The material described by K5Na3Nb5(WO8)3 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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(3)O6 octahedra. 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 Nb(2)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-1°. 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 Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-1°. 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 Nb(5)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles are 1°. 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 Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-2°. 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 octahedral tilt angles range from 0-1°. There are three inequivalent W sites. In the first W site, W(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 WO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-2°. In the second W site, W(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 WO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-1°. In the third W site, W(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 WO6 octahedra that share corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 1-2°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one K(2), one Na(1), one Na(2), one W(1), and one W(3) atom to form distorted OK2Na2W2 octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(2)K2Na2NbW octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the second O site, O(2) is bonded to one K(1), one K(2), one Na(1), one Na(2), one Nb(3), and one W(2) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(1)K2Na2W2 octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. 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 to one K(3), one K(4), one K(5), one Na(3), one W(1), and one W(3) atom to form distorted OK3NaW2 octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(6)K3NaNbW octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the sixth O site, O(6) is bonded to one K(3), one K(4), one K(5), one Na(3), one Nb(3), and one W(2) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(5)K3NaW2 octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. 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 to one K(1), one K(3), one Na(1), one Na(3), one Nb(1), and one W(1) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, edges with two equivalent O(10)K2Na2NbW octahedra, edges with two equivalent O(13)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the tenth O site, O(10) is bonded to one K(1), one K(3), one Na(1), one Na(3), one Nb(2), and one W(2) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, corners with four equivalent O(13)K2Na2NbW octahedra, edges with two equivalent O(9)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(6)K3NaNbW octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the eleventh O site, O(11) is bonded to one K(2), one K(4), one K(5), one Na(2), one Nb(1), and one W(1) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, edges with two equivalent O(12)K3NaNbW octahedra, edges with two equivalent O(15)K3NaNbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the twelfth O site, O(12) is bonded to one K(2), one K(4), one K(5), one Na(2), one Nb(2), and one W(2) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, corners with four equivalent O(15)K3NaNbW octahedra, edges with two equivalent O(11)K3NaNbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(6)K3NaNbW octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the thirteenth O site, O(13) is bonded to one K(1), one K(3), one Na(1), one Na(3), one Nb(4), and one W(3) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(17)K4W2 octahedra, corners with two equivalent O(18)KNa3W2 octahedra, corners with four equivalent O(10)K2Na2NbW octahedra, edges with two equivalent O(9)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(23)K4Nb2 octahedra,  a faceface with one O(21)K4NbW octahedra, and  a faceface with one O(22)KNa3NbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 to one K(2), one K(4), one K(5), one Na(2), one Nb(4), and one W(3) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(17)K4W2 octahedra, corners with two equivalent O(18)KNa3W2 octahedra, corners with four equivalent