Mg14CeV crystallizes in the monoclinic Pm space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(10), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(7), two equivalent Mg(8), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(6)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(9)CeMg10V cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(10), two equivalent Mg(4), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10V2 cuboctahedra, corners with four equivalent Mg(5)Mg10V2 cuboctahedra, corners with four equivalent V(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(9)CeMg10V cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(10), two equivalent Mg(5), two equivalent Mg(7), two equivalent Mg(9), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(6)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(8)CeMg10V cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(9), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg10V2 cuboctahedra, corners with four equivalent Mg(5)Mg10V2 cuboctahedra, corners with four equivalent V(1)Mg12 cuboctahedra, corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(8)CeMg10V cuboctahedra. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(1), two equivalent Mg(10), two equivalent Mg(3), two equivalent Mg(8), two equivalent Mg(9), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Mg12 cuboctahedra, corners with six equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg10V cuboctahedra. In the sixth Mg site, Mg(6) is bonded to two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(8), two equivalent Mg(9), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg10V2 cuboctahedra, corners with four equivalent Mg(3)Mg10V2 cuboctahedra, corners with four equivalent V(1)Mg12 cuboctahedra, corners with six equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg10V cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(10), two equivalent Mg(8), two equivalent Mg(9), one Ce(1), and one V(1) atom to form distorted MgCeMg10V cuboctahedra that share corners with four equivalent Mg(8)CeMg10V cuboctahedra, corners with four equivalent Mg(9)CeMg10V cuboctahedra, corners with four equivalent Mg(10)Mg12 cuboctahedra, corners with six equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Ce2Mg10 cuboctahedra,  a faceface with one Mg(4)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg10V2 cuboctahedra,  a faceface with one Mg(3)Mg10V2 cuboctahedra,  a faceface with one Ce(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Mg(6)Ce2Mg10 cuboctahedra, and faces with three equivalent Mg(5)Mg10V2 cuboctahedra. In the eighth Mg site, Mg(8) is bonded to one Mg(1), one Mg(2), one Mg(5), one Mg(6), two equivalent Mg(10), two equivalent Mg(7), two equivalent Mg(9), one Ce(1), and one V(1) atom to form distorted MgCeMg10V cuboctahedra that share corners with four equivalent Mg(7)CeMg10V cuboctahedra, corners with four equivalent Mg(9)CeMg10V cuboctahedra, corners with four equivalent Mg(10)Mg12 cuboctahedra, corners with six equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Ce2Mg10 cuboctahedra,  a faceface with one Mg(6)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg10V2 cuboctahedra,  a faceface with one Mg(5)Mg10V2 cuboctahedra,  a faceface with one Ce(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Mg(4)Ce2Mg10 cuboctahedra, and faces with three equivalent Mg(3)Mg10V2 cuboctahedra. In the ninth Mg site, Mg(9) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), two equivalent Mg(10), two equivalent Mg(7), two equivalent Mg(8), one Ce(1), and one V(1) atom to form distorted MgCeMg10V cuboctahedra that share corners with four equivalent Mg(7)CeMg10V cuboctahedra, corners with four equivalent Mg(8)CeMg10V cuboctahedra, corners with four equivalent Mg(10)Mg12 cuboctahedra, corners with six equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra,  a faceface with one Mg(4)Ce2Mg10 cuboctahedra,  a faceface with one Mg(6)Ce2Mg10 cuboctahedra,  a faceface with one Mg(3)Mg10V2 cuboctahedra,  a faceface with one Mg(5)Mg10V2 cuboctahedra,  a faceface with one Ce(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Mg(2)Ce2Mg10 cuboctahedra, and faces with three equivalent Mg(1)Mg10V2 cuboctahedra. In the tenth Mg site, Mg(10) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Mg(5), one Mg(6), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Mg(9) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(7)CeMg10V cuboctahedra, corners with four equivalent Mg(8)CeMg10V cuboctahedra, corners with four equivalent Mg(9)CeMg10V cuboctahedra, corners with six equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra,  a faceface with one Mg(2)Ce2Mg10 cuboctahedra,  a faceface with one Mg(4)Ce2Mg10 cuboctahedra,  a faceface with one Mg(6)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg10V2 cuboctahedra,  a faceface with one Mg(3)Mg10V2 cuboctahedra,  a faceface with one Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg12 cuboctahedra, and faces with three equivalent V(1)Mg12 cuboctahedra. Ce(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Mg(9) atoms to form CeMg12 cuboctahedra that share corners with four equivalent Mg(1)Mg10V2 cuboctahedra, corners with four equivalent Mg(3)Mg10V2 cuboctahedra, corners with four equivalent Mg(5)Mg10V2 cuboctahedra, corners with six equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(10)Mg12 cuboctahedra. V(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Mg(9) atoms to form VMg12 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(6)Ce2Mg10 cuboctahedra, corners with six equivalent V(1)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(10)Mg12 cuboctahedra.
