Na8Ti5O14 crystallizes in the triclinic P-1 space group. There are nine inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(12) atoms to form NaO6 octahedra that share corners with two equivalent Na(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, edges with two equivalent Na(4)O6 octahedra, edges with two equivalent Na(5)O6 octahedra, edges with two equivalent Na(6)O6 octahedra, edges with two equivalent Na(7)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-14°. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to two equivalent O(13), two equivalent O(14), and two equivalent O(3) atoms. In the third Na site, Na(3) is bonded in a 6-coordinate geometry to one O(1), one O(14), one O(6), one O(7), and two equivalent O(2) atoms. In the fourth Na site, Na(4) is bonded to one O(10), one O(12), 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 Na(8)O6 octahedra,  a cornercorner with one Na(9)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra,  an edgeedge with one Na(9)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and edges with two equivalent Na(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-22°. In the fifth Na site, Na(5) is bonded to one O(1), one O(12), one O(6), one O(9), and two equivalent O(11) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(6)O6 octahedra,  a cornercorner with one Na(9)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Na(7)O6 octahedra,  an edgeedge with one Na(1)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 Na(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  an edgeedge with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-25°. In the sixth Na site, Na(6) is bonded to one O(1), one O(10), one O(13), one O(7), and two equivalent O(9) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Na(4)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles are 21°. In the seventh Na site, Na(7) is bonded to one O(1), one O(12), one O(13), one O(2), one O(3), and one O(5) atom to form distorted NaO6 octahedra that share corners with two equivalent Na(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with two equivalent Na(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-14°. In the eighth Na site, Na(8) is bonded to one O(12), one O(14), one O(3), one O(6), and two equivalent O(4) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with two equivalent Na(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-20°. In the ninth Na site, Na(9) is bonded to one O(2), one O(3), one O(4), one O(6), and two equivalent O(5) atoms to form a mixture of distorted corner and edge-sharing NaO6 octahedra. The corner-sharing octahedral tilt angles range from 20-22°. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(14), one O(2), one O(3), one O(5), one O(7), and one O(8) atom. In the second Ti site, Ti(2) is bonded in a 6-coordinate geometry to one O(13), one O(3), one O(4), one O(6), one O(8), and one O(9) atom. In the third Ti site, Ti(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(11), one O(5), one O(6), and one O(8) atom. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(11), one O(7), one O(9), and two equivalent O(8) atoms to form TiO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Na(6)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-22°. In the fifth Ti site, Ti(5) is bonded to one O(10), one O(11), one O(12), one O(13), one O(14), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Na(5)O6 octahedra, corners with two equivalent Na(4)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-25°. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Na(3), one Na(5), one Na(6), one Na(7), and one Ti(3) atom to form distorted ONa5Ti octahedra that share  a cornercorner with one O(3)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(5)Na4Ti2 octahedra, edges with two equivalent O(10)Na3Ti3 octahedra, edges with two equivalent O(12)Na5Ti octahedra,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na3Ti2 square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 0-14°. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Na(7), one Na(9), two equivalent Na(3), and one Ti(1) atom. In the third O site, O(3) is bonded to one Na(2), one Na(7), one Na(8), one Na(9), one Ti(1), and one Ti(2) atom to form distorted ONa4Ti2 octahedra that share  a cornercorner with one O(3)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(5)Na4Ti2 octahedra, edges with two equivalent O(13)Na3Ti2 square pyramids, edges with two equivalent O(4)Na4Ti square pyramids, and edges with two equivalent O(14)Na3Ti2 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-14°. In the fourth O site, O(4) is bonded to one Na(4), one Na(9), two equivalent Na(8), and one Ti(2) atom to form distorted ONa4Ti square pyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid, corners with two equivalent O(14)Na3Ti2 trigonal bipyramids,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(12)Na5Ti octahedra, edges with two equivalent O(3)Na4Ti2 octahedra, and  an edgeedge with one O(4)Na4Ti square pyramid. The corner-sharing octahedral tilt angles range from 6-14°. In the fifth O site, O(5) is bonded to one Na(4), one Na(7), two equivalent Na(9), one Ti(1), and one Ti(3) atom to form distorted ONa4Ti2 octahedra that share  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(3)Na4Ti2 octahedra,  an edgeedge with one O(4)Na4Ti square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. In the sixth O site, O(6) is bonded in a 6-coordinate geometry to one Na(3), one Na(5), one Na(8), one Na(9), one Ti(2), and one Ti(3) atom. In the seventh O site, O(7) is bonded to one Na(3), one Na(4), one Na(6), one Ti(1), and one Ti(4) atom to form distorted ONa3Ti2 trigonal bipyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(3)Na4Ti2 octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, and  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 10-20°. In the eighth O site, O(8) is bonded to one Ti(1), one Ti(2), one Ti(3), one Ti(5), and two equivalent Ti(4) atoms to form OTi6 octahedra that share  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(3)Na4Ti2 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(10)Na3Ti3 octahedra,  an edgeedge with one O(13)Na3Ti2 square pyramid, edges with two equivalent O(11)Na2Ti3 square pyramids,  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 3-6°. In the ninth O site, O(9) is bonded in a 6-coordinate geometry to one Na(4), one Na(5), two equivalent Na(6), one Ti(2), and one Ti(4) atom. In the tenth O site, O(10) is bonded to one Na(1), one Na(4), one Na(6), one Ti(3), one Ti(4), and one Ti(5) atom to form distorted ONa3Ti3 octahedra that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(5)Na4Ti2 octahedra, edges with two equivalent O(1)Na5Ti octahedra, edges with two equivalent O(12)Na5Ti octahedra, edges with two equivalent O(8)Ti6 octahedra,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na3Ti2 square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedra are not tilted. In the eleventh O site, O(11) is bonded to two equivalent Na(5), one Ti(3), one Ti(4), and one Ti(5) atom to form distorted ONa2Ti3 square pyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(12)Na5Ti octahedra, edges with two equivalent O(8)Ti6 octahedra, and  an edgeedge with one O(11)Na2Ti3 square pyramid. The corner-sharing octahedral tilt angles range from 8-79°. In the twelfth O site, O(12) is bonded to one Na(1), one Na(4), one Na(5), one Na(7), one Na(8), and one Ti(5) atom to form distorted ONa5Ti octahedra that share  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(3)Na4Ti2 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra, edges with two equivalent O(10)Na3Ti3 octahedra, edges with two equivalent O(1)Na5Ti octahedra,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na3Ti2 square pyramid,  an edgeedge with one O(4)Na4Ti square pyramid, and  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 0-3°. In the thirteenth O site, O(13) is bonded to one Na(2), one Na(6), one Na(7), one Ti(2), and one Ti(5) atom to form distorted ONa3Ti2 square pyramids that share  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(3)Na4Ti2 octahedra, and  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 18°. In the fourteenth O site, O(14) is bonded to one Na(2), one Na(3), one Na(8), one Ti(1), and one Ti(5) atom to form distorted ONa3Ti2 trigonal bipyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid, corners with two equivalent O(4)Na4Ti square pyramids,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(3)Na4Ti2 octahedra,  an edgeedge with one O(13)Na3Ti2 square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 19-50°.
