MgTi4Cr2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(3), one O(5), one O(7), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-43°. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(9) atom to form distorted TiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-58°. In the second Ti site, Ti(2) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(3), one O(5), one O(6), and one O(9) atom. In the third Ti site, Ti(3) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 32-58°. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 32-37°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(2), one O(4), one O(6), and one O(8) atom to form CrO6 octahedra that share corners with three equivalent Ti(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-58°. In the second Cr site, Cr(2) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(3), one O(5), and one O(7) atom. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Ti(3), one Ti(4), one Cr(1), and one Cr(2) atom to form distorted OMgTi2Cr2 trigonal bipyramids that share  a cornercorner with one O(4)Ti3Cr trigonal pyramid, corners with two equivalent O(2)Ti2Cr2 trigonal pyramids, edges with two equivalent O(3)MgTi3Cr trigonal bipyramids,  an edgeedge with one O(4)Ti3Cr trigonal pyramid, and  an edgeedge with one O(6)Ti3Cr trigonal pyramid. In the second O site, O(2) is bonded to one Ti(1), one Ti(2), one Cr(1), and one Cr(2) atom to form OTi2Cr2 trigonal pyramids that share corners with two equivalent O(1)MgTi2Cr2 trigonal bipyramids,  a cornercorner with one O(6)Ti3Cr trigonal pyramid,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(4)Ti3Cr trigonal pyramid, and  an edgeedge with one O(6)Ti3Cr trigonal pyramid. In the third O site, O(3) is bonded to one Mg(1), one Ti(2), one Ti(3), one Ti(4), and one Cr(2) atom to form distorted OMgTi3Cr trigonal bipyramids that share corners with two equivalent O(6)Ti3Cr trigonal pyramids, edges with two equivalent O(1)MgTi2Cr2 trigonal bipyramids,  an edgeedge with one O(2)Ti2Cr2 trigonal pyramid, and  an edgeedge with one O(4)Ti3Cr trigonal pyramid. In the fourth O site, O(4) is bonded to one Ti(1), one Ti(3), one Ti(4), and one Cr(1) atom to form OTi3Cr trigonal pyramids that share  a cornercorner with one O(1)MgTi2Cr2 trigonal bipyramid,  a cornercorner with one O(6)Ti3Cr trigonal pyramid,  an edgeedge with one O(1)MgTi2Cr2 trigonal bipyramid,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(2)Ti2Cr2 trigonal pyramid, and  an edgeedge with one O(6)Ti3Cr trigonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Ti(1), one Ti(2), one Ti(3), and one Cr(2) atom. In the sixth O site, O(6) is bonded to one Ti(1), one Ti(2), one Ti(4), and one Cr(1) atom to form OTi3Cr trigonal pyramids that share corners with two equivalent O(3)MgTi3Cr trigonal bipyramids,  a cornercorner with one O(2)Ti2Cr2 trigonal pyramid,  a cornercorner with one O(4)Ti3Cr trigonal pyramid,  an edgeedge with one O(1)MgTi2Cr2 trigonal bipyramid,  an edgeedge with one O(2)Ti2Cr2 trigonal pyramid, and  an edgeedge with one O(4)Ti3Cr trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ti(3), one Ti(4), and one Cr(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Ti(3), one Ti(4), and one Cr(1) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Ti(1), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Ti(1), one Ti(2), and one Cr(1) atom.
MgTi4Cr2O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(3), one O(5), one O(7), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Ti(4)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-43°. The Mg(1)-O(1) bond length is 2.06 Å. The Mg(1)-O(3) bond length is 2.13 Å. The Mg(1)-O(5) bond length is 2.19 Å. The Mg(1)-O(7) bond length is 2.08 Å. The Mg(1)-O(8) bond length is 2.07 Å. The Mg(1)-O(9) bond length is 2.04 Å. There are four inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(9) atom to form distorted TiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Ti(4)O6 octahedra, and edges with two equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 39-58°. The Ti(1)-O(10) bond length is 1.94 Å. The Ti(1)-O(2) bond length is 2.09 Å. The Ti(1)-O(4) bond length is 1.97 Å. The Ti(1)-O(5) bond length is 2.07 Å. The Ti(1)-O(6) bond length is 2.18 Å. The Ti(1)-O(9) bond length is 1.90 Å. In the second Ti site, Ti(2) is bonded in a 6-coordinate geometry to one O(10), one O(2), one O(3), one O(5), one O(6), and one O(9) atom. The Ti(2)-O(10) bond length is 1.82 Å. The Ti(2)-O(2) bond length is 2.05 Å. The Ti(2)-O(3) bond length is 2.05 Å. The Ti(2)-O(5) bond length is 2.43 Å. The Ti(2)-O(6) bond length is 2.07 Å. The Ti(2)-O(9) bond length is 1.98 