The compound described by K3Na5VMo7O24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to one O(1), one O(13), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), one O(9), and two equivalent O(11) atoms 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(4)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the second K site, K(2) is bonded to one O(13), one O(9), two equivalent O(11), two equivalent O(5), two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms to form KO12 cuboctahedra that share corners with four equivalent Na(1)O12 cuboctahedra, corners with eight equivalent Na(3)O12 cuboctahedra, faces with two equivalent Na(4)O12 cuboctahedra, faces with four equivalent K(1)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(13), one O(9), two equivalent O(1), two equivalent O(11), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with eight equivalent Na(3)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with four equivalent K(1)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the second Na site, Na(2) is bonded to one O(10), one O(14), two equivalent O(1), two equivalent O(12), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(4)O12 cuboctahedra, corners with eight equivalent K(1)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, faces with four equivalent Na(3)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the third Na site, Na(3) is bonded to one O(1), one O(10), one O(14), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and two equivalent O(12) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(4)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the fourth Na site, Na(4) is bonded to one O(10), one O(14), two equivalent O(12), two equivalent O(5), two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(2)O12 cuboctahedra, corners with eight equivalent K(1)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with four equivalent Na(3)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. V(1) is bonded to one O(13), one O(14), two equivalent O(4), and two equivalent O(8) atoms to form VO6 octahedra that share corners with two equivalent Mo(5)O6 octahedra, corners with four equivalent Mo(4)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are five inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(10), one O(9), two equivalent O(1), and two equivalent O(5) atoms to form MoO6 octahedra that share corners with two equivalent Mo(2)O6 octahedra, corners with four equivalent Mo(3)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Mo site, Mo(2) is bonded to one O(10), one O(9), two equivalent O(2), and two equivalent O(6) atoms to form MoO6 octahedra that share corners with two equivalent Mo(1)O6 octahedra, corners with four equivalent Mo(4)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third Mo site, Mo(3) is bonded to one O(1), one O(11), one O(12), one O(3), one O(5), and one O(7) atom to form MoO6 octahedra that share corners with two equivalent Mo(1)O6 octahedra, corners with two equivalent Mo(4)O6 octahedra, corners with two equivalent Mo(5)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth Mo site, Mo(4) is bonded to one O(11), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form MoO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent Mo(2)O6 octahedra, corners with two equivalent Mo(3)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth Mo site, Mo(5) is bonded to one O(13), one O(14), two equivalent O(3), and two equivalent O(7) atoms to form MoO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Mo(3)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one Mo(1), and one Mo(3) atom to form distorted OKNa3Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(4)KNa3VMo octahedra, edges with two equivalent O(2)KNa3Mo2 octahedra, edges with two equivalent O(3)KNa3Mo2 octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the second O site, O(2) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one Mo(2), and one Mo(4) atom to form distorted OKNa3Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(3)KNa3Mo2 octahedra, edges