Mg6WBi crystallizes in the orthorhombic Amm2 space group. There are six 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 Bi(1) atoms to form distorted MgMg8Bi2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10W2 cuboctahedra; corners with ten Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Bi2W2 cuboctahedra; edges with two equivalent W(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10W2 cuboctahedra; edges with four equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra. In the second 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 Bi(1) atoms to form distorted MgMg8Bi2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10W2 cuboctahedra; corners with ten Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Bi2W2 cuboctahedra; edges with two equivalent W(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10W2 cuboctahedra; edges with four equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra. In the third Mg site, Mg(2) 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 Bi(1) atoms. In the fourth Mg site, Mg(2) 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 Bi(1) atoms. In the fifth Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Bi(1) atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Bi2 cuboctahedra; edges with four equivalent Bi(1)Mg10W2 cuboctahedra; edges with eight Mg(1,1)Mg8Bi2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra; and faces with six equivalent W(1)Mg10Bi2 cuboctahedra. W(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Bi(1) atoms to form WMg10Bi2 cuboctahedra that share corners with four equivalent Bi(1)Mg10W2 cuboctahedra; corners with six equivalent W(1)Mg10Bi2 cuboctahedra; corners with eight Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent Bi(1)Mg10W2 cuboctahedra; edges with four Mg(1,1)Mg8Bi2W2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Bi2 cuboctahedra. Bi(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms to form BiMg10W2 cuboctahedra that share corners with four equivalent W(1)Mg10Bi2 cuboctahedra; corners with six equivalent Bi(1)Mg10W2 cuboctahedra; corners with eight Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent W(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(4)Mg10Bi2 cuboctahedra; edges with four Mg(1,1)Mg8Bi2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra.
Mg6WBi crystallizes in the orthorhombic Amm2 space group. There are six 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 Bi(1) atoms to form distorted MgMg8Bi2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10W2 cuboctahedra; corners with ten Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Bi2W2 cuboctahedra; edges with two equivalent W(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10W2 cuboctahedra; edges with four equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra. There is one shorter (3.02 Å) and one longer (3.07 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(2) bond lengths are 3.17 Å. Both Mg(1)-Mg(3) bond lengths are 3.16 Å. Both Mg(1)-Mg(4) bond lengths are 3.13 Å. There is one shorter (3.09 Å) and one longer (3.12 Å) Mg(1)-W(1) bond length. There is one shorter (3.09 Å) and one longer (3.13 Å) Mg(1)-Bi(1) bond length. In the second 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 Bi(1) atoms to form distorted MgMg8Bi2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Bi2 cuboctahedra; corners with four equivalent Bi(1)Mg10W2 cuboctahedra; corners with ten Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Bi2W2 cuboctahedra; edges with two equivalent W(1)Mg10Bi2 cuboctahedra; edges with two equivalent Bi(1)Mg10W2 cuboctahedra; edges with four equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.17 Å. Both Mg(1)-Mg(3) bond lengths are 3.16 Å. Both Mg(1)-Mg(4) bond lengths are 3.13 Å. There is one shorter (3.09 Å) and one longer (3.12 Å) Mg(1)-W(1) bond length. There is one shorter (3.09 Å) and one longer (3.13 Å) Mg(1)-Bi(1) bond length. In the third Mg site, Mg(2) 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 Bi(1) atoms. There is one shorter (2.84 Å) and one longer (3.26 Å) Mg(2)-Mg(2) bond length. There is one shorter (2.95 Å) and one longer (3.26 Å) Mg(2)-Mg(3) bond length. There is one shorter (3.04 Å) and one longer (3.18 Å) Mg(2)-Mg(4) bond length. Both Mg(2)-W(1) bond lengths are 3.08 Å. Both Mg(2)-Bi(1) bond lengths are 3.19 Å. In the fourth Mg site, Mg(2) 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 Bi(1) atoms. Both Mg(2)-Mg(1) bond lengths are 3.17 Å. There is one shorter (2.95 Å) and one longer (3.26 Å) Mg(2)-Mg(3) bond length. There is one shorter (3.04 Å) and one longer (3.18 Å) Mg(2)-Mg(4) bond length. Both Mg(2)-W(1) bond lengths are 3.08 Å. Both Mg(2)-Bi(1) bond lengths are 3.19 Å. In the fifth Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms. Both Mg(3)-Mg(4) bond lengths are 3.05 Å. Both Mg(3)-W(1) bond lengths are 3.12 Å. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Bi(1) atoms to form distorted MgMg10Bi2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Bi2 cuboctahedra; edges with four equivalent Bi(1)Mg10W2 cuboctahedra; edges with eight Mg(1,1)Mg8Bi2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra; and faces with six equivalent W(1)Mg10Bi2 cuboctahedra. Both Mg(4)-Bi(1) bond lengths are 3.17 Å. W(1) is bonded to two equivalent Mg(3); four Mg(1,1); four Mg(2,2); and two equivalent Bi(1) atoms to form WMg10Bi2 cuboctahedra that share corners with four equivalent Bi(1)Mg10W2 cuboctahedra; corners with six equivalent W(1)Mg10Bi2 cuboctahedra; corners with eight Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent Bi(1)Mg10W2 cuboctahedra; edges with four Mg(1,1)Mg8Bi2W2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Bi2 cuboctahedra. Both W(1)-Bi(1) bond lengths are 3.05 Å. Bi(1) is bonded to two equivalent Mg(4); four Mg(1,1); four Mg(2,2); and two equivalent W(1) atoms to form BiMg10W2 cuboctahedra that share corners with four equivalent W(1)Mg10Bi2 cuboctahedra; corners with six equivalent Bi(1)Mg10W2 cuboctahedra; corners with eight Mg(1,1)Mg8Bi2W2 cuboctahedra; edges with two equivalent W(1)Mg10Bi2 cuboctahedra; edges with four equivalent Mg(4)Mg10Bi2 cuboctahedra; edges with four Mg(1,1)Mg8Bi2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Bi2 cuboctahedra; faces with two equivalent W(1)Mg10Bi2 cuboctahedra; faces with two equivalent Bi(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Bi2W2 cuboctahedra.