Na6Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(14), one O(3), and two equivalent O(4) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. In the second Na site, Na(2) is bonded to one O(1), one O(8), and two equivalent O(2) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-72°. In the third Na site, Na(3) is bonded to one O(15), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(3)O6 octahedra. In the fourth Na site, Na(4) is bonded to one O(13), one O(5), and two equivalent O(6) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-72°. In the fifth Na site, Na(5) is bonded to one O(10), one O(17), and two equivalent O(7) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-73°. In the sixth Na site, Na(6) is bonded to one O(12), one O(15), and two equivalent O(11) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-72°. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. In the second Ti site, Ti(2) is bonded to one O(18), one O(3), two equivalent O(16), and two equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. In the third Ti site, Ti(3) is bonded to one O(10), one O(13), one O(15), one O(6), one O(7), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the fourth Ti site, Ti(4) is bonded to one O(5), one O(9), two equivalent O(2), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(13), two equivalent O(2), and two equivalent O(6) atoms to form distorted TiO6 octahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(12), two equivalent O(11), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with three equivalent Na(5)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. In the seventh Ti site, Ti(7) is bonded to one O(11), one O(12), one O(14), one O(16), one O(17), and one O(18) atom to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(7)O6 octahedra, and edges with two equivalent Ti(8)O6 octahedra. In the eighth Ti site, Ti(8) is bonded to one O(14), one O(17), two equivalent O(11), and two equivalent O(16) atoms to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(7)O6 octahedra. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Ti(5), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with two equivalent O(4)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, and edges with two equivalent O(2)NaTi3 tetrahedra. In the second O site, O(2) is bonded to one Na(2), one Ti(1), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(2)NaTi3 tetrahedra,  a cornercorner with one O(3)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra, corners with three equivalent O(4)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra, and  an edgeedge with one O(2)NaTi3 tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Ti(2), and two equivalent Ti(1) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fourth O site, O(4) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(4) atom to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifth O site, O(5) is bonded to one Na(4), one Ti(4), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(1)NaTi3 tetrahedra, corners with four equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(3)NaTi3 tetrahedra, and edges with two equivalent O(4)NaTi3 tetrahedra. In the sixth O site, O(6) is bonded to one Na(3), one Na(4), one Ti(3), and one Ti(5) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with three equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra,  an edgeedge with one O(6)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(13)NaTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Na(5), one Ti(3), and one Ti(6) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(7)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with three equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(7)Na2Ti2 trigonal pyramid,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Na(2), one Na(3), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with three equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(13)NaTi3 trigonal pyramids, corners with four equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(10)NaTi3 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Ti(4) and two equivalent Ti(1) atoms. In the tenth O site, O(10) is bonded to one Na(5), one Ti(6), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(13)NaTi3 trigonal pyramids,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Na(6), one Ti(6), one Ti(7), and one Ti(8) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra,  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(12)NaTi3 tetrahedra, and  an edgeedge with one O(14)NaTi3 tetrahedra. In the twelfth O site, O(12) is bonded to one Na(6), one Ti(6), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(14)NaTi3 tetrahedra, and edges with two equivalent O(11)NaTi3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Na(4), one Ti(5), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Na(1), one Ti(8), and two equivalent Ti(7) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifteenth O site, O(15) is bonded to one Na(3), one Na(6), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 tetrahedra that share  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(10)NaTi3 trigonal pyramids, corners with three equivalent O(8)Na2Ti2 trigonal pyramids, corners with four equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(13)NaTi3 trigonal pyramid, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(7), and one Ti(8) atom. In the seventeenth O site, O(17) is bonded to one Na(5), one Ti(8), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(12)NaTi3 tetrahedra, corners with three equivalent O(14)NaTi3 tetrahedra, corners with four equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, and corners with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2) and two equivalent Ti(7) atoms.
