Mg6WCd crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent W(1) atoms. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10W2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10W2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent W(1)Mg10Cd2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra. In the seventh Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. W(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form WMg10Cd2 cuboctahedra that share corners with six equivalent W(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3); and two equivalent W(1) atoms to form CdMg10W2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10W2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent W(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra.
Mg6WCd crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra. There is one shorter (3.07 Å) and one longer (3.11 Å) Mg(1)-Mg(1) bond length. There is one shorter (3.06 Å) and one longer (3.10 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.08 Å. Both Mg(1)-Mg(4) bond lengths are 3.06 Å. There is one shorter (3.04 Å) and one longer (3.12 Å) Mg(1)-W(1) bond length. Both Mg(1)-Cd(1) bond lengths are 3.07 Å. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent W(1) atoms. Both Mg(2)-Mg(4) bond lengths are 3.05 Å. The Mg(2)-Mg(1) bond length is 3.10 Å. All Mg(2)-Mg(3,3) bond lengths are 3.07 Å. Both Mg(2)-W(1) bond lengths are 3.09 Å. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. There is one shorter (2.91 Å) and one longer (3.26 Å) Mg(3)-Mg(3) bond length. There is one shorter (3.07 Å) and one longer (3.09 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-W(1) bond lengths are 2.97 Å. There is one shorter (2.92 Å) and one longer (3.24 Å) Mg(3)-Cd(1) bond length. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. Both Mg(3)-Mg(1) bond lengths are 3.08 Å. There is one shorter (3.07 Å) and one longer (3.09 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-W(1) bond lengths are 2.97 Å. There is one shorter (2.92 Å) and one longer (3.24 Å) Mg(3)-Cd(1) bond length. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10W2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10W2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent W(1)Mg10Cd2 cuboctahedra. Both Mg(4)-Mg(1) bond lengths are 3.06 Å. The Mg(4)-Mg(3) bond length is 3.09 Å. Both Mg(4)-Cd(1) bond lengths are 3.09 Å. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra. There is one shorter (3.07 Å) and one longer (3.11 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(3) bond lengths are 3.08 Å. There is one shorter (3.04 Å) and one longer (3.12 Å) Mg(1)-W(1) bond length. Both Mg(1)-Cd(1) bond lengths are 3.07 Å. In the seventh Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. Both Mg(3)-Mg(1) bond lengths are 3.08 Å. Both Mg(3)-Mg(2) bond lengths are 3.07 Å. There is one shorter (2.91 Å) and one longer (3.26 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-W(1) bond lengths are 2.97 Å. There is one shorter (2.92 Å) and one longer (3.24 Å) Mg(3)-Cd(1) bond length. W(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form WMg10Cd2 cuboctahedra that share corners with six equivalent W(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Both W(1)-Cd(1) bond lengths are 3.03 Å. Cd(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3); and two equivalent W(1) atoms to form CdMg10W2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10W2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent W(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra.