Na7Ti13O26 crystallizes in the triclinic P-1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(2), one O(5), one O(7), and one O(9) atom. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom. In the third Na site, Na(3) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(13) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, edges with two equivalent Ti(6)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-16°. In the fourth Na site, Na(4) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form distorted NaO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Ti(6)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-19°. There are seven inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(12), one O(13), one O(3), one O(6), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, edges with two equivalent Ti(6)O6 octahedra, and edges with three equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-15°. In the second Ti site, Ti(2) is bonded to one O(10), one O(11), one O(2), one O(4), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the third Ti site, Ti(3) is bonded to one O(2), one O(4), one O(8), one O(9), and two equivalent O(5) atoms to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(3), two equivalent O(6), and two equivalent O(7) atoms to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. In the fifth Ti site, Ti(5) is bonded to two equivalent O(5), two equivalent O(8), and two equivalent O(9) atoms to form edge-sharing TiO6 octahedra. In the sixth Ti site, Ti(6) is bonded to one O(1), one O(10), one O(11), one O(12), one O(13), and one O(3) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the seventh Ti site, Ti(7) is bonded to one O(10), one O(11), one O(12), one O(13), one O(2), and one O(4) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-19°. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Na(1), one Ti(1), one Ti(4), and one Ti(6) atom. In the second O site, O(2) is bonded to one Na(1), one Na(4), one Ti(2), one Ti(3), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(7)Na2Ti3 square pyramid, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid, edges with two equivalent O(12)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the third O site, O(3) is bonded to one Na(2), one Na(3), one Ti(1), one Ti(4), and one Ti(6) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid, corners with two equivalent O(13)Na2Ti3 square pyramids,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(6)NaTi3 trigonal pyramids,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid, edges with two equivalent O(7)Na2Ti3 square pyramids, and  an edgeedge with one O(6)NaTi3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Na(2), one Na(3), one Ti(2), one Ti(3), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(7)Na2Ti3 square pyramid, corners with two equivalent O(11)Na2Ti3 square pyramids,  a cornercorner with one O(6)NaTi3 trigonal pyramid,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Na(1), one Na(2), one Ti(5), and two equivalent Ti(3) atoms to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(3)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(6)NaTi3 trigonal pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid, and  an edgeedge with one O(7)Na2Ti3 square pyramid. In the sixth O site, O(6) is bonded to one Na(2), one Ti(1), and two equivalent Ti(4) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid, corners with two equivalent O(3)Na2Ti3 square pyramids, corners with two equivalent O(7)Na2Ti3 square pyramids,  an edgeedge with one O(3)Na2Ti3 square pyramid, edges with two equivalent O(7)Na2Ti3 square pyramids, and  an edgeedge with one O(6)NaTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(1), one Na(2), one Ti(1), and two equivalent Ti(4) atoms to form ONa2Ti3 square pyramids that share  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid, corners with two equivalent O(6)NaTi3 trigonal pyramids,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid,  an edgeedge with one O(7)Na2Ti3 square pyramid, edges with two equivalent O(3)Na2Ti3 square pyramids, and edges with two equivalent O(6)NaTi3 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted see-saw-like geometry to one Na(2), one Ti(2), one Ti(3), and one Ti(5) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Ti(2), one Ti(3), and one Ti(5) atom. In the tenth O site, O(10) is bonded to one Na(4), one Ti(2), one Ti(6), and one Ti(7) atom to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(3)Na2Ti3 square pyramid, corners with two equivalent O(12)Na2Ti3 square pyramids, corners with two equivalent O(2)Na2Ti3 square pyramids,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid, and  an edgeedge with one O(4)Na2Ti3 square pyramid. In the eleventh O site, O(11) is bonded to two equivalent Na(3), one Ti(2), one Ti(6), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(3)Na2Ti3 square pyramid, corners with two equivalent O(13)Na2Ti3 square pyramids, corners with two equivalent O(4)Na2Ti3 square pyramids,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid, edges with two equivalent O(13)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Na(1), one Na(4), one Ti(1), one Ti(6), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(6)NaTi3 trigonal pyramid, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(7)Na2Ti3 square pyramid, edges with two equivalent O(2)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the thirteenth O site, O(13) is bonded to two equivalent Na(3), one Ti(1), one Ti(6), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(7)Na2Ti3 square pyramid, corners with two equivalent O(11)Na2Ti3 square pyramids, corners with two equivalent O(3)Na2Ti3 square pyramids,  a cornercorner with one O(6)NaTi3 trigonal pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid, edges with two equivalent O(11)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid.
