Na5Ti16O32 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent Na sites. In the first Na site, Na(1) is bonded in a distorted rectangular see-saw-like geometry to one O(25), one O(5), one O(7), and one O(8) atom. In the second Na site, Na(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(12), one O(24), and one O(9) atom. In the third Na site, Na(3) is bonded in a rectangular see-saw-like geometry to one O(10), one O(22), one O(23), and one O(24) atom. In the fourth Na site, Na(4) is bonded in a rectangular see-saw-like geometry to one O(25), one O(26), one O(27), and one O(7) atom. In the fifth Na site, Na(5) is bonded in a rectangular see-saw-like geometry to one O(25), one O(26), one O(28), and one O(8) atom. There are sixteen inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(27), one O(3), one O(31), one O(32), and one O(4) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-53°. In the second Ti site, Ti(2) is bonded to one O(2), one O(28), one O(3), one O(31), one O(32), and one O(4) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-51°. In the third Ti site, Ti(3) is bonded to one O(11), one O(12), one O(15), one O(3), one O(7), and one O(8) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 20-53°. In the fourth Ti site, Ti(4) is bonded to one O(11), one O(12), one O(16), one O(4), one O(7), and one O(8) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 27-52°. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(10), one O(13), one O(5), one O(6), and one O(9) atom to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-52°. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(14), one O(2), one O(5), one O(6), and one O(9) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-53°. In the seventh Ti site, Ti(7) is bonded to one O(13), one O(14), one O(16), one O(17), one O(18), and one O(22) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 27-53°. In the eighth Ti site, Ti(8) is bonded to one O(13), one O(14), one O(15), one O(17), one O(18), and one O(21) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 20-52°. In the ninth Ti site, Ti(9) is bonded to one O(11), one O(15), one O(16), one O(17), one O(19), and one O(20) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 22-54°. In the tenth Ti site, Ti(10) is bonded to one O(12), one O(15), one O(16), one O(18), one O(19), and one O(20) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-53°. In the eleventh Ti site, Ti(11) is bonded to one O(19), one O(23), one O(24), one O(27), one O(28), and one O(32) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-54°. In the twelfth Ti site, Ti(12) is bonded to one O(20), one O(23), one O(24), one O(27), one O(28), and one O(31) atom to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-52°. In the thirteenth Ti site, Ti(13) is bonded to one O(17), one O(21), one O(22), one O(25), one O(26), and one O(29) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 22-52°. In the fourteenth Ti site, Ti(14) is bonded to one O(18), one O(21), one O(22), one O(25), one O(26), and one O(30) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-52°. In the fifteenth Ti site, Ti(15) is bonded to one O(1), one O(2), one O(29), one O(30), one O(31), and one O(5) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-52°. In the sixteenth Ti site, Ti(16) is bonded to one O(1), one O(2), one O(29), one O(30), one O(32), and one O(6) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-51°. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(15), one Ti(16), and one Ti(5) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Ti(15), one Ti(16), one Ti(2), and one Ti(6) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Ti(1), one Ti(2), and one Ti(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ti(1), one Ti(2), and one Ti(4) atom. In the fifth O site, O(5) is bonded to one Na(1), one Ti(15), one Ti(5), and one Ti(6) atom to form distorted corner-sharing ONaTi3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(16), one Ti(5), and one Ti(6) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Na(1), one Na(4), one Ti(3), and one Ti(4) atom. In the eighth O site, O(8) is bonded in a distorted see-saw-like geometry to one Na(1), one Na(5), one Ti(3), and one Ti(4) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Na(2), one Ti(5), and one Ti(6) atom. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Na(2), one Na(3), one Ti(5), and one Ti(6) atom. In the eleventh O site, O(11) is bonded in a trigonal non-coplanar geometry to one Ti(3), one Ti(4), and one Ti(9) atom. In the twelfth O site, O(12) is bonded in a distorted tetrahedral geometry to one Na(2), one Ti(10), one Ti(3), and one Ti(4) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Ti(5), one Ti(7), and one Ti(8) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Ti(6), one Ti(7), and one Ti(8) atom. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Ti(10), one Ti(3), one Ti(8), and one Ti(9) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Ti(10), one Ti(4), one Ti(7), and one Ti(9) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Ti(13), one Ti(7), one Ti(8), and one Ti(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Ti(10), one Ti(14), one Ti(7), and one Ti(8) atom. In the nineteenth O site, O(19) is bonded in a trigonal planar geometry to one Ti(10), one Ti(11), and one Ti(9) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Ti(10), one Ti(12), and one Ti(9) atom. In the twenty-first O site, O(21) is bonded in a trigonal non-coplanar geometry to one Ti(13), one Ti(14), and one Ti(8) atom. In the twenty-second O site, O(22) is bonded in a tetrahedral geometry to one Na(3), one Ti(13), one Ti(14), and one Ti(7) atom. In the twenty-third O site, O(23) is bonded in a distorted T-shaped geometry to one Na(3), one Ti(11), and one Ti(12) atom. In the twenty-fourth O site, O(24) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Ti(11), and one Ti(12) atom. In the twenty-fifth O site, O(25) is bonded in a 5-coordinate geometry to one Na(1), one Na(4), one Na(5), one Ti(13), and one Ti(14) atom. In the twenty-sixth O site, O(26) is bonded in a distorted rectangular see-saw-like geometry to one Na(4), one Na(5), one Ti(13), and one Ti(14) atom. In the twenty-seventh O site, O(27) is bonded to one Na(4), one Ti(1), one Ti(11), and one Ti(12) atom to form distorted ONaTi3 tetrahedra that share corners with two equivalent O(28)NaTi3 tetrahedra and  an edgeedge with one O(31)Ti4 trigonal pyramid. In the twenty-eighth O site, O(28) is bonded to one Na(5), one Ti(11), one Ti(12), and one Ti(2) atom to form distorted ONaTi3 tetrahedra that share corners with two equivalent O(27)NaTi3 tetrahedra and  an edgeedge with one O(31)Ti4 trigonal pyramid. In the twenty-ninth O site, O(29) is bonded in a distorted trigonal planar geometry to one Ti(13), one Ti(15), and one Ti(16) atom. In the thirtieth O site, O(30) is bonded in a distorted trigonal planar geometry to one Ti(14), one Ti(15), and one Ti(16) atom. In the thirty-first O site, O(31) is bonded to one Ti(1), one Ti(12), one Ti(15), and one Ti(2) atom to form a mixture of corner and edge-sharing OTi4 trigonal pyramids. In the thirty-second O site, O(32) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(11), one Ti(16), and one Ti(2) atom.