with two equivalent O(1)KNa3Mo2 octahedra, edges with two equivalent O(4)KNa3VMo octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the third O site, O(3) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one Mo(3), and one Mo(5) atom to form distorted OKNa3Mo2 octahedra that share corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(2)KNa3Mo2 octahedra, edges with two equivalent O(1)KNa3Mo2 octahedra, edges with two equivalent O(4)KNa3VMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the fourth O site, O(4) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one V(1), and one Mo(4) atom to form distorted OKNa3VMo octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(1)KNa3Mo2 octahedra, edges with two equivalent O(2)KNa3Mo2 octahedra, edges with two equivalent O(3)KNa3Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the fifth O site, O(5) is bonded to one K(1), one K(2), one Na(3), one Na(4), one Mo(1), and one Mo(3) atom to form distorted OK2Na2Mo2 octahedra that share corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(8)K2Na2VMo octahedra, edges with two equivalent O(6)K2Na2Mo2 octahedra, edges with two equivalent O(7)K2Na2Mo2 octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the sixth O site, O(6) is bonded to one K(1), one K(2), one Na(3), one Na(4), one Mo(2), and one Mo(4) atom to form distorted OK2Na2Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(7)K2Na2Mo2 octahedra, edges with two equivalent O(5)K2Na2Mo2 octahedra, edges with two equivalent O(8)K2Na2VMo octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the seventh O site, O(7) is bonded to one K(1), one K(2), one Na(3), one Na(4), one Mo(3), and one Mo(5) atom to form distorted OK2Na2Mo2 octahedra that share corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(6)K2Na2Mo2 octahedra, edges with two equivalent O(5)K2Na2Mo2 octahedra, edges with two equivalent O(8)K2Na2VMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the eighth O site, O(8) is bonded to one K(1), one K(2), one Na(3), one Na(4), one V(1), and one Mo(4) atom to form distorted OK2Na2VMo octahedra that share corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(5)K2Na2Mo2 octahedra, edges with two equivalent O(6)K2Na2Mo2 octahedra, edges with two equivalent O(7)K2Na2Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the ninth O site, O(9) is bonded to one K(2), two equivalent K(1), one Na(1), one Mo(1), and one Mo(2) atom to form distorted OK3NaMo2 octahedra that share corners with two equivalent O(10)Na4Mo2 octahedra, corners with four equivalent O(7)K2Na2Mo2 octahedra, corners with four equivalent O(8)K2Na2VMo octahedra, corners with four equivalent O(13)K3NaVMo octahedra, corners with four equivalent O(3)KNa3Mo2 octahedra, corners with four equivalent O(4)KNa3VMo octahedra, edges with four equivalent O(11)K3NaMo2 octahedra, faces with two equivalent O(5)K2Na2Mo2 octahedra, faces with two equivalent O(6)K2Na2Mo2 octahedra, faces with two equivalent O(1)KNa3Mo2 octahedra, and faces with two equivalent O(2)KNa3Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the tenth O site, O(10) is bonded to one Na(2), one Na(4), two equivalent Na(3), one Mo(1), and one Mo(2) atom to form distorted ONa4Mo2 octahedra that share corners with two equivalent O(9)K3NaMo2 octahedra, corners with four equivalent O(7)K2Na2Mo2 octahedra, corners with four equivalent O(8)K2Na2VMo octahedra, corners with four equivalent O(3)KNa3Mo2 octahedra, corners with four equivalent O(4)KNa3VMo octahedra, corners with four equivalent O(14)Na4VMo octahedra, edges with four equivalent O(12)Na4Mo2 octahedra, faces with two equivalent O(5)K2Na2Mo2 octahedra, faces with two equivalent O(6)K2Na2Mo2 octahedra, faces with two equivalent O(1)KNa3Mo2 octahedra, and faces with two equivalent O(2)KNa3Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the eleventh O site, O(11) is bonded to one K(2), two equivalent K(1), one Na(1), one Mo(3), and one Mo(4) atom to form distorted OK3NaMo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with four equivalent O(11)K3NaMo2 