Na7Ti13O26 crystallizes in the triclinic P-1 space group. There are four inequivalent Na sites. In the first Na site, Na(1) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(2), one O(5), one O(7), and one O(9) atom. The Na(1)-O(1) bond length is 2.42 Å. The Na(1)-O(12) bond length is 2.44 Å. The Na(1)-O(2) bond length is 2.41 Å. The Na(1)-O(5) bond length is 2.43 Å. The Na(1)-O(7) bond length is 2.42 Å. The Na(1)-O(9) bond length is 2.45 Å. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom. The Na(2)-O(3) bond length is 2.44 Å. The Na(2)-O(4) bond length is 2.45 Å. The Na(2)-O(5) bond length is 2.43 Å. The Na(2)-O(6) bond length is 2.42 Å. The Na(2)-O(7) bond length is 2.42 Å. The Na(2)-O(8) bond length is 2.48 Å. In the third Na site, Na(3) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(13) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, edges with two equivalent Ti(6)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-16°. The Na(3)-O(3) bond length is 2.42 Å. The Na(3)-O(4) bond length is 2.43 Å. There is one shorter (2.42 Å) and one longer (2.43 Å) Na(3)-O(11) bond length. There is one shorter (2.39 Å) and one longer (2.45 Å) Na(3)-O(13) bond length. In the fourth Na site, Na(4) is bonded to two equivalent O(10), two equivalent O(12), and two equivalent O(2) atoms to form distorted NaO6 octahedra that share corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, edges with two equivalent Ti(6)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-19°. Both Na(4)-O(10) bond lengths are 2.45 Å. Both Na(4)-O(12) bond lengths are 2.42 Å. Both Na(4)-O(2) bond lengths are 2.44 Å. There are seven inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(12), one O(13), one O(3), one O(6), and one O(7) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, edges with two equivalent Ti(6)O6 octahedra, and edges with three equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-15°. The Ti(1)-O(1) bond length is 1.98 Å. The Ti(1)-O(12) bond length is 2.01 Å. The Ti(1)-O(13) bond length is 2.06 Å. The Ti(1)-O(3) bond length is 2.08 Å. The Ti(1)-O(6) bond length is 2.03 Å. The Ti(1)-O(7) bond length is 2.06 Å. In the second Ti site, Ti(2) is bonded to one O(10), one O(11), one O(2), one O(4), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  an edgeedge with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(3)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. The Ti(2)-O(10) bond length is 2.00 Å. The Ti(2)-O(11) bond length is 2.04 Å. The Ti(2)-O(2) bond length is 2.02 Å. The Ti(2)-O(4) bond length is 2.03 Å. The Ti(2)-O(8) bond length is 1.99 Å. The Ti(2)-O(9) bond length is 2.04 Å. In the third Ti site, Ti(3) is bonded to one O(2), one O(4), one O(8), one O(9), and two equivalent O(5) atoms to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. The Ti(3)-O(2) bond length is 2.06 Å. The Ti(3)-O(4) bond length is 2.03 Å. The Ti(3)-O(8) bond length is 2.07 Å. The Ti(3)-O(9) bond length is 1.98 Å. There is one shorter (2.04 Å) and one longer (2.06 Å) Ti(3)-O(5) bond length. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(3), two equivalent O(6), and two equivalent O(7) atoms to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and edges with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 16°. The Ti(4)-O(1) bond length is 2.05 Å. The Ti(4)-O(3) bond length is 2.02 Å. There is one shorter (1.98 Å) and one longer (2.03 Å) Ti(4)-O(6) bond length. There is one shorter (2.00 Å) and one longer (2.06 Å) Ti(4)-O(7) bond length. In the fifth Ti site, Ti(5) is bonded to two equivalent O(5), two equivalent O(8), and two equivalent O(9) atoms to form edge-sharing TiO6 octahedra. Both Ti(5)-O(5) bond lengths are 2.01 Å. Both Ti(5)-O(8) bond lengths are 2.00 Å. Both Ti(5)-O(9) bond lengths are 2.01 Å. In the sixth Ti site, Ti(6) is bonded to one O(1), one O(10), one O(11), one O(12), one O(13), and one O(3) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. The Ti(6)-O(1) bond length is 1.99 Å. The Ti(6)-O(10) bond length is 2.00 Å. The Ti(6)-O(11) bond length is 2.04 Å. The Ti(6)-O(12) bond length is 2.07 Å. The Ti(6)-O(13) bond length is 1.99 Å. The Ti(6)-O(3) bond length is 2.04 Å. In the seventh Ti site, Ti(7) is bonded to one O(10), one O(11), one O(12), one O(13), one O(2), and one O(4) atom to form TiO6 octahedra that share  a cornercorner with one Na(3)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, edges with two equivalent