O(12)K3NaNbW octahedra, edges with two equivalent O(11)K3NaNbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(23)K4Nb2 octahedra,  a faceface with one O(21)K4NbW octahedra, and  a faceface with one O(22)KNa3NbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 to one K(1), one K(2), one K(3), one K(4), one W(1), and one W(2) atom to form distorted OK4W2 octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(18)KNa3W2 octahedra, corners with four equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(19)K4Nb2 octahedra, edges with two equivalent O(21)K4NbW octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the eighteenth O site, O(18) is bonded to one K(5), one Na(1), one Na(2), one Na(3), one W(1), and one W(2) atom to form distorted OKNa3W2 octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(17)K4W2 octahedra, edges with two equivalent O(22)KNa3NbW octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. 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 OK4Nb2 octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with four equivalent O(21)K4NbW octahedra, edges with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(17)K4W2 octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(11)K3NaNbW octahedra, and  a faceface with one O(12)K3NaNbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 to one K(1), one K(2), one K(3), one K(4), one Nb(3), and one W(3) atom to form distorted OK4NbW octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, corners with four equivalent O(19)K4Nb2 octahedra, edges with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(17)K4W2 octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the twenty-second O site, O(22) is bonded to one K(5), one Na(1), one Na(2), one Na(3), one Nb(3), and one W(3) atom to form distorted OKNa3NbW octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(21)K4NbW octahedra, edges with two equivalent O(18)KNa3W2 octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. 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 OK4Nb2 octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with four equivalent O(17)K4W2 octahedra, edges with two equivalent O(19)K4Nb2 octahedra, edges with two equivalent O(21)K4NbW octahedra,  a faceface with one O(13)K2Na2NbW octahedra, and  a faceface with one O(15)K3NaNbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 Crystallographic Information File (CIF) [CIF]
data_K5Na3Nb5(WO8)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.056
_cell_length_b   8.057
_cell_length_c   8.057
_cell_angle_alpha   89.992
_cell_angle_beta   89.701
_cell_angle_gamma   89.980
_symmetry_Int_Tables_number   1
_cell_volume   522.951
_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  0.249  0.250  0.249  1.0
  K  K1  1  0.249  0.750  0.249  1.0
  K  K2  1  0.751  0.251  0.249  1.0
  K  K3  1  0.751  0.749  0.249  1.0
  K  K4  1  0.751  0.750  0.751  1.0
  Na  Na5  1  0.249  0.251  0.751  1.0
  Na  Na6  1  0.249  0.749  0.751  1.0
  Na  Na7  1  0.751  0.251  0.751  1.0
  Nb  Nb8  1  0.001  0.499  0.999  1.0
  Nb  Nb9  1  0.000  0.500  0.501  1.0
  Nb  Nb10  1  0.499  0.000  0.503  1.0
  Nb  Nb11  1  0.500  0.500  0.999  1.0
  Nb  Nb12  1  0.500  0.499  0.501  1.0
  W  W13  1  0.000  0.000  0.999  1.0
  W  W14  1  1.000  0.000  0.501  1.0
  W  W15  1  0.500  0.000  1.000  1.0
  O  O16  1  0.252  0.000  0.994  1.0
  O  O17  1  0.247  0.000  0.504  1.0
  O  O18  1  0.248  0.500  0.996  1.0
  O  O19  1  0.251  0.499  0.504  1.0
  O  O20  1  0.748  0.002  0.999  1.0
  O  O21  1  0.754  0.002  0.502  1.0
  O  O22  1  0.751  0.498  0.998  1.0
  O  O23  1  0.749  0.498  0.503  1.0
  O  O24  1  0.001  0.245  0.997  1.0
  O  O25  1  0.000  0.252  0.504  1.0
  O  O26  1  0.002  0.755  0.997  1.0
  O  O27  1  0.002  0.748  0.503  1.0
  O  O28  1  0.500  0.252  0.996  1.0
  O  O29  1  0.499  0.247  0.504  1.0
  O  O30  1  0.498  0.748  0.997  1.0
  O  O31  1  0.498  0.753  0.503  1.0
  O  O32  1  0.999  0.000  0.251  1.0
  O  O33  1  0.003  0.002  0.749  1.0
  O  O34  1  0.000  0.500  0.248  1.0
  O  O35  1  0.002  0.498  0.752  1.0
  O  O36  1  0.501  0.000  0.247  1.0
  O  O37  1  0.497  0.002  0.752  1.0
  O  O38  1  0.500  0.499  0.251  1.0
  O  O39  1  0.498  0.498  0.749  1.0
[/CIF]
.