octahedra, edges with two equivalent O(9)K3NaMo2 octahedra, edges with two equivalent O(13)K3NaVMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra, and  a faceface with one O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the twelfth O site, O(12) is bonded to one Na(2), one Na(4), two equivalent Na(3), one Mo(3), and one Mo(4) atom to form distorted ONa4Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with four equivalent O(12)Na4Mo2 octahedra, edges with two equivalent O(10)Na4Mo2 octahedra, edges with two equivalent O(14)Na4VMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra, and  a faceface with one O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the thirteenth O site, O(13) is bonded to one K(2), two equivalent K(1), one Na(1), one V(1), and one Mo(5) atom to form distorted OK3NaVMo octahedra that share corners with two equivalent O(14)Na4VMo octahedra, corners with four equivalent O(5)K2Na2Mo2 octahedra, corners with four equivalent O(6)K2Na2Mo2 octahedra, corners with four equivalent O(9)K3NaMo2 octahedra, corners with four equivalent O(1)KNa3Mo2 octahedra, corners with four equivalent O(2)KNa3Mo2 octahedra, edges with four equivalent O(11)K3NaMo2 octahedra, faces with two equivalent O(7)K2Na2Mo2 octahedra, faces with two equivalent O(8)K2Na2VMo octahedra, faces with two equivalent O(3)KNa3Mo2 octahedra, and faces with two equivalent O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the fourteenth O site, O(14) is bonded to one Na(2), one Na(4), two equivalent Na(3), one V(1), and one Mo(5) atom to form distorted ONa4VMo octahedra that share corners with two equivalent O(13)K3NaVMo octahedra, corners with four equivalent O(5)K2Na2Mo2 octahedra, corners with four equivalent O(6)K2Na2Mo2 octahedra, corners with four equivalent O(1)KNa3Mo2 octahedra, corners with four equivalent O(2)KNa3Mo2 octahedra, corners with four equivalent O(10)Na4Mo2 octahedra, edges with four equivalent O(12)Na4Mo2 octahedra, faces with two equivalent O(7)K2Na2Mo2 octahedra, faces with two equivalent O(8)K2Na2VMo octahedra, faces with two equivalent O(3)KNa3Mo2 octahedra, and faces with two equivalent O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-61°. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Na5VMo7O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.940
_cell_length_b   7.940
_cell_length_c   7.917
_cell_angle_alpha   89.940
_cell_angle_beta   89.940
_cell_angle_gamma   89.936
_symmetry_Int_Tables_number   1
_cell_volume   499.163
_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  0.748  0.252  0.746  1.0
  K  K1  1  0.252  0.748  0.746  1.0
  K  K2  1  0.252  0.252  0.746  1.0
  Na  Na3  1  0.747  0.747  0.745  1.0
  Na  Na4  1  0.747  0.747  0.255  1.0
  Na  Na5  1  0.747  0.253  0.255  1.0
  Na  Na6  1  0.253  0.747  0.255  1.0
  Na  Na7  1  0.253  0.253  0.255  1.0
  V  V8  1  0.501  0.501  0.498  1.0
  Mo  Mo9  1  1.000  1.000  0.001  1.0
  Mo  Mo10  1  0.999  0.999  0.499  1.0
  Mo  Mo11  1  0.999  0.500  0.002  1.0
  Mo  Mo12  1  0.999  0.501  0.498  1.0
  Mo  Mo13  1  0.500  0.999  0.002  1.0
  Mo  Mo14  1  0.501  0.999  0.498  1.0
  Mo  Mo15  1  0.501  0.501  0.002  1.0
  O  O16  1  0.740  0.998  0.003  1.0
  O  O17  1  0.744  0.998  0.497  1.0
  O  O18  1  0.743  0.502  0.003  1.0
  O  O19  1  0.753  0.502  0.497  1.0
  O  O20  1  0.260  1.000  0.005  1.0
  O  O21  1  0.256  1.000  0.496  1.0
  O  O22  1  0.258  0.501  0.005  1.0
  O  O23  1  0.246  0.501  0.496  1.0
  O  O24  1  0.998  0.740  0.003  1.0
  O  O25  1  0.998  0.744  0.497  1.0
  O  O26  1  1.000  0.260  0.005  1.0
  O  O27  1  1.000  0.256  0.496  1.0
  O  O28  1  0.502  0.743  0.003  1.0
  O  O29  1  0.502  0.753  0.497  1.0
  O  O30  1  0.501  0.258  0.005  1.0
  O  O31  1  0.501  0.246  0.496  1.0
  O  O32  1  0.998  0.998  0.739  1.0
  O  O33  1  1.000  1.000  0.259  1.0
  O  O34  1  0.998  0.502  0.744  1.0
  O  O35  1  0.999  0.501  0.255  1.0
  O  O36  1  0.502  0.998  0.744  1.0
  O  O37  1  0.501  0.999  0.255  1.0
  O  O38  1  0.502  0.502  0.746  1.0
  O  O39  1  0.501  0.501  0.256  1.0
[/CIF]
.
