Ti15VO24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. There are fifteen inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(2), one O(21), one O(23), one O(5), and one O(6) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(2), one O(21), one O(5), and one O(7) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. In the third Ti site, Ti(3) is bonded to one O(1), one O(22), one O(24), one O(3), one O(4), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(15)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Ti(13)O6 octahedra,  an edgeedge with one Ti(14)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. In the fourth Ti site, Ti(4) is bonded to one O(11), one O(14), one O(3), one O(7), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(9)O6 octahedra,  an edgeedge with one Ti(11)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. In the fifth Ti site, Ti(5) is bonded to one O(12), one O(14), one O(3), one O(5), one O(7), and one O(8) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-56°. In the sixth Ti site, Ti(6) is bonded to one O(17), one O(24), one O(3), one O(4), one O(6), and one O(8) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. In the seventh Ti site, Ti(7) is bonded to one O(10), one O(11), one O(13), one O(17), one O(2), and one O(4) atom to form TiO6 octahedra that share  a cornercorner with one Ti(12)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(11)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and  a faceface with one Ti(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. In the eighth Ti site, Ti(8) is bonded to one O(12), one O(13), one O(16), one O(20), one O(7), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(15)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Ti(12)O6 octahedra,  an edgeedge with one Ti(14)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one Ti(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. In the ninth Ti site, Ti(9) is bonded to one O(12), one O(14), one O(16), one O(20), one O(23), and one O(9) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. In the tenth Ti site, Ti(10) is bonded to one O(1), one O(15), one O(19), one O(21), one O(23), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(13)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(11)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(9)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and  a faceface with one Ti(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. In the eleventh Ti site, Ti(11) is bonded to one O(11), one O(14), one O(15), one O(17), one O(18), and one O(19) atom to form TiO6 octahedra that share  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(10)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra,  an edgeedge with one Ti(12)O6 octahedra,  an edgeedge with one Ti(13)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. In the twelfth Ti site, Ti(12) is bonded to one O(10), one O(12), one O(13), one O(17), one O(18), and one O(2) atom to form TiO6 octahedra that share  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(11)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. In the thirteenth Ti site, Ti(13) is bonded to one O(1), one O(15), one O(19), one O(23), one O(24), and one O(5) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(11)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  a faceface with one Ti(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. In the fourteenth Ti site, Ti(14) is bonded to one O(16), one O(20), one O(21), one O(22), one O(4), and one O(6) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-56°. In the fifteenth Ti site, Ti(15) is bonded to one O(16), one O(18), one O(20), one O(22), one O(24), and one O(6) atom to form TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(11)O6 octahedra,  a cornercorner with one Ti(12)O6 octahedra,  a cornercorner with one Ti(13)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(9)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and  a faceface with one