MgTi4Cr2O10 crystallizes in the triclinic P-1 space group. Mg(1) is bonded in a square co-planar geometry to two equivalent O(3) and two equivalent O(4) atoms. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form distorted TiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-61°. In the second Ti site, Ti(2) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(2) atoms to form distorted TiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-55°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with six equivalent Ti(2)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with six equivalent Ti(1)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-61°. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Ti(1), one Ti(2), one Cr(1), and one Cr(2) atom to form OTi2Cr2 trigonal pyramids that share  a cornercorner with one O(3)MgTi3Cr trigonal bipyramid,  a cornercorner with one O(2)Ti3Cr trigonal pyramid, corners with two equivalent O(1)Ti2Cr2 trigonal pyramids, edges with two equivalent O(3)MgTi3Cr trigonal bipyramids, and edges with two equivalent O(2)Ti3Cr trigonal pyramids. In the second O site, O(2) is bonded to one Ti(1), two equivalent Ti(2), and one Cr(2) atom to form OTi3Cr trigonal pyramids that share corners with two equivalent O(3)MgTi3Cr trigonal bipyramids,  a cornercorner with one O(1)Ti2Cr2 trigonal pyramid,  a cornercorner with one O(2)Ti3Cr trigonal pyramid,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(2)Ti3Cr trigonal pyramid, and edges with two equivalent O(1)Ti2Cr2 trigonal pyramids. In the third O site, O(3) is bonded to one Mg(1), one Ti(2), two equivalent Ti(1), and one Cr(1) atom to form distorted OMgTi3Cr trigonal bipyramids that share corners with two equivalent O(3)MgTi3Cr trigonal bipyramids,  a cornercorner with one O(1)Ti2Cr2 trigonal pyramid, corners with two equivalent O(2)Ti3Cr trigonal pyramids,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(2)Ti3Cr trigonal pyramid, and edges with two equivalent O(1)Ti2Cr2 trigonal pyramids. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ti(1), one Ti(2), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to one Ti(1), one Ti(2), and one Cr(1) atom.
MgTi4Cr2O10 crystallizes in the triclinic P-1 space group. Mg(1) is bonded in a square co-planar geometry to two equivalent O(3) and two equivalent O(4) atoms. Both Mg(1)-O(3) bond lengths are 1.92 Å. Both Mg(1)-O(4) bond lengths are 2.04 Å. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(3) atoms to form distorted TiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with four equivalent Ti(2)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-61°. The Ti(1)-O(1) bond length is 2.09 Å. The Ti(1)-O(2) bond length is 2.00 Å. The Ti(1)-O(4) bond length is 1.93 Å. The Ti(1)-O(5) bond length is 1.93 Å. There is one shorter (2.10 Å) and one longer (2.19 Å) Ti(1)-O(3) bond length. In the second Ti site, Ti(2) is bonded to one O(1), one O(3), one O(4), one O(5), and two equivalent O(2) atoms to form distorted TiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  a faceface with one Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-55°. The Ti(2)-O(1) bond length is 2.04 Å. The Ti(2)-O(3) bond length is 2.23 Å. The Ti(2)-O(4) bond length is 2.04 Å. The Ti(2)-O(5) bond length is 1.86 Å. There is one shorter (1.93 Å) and one longer (2.25 Å) Ti(2)-O(2) bond length. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with six equivalent Ti(2)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-61°. Both Cr(1)-O(1) bond lengths are 2.14 Å. Both Cr(1)-O(3) bond lengths are 2.10 Å. Both Cr(1)-O(5) bond lengths are 2.45 Å. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with six equivalent Ti(1)O6 octahedra, and edges with four equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-61°. Both Cr(2)-O(1) bond lengths are 2.11 Å. Both Cr(2)-O(2) bond lengths are 2.08 Å. Both Cr(2)-O(4) bond lengths are 2.53 Å. There are five inequivalent O sites. In the first O site, O(1) is bonded to one Ti(1), one Ti(2), one Cr(1), and one Cr(2) atom to form OTi2Cr2 trigonal pyramids that share  a cornercorner with one O(3)MgTi3Cr trigonal bipyramid,  a cornercorner with one O(2)Ti3Cr trigonal pyramid, corners with two equivalent O(1)Ti2Cr2 trigonal pyramids, edges with two equivalent O(3)MgTi3Cr trigonal bipyramids, and edges with two equivalent O(2)Ti3Cr trigonal pyramids. In the second O site, O(2) is bonded to one Ti(1), two equivalent Ti(2), and one Cr(2) atom to form OTi3Cr trigonal pyramids that share corners with two equivalent O(3)MgTi3Cr trigonal bipyramids,  a cornercorner with one O(1)Ti2Cr2 trigonal pyramid,  a cornercorner with one O(2)Ti3Cr trigonal pyramid,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(2)Ti3Cr trigonal pyramid, and edges with two equivalent O(1)Ti2Cr2 trigonal pyramids. In the third O site, O(3) is bonded to one Mg(1), one Ti(2), two equivalent Ti(1), and one Cr(1) atom to form distorted OMgTi3Cr trigonal bipyramids that share corners with two equivalent O(3)MgTi3Cr trigonal bipyramids,  a cornercorner with one O(1)Ti2Cr2 trigonal pyramid, corners with two equivalent O(2)Ti3Cr trigonal pyramids,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(2)Ti3Cr trigonal pyramid, and edges with two equivalent O(1)Ti2Cr2 trigonal pyramids. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ti(1), one Ti(2), and one Cr(2) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to one Ti(1), one Ti(2), and one Cr(1) atom.