The compound described by K3Na5VMo7O24 is (Cubic) Perovskite-derived structured and crystallizes in the monoclinic Cm space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to one O(1), one O(13), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), one O(9), and two equivalent O(11) atoms 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(4)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, faces with two equivalent Na(3)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the second K site, K(2) is bonded to one O(13), one O(9), two equivalent O(11), two equivalent O(5), two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms to form KO12 cuboctahedra that share corners with four equivalent Na(1)O12 cuboctahedra, corners with eight equivalent Na(3)O12 cuboctahedra, faces with two equivalent Na(4)O12 cuboctahedra, faces with four equivalent K(1)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(13), one O(9), two equivalent O(1), two equivalent O(11), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with eight equivalent Na(3)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with four equivalent K(1)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the second Na site, Na(2) is bonded to one O(10), one O(14), two equivalent O(1), two equivalent O(12), two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(4)O12 cuboctahedra, corners with eight equivalent K(1)O12 cuboctahedra, faces with two equivalent Na(1)O12 cuboctahedra, faces with four equivalent Na(3)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the third Na site, Na(3) is bonded to one O(1), one O(10), one O(14), one O(2), one O(3), one O(4), one O(5), one O(6), one O(7), one O(8), and two equivalent O(12) atoms to form NaO12 cuboctahedra that share corners with four equivalent K(2)O12 cuboctahedra, corners with four equivalent Na(1)O12 cuboctahedra, corners with four equivalent Na(3)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, faces with two equivalent Na(2)O12 cuboctahedra, faces with two equivalent Na(4)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. In the fourth Na site, Na(4) is bonded to one O(10), one O(14), two equivalent O(12), two equivalent O(5), two equivalent O(6), two equivalent O(7), and two equivalent O(8) atoms to form NaO12 cuboctahedra that share corners with four equivalent Na(2)O12 cuboctahedra, corners with eight equivalent K(1)O12 cuboctahedra, faces with two equivalent K(2)O12 cuboctahedra, faces with four equivalent Na(3)O12 cuboctahedra,  a faceface with one V(1)O6 octahedra,  a faceface with one Mo(1)O6 octahedra,  a faceface with one Mo(2)O6 octahedra,  a faceface with one Mo(5)O6 octahedra, faces with two equivalent Mo(3)O6 octahedra, and faces with two equivalent Mo(4)O6 octahedra. V(1) is bonded to one O(13), one O(14), two equivalent O(4), and two equivalent O(8) atoms to form VO6 octahedra that share corners with two equivalent Mo(5)O6 octahedra, corners with four equivalent Mo(4)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are five inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(10), one O(9), two equivalent O(1), and two equivalent O(5) atoms to form MoO6 octahedra that share corners with two equivalent Mo(2)O6 octahedra, corners with four equivalent Mo(3)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the second Mo site, Mo(2) is bonded to one O(10), one O(9), two equivalent O(2), and two equivalent O(6) atoms to form MoO6 octahedra that share corners with two equivalent Mo(1)O6 octahedra, corners with four equivalent Mo(4)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the third Mo site, Mo(3) is bonded to one O(1), one O(11), one O(12), one O(3), one O(5), and one O(7) atom to form MoO6 octahedra that share corners with two equivalent