0.763  0.643  1.0
  O  O19  1  0.643  0.007  0.763  1.0
  O  O20  1  0.763  0.643  0.007  1.0
  O  O21  1  0.141  0.264  0.508  1.0
  O  O22  1  0.508  0.141  0.264  1.0
  O  O23  1  0.264  0.508  0.141  1.0
  O  O24  1  0.789  0.428  0.563  1.0
  O  O25  1  0.563  0.789  0.428  1.0
  O  O26  1  0.428  0.563  0.789  1.0
  O  O27  1  0.065  0.928  0.293  1.0
  O  O28  1  0.293  0.065  0.928  1.0
  O  O29  1  0.928  0.293  0.065  1.0
  O  O30  1  0.211  0.572  0.437  1.0
  O  O31  1  0.437  0.211  0.572  1.0
  O  O32  1  0.572  0.437  0.211  1.0
  O  O33  1  0.935  0.072  0.707  1.0
  O  O34  1  0.707  0.935  0.072  1.0
  O  O35  1  0.072  0.707  0.935  1.0
[/CIF]
.
The material structure described by KNaTi4(PO4)6 crystallizes in the trigonal R-3 space group. K(1) is bonded in a distorted hexagonal planar geometry to six equivalent O(4) atoms. Na(1) is bonded in a hexagonal planar geometry to six equivalent O(3) atoms. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to three equivalent O(2) and three equivalent O(3) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra. In the second Ti site, Ti(2) is bonded to three equivalent O(1) and three equivalent O(4) atoms to form TiO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share corners with two equivalent Ti(1)O6 octahedra and corners with two equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-29°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Ti(2) and one P(1) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Ti(1) and one P(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Na(1), one Ti(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one Ti(2), and one P(1) atom. is represented by the CIF file [CIF]
data_KNaTi4(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.076
_cell_length_b   9.076
_cell_length_c   9.076
_cell_angle_alpha   56.295
_cell_angle_beta   56.295
_cell_angle_gamma   56.295
_symmetry_Int_Tables_number   1
_cell_volume   483.418
_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
  K  K0  1  0.000  0.000  0.000  1.0
  Na  Na1  1  0.500  0.500  0.500  1.0
  Ti  Ti2  1  0.353  0.353  0.353  1.0
  Ti  Ti3  1  0.852  0.852  0.852  1.0
  Ti  Ti4  1  0.647  0.647  0.647  1.0
  Ti  Ti5  1  0.148  0.148  0.148  1.0
  P  P6  1  0.533  0.966  0.250  1.0
  P  P7  1  0.250  0.533  0.966  1.0
  P  P8  1  0.966  0.250  0.533  1.0
  P  P9  1  0.750  0.467  0.034  1.0
  P  P10  1  0.034  0.750  0.467  1.0
  P  P11  1  0.467  0.034  0.750  1.0
  O  O12  1  0.993  0.237  0.357  1.0
  O  O13  1  0.357  0.993  0.237  1.0
  O  O14  1  0.237  0.357  0.993  1.0
  O  O15  1  0.859  0.736  0.492  1.0
  O  O16  1  0.492  0.859  0.736  1.0
  O  O17  1  0.736  0.492  0.859  1.0
  O  O18  1  0.007  0.763  0.643  1.0
  O  O19  1  0.643  0.007  0.763  1.0
  O  O20  1  0.763  0.643  0.007  1.0
  O  O21  1  0.141  0.264  0.508  1.0
  O  O22  1  0.508  0.141  0.264  1.0
  O  O23  1  0.264  0.508  0.141  1.0
  O  O24  1  0.789  0.428  0.563  1.0
  O  O25  1  0.563  0.789  0.428  1.0
  O  O26  1  0.428  0.563  0.789  1.0
  O  O27  1  0.065  0.928  0.293  1.0
  O  O28  1  0.293  0.065  0.928  1.0
  O  O29  1  0.928  0.293  0.065  1.0
  O  O30  1  0.211  0.572  0.437  1.0
  O  O31  1  0.437  0.211  0.572  1.0
  O  O32  1  0.572  0.437  0.211  1.0
  O  O33  1  0.935  0.072  0.707  1.0
  O  O34  1  0.707  0.935  0.072  1.0
  O  O35  1  0.072  0.707  0.935  1.0
[/CIF]
.