The structure described by K5Na3Ta8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are four inequivalent K sites. In the first K site, K(1) is bonded to four equivalent O(3) and eight equivalent O(1) atoms to form KO12 cuboctahedra that share corners with four equivalent K(3)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, faces with four equivalent K(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the second K site, K(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form KO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the third K site, K(3) is bonded to four equivalent O(3) and eight equivalent O(2) atoms to form KO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with four equivalent K(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the fourth K site, K(4) is bonded to four equivalent O(4) and eight equivalent O(2) atoms to form KO12 cuboctahedra that share corners with four equivalent Na(1)O12 cuboctahedra, corners with eight equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to four equivalent O(4) and eight equivalent O(1) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(4)O12 cuboctahedra, corners with eight equivalent K(2)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the second Na site, Na(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. Ta(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form TaO6 octahedra that share corners with six equivalent Ta(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, and faces with two equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are four inequivalent O sites. In the first O site, O(3) is bonded in a distorted linear geometry to one K(1), one K(3), two equivalent K(2), and two equivalent Ta(1) atoms. In the second O site, O(4) is bonded in a distorted linear geometry to one K(4), one Na(1), two equivalent Na(2), and two equivalent Ta(1) atoms. In the third O site, O(1) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), and two equivalent Ta(1) atoms. In the fourth O site, O(2) is bonded in a distorted linear geometry to one K(2), one K(3), one K(4), one Na(2), and two equivalent Ta(1) atoms. is represented by the CIF card [CIF]
data_K5Na3Ta8O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.031
_cell_length_b   8.031
_cell_length_c   8.030
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   517.883
_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
  K  K1  1  0.500  0.000  0.000  1.0
  K  K2  1  0.000  0.500  0.000  1.0
  K  K3  1  0.500  0.500  0.000  1.0
  K  K4  1  0.500  0.500  0.500  1.0
  Na  Na5  1  0.000  0.000  0.500  1.0
  Na  Na6  1  0.500  0.000  0.500  1.0
  Na  Na7  1  0.000  0.500  0.500  1.0
  Ta  Ta8  1  0.750  0.750  0.749  1.0
  Ta  Ta9  1  0.750  0.750  0.251  1.0
  Ta  Ta10  1  0.250  0.750  0.749  1.0
  Ta  Ta11  1  0.250  0.750  0.251  1.0
  Ta  Ta12  1  0.750  0.250  0.749  1.0
  Ta  Ta13  1  0.750  0.250  0.251  1.0
  Ta  Ta14  1  0.250  0.250  0.749  1.0
  Ta  Ta15  1  0.250  0.250  0.251  1.0
  O  O16  1  0.750  0.000  0.748  1.0
  O  O17  1  0.750  0.000  0.252  1.0
  O  O18  1  0.250  0.000  0.748  1.0
  O  O19  1  0.250  0.000  0.252  1.0
  O  O20  1  0.751  0.500  0.749  1.0
  O  O21  1  0.751  0.500  0.251  1.0
  O  O22  1  0.249  0.500  0.749  1.0
  O  O23  1  0.249  0.500  0.251  1.0
  O  O24  1  0.000  0.750  0.748  1.0
  O  O25  1  0.000  0.750  0.252  1.0
  O  O26  1  0.500  0.751  0.749  1.0
  O  O27  1  0.500  0.751  0.251  1.0
  O  O28  1  0.000  0.250  0.748  1.0
  O  O29  1  0.000  0.250  0.252  1.0
  O  O30  1  0.500  0.249  0.749  1.0
  O  O31  1  0.500  0.249  0.251  1.0
  O  O32  1  0.750  0.750  0.000  1.0
  O  O33  1  0.751  0.751  0.500  1.0
  O  O34  1  0.250  0.750  0.000  1.0
  O  O35  1  0.249  0.751  0.500  1.0
  O  O36  1  0.750  0.250  0.000  1.0
  O  O37  1  0.751  0.249  0.500  1.0
  O  O38  1  0.250  0.250  0.000  1.0
  O  O39  1  0.249  0.249  0.500  1.0
[/CIF]
.