Mg14CeV crystallizes in the monoclinic Pm space group. There are ten inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(10), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(7), two equivalent Mg(8), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(6)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(9)CeMg10V cuboctahedra. Both Mg(1)-Mg(10) bond lengths are 3.24 Å. There is one shorter (3.18 Å) and one longer (3.24 Å) Mg(1)-Mg(3) bond length. There is one shorter (3.18 Å) and one longer (3.24 Å) Mg(1)-Mg(5) bond length. Both Mg(1)-Mg(7) bond lengths are 3.06 Å. Both Mg(1)-Mg(8) bond lengths are 3.06 Å. Both Mg(1)-V(1) bond lengths are 3.21 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(10), two equivalent Mg(4), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(3)Mg10V2 cuboctahedra, corners with four equivalent Mg(5)Mg10V2 cuboctahedra, corners with four equivalent V(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(9)CeMg10V cuboctahedra. Both Mg(2)-Mg(10) bond lengths are 3.10 Å. There is one shorter (3.06 Å) and one longer (3.36 Å) Mg(2)-Mg(4) bond length. There is one shorter (3.07 Å) and one longer (3.35 Å) Mg(2)-Mg(6) bond length. Both Mg(2)-Mg(7) bond lengths are 3.23 Å. Both Mg(2)-Mg(8) bond lengths are 3.24 Å. Both Mg(2)-Ce(1) bond lengths are 3.21 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(10), two equivalent Mg(5), two equivalent Mg(7), two equivalent Mg(9), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(6)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Mg12 cuboctahedra, corners with six equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(8)CeMg10V cuboctahedra. Both Mg(3)-Mg(10) bond lengths are 3.24 Å. There is one shorter (3.17 Å) and one longer (3.24 Å) Mg(3)-Mg(5) bond length. Both Mg(3)-Mg(7) bond lengths are 3.06 Å. Both Mg(3)-Mg(9) bond lengths are 3.06 Å. Both Mg(3)-V(1) bond lengths are 3.21 Å. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(9), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg10V2 cuboctahedra, corners with four equivalent Mg(5)Mg10V2 cuboctahedra, corners with four equivalent V(1)Mg12 cuboctahedra, corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(8)CeMg10V cuboctahedra. Both Mg(4)-Mg(10) bond lengths are 3.10 Å. There is one shorter (3.07 Å) and one longer (3.34 Å) Mg(4)-Mg(6) bond length. Both Mg(4)-Mg(7) bond lengths are 3.22 Å. Both Mg(4)-Mg(9) bond lengths are 3.24 Å. There is one shorter (3.21 Å) and one longer (3.22 Å) Mg(4)-Ce(1) bond length. In the fifth Mg site, Mg(5) is bonded to two equivalent Mg(1), two equivalent Mg(10), two equivalent Mg(3), two equivalent Mg(8), two equivalent Mg(9), and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with four equivalent Ce(1)Mg12 cuboctahedra, corners with six equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg10V cuboctahedra. Both Mg(5)-Mg(10) bond lengths are 3.24 Å. Both Mg(5)-Mg(8) bond lengths are 3.05 Å. Both Mg(5)-Mg(9) bond lengths are 3.05 Å. Both Mg(5)-V(1) bond lengths are 3.21 Å. In the sixth Mg site, Mg(6) is bonded to two equivalent Mg(10), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(8), two equivalent Mg(9), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg10V2 cuboctahedra, corners with four equivalent Mg(3)Mg10V2 cuboctahedra, corners with four equivalent V(1)Mg12 cuboctahedra, corners with six equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, edges with four equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg10V cuboctahedra. Both Mg(6)-Mg(10) bond lengths are 3.10 Å. Both Mg(6)-Mg(8) bond lengths are 3.23 Å. Both Mg(6)-Mg(9) bond lengths are 3.23 Å. Both Mg(6)-Ce(1) bond lengths are 3.21 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(10), two equivalent Mg(8), two equivalent Mg(9), one Ce(1), and one V(1) atom to form distorted MgCeMg10V cuboctahedra that share corners with four equivalent Mg(8)CeMg10V cuboctahedra, corners with four equivalent Mg(9)CeMg10V cuboctahedra, corners with four equivalent Mg(10)Mg12 cuboctahedra, corners with six equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Ce2Mg10 cuboctahedra,  a faceface with one Mg(4)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg10V2 cuboctahedra,  a faceface with one Mg(3)Mg10V2 cuboctahedra,  a faceface with one Ce(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Mg(6)Ce2Mg10 cuboctahedra, and faces with three equivalent Mg(5)Mg10V2 cuboctahedra. Both Mg(7)-Mg(10) bond lengths are 3.22 