MgTe(WO4)3 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(12), one O(2), one O(6), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent W(3)O6 octahedra and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-60°. There are three inequivalent W sites. In the first W site, W(1) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom. In the second W site, W(2) is bonded to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share corners with four equivalent W(3)O6 octahedra and  an edgeedge with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-35°. In the third W site, W(3) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(8) atom to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with four equivalent W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-60°. Te(1) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(9) atom. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one W(1), and one Te(1) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Mg(1), one W(1), and one W(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one W(2) and one W(3) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one W(1) and one Te(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one W(2) and one W(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one W(2), and one Te(1) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one W(2) and one Te(1) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one W(2) and one W(3) atom. In the ninth O site, O(9) is bonded in a distorted water-like geometry to one Mg(1), one W(1), and one Te(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Mg(1), one W(2), and one W(3) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one W(1) and one W(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(1), and one Te(1) atom.
MgTe(WO4)3 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(1), one O(10), one O(12), one O(2), one O(6), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent W(3)O6 octahedra and  an edgeedge with one W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-60°. The Mg(1)-O(1) bond length is 2.12 Å. The Mg(1)-O(10) bond length is 2.18 Å. The Mg(1)-O(12) bond length is 2.07 Å. The Mg(1)-O(2) bond length is 2.12 Å. The Mg(1)-O(6) bond length is 2.04 Å. The Mg(1)-O(9) bond length is 2.08 Å. There are three inequivalent W sites. In the first W site, W(1) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(12), one O(2), one O(4), and one O(9) atom. The W(1)-O(1) bond length is 1.81 Å. The W(1)-O(11) bond length is 1.84 Å. The W(1)-O(12) bond length is 2.11 Å. The W(1)-O(2) bond length is 2.47 Å. The W(1)-O(4) bond length is 1.99 Å. The W(1)-O(9) bond length is 1.83 Å. In the second W site, W(2) is bonded to one O(10), one O(3), one O(5), one O(6), one O(7), and one O(8) atom to form distorted WO6 octahedra that share corners with four equivalent W(3)O6 octahedra and  an edgeedge with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-35°. The W(2)-O(10) bond length is 2.27 Å. The W(2)-O(3) bond length is 1.84 Å. The W(2)-O(5) bond length is 1.85 Å. The W(2)-O(6) bond length is 1.84 Å. The W(2)-O(7) bond length is 1.96 Å. The W(2)-O(8) bond length is 2.17 Å. In the third W site, W(3) is bonded to one O(10), one O(11), one O(2), one O(3), one O(5), and one O(8) atom to form WO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra and corners with four equivalent W(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-60°. The W(3)-O(10) bond length is 1.88 Å. The W(3)-O(11) bond length is 2.08 Å. The W(3)-O(2) bond length is 1.86 Å. The W(3)-O(3) bond length is 2.07 Å. The W(3)-O(5) bond length is 2.10 Å. The W(3)-O(8) bond length is 1.84 Å. Te(1) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(4), one O(6), one O(7), and one O(9) atom. The Te(1)-O(1) bond length is 2.48 Å. The Te(1)-O(12) bond length is 1.95 Å. The Te(1)-O(4) bond length is 1.95 Å. The Te(1)-O(6) bond length is 2.53 Å. The Te(1)-O(7) bond length is 1.95 Å. The Te(1)-O(9) bond length is 2.60 Å. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Mg(1), one W(1), and one Te(1) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one Mg(1), one W(1), and one W(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one W(2) and one W(3) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one W(1) and one Te(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one W(2) and one W(3) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mg(1), one W(2), and one Te(1) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one W(2) and one Te(1) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one W(2) and one W(3) atom. In the ninth O site, O(9) is bonded in a distorted water-like geometry to one Mg(1), one W(1), and one Te(1) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Mg(1), one W(2), and one W(3) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one W(1) and one W(3) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one Mg(1), one W(1), and one Te(1) atom.