Mg(WO2)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(16), one O(3), and one O(4) atom to form MgO4 tetrahedra that share  a cornercorner with one W(10)O6 octahedra,  a cornercorner with one W(11)O6 octahedra,  a cornercorner with one W(8)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. In the second Mg site, Mg(2) is bonded to one O(10), one O(11), one O(2), and one O(5) atom to form MgO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with two equivalent W(5)O6 octahedra, corners with two equivalent W(9)O6 octahedra, and corners with three equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-60°. In the third Mg site, Mg(3) is bonded to one O(10), one O(11), one O(12), one O(5), one O(6), and one O(8) atom to form MgO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent W(7)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(4)O6 octahedra,  an edgeedge with one W(5)O6 octahedra, and  an edgeedge with one W(9)O6 octahedra. In the fourth Mg site, Mg(4) is bonded to one O(13), one O(18), one O(19), and one O(7) atom to form MgO4 tetrahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  a cornercorner with one W(9)O6 octahedra, corners with two equivalent W(10)O6 octahedra, corners with two equivalent W(11)O6 octahedra, corners with two equivalent W(8)O6 octahedra, and corners with three equivalent W(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-60°. In the fifth Mg site, Mg(5) is bonded to one O(1), one O(21), one O(22), one O(24), one O(3), and one O(4) atom to form MgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent W(12)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(10)O6 octahedra,  an edgeedge with one W(11)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(8)O6 octahedra. In the sixth Mg site, Mg(6) is bonded to one O(14), one O(15), one O(20), and one O(23) atom to form MgO4 tetrahedra that share  a cornercorner with one W(10)O6 octahedra,  a cornercorner with one W(11)O6 octahedra,  a cornercorner with one W(8)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with two equivalent W(5)O6 octahedra, corners with two equivalent W(9)O6 octahedra, and corners with three equivalent W(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-61°. There are twelve inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one W(12)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent W(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent W(2)O6 octahedra, and edges with two equivalent W(4)O6 octahedra. In the second W site, W(2) is bonded to one O(1), one O(12), one O(2), one O(4), one O(6), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one W(12)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent W(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with two equivalent W(4)O6 octahedra. In the third W site, W(3) is bonded to one O(10), one O(11), one O(14), one O(15), one O(17), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one W(7)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(5)O6 octahedra, and edges with two equivalent W(9)O6 octahedra. In the fourth W site, W(4) is bonded to one O(1), one O(12), one O(2), one O(3), one O(8), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one W(12)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent W(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with two equivalent W(2)O6 octahedra. In the fifth W site, W(5) is bonded to one O(11), one O(14), one O(17), one O(20), one O(5), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one W(7)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(3)O6 octahedra, and edges with two equivalent W(9)O6 octahedra. In the sixth W site, W(6) is bonded to one O(13), one O(14), one O(15), one O(18), one O(19), and one O(20) atom to form WO6 octahedra that share corners with three equivalent Mg(4)O4 tetrahedra, corners with three equivalent Mg(6)O4 tetrahedra,  an edgeedge with one W(10)O6 octahedra,  an edgeedge with one W(11)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(5)O6 octahedra,  an edgeedge with one W(8)O6 octahedra, and  an edgeedge with one W(9)O6 octahedra. In the seventh W site, W(7) is bonded to one O(12), one O(17), one O(6), and one O(8) atom to form WO4 tetrahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  a cornercorner