Na3V5O10 crystallizes in the triclinic P1 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(10), one O(11), one O(13), one O(15), one O(2), and one O(3) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra, and  an edgeedge with one V(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. In the second Na site, Na(2) is bonded to one O(1), one O(12), one O(14), one O(16), one O(4), and one O(9) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and  an edgeedge with one V(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. In the third Na site, Na(3) is bonded to one O(1), one O(12), one O(17), one O(20), one O(5), and one O(7) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, and edges with two equivalent Na(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-18°. In the fourth Na site, Na(4) is bonded to one O(11), one O(18), one O(19), one O(2), one O(6), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, and edges with two equivalent Na(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-18°. In the fifth Na site, Na(5) is bonded to one O(17), one O(20), one O(4), one O(5), one O(7), and one O(9) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(7)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, and edges with two equivalent Na(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-18°. In the sixth Na site, Na(6) is bonded to one O(10), one O(18), one O(19), one O(3), one O(6), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, and edges with two equivalent Na(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-18°. There are ten inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(15), one O(2), one O(4), one O(5), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(8)O6 octahedra, and edges with two equivalent V(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-14°. In the second V site, V(2) is bonded to one O(11), one O(13), one O(17), one O(19), one O(7), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-14°. In the third V site, V(3) is bonded to one O(10), one O(12), one O(14), one O(18), one O(20), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent V(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. In the fourth V site, V(4) is bonded to one O(11), one O(16), one O(17), one O(19), one O(6), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra, edges with two equivalent V(10)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-17°. In the fifth V site, V(5) is bonded to one O(10), one O(12), one O(15), one O(18), one O(20), and one O(5) atom to form VO6 octahedra that share  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-17°. In the sixth V site, V(6) is bonded to one O(1), one O(13), one O(16), one O(3), one O(6), and one O(7) atom to form VO6 octahedra that share  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra, edges with two equivalent V(10)O6 octahedra, and edges with two equivalent V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-14°. In the seventh V site, V(7) is bonded to one O(1), one O(11), one O(13), one O(17), one O(3), and one O(7) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(4)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. In the eighth V site, V(8) is bonded to one O(12), one O(14), one O(18), one O(2), one O(4), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. In the ninth V site, V(9) is bonded to one O(10), one O(15), one O(2), one O(20), one O(4), and one O(5) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-19°. In the tenth V site, V(10) is bonded to one O(1), one O(16), one O(19), one O(3), one O(6), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(7)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-19°. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Na(3), one V(10), one V(6), and one V(7) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the second O site, O(2) is bonded to one Na(1), one Na(4), one V(1), one V(8), and one V(9) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the third O site, O(3) is bonded to one Na(1), one Na(6), one V(10), one V(6), and one V(7) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Na(2), one Na(5), one V(1), one V(8), and one V(9) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Na(3), one Na(5), one V(1), one V(5), and one V(9) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(17)Na2V3 square pyramids,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, edges with two equivalent O(20)Na2V3 square pyramids, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Na(4), one Na(6), one V(10), one