Na5Ti16O32 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. There are five inequivalent Na sites. In the first Na site, Na(1) is bonded in a distorted rectangular see-saw-like geometry to one O(25), one O(5), one O(7), and one O(8) atom. The Na(1)-O(25) bond length is 2.49 Å. The Na(1)-O(5) bond length is 2.19 Å. The Na(1)-O(7) bond length is 2.45 Å. The Na(1)-O(8) bond length is 2.46 Å. In the second Na site, Na(2) is bonded in a rectangular see-saw-like geometry to one O(10), one O(12), one O(24), and one O(9) atom. The Na(2)-O(10) bond length is 2.48 Å. The Na(2)-O(12) bond length is 2.25 Å. The Na(2)-O(24) bond length is 2.40 Å. The Na(2)-O(9) bond length is 2.38 Å. In the third Na site, Na(3) is bonded in a rectangular see-saw-like geometry to one O(10), one O(22), one O(23), and one O(24) atom. The Na(3)-O(10) bond length is 2.38 Å. The Na(3)-O(22) bond length is 2.24 Å. The Na(3)-O(23) bond length is 2.39 Å. The Na(3)-O(24) bond length is 2.50 Å. In the fourth Na site, Na(4) is bonded in a rectangular see-saw-like geometry to one O(25), one O(26), one O(27), and one O(7) atom. The Na(4)-O(25) bond length is 2.41 Å. The Na(4)-O(26) bond length is 2.37 Å. The Na(4)-O(27) bond length is 2.23 Å. The Na(4)-O(7) bond length is 2.36 Å. In the fifth Na site, Na(5) is bonded in a rectangular see-saw-like geometry to one O(25), one O(26), one O(28), and one O(8) atom. The Na(5)-O(25) bond length is 2.42 Å. The Na(5)-O(26) bond length is 2.37 Å. The Na(5)-O(28) bond length is 2.24 Å. The Na(5)-O(8) bond length is 2.37 Å. There are sixteen inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(27), one O(3), one O(31), one O(32), and one O(4) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-53°. The Ti(1)-O(1) bond length is 2.01 Å. The Ti(1)-O(27) bond length is 1.93 Å. The Ti(1)-O(3) bond length is 1.99 Å. The Ti(1)-O(31) bond length is 2.12 Å. The Ti(1)-O(32) bond length is 2.09 Å. The Ti(1)-O(4) bond length is 1.97 Å. In the second Ti site, Ti(2) is bonded to one O(2), one O(28), one O(3), one O(31), one O(32), and one O(4) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-51°. The Ti(2)-O(2) bond length is 2.00 Å. The Ti(2)-O(28) bond length is 1.93 Å. The Ti(2)-O(3) bond length is 1.99 Å. The Ti(2)-O(31) bond length is 2.10 Å. The Ti(2)-O(32) bond length is 2.07 Å. The Ti(2)-O(4) bond length is 1.98 Å. In the third Ti site, Ti(3) is bonded to one O(11), one O(12), one O(15), one O(3), one O(7), and one O(8) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 20-53°. The Ti(3)-O(11) bond length is 2.00 Å. The Ti(3)-O(12) bond length is 2.03 Å. The Ti(3)-O(15) bond length is 2.15 Å. The Ti(3)-O(3) bond length is 1.94 Å. The Ti(3)-O(7) bond length is 1.95 Å. The Ti(3)-O(8) bond length is 1.95 Å. In the fourth Ti site, Ti(4) is bonded to one O(11), one O(12), one O(16), one O(4), one O(7), and one O(8) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 27-52°. The Ti(4)-O(11) bond length is 2.10 Å. The Ti(4)-O(12) bond length is 2.12 Å. The Ti(4)-O(16) bond length is 2.09 Å. The Ti(4)-O(4) bond length is 2.01 Å. The Ti(4)-O(7) bond length is 1.90 Å. The Ti(4)-O(8) bond length is 1.90 Å. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(10), one O(13), one O(5), one O(6), and one O(9) atom to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-52°. The Ti(5)-O(1) bond length is 2.07 Å. The Ti(5)-O(10) bond length is 1.89 Å. The Ti(5)-O(13) bond length is 2.00 Å. The Ti(5)-O(5) bond length is 2.14 Å. The Ti(5)-O(6) bond length is 2.12 Å. The Ti(5)-O(9) bond length is 1.85 Å. In the sixth Ti site, Ti(6) is bonded to one O(10), one O(14), one O(2), one O(5), one O(6), and one O(9) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-53°. The Ti(6)-O(10) bond length is 1.94 Å. The Ti(6)-O(14) bond length is 1.93 Å. The Ti(6)-O(2) bond length is 2.14 Å. The Ti(6)-O(5) bond length is 2.03 Å. The Ti(6)-O(6) bond length is 2.01 Å. The Ti(6)-O(9) bond length is 1.92 Å. In the seventh Ti site, Ti(7) is bonded to one O(13), one O(14), one O(16), one O(17), one O(18), and one O(22) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 27-53°. The Ti(7)-O(13) bond length is 1.98 Å. The Ti(7)-O(14) bond length is 2.00 Å. The Ti(7)-O(16) bond length is 2.00 Å. The Ti(7)-O(17) bond length is 2.08 Å. The Ti(7)-O(18) bond length is 2.12 Å. The Ti(7)-O(22) bond