Mo(1)O6 octahedra, corners with two equivalent Mo(4)O6 octahedra, corners with two equivalent Mo(5)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fourth Mo site, Mo(4) is bonded to one O(11), one O(12), one O(2), one O(4), one O(6), and one O(8) atom to form MoO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with two equivalent Mo(2)O6 octahedra, corners with two equivalent Mo(3)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. In the fifth Mo site, Mo(5) is bonded to one O(13), one O(14), two equivalent O(3), and two equivalent O(7) atoms to form MoO6 octahedra that share corners with two equivalent V(1)O6 octahedra, corners with four equivalent Mo(3)O6 octahedra,  a faceface with one K(2)O12 cuboctahedra,  a faceface with one Na(1)O12 cuboctahedra,  a faceface with one Na(2)O12 cuboctahedra,  a faceface with one Na(4)O12 cuboctahedra, faces with two equivalent K(1)O12 cuboctahedra, and faces with two equivalent Na(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-1°. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one Mo(1), and one Mo(3) atom to form distorted OKNa3Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(4)KNa3VMo octahedra, edges with two equivalent O(2)KNa3Mo2 octahedra, edges with two equivalent O(3)KNa3Mo2 octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the second O site, O(2) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one Mo(2), and one Mo(4) atom to form distorted OKNa3Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(3)KNa3Mo2 octahedra, edges with two equivalent O(1)KNa3Mo2 octahedra, edges with two equivalent O(4)KNa3VMo octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the third O site, O(3) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one Mo(3), and one Mo(5) atom to form distorted OKNa3Mo2 octahedra that share corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(2)KNa3Mo2 octahedra, edges with two equivalent O(1)KNa3Mo2 octahedra, edges with two equivalent O(4)KNa3VMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the fourth O site, O(4) is bonded to one K(1), one Na(1), one Na(2), one Na(3), one V(1), and one Mo(4) atom to form distorted OKNa3VMo octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(1)KNa3Mo2 octahedra, edges with two equivalent O(2)KNa3Mo2 octahedra, edges with two equivalent O(3)KNa3Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the fifth O site, O(5) is bonded to one K(1), one K(2), one Na(3), one Na(4), one Mo(1), and one Mo(3) atom to form distorted OK2Na2Mo2 octahedra that share corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(8)K2Na2VMo octahedra, edges with two equivalent O(6)K2Na2Mo2 octahedra, edges with two equivalent O(7)K2Na2Mo2 octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the sixth O site, O(6) is bonded to one K(1), one K(2), one Na(3), one Na(4), one Mo(2), and one Mo(4) atom to form distorted OK2Na2Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(13)K3NaVMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with two equivalent O(14)Na4VMo octahedra, corners with six equivalent O(7)K2Na2Mo2 octahedra, edges with two equivalent O(5)K2Na2Mo2 octahedra, edges with two equivalent O(8)K2Na2VMo octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(9)K3NaMo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(10)Na4Mo2 octahedra, and  a faceface with one O(12)Na4Mo2 octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the seventh O site, O(7) is bonded to one K(1), one K(2), one Na(3), one Na(4), one Mo(3), and one Mo(5) atom to form distorted OK2Na2Mo2 octahedra that share corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(6)K2Na2Mo2 octahedra, edges with two equivalent O(5)K2Na2Mo2 octahedra, edges with two equivalent