The structure described by K5Na3Ta3Nb5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent K sites. In the first K site, K(1) is bonded to one O(1), one O(10), one O(13), one O(14), one O(17), one O(19), one O(2), one O(21), one O(23), one O(3), one O(4), and one O(9) atom to form KO12 cuboctahedra that share corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the second K site, K(2) is bonded to one O(1), one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), one O(2), one O(21), one O(23), one O(3), and one O(4) atom to form KO12 cuboctahedra that share corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent K(5)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the third K site, K(3) is bonded to one O(10), one O(13), one O(14), one O(17), one O(19), one O(21), one O(23), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form KO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(5)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the fourth K site, K(4) is bonded to one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), one O(21), one O(23), one O(5), one O(6), one O(7), and one O(8) atom to form KO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent K(5)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the fifth K site, K(5) is bonded to one O(11), one O(12), one O(15), one O(16), one O(18), one O(20), one O(22), one O(24), one O(5), one O(6), one O(7), and one O(8) atom to form KO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(10), one O(13), one O(14), one O(18), one O(2), one O(20), one O(22), one O(24), one O(3), one O(4), and one O(9) atom to form NaO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent K(5)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the second Na site, Na(2) is bonded to one O(1), one O(11), one O(12), one O(15), one O(16), one O(18), one O(2), one O(20), one O(22), one O(24), one O(3), and one O(4) atom to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(5)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the third Na site, Na(3) is bonded to one O(10), one O(13), one O(14), one O(18), one O(20), one O(22), one O(24), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent K(5)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. There are three inequivalent Ta sites. In the first Ta site, Ta(1) is bonded to one O(1), one O(11), one O(17), one O(18), one O(5), and one O(9) atom to form TaO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Ta(3)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the second Ta site, Ta(2) is bonded to one O(10), one O(12), one O(17), one O(18), one O(2), and one O(6) atom to form TaO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Ta site, Ta(3) is bonded to one O(1), one O(13), one O(15), one O(21), one O(22), and one O(5) atom to form TaO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are five inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(11), one O(19), one O(20), one O(3), one O(7), and one O(9) atom to form NbO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the second Nb site, Nb(2) is bonded to one O(10), one O(12), one O(19), one O(20), one O(4), and one O(8) atom to form NbO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Nb site, Nb(3) is bonded to one O(14), one O(16), one O(2), one O(21), one O(22), and one O(6) atom to form NbO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Ta(3)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the fourth Nb site, Nb(4) is bonded to one O(13), one O(15), one O(23), one O(24), one O(3), and one O(7) atom to form NbO6 octahedra that share corners with two equivalent Ta(3)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the fifth Nb site, Nb(5) is bonded to one O(14), one O(16), one O(23), one O(24), one O(4), and one O(8) atom to form NbO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Ta(1), and one Ta(3) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Ta(2), and one Nb(3) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Nb(1), and one Nb(4) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Nb(2), and one Nb(5) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Ta(1), and