MgAgAl(WO4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(4), and one O(5) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one W(2)O6 octahedra, corners with three equivalent Al(1)O5 trigonal bipyramids,  an edgeedge with one W(2)O6 octahedra, and edges with two equivalent W(1)O6 octahedra. The corner-sharing octahedral tilt angles are 76°. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form distorted WO6 octahedra that share corners with three equivalent Al(1)O5 trigonal bipyramids, edges with two equivalent W(2)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. In the second W site, W(2) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with three equivalent Al(1)O5 trigonal bipyramids, edges with two equivalent W(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. Ag(1) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(6), one O(7), and one O(8) atom. Al(1) is bonded to one O(1), one O(2), one O(5), one O(6), and one O(8) atom to form AlO5 trigonal bipyramids that share corners with three equivalent W(1)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with three equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 24-53°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one W(1), one Ag(1), and one Al(1) atom. In the second O site, O(2) is bonded in a distorted tetrahedral geometry to one Mg(1), one W(1), one Ag(1), and one Al(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one W(1), one W(2), and one Ag(1) atom. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Mg(1), one W(1), and one W(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(2), and one Al(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one W(2), one Ag(1), and one Al(1) atom. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one W(1), one W(2), and one Ag(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one W(1), one W(2), one Ag(1), and one Al(1) atom.
MgAgAl(WO4)2 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(2), one O(3), one O(4), and one O(5) atom to form distorted MgO5 trigonal bipyramids that share  a cornercorner with one W(2)O6 octahedra, corners with three equivalent Al(1)O5 trigonal bipyramids,  an edgeedge with one W(2)O6 octahedra, and edges with two equivalent W(1)O6 octahedra. The corner-sharing octahedral tilt angles are 76°. The Mg(1)-O(1) bond length is 2.13 Å. The Mg(1)-O(2) bond length is 2.09 Å. The Mg(1)-O(3) bond length is 2.00 Å. The Mg(1)-O(4) bond length is 2.25 Å. The Mg(1)-O(5) bond length is 2.03 Å. There are two inequivalent W sites. In the first W site, W(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(7), and one O(8) atom to form distorted WO6 octahedra that share corners with three equivalent Al(1)O5 trigonal bipyramids, edges with two equivalent W(2)O6 octahedra, and edges with two equivalent Mg(1)O5 trigonal bipyramids. The W(1)-O(1) bond length is 1.99 Å. The W(1)-O(2) bond length is 2.03 Å. The W(1)-O(3) bond length is 2.14 Å. The W(1)-O(4) bond length is 1.94 Å. The W(1)-O(7) bond length is 1.91 Å. The W(1)-O(8) bond length is 2.38 Å. In the second W site, W(2) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share  a cornercorner with one Mg(1)O5 trigonal bipyramid, corners with three equivalent Al(1)O5 trigonal bipyramids, edges with two equivalent W(1)O6 octahedra, and  an edgeedge with one Mg(1)O5 trigonal bipyramid. The W(2)-O(3) bond length is 2.01 Å. The W(2)-O(4) bond length is 2.08 Å. The W(2)-O(5) bond length is 2.01 Å. The W(2)-O(6) bond length is 1.87 Å. The W(2)-O(7) bond length is 2.10 Å. The W(2)-O(8) bond length is 2.09 Å. Ag(1) is bonded in a 6-coordinate geometry to one O(1), one O(2), one O(3), one O(6), one O(7), and one O(8) atom. The Ag(1)-O(1) bond length is 2.53 Å. The Ag(1)-O(2) bond length is 2.23 Å. The Ag(1)-O(3) bond length is 2.76 Å. The Ag(1)-O(6) bond length is 2.42 Å. The Ag(1)-O(7) bond length is 2.17 Å. The Ag(1)-O(8) bond length is 2.68 Å. Al(1) is bonded to one O(1), one O(2), one O(5), one O(6), and one O(8) atom to form AlO5 trigonal bipyramids that share corners with three equivalent W(1)O6 octahedra, corners with three equivalent W(2)O6 octahedra, and corners with three equivalent Mg(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 24-53°. The Al(1)-O(1) bond length is 1.93 Å. The Al(1)-O(2) bond length is 1.94 Å. The Al(1)-O(5) bond length is 1.88 Å. The Al(1)-O(6) bond length is 1.92 Å. The Al(1)-O(8) bond length is 1.88 Å. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one W(1), one Ag(1), and one Al(1) atom. In the second O site, O(2) is bonded in a distorted tetrahedral geometry to one Mg(1), one W(1), one Ag(1), and one Al(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mg(1), one W(1), one W(2), and one Ag(1) atom. In the fourth O site, O(4) is bonded in a trigonal non-coplanar geometry to one Mg(1), one W(1), and one W(2) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(2), and one Al(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one W(2), one Ag(1), and one Al(1) atom. In the seventh O site, O(7) is bonded in a trigonal non-coplanar geometry to one W(1), one W(2), and one Ag(1) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one W(1), one W(2), one Ag(1), and one Al(1) atom.