The material described by K5Na3Nb5(WO8)3 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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(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 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,  a faceface with one Nb(5)O6 octahedra,  a faceface with one W(1)O6 octahedra,  a faceface with one W(2)O6 octahedra, and  a faceface with one W(3)O6 octahedra. 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 Nb(2)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-1°. 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 Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-1°. 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 Nb(5)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles are 1°. 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 Nb(1)O6 octahedra, corners with two equivalent Nb(5)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-2°. 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 octahedral tilt angles range from 0-1°. There are three inequivalent W sites. In the first W site, W(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 WO6 octahedra that share corners with two equivalent Nb(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-2°. In the second W site, W(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 WO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra, corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 0-1°. In the third W site, W(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 WO6 octahedra that share corners with two equivalent Nb(3)O6 octahedra, corners with two equivalent Nb(4)O6 octahedra, corners with two equivalent W(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 octahedral tilt angles range from 1-2°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one K(2), one Na(1), one Na(2), one W(1), and one W(3) atom to form distorted OK2Na2W2 octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(2)K2Na2NbW octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the second O site, O(2) is bonded to one K(1), one K(2), one Na(1), one Na(2), one Nb(3), and one W(2) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(1)K2Na2W2 octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. 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 to one K(3), one K(4), one K(5), one Na(3), one W(1), and one W(3) atom to form distorted OK3NaW2 octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(6)K3NaNbW octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the sixth O site, O(6) is bonded to one K(3), one K(4), one K(5), one Na(3), one Nb(3), and one W(2) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(5)K3NaW2 octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(21)K4NbW octahedra,  a faceface with one O(17)K4W2 octahedra,  a faceface with one O(22)KNa3NbW octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. 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 to one K(1), one K(3), one Na(1), one Na(3), one Nb(1), and one W(1) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, edges with two equivalent O(10)K2Na2NbW octahedra, edges with two equivalent O(13)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the tenth O site, O(10) is bonded to one K(1), one K(3), one Na(1), one Na(3), one Nb(2), and one W(2) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, corners with four equivalent O(13)K2Na2NbW octahedra, edges with two equivalent O(9)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(6)K3NaNbW octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the eleventh O site, O(11) is bonded to one K(2), one K(4), one K(5), one Na(2), one Nb(1), and one W(1) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, edges with two equivalent O(12)K3NaNbW octahedra, edges with two equivalent O(15)K3NaNbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the twelfth O site, O(12) is bonded to one K(2), one K(4), one K(5), one Na(2), one Nb(2), and one W(2) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with two equivalent O(23)K4Nb2 octahedra, corners with two equivalent O(21)K4NbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, corners with four equivalent O(15)K3NaNbW octahedra, edges with two equivalent O(11)K3NaNbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(6)K3NaNbW octahedra,  a faceface with one O(19)K4Nb2 octahedra,  a faceface with one O(17)K4W2 octahedra, and  a faceface with one O(18)KNa3W2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the thirteenth O site, O(13) is bonded to one K(1), one K(3), one Na(1), one Na(3), one Nb(4), and one W(3) atom to form distorted OK2Na2NbW octahedra that share corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(17)K4W2 octahedra, corners with two equivalent O(18)KNa3W2 octahedra, corners with four equivalent O(10)K2Na2NbW octahedra, edges with two equivalent O(9)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(23)K4Nb2 octahedra,  a faceface with one O(21)K4NbW octahedra, and  a faceface with one O(22)KNa3NbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 to one K(2), one K(4), one K(5), one Na(2), one Nb(4), and one W(3) atom to form distorted OK3NaNbW octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(19)K4Nb2 octahedra, corners with two equivalent O(17)K4W2 octahedra, corners with two equivalent O(18)KNa3W2 octahedra, corners