Ti(14)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. V(1) is bonded to one O(11), one O(13), one O(15), one O(18), one O(19), and one O(22) atom to form VO6 octahedra that share  a cornercorner with one Ti(11)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(12)O6 octahedra, corners with two equivalent Ti(13)O6 octahedra,  an edgeedge with one Ti(10)O6 octahedra,  an edgeedge with one Ti(15)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, and  a faceface with one Ti(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ti(10), one Ti(13), one Ti(2), and one Ti(3) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(19)Ti3V trigonal pyramids, corners with two equivalent O(5)Ti4 trigonal pyramids,  an edgeedge with one O(15)Ti3V trigonal pyramid,  an edgeedge with one O(21)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and  an edgeedge with one O(24)Ti4 trigonal pyramid. In the second O site, O(2) is bonded to one Ti(1), one Ti(12), one Ti(2), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(21)Ti4 trigonal pyramids, corners with two equivalent O(5)Ti4 trigonal pyramids,  an edgeedge with one O(17)Ti4 trigonal pyramid, and edges with two equivalent O(10)Ti4 trigonal pyramids. In the third O site, O(3) is bonded to one Ti(3), one Ti(4), one Ti(5), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(14)Ti4 trigonal pyramids, corners with two equivalent O(7)Ti4 trigonal pyramids,  an edgeedge with one O(24)Ti4 trigonal pyramid,  an edgeedge with one O(4)Ti4 trigonal pyramid, and edges with two equivalent O(8)Ti4 trigonal pyramids. In the fourth O site, O(4) is bonded to one Ti(14), one Ti(3), one Ti(6), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid, corners with two equivalent O(6)Ti4 trigonal pyramids, corners with two equivalent O(8)Ti4 trigonal pyramids,  an edgeedge with one O(22)Ti3V trigonal pyramid,  an edgeedge with one O(17)Ti4 trigonal pyramid,  an edgeedge with one O(24)Ti4 trigonal pyramid, and  an edgeedge with one O(3)Ti4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ti(1), one Ti(13), one Ti(2), and one Ti(5) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(1)Ti4 trigonal pyramids, corners with two equivalent O(2)Ti4 trigonal pyramids,  an edgeedge with one O(10)Ti4 trigonal pyramid,  an edgeedge with one O(21)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and  an edgeedge with one O(7)Ti4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ti(1), one Ti(14), one Ti(15), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(20)Ti4 trigonal pyramids, corners with two equivalent O(4)Ti4 trigonal pyramids,  an edgeedge with one O(22)Ti3V trigonal pyramid,  an edgeedge with one O(16)Ti4 trigonal pyramid,  an edgeedge with one O(21)Ti4 trigonal pyramid, and  an edgeedge with one O(24)Ti4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Ti(2), one Ti(4), one Ti(5), and one Ti(8) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid, corners with two equivalent O(12)Ti4 trigonal pyramids, corners with two equivalent O(3)Ti4 trigonal pyramids,  an edgeedge with one O(14)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid,  an edgeedge with one O(8)Ti4 trigonal pyramid, and  an edgeedge with one O(9)Ti4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Ti(3), one Ti(4), one Ti(5), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(24)Ti4 trigonal pyramids, corners with two equivalent O(4)Ti4 trigonal pyramids,  an edgeedge with one O(14)Ti4 trigonal pyramid,  an edgeedge with one O(7)Ti4 trigonal pyramid, and edges with two equivalent O(3)Ti4 trigonal pyramids. In the ninth O site, O(9) is bonded to one Ti(10), one Ti(4), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(14)Ti4 trigonal pyramids, corners with two equivalent O(16)Ti4 trigonal pyramids,  an edgeedge with one O(12)Ti4 trigonal pyramid,  an edgeedge with one O(20)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and  an edgeedge with one O(7)Ti4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Ti(1), one Ti(12), one Ti(2), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(17)Ti4 