MgTi8(NiO3)8 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(12), one O(14), one O(16), one O(19), and one O(7) atom to form MgO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  a faceface with one Ni(2)O6 octahedra, and  a faceface with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(13), one O(16), one O(2), one O(3), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  a faceface with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. In the second Ti site, Ti(2) is bonded to one O(11), one O(17), one O(18), one O(2), one O(23), and one O(4) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra, corners with two equivalent Ni(8)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-63°. In the third Ti site, Ti(3) is bonded to one O(1), one O(12), one O(19), one O(20), one O(22), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra, corners with two equivalent Ni(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(14), one O(15), one O(21), one O(24), and one O(6) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra, corners with two equivalent Ni(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, and  a faceface with one Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-60°. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(10), one O(11), one O(15), one O(19), and one O(4) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-62°. In the sixth Ti site, Ti(6) is bonded to one O(13), one O(20), one O(24), one O(3), one O(5), and one O(6) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. In the seventh Ti site, Ti(7) is bonded to one O(14), one O(2), one O(21), one O(23), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-59°. In the eighth Ti site, Ti(8) is bonded to one O(12), one O(16), one O(17), one O(18), one O(22), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-61°. There are eight inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(13), one O(16), one O(3), one O(7), one O(8), and one O(9) atom to form distorted NiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra, corners with two equivalent Ni(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-63°. In the second Ni site, Ni(2) is bonded to one O(10), one O(12), one O(19), one O(22), one O(5), and one O(7) atom to form distorted NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-57°. In the third Ni site, Ni(3) is bonded to one O(11), one O(18), one O(23), one O(4), one O(6), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. In the fourth Ni site, Ni(4) is bonded to one O(1), one O(10), one O(11), one O(4), one O(5), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(4)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 Ni(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. In the fifth Ni site, Ni(5) is bonded to one O(14), one O(15), one O(17), one O(20), one O(21), and one O(24) atom to form NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-60°. In the sixth Ni site, Ni(6) is bonded to one O(13), one O(15), one O(18), one O(20), one O(3), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  a faceface with one Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. In the seventh Ni site, Ni(7) is bonded to one O(14), one O(16), one O(19), one O(2), one O(21), and one O(7) atom to form distorted NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. In the eighth Ni site, Ni(8) is bonded to one O(12), one O(17), one O(22), one O(23), one O(24), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  a faceface with one Ti(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ti(1), one Ti(3), one Ti(5), and one Ni(4) atom to form distorted OTi3Ni trigonal pyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(2)Ti3Ni trigonal pyramid, corners with two equivalent O(4)Ti2Ni2 trigonal pyramids, corners with two equivalent O(5)Ti2Ni2 trigonal pyramids, and  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid. In the second O site, O(2) is bonded to one Ti(1), one Ti(2), one Ti(7), and one Ni(7) atom to form distorted OTi3Ni trigonal pyramids that share corners with two equivalent O(14)MgTi2Ni2 trigonal bipyramids,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid, and  an edgeedge with one O(23)Ti2Ni2 trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Ti(1), one Ti(6), one Ni(1), and one Ni(6) atom. In the fourth O site, O(4) is bonded to one Ti(2), one Ti(5), one Ni(3), and one Ni(4) atom to form distorted