with one W(9)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, and corners with three equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-66°. In the eighth W site, W(8) is bonded to one O(16), one O(18), one O(19), one O(21), one O(22), and one O(23) atom to form WO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent W(12)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(10)O6 octahedra, and edges with two equivalent W(11)O6 octahedra. In the ninth W site, W(9) is bonded to one O(10), one O(15), one O(17), one O(20), one O(5), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one W(7)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(3)O6 octahedra, and edges with two equivalent W(5)O6 octahedra. In the tenth W site, W(10) is bonded to one O(13), one O(16), one O(19), one O(21), one O(23), and one O(24) atom to form WO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent W(12)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(11)O6 octahedra, and edges with two equivalent W(8)O6 octahedra. In the eleventh W site, W(11) is bonded to one O(13), one O(16), one O(18), one O(22), one O(23), and one O(24) atom to form WO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent W(12)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(10)O6 octahedra, and edges with two equivalent W(8)O6 octahedra. In the twelfth W site, W(12) is bonded to one O(21), one O(22), one O(24), and one O(9) atom to form WO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(10)O6 octahedra, corners with two equivalent W(11)O6 octahedra, corners with two equivalent W(8)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-66°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), one W(2), and one W(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(2), one W(1), one W(2), and one W(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), one W(1), and one W(4) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), one W(1), and one W(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), one W(5), and one W(9) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(3), one W(1), one W(2), and one W(7) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(3), one W(5), and one W(9) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mg(3), one W(1), one W(4), and one W(7) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one W(1), one W(12), one W(2), and one W(4) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), one W(3), and one W(9) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), one W(3), and one W(5) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Mg(3), one W(2), one W(4), and one W(7) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(10), one W(11), and one W(6) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(3), one W(5), and one W(6) atom. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(3), one W(6), and one W(9) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Mg(1), one W(10), one W(11), and one W(8) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one W(3), one W(5), one W(7), and one W(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(11), one W(6), and one W(8) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(10), one W(6), and one W(8) atom. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(5), one W(6), and one W(9) atom. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Mg(5), one W(10), one W(12), and one W(8) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one Mg(5), one W(11), one W(12), and one W(8) atom. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(10), one W(11), and one W(8) atom. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Mg(5), one W(10), one W(11), and one W(12) atom.
