K5Na3Ta5Nb3O24 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. There are five 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 Ta(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 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 Ta(5)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 third Ta site, Ta(3) 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 TaO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)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 Ta site, Ta(4) 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 Ta(5)O6 octahedra, corners with two equivalent Nb(2)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 Ta site, Ta(5) 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 TaO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Ta(4)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. There are three inequivalent Nb sites. In the first Nb site, Nb(1) 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 Ta(3)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 second Nb site, Nb(2) 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 Ta(4)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 Nb site, Nb(3) 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 Ta(5)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)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(4) 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 Ta(5) 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 Ta(3), and one Nb(2) 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(1), and one Nb(3) 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(4) 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 Ta(5) 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 Ta(3), and one Nb(2) 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(1), and one Nb(3) 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 Ta(3) 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(1) 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 Ta(3) 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(1) 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(4), and one Nb(2) 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 Ta(5), and one Nb(3) 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(4), and one Nb(2) 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 Ta(5), and one Nb(3) 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 in a distorted linear geometry to one K(1), one K(2), one K(3), one K(4), one Ta(3), and one Nb(1) atom. 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 Ta(3), and one Nb(1) 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(4), and one Ta(5) 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(4), and one Ta(5) atom. In the twenty-third O site, O(23) is bonded in a distorted octahedral geometry to one K(1), one K(2), one K(3), one K(4), one Nb(2), and one Nb(3) atom. 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(2), and one Nb(3) atom.
K5Na3Ta5Nb3O24 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The K(1)-O(1) bond length is 2.85 Å. The K(1)-O(10) bond length is 2.85 Å. The K(1)-O(13) bond length is 2.85 Å. The K(1)-O(14) bond length is 2.85 Å. The K(1)-O(17) bond length is 2.84 Å. The K(1)-O(19) bond length is 2.84 Å. The K(1)-O(2) bond length is 2.85 Å. The K(1)-O(21) bond length is 2.84 Å. The K(1)-O(23) bond length is 2.84 Å. The K(1)-O(3) bond length is 2.85 Å. The K(1)-O(4) bond length is 2.85 Å. The K(1)-O(9) bond length is 2.85 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The K(2)-O(1) bond length is 2.85 Å. The K(2)-O(11) bond length is 2.84 Å. The K(2)-O(12) bond length is 2.84 Å. The K(2)-O(15) bond length is 2.84 Å. The K(2)-O(16) bond length is 2.84 Å. The K(2)-O(17) bond length is 2.84 Å. The K(2)-O(19) bond length is 2.84 Å. The K(2)-O(2) bond length is 2.85 Å. The K(2)-O(21) bond length is 2.84 Å. The K(2)-O(23) bond length is 2.84 Å. The K(2)-O(3) bond length is 2.85 Å. The K(2)-O(4) bond length is 2.85 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The K(3)-O(10) bond length