Na6Ti11O24 is beta indium sulfide-derived structured and crystallizes in the monoclinic Cm space group. There are six inequivalent Na sites. In the first Na site, Na(1) is bonded to one O(14), one O(3), and two equivalent O(4) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 60-65°. The Na(1)-O(14) bond length is 2.15 Å. The Na(1)-O(3) bond length is 2.18 Å. Both Na(1)-O(4) bond lengths are 2.17 Å. In the second Na site, Na(2) is bonded to one O(1), one O(8), and two equivalent O(2) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-72°. The Na(2)-O(1) bond length is 2.25 Å. The Na(2)-O(8) bond length is 2.17 Å. Both Na(2)-O(2) bond lengths are 2.20 Å. In the third Na site, Na(3) is bonded to one O(15), one O(8), two equivalent O(6), and two equivalent O(7) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(3)O6 octahedra. The Na(3)-O(15) bond length is 2.20 Å. The Na(3)-O(8) bond length is 2.20 Å. Both Na(3)-O(6) bond lengths are 2.30 Å. Both Na(3)-O(7) bond lengths are 2.30 Å. In the fourth Na site, Na(4) is bonded to one O(13), one O(5), and two equivalent O(6) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Ti(5)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-72°. The Na(4)-O(13) bond length is 2.16 Å. The Na(4)-O(5) bond length is 2.18 Å. Both Na(4)-O(6) bond lengths are 2.16 Å. In the fifth Na site, Na(5) is bonded to one O(10), one O(17), and two equivalent O(7) atoms to form NaO4 tetrahedra that share  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Na(3)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-73°. The Na(5)-O(10) bond length is 2.16 Å. The Na(5)-O(17) bond length is 2.18 Å. Both Na(5)-O(7) bond lengths are 2.16 Å. In the sixth Na site, Na(6) is bonded to one O(12), one O(15), and two equivalent O(11) atoms to form NaO4 tetrahedra that share  a cornercorner with one Na(3)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra, corners with three equivalent Ti(6)O6 octahedra, and corners with four equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-72°. The Na(6)-O(12) bond length is 2.23 Å. The Na(6)-O(15) bond length is 2.20 Å. Both Na(6)-O(11) bond lengths are 2.18 Å. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The Ti(1)-O(1) bond length is 2.03 Å. The Ti(1)-O(2) bond length is 2.02 Å. The Ti(1)-O(3) bond length is 2.00 Å. The Ti(1)-O(4) bond length is 2.01 Å. The Ti(1)-O(5) bond length is 2.05 Å. The Ti(1)-O(9) bond length is 2.00 Å. In the second Ti site, Ti(2) is bonded to one O(18), one O(3), two equivalent O(16), and two equivalent O(4) atoms to form TiO6 octahedra that share corners with three equivalent Na(1)O4 tetrahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The Ti(2)-O(18) bond length is 1.99 Å. The Ti(2)-O(3) bond length is 2.04 Å. Both Ti(2)-O(16) bond lengths are 1.98 Å. Both Ti(2)-O(4) bond lengths are 2.06 Å. In the third Ti site, Ti(3) is bonded to one O(10), one O(13), one O(15), one O(6), one O(7), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Na(2)O4 tetrahedra,  a cornercorner with one Na(6)O4 tetrahedra, corners with two equivalent Na(4)O4 tetrahedra, corners with two equivalent Na(5)O4 tetrahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The Ti(3)-O(10) bond length is 2.04 Å. The Ti(3)-O(13) bond length is 2.07 Å. The Ti(3)-O(15) bond length is 1.93 Å. The Ti(3)-O(6) bond length is 2.00 Å. The Ti(3)-O(7) bond length is 1.96 Å. The Ti(3)-O(8) bond length is 1.93 Å. In the fourth Ti site, Ti(4) is bonded to one O(5), one O(9), two equivalent O(2), and two equivalent O(4) atoms to form TiO6 octahedra that share  a cornercorner with one Na(4)O4 tetrahedra, corners with two equivalent Na(1)O4 tetrahedra, corners with two equivalent Na(2)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The Ti(4)-O(5) bond length is 2.08 Å. The Ti(4)-O(9) bond length is 2.02 Å. Both Ti(4)-O(2) bond lengths are 1.98 Å. Both Ti(4)-O(4) bond lengths are 2.04 Å. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(13), two equivalent O(2), and two equivalent O(6) atoms to form distorted TiO6 octahedra that share corners with three equivalent Na(2)O4 tetrahedra, corners with three equivalent Na(4)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The Ti(5)-O(1) bond length is 2.07 Å. The Ti(5)-O(13) bond length is 2.01 Å. Both Ti(5)-O(2) bond lengths are 2.18 Å. Both Ti(5)-O(6) bond lengths are 1.83 Å. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(12), two equivalent O(11), and two equivalent O(7) atoms to form TiO6 octahedra that share corners with three equivalent Na(5)O4 tetrahedra, corners with three equivalent Na(6)O4 tetrahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The Ti(6)-O(10) bond length is 2.06 Å. The Ti(6)-O(12) bond length is 2.01 Å. Both Ti(6)-O(11) bond lengths are 2.13 Å. Both Ti(6)-O(7) bond lengths are 1.85 Å. In the seventh Ti site, Ti(7) is bonded to one O(11), one O(12), one O(14), one O(16), one O(17), and one O(18) atom to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(7)O6 octahedra, and edges with two equivalent Ti(8)O6 octahedra. The Ti(7)-O(11) bond length is 2.04 Å. The Ti(7)-O(12) bond length is 2.05 Å. The Ti(7)-O(14) bond length is 2.01 Å. The Ti(7)-O(16) bond length is 2.01 Å. The Ti(7)-O(17) bond length is 2.04 Å. The Ti(7)-O(18) bond length is 1.98 Å. In the eighth Ti site, Ti(8) is bonded to one O(14), one O(17), two equivalent O(11), and two equivalent O(16) atoms to form TiO6 octahedra that share  a cornercorner with one Na(1)O4 tetrahedra,  a cornercorner with one Na(5)O4 tetrahedra, corners with two equivalent Na(6)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, and edges with four equivalent