OTi2Ni2 trigonal pyramids that share corners with two equivalent O(10)MgTi2Ni2 trigonal bipyramids,  a cornercorner with one O(5)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(2)Ti3Ni trigonal pyramid,  a cornercorner with one O(9)TiNi3 trigonal pyramid, corners with two equivalent O(1)Ti3Ni trigonal pyramids, and  an edgeedge with one O(23)Ti2Ni2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ti(3), one Ti(6), one Ni(2), and one Ni(4) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid, corners with two equivalent O(12)MgTi2Ni2 trigonal bipyramids,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(1)Ti3Ni trigonal pyramids,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(20)Ti2Ni2 trigonal pyramid, and  an edgeedge with one O(22)Ti2Ni2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ti(4), one Ti(6), one Ni(3), and one Ni(6) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(10)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(5)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(9)TiNi3 trigonal pyramid, and  an edgeedge with one O(20)Ti2Ni2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Mg(1), one Ti(7), one Ni(1), one Ni(2), and one Ni(7) atom to form distorted OMgTiNi3 trigonal bipyramids that share  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(5)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(9)TiNi3 trigonal pyramid,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(14)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid, and  an edgeedge with one O(2)Ti3Ni trigonal pyramid. In the eighth O site, O(8) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(7), one Ni(1), and one Ni(4) atom. In the ninth O site, O(9) is bonded to one Ti(8), one Ni(1), one Ni(3), and one Ni(8) atom to form distorted OTiNi3 trigonal pyramids that share  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(22)Ti2Ni2 trigonal pyramids,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid, and  an edgeedge with one O(23)Ti2Ni2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Mg(1), one Ti(4), one Ti(5), one Ni(2), and one Ni(4) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(4)Ti2Ni2 trigonal pyramids,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(14)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid,  an edgeedge with one O(5)Ti2Ni2 trigonal pyramid, and  an edgeedge with one O(1)Ti3Ni trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Ti(2), one Ti(5), one Ni(3), and one Ni(4) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Ti(3), one Ti(8), one Ni(2), and one Ni(8) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid, corners with two equivalent O(5)Ti2Ni2 trigonal pyramids,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid,  an edgeedge with one O(9)TiNi3 trigonal pyramid, and edges with two equivalent O(22)Ti2Ni2 trigonal pyramids. In the thirteenth O site, O(13) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(6), one Ni(1), and one Ni(6) atom. In the fourteenth O site, O(14) is bonded to one Mg(1), one Ti(4), one Ti(7), one Ni(5), and one Ni(7) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(2)Ti3Ni trigonal pyramids,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid, and  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid. In the fifteenth O site, O(15) is bonded in a distorted see-saw-like geometry to one Ti(4), one Ti(5), one Ni(5), and one Ni(6) atom. In the sixteenth O site, O(16) is bonded to one Mg(1), one Ti(1), one Ti(8), one Ni(1), and one Ni(7) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(10)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(14)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid,  an edgeedge with one O(2)Ti3Ni trigonal pyramid, and  an edgeedge with one O(9)TiNi3 trigonal pyramid. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Ti(8), one Ni(5), and one Ni(8) atom. In the eighteenth O site, O(18) is bonded in a distorted rectangular see-saw-like geometry to one Ti(2), one Ti(8), one Ni(3), and one Ni(6) atom. In the nineteenth O site, O(19) is bonded in a 5-coordinate geometry to one Mg(1), one Ti(3), one Ti(5), one Ni(2), and one Ni(7) atom. In the twentieth O site, O(20) is bonded to one Ti(3), one Ti(6), one Ni(5), and one Ni(6) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid,  an edgeedge with one O(5)Ti2Ni2 trigonal pyramid, and  an edgeedge with one O(6)Ti2Ni2 trigonal pyramid. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Ti(4), one Ti(7), one Ni(5), and one Ni(7) atom. In the twenty-second O site, O(22) is bonded to one Ti(3), one Ti(8), one Ni(2), and one Ni(8) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(10)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid, corners with two equivalent O(9)TiNi3 trigonal pyramids, edges with two equivalent O(12)MgTi2Ni2 trigonal bipyramids, and  an edgeedge with one O(5)Ti2Ni2 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Ti(2), one Ti(7), one Ni(3), and one Ni(8) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid,  an edgeedge with one O(4)Ti2Ni2 trigonal pyramid,  an edgeedge with one O(2)Ti3Ni trigonal pyramid, and  an edgeedge with one O(9)TiNi3 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Ti(4), one Ti(6), one Ni(5), and one Ni(8) atom.
MgTi8(NiO3)8 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(12), one O(14), one O(16), one O(19), and one O(7) atom to form MgO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra,  a faceface with one Ni(2)O6 octahedra, and  a faceface with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. The Mg(1)-O(10) bond length is 2.07 Å. The Mg(1)-O(12) bond length is 2.06 Å. The Mg(1)-O(14) bond length is 2.08 Å. The Mg(1)-O(16) bond length is 2.11 Å. The Mg(1)-O(19) bond length is 2.02 Å. The Mg(1)-O(7) bond length is 1.98 Å. There are eight inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(13), one O(16), one O(2), one O(3), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra, and  a faceface with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. The Ti(1)-O(1) bond length is 1.97 Å. The Ti(1)-O(13) bond length is 2.08 Å. The Ti(1)-O(16) bond length is 2.21 Å. The Ti(1)-O(2) bond length is 2.02 Å. The Ti(1)-O(3) bond length is 1.87 Å. The Ti(1)-O(8) bond length is 2.12 Å. In the second Ti site, Ti(2) is bonded to one O(11), one O(17), one O(18), one O(2), one O(23), and one O(4) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra, corners with two equivalent Ni(8)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-63°. The Ti(2)-O(11) bond length is 1.95 Å. The Ti(2)-O(17) bond length is 1.86 Å. The Ti(2)-O(18) bond length is 2.12 Å. The Ti(2)-O(2) bond length is 1.97 Å. The Ti(2)-O(23) bond length is 2.08 Å. The Ti(2)-O(4) bond length is 2.17 Å. In the third Ti site, Ti(3) is bonded to one O(1), one O(12), one O(19), one O(20), one O(22), and one O(5) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(4)O6 octahedra, corners with two equivalent Ni(8)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ni(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. The Ti(3)-O(1) bond length is 1.97 Å. The Ti(3)-O(12) bond length is 1.93 Å. The Ti(3)-O(19) bond length is 2.28 Å. The Ti(3)-O(20) bond length is 1.83 Å. The Ti(3)-O(22) bond length is 2.05 Å. The Ti(3)-O(5) bond length is 2.06 Å. In the fourth Ti site, Ti(4) is bonded to one O(10), one O(14), one O(15), one O(21), one O(24), and one O(6) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra, corners with two equivalent Ni(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(5)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra, and  a faceface with one Ni(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-60°. The Ti(4)-O(10) bond length is 2.00 Å. The Ti(4)-O(14) bond length is 2.27 Å. The Ti(4)-O(15) bond length is 2.14 Å. The Ti(4)-O(21) bond length is 1.87 Å. The Ti(4)-O(24) bond length is 2.03 Å. The Ti(4)-O(6) bond length is 1.88 Å. In the fifth Ti site, Ti(5) is bonded to one O(1), one O(10), one O(11), one O(15), one O(19), and one O(4) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and  a faceface with one Ni(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-62°. The Ti(5)-O(1) bond length is 2.25 Å. The Ti(5)-O(10) bond length is 2.20 Å. The Ti(5)-O(11) bond length is 1.99 Å. The Ti(5)-O(15) bond length is 1.87 Å. The Ti(5)-O(19) bond length is 1.96 Å. The Ti(5)-O(4) bond length is 1.85 Å. In the sixth Ti site, Ti(6) is bonded to one O(13), one O(20), one O(24), one O(3), one O(5), and one O(6) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Ni(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. The Ti(6)-O(13) bond length is 1.88 Å. The Ti(6)-O(20) bond length is 2.18 Å. The Ti(6)-O(24) bond length is 1.94 Å. The Ti(6)-O(3) bond length is 2.18 Å. The Ti(6)-O(5) bond length is 1.93 Å. The Ti(6)-O(6) bond length