Na8Ti5O14 crystallizes in the triclinic P-1 space group. There are nine inequivalent Na sites. In the first Na site, Na(1) is bonded to two equivalent O(1), two equivalent O(10), and two equivalent O(12) atoms to form NaO6 octahedra that share corners with two equivalent Na(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, edges with two equivalent Na(4)O6 octahedra, edges with two equivalent Na(5)O6 octahedra, edges with two equivalent Na(6)O6 octahedra, edges with two equivalent Na(7)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-14°. Both Na(1)-O(1) bond lengths are 2.36 Å. Both Na(1)-O(10) bond lengths are 2.42 Å. Both Na(1)-O(12) bond lengths are 2.30 Å. In the second Na site, Na(2) is bonded in a 6-coordinate geometry to two equivalent O(13), two equivalent O(14), and two equivalent O(3) atoms. Both Na(2)-O(13) bond lengths are 2.42 Å. Both Na(2)-O(14) bond lengths are 2.36 Å. Both Na(2)-O(3) bond lengths are 2.27 Å. In the third Na site, Na(3) is bonded in a 6-coordinate geometry to one O(1), one O(14), one O(6), one O(7), and two equivalent O(2) atoms. The Na(3)-O(1) bond length is 2.44 Å. The Na(3)-O(14) bond length is 2.29 Å. The Na(3)-O(6) bond length is 2.84 Å. The Na(3)-O(7) bond length is 2.33 Å. There is one shorter (2.26 Å) and one longer (2.81 Å) Na(3)-O(2) bond length. In the fourth Na site, Na(4) is bonded to one O(10), one O(12), 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 Na(8)O6 octahedra,  a cornercorner with one Na(9)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra,  an edgeedge with one Na(9)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and edges with two equivalent Na(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-22°. The Na(4)-O(10) bond length is 2.50 Å. The Na(4)-O(12) bond length is 2.44 Å. The Na(4)-O(4) bond length is 2.33 Å. The Na(4)-O(5) bond length is 2.35 Å. The Na(4)-O(7) bond length is 2.34 Å. The Na(4)-O(9) bond length is 2.46 Å. In the fifth Na site, Na(5) is bonded to one O(1), one O(12), one O(6), one O(9), and two equivalent O(11) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(6)O6 octahedra,  a cornercorner with one Na(9)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra, corners with two equivalent Na(7)O6 octahedra,  an edgeedge with one Na(1)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 Na(8)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  an edgeedge with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-25°. The Na(5)-O(1) bond length is 2.41 Å. The Na(5)-O(12) bond length is 2.28 Å. The Na(5)-O(6) bond length is 2.38 Å. The Na(5)-O(9) bond length is 2.33 Å. There is one shorter (2.33 Å) and one longer (2.39 Å) Na(5)-O(11) bond length. In the sixth Na site, Na(6) is bonded to one O(1), one O(10), one O(13), one O(7), and two equivalent O(9) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, edges with two equivalent Na(4)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles are 21°. The Na(6)-O(1) bond length is 2.39 Å. The Na(6)-O(10) bond length is 2.58 Å. The Na(6)-O(13) bond length is 2.30 Å. The Na(6)-O(7) bond length is 2.36 Å. There is one shorter (2.36 Å) and one longer (2.58 Å) Na(6)-O(9) bond length. In the seventh Na site, Na(7) is bonded to one O(1), one O(12), one O(13), one O(2), one O(3), and one O(5) atom to form distorted NaO6 octahedra that share corners with two equivalent Na(5)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with two equivalent Na(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-14°. The Na(7)-O(1) bond length is 2.35 Å. The Na(7)-O(12) bond length is 2.30 Å. The Na(7)-O(13) bond length is 2.43 Å. The Na(7)-O(2) bond length is 2.25 Å. The Na(7)-O(3) bond length is 2.56 Å. The Na(7)-O(5) bond length is 2.51 Å. In the eighth Na site, Na(8) is bonded to one O(12), one O(14), one O(3), one O(6), and two equivalent O(4) atoms to form distorted NaO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra, and edges with two equivalent Na(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-20°. The Na(8)-O(12) bond length is 2.38 Å. The Na(8)-O(14) bond length is 2.38 Å. The Na(8)-O(3) bond length is 2.57 Å. The Na(8)-O(6) bond length is 2.40 Å. Both Na(8)-O(4) bond lengths are 2.34 Å. In the ninth Na site, Na(9) is bonded to one O(2), one O(3), one O(4), one O(6), and two equivalent O(5) atoms to form a mixture of distorted corner and edge-sharing NaO6 octahedra. The corner-sharing octahedral tilt angles range from 20-22°. The Na(9)-O(2) bond length is 2.24 Å. The Na(9)-O(3) bond length is 2.27 Å. The Na(9)-O(4) bond length is 2.40 Å. The Na(9)-O(6) bond length is 2.42 Å. There is one shorter (2.48 Å) and one longer (2.54 Å) Na(9)-O(5) bond length. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded in a 6-coordinate geometry to one O(14), one O(2), one O(3), one O(5), one O(7), and one O(8) atom. The Ti(1)-O(14) bond length is 1.98 Å. The Ti(1)-O(2) bond length is 1.74 Å. The Ti(1)-O(3) bond length is 1.97 Å. The Ti(1)-O(5) bond length is 1.99 Å. The Ti(1)-O(7) bond length is 2.07 Å. The Ti(1)-O(8) bond length is 2.33 Å. In the second Ti site, Ti(2) is bonded in a 6-coordinate geometry to one O(13), one O(3), one O(4), one O(6), one O(8), and one O(9) atom. The Ti(2)-O(13) bond length is 1.96 Å. The Ti(2)-O(3) bond length is 1.96 Å. The Ti(2)-O(4) bond length is 1.76 Å. The Ti(2)-O(6) bond length is 2.01 Å. The Ti(2)-O(8) bond length is 2.37 Å. The Ti(2)-O(9) bond length is 2.10 Å. In the third Ti site, Ti(3) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(11), one O(5), one O(6), and one O(8) atom. The Ti(3)-O(1) bond length is 1.79 Å. The Ti(3)-O(10) bond length is 2.13 Å. The Ti(3)-O(11) bond length is 2.06 Å. The Ti(3)-O(5) bond length is 1.92 Å. The Ti(3)-O(6) bond length is 1.90 Å. The Ti(3)-O(8) bond length is 2.32 Å. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(11), one O(7), one O(9), and two equivalent O(8) atoms to form TiO6 octahedra that share  a cornercorner with one Na(1)O6 octahedra,  a cornercorner with one Na(4)O6 octahedra,  a cornercorner with one Na(5)O6 octahedra,  an edgeedge with one Na(4)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, edges with two equivalent Na(6)O6 octahedra, and edges with two equivalent Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-22°. The Ti(4)-O(10) bond length is 1.99 Å. The Ti(4)-O(11) bond length is 2.01 Å. The Ti(4)-O(7) bond length is 1.82 Å. The Ti(4)-O(9) bond length is 1.86 Å. There is one shorter (2.14 Å) and one longer (2.15 Å) Ti(4)-O(8) bond length. In the fifth Ti site, Ti(5) is bonded to one O(10), one O(11), one O(12), one O(13), one O(14), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Na(5)O6 octahedra, corners with two equivalent Na(4)O6 octahedra,  an edgeedge with one Na(1)O6 octahedra,  an edgeedge with one Na(5)O6 octahedra,  an edgeedge with one Na(6)O6 octahedra,  an edgeedge with one Na(7)O6 octahedra,  an edgeedge with one Na(8)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 1-25°. The Ti(5)-O(10) bond length is 2.11 Å. The Ti(5)-O(11) bond length is 2.06 Å. The Ti(5)-O(12) bond length is 1.80 Å. The Ti(5)-O(13) bond length is 1.91 Å. The Ti(5)-O(14) bond length is 1.88 Å. The Ti(5)-O(8) bond length is 2.28 Å. There are fourteen inequivalent O sites. In the first O site, O(1) is bonded to one Na(1), one Na(3), one Na(5), one Na(6), one Na(7), and one Ti(3) atom to form distorted ONa5Ti octahedra that share  a cornercorner with one O(3)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(5)Na4Ti2 octahedra, edges with two equivalent O(10)Na3Ti3 octahedra, edges with two equivalent O(12)Na5Ti octahedra,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na3Ti2 square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 0-14°. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Na(7), one Na(9), two equivalent Na(3), and one Ti(1) atom. In the third O site, O(3) is bonded to one Na(2), one Na(7), one Na(8), one Na(9), one Ti(1), and one Ti(2) atom to form distorted ONa4Ti2 octahedra that share  a cornercorner with one O(3)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(5)Na4Ti2 octahedra, edges with two equivalent O(13)Na3Ti2 square pyramids, edges with two equivalent O(4)Na4Ti square pyramids, and edges with two equivalent O(14)Na3Ti2 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 0-14°. In the fourth O site, O(4) is bonded to one Na(4), one Na(9), two equivalent Na(8), and one Ti(2) atom to form distorted ONa4Ti square pyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid, corners with two equivalent O(14)Na3Ti2 trigonal bipyramids,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(12)Na5Ti octahedra, edges with two equivalent O(3)Na4Ti2 octahedra, and  an edgeedge with one O(4)Na4Ti square pyramid. The corner-sharing octahedral tilt angles range from 6-14°. In