O(8)K2Na2VMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 1-61°. In the eighth O site, O(8) is bonded to one K(1), one K(2), one Na(3), one Na(4), one V(1), and one Mo(4) atom to form distorted OK2Na2VMo octahedra that share corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(9)K3NaMo2 octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(10)Na4Mo2 octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with six equivalent O(5)K2Na2Mo2 octahedra, edges with two equivalent O(6)K2Na2Mo2 octahedra, edges with two equivalent O(7)K2Na2Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(11)K3NaMo2 octahedra,  a faceface with one O(13)K3NaVMo octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(4)KNa3VMo octahedra,  a faceface with one O(12)Na4Mo2 octahedra, and  a faceface with one O(14)Na4VMo octahedra. The corner-sharing octahedral tilt angles range from 0-63°. In the ninth O site, O(9) is bonded to one K(2), two equivalent K(1), one Na(1), one Mo(1), and one Mo(2) atom to form distorted OK3NaMo2 octahedra that share corners with two equivalent O(10)Na4Mo2 octahedra, corners with four equivalent O(7)K2Na2Mo2 octahedra, corners with four equivalent O(8)K2Na2VMo octahedra, corners with four equivalent O(13)K3NaVMo octahedra, corners with four equivalent O(3)KNa3Mo2 octahedra, corners with four equivalent O(4)KNa3VMo octahedra, edges with four equivalent O(11)K3NaMo2 octahedra, faces with two equivalent O(5)K2Na2Mo2 octahedra, faces with two equivalent O(6)K2Na2Mo2 octahedra, faces with two equivalent O(1)KNa3Mo2 octahedra, and faces with two equivalent O(2)KNa3Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the tenth O site, O(10) is bonded to one Na(2), one Na(4), two equivalent Na(3), one Mo(1), and one Mo(2) atom to form distorted ONa4Mo2 octahedra that share corners with two equivalent O(9)K3NaMo2 octahedra, corners with four equivalent O(7)K2Na2Mo2 octahedra, corners with four equivalent O(8)K2Na2VMo octahedra, corners with four equivalent O(3)KNa3Mo2 octahedra, corners with four equivalent O(4)KNa3VMo octahedra, corners with four equivalent O(14)Na4VMo octahedra, edges with four equivalent O(12)Na4Mo2 octahedra, faces with two equivalent O(5)K2Na2Mo2 octahedra, faces with two equivalent O(6)K2Na2Mo2 octahedra, faces with two equivalent O(1)KNa3Mo2 octahedra, and faces with two equivalent O(2)KNa3Mo2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the eleventh O site, O(11) is bonded to one K(2), two equivalent K(1), one Na(1), one Mo(3), and one Mo(4) atom to form distorted OK3NaMo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with two equivalent O(12)Na4Mo2 octahedra, corners with four equivalent O(11)K3NaMo2 octahedra, edges with two equivalent O(9)K3NaMo2 octahedra, edges with two equivalent O(13)K3NaVMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra, and  a faceface with one O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the twelfth O site, O(12) is bonded to one Na(2), one Na(4), two equivalent Na(3), one Mo(3), and one Mo(4) atom to form distorted ONa4Mo2 octahedra that share corners with two equivalent O(5)K2Na2Mo2 octahedra, corners with two equivalent O(6)K2Na2Mo2 octahedra, corners with two equivalent O(7)K2Na2Mo2 octahedra, corners with two equivalent O(8)K2Na2VMo octahedra, corners with two equivalent O(11)K3NaMo2 octahedra, corners with two equivalent O(1)KNa3Mo2 octahedra, corners with two equivalent O(2)KNa3Mo2 octahedra, corners with two equivalent O(3)KNa3Mo2 octahedra, corners with two equivalent O(4)KNa3VMo octahedra, corners with four equivalent O(12)Na4Mo2 octahedra, edges with two equivalent O(10)Na4Mo2 octahedra, edges with two equivalent O(14)Na4VMo octahedra,  a faceface with one O(5)K2Na2Mo2 octahedra,  a faceface with one O(6)K2Na2Mo2 octahedra,  