is 2.09 Å. In the seventh Ti site, Ti(7) is bonded to one O(14), one O(2), one O(21), one O(23), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ni(5)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Ni(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-59°. The Ti(7)-O(14) bond length is 1.94 Å. The Ti(7)-O(2) bond length is 2.13 Å. The Ti(7)-O(21) bond length is 2.23 Å. The Ti(7)-O(23) bond length is 1.88 Å. The Ti(7)-O(7) bond length is 2.17 Å. The Ti(7)-O(8) bond length is 1.85 Å. In the eighth Ti site, Ti(8) is bonded to one O(12), one O(16), one O(17), one O(18), one O(22), and one O(9) atom to form distorted TiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(5)O6 octahedra,  a cornercorner with one Ni(6)O6 octahedra,  a cornercorner with one Ni(7)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra,  an edgeedge with one Ti(3)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Ni(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-61°. The Ti(8)-O(12) bond length is 2.29 Å. The Ti(8)-O(16) bond length is 1.95 Å. The Ti(8)-O(17) bond length is 2.13 Å. The Ti(8)-O(18) bond length is 1.84 Å. The Ti(8)-O(22) bond length is 1.96 Å. The Ti(8)-O(9) bond length is 1.94 Å. There are eight inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(13), one O(16), one O(3), one O(7), one O(8), and one O(9) atom to form distorted NiO6 octahedra that share  a cornercorner with one Ti(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra,  a cornercorner with one Ni(4)O6 octahedra,  a cornercorner with one Ni(8)O6 octahedra, corners with two equivalent Ni(6)O6 octahedra, corners with two equivalent Ni(7)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(6)O6 octahedra,  an edgeedge with one Ti(7)O6 octahedra,  an edgeedge with one Ti(8)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-63°. The Ni(1)-O(13) bond length is 2.14 Å. The Ni(1)-O(16) bond length is 2.22 Å. The Ni(1)-O(3) bond length is 2.02 Å. The Ni(1)-O(7) bond length is 2.02 Å. The Ni(1)-O(8) bond length is 2.22 Å. The Ni(1)-O(9) bond length is 2.01 Å. In the second Ni site, Ni(2) is bonded to one O(10), one O(12), one O(19), one O(22), one O(5), and one O(7) atom to form distorted NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 36-57°. The Ni(2)-O(10) bond length is 2.21 Å. The Ni(2)-O(12) bond length is 2.14 Å. The Ni(2)-O(19) bond length is 2.05 Å. The Ni(2)-O(22) bond length is 2.03 Å. The Ni(2)-O(5) bond length is 2.05 Å. The Ni(2)-O(7) bond length is 2.11 Å. In the third Ni site, Ni(3) is bonded to one O(11), one O(18), one O(23), one O(4), one O(6), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(5)O6 octahedra, corners with two equivalent Ti(8)O6 octahedra,  an edgeedge with one Ni(4)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 43-63°. The Ni(3)-O(11) bond length is 2.10 Å. The Ni(3)-O(18) bond length is 2.18 Å. The Ni(3)-O(23) bond length is 2.13 Å. The Ni(3)-O(4) bond length is 2.17 Å. The Ni(3)-O(6) bond length is 2.06 Å. The Ni(3)-O(9) bond length is 2.01 Å. In the fourth Ni site, Ni(4) is bonded to one O(1), one O(10), one O(11), one O(4), one O(5), and one O(8) atom to form NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(4)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 Ni(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  a faceface with one Ti(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. The Ni(4)-O(1) bond length is 2.13 Å. The Ni(4)-O(10) bond length is 2.15 Å. The Ni(4)-O(11) bond length is 2.17 Å. The Ni(4)-O(4) bond length is 2.06 Å. The Ni(4)-O(5) bond length is 2.10 Å. The Ni(4)-O(8) bond length is 2.07 Å. In the fifth Ni site, Ni(5) is bonded to one O(14), one O(15), one O(17), one O(20), one O(21), and one O(24) atom to form NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(6)O6 octahedra, corners with two equivalent Ti(7)O6 octahedra,  an edgeedge with one Ni(6)O6 octahedra,  an edgeedge with one Ni(7)O6 octahedra,  an edgeedge with one Ni(8)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-60°. The Ni(5)-O(14) bond length is 2.14 Å. The Ni(5)-O(15) bond length is 2.15 Å. The Ni(5)-O(17) bond length is 2.06 Å. The Ni(5)-O(20) bond length is 2.05 Å. The Ni(5)-O(21) bond length is 2.06 Å. The Ni(5)-O(24) bond length is 2.13 Å. In the sixth Ni site, Ni(6) is bonded to one O(13), one O(15), one O(18), one O(20), one O(3), and one O(6) atom to form NiO6 octahedra that share  