trigonal pyramids,  an edgeedge with one O(21)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid, and edges with two equivalent O(2)Ti4 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Ti(11), one Ti(4), one Ti(7), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(15)Ti3V trigonal pyramids, corners with two equivalent O(17)Ti4 trigonal pyramids,  an edgeedge with one O(18)Ti3V trigonal pyramid,  an edgeedge with one O(19)Ti3V trigonal pyramid, and  an edgeedge with one O(14)Ti4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Ti(12), one Ti(5), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(16)Ti4 trigonal pyramids, corners with two equivalent O(7)Ti4 trigonal pyramids,  an edgeedge with one O(14)Ti4 trigonal pyramid,  an edgeedge with one O(20)Ti4 trigonal pyramid, and  an edgeedge with one O(9)Ti4 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Ti(12), one Ti(7), one Ti(8), and one V(1) atom. In the fourteenth O site, O(14) is bonded to one Ti(11), one Ti(4), one Ti(5), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid, corners with two equivalent O(3)Ti4 trigonal pyramids, corners with two equivalent O(9)Ti4 trigonal pyramids,  an edgeedge with one O(11)Ti3V trigonal pyramid,  an edgeedge with one O(12)Ti4 trigonal pyramid,  an edgeedge with one O(7)Ti4 trigonal pyramid, and  an edgeedge with one O(8)Ti4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Ti(10), one Ti(11), one Ti(13), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(11)Ti3V trigonal pyramids, corners with two equivalent O(18)Ti3V trigonal pyramids,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and edges with two equivalent O(19)Ti3V trigonal pyramids. In the sixteenth O site, O(16) is bonded to one Ti(14), one Ti(15), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(12)Ti4 trigonal pyramids, corners with two equivalent O(9)Ti4 trigonal pyramids,  an edgeedge with one O(22)Ti3V trigonal pyramid,  an edgeedge with one O(6)Ti4 trigonal pyramid, and edges with two equivalent O(20)Ti4 trigonal pyramids. In the seventeenth O site, O(17) is bonded to one Ti(11), one Ti(12), one Ti(6), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(11)Ti3V trigonal pyramids, corners with two equivalent O(10)Ti4 trigonal pyramids,  an edgeedge with one O(18)Ti3V trigonal pyramid,  an edgeedge with one O(2)Ti4 trigonal pyramid, and  an edgeedge with one O(4)Ti4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Ti(11), one Ti(12), one Ti(15), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid, corners with two equivalent O(15)Ti3V trigonal pyramids,  an edgeedge with one O(11)Ti3V trigonal pyramid,  an edgeedge with one O(19)Ti3V trigonal pyramid,  an edgeedge with one O(22)Ti3V trigonal pyramid, and  an edgeedge with one O(17)Ti4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Ti(10), one Ti(11), one Ti(13), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(1)Ti4 trigonal pyramids, corners with two equivalent O(23)Ti4 trigonal pyramids,  an edgeedge with one O(11)Ti3V trigonal pyramid,  an edgeedge with one O(18)Ti3V trigonal pyramid, and edges with two equivalent O(15)Ti3V trigonal pyramids. In the twentieth O site, O(20) is bonded to one Ti(14), one Ti(15), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(22)Ti3V trigonal pyramids, corners with two equivalent O(6)Ti4 trigonal pyramids,  an edgeedge with one O(12)Ti4 trigonal pyramid,  an edgeedge with one O(9)Ti4 trigonal pyramid, and edges with two equivalent O(16)Ti4 trigonal pyramids. In the twenty-first O site, O(21) is bonded to one Ti(1), one Ti(10), one Ti(14), and one Ti(2) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(2)Ti4 trigonal pyramids, corners with two equivalent O(23)Ti4 trigonal pyramids,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(10)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid, and  an edgeedge with one O(6)Ti4 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Ti(14), one Ti(15), one Ti(3), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(20)Ti4 