the fifth O site, O(5) is bonded to one Na(4), one Na(7), two equivalent Na(9), one Ti(1), and one Ti(3) atom to form distorted ONa4Ti2 octahedra that share  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(3)Na4Ti2 octahedra,  an edgeedge with one O(4)Na4Ti square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. In the sixth O site, O(6) is bonded in a 6-coordinate geometry to one Na(3), one Na(5), one Na(8), one Na(9), one Ti(2), and one Ti(3) atom. In the seventh O site, O(7) is bonded to one Na(3), one Na(4), one Na(6), one Ti(1), and one Ti(4) atom to form distorted ONa3Ti2 trigonal bipyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(3)Na4Ti2 octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, and  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 10-20°. In the eighth O site, O(8) is bonded to one Ti(1), one Ti(2), one Ti(3), one Ti(5), and two equivalent Ti(4) atoms to form OTi6 octahedra that share  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(3)Na4Ti2 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(10)Na3Ti3 octahedra,  an edgeedge with one O(13)Na3Ti2 square pyramid, edges with two equivalent O(11)Na2Ti3 square pyramids,  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 3-6°. In the ninth O site, O(9) is bonded in a 6-coordinate geometry to one Na(4), one Na(5), two equivalent Na(6), one Ti(2), and one Ti(4) atom. In the tenth O site, O(10) is bonded to one Na(1), one Na(4), one Na(6), one Ti(3), one Ti(4), and one Ti(5) atom to form distorted ONa3Ti3 octahedra that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(5)Na4Ti2 octahedra, edges with two equivalent O(1)Na5Ti octahedra, edges with two equivalent O(12)Na5Ti octahedra, edges with two equivalent O(8)Ti6 octahedra,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na3Ti2 square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedra are not tilted. In the eleventh O site, O(11) is bonded to two equivalent Na(5), one Ti(3), one Ti(4), and one Ti(5) atom to form distorted ONa2Ti3 square pyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(12)Na5Ti octahedra, edges with two equivalent O(8)Ti6 octahedra, and  an edgeedge with one O(11)Na2Ti3 square pyramid. The corner-sharing octahedral tilt angles range from 8-79°. In the twelfth O site, O(12) is bonded to one Na(1), one Na(4), one Na(5), one Na(7), one Na(8), and one Ti(5) atom to form distorted ONa5Ti octahedra that share  a cornercorner with one O(12)Na5Ti octahedra,  a cornercorner with one O(8)Ti6 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(3)Na4Ti2 octahedra,  an edgeedge with one O(5)Na4Ti2 octahedra, edges with two equivalent O(10)Na3Ti3 octahedra, edges with two equivalent O(1)Na5Ti octahedra,  an edgeedge with one O(11)Na2Ti3 square pyramid,  an edgeedge with one O(13)Na3Ti2 square pyramid,  an edgeedge with one O(4)Na4Ti square pyramid, and  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 0-3°. In the thirteenth O site, O(13) is bonded to one Na(2), one Na(6), one Na(7), one Ti(2), and one Ti(5) atom to form distorted ONa3Ti2 square pyramids that share  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid,  a cornercorner with one O(4)Na4Ti square pyramid,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  a cornercorner with one O(7)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(10)Na3Ti3 octahedra,  an edgeedge with one O(1)Na5Ti octahedra,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(3)Na4Ti2 octahedra, and  an edgeedge with one O(14)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 18°. In the fourteenth O site, O(14) is bonded to one Na(2), one Na(3), one Na(8), one Ti(1), and one Ti(5) atom to form distorted ONa3Ti2 trigonal bipyramids that share  a cornercorner with one O(10)Na3Ti3 octahedra,  a cornercorner with one O(5)Na4Ti2 octahedra,  a cornercorner with one O(1)Na5Ti octahedra,  a cornercorner with one O(11)Na2Ti3 square pyramid,  a cornercorner with one O(13)Na3Ti2 square pyramid, corners with two equivalent O(4)Na4Ti square pyramids,  a cornercorner with one O(14)Na3Ti2 trigonal bipyramid,  an edgeedge with one O(12)Na5Ti octahedra,  an edgeedge with one O(8)Ti6 octahedra, edges with two equivalent O(3)Na4Ti2 octahedra,  an edgeedge with one O(13)Na3Ti2 square pyramid, and  an edgeedge with one O(7)Na3Ti2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 19-50°.