BaMg6La crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted BaMg12 cuboctahedra that share corners with six equivalent Ba(1)Mg12 cuboctahedra, faces with two equivalent Ba(1)Mg12 cuboctahedra, and faces with six equivalent La(1)Mg12 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 10-coordinate geometry to two equivalent Ba(1), one Mg(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent La(1) atoms. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Ba(1), two equivalent Mg(1), four equivalent Mg(3), and two equivalent La(1) atoms. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to two equivalent Ba(1), one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 8-coordinate geometry to two equivalent Ba(1), four equivalent Mg(1), four equivalent Mg(3), and two equivalent La(1) atoms. La(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra, faces with two equivalent La(1)Mg12 cuboctahedra, and faces with six equivalent Ba(1)Mg12 cuboctahedra.
BaMg6La crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted BaMg12 cuboctahedra that share corners with six equivalent Ba(1)Mg12 cuboctahedra, faces with two equivalent Ba(1)Mg12 cuboctahedra, and faces with six equivalent La(1)Mg12 cuboctahedra. Both Ba(1)-Mg(2) bond lengths are 3.57 Å. Both Ba(1)-Mg(4) bond lengths are 3.73 Å. All Ba(1)-Mg(1) bond lengths are 3.52 Å. There are two shorter (3.52 Å) and two longer (3.55 Å) Ba(1)-Mg(3) bond lengths. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 10-coordinate geometry to two equivalent Ba(1), one Mg(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent La(1) atoms. The Mg(1)-Mg(1) bond length is 3.15 Å. The Mg(1)-Mg(2) bond length is 3.26 Å. Both Mg(1)-Mg(3) bond lengths are 3.42 Å. Both Mg(1)-Mg(4) bond lengths are 3.25 Å. There is one shorter (3.49 Å) and one longer (3.59 Å) Mg(1)-La(1) bond length. In the second Mg site, Mg(2) is bonded in a 10-coordinate geometry to two equivalent Ba(1), two equivalent Mg(1), four equivalent Mg(3), and two equivalent La(1) atoms. All Mg(2)-Mg(3) bond lengths are 3.24 Å. Both Mg(2)-La(1) bond lengths are 3.72 Å. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to two equivalent Ba(1), one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and two equivalent La(1) atoms. The Mg(3)-Mg(3) bond length is 3.35 Å. There is one shorter (3.51 Å) and one longer (3.55 Å) Mg(3)-Mg(4) bond length. Both Mg(3)-La(1) bond lengths are 3.45 Å. In the fourth Mg site, Mg(4) is bonded in a 8-coordinate geometry to two equivalent Ba(1), four equivalent Mg(1), four equivalent Mg(3), and two equivalent La(1) atoms. Both Mg(4)-La(1) bond lengths are 3.43 Å. La(1) is bonded to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra, faces with two equivalent La(1)Mg12 cuboctahedra, and faces with six equivalent Ba(1)Mg12 cuboctahedra.