trigonal pyramids, corners with two equivalent O(24)Ti4 trigonal pyramids,  an edgeedge with one O(18)Ti3V trigonal pyramid,  an edgeedge with one O(16)Ti4 trigonal pyramid,  an edgeedge with one O(4)Ti4 trigonal pyramid, and  an edgeedge with one O(6)Ti4 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Ti(1), one Ti(10), one Ti(13), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid, corners with two equivalent O(19)Ti3V trigonal pyramids, corners with two equivalent O(21)Ti4 trigonal pyramids,  an edgeedge with one O(15)Ti3V trigonal pyramid,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid, and  an edgeedge with one O(9)Ti4 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Ti(13), one Ti(15), one Ti(3), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid, corners with two equivalent O(22)Ti3V trigonal pyramids, corners with two equivalent O(8)Ti4 trigonal pyramids,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(3)Ti4 trigonal pyramid,  an edgeedge with one O(4)Ti4 trigonal pyramid, and  an edgeedge with one O(6)Ti4 trigonal pyramid.
Ti15VO24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. There are fifteen inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(2), one O(21), one O(23), one O(5), and one O(6) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. The Ti(1)-O(10) bond length is 2.07 Å. The Ti(1)-O(2) bond length is 2.01 Å. The Ti(1)-O(21) bond length is 2.07 Å. The Ti(1)-O(23) bond length is 2.01 Å. The Ti(1)-O(5) bond length is 2.07 Å. The Ti(1)-O(6) bond length is 2.01 Å. In the second Ti site, Ti(2) is bonded to one O(1), one O(10), one O(2), one O(21), one O(5), and one O(7) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The Ti(2)-O(1) bond length is 2.01 Å. The Ti(2)-O(10) bond length is 2.07 Å. The Ti(2)-O(2) bond length is 2.01 Å. The Ti(2)-O(21) bond length is 2.07 Å. The Ti(2)-O(5) bond length is 2.07 Å. The Ti(2)-O(7) bond length is 2.02 Å. In the third Ti site, Ti(3) is bonded to one O(1), one O(22), one O(24), one O(3), one O(4), and one O(8) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(15)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Ti(13)O6 octahedra,  an edgeedge with one Ti(14)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. The Ti(3)-O(1) bond length is 2.01 Å. The Ti(3)-O(22) bond length is 1.97 Å. The Ti(3)-O(24) bond length is 2.07 Å. The Ti(3)-O(3) bond length is 2.08 Å. The Ti(3)-O(4) bond length is 2.07 Å. The Ti(3)-O(8) bond length is 2.01 Å. In the fourth Ti site, Ti(4) is bonded to one O(11), one O(14), one O(3), one O(7), one O(8), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(9)O6 octahedra,  an edgeedge with one Ti(11)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The Ti(4)-O(11) bond length is 1.99 Å. The Ti(4)-O(14) bond length is 2.07 Å. The Ti(4)-O(3) bond length is 2.00 Å. The Ti(4)-O(7) bond length is 2.07 Å. The Ti(4)-O(8) bond length is 2.07 Å. The Ti(4)-O(9) bond length is 2.01 Å. In the fifth Ti site, Ti(5) is bonded to one O(12), one O(14), one O(3), one O(5), one O(7), and one O(8) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-56°. The Ti(5)-O(12) bond length is 2.01 Å. The Ti(5)-O(14) bond length is 2.07 Å. The Ti(5)-O(3) bond length is 2.01 Å. The Ti(5)-O(5) bond length is 2.01 Å. The Ti(5)-O(7) bond length is 2.07 Å. The Ti(5)-O(8) bond length is 2.07 Å. In the sixth Ti site, Ti(6) is bonded to one O(17), one O(24), one O(3), one O(4), one O(6), and one O(8) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The Ti(6)-O(17) bond length is 2.01 Å. The Ti(6)-O(24) bond length is 2.07 Å. The Ti(6)-O(3) bond length is 2.07 Å. The Ti(6)-O(4) bond length is 2.07 Å. The Ti(6)-O(6) bond length is 2.01 Å. The Ti(6)-O(8) bond length is 2.02 Å. In the seventh Ti site, Ti(7) is bonded to one O(10), one O(11), one O(13), one O(17), one O(2), and one O(4) atom to form TiO6 octahedra that share  a cornercorner with one Ti(12)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(11)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and  a faceface