Ti10O13 crystallizes in the monoclinic C2/m space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 1-14°. In the second Ti site, Ti(2) is bonded to one O(2), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-13°. In the third Ti site, Ti(3) is bonded to one O(2), one O(5), one O(6), one O(7), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(2), one O(4), one O(6), and two equivalent O(5) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. In the fifth Ti site, Ti(5) is bonded to one O(4), one O(5), one O(7), and three equivalent O(6) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Ti(4), two equivalent Ti(1), and two equivalent Ti(2) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the second O site, O(2) is bonded in a square co-planar geometry to one Ti(1), one Ti(2), one Ti(3), and one Ti(4) atom. In the third O site, O(3) is bonded to two equivalent Ti(2) and three equivalent Ti(1) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the fourth O site, O(4) is bonded in a square co-planar geometry to one Ti(4), one Ti(5), and two equivalent Ti(3) atoms. In the fifth O site, O(5) is bonded to one Ti(2), one Ti(3), one Ti(5), and two equivalent Ti(4) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the sixth O site, O(6) is bonded to one Ti(3), one Ti(4), and three equivalent Ti(5) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the seventh O site, O(7) is bonded in a square co-planar geometry to two equivalent Ti(3) and two equivalent Ti(5) atoms.
Ti10O13 crystallizes in the monoclinic C2/m space group. There are five inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(2), two equivalent O(1), and three equivalent O(3) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 1-14°. The Ti(1)-O(2) bond length is 2.01 Å. There is one shorter (2.11 Å) and one longer (2.15 Å) Ti(1)-O(1) bond length. There is one shorter (2.07 Å) and two longer (2.08 Å) Ti(1)-O(3) bond lengths. In the second Ti site, Ti(2) is bonded to one O(2), one O(5), two equivalent O(1), and two equivalent O(3) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-13°. The Ti(2)-O(2) bond length is 2.00 Å. The Ti(2)-O(5) bond length is 2.08 Å. Both Ti(2)-O(1) bond lengths are 2.08 Å. Both Ti(2)-O(3) bond lengths are 2.12 Å. In the third Ti site, Ti(3) is bonded to one O(2), one O(5), one O(6), one O(7), and two equivalent O(4) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. The Ti(3)-O(2) bond length is 2.04 Å. The Ti(3)-O(5) bond length is 2.08 Å. The Ti(3)-O(6) bond length is 2.11 Å. The Ti(3)-O(7) bond length is 2.10 Å. Both Ti(3)-O(4) bond lengths are 2.07 Å. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(2), one O(4), one O(6), and two equivalent O(5) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-9°. The Ti(4)-O(1) bond length is 2.06 Å. The Ti(4)-O(2) bond length is 2.09 Å. The Ti(4)-O(4) bond length is 2.02 Å. The Ti(4)-O(6) bond length is 2.08 Å. Both Ti(4)-O(5) bond lengths are 2.07 Å. In the fifth Ti site, Ti(5) is bonded to one O(4), one O(5), one O(7), and three equivalent O(6) atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 0-7°. The Ti(5)-O(4) bond length is 2.05 Å. The Ti(5)-O(5) bond length is 2.07 Å. The Ti(5)-O(7) bond length is 2.04 Å. All Ti(5)-O(6) bond lengths are 2.07 Å. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Ti(4), two equivalent Ti(1), and two equivalent Ti(2) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the second O site, O(2) is bonded in a square co-planar geometry to one Ti(1), one Ti(2), one Ti(3), and one Ti(4) atom. In the third O site, O(3) is bonded to two equivalent Ti(2) and three equivalent Ti(1) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the fourth O site, O(4) is bonded in a square co-planar geometry to one Ti(4), one Ti(5), and two equivalent Ti(3) atoms. In the fifth O site, O(5) is bonded to one Ti(2), one Ti(3), one Ti(5), and two equivalent Ti(4) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the sixth O site, O(6) is bonded to one Ti(3), one Ti(4), and three equivalent Ti(5) atoms to form a mixture of corner and edge-sharing OTi5 square pyramids. In the seventh O site, O(7) is bonded in a square co-planar geometry to two equivalent Ti(3) and two equivalent Ti(5) atoms.