BaMg6Mn crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Mn(1) atoms to form BaMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Ba2Mg10 cuboctahedra, corners with six equivalent Ba(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Mg10Mn2 cuboctahedra, and faces with two equivalent Mn(1)Ba2Mg10 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Mn(1) atoms. 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 Mn(1) atoms. In the third Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and two equivalent Mn(1) atoms. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Ba(1), two equivalent Mg(2), two equivalent Mg(3), and four equivalent Mg(1) atoms. Mn(1) is bonded to two equivalent Ba(1), two equivalent Mg(3), four equivalent Mg(1), and four equivalent Mg(2) atoms to form distorted MnBa2Mg10 cuboctahedra that share corners with four equivalent Ba(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Mg10Mn2 cuboctahedra, faces with two equivalent Ba(1)Mg10Mn2 cuboctahedra, and faces with two equivalent Mn(1)Ba2Mg10 cuboctahedra.
BaMg6Mn crystallizes in the orthorhombic Amm2 space group. Ba(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Mn(1) atoms to form BaMg10Mn2 cuboctahedra that share corners with four equivalent Mn(1)Ba2Mg10 cuboctahedra, corners with six equivalent Ba(1)Mg10Mn2 cuboctahedra, edges with two equivalent Mn(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Mg10Mn2 cuboctahedra, and faces with two equivalent Mn(1)Ba2Mg10 cuboctahedra. Both Ba(1)-Mg(4) bond lengths are 3.39 Å. There are two shorter (3.39 Å) and two longer (3.42 Å) Ba(1)-Mg(1) bond lengths. All Ba(1)-Mg(2) bond lengths are 3.39 Å. Both Ba(1)-Mn(1) bond lengths are 3.40 Å. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Mn(1) atoms. There is one shorter (3.29 Å) and one longer (3.51 Å) Mg(1)-Mg(1) bond length. Both Mg(1)-Mg(2) bond lengths are 3.25 Å. Both Mg(1)-Mg(3) bond lengths are 3.34 Å. Both Mg(1)-Mg(4) bond lengths are 3.22 Å. There is one shorter (3.25 Å) and one longer (3.56 Å) Mg(1)-Mn(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 Mn(1) atoms. The Mg(2)-Mg(2) bond length is 3.00 Å. The Mg(2)-Mg(3) bond length is 3.27 Å. The Mg(2)-Mg(4) bond length is 3.14 Å. Both Mg(2)-Mn(1) bond lengths are 3.16 Å. In the third Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(1), and two equivalent Mn(1) atoms. Both Mg(3)-Mg(4) bond lengths are 3.40 Å. Both Mg(3)-Mn(1) bond lengths are 3.30 Å. In the fourth Mg site, Mg(4) is bonded in a 10-coordinate geometry to two equivalent Ba(1), two equivalent Mg(2), two equivalent Mg(3), and four equivalent Mg(1) atoms. Mn(1) is bonded to two equivalent Ba(1), two equivalent Mg(3), four equivalent Mg(1), and four equivalent Mg(2) atoms to form distorted MnBa2Mg10 cuboctahedra that share corners with four equivalent Ba(1)Mg10Mn2 cuboctahedra, corners with six equivalent Mn(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Mg10Mn2 cuboctahedra, faces with two equivalent Ba(1)Mg10Mn2 cuboctahedra, and faces with two equivalent Mn(1)Ba2Mg10 cuboctahedra.