with one Ti(12)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. The Ti(7)-O(10) bond length is 2.01 Å. The Ti(7)-O(11) bond length is 2.00 Å. The Ti(7)-O(13) bond length is 2.05 Å. The Ti(7)-O(17) bond length is 2.08 Å. The Ti(7)-O(2) bond length is 2.08 Å. The Ti(7)-O(4) bond length is 2.03 Å. In the eighth Ti site, Ti(8) is bonded to one O(12), one O(13), one O(16), one O(20), one O(7), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(15)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra,  an edgeedge with one Ti(12)O6 octahedra,  an edgeedge with one Ti(14)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one Ti(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. The Ti(8)-O(12) bond length is 2.07 Å. The Ti(8)-O(13) bond length is 1.97 Å. The Ti(8)-O(16) bond length is 2.01 Å. The Ti(8)-O(20) bond length is 2.08 Å. The Ti(8)-O(7) bond length is 2.01 Å. The Ti(8)-O(9) bond length is 2.08 Å. In the ninth Ti site, Ti(9) is bonded to one O(12), one O(14), one O(16), one O(20), one O(23), and one O(9) atom to form a mixture of face, corner, and edge-sharing TiO6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The Ti(9)-O(12) bond length is 2.08 Å. The Ti(9)-O(14) bond length is 2.01 Å. The Ti(9)-O(16) bond length is 2.01 Å. The Ti(9)-O(20) bond length is 2.07 Å. The Ti(9)-O(23) bond length is 2.01 Å. The Ti(9)-O(9) bond length is 2.07 Å. In the tenth Ti site, Ti(10) is bonded to one O(1), one O(15), one O(19), one O(21), one O(23), and one O(9) atom to form TiO6 octahedra that share  a cornercorner with one Ti(13)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(11)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(9)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and  a faceface with one Ti(13)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. The Ti(10)-O(1) bond length is 2.08 Å. The Ti(10)-O(15) bond length is 2.05 Å. The Ti(10)-O(19) bond length is 2.00 Å. The Ti(10)-O(21) bond length is 2.02 Å. The Ti(10)-O(23) bond length is 2.07 Å. The Ti(10)-O(9) bond length is 2.01 Å. In the eleventh Ti site, Ti(11) is bonded to one O(11), one O(14), one O(15), one O(17), one O(18), and one O(19) atom to form TiO6 octahedra that share  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(10)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra,  an edgeedge with one Ti(12)O6 octahedra,  an edgeedge with one Ti(13)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-57°. The Ti(11)-O(11) bond length is 2.09 Å. The Ti(11)-O(14) bond length is 2.01 Å. The Ti(11)-O(15) bond length is 1.97 Å. The Ti(11)-O(17) bond length is 2.01 Å. The Ti(11)-O(18) bond length is 2.08 Å. The Ti(11)-O(19) bond length is 2.07 Å. In the twelfth Ti site, Ti(12) is bonded to one O(10), one O(12), one O(13), one O(17), one O(18), and one O(2) atom to form TiO6 octahedra that share  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(11)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The Ti(12)-O(10) bond length is 2.01 Å. The Ti(12)-O(12) bond length is 2.01 Å. The Ti(12)-O(13) bond length is 2.06 Å. The Ti(12)-O(17) bond length is 2.07 Å. The Ti(12)-O(18) bond length is 1.99 Å. The Ti(12)-O(2) bond length is 2.07 Å. In the thirteenth Ti site, Ti(13) is bonded to one O(1), one O(15), one O(19), one O(23), one O(24), and one O(5) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(9)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent V(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(11)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra, and  a faceface with one Ti(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The Ti(13)-O(1) bond length is 2.07 Å. The Ti(13)-O(15) bond length is 2.06 Å. The Ti(13)-O(19) bond length is 1.99 Å. The Ti(13)-O(23) bond length is 2.07 Å. The Ti(13)-O(24) bond length is 2.01 Å. The Ti(13)-O(5) bond length is 2.01 Å. In the fourteenth Ti site, Ti(14) is bonded to one O(16), one O(20), one O(21), one O(22), one O(4), and one O(6) atom to form TiO6 octahedra that share  a cornercorner with one Ti(10)O6 octahedra,  a