Mg(WO2)2 is Spinel-like structured and crystallizes in the triclinic P1 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one O(1), one O(16), one O(3), and one O(4) atom to form MgO4 tetrahedra that share  a cornercorner with one W(10)O6 octahedra,  a cornercorner with one W(11)O6 octahedra,  a cornercorner with one W(8)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-62°. The Mg(1)-O(1) bond length is 2.06 Å. The Mg(1)-O(16) bond length is 2.07 Å. The Mg(1)-O(3) bond length is 2.08 Å. The Mg(1)-O(4) bond length is 2.08 Å. In the second Mg site, Mg(2) is bonded to one O(10), one O(11), one O(2), and one O(5) atom to form MgO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with two equivalent W(5)O6 octahedra, corners with two equivalent W(9)O6 octahedra, and corners with three equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-60°. The Mg(2)-O(10) bond length is 2.07 Å. The Mg(2)-O(11) bond length is 2.06 Å. The Mg(2)-O(2) bond length is 2.09 Å. The Mg(2)-O(5) bond length is 2.06 Å. In the third Mg site, Mg(3) is bonded to one O(10), one O(11), one O(12), one O(5), one O(6), and one O(8) atom to form MgO6 octahedra that share corners with three equivalent Mg(2)O4 tetrahedra, corners with three equivalent W(7)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(4)O6 octahedra,  an edgeedge with one W(5)O6 octahedra, and  an edgeedge with one W(9)O6 octahedra. The Mg(3)-O(10) bond length is 2.17 Å. The Mg(3)-O(11) bond length is 2.13 Å. The Mg(3)-O(12) bond length is 2.21 Å. The Mg(3)-O(5) bond length is 2.13 Å. The Mg(3)-O(6) bond length is 2.22 Å. The Mg(3)-O(8) bond length is 2.10 Å. In the fourth Mg site, Mg(4) is bonded to one O(13), one O(18), one O(19), and one O(7) atom to form MgO4 tetrahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  a cornercorner with one W(9)O6 octahedra, corners with two equivalent W(10)O6 octahedra, corners with two equivalent W(11)O6 octahedra, corners with two equivalent W(8)O6 octahedra, and corners with three equivalent W(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-60°. The Mg(4)-O(13) bond length is 2.08 Å. The Mg(4)-O(18) bond length is 2.10 Å. The Mg(4)-O(19) bond length is 2.07 Å. The Mg(4)-O(7) bond length is 2.04 Å. In the fifth Mg site, Mg(5) is bonded to one O(1), one O(21), one O(22), one O(24), one O(3), and one O(4) atom to form MgO6 octahedra that share corners with three equivalent Mg(1)O4 tetrahedra, corners with three equivalent W(12)O4 tetrahedra,  an edgeedge with one W(1)O6 octahedra,  an edgeedge with one W(10)O6 octahedra,  an edgeedge with one W(11)O6 octahedra,  an edgeedge with one W(2)O6 octahedra,  an edgeedge with one W(4)O6 octahedra, and  an edgeedge with one W(8)O6 octahedra. The Mg(5)-O(1) bond length is 2.15 Å. The Mg(5)-O(21) bond length is 2.20 Å. The Mg(5)-O(22) bond length is 2.13 Å. The Mg(5)-O(24) bond length is 2.24 Å. The Mg(5)-O(3) bond length is 2.16 Å. The Mg(5)-O(4) bond length is 2.13 Å. In the sixth Mg site, Mg(6) is bonded to one O(14), one O(15), one O(20), and one O(23) atom to form MgO4 tetrahedra that share  a cornercorner with one W(10)O6 octahedra,  a cornercorner with one W(11)O6 octahedra,  a cornercorner with one W(8)O6 octahedra, corners with two equivalent W(3)O6 octahedra, corners with two equivalent W(5)O6 octahedra, corners with two equivalent W(9)O6 octahedra, and corners with three equivalent W(6)O6 octahedra. The corner-sharing octahedral tilt angles range from 53-61°. The Mg(6)-O(14) bond length is 2.06 Å. The Mg(6)-O(15) bond length is 2.08 Å. The Mg(6)-O(20) bond length is 2.07 Å. The Mg(6)-O(23) bond length is 2.09 Å. There are twelve inequivalent W sites. In the first W site, W(1) is bonded to one O(2), one O(3), one O(4), one O(6), one O(8), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one W(12)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent W(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent W(2)O6 octahedra, and edges with two equivalent W(4)O6 octahedra. The W(1)-O(2) bond length is 2.18 Å. The W(1)-O(3) bond length is 2.18 Å. The W(1)-O(4) bond length is 2.20 Å. The W(1)-O(6) bond length is 2.16 Å. The W(1)-O(8) bond length is 2.21 Å. The W(1)-O(9) bond length is 2.21 Å. In the second W site, W(2) is bonded to one O(1), one O(12), one O(2), one O(4), one O(6), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one W(12)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent W(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with two equivalent W(4)O6 octahedra. The W(2)-O(1) bond length is 2.18 Å. The W(2)-O(12) bond length is 2.21 Å. The W(2)-O(2) bond length is 2.20 Å. The W(2)-O(4) bond length is 2.18 Å. The W(2)-O(6) bond length is 2.21 Å. The W(2)-O(9) bond length is 2.17 Å. In the third W site, W(3) is bonded to one O(10), one O(11), one O(14), one O(15), one