length is 1.95 Å. In the eighth Ti site, Ti(8) is bonded to one O(13), one O(14), one O(15), one O(17), one O(18), and one O(21) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 20-52°. The Ti(8)-O(13) bond length is 1.97 Å. The Ti(8)-O(14) bond length is 1.99 Å. The Ti(8)-O(15) bond length is 2.02 Å. The Ti(8)-O(17) bond length is 2.06 Å. The Ti(8)-O(18) bond length is 2.10 Å. The Ti(8)-O(21) bond length is 1.92 Å. In the ninth Ti site, Ti(9) is bonded to one O(11), one O(15), one O(16), one O(17), one O(19), and one O(20) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 22-54°. The Ti(9)-O(11) bond length is 1.90 Å. The Ti(9)-O(15) bond length is 2.08 Å. The Ti(9)-O(16) bond length is 2.11 Å. The Ti(9)-O(17) bond length is 2.03 Å. The Ti(9)-O(19) bond length is 2.00 Å. The Ti(9)-O(20) bond length is 1.98 Å. In the tenth Ti site, Ti(10) is bonded to one O(12), one O(15), one O(16), one O(18), one O(19), and one O(20) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-53°. The Ti(10)-O(12) bond length is 1.93 Å. The Ti(10)-O(15) bond length is 2.08 Å. The Ti(10)-O(16) bond length is 2.10 Å. The Ti(10)-O(18) bond length is 2.00 Å. The Ti(10)-O(19) bond length is 2.01 Å. The Ti(10)-O(20) bond length is 1.99 Å. In the eleventh Ti site, Ti(11) is bonded to one O(19), one O(23), one O(24), one O(27), one O(28), and one O(32) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-54°. The Ti(11)-O(19) bond length is 1.95 Å. The Ti(11)-O(23) bond length is 1.90 Å. The Ti(11)-O(24) bond length is 1.93 Å. The Ti(11)-O(27) bond length is 2.05 Å. The Ti(11)-O(28) bond length is 2.04 Å. The Ti(11)-O(32) bond length is 2.10 Å. In the twelfth Ti site, Ti(12) is bonded to one O(20), one O(23), one O(24), one O(27), one O(28), and one O(31) atom to form a mixture of distorted corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-52°. The Ti(12)-O(20) bond length is 2.00 Å. The Ti(12)-O(23) bond length is 1.86 Å. The Ti(12)-O(24) bond length is 1.89 Å. The Ti(12)-O(27) bond length is 2.14 Å. The Ti(12)-O(28) bond length is 2.14 Å. The Ti(12)-O(31) bond length is 2.05 Å. In the thirteenth Ti site, Ti(13) is bonded to one O(17), one O(21), one O(22), one O(25), one O(26), and one O(29) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 22-52°. The Ti(13)-O(17) bond length is 2.13 Å. The Ti(13)-O(21) bond length is 2.03 Å. The Ti(13)-O(22) bond length is 2.06 Å. The Ti(13)-O(25) bond length is 1.96 Å. The Ti(13)-O(26) bond length is 1.92 Å. The Ti(13)-O(29) bond length is 1.96 Å. In the fourteenth Ti site, Ti(14) is bonded to one O(18), one O(21), one O(22), one O(25), one O(26), and one O(30) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-52°. The Ti(14)-O(18) bond length is 2.13 Å. The Ti(14)-O(21) bond length is 2.02 Å. The Ti(14)-O(22) bond length is 2.05 Å. The Ti(14)-O(25) bond length is 1.96 Å. The Ti(14)-O(26) bond length is 1.93 Å. The Ti(14)-O(30) bond length is 1.96 Å. In the fifteenth Ti site, Ti(15) is bonded to one O(1), one O(2), one O(29), one O(30), one O(31), and one O(5) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 29-52°. The Ti(15)-O(1) bond length is 2.10 Å. The Ti(15)-O(2) bond length is 2.10 Å. The Ti(15)-O(29) bond length is 1.99 Å. The Ti(15)-O(30) bond length is 1.99 Å. The Ti(15)-O(31) bond length is 2.02 Å. The Ti(15)-O(5) bond length is 1.92 Å. In the sixteenth Ti site, Ti(16) is bonded to one O(1), one O(2), one O(29), one O(30), one O(32), and one O(6) atom to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-51°. The Ti(16)-O(1) bond length is 2.08 Å. The Ti(16)-O(2) bond length is 2.08 Å. The Ti(16)-O(29) bond length is 1.99 Å. The Ti(16)-O(30) bond length is 1.99 Å. The Ti(16)-O(32) bond length is 2.05 Å. The Ti(16)-O(6) bond length is 1.89 Å. There are thirty-two inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(15), one Ti(16), and one