The structure described by K5Na3Ta8O24 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/mmm space group. There are four inequivalent K sites. In the first K site, K(1) is bonded to four equivalent O(3) and eight equivalent O(1) atoms to form KO12 cuboctahedra that share corners with four equivalent K(3)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, faces with four equivalent K(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the second K site, K(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(3) atoms to form KO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the third K site, K(3) is bonded to four equivalent O(3) and eight equivalent O(2) atoms to form KO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with eight equivalent Na(2)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with four equivalent K(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the fourth K site, K(4) is bonded to four equivalent O(4) and eight equivalent O(2) atoms to form KO12 cuboctahedra that share corners with four equivalent Na(1)O12 cuboctahedra, corners with eight equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to four equivalent O(4) and eight equivalent O(1) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(4)O12 cuboctahedra, corners with eight equivalent K(2)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with four equivalent Na(2)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. In the second Na site, Na(2) is bonded to four equivalent O(1), four equivalent O(2), and four equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, and faces with eight equivalent Ta(1)O6 octahedra. Ta(1) is bonded to one O(3), one O(4), two equivalent O(1), and two equivalent O(2) atoms to form TaO6 octahedra that share corners with six equivalent Ta(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, and faces with two equivalent Na(2)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are four inequivalent O sites. In the first O site, O(3) is bonded in a distorted linear geometry to one K(1), one K(3), two equivalent K(2), and two equivalent Ta(1) atoms. In the second O site, O(4) is bonded in a distorted linear geometry to one K(4), one Na(1), two equivalent Na(2), and two equivalent Ta(1) atoms. In the third O site, O(1) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), and two equivalent Ta(1) atoms. In the fourth O site, O(2) is bonded in a distorted linear geometry to one K(2), one K(3), one K(4), one Na(2), and two equivalent Ta(1) atoms. is represented by the CIF card [CIF]
data_K5Na3Ta8O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.031
_cell_length_b   8.031
_cell_length_c   8.030
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   517.883
_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
  K  K1  1  0.500  0.000  0.000  1.0
  K  K2  1  0.000  0.500  0.000  1.0
  K  K3  1  0.500  0.500  0.000  1.0
  K  K4  1  0.500  0.500  0.500  1.0
  Na  Na5  1  0.000  0.000  0.500  1.0
  Na  Na6  1  0.500  0.000  0.500  1.0
  Na  Na7  1  0.000  0.500  0.500  1.0
  Ta  Ta8  1  0.750  0.750  0.749  1.0
  Ta  Ta9  1  0.750  0.750  0.251  1.0
  Ta  Ta10  1  0.250  0.750  0.749  1.0
  Ta  Ta11  1  0.250  0.750  0.251  1.0
  Ta  Ta12  1  0.750  0.250  0.749  1.0
  Ta  Ta13  1  0.750  0.250  0.251  1.0
  Ta  Ta14  1  0.250  0.250  0.749  1.0
  Ta  Ta15  1  0.250  0.250  0.251  1.0
  O  O16  1  0.750  0.000  0.748  1.0
  O  O17  1  0.750  0.000  0.252  1.0
  O  O18  1  0.250  0.000  0.748  1.0
  O  O19  1  0.250  0.000  0.252  1.0
  O  O20  1  0.751  0.500  0.749  1.0
  O  O21  1  0.751  0.500  0.251  1.0
  O  O22  1  0.249  0.500  0.749  1.0
  O  O23  1  0.249  0.500  0.251  1.0
  O  O24  1  0.000  0.750  0.748  1.0
  O  O25  1  0.000  0.750  0.252  1.0
  O  O26  1  0.500  0.751  0.749  1.0
  O  O27  1  0.500  0.751  0.251  1.0
  O  O28  1  0.000  0.250  0.748  1.0
  O  O29  1  0.000  0.250  0.252  1.0
  O  O30  1  0.500  0.249  0.749  1.0
  O  O31  1  0.500  0.249  0.251  1.0
  O  O32  1  0.750  0.750  0.000  1.0
  O  O33  1  0.751  0.751  0.500  1.0
  O  O34  1  0.250  0.750  0.000  1.0
  O  O35  1  0.249  0.751  0.500  1.0
  O  O36  1  0.750  0.250  0.000  1.0
  O  O37  1  0.751  0.249  0.500  1.0
  O  O38  1  0.250  0.250  0.000  1.0
  O  O39  1  0.249  0.249  0.500  1.0
[/CIF]
.