with four equivalent O(12)K3NaNbW octahedra, edges with two equivalent O(11)K3NaNbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(5)K3NaW2 octahedra,  a faceface with one O(23)K4Nb2 octahedra,  a faceface with one O(21)K4NbW octahedra, and  a faceface with one O(22)KNa3NbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 to one K(1), one K(2), one K(3), one K(4), one W(1), and one W(2) atom to form distorted OK4W2 octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(18)KNa3W2 octahedra, corners with four equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(19)K4Nb2 octahedra, edges with two equivalent O(21)K4NbW octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the eighteenth O site, O(18) is bonded to one K(5), one Na(1), one Na(2), one Na(3), one W(1), and one W(2) atom to form distorted OKNa3W2 octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(17)K4W2 octahedra, edges with two equivalent O(22)KNa3NbW octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(11)K3NaNbW octahedra,  a faceface with one O(12)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. 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 OK4Nb2 octahedra that share corners with two equivalent O(13)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(15)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with four equivalent O(21)K4NbW octahedra, edges with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(17)K4W2 octahedra,  a faceface with one O(10)K2Na2NbW octahedra,  a faceface with one O(9)K2Na2NbW octahedra,  a faceface with one O(11)K3NaNbW octahedra, and  a faceface with one O(12)K3NaNbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 to one K(1), one K(2), one K(3), one K(4), one Nb(3), and one W(3) atom to form distorted OK4NbW octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(22)KNa3NbW octahedra, corners with four equivalent O(19)K4Nb2 octahedra, edges with two equivalent O(23)K4Nb2 octahedra, edges with two equivalent O(17)K4W2 octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the twenty-second O site, O(22) is bonded to one K(5), one Na(1), one Na(2), one Na(3), one Nb(3), and one W(3) atom to form distorted OKNa3NbW octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(21)K4NbW octahedra, edges with two equivalent O(18)KNa3W2 octahedra,  a faceface with one O(13)K2Na2NbW octahedra,  a faceface with one O(2)K2Na2NbW octahedra,  a faceface with one O(1)K2Na2W2 octahedra,  a faceface with one O(15)K3NaNbW octahedra,  a faceface with one O(6)K3NaNbW octahedra, and  a faceface with one O(5)K3NaW2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. 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 OK4Nb2 octahedra that share corners with two equivalent O(10)K2Na2NbW octahedra, corners with two equivalent O(2)K2Na2NbW octahedra, corners with two equivalent O(9)K2Na2NbW octahedra, corners with two equivalent O(1)K2Na2W2 octahedra, corners with two equivalent O(11)K3NaNbW octahedra, corners with two equivalent O(12)K3NaNbW octahedra, corners with two equivalent O(6)K3NaNbW octahedra, corners with two equivalent O(5)K3NaW2 octahedra, corners with four equivalent O(17)K4W2 octahedra, edges with two equivalent O(19)K4Nb2 octahedra, edges with two equivalent O(21)K4NbW octahedra,  a faceface with one O(13)K2Na2NbW octahedra, and  a faceface with one O(15)K3NaNbW octahedra. The corner-sharing octahedral tilt angles range from 1-61°. 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 Crystallographic Information File (CIF) [CIF]
data_K5Na3Nb5(WO8)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.056
_cell_length_b   8.057
_cell_length_c   8.057
_cell_angle_alpha   89.992
_cell_angle_beta   89.701
_cell_angle_gamma   89.980
_symmetry_Int_Tables_number   1
_cell_volume   522.951
_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  0.249  0.250  0.249  1.0
  K  K1  1  0.249  0.750  0.249  1.0
  K  K2  1  0.751  0.251  0.249  1.0
  K  K3  1  0.751  0.749  0.249  1.0
  K  K4  1  0.751  0.750  0.751  1.0
  Na  Na5  1  0.249  0.251  0.751  1.0
  Na  Na6  1  0.249  0.749  0.751  1.0
  Na  Na7  1  0.751  0.251  0.751  1.0
  Nb  Nb8  1  0.001  0.499  0.999  1.0
  Nb  Nb9  1  0.000  0.500  0.501  1.0
  Nb  Nb10  1  0.499  0.000  0.503  1.0
  Nb  Nb11  1  0.500  0.500  0.999  1.0
  Nb  Nb12  1  0.500  0.499  0.501  1.0
  W  W13  1  0.000  0.000  0.999  1.0
  W  W14  1  1.000  0.000  0.501  1.0
  W  W15  1  0.500  0.000  1.000  1.0
  O  O16  1  0.252  0.000  0.994  1.0
  O  O17  1  0.247  0.000  0.504  1.0
  O  O18  1  0.248  0.500  0.996  1.0
  O  O19  1  0.251  0.499  0.504  1.0
  O  O20  1  0.748  0.002  0.999  1.0
  O  O21  1  0.754  0.002  0.502  1.0
  O  O22  1  0.751  0.498  0.998  1.0
  O  O23  1  0.749  0.498  0.503  1.0
  O  O24  1  0.001  0.245  0.997  1.0
  O  O25  1  0.000  0.252  0.504  1.0
  O  O26  1  0.002  0.755  0.997  1.0
  O  O27  1  0.002  0.748  0.503  1.0
  O  O28  1  0.500  0.252  0.996  1.0
  O  O29  1  0.499  0.247  0.504  1.0
  O  O30  1  0.498  0.748  0.997  1.0
  O  O31  1  0.498  0.753  0.503  1.0
  O  O32  1  0.999  0.000  0.251  1.0
  O  O33  1  0.003  0.002  0.749  1.0
  O  O34  1  0.000  0.500  0.248  1.0
  O  O35  1  0.002  0.498  0.752  1.0
  O  O36  1  0.501  0.000  0.247  1.0
  O  O37  1  0.497  0.002  0.752  1.0
  O  O38  1  0.500  0.499  0.251  1.0
  O  O39  1  0.498  0.498  0.749  1.0
[/CIF]
.