Ti(5) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Ti(15), one Ti(16), one Ti(2), and one Ti(6) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Ti(1), one Ti(2), and one Ti(3) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Ti(1), one Ti(2), and one Ti(4) atom. In the fifth O site, O(5) is bonded to one Na(1), one Ti(15), one Ti(5), and one Ti(6) atom to form distorted corner-sharing ONaTi3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal non-coplanar geometry to one Ti(16), one Ti(5), and one Ti(6) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Na(1), one Na(4), one Ti(3), and one Ti(4) atom. In the eighth O site, O(8) is bonded in a distorted see-saw-like geometry to one Na(1), one Na(5), one Ti(3), and one Ti(4) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Na(2), one Ti(5), and one Ti(6) atom. In the tenth O site, O(10) is bonded in a distorted see-saw-like geometry to one Na(2), one Na(3), one Ti(5), and one Ti(6) atom. In the eleventh O site, O(11) is bonded in a trigonal non-coplanar geometry to one Ti(3), one Ti(4), and one Ti(9) atom. In the twelfth O site, O(12) is bonded in a distorted tetrahedral geometry to one Na(2), one Ti(10), one Ti(3), and one Ti(4) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one Ti(5), one Ti(7), and one Ti(8) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one Ti(6), one Ti(7), and one Ti(8) atom. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Ti(10), one Ti(3), one Ti(8), and one Ti(9) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Ti(10), one Ti(4), one Ti(7), and one Ti(9) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Ti(13), one Ti(7), one Ti(8), and one Ti(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Ti(10), one Ti(14), one Ti(7), and one Ti(8) atom. In the nineteenth O site, O(19) is bonded in a trigonal planar geometry to one Ti(10), one Ti(11), and one Ti(9) atom. In the twentieth O site, O(20) is bonded in a distorted trigonal planar geometry to one Ti(10), one Ti(12), and one Ti(9) atom. In the twenty-first O site, O(21) is bonded in a trigonal non-coplanar geometry to one Ti(13), one Ti(14), and one Ti(8) atom. In the twenty-second O site, O(22) is bonded in a tetrahedral geometry to one Na(3), one Ti(13), one Ti(14), and one Ti(7) atom. In the twenty-third O site, O(23) is bonded in a distorted T-shaped geometry to one Na(3), one Ti(11), and one Ti(12) atom. In the twenty-fourth O site, O(24) is bonded in a 4-coordinate geometry to one Na(2), one Na(3), one Ti(11), and one Ti(12) atom. In the twenty-fifth O site, O(25) is bonded in a 5-coordinate geometry to one Na(1), one Na(4), one Na(5), one Ti(13), and one Ti(14) atom. In the twenty-sixth O site, O(26) is bonded in a distorted rectangular see-saw-like geometry to one Na(4), one Na(5), one Ti(13), and one Ti(14) atom. In the twenty-seventh O site, O(27) is bonded to one Na(4), one Ti(1), one Ti(11), and one Ti(12) atom to form distorted ONaTi3 tetrahedra that share corners with two equivalent O(28)NaTi3 tetrahedra and  an edgeedge with one O(31)Ti4 trigonal pyramid. In the twenty-eighth O site, O(28) is bonded to one Na(5), one Ti(11), one Ti(12), and one Ti(2) atom to form distorted ONaTi3 tetrahedra that share corners with two equivalent O(27)NaTi3 tetrahedra and  an edgeedge with one O(31)Ti4 trigonal pyramid. In the twenty-ninth O site, O(29) is bonded in a distorted trigonal planar geometry to one Ti(13), one Ti(15), and one Ti(16) atom. In the thirtieth O site, O(30) is bonded in a distorted trigonal planar geometry to one Ti(14), one Ti(15), and one Ti(16) atom. In the thirty-first O site, O(31) is bonded to one Ti(1), one Ti(12), one Ti(15), and one Ti(2) atom to form a mixture of corner and edge-sharing OTi4 trigonal pyramids. In the thirty-second O site, O(32) is bonded in a rectangular see-saw-like geometry to one Ti(1), one Ti(11), one Ti(16), and one Ti(2) atom.