is 2.85 Å. The K(3)-O(13) bond length is 2.85 Å. The K(3)-O(14) bond length is 2.85 Å. The K(3)-O(17) bond length is 2.84 Å. The K(3)-O(19) bond length is 2.84 Å. The K(3)-O(21) bond length is 2.84 Å. The K(3)-O(23) bond length is 2.84 Å. The K(3)-O(5) bond length is 2.84 Å. The K(3)-O(6) bond length is 2.84 Å. The K(3)-O(7) bond length is 2.84 Å. The K(3)-O(8) bond length is 2.84 Å. The K(3)-O(9) bond length is 2.85 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The K(4)-O(11) bond length is 2.85 Å. The K(4)-O(12) bond length is 2.85 Å. The K(4)-O(15) bond length is 2.85 Å. The K(4)-O(16) bond length is 2.85 Å. The K(4)-O(17) bond length is 2.84 Å. The K(4)-O(19) bond length is 2.84 Å. The K(4)-O(21) bond length is 2.84 Å. The K(4)-O(23) bond length is 2.84 Å. The K(4)-O(5) bond length is 2.85 Å. The K(4)-O(6) bond length is 2.85 Å. The K(4)-O(7) bond length is 2.85 Å. The K(4)-O(8) bond length is 2.85 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The K(5)-O(11) bond length is 2.84 Å. The K(5)-O(12) bond length is 2.84 Å. The K(5)-O(15) bond length is 2.84 Å. The K(5)-O(16) bond length is 2.84 Å. The K(5)-O(18) bond length is 2.85 Å. The K(5)-O(20) bond length is 2.85 Å. The K(5)-O(22) bond length is 2.85 Å. The K(5)-O(24) bond length is 2.85 Å. The K(5)-O(5) bond length is 2.84 Å. The K(5)-O(6) bond length is 2.84 Å. The K(5)-O(7) bond length is 2.84 Å. The K(5)-O(8) bond length is 2.84 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The Na(1)-O(1) bond length is 2.83 Å. The Na(1)-O(10) bond length is 2.83 Å. The Na(1)-O(13) bond length is 2.83 Å. The Na(1)-O(14) bond length is 2.83 Å. The Na(1)-O(18) bond length is 2.83 Å. The Na(1)-O(2) bond length is 2.83 Å. The Na(1)-O(20) bond length is 2.83 Å. The Na(1)-O(22) bond length is 2.83 Å. The Na(1)-O(24) bond length is 2.83 Å. The Na(1)-O(3) bond length is 2.83 Å. The Na(1)-O(4) bond length is 2.83 Å. The Na(1)-O(9) bond length is 2.83 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The Na(2)-O(1) bond length is 2.83 Å. The Na(2)-O(11) bond length is 2.83 Å. The Na(2)-O(12) bond length is 2.83 Å. The Na(2)-O(15) bond length is 2.83 Å. The Na(2)-O(16) bond length is 2.83 Å. The Na(2)-O(18) bond length is 2.84 Å. The Na(2)-O(2) bond length is 2.83 Å. The Na(2)-O(20) bond length is 2.84 Å. The Na(2)-O(22) bond length is 2.84 Å. The Na(2)-O(24) bond length is 2.84 Å. The Na(2)-O(3) bond length is 2.83 Å. The Na(2)-O(4) bond length is 2.83 Å. 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 Ta(4)O6 octahedra,  a faceface with one Ta(5)O6 octahedra,  a faceface with one Nb(1)O6 octahedra,  a faceface with one Nb(2)O6 octahedra, and  a faceface with one Nb(3)O6 octahedra. The Na(3)-O(10) bond length is 2.83 Å. The Na(3)-O(13) bond length is 2.83 Å. The Na(3)-O(14) bond length is 2.83 Å. The Na(3)-O(18) bond length is 2.84 Å. The Na(3)-O(20) bond length is 2.84 Å. The Na(3)-O(22) bond length is 2.84 Å. The Na(3)-O(24) bond length is 2.84 Å. The Na(3)-O(5) bond length is 2.83 Å. The Na(3)-O(6) bond length is 2.83 Å. The Na(3)-O(7) bond length is 2.83 Å. The Na(3)-O(8) bond length is 2.83 Å. The Na(3)-O(9) bond length is 2.83 Å. There are five 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 Ta(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. The Ta(1)-O(1) bond length is 2.01 Å. The Ta(1)-O(11) bond length is 2.01 Å. The Ta(1)-O(17) bond length is 2.01 Å. The Ta(1)-O(18) bond length is 2.00 Å. The Ta(1)-O(5) bond length is 2.01 Å. The Ta(1)-O(9) bond length is 2.01 Å. 