Ti(7)O6 octahedra. The Ti(8)-O(14) bond length is 2.05 Å. The Ti(8)-O(17) bond length is 2.05 Å. Both Ti(8)-O(11) bond lengths are 1.99 Å. Both Ti(8)-O(16) bond lengths are 2.04 Å. There are eighteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(2), one Ti(5), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(3)NaTi3 tetrahedra, corners with two equivalent O(4)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, and edges with two equivalent O(2)NaTi3 tetrahedra. In the second O site, O(2) is bonded to one Na(2), one Ti(1), one Ti(4), and one Ti(5) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(2)NaTi3 tetrahedra,  a cornercorner with one O(3)NaTi3 tetrahedra, corners with two equivalent O(5)NaTi3 tetrahedra, corners with three equivalent O(4)NaTi3 tetrahedra,  a cornercorner with one O(8)Na2Ti2 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(1)NaTi3 tetrahedra, and  an edgeedge with one O(2)NaTi3 tetrahedra. In the third O site, O(3) is bonded to one Na(1), one Ti(2), and two equivalent Ti(1) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fourth O site, O(4) is bonded to one Na(1), one Ti(1), one Ti(2), and one Ti(4) atom to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifth O site, O(5) is bonded to one Na(4), one Ti(4), and two equivalent Ti(1) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(1)NaTi3 tetrahedra, corners with four equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(3)NaTi3 tetrahedra, and edges with two equivalent O(4)NaTi3 tetrahedra. In the sixth O site, O(6) is bonded to one Na(3), one Na(4), one Ti(3), and one Ti(5) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra,  a cornercorner with one O(6)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with three equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra,  an edgeedge with one O(6)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(13)NaTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(3), one Na(5), one Ti(3), and one Ti(6) atom to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(7)Na2Ti2 trigonal pyramid,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  a cornercorner with one O(13)NaTi3 trigonal pyramid, corners with three equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(7)Na2Ti2 trigonal pyramid,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the eighth O site, O(8) is bonded to one Na(2), one Na(3), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with three equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(13)NaTi3 trigonal pyramids, corners with four equivalent O(6)Na2Ti2 trigonal pyramids,  an edgeedge with one O(10)NaTi3 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Ti(4) and two equivalent Ti(1) atoms. In the tenth O site, O(10) is bonded to one Na(5), one Ti(6), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(12)NaTi3 tetrahedra,  a cornercorner with one O(17)NaTi3 tetrahedra, corners with two equivalent O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(13)NaTi3 trigonal pyramids,  an edgeedge with one O(8)Na2Ti2 trigonal pyramid, and edges with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Na(6), one Ti(6), one Ti(7), and one Ti(8) atom to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra,  a cornercorner with one O(11)NaTi3 tetrahedra,  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(11)NaTi3 tetrahedra,  an edgeedge with one O(12)NaTi3 tetrahedra, and  an edgeedge with one O(14)NaTi3 tetrahedra. In the twelfth O site, O(12) is bonded to one Na(6), one Ti(6), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share  a cornercorner with one O(15)Na2Ti2 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(17)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(14)NaTi3 tetrahedra, and edges with two equivalent O(11)NaTi3 tetrahedra. In the thirteenth O site, O(13) is bonded to one Na(4), one Ti(5), and two equivalent Ti(3) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(1)NaTi3 tetrahedra,  a cornercorner with one O(5)NaTi3 tetrahedra, corners with two equivalent O(2)NaTi3 tetrahedra, corners with two equivalent O(6)Na2Ti2 trigonal pyramids, corners with two equivalent O(7)Na2Ti2 trigonal pyramids, corners with two equivalent O(8)Na2Ti2 trigonal pyramids, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(15)Na2Ti2 tetrahedra, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the fourteenth O site, O(14) is bonded to one Na(1), one Ti(8), and two equivalent Ti(7) atoms to form a mixture of corner and edge-sharing ONaTi3 tetrahedra. In the fifteenth O site, O(15) is bonded to one Na(3), one Na(6), and two equivalent Ti(3) atoms to form distorted ONa2Ti2 tetrahedra that share  a cornercorner with one O(12)NaTi3 tetrahedra, corners with two equivalent O(11)NaTi3 tetrahedra, corners with two equivalent O(10)NaTi3 trigonal pyramids, corners with three equivalent O(8)Na2Ti2 trigonal pyramids, corners with four equivalent O(7)Na2Ti2 trigonal pyramids,  an edgeedge with one O(13)NaTi3 trigonal pyramid, and edges with two equivalent O(6)Na2Ti2 trigonal pyramids. In the sixteenth O site, O(16) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2), one Ti(7), and one Ti(8) atom. In the seventeenth O site, O(17) is bonded to one Na(5), one Ti(8), and two equivalent Ti(7) atoms to form ONaTi3 tetrahedra that share corners with two equivalent O(12)NaTi3 tetrahedra, corners with three equivalent O(14)NaTi3 tetrahedra, corners with four equivalent O(11)NaTi3 tetrahedra,  a cornercorner with one O(10)NaTi3 trigonal pyramid, and corners with two equivalent O(7)Na2Ti2 trigonal pyramids. In the eighteenth O site, O(18) is bonded in a distorted trigonal non-coplanar geometry to one Ti(2) and two equivalent Ti(7) atoms.