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  a faceface with one Ti(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. The Ni(6)-O(13) bond length is 2.08 Å. The Ni(6)-O(15) bond length is 2.06 Å. The Ni(6)-O(18) bond length is 2.07 Å. The Ni(6)-O(20) bond length is 2.12 Å. The Ni(6)-O(3) bond length is 2.12 Å. The Ni(6)-O(6) bond length is 2.13 Å. In the seventh Ni site, Ni(7) is bonded to one O(14), one O(16), one O(19), one O(2), one O(21), and one O(7) atom to form distorted NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(2)O6 octahedra,  a cornercorner with one Ti(3)O6 octahedra,  a cornercorner with one Ti(5)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Ti(7)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. The Ni(7)-O(14) bond length is 2.15 Å. The Ni(7)-O(16) bond length is 2.14 Å. The Ni(7)-O(19) bond length is 2.16 Å. The Ni(7)-O(2) bond length is 2.05 Å. The Ni(7)-O(21) bond length is 2.01 Å. The Ni(7)-O(7) bond length is 1.99 Å. In the eighth Ni site, Ni(8) is bonded to one O(12), one O(17), one O(22), one O(23), one O(24), and one O(9) atom to form NiO6 octahedra that share  a cornercorner with one Mg(1)O6 octahedra,  a cornercorner with one Ti(4)O6 octahedra,  a cornercorner with one Ti(6)O6 octahedra,  a cornercorner with one Ti(7)O6 octahedra,  a cornercorner with one Ti(8)O6 octahedra,  a cornercorner with one Ni(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra,  an edgeedge with one Ni(5)O6 octahedra, and  a faceface with one Ti(8)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-61°. The Ni(8)-O(12) bond length is 2.18 Å. The Ni(8)-O(17) bond length is 2.23 Å. The Ni(8)-O(22) bond length is 2.10 Å. The Ni(8)-O(23) bond length is 2.07 Å. The Ni(8)-O(24) bond length is 2.09 Å. The Ni(8)-O(9) bond length is 2.08 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded to one Ti(1), one Ti(3), one Ti(5), and one Ni(4) atom to form distorted OTi3Ni trigonal pyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(2)Ti3Ni trigonal pyramid, corners with two equivalent O(4)Ti2Ni2 trigonal pyramids, corners with two equivalent O(5)Ti2Ni2 trigonal pyramids, and  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid. In the second O site, O(2) is bonded to one Ti(1), one Ti(2), one Ti(7), and one Ni(7) atom to form distorted OTi3Ni trigonal pyramids that share corners with two equivalent O(14)MgTi2Ni2 trigonal bipyramids,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid, and  an edgeedge with one O(23)Ti2Ni2 trigonal pyramid. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Ti(1), one Ti(6), one Ni(1), and one Ni(6) atom. In the fourth O site, O(4) is bonded to one Ti(2), one Ti(5), one Ni(3), and one Ni(4) atom to form distorted OTi2Ni2 trigonal pyramids that share corners with two equivalent O(10)MgTi2Ni2 trigonal bipyramids,  a cornercorner with one O(5)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(2)Ti3Ni trigonal pyramid,  a cornercorner with one O(9)TiNi3 trigonal pyramid, corners with two equivalent O(1)Ti3Ni trigonal pyramids, and  an edgeedge with one O(23)Ti2Ni2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Ti(3), one Ti(6), one Ni(2), and one Ni(4) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid, corners with two equivalent O(12)MgTi2Ni2 trigonal bipyramids,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(1)Ti3Ni trigonal pyramids,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(20)Ti2Ni2 trigonal pyramid, and  an edgeedge with one O(22)Ti2Ni2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Ti(4), one Ti(6), one Ni(3), and one Ni(6) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(10)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(5)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(9)TiNi3 trigonal pyramid, and  an edgeedge with one O(20)Ti2Ni2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Mg(1), one Ti(7), one Ni(1), one Ni(2), and one Ni(7) atom to form distorted OMgTiNi3 trigonal bipyramids that share  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(5)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(9)TiNi3 trigonal pyramid,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(14)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid, and  an edgeedge with one O(2)Ti3Ni trigonal pyramid. In the eighth O site, O(8) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(7), one Ni(1), and one Ni(4) atom. In the ninth O site, O(9) is bonded to