V(4), and one V(6) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid, corners with two equivalent O(18)Na2V3 square pyramids,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, edges with two equivalent O(19)Na2V3 square pyramids, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Na(5), one V(2), one V(6), and one V(7) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid, corners with two equivalent O(20)Na2V3 square pyramids,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and edges with two equivalent O(17)Na2V3 square pyramids. In the eighth O site, O(8) is bonded to one Na(4), one Na(6), one V(1), one V(3), and one V(8) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid, corners with two equivalent O(19)Na2V3 square pyramids,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid, and edges with two equivalent O(18)Na2V3 square pyramids. In the ninth O site, O(9) is bonded to one Na(2), one Na(5), one V(10), one V(2), and one V(4) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Na(1), one Na(6), one V(3), one V(5), and one V(9) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Na(1), one Na(4), one V(2), one V(4), and one V(7) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, and  an edgeedge with one O(9)Na2V3 square pyramid. In the twelfth O site, O(12) is bonded to one Na(2), one Na(3), one V(3), one V(5), and one V(8) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid, and  an edgeedge with one O(8)Na2V3 square pyramid. In the thirteenth O site, O(13) is bonded in a distorted see-saw-like geometry to one Na(1), one V(2), one V(6), and one V(7) atom. In the fourteenth O site, O(14) is bonded in a distorted see-saw-like geometry to one Na(2), one V(1), one V(3), and one V(8) atom. In the fifteenth O site, O(15) is bonded to one Na(1), one V(1), one V(5), and one V(9) atom to form a mixture of distorted corner and edge-sharing ONaV3 trigonal pyramids. In the sixteenth O site, O(16) is bonded to one Na(2), one V(10), one V(4), and one V(6) atom to form a mixture of distorted corner and edge-sharing ONaV3 trigonal pyramids. In the seventeenth O site, O(17) is bonded to one Na(3), one Na(5), one V(2), one V(4), and one V(7) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(5)Na2V3 square pyramids,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and edges with two equivalent O(7)Na2V3 square pyramids. In the eighteenth O site, O(18) is bonded to one Na(4), one Na(6), one V(3), one V(5), and one V(8) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid, corners with two equivalent O(6)Na2V3 square pyramids,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid, and edges with two equivalent O(8)Na2V3 square pyramids. In the nineteenth O site, O(19) is bonded to one Na(4), one Na(6), one V(10), one V(2), and one V(4) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(8)Na2V3 square pyramids,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, edges with two equivalent O(6)Na2V3 square pyramids, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the twentieth O site, O(20) is bonded to one Na(3), one Na(5), one V(3), one V(5), and one V(9) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(7)Na2V3 square pyramids,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid, edges with two equivalent O(5)Na2V3 square pyramids, and  an edgeedge with one O(15)NaV3 trigonal pyramid.
Na3V5O10 crystallizes in the triclinic P1 space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(10), one O(11), one O(13), one O(15), one O(2), and one O(3) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra, and  an edgeedge with one V(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. The Na(1)-O(10) bond length is 2.45 Å. The Na(1)-O(11) bond length is 2.44 Å. The Na(1)-O(13) bond length is 2.40 Å. The Na(1)-O(15) bond length is 2.41 Å. The Na(1)-O(2) bond length is 2.47 Å. The Na(1)-O(3) bond length is 2.47 Å. In the second Na site, Na(2) is bonded to one O(1), one O(12), one O(14), one O(16), one O(4), and one O(9) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, and  an edgeedge with one V(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. The Na(2)-O(1) bond length is 2.47 Å. The Na(2)-O(12) bond length is 2.44 Å. The Na(2)-O(14) bond length is 2.40 Å. The Na(2)-O(16) bond length is 2.41 Å. The Na(2)-O(4) bond length is 2.47 Å. The Na(2)-O(9) bond length is 2.45 Å. In the third Na site, Na(3) is bonded to one O(1), one O(12), one O(17), one O(20), one O(5), and one O(7) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, and edges with two equivalent