cornercorner with one Ti(15)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one V(1)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(9)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-56°. The Ti(14)-O(16) bond length is 2.07 Å. The Ti(14)-O(20) bond length is 2.01 Å. The Ti(14)-O(21) bond length is 2.01 Å. The Ti(14)-O(22) bond length is 2.06 Å. The Ti(14)-O(4) bond length is 2.01 Å. The Ti(14)-O(6) bond length is 2.07 Å. In the fifteenth Ti site, Ti(15) is bonded to one O(16), one O(18), one O(20), one O(22), one O(24), and one O(6) atom to form TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ti(11)O6 octahedra,  a cornercorner with one Ti(12)O6 octahedra,  a cornercorner with one Ti(13)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(9)O6 octahedra,  an edgeedge with one V(1)O6 octahedra, and  a faceface with one Ti(14)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-57°. The Ti(15)-O(16) bond length is 2.08 Å. The Ti(15)-O(18) bond length is 2.00 Å. The Ti(15)-O(20) bond length is 2.03 Å. The Ti(15)-O(22) bond length is 2.05 Å. The Ti(15)-O(24) bond length is 2.01 Å. The Ti(15)-O(6) bond length is 2.08 Å. V(1) is bonded to one O(11), one O(13), one O(15), one O(18), one O(19), and one O(22) atom to form VO6 octahedra that share  a cornercorner with one Ti(11)O6 octahedra,  a cornercorner with one Ti(14)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(12)O6 octahedra, corners with two equivalent Ti(13)O6 octahedra,  an edgeedge with one Ti(10)O6 octahedra,  an edgeedge with one Ti(15)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, and  a faceface with one Ti(11)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-57°. The V(1)-O(11) bond length is 2.08 Å. The V(1)-O(13) bond length is 2.06 Å. The V(1)-O(15) bond length is 2.06 Å. The V(1)-O(18) bond length is 2.08 Å. The V(1)-O(19) bond length is 2.08 Å. The V(1)-O(22) bond length is 2.06 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ti(10), one Ti(13), one Ti(2), and one Ti(3) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(19)Ti3V trigonal pyramids, corners with two equivalent O(5)Ti4 trigonal pyramids,  an edgeedge with one O(15)Ti3V trigonal pyramid,  an edgeedge with one O(21)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and  an edgeedge with one O(24)Ti4 trigonal pyramid. In the second O site, O(2) is bonded to one Ti(1), one Ti(12), one Ti(2), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(21)Ti4 trigonal pyramids, corners with two equivalent O(5)Ti4 trigonal pyramids,  an edgeedge with one O(17)Ti4 trigonal pyramid, and edges with two equivalent O(10)Ti4 trigonal pyramids. In the third O site, O(3) is bonded to one Ti(3), one Ti(4), one Ti(5), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(14)Ti4 trigonal pyramids, corners with two equivalent O(7)Ti4 trigonal pyramids,  an edgeedge with one O(24)Ti4 trigonal pyramid,  an edgeedge with one O(4)Ti4 trigonal pyramid, and edges with two equivalent O(8)Ti4 trigonal pyramids. In the fourth O site, O(4) is bonded to one Ti(14), one Ti(3), one Ti(6), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid, corners with two equivalent O(6)Ti4 trigonal pyramids, corners with two equivalent O(8)Ti4 trigonal pyramids,  an edgeedge with one O(22)Ti3V trigonal pyramid,  an edgeedge with one O(17)Ti4 trigonal pyramid,  an edgeedge with one O(24)Ti4 trigonal pyramid, and  an edgeedge with one O(3)Ti4 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ti(1), one Ti(13), one Ti(2), and one Ti(5) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(1)Ti4 trigonal pyramids, corners with two equivalent O(2)Ti4 trigonal pyramids,  an edgeedge with one O(10)Ti4 trigonal pyramid,  an edgeedge with one O(21)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and  an edgeedge with one O(7)Ti4 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ti(1), one Ti(14), one Ti(15), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(20)Ti4 trigonal pyramids, corners with two equivalent O(4)Ti4 trigonal pyramids,  an edgeedge