one Ti(8), one Ni(1), one Ni(3), and one Ni(8) atom to form distorted OTiNi3 trigonal pyramids that share  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(4)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(22)Ti2Ni2 trigonal pyramids,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid, and  an edgeedge with one O(23)Ti2Ni2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Mg(1), one Ti(4), one Ti(5), one Ni(2), and one Ni(4) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(4)Ti2Ni2 trigonal pyramids,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(14)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid,  an edgeedge with one O(5)Ti2Ni2 trigonal pyramid, and  an edgeedge with one O(1)Ti3Ni trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted see-saw-like geometry to one Ti(2), one Ti(5), one Ni(3), and one Ni(4) atom. In the twelfth O site, O(12) is bonded to one Mg(1), one Ti(3), one Ti(8), one Ni(2), and one Ni(8) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid, corners with two equivalent O(5)Ti2Ni2 trigonal pyramids,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid,  an edgeedge with one O(9)TiNi3 trigonal pyramid, and edges with two equivalent O(22)Ti2Ni2 trigonal pyramids. In the thirteenth O site, O(13) is bonded in a distorted see-saw-like geometry to one Ti(1), one Ti(6), one Ni(1), and one Ni(6) atom. In the fourteenth O site, O(14) is bonded to one Mg(1), one Ti(4), one Ti(7), one Ni(5), and one Ni(7) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid, corners with two equivalent O(2)Ti3Ni trigonal pyramids,  an edgeedge with one O(10)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(16)MgTi2Ni2 trigonal bipyramid, and  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid. In the fifteenth O site, O(15) is bonded in a distorted see-saw-like geometry to one Ti(4), one Ti(5), one Ni(5), and one Ni(6) atom. In the sixteenth O site, O(16) is bonded to one Mg(1), one Ti(1), one Ti(8), one Ni(1), and one Ni(7) atom to form distorted OMgTi2Ni2 trigonal bipyramids that share  a cornercorner with one O(10)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid,  an edgeedge with one O(12)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(14)MgTi2Ni2 trigonal bipyramid,  an edgeedge with one O(7)MgTiNi3 trigonal bipyramid,  an edgeedge with one O(2)Ti3Ni trigonal pyramid, and  an edgeedge with one O(9)TiNi3 trigonal pyramid. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one Ti(2), one Ti(8), one Ni(5), and one Ni(8) atom. In the eighteenth O site, O(18) is bonded in a distorted rectangular see-saw-like geometry to one Ti(2), one Ti(8), one Ni(3), and one Ni(6) atom. In the nineteenth O site, O(19) is bonded in a 5-coordinate geometry to one Mg(1), one Ti(3), one Ti(5), one Ni(2), and one Ni(7) atom. In the twentieth O site, O(20) is bonded to one Ti(3), one Ti(6), one Ni(5), and one Ni(6) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid,  an edgeedge with one O(5)Ti2Ni2 trigonal pyramid, and  an edgeedge with one O(6)Ti2Ni2 trigonal pyramid. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Ti(4), one Ti(7), one Ni(5), and one Ni(7) atom. In the twenty-second O site, O(22) is bonded to one Ti(3), one Ti(8), one Ni(2), and one Ni(8) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(10)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(16)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(20)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(23)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(1)Ti3Ni trigonal pyramid, corners with two equivalent O(9)TiNi3 trigonal pyramids, edges with two equivalent O(12)MgTi2Ni2 trigonal bipyramids, and  an edgeedge with one O(5)Ti2Ni2 trigonal pyramid. In the twenty-third O site, O(23) is bonded to one Ti(2), one Ti(7), one Ni(3), and one Ni(8) atom to form distorted OTi2Ni2 trigonal pyramids that share  a cornercorner with one O(12)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(14)MgTi2Ni2 trigonal bipyramid,  a cornercorner with one O(7)MgTiNi3 trigonal bipyramid,  a cornercorner with one O(22)Ti2Ni2 trigonal pyramid,  a cornercorner with one O(6)Ti2Ni2 trigonal pyramid,  an edgeedge with one O(4)Ti2Ni2 trigonal pyramid,  an edgeedge with one O(2)Ti3Ni trigonal pyramid, and  an edgeedge with one O(9)TiNi3 trigonal pyramid. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Ti(4), one Ti(6), one Ni(5), and one Ni(8) atom.