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 Ta(5)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. The Ta(2)-O(10) bond length is 2.00 Å. The Ta(2)-O(12) bond length is 2.00 Å. The Ta(2)-O(17) bond length is 2.02 Å. The Ta(2)-O(18) bond length is 2.00 Å. The Ta(2)-O(2) bond length is 2.01 Å. The Ta(2)-O(6) bond length is 2.01 Å. In the third Ta site, Ta(3) 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 TaO6 octahedra that share corners with two equivalent Ta(1)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)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. The Ta(3)-O(11) bond length is 2.01 Å. The Ta(3)-O(19) bond length is 2.01 Å. The Ta(3)-O(20) bond length is 2.00 Å. The Ta(3)-O(3) bond length is 2.00 Å. The Ta(3)-O(7) bond length is 2.00 Å. The Ta(3)-O(9) bond length is 2.01 Å. In the fourth Ta site, Ta(4) 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 Ta(5)O6 octahedra, corners with two equivalent Nb(2)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. The Ta(4)-O(1) bond length is 2.01 Å. The Ta(4)-O(13) bond length is 2.00 Å. The Ta(4)-O(15) bond length is 2.00 Å. The Ta(4)-O(21) bond length is 2.02 Å. The Ta(4)-O(22) bond length is 2.00 Å. The Ta(4)-O(5) bond length is 2.01 Å. In the fifth Ta site, Ta(5) 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 TaO6 octahedra that share corners with two equivalent Ta(2)O6 octahedra, corners with two equivalent Ta(4)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. The Ta(5)-O(14) bond length is 2.00 Å. The Ta(5)-O(16) bond length is 2.00 Å. The Ta(5)-O(2) bond length is 2.01 Å. The Ta(5)-O(21) bond length is 2.02 Å. The Ta(5)-O(22) bond length is 2.00 Å. The Ta(5)-O(6) bond length is 2.01 Å. There are three inequivalent Nb sites. In the first Nb site, Nb(1) 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 Ta(3)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. The Nb(1)-O(10) bond length is 2.02 Å. The Nb(1)-O(12) bond length is 2.02 Å. The Nb(1)-O(19) bond length is 2.02 Å. The Nb(1)-O(20) bond length is 2.01 Å. The Nb(1)-O(4) bond length is 2.01 Å. The Nb(1)-O(8) bond length is 2.01 Å. In the second Nb site, Nb(2) 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 Ta(4)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. The Nb(2)-O(13) bond length is 2.02 Å. The Nb(2)-O(15) bond length is 2.02 Å. The Nb(2)-O(23) bond length is 2.01 Å. The Nb(2)-O(24) bond length is 2.00 Å. The Nb(2)-O(3) bond length is 2.02 Å. The Nb(2)-O(7) bond length is 2.02 Å. In the third Nb site, Nb(3) 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 Ta(5)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent Nb(2)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. The Nb(3)-O(14) bond length is 2.02 Å. The Nb(3)-O(16) bond length is 2.02 Å. The Nb(3)-O(23) bond length is 2.02 Å. The Nb(3)-O(24) bond length is 2.00 Å. The Nb(3)-O(4) bond length is 2.01 Å. The Nb(3)-O(8) bond length is 2.01 Å. 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(4) 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 Ta(5) 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 Ta(3), and one Nb(2) 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(1), and one Nb(3) 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(4) 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 Ta(5) 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 Ta(3), and one Nb(2) 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(1), and one Nb(3) 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 Ta(3) 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(1) 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 Ta(3) 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(1) 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(4), and one Nb(2) 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 Ta(5), and one Nb(3) 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(4), and one Nb(2) 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 Ta(5), and one Nb(3) 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 in a distorted linear geometry to one K(1), one K(2), one K(3), one K(4), one Ta(3), and one Nb(1) atom. 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 Ta(3), and one Nb(1) 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(4), and one Ta(5) 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(4), and one Ta(5) atom. In the twenty-third O site, O(23) is bonded in a distorted octahedral geometry to one K(1), one K(2), one K(3), one K(4), one Nb(2), and one Nb(3) atom. 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(2), and one Nb(3) atom.