with one O(22)Ti3V trigonal pyramid,  an edgeedge with one O(16)Ti4 trigonal pyramid,  an edgeedge with one O(21)Ti4 trigonal pyramid, and  an edgeedge with one O(24)Ti4 trigonal pyramid. In the seventh O site, O(7) is bonded to one Ti(2), one Ti(4), one Ti(5), and one Ti(8) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid, corners with two equivalent O(12)Ti4 trigonal pyramids, corners with two equivalent O(3)Ti4 trigonal pyramids,  an edgeedge with one O(14)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid,  an edgeedge with one O(8)Ti4 trigonal pyramid, and  an edgeedge with one O(9)Ti4 trigonal pyramid. In the eighth O site, O(8) is bonded to one Ti(3), one Ti(4), one Ti(5), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(24)Ti4 trigonal pyramids, corners with two equivalent O(4)Ti4 trigonal pyramids,  an edgeedge with one O(14)Ti4 trigonal pyramid,  an edgeedge with one O(7)Ti4 trigonal pyramid, and edges with two equivalent O(3)Ti4 trigonal pyramids. In the ninth O site, O(9) is bonded to one Ti(10), one Ti(4), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(14)Ti4 trigonal pyramids, corners with two equivalent O(16)Ti4 trigonal pyramids,  an edgeedge with one O(12)Ti4 trigonal pyramid,  an edgeedge with one O(20)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and  an edgeedge with one O(7)Ti4 trigonal pyramid. In the tenth O site, O(10) is bonded to one Ti(1), one Ti(12), one Ti(2), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(17)Ti4 trigonal pyramids,  an edgeedge with one O(21)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid, and edges with two equivalent O(2)Ti4 trigonal pyramids. In the eleventh O site, O(11) is bonded to one Ti(11), one Ti(4), one Ti(7), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(15)Ti3V trigonal pyramids, corners with two equivalent O(17)Ti4 trigonal pyramids,  an edgeedge with one O(18)Ti3V trigonal pyramid,  an edgeedge with one O(19)Ti3V trigonal pyramid, and  an edgeedge with one O(14)Ti4 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Ti(12), one Ti(5), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(16)Ti4 trigonal pyramids, corners with two equivalent O(7)Ti4 trigonal pyramids,  an edgeedge with one O(14)Ti4 trigonal pyramid,  an edgeedge with one O(20)Ti4 trigonal pyramid, and  an edgeedge with one O(9)Ti4 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Ti(12), one Ti(7), one Ti(8), and one V(1) atom. In the fourteenth O site, O(14) is bonded to one Ti(11), one Ti(4), one Ti(5), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid, corners with two equivalent O(3)Ti4 trigonal pyramids, corners with two equivalent O(9)Ti4 trigonal pyramids,  an edgeedge with one O(11)Ti3V trigonal pyramid,  an edgeedge with one O(12)Ti4 trigonal pyramid,  an edgeedge with one O(7)Ti4 trigonal pyramid, and  an edgeedge with one O(8)Ti4 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Ti(10), one Ti(11), one Ti(13), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(11)Ti3V trigonal pyramids, corners with two equivalent O(18)Ti3V trigonal pyramids,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(23)Ti4 trigonal pyramid, and edges with two equivalent O(19)Ti3V trigonal pyramids. In the sixteenth O site, O(16) is bonded to one Ti(14), one Ti(15), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(12)Ti4 trigonal pyramids, corners with two equivalent O(9)Ti4 trigonal pyramids,  an edgeedge with one O(22)Ti3V trigonal pyramid,  an edgeedge with one O(6)Ti4 trigonal pyramid, and edges with two equivalent O(20)Ti4 trigonal pyramids. In the seventeenth O site, O(17) is bonded to one Ti(11), one Ti(12), one Ti(6), and one Ti(7) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(11)Ti3V trigonal pyramids, corners with two equivalent O(10)Ti4 trigonal pyramids,  an edgeedge with one O(18)Ti3V trigonal pyramid,  an edgeedge with one O(2)Ti4 trigonal pyramid, and  an edgeedge with one O(4)Ti4 trigonal pyramid. In the eighteenth O site, O(18) is bonded to one Ti(11), one Ti(12), one