Na(3)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 11-19°. The Ti(7)-O(10) bond length is 2.04 Å. The Ti(7)-O(11) bond length is 2.04 Å. The Ti(7)-O(12) bond length is 2.04 Å. The Ti(7)-O(13) bond length is 2.06 Å. The Ti(7)-O(2) bond length is 2.02 Å. The Ti(7)-O(4) bond length is 2.06 Å. There are thirteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Na(1), one Ti(1), one Ti(4), and one Ti(6) atom. In the second O site, O(2) is bonded to one Na(1), one Na(4), one Ti(2), one Ti(3), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(7)Na2Ti3 square pyramid, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid, edges with two equivalent O(12)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the third O site, O(3) is bonded to one Na(2), one Na(3), one Ti(1), one Ti(4), and one Ti(6) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid, corners with two equivalent O(13)Na2Ti3 square pyramids,  a cornercorner with one O(10)NaTi3 trigonal pyramid, corners with two equivalent O(6)NaTi3 trigonal pyramids,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid, edges with two equivalent O(7)Na2Ti3 square pyramids, and  an edgeedge with one O(6)NaTi3 trigonal pyramid. In the fourth O site, O(4) is bonded to one Na(2), one Na(3), one Ti(2), one Ti(3), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(7)Na2Ti3 square pyramid, corners with two equivalent O(11)Na2Ti3 square pyramids,  a cornercorner with one O(6)NaTi3 trigonal pyramid,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the fifth O site, O(5) is bonded to one Na(1), one Na(2), one Ti(5), and two equivalent Ti(3) atoms to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(3)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(6)NaTi3 trigonal pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid, and  an edgeedge with one O(7)Na2Ti3 square pyramid. In the sixth O site, O(6) is bonded to one Na(2), one Ti(1), and two equivalent Ti(4) atoms to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid, corners with two equivalent O(3)Na2Ti3 square pyramids, corners with two equivalent O(7)Na2Ti3 square pyramids,  an edgeedge with one O(3)Na2Ti3 square pyramid, edges with two equivalent O(7)Na2Ti3 square pyramids, and  an edgeedge with one O(6)NaTi3 trigonal pyramid. In the seventh O site, O(7) is bonded to one Na(1), one Na(2), one Ti(1), and two equivalent Ti(4) atoms to form ONa2Ti3 square pyramids that share  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid, corners with two equivalent O(6)NaTi3 trigonal pyramids,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(5)Na2Ti3 square pyramid,  an edgeedge with one O(7)Na2Ti3 square pyramid, edges with two equivalent O(3)Na2Ti3 square pyramids, and edges with two equivalent O(6)NaTi3 trigonal pyramids. In the eighth O site, O(8) is bonded in a distorted see-saw-like geometry to one Na(2), one Ti(2), one Ti(3), and one Ti(5) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Na(1), one Ti(2), one Ti(3), and one Ti(5) atom. In the tenth O site, O(10) is bonded to one Na(4), one Ti(2), one Ti(6), and one Ti(7) atom to form distorted ONaTi3 trigonal pyramids that share  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(3)Na2Ti3 square pyramid, corners with two equivalent O(12)Na2Ti3 square pyramids, corners with two equivalent O(2)Na2Ti3 square pyramids,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid, and  an edgeedge with one O(4)Na2Ti3 square pyramid. In the eleventh O site, O(11) is bonded to two equivalent Na(3), one Ti(2), one Ti(6), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(3)Na2Ti3 square pyramid, corners with two equivalent O(13)Na2Ti3 square pyramids, corners with two equivalent O(4)Na2Ti3 square pyramids,  a cornercorner with one O(10)NaTi3 trigonal pyramid,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(2)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid, edges with two equivalent O(13)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Na(1), one Na(4), one Ti(1), one Ti(6), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(5)Na2Ti3 square pyramid,  a cornercorner with one O(6)NaTi3 trigonal pyramid, corners with two equivalent O(10)NaTi3 trigonal pyramids,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(7)Na2Ti3 square pyramid, edges with two equivalent O(2)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid. In the thirteenth O site, O(13) is bonded to two equivalent Na(3), one Ti(1), one Ti(6), and one Ti(7) atom to form ONa2Ti3 square pyramids that share  a cornercorner with one O(12)Na2Ti3 square pyramid,  a cornercorner with one O(2)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na2Ti3 square pyramid,  a cornercorner with one O(7)Na2Ti3 square pyramid, corners with two equivalent O(11)Na2Ti3 square pyramids, corners with two equivalent O(3)Na2Ti3 square pyramids,  a cornercorner with one O(6)NaTi3 trigonal pyramid,  an edgeedge with one O(12)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na2Ti3 square pyramid,  an edgeedge with one O(3)Na2Ti3 square pyramid,  an edgeedge with one O(4)Na2Ti3 square pyramid, edges with two equivalent O(11)Na2Ti3 square pyramids, and  an edgeedge with one O(10)NaTi3 trigonal pyramid.