Mg14CrSn 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 Cr(1)Mg10Sn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr 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 Sn(1)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn 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 Cr(1), and two equivalent Sn(1) atoms to form distorted MgMg8Cr2Sn2 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)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, faces with two equivalent Cr(1)Mg10Sn2 cuboctahedra, faces with two equivalent Sn(1)Mg10Cr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10CrSn 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)Mg8Cr2Sn2 cuboctahedra, corners with four equivalent Cr(1)Mg10Sn2 cuboctahedra, corners with four equivalent Sn(1)Mg10Cr2 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(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn 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, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10CrSn cuboctahedra. In the fifth Mg site, Mg(5) is bonded 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 Cr(1), and one Sn(1) atom to form distorted MgMg10CrSn cuboctahedra that share corners with four equivalent Mg(7)Mg11Cr cuboctahedra, corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with ten equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(7)Mg11Cr cuboctahedra, edges with two equivalent Mg(6)Mg11Sn 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 two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Sn2 cuboctahedra,  a faceface with one Sn(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra. 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 Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(7)Mg11Cr cuboctahedra, corners with six equivalent Mg(6)Mg11Sn cuboctahedra, corners with eight equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(7)Mg11Cr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Sn(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Mg10Sn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10CrSn cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Cr(1) atom to form distorted MgMg11Cr cuboctahedra that share corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with six equivalent Mg(7)Mg11Cr cuboctahedra, corners with eight equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(6)Mg11Sn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Sn2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Sn(1)Mg10Cr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10CrSn cuboctahedra. Cr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Sn(1) atoms to form CrMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Mg10Sn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn cuboctahedra. Sn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form SnMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Sn(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr cuboctahedra.
Mg14CrSn 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 Cr(1)Mg10Sn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.14 Å. Both Mg(1)-Mg(6) bond lengths are 3.17 Å. All Mg(1)-Mg(4) bond lengths are 3.16 Å. All Mg(1)-Mg(5) bond lengths are 3.20 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 Sn(1)Mg10Cr2 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.18 Å. All Mg(2)-Mg(4) bond lengths are 3.16 Å. All Mg(2)-Mg(5) bond lengths are 3.18 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 Cr(1), and two equivalent Sn(1) atoms to form distorted MgMg8Cr2Sn2 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)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, faces with two equivalent Cr(1)Mg10Sn2 cuboctahedra, faces with two equivalent Sn(1)Mg10Cr2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10CrSn cuboctahedra. There is one shorter (3.13 Å) and one longer (3.15 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.16 Å. Both Mg(3)-Mg(6) bond lengths are 3.18 Å. Both Mg(3)-Mg(7) bond lengths are 3.16 Å. There is one shorter (3.14 Å) and one longer (3.18 Å) Mg(3)-Cr(1) bond length. There is one shorter (3.15 Å) and one longer (3.17 Å) Mg(3)-Sn(1) bond length. 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)Mg8Cr2Sn2 cuboctahedra, corners with four equivalent Cr(1)Mg10Sn2 cuboctahedra, corners with four equivalent Sn(1)Mg10Cr2 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(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn 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, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, and faces with eight equivalent Mg(5)Mg10CrSn cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.14 Å. Both Mg(4)-Mg(5) bond lengths are 3.20 Å. Both Mg(4)-Mg(6) bond lengths are 3.16 Å. Both Mg(4)-Mg(7) bond lengths are 3.19 Å. In the fifth Mg site, Mg(5) is bonded 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 Cr(1), and one Sn(1) atom to form distorted MgMg10CrSn cuboctahedra that share corners with four equivalent Mg(7)Mg11Cr cuboctahedra, corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with ten equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(7)Mg11Cr cuboctahedra, edges with two equivalent Mg(6)Mg11Sn 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 two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Sn2 cuboctahedra,  a faceface with one Sn(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra. There is one shorter (3.10 Å) and one longer (3.18 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.15 Å) and one longer (3.17 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.13 Å) and one longer (3.19 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Cr(1) bond length is 3.14 Å. The Mg(5)-Sn(1) bond length is 3.16 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 Sn(1) atom to form distorted MgMg11Sn cuboctahedra that share corners with four equivalent Mg(7)Mg11Cr cuboctahedra, corners with six equivalent Mg(6)Mg11Sn cuboctahedra, corners with eight equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(7)Mg11Cr cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Sn(1)Mg10Cr2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Cr(1)Mg10Sn2 cuboctahedra, and faces with four equivalent Mg(5)Mg10CrSn cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.14 Å. The Mg(6)-Sn(1) bond length is 3.18 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Cr(1) atom to form distorted MgMg11Cr cuboctahedra that share corners with four equivalent Mg(6)Mg11Sn cuboctahedra, corners with six equivalent Mg(7)Mg11Cr cuboctahedra, corners with eight equivalent Mg(5)Mg10CrSn cuboctahedra, edges with two equivalent Mg(6)Mg11Sn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(5)Mg10CrSn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Cr(1)Mg10Sn2 cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Sn(1)Mg10Cr2 cuboctahedra, and faces with four equivalent Mg(5)Mg10CrSn cuboctahedra. The Mg(7)-Cr(1) bond length is 3.14 Å. Cr(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Sn(1) atoms to form CrMg10Sn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Cr(1)Mg10Sn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Sn(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(7)Mg11Cr cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(7)Mg11Cr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Sn(1)Mg10Cr2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, and faces with six equivalent Mg(6)Mg11Sn cuboctahedra. Both Cr(1)-Sn(1) bond lengths are 3.14 Å. Sn(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Cr(1) atoms to form SnMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Sn(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Cr(1)Mg10Sn2 cuboctahedra, edges with four equivalent Mg(6)Mg11Sn cuboctahedra, edges with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, edges with eight equivalent Mg(5)Mg10CrSn cuboctahedra, faces with two equivalent Mg(6)Mg11Sn cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Cr(1)Mg10Sn2 cuboctahedra, faces with four equivalent Mg(5)Mg10CrSn cuboctahedra, faces with four equivalent Mg(3)Mg8Cr2Sn2 cuboctahedra, and faces with six equivalent Mg(7)Mg11Cr cuboctahedra.