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Al12Mn crystallizes in the cubic Im-3 space group. The structure is three-dimensional. Mn is bonded in a cuboctahedral geometry to twelve equivalent Al atoms. All Mn–Al bond lengths are 2.67 Å. Al is bonded in a 11-coordinate geometry to one Mn and ten equivalent Al atoms. There are a spread of Al–Al bond distances ranging from 2.78–2.96 Å.
Mn4Al19 is beta Plutonium-derived structured and crystallizes in the cubic Pm-3 space group. The structure is three-dimensional. there are two inequivalent Mn sites. In the first Mn site, Mn is bonded to twelve Al atoms to form distorted MnAl12 cuboctahedra that share corners with five equivalent MnAl12 cuboctahedra, a faceface with one MnAl12 cuboctahedra, and a faceface with one AlMn2Al10 cuboctahedra. There are a spread of Mn–Al bond distances ranging from 2.37–2.95 Å. In the second Mn site, Mn is bonded in a 9-coordinate geometry to eleven Al atoms. There are a spread of Mn–Al bond distances ranging from 2.32–2.99 Å. There are nine inequivalent Al sites. In the first Al site, Al is bonded in a 11-coordinate geometry to three Mn and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.46–2.99 Å. In the second Al site, Al is bonded to two equivalent Mn and ten Al atoms to form distorted AlMn2Al10 cuboctahedra that share an edgeedge with one AlMn2Al10 cuboctahedra and faces with two equivalent MnAl12 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.63–2.94 Å. In the third Al site, Al is bonded in a distorted single-bond geometry to one Mn and five Al atoms. There are a spread of Al–Al bond distances ranging from 2.80–2.92 Å. In the fourth Al site, Al is bonded in a 1-coordinate geometry to three Mn and seven Al atoms. There are a spread of Al–Al bond distances ranging from 2.72–2.99 Å. In the fifth Al site, Al is bonded in a 2-coordinate geometry to three Mn and eleven Al atoms. There are a spread of Al–Al bond distances ranging from 2.73–3.05 Å. In the sixth Al site, Al is bonded in a distorted single-bond geometry to one Mn and five Al atoms. The Al–Al bond length is 2.99 Å. In the seventh Al site, Al is bonded in a 12-coordinate geometry to two equivalent Mn and ten Al atoms. All Al–Al bond lengths are 2.91 Å. In the eighth Al site, Al is bonded in a 2-coordinate geometry to three Mn and ten Al atoms. There are two shorter (2.86 Å) and one longer (3.02 Å) Al–Al bond lengths. In the ninth Al site, Al is bonded in a 2-coordinate geometry to two equivalent Mn and thirteen Al atoms. The Al–Al bond length is 3.01 Å.
Al18Mg3Mn2 crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to four equivalent Mg and twelve equivalent Al atoms. All Mg–Mg bond lengths are 3.12 Å. All Mg–Al bond lengths are 3.20 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Mg and twelve equivalent Al atoms. All Mg–Al bond lengths are 3.09 Å. Mn is bonded to twelve Al atoms to form MnAl12 cuboctahedra that share corners with six equivalent MnAl12 cuboctahedra, edges with eighteen equivalent AlMg3MnAl8 cuboctahedra, and faces with six equivalent AlMg3MnAl8 cuboctahedra. There are six shorter (2.56 Å) and six longer (2.78 Å) Mn–Al bond lengths. There are two inequivalent Al sites. In the first Al site, Al is bonded to three Mg, one Mn, and eight Al atoms to form AlMg3MnAl8 cuboctahedra that share corners with fifteen equivalent AlMg3MnAl8 cuboctahedra, edges with two equivalent AlMg3MnAl8 cuboctahedra, edges with three equivalent MnAl12 cuboctahedra, a faceface with one MnAl12 cuboctahedra, and faces with fifteen equivalent AlMg3MnAl8 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.71–2.90 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Mn and ten Al atoms. All Al–Al bond lengths are 2.80 Å.
