MgWCoZn2O6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(5), and one O(6) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra, edges with two equivalent W(1)O6 octahedra, and  an edgeedge with one Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. W(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form WO6 octahedra that share corners with four equivalent Zn(1)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and edges with two equivalent Mg(1)O5 trigonal bipyramids. Co(1) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(3), and one O(4) atom. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(2), one O(3), one O(4), and one O(6) atom to form distorted ZnO4 tetrahedra that share corners with four equivalent W(1)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 47-54°. In the second Zn site, Zn(2) is bonded in a distorted trigonal non-coplanar geometry to one O(1), one O(5), and one O(6) atom. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one W(1), one Co(1), and one Zn(2) atom to form corner-sharing OMgZnCoW trigonal pyramids. In the second O site, O(2) is bonded to one Mg(1), one W(1), one Co(1), and one Zn(1) atom to form distorted corner-sharing OMgZnCoW trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one W(1), one Co(1), and one Zn(1) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one W(1), one Co(1), and one Zn(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mg(1), one W(1), and one Zn(2) atom. In the sixth O site, O(6) is bonded in a distorted see-saw-like geometry to one Mg(1), one W(1), one Zn(1), and one Zn(2) atom.
MgWCoZn2O6 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(5), and one O(6) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one Zn(1)O4 tetrahedra, edges with two equivalent W(1)O6 octahedra, and  an edgeedge with one Zn(1)O4 tetrahedra. The corner-sharing octahedral tilt angles are 19°. The Mg(1)-O(1) bond length is 2.11 Å. The Mg(1)-O(2) bond length is 2.03 Å. The Mg(1)-O(3) bond length is 2.13 Å. The Mg(1)-O(5) bond length is 1.96 Å. The Mg(1)-O(6) bond length is 2.11 Å. W(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form WO6 octahedra that share corners with four equivalent Zn(1)O4 tetrahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The W(1)-O(1) bond length is 2.02 Å. The W(1)-O(2) bond length is 2.15 Å. The W(1)-O(3) bond length is 2.11 Å. The W(1)-O(4) bond length is 1.96 Å. The W(1)-O(5) bond length is 1.91 Å. The W(1)-O(6) bond length is 2.08 Å. Co(1) is bonded in a 4-coordinate geometry to one O(1), one O(2), one O(3), and one O(4) atom. The Co(1)-O(1) bond length is 2.10 Å. The Co(1)-O(2) bond length is 1.99 Å. The Co(1)-O(3) bond length is 2.23 Å. The Co(1)-O(4) bond length is 2.18 Å. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(2), one O(3), one O(4), and one O(6) atom to form distorted ZnO4 tetrahedra that share corners with four equivalent W(1)O6 octahedra,  a cornercorner with one Mg(1)O5 trigonal bipyramid, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 47-54°. The Zn(1)-O(2) bond length is 2.04 Å. The Zn(1)-O(3) bond length is 1.95 Å. The Zn(1)-O(4) bond length is 1.95 Å. The Zn(1)-O(6) bond length is 2.18 Å. In the second Zn site, Zn(2) is bonded in a distorted trigonal non-coplanar geometry to one O(1), one O(5), and one O(6) atom. The Zn(2)-O(1) bond length is 2.01 Å. The Zn(2)-O(5) bond length is 2.04 Å. The Zn(2)-O(6) bond length is 1.95 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one W(1), one Co(1), and one Zn(2) atom to form corner-sharing OMgZnCoW trigonal pyramids. In the second O site, O(2) is bonded to one Mg(1), one W(1), one Co(1), and one Zn(1) atom to form distorted corner-sharing OMgZnCoW trigonal pyramids. In the third O site, O(3) is bonded in a 4-coordinate geometry to one Mg(1), one W(1), one Co(1), and one Zn(1) atom. In the fourth O site, O(4) is bonded in a trigonal planar geometry to one W(1), one Co(1), and one Zn(1) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one Mg(1), one W(1), and one Zn(2) atom. In the sixth O site, O(6) is bonded in a distorted see-saw-like geometry to one Mg(1), one W(1), one Zn(1), and one Zn(2) atom.