MgGa4(WO6)2 crystallizes in the monoclinic P2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form distorted MgO6 octahedra that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and faces with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form WO6 octahedra that share corners with four equivalent Ga(3)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-56°. In the second W site, W(2) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. In the second Ga site, Ga(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. In the third Ga site, Ga(3) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and faces with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. In the fourth Ga site, Ga(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one W(1), one Ga(1), and one Ga(3) atom to form a mixture of distorted corner and edge-sharing OMgGa2W trigonal pyramids. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one W(1), one Ga(2), and one Ga(4) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(1), and one Ga(2) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one W(1), one Ga(3), and one Ga(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(1), one W(2), one Ga(1), and one Ga(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(2), and one Ga(4) atom.
MgGa4(WO6)2 crystallizes in the monoclinic P2 space group. Mg(1) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form distorted MgO6 octahedra that share corners with two equivalent W(2)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, edges with two equivalent W(1)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and faces with two equivalent Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-49°. Both Mg(1)-O(1) bond lengths are 1.90 Å. Both Mg(1)-O(4) bond lengths are 2.27 Å. Both Mg(1)-O(5) bond lengths are 1.98 Å. There are two inequivalent W sites. In the first W site, W(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form WO6 octahedra that share corners with four equivalent Ga(3)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-56°. Both W(1)-O(1) bond lengths are 2.08 Å. Both W(1)-O(2) bond lengths are 1.96 Å. Both W(1)-O(4) bond lengths are 2.02 Å. In the second W site, W(2) is bonded to two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. Both W(2)-O(3) bond lengths are 2.00 Å. Both W(2)-O(5) bond lengths are 2.10 Å. Both W(2)-O(6) bond lengths are 1.99 Å. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(3)O6 octahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra, and edges with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 45-56°. Both Ga(1)-O(1) bond lengths are 2.09 Å. Both Ga(1)-O(3) bond lengths are 1.94 Å. Both Ga(1)-O(5) bond lengths are 2.08 Å. In the second Ga site, Ga(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with four equivalent W(2)O6 octahedra, corners with four equivalent Ga(4)O6 octahedra,  an edgeedge with one W(1)O6 octahedra, and  an edgeedge with one Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-51°. Both Ga(2)-O(2) bond lengths are 2.03 Å. Both Ga(2)-O(3) bond lengths are 2.03 Å. Both Ga(2)-O(6) bond lengths are 2.08 Å. In the third Ga site, Ga(3) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(5) atoms to form GaO6 octahedra that share corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one Ga(4)O6 octahedra, and faces with two equivalent Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-53°. Both Ga(3)-O(1) bond lengths are 2.05 Å. Both Ga(3)-O(4) bond lengths are 1.98 Å. Both Ga(3)-O(5) bond lengths are 2.03 Å. In the fourth Ga site, Ga(4) is bonded to two equivalent O(2), two equivalent O(4), and two equivalent O(6) atoms to form GaO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with four equivalent W(1)O6 octahedra, corners with four equivalent Ga(2)O6 octahedra,  an edgeedge with one W(2)O6 octahedra, and  an edgeedge with one Ga(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. Both Ga(4)-O(2) bond lengths are 2.03 Å. Both Ga(4)-O(4) bond lengths are 2.18 Å. Both Ga(4)-O(6) bond lengths are 1.98 Å. There are six inequivalent O sites. In the first O site, O(1) is bonded to one Mg(1), one W(1), one Ga(1), and one Ga(3) atom to form a mixture of distorted corner and edge-sharing OMgGa2W trigonal pyramids. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one W(1), one Ga(2), and one Ga(4) atom. In the third O site, O(3) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(1), and one Ga(2) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one Mg(1), one W(1), one Ga(3), and one Ga(4) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one Mg(1), one W(2), one Ga(1), and one Ga(3) atom. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one W(2), one Ga(2), and one Ga(4) atom.