Å. There is one shorter (3.18 Å) and one longer (3.23 Å) Mg(7)-Mg(8) bond length. There is one shorter (3.19 Å) and one longer (3.23 Å) Mg(7)-Mg(9) bond length. The Mg(7)-Ce(1) bond length is 3.25 Å. The Mg(7)-V(1) bond length is 3.04 Å. In the eighth Mg site, Mg(8) is bonded to one Mg(1), one Mg(2), one Mg(5), one Mg(6), two equivalent Mg(10), two equivalent Mg(7), two equivalent Mg(9), one Ce(1), and one V(1) atom to form distorted MgCeMg10V cuboctahedra that share corners with four equivalent Mg(7)CeMg10V cuboctahedra, corners with four equivalent Mg(9)CeMg10V cuboctahedra, corners with four equivalent Mg(10)Mg12 cuboctahedra, corners with six equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Ce2Mg10 cuboctahedra,  a faceface with one Mg(6)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg10V2 cuboctahedra,  a faceface with one Mg(5)Mg10V2 cuboctahedra,  a faceface with one Ce(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Mg(4)Ce2Mg10 cuboctahedra, and faces with three equivalent Mg(3)Mg10V2 cuboctahedra. Both Mg(8)-Mg(10) bond lengths are 3.22 Å. There is one shorter (3.19 Å) and one longer (3.22 Å) Mg(8)-Mg(9) bond length. The Mg(8)-Ce(1) bond length is 3.24 Å. The Mg(8)-V(1) bond length is 3.04 Å. In the ninth Mg site, Mg(9) is bonded to one Mg(3), one Mg(4), one Mg(5), one Mg(6), two equivalent Mg(10), two equivalent Mg(7), two equivalent Mg(8), one Ce(1), and one V(1) atom to form distorted MgCeMg10V cuboctahedra that share corners with four equivalent Mg(7)CeMg10V cuboctahedra, corners with four equivalent Mg(8)CeMg10V cuboctahedra, corners with four equivalent Mg(10)Mg12 cuboctahedra, corners with six equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with two equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent V(1)Mg12 cuboctahedra,  a faceface with one Mg(4)Ce2Mg10 cuboctahedra,  a faceface with one Mg(6)Ce2Mg10 cuboctahedra,  a faceface with one Mg(3)Mg10V2 cuboctahedra,  a faceface with one Mg(5)Mg10V2 cuboctahedra,  a faceface with one Ce(1)Mg12 cuboctahedra,  a faceface with one V(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Mg(2)Ce2Mg10 cuboctahedra, and faces with three equivalent Mg(1)Mg10V2 cuboctahedra. Both Mg(9)-Mg(10) bond lengths are 3.22 Å. The Mg(9)-Ce(1) bond length is 3.24 Å. The Mg(9)-V(1) bond length is 3.04 Å. In the tenth Mg site, Mg(10) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Mg(5), one Mg(6), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Mg(9) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(7)CeMg10V cuboctahedra, corners with four equivalent Mg(8)CeMg10V cuboctahedra, corners with four equivalent Mg(9)CeMg10V cuboctahedra, corners with six equivalent Mg(10)Mg12 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(7)CeMg10V cuboctahedra, edges with two equivalent Mg(8)CeMg10V cuboctahedra, edges with two equivalent Mg(9)CeMg10V cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra,  a faceface with one Mg(2)Ce2Mg10 cuboctahedra,  a faceface with one Mg(4)Ce2Mg10 cuboctahedra,  a faceface with one Mg(6)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg10V2 cuboctahedra,  a faceface with one Mg(3)Mg10V2 cuboctahedra,  a faceface with one Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(10)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg12 cuboctahedra, and faces with three equivalent V(1)Mg12 cuboctahedra. Ce(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(6), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Mg(9) atoms to form CeMg12 cuboctahedra that share corners with four equivalent Mg(1)Mg10V2 cuboctahedra, corners with four equivalent Mg(3)Mg10V2 cuboctahedra, corners with four equivalent Mg(5)Mg10V2 cuboctahedra, corners with six equivalent Ce(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Mg(6)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(2)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(6)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent V(1)Mg12 cuboctahedra, and faces with six equivalent Mg(10)Mg12 cuboctahedra. V(1) is bonded to two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(7), two equivalent Mg(8), and two equivalent Mg(9) atoms to form VMg12 cuboctahedra that share corners with four equivalent Mg(2)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with four equivalent Mg(6)Ce2Mg10 cuboctahedra, corners with six equivalent V(1)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(3)Mg10V2 cuboctahedra, edges with two equivalent Mg(5)Mg10V2 cuboctahedra, edges with four equivalent Mg(7)CeMg10V cuboctahedra, edges with four equivalent Mg(8)CeMg10V cuboctahedra, edges with four equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(7)CeMg10V cuboctahedra, faces with two equivalent Mg(8)CeMg10V cuboctahedra, faces with two equivalent Mg(9)CeMg10V cuboctahedra, faces with two equivalent Mg(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(3)Mg10V2 cuboctahedra, faces with two equivalent Mg(5)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg12 cuboctahedra, and faces with six equivalent Mg(10)Mg12 cuboctahedra.