one Ta(3) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Ta(2), and one Nb(3) atom. In the seventh O site, O(7) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Nb(1), and one Nb(4) atom. In the eighth O site, O(8) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Nb(2), and one Nb(5) atom. In the ninth O site, O(9) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Ta(1), and one Nb(1) atom. In the tenth O site, O(10) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Ta(2), and one Nb(2) atom. In the eleventh O site, O(11) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Ta(1), and one Nb(1) atom. In the twelfth O site, O(12) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Ta(2), and one Nb(2) atom. In the thirteenth O site, O(13) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Ta(3), and one Nb(4) atom. In the fourteenth O site, O(14) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Nb(3), and one Nb(5) atom. In the fifteenth O site, O(15) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Ta(3), and one Nb(4) atom. In the sixteenth O site, O(16) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Nb(3), and one Nb(5) atom. In the seventeenth O site, O(17) is bonded in a distorted linear geometry to one K(1), one K(2), one K(3), one K(4), one Ta(1), and one Ta(2) atom. In the eighteenth O site, O(18) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Ta(1), and one Ta(2) atom. In the nineteenth O site, O(19) is bonded to one K(1), one K(2), one K(3), one K(4), one Nb(1), and one Nb(2) atom to form distorted edge-sharing OK4Nb2 octahedra. In the twentieth O site, O(20) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Nb(1), and one Nb(2) atom. In the twenty-first O site, O(21) is bonded in a distorted linear geometry to one K(1), one K(2), one K(3), one K(4), one Ta(3), and one Nb(3) atom. In the twenty-second O site, O(22) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Ta(3), and one Nb(3) atom. In the twenty-third O site, O(23) is bonded to one K(1), one K(2), one K(3), one K(4), one Nb(4), and one Nb(5) atom to form distorted edge-sharing OK4Nb2 octahedra. In the twenty-fourth O site, O(24) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Nb(4), and one Nb(5) atom. is represented by the CIF file [CIF]
data_K5Na3Ta3Nb5O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.052
_cell_length_b   8.053
_cell_length_c   8.054
_cell_angle_alpha   90.001
_cell_angle_beta   90.002
_cell_angle_gamma   90.001
_symmetry_Int_Tables_number   1
_cell_volume   522.242
_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  0.750  0.750  0.250  1.0
  K  K1  1  0.750  0.750  0.750  1.0
  K  K2  1  0.750  0.250  0.250  1.0
  K  K3  1  0.750  0.250  0.750  1.0
  K  K4  1  0.250  0.250  0.750  1.0
  Na  Na5  1  0.250  0.750  0.250  1.0
  Na  Na6  1  0.250  0.750  0.750  1.0
  Na  Na7  1  0.250  0.250  0.250  1.0
  Ta  Ta8  1  0.001  1.000  0.000  1.0
  Ta  Ta9  1  0.499  1.000  0.000  1.0
  Ta  Ta10  1  0.001  0.500  0.000  1.0
  Nb  Nb11  1  0.001  1.000  0.500  1.0
  Nb  Nb12  1  0.499  1.000  0.500  1.0
  Nb  Nb13  1  0.499  0.500  0.000  1.0
  Nb  Nb14  1  0.001  0.500  0.500  1.0
  Nb  Nb15  1  0.499  0.500  0.500  1.0
  O  O16  1  0.002  0.750  0.000  1.0
  O  O17  1  0.498  0.751  0.000  1.0
  O  O18  1  0.002  0.750  0.500  1.0
  O  O19  1  0.498  0.750  0.500  1.0
  O  O20  1  0.001  0.250  0.001  1.0
  O  O21  1  0.499  0.249  0.001  1.0
  O  O22  1  0.001  0.250  0.499  1.0
  O  O23  1  0.499  0.250  0.499  1.0
  O  O24  1  0.002  1.000  0.249  1.0
  O  O25  1  0.498  1.000  0.249  1.0
  O  O26  1  0.001  0.999  0.751  1.0
  O  O27  1  0.499  0.999  0.751  1.0
  O  O28  1  0.002  0.500  0.249  1.0
  O  O29  1  0.498  0.500  0.250  1.0
  O  O30  1  0.001  0.501  0.751  1.0
  O  O31  1  0.499  0.501  0.750  1.0
  O  O32  1  0.750  1.000  0.000  1.0
  O  O33  1  0.250  0.999  0.001  1.0
  O  O34  1  0.750  1.000  0.500  1.0
  O  O35  1  0.250  0.999  0.499  1.0
  O  O36  1  0.751  0.500  0.000  1.0
  O  O37  1  0.249  0.501  0.001  1.0
  O  O38  1  0.750  0.500  0.500  1.0
  O  O39  1  0.250  0.501  0.499  1.0
[/CIF]
.