O(17), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one W(7)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(5)O6 octahedra, and edges with two equivalent W(9)O6 octahedra. The W(3)-O(10) bond length is 2.18 Å. The W(3)-O(11) bond length is 2.19 Å. The W(3)-O(14) bond length is 2.23 Å. The W(3)-O(15) bond length is 2.22 Å. The W(3)-O(17) bond length is 2.21 Å. The W(3)-O(7) bond length is 2.19 Å. In the fourth W site, W(4) is bonded to one O(1), one O(12), one O(2), one O(3), one O(8), and one O(9) atom to form WO6 octahedra that share  a cornercorner with one Mg(2)O4 tetrahedra,  a cornercorner with one W(12)O4 tetrahedra, corners with two equivalent Mg(1)O4 tetrahedra, corners with two equivalent W(7)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one Mg(5)O6 octahedra, edges with two equivalent W(1)O6 octahedra, and edges with two equivalent W(2)O6 octahedra. The W(4)-O(1) bond length is 2.20 Å. The W(4)-O(12) bond length is 2.16 Å. The W(4)-O(2) bond length is 2.18 Å. The W(4)-O(3) bond length is 2.18 Å. The W(4)-O(8) bond length is 2.22 Å. The W(4)-O(9) bond length is 2.22 Å. In the fifth W site, W(5) is bonded to one O(11), one O(14), one O(17), one O(20), one O(5), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one W(7)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(3)O6 octahedra, and edges with two equivalent W(9)O6 octahedra. The W(5)-O(11) bond length is 2.18 Å. The W(5)-O(14) bond length is 2.22 Å. The W(5)-O(17) bond length is 2.17 Å. The W(5)-O(20) bond length is 2.22 Å. The W(5)-O(5) bond length is 2.18 Å. The W(5)-O(7) bond length is 2.20 Å. In the sixth W site, W(6) is bonded to one O(13), one O(14), one O(15), one O(18), one O(19), and one O(20) atom to form WO6 octahedra that share corners with three equivalent Mg(4)O4 tetrahedra, corners with three equivalent Mg(6)O4 tetrahedra,  an edgeedge with one W(10)O6 octahedra,  an edgeedge with one W(11)O6 octahedra,  an edgeedge with one W(3)O6 octahedra,  an edgeedge with one W(5)O6 octahedra,  an edgeedge with one W(8)O6 octahedra, and  an edgeedge with one W(9)O6 octahedra. The W(6)-O(13) bond length is 2.23 Å. The W(6)-O(14) bond length is 2.19 Å. The W(6)-O(15) bond length is 2.20 Å. The W(6)-O(18) bond length is 2.22 Å. The W(6)-O(19) bond length is 2.22 Å. The W(6)-O(20) bond length is 2.19 Å. In the seventh W site, W(7) is bonded to one O(12), one O(17), one O(6), and one O(8) atom to form WO4 tetrahedra that share  a cornercorner with one W(3)O6 octahedra,  a cornercorner with one W(5)O6 octahedra,  a cornercorner with one W(9)O6 octahedra, corners with two equivalent W(1)O6 octahedra, corners with two equivalent W(2)O6 octahedra, corners with two equivalent W(4)O6 octahedra, and corners with three equivalent Mg(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-66°. The W(7)-O(12) bond length is 2.12 Å. The W(7)-O(17) bond length is 2.13 Å. The W(7)-O(6) bond length is 2.11 Å. The W(7)-O(8) bond length is 2.11 Å. In the eighth W site, W(8) is bonded to one O(16), one O(18), one O(19), one O(21), one O(22), and one O(23) atom to form WO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent W(12)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(10)O6 octahedra, and edges with two equivalent W(11)O6 octahedra. The W(8)-O(16) bond length is 2.20 Å. The W(8)-O(18) bond length is 2.19 Å. The W(8)-O(19) bond length is 2.22 Å. The W(8)-O(21) bond length is 2.15 Å. The W(8)-O(22) bond length is 2.21 Å. The W(8)-O(23) bond length is 2.20 Å. In the ninth W site, W(9) is bonded to one O(10), one O(15), one O(17), one O(20), one O(5), and one O(7) atom to form WO6 octahedra that share  a cornercorner with one Mg(4)O4 tetrahedra,  a cornercorner with one W(7)O4 tetrahedra, corners with two equivalent Mg(2)O4 tetrahedra, corners with two equivalent Mg(6)O4 tetrahedra,  an edgeedge with one Mg(3)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(3)O6 octahedra, and edges with two equivalent W(5)O6 octahedra. The W(9)-O(10) bond length is 2.18 Å. The W(9)-O(15) bond length is 2.22 Å. The W(9)-O(17) bond length is 2.22 Å. The W(9)-O(20) bond length is 2.23 Å. The W(9)-O(5) bond length is 2.18 Å. The W(9)-O(7) bond length is 2.20 Å. In the tenth W site, W(10) is bonded to one O(13), one O(16), one O(19), one O(21), one O(23), and one O(24) atom to