BaMg6Cr crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cr(1) atoms to form BaMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with six equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgBa2Mg8Cr2 cuboctahedra that share corners with four equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with four equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 9-coordinate geometry to two equivalent Ba(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(1), and two equivalent Cr(1) atoms. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Ba(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Mg(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 2-coordinate geometry to two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(1), and two equivalent Cr(1) atoms. Cr(1) is bonded to two equivalent Ba(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form distorted CrBa2Mg10 cuboctahedra that share corners with four equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with six equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra.
BaMg6Cr crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cr(1) atoms to form BaMg10Cr2 cuboctahedra that share corners with four equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with six equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with eight equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra. Both Ba(1)-Mg(3) bond lengths are 3.38 Å. All Ba(1)-Mg(1) bond lengths are 3.41 Å. All Ba(1)-Mg(2) bond lengths are 3.39 Å. Both Ba(1)-Cr(1) bond lengths are 3.36 Å. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cr(1) atoms to form distorted MgBa2Mg8Cr2 cuboctahedra that share corners with four equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with four equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with ten equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with two equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Cr(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra. There is one shorter (3.30 Å) and one longer (3.42 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(2) bond lengths are 3.26 Å. Both Mg(1)-Mg(3) bond lengths are 3.23 Å. Both Mg(1)-Mg(4) bond lengths are 3.34 Å. There is one shorter (3.31 Å) and one longer (3.51 Å) Mg(1)-Cr(1) bond length. In the second Mg site, Mg(2) is bonded in a 9-coordinate geometry to two equivalent Ba(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(1), and two equivalent Cr(1) atoms. The Mg(2)-Mg(2) bond length is 3.00 Å. The Mg(2)-Mg(3) bond length is 3.16 Å. The Mg(2)-Mg(4) bond length is 3.24 Å. Both Mg(2)-Cr(1) bond lengths are 3.18 Å. In the third Mg site, Mg(3) is bonded in a 10-coordinate geometry to two equivalent Ba(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Mg(1) atoms. Both Mg(3)-Mg(4) bond lengths are 3.37 Å. In the fourth Mg site, Mg(4) is bonded in a 2-coordinate geometry to two equivalent Mg(2), two equivalent Mg(3), four equivalent Mg(1), and two equivalent Cr(1) atoms. Both Mg(4)-Cr(1) bond lengths are 3.27 Å. Cr(1) is bonded to two equivalent Ba(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form distorted CrBa2Mg10 cuboctahedra that share corners with four equivalent Ba(1)Mg10Cr2 cuboctahedra, corners with six equivalent Cr(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, edges with two equivalent Ba(1)Mg10Cr2 cuboctahedra, edges with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra, faces with two equivalent Ba(1)Mg10Cr2 cuboctahedra, faces with two equivalent Cr(1)Ba2Mg10 cuboctahedra, and faces with four equivalent Mg(1)Ba2Mg8Cr2 cuboctahedra.