Al31Mn6Ni2 is beta Plutonium-derived structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are four inequivalent Mn sites. In the first Mn site, Mn is bonded to twelve Al atoms to form distorted MnAl12 cuboctahedra that share faces with two equivalent AlMn2Al8Ni2 cuboctahedra. There are a spread of Mn–Al bond distances ranging from 2.46–2.79 Å. In the second Mn site, Mn is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Mn–Al bond distances ranging from 2.41–2.54 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to twelve Al atoms. There are a spread of Mn–Al bond distances ranging from 2.45–2.97 Å. In the fourth Mn site, Mn is bonded in a 10-coordinate geometry to ten Al atoms. There are a spread of Mn–Al bond distances ranging from 2.51–2.78 Å. Ni is bonded in a 12-coordinate geometry to one Ni and eleven Al atoms. The Ni–Ni bond length is 2.85 Å. There are a spread of Ni–Al bond distances ranging from 2.45–2.91 Å. There are thirteen inequivalent Al sites. In the first Al site, Al is bonded in a 3-coordinate geometry to one Mn, two equivalent Ni, and ten Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–3.03 Å. In the second Al site, Al is bonded in a 2-coordinate geometry to two Mn and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.71–2.94 Å. In the third Al site, Al is bonded in a 2-coordinate geometry to one Mn, one Ni, and five Al atoms. There are a spread of Al–Al bond distances ranging from 2.73–2.80 Å. In the fourth Al site, Al is bonded in a 10-coordinate geometry to three Mn and seven Al atoms. There are a spread of Al–Al bond distances ranging from 2.44–2.97 Å. In the fifth Al site, Al is bonded in a 2-coordinate geometry to two Mn and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.92 Å. In the sixth Al site, Al is bonded in a 12-coordinate geometry to three Mn and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.59–3.04 Å. In the seventh Al site, Al is bonded in a 2-coordinate geometry to three Mn, one Ni, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.67–2.93 Å. In the eighth Al site, Al is bonded in a 1-coordinate geometry to three Mn and ten Al atoms. There are a spread of Al–Al bond distances ranging from 2.69–3.07 Å. In the ninth Al site, Al is bonded in a 5-coordinate geometry to one Mn, two equivalent Ni, and six Al atoms. In the tenth Al site, Al is bonded in a 2-coordinate geometry to two Mn, one Ni, and ten Al atoms. There are a spread of Al–Al bond distances ranging from 2.71–3.00 Å. In the eleventh Al site, Al is bonded in a distorted bent 150 degrees geometry to two equivalent Ni and six Al atoms. In the twelfth Al site, Al is bonded in a distorted linear geometry to two equivalent Mn and six Al atoms. In the thirteenth Al site, Al is bonded to two Mn, two equivalent Ni, and eight Al atoms to form distorted AlMn2Al8Ni2 cuboctahedra that share a faceface with one MnAl12 cuboctahedra and a faceface with one AlMn2Al8Ni2 cuboctahedra. The Al–Al bond length is 2.48 Å.
Yb6Mn4Al43 crystallizes in the hexagonal P6_3/mcm space group. The structure is three-dimensional. Yb is bonded in a 6-coordinate geometry to one Yb, one Mn, and fifteen Al atoms. The Yb–Yb bond length is 3.38 Å. The Yb–Mn bond length is 3.50 Å. There are a spread of Yb–Al bond distances ranging from 3.06–3.45 Å. There are two inequivalent Mn sites. In the first Mn site, Mn is bonded to twelve Al atoms to form MnAl12 cuboctahedra that share edges with six equivalent AlMn2Al10 cuboctahedra. There are six shorter (2.65 Å) and six longer (2.78 Å) Mn–Al bond lengths. In the second Mn site, Mn is bonded in a 10-coordinate geometry to two equivalent Yb and ten Al atoms. There are a spread of Mn–Al bond distances ranging from 2.56–2.67 Å. There are seven inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Yb, two Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.71–2.93 Å. In the second Al site, Al is bonded in a 12-coordinate geometry to two equivalent Yb, one Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.95 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to four equivalent Yb and eight Al atoms. There are a spread of Al–Al bond distances ranging from 2.77–3.11 Å. In the fourth Al site, Al is bonded in a 12-coordinate geometry to two equivalent Yb, one Mn, and nine Al atoms. There are a spread of Al–Al bond distances ranging from 2.76–2.98 Å. In the fifth Al site, Al is bonded in a 10-coordinate geometry to two equivalent Yb, one Mn, and seven Al atoms. There are one shorter (2.77 Å) and two longer (2.81 Å) Al–Al bond lengths. In the sixth Al site, Al is bonded to two equivalent Mn and ten Al atoms to form distorted AlMn2Al10 cuboctahedra that share corners with four equivalent AlYb3Al9 cuboctahedra, edges with two equivalent MnAl12 cuboctahedra, and faces with two equivalent AlMn2Al10 cuboctahedra. Both Al–Al bond lengths are 2.74 Å. In the seventh Al site, Al is bonded to three equivalent Yb and nine Al atoms to form AlYb3Al9 cuboctahedra that share corners with six AlMn2Al10 cuboctahedra and faces with two equivalent AlYb3Al9 cuboctahedra.