form WO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent W(12)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(11)O6 octahedra, and edges with two equivalent W(8)O6 octahedra. The W(10)-O(13) bond length is 2.20 Å. The W(10)-O(16) bond length is 2.22 Å. The W(10)-O(19) bond length is 2.19 Å. The W(10)-O(21) bond length is 2.19 Å. The W(10)-O(23) bond length is 2.21 Å. The W(10)-O(24) bond length is 2.20 Å. In the eleventh W site, W(11) is bonded to one O(13), one O(16), one O(18), one O(22), one O(23), and one O(24) atom to form WO6 octahedra that share  a cornercorner with one Mg(1)O4 tetrahedra,  a cornercorner with one Mg(6)O4 tetrahedra, corners with two equivalent Mg(4)O4 tetrahedra, corners with two equivalent W(12)O4 tetrahedra,  an edgeedge with one Mg(5)O6 octahedra,  an edgeedge with one W(6)O6 octahedra, edges with two equivalent W(10)O6 octahedra, and edges with two equivalent W(8)O6 octahedra. The W(11)-O(13) bond length is 2.22 Å. The W(11)-O(16) bond length is 2.19 Å. The W(11)-O(18) bond length is 2.19 Å. The W(11)-O(22) bond length is 2.21 Å. The W(11)-O(23) bond length is 2.20 Å. The W(11)-O(24) bond length is 2.16 Å. In the twelfth W site, W(12) is bonded to one O(21), one O(22), one O(24), and one O(9) atom to form WO4 tetrahedra that share  a cornercorner with one W(1)O6 octahedra,  a cornercorner with one W(2)O6 octahedra,  a cornercorner with one W(4)O6 octahedra, corners with two equivalent W(10)O6 octahedra, corners with two equivalent W(11)O6 octahedra, corners with two equivalent W(8)O6 octahedra, and corners with three equivalent Mg(5)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-66°. The W(12)-O(21) bond length is 2.11 Å. The W(12)-O(22) bond length is 2.11 Å. The W(12)-O(24) bond length is 2.13 Å. The W(12)-O(9) bond length is 2.12 Å. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), one W(2), and one W(4) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(2), one W(1), one W(2), and one W(4) atom. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), one W(1), and one W(4) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Mg(5), one W(1), and one W(2) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), one W(5), and one W(9) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Mg(3), one W(1), one W(2), and one W(7) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(3), one W(5), and one W(9) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Mg(3), one W(1), one W(4), and one W(7) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one W(1), one W(12), one W(2), and one W(4) atom. In the tenth O site, O(10) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), one W(3), and one W(9) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Mg(2), one Mg(3), one W(3), and one W(5) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Mg(3), one W(2), one W(4), and one W(7) atom. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(10), one W(11), and one W(6) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(3), one W(5), and one W(6) atom. In the fifteenth O site, O(15) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(3), one W(6), and one W(9) atom. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Mg(1), one W(10), one W(11), and one W(8) atom. In the seventeenth O site, O(17) is bonded in a rectangular see-saw-like geometry to one W(3), one W(5), one W(7), and one W(9) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(11), one W(6), and one W(8) atom. In the nineteenth O site, O(19) is bonded in a rectangular see-saw-like geometry to one Mg(4), one W(10), one W(6), and one W(8) atom. In the twentieth O site, O(20) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(5), one W(6), and one W(9) atom. In the twenty-first O site, O(21) is bonded in a rectangular see-saw-like geometry to one Mg(5), one W(10), one W(12), and one W(8) atom. In the twenty-second O site, O(22) is bonded in a rectangular see-saw-like geometry to one Mg(5), one W(11), one W(12), and one W(8) atom. In the twenty-third O site, O(23) is bonded in a rectangular see-saw-like geometry to one Mg(6), one W(10), one W(11), and one W(8) atom. In the twenty-fourth O site, O(24) is bonded in a rectangular see-saw-like geometry to one Mg(5), one W(10), one W(11), and one W(12) atom.