The structure described by K5Na3Ta3Nb5O24 is (Cubic) Perovskite-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent K sites. In the first K site, K(1) is bonded to one O(1), one O(10), one O(13), one O(14), one O(17), one O(19), one O(2), one O(21), one O(23), one O(3), one O(4), and one O(9) atom to form KO12 cuboctahedra that share corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the second K site, K(2) is bonded to one O(1), one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), one O(2), one O(21), one O(23), one O(3), and one O(4) atom to form KO12 cuboctahedra that share corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent K(5)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the third K site, K(3) is bonded to one O(10), one O(13), one O(14), one O(17), one O(19), one O(21), one O(23), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form KO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(5)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the fourth K site, K(4) is bonded to one O(11), one O(12), one O(15), one O(16), one O(17), one O(19), one O(21), one O(23), one O(5), one O(6), one O(7), and one O(8) atom to form KO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent K(5)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the fifth K site, K(5) is bonded to one O(11), one O(12), one O(15), one O(16), one O(18), one O(20), one O(22), one O(24), one O(5), one O(6), one O(7), and one O(8) atom to form KO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, faces with two equivalent K(4)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. There are three inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(1), one O(10), one O(13), one O(14), one O(18), one O(2), one O(20), one O(22), one O(24), one O(3), one O(4), and one O(9) atom to form NaO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent K(3)O12 cuboctahedra, corners with four equivalent K(5)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the second Na site, Na(2) is bonded to one O(1), one O(11), one O(12), one O(15), one O(16), one O(18), one O(2), one O(20), one O(22), one O(24), one O(3), and one O(4) atom to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent K(5)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. In the third Na site, Na(3) is bonded to one O(10), one O(13), one O(14), one O(18), one O(20), one O(22), one O(24), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form NaO12 cuboctahedra that share corners with four equivalent K(1)O12 cuboctahedra, corners with four equivalent K(4)O12 cuboctahedra, corners with four equivalent Na(2)O12 cuboctahedra, faces with two equivalent K(3)O12 cuboctahedra, faces with two equivalent K(5)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra,  a faceface with one Ta(1)O6 octahedra,  a faceface with one Ta(2)O6 octahedra,  a faceface with one Ta(3)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra,  a faceface with one Nb(3)O6 octahedra,  a faceface with one Nb(4)O6 octahedra, and  a faceface with one Nb(5)O6 octahedra. There are three inequivalent Ta sites. In the first Ta site, Ta(1) is bonded to one O(1), one O(11), one O(17), one O(18), one O(5), and one O(9) atom to form TaO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Ta(3)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the second Ta site, Ta(2) is bonded to one O(10), one O(12), one O(17), one O(18), one O(2), and one O(6) atom to form TaO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Ta site, Ta(3) is bonded to one O(1), one O(13), one O(15), one O(21), one O(22), and one O(5) atom to form TaO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are five inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(11), one O(19), one O(20), one O(3), one O(7), and one O(9) atom to form NbO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the second Nb site, Nb(2) is bonded to one O(10), one O(12), one O(19), one O(20), one O(4), and one O(8) atom to form NbO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the third Nb site, Nb(3) is bonded to one O(14), one O(16), one O(2), one O(21), one O(22), and one O(6) atom to form NbO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Ta(3)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the fourth Nb site, Nb(4) is bonded to one O(13), one O(15), one O(23), one O(24), one O(3), and one O(7) atom to form NbO6 octahedra that share corners with two equivalent Ta(3)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. In the fifth Nb site, Nb(5) is bonded to one O(14), one O(16), one O(23), one O(24), one O(4), and one O(8) atom to form NbO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra,  a faceface with one K(1)O12 cuboctahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one K(3)O12 cuboctahedra,  a faceface with one K(4)O12 cuboctahedra,  a faceface with one K(5)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra, and  a faceface with one Na(3)O12 cuboctahedra. The corner-sharing octahedra are not tilted. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Ta(1), and one Ta(3) atom. In the second O site, O(2) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Ta(2), and one Nb(3) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Nb(1), and one Nb(4) atom. In the fourth O site, O(4) is bonded in a distorted linear geometry to one K(1), one K(2), one Na(1), one Na(2), one Nb(2), and one Nb(5) atom. In the fifth O site, O(5) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Ta(1), and one Ta(3) atom. In the sixth O site, O(6) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Ta(2), and one Nb(3) atom. In the seventh O site, O(7) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Nb(1), and one Nb(4) atom. In the eighth O site, O(8) is bonded in a distorted linear geometry to one K(3), one K(4), one K(5), one Na(3), one Nb(2), and one Nb(5) atom. In the ninth O site, O(9) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Ta(1), and one Nb(1) atom. In the tenth O site, O(10) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Ta(2), and one Nb(2) atom. In the eleventh O site, O(11) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Ta(1), and one Nb(1) atom. In the twelfth O site, O(12) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Ta(2), and one Nb(2) atom. In the thirteenth O site, O(13) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Ta(3), and one Nb(4) atom. In the fourteenth O site, O(14) is bonded in a distorted linear geometry to one K(1), one K(3), one Na(1), one Na(3), one Nb(3), and one Nb(5) atom. In the fifteenth O site, O(15) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Ta(3), and one Nb(4) atom. In the sixteenth O site, O(16) is bonded in a distorted linear geometry to one K(2), one K(4), one K(5), one Na(2), one Nb(3), and one Nb(5) atom. In the seventeenth O site, O(17) is bonded in a distorted linear geometry to one K(1), one K(2), one K(3), one K(4), one Ta(1), and one Ta(2) atom. In the eighteenth O site, O(18) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Ta(1), and one Ta(2) atom. In the nineteenth O site, O(19) is bonded to one K(1), one K(2), one K(3), one K(4), one Nb(1), and one Nb(2) atom to form distorted edge-sharing OK4Nb2 octahedra. In the twentieth O site, O(20) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Nb(1), and one Nb(2) atom. In the twenty-first O site, O(21) is bonded in a distorted linear geometry to one K(1), one K(2), one K(3), one K(4), one Ta(3), and one Nb(3) atom. In the twenty-second O site, O(22) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Ta(3), and one Nb(3) atom. In the twenty-third O site, O(23) is bonded to one K(1), one K(2), one K(3), one K(4), one Nb(4), and one Nb(5) atom to form distorted edge-sharing OK4Nb2 octahedra. In the twenty-fourth O site, O(24) is bonded in a distorted linear geometry to one K(5), one Na(1), one Na(2), one Na(3), one Nb(4), and one Nb(5) atom. is represented by the CIF file [CIF]
data_K5Na3Ta3Nb5O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.052
_cell_length_b   8.053
_cell_length_c   8.054
_cell_angle_alpha   90.001
_cell_angle_beta   90.002
_cell_angle_gamma   90.001
_symmetry_Int_Tables_number   1
_cell_volume   522.242
_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  0.750  0.750  0.250  1.0
  K  K1  1  0.750  0.750  0.750  1.0
  K  K2  1  0.750  0.250  0.250  1.0
  K  K3  1  0.750  0.250  0.750  1.0
  K  K4  1  0.250  0.250  0.750  1.0
  Na  Na5  1  0.250  0.750  0.250  1.0
  Na  Na6  1  0.250  0.750  0.750  1.0
  Na  Na7  1  0.250  0.250  0.250  1.0
  Ta  Ta8  1  0.001  1.000  0.000  1.0
  Ta  Ta9  1  0.499  1.000  0.000  1.0
  Ta  Ta10  1  0.001  0.500  0.000  1.0
  Nb  Nb11  1  0.001  1.000  0.500  1.0
  Nb  Nb12  1  0.499  1.000  0.500  1.0
  Nb  Nb13  1  0.499  0.500  0.000  1.0
  Nb  Nb14  1  0.001  0.500  0.500  1.0
  Nb  Nb15  1  0.499  0.500  0.500  1.0
  O  O16  1  0.002  0.750  0.000  1.0
  O  O17  1  0.498  0.751  0.000  1.0
  O  O18  1  0.002  0.750  0.500  1.0
  O  O19  1  0.498  0.750  0.500  1.0
  O  O20  1  0.001  0.250  0.001  1.0
  O  O21  1  0.499  0.249  0.001  1.0
  O  O22  1  0.001  0.250  0.499  1.0
  O  O23  1  0.499  0.250  0.499  1.0
  O  O24  1  0.002  1.000  0.249  1.0
  O  O25  1  0.498  1.000  0.249  1.0
  O  O26  1  0.001  0.999  0.751  1.0
  O  O27  1  0.499  0.999  0.751  1.0
  O  O28  1  0.002  0.500  0.249  1.0
  O  O29  1  0.498  0.500  0.250  1.0
  O  O30  1  0.001  0.501  0.751  1.0
  O  O31  1  0.499  0.501  0.750  1.0
  O  O32  1  0.750  1.000  0.000  1.0
  O  O33  1  0.250  0.999  0.001  1.0
  O  O34  1  0.750  1.000  0.500  1.0
  O  O35  1  0.250  0.999  0.499  1.0
  O  O36  1  0.751  0.500  0.000  1.0
  O  O37  1  0.249  0.501  0.001  1.0
  O  O38  1  0.750  0.500  0.500  1.0
  O  O39  1  0.250  0.501  0.499  1.0
[/CIF]
.