Ti(15), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid, corners with two equivalent O(15)Ti3V trigonal pyramids,  an edgeedge with one O(11)Ti3V trigonal pyramid,  an edgeedge with one O(19)Ti3V trigonal pyramid,  an edgeedge with one O(22)Ti3V trigonal pyramid, and  an edgeedge with one O(17)Ti4 trigonal pyramid. In the nineteenth O site, O(19) is bonded to one Ti(10), one Ti(11), one Ti(13), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(1)Ti4 trigonal pyramids, corners with two equivalent O(23)Ti4 trigonal pyramids,  an edgeedge with one O(11)Ti3V trigonal pyramid,  an edgeedge with one O(18)Ti3V trigonal pyramid, and edges with two equivalent O(15)Ti3V trigonal pyramids. In the twentieth O site, O(20) is bonded to one Ti(14), one Ti(15), one Ti(8), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid, corners with two equivalent O(22)Ti3V trigonal pyramids, corners with two equivalent O(6)Ti4 trigonal pyramids,  an edgeedge with one O(12)Ti4 trigonal pyramid,  an edgeedge with one O(9)Ti4 trigonal pyramid, and edges with two equivalent O(16)Ti4 trigonal pyramids. In the twenty-first O site, O(21) is bonded to one Ti(1), one Ti(10), one Ti(14), and one Ti(2) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(22)Ti3V trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(4)Ti4 trigonal pyramid,  a cornercorner with one O(7)Ti4 trigonal pyramid,  a cornercorner with one O(9)Ti4 trigonal pyramid, corners with two equivalent O(2)Ti4 trigonal pyramids, corners with two equivalent O(23)Ti4 trigonal pyramids,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(10)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid, and  an edgeedge with one O(6)Ti4 trigonal pyramid. In the twenty-second O site, O(22) is bonded to one Ti(14), one Ti(15), one Ti(3), and one V(1) atom to form distorted OTi3V trigonal pyramids that share  a cornercorner with one O(11)Ti3V trigonal pyramid,  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(1)Ti4 trigonal pyramid,  a cornercorner with one O(21)Ti4 trigonal pyramid,  a cornercorner with one O(3)Ti4 trigonal pyramid,  a cornercorner with one O(8)Ti4 trigonal pyramid, corners with two equivalent O(20)Ti4 trigonal pyramids, corners with two equivalent O(24)Ti4 trigonal pyramids,  an edgeedge with one O(18)Ti3V trigonal pyramid,  an edgeedge with one O(16)Ti4 trigonal pyramid,  an edgeedge with one O(4)Ti4 trigonal pyramid, and  an edgeedge with one O(6)Ti4 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Ti(1), one Ti(10), one Ti(13), and one Ti(9) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(10)Ti4 trigonal pyramid,  a cornercorner with one O(12)Ti4 trigonal pyramid,  a cornercorner with one O(14)Ti4 trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(2)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(24)Ti4 trigonal pyramid,  a cornercorner with one O(6)Ti4 trigonal pyramid, corners with two equivalent O(19)Ti3V trigonal pyramids, corners with two equivalent O(21)Ti4 trigonal pyramids,  an edgeedge with one O(15)Ti3V trigonal pyramid,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(5)Ti4 trigonal pyramid, and  an edgeedge with one O(9)Ti4 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded to one Ti(13), one Ti(15), one Ti(3), and one Ti(6) atom to form distorted OTi4 trigonal pyramids that share  a cornercorner with one O(15)Ti3V trigonal pyramid,  a cornercorner with one O(18)Ti3V trigonal pyramid,  a cornercorner with one O(19)Ti3V trigonal pyramid,  a cornercorner with one O(16)Ti4 trigonal pyramid,  a cornercorner with one O(17)Ti4 trigonal pyramid,  a cornercorner with one O(20)Ti4 trigonal pyramid,  a cornercorner with one O(23)Ti4 trigonal pyramid,  a cornercorner with one O(5)Ti4 trigonal pyramid, corners with two equivalent O(22)Ti3V trigonal pyramids, corners with two equivalent O(8)Ti4 trigonal pyramids,  an edgeedge with one O(1)Ti4 trigonal pyramid,  an edgeedge with one O(3)Ti4 trigonal pyramid,  an edgeedge with one O(4)Ti4 trigonal pyramid, and  an edgeedge with one O(6)Ti4 trigonal pyramid.