Mg6VCr is beta Cu3Ti-derived structured and 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(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra; corners with four equivalent V(1)Mg10Cr2 cuboctahedra; corners with ten equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(2)Mg10V2 cuboctahedra; edges with two equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent V(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with four equivalent Cr(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8V2Cr2 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent V(1)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(2)Mg10V2 cuboctahedra; corners with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent V(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent Cr(1)Mg10V2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3,3,3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent V(1)Mg10Cr2 cuboctahedra. In the sixth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. In the seventh Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. V(1) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3); and two equivalent Cr(1) atoms to form VMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra; corners with six equivalent V(1)Mg10Cr2 cuboctahedra; corners with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent Cr(1)Mg10V2 cuboctahedra; edges with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cr2 cuboctahedra. Cr(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3,3); and two equivalent V(1) atoms to form CrMg10V2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with six equivalent Cr(1)Mg10V2 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; edges with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent Mg(2)Mg10V2 cuboctahedra.
Mg6VCr is beta Cu3Ti-derived structured and 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(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra; corners with four equivalent V(1)Mg10Cr2 cuboctahedra; corners with ten equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(2)Mg10V2 cuboctahedra; edges with two equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent V(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with four equivalent Cr(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; and faces with eight Mg(3,3,3)Mg8V2Cr2 cuboctahedra. There is one shorter (2.98 Å) and one longer (3.21 Å) Mg(1)-Mg(1) bond length. There is one shorter (3.07 Å) and one longer (3.11 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Mg(3) bond lengths are 3.10 Å. Both Mg(1)-Mg(4) bond lengths are 3.09 Å. There is one shorter (3.06 Å) and one longer (3.11 Å) Mg(1)-V(1) bond length. Both Mg(1)-Cr(1) bond lengths are 3.03 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent V(1) atoms to form MgMg10V2 cuboctahedra that share corners with four equivalent V(1)Mg10Cr2 cuboctahedra; corners with six equivalent Mg(2)Mg10V2 cuboctahedra; corners with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent V(1)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent Cr(1)Mg10V2 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.08 Å. All Mg(2)-Mg(3,3) bond lengths are 3.09 Å. Both Mg(2)-V(1) bond lengths are 3.10 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. There is one shorter (2.98 Å) and one longer (3.22 Å) Mg(3)-Mg(3) bond length. There is one shorter (3.07 Å) and one longer (3.10 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-V(1) bond lengths are 3.02 Å. There is one shorter (3.03 Å) and one longer (3.14 Å) Mg(3)-Cr(1) bond length. In the fourth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.10 Å. There is one shorter (3.07 Å) and one longer (3.10 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-V(1) bond lengths are 3.02 Å. There is one shorter (3.03 Å) and one longer (3.14 Å) Mg(3)-Cr(1) bond length. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3,3,3); and two equivalent Cr(1) atoms to form MgMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent V(1)Mg10Cr2 cuboctahedra. Both Mg(4)-Mg(3,3) bond lengths are 3.07 Å. Both Mg(4)-Cr(1) bond lengths are 3.10 Å. In the sixth Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.10 Å. Both Mg(3)-Mg(2) bond lengths are 3.09 Å. There is one shorter (2.98 Å) and one longer (3.22 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-V(1) bond lengths are 3.02 Å. There is one shorter (3.03 Å) and one longer (3.14 Å) Mg(3)-Cr(1) bond length. In the seventh Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent V(1), and two equivalent Cr(1) atoms to form distorted MgMg8V2Cr2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with four equivalent Cr(1)Mg10V2 cuboctahedra; corners with ten Mg(3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with two equivalent Mg(3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Cr(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.10 Å. Both Mg(3)-Mg(2) bond lengths are 3.09 Å. Both Mg(3)-V(1) bond lengths are 3.02 Å. There is one shorter (3.03 Å) and one longer (3.14 Å) Mg(3)-Cr(1) bond length. V(1) is bonded to two equivalent Mg(2); four equivalent Mg(1); four Mg(3,3); and two equivalent Cr(1) atoms to form VMg10Cr2 cuboctahedra that share corners with four equivalent Mg(2)Mg10V2 cuboctahedra; corners with six equivalent V(1)Mg10Cr2 cuboctahedra; corners with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(2)Mg10V2 cuboctahedra; edges with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; edges with four equivalent Cr(1)Mg10V2 cuboctahedra; edges with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(2)Mg10V2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cr2 cuboctahedra. Both V(1)-Cr(1) bond lengths are 3.09 Å. Cr(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3,3); and two equivalent V(1) atoms to form CrMg10V2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cr2 cuboctahedra; corners with six equivalent Cr(1)Mg10V2 cuboctahedra; corners with eight Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cr2 cuboctahedra; edges with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; edges with four equivalent V(1)Mg10Cr2 cuboctahedra; edges with eight equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cr2 cuboctahedra; faces with two equivalent V(1)Mg10Cr2 cuboctahedra; faces with two equivalent Cr(1)Mg10V2 cuboctahedra; faces with four equivalent Mg(1)Mg8V2Cr2 cuboctahedra; faces with four Mg(3,3,3,3)Mg8V2Cr2 cuboctahedra; and faces with six equivalent Mg(2)Mg10V2 cuboctahedra.