a faceface with one O(7)K2Na2Mo2 octahedra,  a faceface with one O(8)K2Na2VMo octahedra,  a faceface with one O(1)KNa3Mo2 octahedra,  a faceface with one O(2)KNa3Mo2 octahedra,  a faceface with one O(3)KNa3Mo2 octahedra, and  a faceface with one O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the thirteenth O site, O(13) is bonded to one K(2), two equivalent K(1), one Na(1), one V(1), and one Mo(5) atom to form distorted OK3NaVMo octahedra that share corners with two equivalent O(14)Na4VMo octahedra, corners with four equivalent O(5)K2Na2Mo2 octahedra, corners with four equivalent O(6)K2Na2Mo2 octahedra, corners with four equivalent O(9)K3NaMo2 octahedra, corners with four equivalent O(1)KNa3Mo2 octahedra, corners with four equivalent O(2)KNa3Mo2 octahedra, edges with four equivalent O(11)K3NaMo2 octahedra, faces with two equivalent O(7)K2Na2Mo2 octahedra, faces with two equivalent O(8)K2Na2VMo octahedra, faces with two equivalent O(3)KNa3Mo2 octahedra, and faces with two equivalent O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-62°. In the fourteenth O site, O(14) is bonded to one Na(2), one Na(4), two equivalent Na(3), one V(1), and one Mo(5) atom to form distorted ONa4VMo octahedra that share corners with two equivalent O(13)K3NaVMo octahedra, corners with four equivalent O(5)K2Na2Mo2 octahedra, corners with four equivalent O(6)K2Na2Mo2 octahedra, corners with four equivalent O(1)KNa3Mo2 octahedra, corners with four equivalent O(2)KNa3Mo2 octahedra, corners with four equivalent O(10)Na4Mo2 octahedra, edges with four equivalent O(12)Na4Mo2 octahedra, faces with two equivalent O(7)K2Na2Mo2 octahedra, faces with two equivalent O(8)K2Na2VMo octahedra, faces with two equivalent O(3)KNa3Mo2 octahedra, and faces with two equivalent O(4)KNa3VMo octahedra. The corner-sharing octahedral tilt angles range from 0-61°. is represented by the Crystallographic Information File (CIF) [CIF]
data_K3Na5VMo7O24
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.940
_cell_length_b   7.940
_cell_length_c   7.917
_cell_angle_alpha   89.940
_cell_angle_beta   89.940
_cell_angle_gamma   89.936
_symmetry_Int_Tables_number   1
_cell_volume   499.163
_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  0.748  0.252  0.746  1.0
  K  K1  1  0.252  0.748  0.746  1.0
  K  K2  1  0.252  0.252  0.746  1.0
  Na  Na3  1  0.747  0.747  0.745  1.0
  Na  Na4  1  0.747  0.747  0.255  1.0
  Na  Na5  1  0.747  0.253  0.255  1.0
  Na  Na6  1  0.253  0.747  0.255  1.0
  Na  Na7  1  0.253  0.253  0.255  1.0
  V  V8  1  0.501  0.501  0.498  1.0
  Mo  Mo9  1  1.000  1.000  0.001  1.0
  Mo  Mo10  1  0.999  0.999  0.499  1.0
  Mo  Mo11  1  0.999  0.500  0.002  1.0
  Mo  Mo12  1  0.999  0.501  0.498  1.0
  Mo  Mo13  1  0.500  0.999  0.002  1.0
  Mo  Mo14  1  0.501  0.999  0.498  1.0
  Mo  Mo15  1  0.501  0.501  0.002  1.0
  O  O16  1  0.740  0.998  0.003  1.0
  O  O17  1  0.744  0.998  0.497  1.0
  O  O18  1  0.743  0.502  0.003  1.0
  O  O19  1  0.753  0.502  0.497  1.0
  O  O20  1  0.260  1.000  0.005  1.0
  O  O21  1  0.256  1.000  0.496  1.0
  O  O22  1  0.258  0.501  0.005  1.0
  O  O23  1  0.246  0.501  0.496  1.0
  O  O24  1  0.998  0.740  0.003  1.0
  O  O25  1  0.998  0.744  0.497  1.0
  O  O26  1  1.000  0.260  0.005  1.0
  O  O27  1  1.000  0.256  0.496  1.0
  O  O28  1  0.502  0.743  0.003  1.0
  O  O29  1  0.502  0.753  0.497  1.0
  O  O30  1  0.501  0.258  0.005  1.0
  O  O31  1  0.501  0.246  0.496  1.0
  O  O32  1  0.998  0.998  0.739  1.0
  O  O33  1  1.000  1.000  0.259  1.0
  O  O34  1  0.998  0.502  0.744  1.0
  O  O35  1  0.999  0.501  0.255  1.0
  O  O36  1  0.502  0.998  0.744  1.0
  O  O37  1  0.501  0.999  0.255  1.0
  O  O38  1  0.502  0.502  0.746  1.0
  O  O39  1  0.501  0.501  0.256  1.0
[/CIF]
.