Å. In the third Ti site, Ti(3) is bonded to one O(1), one O(3), one O(4), one O(5), one O(7), and one O(8) atom to form TiO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(4)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  a faceface with one Mg(1)O6 octahedra, and  a faceface with one Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 32-58°. The Ti(3)-O(1) bond length is 2.02 Å. The Ti(3)-O(3) bond length is 2.16 Å. The Ti(3)-O(4) bond length is 1.99 Å. The Ti(3)-O(5) bond length is 2.11 Å. The Ti(3)-O(7) bond length is 2.00 Å. The Ti(3)-O(8) bond length is 1.98 Å. In the fourth Ti site, Ti(4) is bonded to one O(1), one O(3), one O(4), one O(6), one O(7), and one O(8) atom to form distorted TiO6 octahedra that share corners with two equivalent Ti(3)O6 octahedra,  an edgeedge with one Ti(1)O6 octahedra, edges with two equivalent Mg(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Ti(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 32-37°. The Ti(4)-O(1) bond length is 2.23 Å. The Ti(4)-O(3) bond length is 2.27 Å. The Ti(4)-O(4) bond length is 2.14 Å. The Ti(4)-O(6) bond length is 1.97 Å. The Ti(4)-O(7) bond length is 1.91 Å. The Ti(4)-O(8) bond length is 1.90 Å. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(2), one O(4), one O(6), and one O(8) atom to form CrO6 octahedra that share corners with three equivalent Ti(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Ti(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-58°. The Cr(1)-O(1) bond length is 2.16 Å. The Cr(1)-O(10) bond length is 2.36 Å. The Cr(1)-O(2) bond length is 2.06 Å. The Cr(1)-O(4) bond length is 2.06 Å. The Cr(1)-O(6) bond length is 2.10 Å. The Cr(1)-O(8) bond length is 2.49 Å. In the second Cr site, Cr(2) is bonded in a 5-coordinate geometry to one O(1), one O(2), one O(3), one O(5), and one O(7) atom. The Cr(2)-O(1) bond length is 2.25 Å. The Cr(2)-O(2) bond length is 2.05 Å. The Cr(2)-O(3) bond length is 2.21 Å. The Cr(2)-O(5) bond length is 2.09 Å. The Cr(2)-O(7) bond length is 2.21 Å. There are ten inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one Ti(3), one Ti(4), one Cr(1), and one Cr(2) atom to form distorted OMgTi2Cr2 trigonal bipyramids that share  a cornercorner with one O(4)Ti3Cr trigonal pyramid, corners with two equivalent O(2)Ti2Cr2 trigonal pyramids, edges with two equivalent O(3)MgTi3Cr trigonal bipyramids,  an edgeedge with one O(4)Ti3Cr trigonal pyramid, and  an edgeedge with one O(6)Ti3Cr trigonal pyramid. In the second O site, O(2) is bonded to one Ti(1), one Ti(2), one Cr(1), and one Cr(2) atom to form OTi2Cr2 trigonal pyramids that share corners with two equivalent O(1)MgTi2Cr2 trigonal bipyramids,  a cornercorner with one O(6)Ti3Cr trigonal pyramid,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(4)Ti3Cr trigonal pyramid, and  an edgeedge with one O(6)Ti3Cr trigonal pyramid. In the third O site, O(3) is bonded to one Mg(1), one Ti(2), one Ti(3), one Ti(4), and one Cr(2) atom to form distorted OMgTi3Cr trigonal bipyramids that share corners with two equivalent O(6)Ti3Cr trigonal pyramids, edges with two equivalent O(1)MgTi2Cr2 trigonal bipyramids,  an edgeedge with one O(2)Ti2Cr2 trigonal pyramid, and  an edgeedge with one O(4)Ti3Cr trigonal pyramid. In the fourth O site, O(4) is bonded to one Ti(1), one Ti(3), one Ti(4), and one Cr(1) atom to form OTi3Cr trigonal pyramids that share  a cornercorner with one O(1)MgTi2Cr2 trigonal bipyramid,  a cornercorner with one O(6)Ti3Cr trigonal pyramid,  an edgeedge with one O(1)MgTi2Cr2 trigonal bipyramid,  an edgeedge with one O(3)MgTi3Cr trigonal bipyramid,  an edgeedge with one O(2)Ti2Cr2 trigonal pyramid, and  an edgeedge with one O(6)Ti3Cr trigonal pyramid. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Mg(1), one Ti(1), one Ti(2), one Ti(3), and one Cr(2) atom. In the sixth O site, O(6) is bonded to one Ti(1), one Ti(2), one Ti(4), and one Cr(1) atom to form OTi3Cr trigonal pyramids that share corners with two equivalent O(3)MgTi3Cr trigonal bipyramids,  a cornercorner with one O(2)Ti2Cr2 trigonal pyramid,  a cornercorner with one O(4)Ti3Cr trigonal pyramid,  an edgeedge with one O(1)MgTi2Cr2 trigonal bipyramid,  an edgeedge with one O(2)Ti2Cr2 trigonal pyramid, and  an edgeedge with one O(4)Ti3Cr trigonal pyramid. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Mg(1), one Ti(3), one Ti(4), and one Cr(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one Ti(3), one Ti(4), and one Cr(1) atom. In the ninth O site, O(9) is bonded in a 3-coordinate geometry to one Mg(1), one Ti(1), and one Ti(2) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Ti(1), one Ti(2), and one Cr(1) atom.