Mg6CeV is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are four 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 Ce(1), and two equivalent V(1) atoms to form distorted MgCe2Mg8V2 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra, corners with four equivalent V(1)Ce2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent Mg(2)Mg10V2 cuboctahedra, edges with two equivalent V(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form distorted MgMg10V2 cuboctahedra that share corners with four equivalent V(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg10V2 cuboctahedra, corners with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent V(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent Ce(1)Mg10V2 cuboctahedra. 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 Ce(1), and two equivalent V(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg10V2 cuboctahedra, corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(2)Mg10V2 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent V(1)Ce2Mg10 cuboctahedra. Ce(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form distorted CeMg10V2 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent V(1)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent Mg(2)Mg10V2 cuboctahedra. V(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms to form VCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra, corners with six equivalent V(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent Mg(2)Mg10V2 cuboctahedra, edges with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with four equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent Mg(4)Ce2Mg10 cuboctahedra.
Mg6CeV is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are four 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 Ce(1), and two equivalent V(1) atoms to form distorted MgCe2Mg8V2 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra, corners with four equivalent V(1)Ce2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent Mg(2)Mg10V2 cuboctahedra, edges with two equivalent V(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra. There is one shorter (3.16 Å) and one longer (3.38 Å) Mg(1)-Mg(1) bond length. There is one shorter (3.26 Å) and one longer (3.33 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.07 Å. Both Mg(1)-Mg(4) bond lengths are 3.11 Å. Both Mg(1)-Ce(1) bond lengths are 3.25 Å. There is one shorter (3.28 Å) and one longer (3.31 Å) Mg(1)-V(1) bond length. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form distorted MgMg10V2 cuboctahedra that share corners with four equivalent V(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg10V2 cuboctahedra, corners with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent V(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent Ce(1)Mg10V2 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.19 Å. All Mg(2)-Mg(3) bond lengths are 3.19 Å. Both Mg(2)-V(1) bond lengths are 3.27 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 Ce(1), and two equivalent V(1) atoms. There is one shorter (3.15 Å) and one longer (3.39 Å) Mg(3)-Mg(3) bond length. There is one shorter (3.15 Å) and one longer (3.44 Å) Mg(3)-Mg(4) bond length. There is one shorter (3.18 Å) and one longer (3.41 Å) Mg(3)-Ce(1) bond length. Both Mg(3)-V(1) bond lengths are 3.16 Å. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with four equivalent Ce(1)Mg10V2 cuboctahedra, corners with six equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with two equivalent Ce(1)Mg10V2 cuboctahedra, edges with four equivalent Mg(2)Mg10V2 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent V(1)Ce2Mg10 cuboctahedra. Both Mg(4)-Ce(1) bond lengths are 3.28 Å. Ce(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form distorted CeMg10V2 cuboctahedra that share corners with four equivalent Mg(4)Ce2Mg10 cuboctahedra, corners with six equivalent Ce(1)Mg10V2 cuboctahedra, edges with two equivalent Mg(4)Ce2Mg10 cuboctahedra, edges with four equivalent V(1)Ce2Mg10 cuboctahedra, edges with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, faces with two equivalent Mg(4)Ce2Mg10 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent Mg(2)Mg10V2 cuboctahedra. Both Ce(1)-V(1) bond lengths are 3.01 Å. V(1) is bonded to two equivalent Mg(2), four equivalent Mg(1), four equivalent Mg(3), and two equivalent Ce(1) atoms to form VCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra, corners with six equivalent V(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with two equivalent Mg(2)Mg10V2 cuboctahedra, edges with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, edges with four equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent Mg(2)Mg10V2 cuboctahedra, faces with two equivalent Ce(1)Mg10V2 cuboctahedra, faces with two equivalent V(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(1)Ce2Mg8V2 cuboctahedra, and faces with six equivalent Mg(4)Ce2Mg10 cuboctahedra.