Ti15NbO32 is beta Vanadium nitride-derived structured and crystallizes in the tetragonal P-4m2 space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 24-25°. In the second Ti site, Ti(2) is bonded to one O(1), one O(3), one O(4), one O(8), and two equivalent O(7) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-28°. In the third Ti site, Ti(3) is bonded to one O(2), one O(5), one O(6), one O(9), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-25°. In the fourth Ti site, Ti(4) is bonded to one O(4), one O(5), two equivalent O(8), and two equivalent O(9) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 24-26°. In the fifth Ti site, Ti(5) is bonded to two equivalent O(6) and four equivalent O(9) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. Nb(1) is bonded to two equivalent O(3) and four equivalent O(8) atoms to form distorted NbO6 octahedra that share corners with four equivalent Ti(4)O6 octahedra and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 26°. There are nine inequivalent O sites. In the first O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(2), one Ti(4), and one Nb(1) atom. In the second O site, O(9) is bonded in a distorted T-shaped geometry to one Ti(3), one Ti(4), and one Ti(5) atom. In the third O site, O(1) is bonded in a distorted T-shaped geometry to one Ti(2) and two equivalent Ti(1) atoms. In the fourth O site, O(2) is bonded in a distorted T-shaped geometry to one Ti(3) and two equivalent Ti(1) atoms. In the fifth O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Ti(2) and one Nb(1) atom. In the sixth O site, O(4) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(2) atoms. In the seventh O site, O(5) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(3) atoms. In the eighth O site, O(6) is bonded in a distorted T-shaped geometry to one Ti(5) and two equivalent Ti(3) atoms. In the ninth O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(1), one Ti(2), and one Ti(3) atom.
Ti15NbO32 is beta Vanadium nitride-derived structured and crystallizes in the tetragonal P-4m2 space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 24-25°. Both Ti(1)-O(1) bond lengths are 1.97 Å. Both Ti(1)-O(2) bond lengths are 1.94 Å. Both Ti(1)-O(7) bond lengths are 2.01 Å. In the second Ti site, Ti(2) is bonded to one O(1), one O(3), one O(4), one O(8), and two equivalent O(7) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Nb(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-28°. The Ti(2)-O(1) bond length is 1.95 Å. The Ti(2)-O(3) bond length is 2.00 Å. The Ti(2)-O(4) bond length is 1.93 Å. The Ti(2)-O(8) bond length is 2.06 Å. Both Ti(2)-O(7) bond lengths are 1.95 Å. In the third Ti site, Ti(3) is bonded to one O(2), one O(5), one O(6), one O(9), and two equivalent O(7) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 23-25°. The Ti(3)-O(2) bond length is 2.01 Å. The Ti(3)-O(5) bond length is 1.96 Å. The Ti(3)-O(6) bond length is 1.95 Å. The Ti(3)-O(9) bond length is 2.00 Å. Both Ti(3)-O(7) bond lengths are 1.96 Å. In the fourth Ti site, Ti(4) is bonded to one O(4), one O(5), two equivalent O(8), and two equivalent O(9) atoms to form distorted TiO6 octahedra that share corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Nb(1)O6 octahedra, edges with two equivalent Ti(2)O6 octahedra, and edges with two equivalent Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 24-26°. The Ti(4)-O(4) bond length is 2.04 Å. The Ti(4)-O(5) bond length is 1.98 Å. Both Ti(4)-O(8) bond lengths are 1.95 Å. Both Ti(4)-O(9) bond lengths are 1.95 Å. In the fifth Ti site, Ti(5) is bonded to two equivalent O(6) and four equivalent O(9) atoms to form a mixture of distorted edge and corner-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles are 24°. Both Ti(5)-O(6) bond lengths are 2.01 Å. All Ti(5)-O(9) bond lengths are 1.96 Å. Nb(1) is bonded to two equivalent O(3) and four equivalent O(8) atoms to form distorted NbO6 octahedra that share corners with four equivalent Ti(4)O6 octahedra and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles are 26°. Both Nb(1)-O(3) bond lengths are 2.03 Å. All Nb(1)-O(8) bond lengths are 1.98 Å. There are nine inequivalent O sites. In the first O site, O(8) is bonded in a distorted T-shaped geometry to one Ti(2), one Ti(4), and one Nb(1) atom. In the second O site, O(9) is bonded in a distorted T-shaped geometry to one Ti(3), one Ti(4), and one Ti(5) atom. In the third O site, O(1) is bonded in a distorted T-shaped geometry to one Ti(2) and two equivalent Ti(1) atoms. In the fourth O site, O(2) is bonded in a distorted T-shaped geometry to one Ti(3) and two equivalent Ti(1) atoms. In the fifth O site, O(3) is bonded in a distorted T-shaped geometry to two equivalent Ti(2) and one Nb(1) atom. In the sixth O site, O(4) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(2) atoms. In the seventh O site, O(5) is bonded in a distorted T-shaped geometry to one Ti(4) and two equivalent Ti(3) atoms. In the eighth O site, O(6) is bonded in a distorted T-shaped geometry to one Ti(5) and two equivalent Ti(3) atoms. In the ninth O site, O(7) is bonded in a distorted T-shaped geometry to one Ti(1), one Ti(2), and one Ti(3) atom.