MgLu2W2(O4Cl)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(4), one O(6), one Cl(1), and one Cl(2) atom to form distorted MgCl2O4 octahedra that share  a cornercorner with one W(1)O5 trigonal bipyramid, corners with two equivalent W(2)O5 trigonal bipyramids, and  an edgeedge with one W(1)O5 trigonal bipyramid. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 6-coordinate geometry to one O(1), one O(3), one O(5), one O(7), one O(8), and one Cl(2) atom. In the second Lu site, Lu(2) is bonded in a 6-coordinate geometry to one O(2), one O(4), one O(6), one O(7), one O(8), and one Cl(1) atom. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(3), one O(4), one O(6), and one O(7) atom to form distorted WO5 trigonal bipyramids that share  a cornercorner with one Mg(1)Cl2O4 octahedra,  an edgeedge with one Mg(1)Cl2O4 octahedra, and  an edgeedge with one W(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. In the second W site, W(2) is bonded to one O(2), one O(3), one O(4), one O(5), and one O(8) atom to form distorted WO5 trigonal bipyramids that share corners with two equivalent Mg(1)Cl2O4 octahedra and  an edgeedge with one W(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 41-64°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Mg(1), one Lu(1), and one W(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Mg(1), one Lu(2), and one W(2) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Lu(1), one W(1), and one W(2) atom. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Mg(1), one Lu(2), one W(1), and one W(2) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Lu(1) and one W(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one Lu(2), and one W(1) atom. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one Lu(1), one Lu(2), and one W(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Lu(1), one Lu(2), and one W(2) atom. There are two inequivalent Cl sites. In the first Cl site, Cl(1) is bonded in a bent 120 degrees geometry to one Mg(1) and one Lu(2) atom. In the second Cl site, Cl(2) is bonded in a water-like geometry to one Mg(1) and one Lu(1) atom.
MgLu2W2(O4Cl)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(4), one O(6), one Cl(1), and one Cl(2) atom to form distorted MgCl2O4 octahedra that share  a cornercorner with one W(1)O5 trigonal bipyramid, corners with two equivalent W(2)O5 trigonal bipyramids, and  an edgeedge with one W(1)O5 trigonal bipyramid. The Mg(1)-O(1) bond length is 2.07 Å. The Mg(1)-O(2) bond length is 2.16 Å. The Mg(1)-O(4) bond length is 2.10 Å. The Mg(1)-O(6) bond length is 2.30 Å. The Mg(1)-Cl(1) bond length is 2.67 Å. The Mg(1)-Cl(2) bond length is 2.41 Å. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 6-coordinate geometry to one O(1), one O(3), one O(5), one O(7), one O(8), and one Cl(2) atom. The Lu(1)-O(1) bond length is 2.12 Å. The Lu(1)-O(3) bond length is 2.27 Å. The Lu(1)-O(5) bond length is 2.17 Å. The Lu(1)-O(7) bond length is 2.31 Å. The Lu(1)-O(8) bond length is 2.19 Å. The Lu(1)-Cl(2) bond length is 2.68 Å. In the second Lu site, Lu(2) is bonded in a 6-coordinate geometry to one O(2), one O(4), one O(6), one O(7), one O(8), and one Cl(1) atom. The Lu(2)-O(2) bond length is 2.13 Å. The Lu(2)-O(4) bond length is 2.32 Å. The Lu(2)-O(6) bond length is 2.30 Å. The Lu(2)-O(7) bond length is 2.13 Å. The Lu(2)-O(8) bond length is 2.28 Å. The Lu(2)-Cl(1) bond length is 2.63 Å. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(3), one O(4), one O(6), and one O(7) atom to form distorted WO5 trigonal bipyramids that share  a cornercorner with one Mg(1)Cl2O4 octahedra,  an edgeedge with one Mg(1)Cl2O4 octahedra, and  an edgeedge with one W(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 53°. The W(1)-O(1) bond length is 1.97 Å. The W(1)-O(3) bond length is 2.08 Å. The W(1)-O(4) bond length is 2.04 Å. The W(1)-O(6) bond length is 1.83 Å. The W(1)-O(7) bond length is 1.93 Å. In the second W site, W(2) is bonded to one O(2), one O(3), one O(4), one O(5), and one O(8) atom to form distorted WO5 trigonal bipyramids that share corners with two equivalent Mg(1)Cl2O4 octahedra and  an edgeedge with one W(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 41-64°. The W(2)-O(2) bond length is 1.94 Å. The W(2)-O(3) bond length is 1.99 Å. The W(2)-O(4) bond length is 2.20 Å. The W(2)-O(5) bond length is 1.82 Å. The W(2)-O(8) bond length is 1.95 Å. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Mg(1), one Lu(1), and one W(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Mg(1), one Lu(2), and one W(2) atom. In the third O site, O(3) is bonded in a distorted trigonal non-coplanar geometry to one Lu(1), one W(1), and one W(2) atom. In the fourth O site, O(4) is bonded in a distorted see-saw-like geometry to one Mg(1), one Lu(2), one W(1), and one W(2) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Lu(1) and one W(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one Lu(2), and one W(1) atom. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one Lu(1), one Lu(2), and one W(1) atom. In the eighth O site, O(8) is bonded in a distorted trigonal non-coplanar geometry to one Lu(1), one Lu(2), and one W(2) atom. There are two inequivalent Cl sites. In the first Cl site, Cl(1) is bonded in a bent 120 degrees geometry to one Mg(1) and one Lu(2) atom. In the second Cl site, Cl(2) is bonded in a water-like geometry to one Mg(1) and one Lu(1) atom.