BaMn28 is alpha-derived structured and crystallizes in the cubic I-43m space group. Ba(1) is bonded in a 16-coordinate geometry to four equivalent Mn(1) and twelve equivalent Mn(3) atoms. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 16-coordinate geometry to one Ba(1), six equivalent Mn(2), and nine equivalent Mn(3) atoms. In the second Mn site, Mn(3) is bonded to one Ba(1), three equivalent Mn(1), three equivalent Mn(3), and five equivalent Mn(2) atoms to form a mixture of distorted edge, face, and corner-sharing MnBaMn11 cuboctahedra. In the third Mn site, Mn(2) is bonded in a 13-coordinate geometry to two equivalent Mn(1), five equivalent Mn(3), and six equivalent Mn(2) atoms.
BaMn28 is alpha-derived structured and crystallizes in the cubic I-43m space group. Ba(1) is bonded in a 16-coordinate geometry to four equivalent Mn(1) and twelve equivalent Mn(3) atoms. All Ba(1)-Mn(1) bond lengths are 2.93 Å. All Ba(1)-Mn(3) bond lengths are 2.85 Å. There are three inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 16-coordinate geometry to one Ba(1), six equivalent Mn(2), and nine equivalent Mn(3) atoms. There are three shorter (2.49 Å) and three longer (2.88 Å) Mn(1)-Mn(2) bond lengths. There are three shorter (2.70 Å) and six longer (2.81 Å) Mn(1)-Mn(3) bond lengths. In the second Mn site, Mn(3) is bonded to one Ba(1), three equivalent Mn(1), three equivalent Mn(3), and five equivalent Mn(2) atoms to form a mixture of distorted edge, face, and corner-sharing MnBaMn11 cuboctahedra. There is one shorter (2.31 Å) and two longer (2.53 Å) Mn(3)-Mn(3) bond lengths. There are a spread of Mn(3)-Mn(2) bond distances ranging from 2.22-2.61 Å. In the third Mn site, Mn(2) is bonded in a 13-coordinate geometry to two equivalent Mn(1), five equivalent Mn(3), and six equivalent Mn(2) atoms. There are two shorter (2.61 Å) and four longer (2.64 Å) Mn(2)-Mn(2) bond lengths.