Mg14WMn 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(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent W(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10W2 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10W2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent W(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent W(1), and two equivalent Mn(1) atoms to form distorted MgMg8Mn2W2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent W(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with two equivalent W(1)Mg10Mn2 cuboctahedra, and faces with two equivalent Mn(1)Mg10W2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, corners with four equivalent W(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10W2 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one W(1), and one Mn(1) atom. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with six equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with three equivalent W(1)Mg10Mn2 cuboctahedra. In the seventh Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one W(1) atom. W(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form WMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent W(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10W2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Mn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent W(1) atoms to form MnMg10W2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Mg10W2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent W(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent W(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra.
Mg14WMn 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(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent W(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10W2 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.07 Å. Both Mg(1)-Mg(6) bond lengths are 3.10 Å. There are two shorter (3.12 Å) and two longer (3.16 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.19 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mn(1)Mg10W2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent W(1)Mg10Mn2 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.12 Å. There are two shorter (3.12 Å) and two longer (3.15 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.17 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent W(1), and two equivalent Mn(1) atoms to form distorted MgMg8Mn2W2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra, edges with two equivalent W(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with two equivalent W(1)Mg10Mn2 cuboctahedra, and faces with two equivalent Mn(1)Mg10W2 cuboctahedra. There is one shorter (3.07 Å) and one longer (3.08 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 2.99 Å. Both Mg(3)-Mg(6) bond lengths are 3.05 Å. Both Mg(3)-Mg(7) bond lengths are 3.03 Å. There is one shorter (3.09 Å) and one longer (3.18 Å) Mg(3)-W(1) bond length. Both Mg(3)-Mn(1) bond lengths are 3.14 Å. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, corners with four equivalent W(1)Mg10Mn2 cuboctahedra, corners with four equivalent Mn(1)Mg10W2 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra. There is one shorter (3.07 Å) and one longer (3.08 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.22 Å. Both Mg(4)-Mg(6) bond lengths are 3.14 Å. Both Mg(4)-Mg(7) bond lengths are 3.16 Å. In the fifth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one W(1), and one Mn(1) atom. There is one shorter (3.03 Å) and one longer (3.12 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.07 Å) and one longer (3.21 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.03 Å) and one longer (3.24 Å) Mg(5)-Mg(7) bond length. The Mg(5)-W(1) bond length is 2.95 Å. The Mg(5)-Mn(1) bond length is 2.95 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Mn(1) atom to form distorted MgMg11Mn cuboctahedra that share corners with six equivalent Mg(6)Mg11Mn cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mn(1)Mg10W2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with three equivalent W(1)Mg10Mn2 cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.07 Å. The Mg(6)-Mn(1) bond length is 3.00 Å. In the seventh Mg site, Mg(7) is bonded in a distorted single-bond geometry to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one W(1) atom. The Mg(7)-W(1) bond length is 2.95 Å. W(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Mn(1) atoms to form WMg10Mn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent W(1)Mg10Mn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mn(1)Mg10W2 cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mn(1)Mg10W2 cuboctahedra, faces with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Mn cuboctahedra. Both W(1)-Mn(1) bond lengths are 3.07 Å. Mn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent W(1) atoms to form MnMg10W2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Mn(1)Mg10W2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent W(1)Mg10Mn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Mn cuboctahedra, edges with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra, faces with two equivalent Mg(6)Mg11Mn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent W(1)Mg10Mn2 cuboctahedra, and faces with four equivalent Mg(3)Mg8Mn2W2 cuboctahedra.