Na(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-18°. The Na(3)-O(1) bond length is 2.42 Å. The Na(3)-O(12) bond length is 2.43 Å. The Na(3)-O(17) bond length is 2.46 Å. The Na(3)-O(20) bond length is 2.37 Å. The Na(3)-O(5) bond length is 2.47 Å. The Na(3)-O(7) bond length is 2.40 Å. In the fourth Na site, Na(4) is bonded to one O(11), one O(18), one O(19), one O(2), one O(6), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one V(5)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, and edges with two equivalent Na(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-18°. The Na(4)-O(11) bond length is 2.43 Å. The Na(4)-O(18) bond length is 2.45 Å. The Na(4)-O(19) bond length is 2.37 Å. The Na(4)-O(2) bond length is 2.42 Å. The Na(4)-O(6) bond length is 2.47 Å. The Na(4)-O(8) bond length is 2.40 Å. In the fifth Na site, Na(5) is bonded to one O(17), one O(20), one O(4), one O(5), one O(7), and one O(9) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(6)O6 octahedra,  a cornercorner with one V(8)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(7)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, and edges with two equivalent Na(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-18°. The Na(5)-O(17) bond length is 2.45 Å. The Na(5)-O(20) bond length is 2.53 Å. The Na(5)-O(4) bond length is 2.43 Å. The Na(5)-O(5) bond length is 2.39 Å. The Na(5)-O(7) bond length is 2.46 Å. The Na(5)-O(9) bond length is 2.43 Å. In the sixth Na site, Na(6) is bonded to one O(10), one O(18), one O(19), one O(3), one O(6), and one O(8) atom to form distorted NaO6 octahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(10)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra,  a cornercorner with one V(7)O6 octahedra,  a cornercorner with one V(9)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, and edges with two equivalent Na(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-18°. The Na(6)-O(10) bond length is 2.43 Å. The Na(6)-O(18) bond length is 2.45 Å. The Na(6)-O(19) bond length is 2.53 Å. The Na(6)-O(3) bond length is 2.43 Å. The Na(6)-O(6) bond length is 2.39 Å. The Na(6)-O(8) bond length is 2.46 Å. There are ten inequivalent V sites. In the first V site, V(1) is bonded to one O(14), one O(15), one O(2), one O(4), one O(5), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(5)O6 octahedra, edges with two equivalent V(8)O6 octahedra, and edges with two equivalent V(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-14°. The V(1)-O(14) bond length is 2.02 Å. The V(1)-O(15) bond length is 1.99 Å. The V(1)-O(2) bond length is 1.91 Å. The V(1)-O(4) bond length is 1.91 Å. The V(1)-O(5) bond length is 2.02 Å. The V(1)-O(8) bond length is 2.07 Å. In the second V site, V(2) is bonded to one O(11), one O(13), one O(17), one O(19), one O(7), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(6)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-14°. The V(2)-O(11) bond length is 1.95 Å. The V(2)-O(13) bond length is 2.01 Å. The V(2)-O(17) bond length is 1.89 Å. The V(2)-O(19) bond length is 2.02 Å. The V(2)-O(7) bond length is 2.03 Å. The V(2)-O(9) bond length is 2.02 Å. In the third V site, V(3) is bonded to one O(10), one O(12), one O(14), one O(18), one O(20), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, edges with two equivalent V(5)O6 octahedra, and edges with two equivalent V(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 9-14°. The V(3)-O(10) bond length is 2.02 Å. The V(3)-O(12) bond length is 1.96 Å. The V(3)-O(14) bond length is 2.01 Å. The V(3)-O(18) bond length is 1.89 Å. The V(3)-O(20) bond length is 2.01 Å. The V(3)-O(8) bond length is 2.03 Å. In the fourth V site, V(4) is bonded to one O(11), one O(16), one O(17), one O(19), one O(6), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(6)O6 octahedra,  an edgeedge with one V(7)O6 octahedra, edges with two equivalent V(10)O6 octahedra, and edges with two equivalent V(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-17°. The V(4)-O(11) bond length is 2.08 Å. The V(4)-O(16) bond length is 2.02 Å. The V(4)-O(17) bond length is 2.13 Å. The V(4)-O(19) bond length is 2.01 Å. The V(4)-O(6) bond length is 2.07 Å. The V(4)-O(9) bond length is 2.03 Å. In the fifth V site, V(5) is bonded to one O(10), one O(12), one O(15), one O(18), one O(20), and one O(5) atom to form VO6 octahedra that share  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, edges with two equivalent V(3)O6 octahedra, and edges with two equivalent V(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-17°. The V(5)-O(10) bond length is 2.03 Å. The V(5)-O(12) bond length is 2.07 Å. The V(5)-O(15) bond length is 2.01 Å. The V(5)-O(18) bond length is 2.12 Å. The V(5)-O(20) bond length is 2.01 Å. The V(5)-O(5) bond length is 2.07 Å. In the sixth V site, V(6) is bonded to one O(1), one O(13), one O(16), one O(3), one O(6), and one O(7) atom to form VO6 octahedra that share  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra, edges with two equivalent V(10)O6 octahedra, and edges with two equivalent V(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-14°. The V(6)-O(1) bond length is 1.91 Å. The V(6)-O(13) bond length is 2.02 Å. The V(6)-O(16) bond length is 2.00 Å. The V(6)-O(3) bond length is 1.91 Å. The V(6)-O(6) bond length is 2.02 Å. The V(6)-O(7) bond length is 2.08 Å. In the seventh V site, V(7) is bonded to one O(1), one O(11), one O(13), one O(17), one O(3), and one O(7) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(10)O6 octahedra,  an edgeedge with one V(4)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. The V(7)-O(1) bond length is 2.10 Å. The V(7)-O(11) bond length is 2.06 Å. The V(7)-O(13) bond length is 2.00 Å. The V(7)-O(17) bond length is 2.09 Å. The V(7)-O(3) bond length is 2.07 Å. The V(7)-O(7) bond length is 2.04 Å. In the eighth V site, V(8) is bonded to one O(12), one O(14), one O(18), one O(2), one O(4), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(5)O6 octahedra,  an edgeedge with one V(9)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-19°. The V(8)-O(12) bond length is 2.06 Å. The V(8)-O(14) bond length is 2.00 Å. The V(8)-O(18) bond length is 2.09 Å. The V(8)-O(2) bond length is 2.10 Å. The V(8)-O(4) bond length is 2.07 Å. The V(8)-O(8) bond length is 2.04 Å. In the ninth V site, V(9) is bonded to one O(10), one O(15), one O(2), one O(20), one O(4), and one O(5) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one V(3)O6 octahedra,  an edgeedge with one V(8)O6 octahedra, edges with two equivalent V(1)O6 octahedra, and edges with two equivalent V(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-19°. The V(9)-O(10) bond length is 2.05 Å. The V(9)-O(15) bond length is 2.01 Å. The V(9)-O(2) bond length is 2.10 Å. The V(9)-O(20) bond length is 2.07 Å. The V(9)-O(4) bond length is 2.12 Å. The V(9)-O(5) bond length is 2.04 Å. In the tenth V site, V(10) is bonded to one O(1), one O(16), one O(19), one O(3), one O(6), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(2)O6 octahedra,  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  a cornercorner with one Na(6)O6 octahedra,  an edgeedge with one Na(2)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(7)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent V(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-19°. The V(10)-O(1) bond length is 2.09 Å. The V(10)-O(16) bond length is 2.01 Å. The V(10)-O(19) bond length is 2.07 Å. The V(10)-O(3) bond length is 2.12 Å. The V(10)-O(6) bond length is 2.04 Å. The V(10)-O(9) bond length is 2.05 Å. There are twenty inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Na(3), one V(10), one V(6), and one V(7) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the second O site, O(2) is bonded to one Na(1), one Na(4), one V(1), one V(8), and one V(9) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the third O site, O(3) is bonded to one Na(1), one Na(6), one V(10), one V(6), and one V(7) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Na(2), one Na(5), one V(1), one V(8), and one V(9) atom to form distorted ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Na(3), one Na(5), one V(1), one V(5), and one V(9) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(17)Na2V3 square pyramids,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, edges with two equivalent O(20)Na2V3 square pyramids, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the sixth O site, O(6) is bonded to one Na(4), one Na(6), one V(10), one V(4), and one V(6) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid, corners with two equivalent O(18)Na2V3 square pyramids,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, edges with two equivalent O(19)Na2V3 square pyramids, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Na(5), one V(2), one V(6), and one V(7) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid, corners with two equivalent O(20)Na2V3 square pyramids,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and edges with two equivalent O(17)Na2V3 square pyramids. In the eighth O site, O(8) is bonded to one Na(4), one Na(6), one V(1), one V(3), and one V(8) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid, corners with two equivalent O(19)Na2V3 square pyramids,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid, and edges with two equivalent O(18)Na2V3 square pyramids. In the ninth O site, O(9) is bonded to one Na(2), one Na(5), one V(10), one V(2), and one V(4) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the tenth O site, O(10) is bonded to one Na(1), one Na(6), one V(3), one V(5), and one V(9) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid,  an edgeedge with one O(8)Na2V3 square pyramid, and  an edgeedge with one O(15)NaV3 trigonal pyramid. In the eleventh O site, O(11) is bonded to one Na(1), one Na(4), one V(2), one V(4), and one V(7) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(19)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(6)Na2V3 square pyramid,  an edgeedge with one O(7)Na2V3 square pyramid, and  an edgeedge with one O(9)Na2V3 square pyramid. In the twelfth O site, O(12) is bonded to one Na(2), one Na(3), one V(3), one V(5), and one V(8) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(17)Na2V3 square pyramid,  a cornercorner with one O(18)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(20)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid,  a cornercorner with one O(15)NaV3 trigonal pyramid,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid,  an edgeedge with one O(5)Na2V3 square pyramid, and  an edgeedge with one O(8)Na2V3 square pyramid. In the thirteenth O site, O(13) is bonded in a distorted see-saw-like geometry to one Na(1), one V(2), one V(6), and one V(7) atom. In the fourteenth O site, O(14) is bonded in a distorted see-saw-like geometry to one Na(2), one V(1), one V(3), and one V(8) atom. In the fifteenth O site, O(15) is bonded to one Na(1), one V(1), one V(5), and one V(9) atom to form a mixture of distorted corner and edge-sharing ONaV3 trigonal pyramids. In the sixteenth O site, O(16) is bonded to one Na(2), one V(10), one V(4), and one V(6) atom to form a mixture of distorted corner and edge-sharing ONaV3 trigonal pyramids. In the seventeenth O site, O(17) is bonded to one Na(3), one Na(5), one V(2), one V(4), and one V(7) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(6)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(5)Na2V3 square pyramids,  a cornercorner with one O(16)NaV3 trigonal pyramid,  an edgeedge with one O(1)Na2V3 square pyramid,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, and edges with two equivalent O(7)Na2V3 square pyramids. In the eighteenth O site, O(18) is bonded to one Na(4), one Na(6), one V(3), one V(5), and one V(8) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(3)Na2V3 square pyramid,  a cornercorner with one O(4)Na2V3 square pyramid,  a cornercorner with one O(5)Na2V3 square pyramid, corners with two equivalent O(6)Na2V3 square pyramids,  a cornercorner with one O(15)NaV3 trigonal pyramid,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(19)Na2V3 square pyramid,  an edgeedge with one O(2)Na2V3 square pyramid,  an edgeedge with one O(20)Na2V3 square pyramid, and edges with two equivalent O(8)Na2V3 square pyramids. In the nineteenth O site, O(19) is bonded to one Na(4), one Na(6), one V(10), one V(2), and one V(4) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(11)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(7)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(8)Na2V3 square pyramids,  an edgeedge with one O(11)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(3)Na2V3 square pyramid,  an edgeedge with one O(9)Na2V3 square pyramid, edges with two equivalent O(6)Na2V3 square pyramids, and  an edgeedge with one O(16)NaV3 trigonal pyramid. In the twentieth O site, O(20) is bonded to one Na(3), one Na(5), one V(3), one V(5), and one V(9) atom to form ONa2V3 square pyramids that share  a cornercorner with one O(1)Na2V3 square pyramid,  a cornercorner with one O(10)Na2V3 square pyramid,  a cornercorner with one O(12)Na2V3 square pyramid,  a cornercorner with one O(2)Na2V3 square pyramid,  a cornercorner with one O(8)Na2V3 square pyramid,  a cornercorner with one O(9)Na2V3 square pyramid, corners with two equivalent O(7)Na2V3 square pyramids,  an edgeedge with one O(10)Na2V3 square pyramid,  an edgeedge with one O(12)Na2V3 square pyramid,  an edgeedge with one O(17)Na2V3 square pyramid,  an edgeedge with one O(18)Na2V3 square pyramid,  an edgeedge with one O(4)Na2V3 square pyramid, edges with two equivalent O(5)Na2V3 square pyramids, and  an edgeedge with one O(15)NaV3 trigonal pyramid.