Mg23Al30 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the trigonal R-3 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 7-coordinate geometry to one Mg(3), one Mg(6), two equivalent Mg(2), one Al(1), one Al(3), two equivalent Al(4), and three equivalent Al(2) atoms. In the second Mg site, Mg(2) is bonded in a 14-coordinate geometry to one Mg(2), one Mg(3), one Mg(5), two equivalent Mg(1), one Al(3), one Al(4), two equivalent Al(2), two equivalent Al(5), and three equivalent Al(1) atoms. In the third Mg site, Mg(3) is bonded in a 15-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Al(2), two equivalent Al(1), two equivalent Al(5), three equivalent Al(3), and three equivalent Al(4) atoms. In the fourth Mg site, Mg(4) is bonded in a 16-coordinate geometry to one Mg(4), three equivalent Mg(3), three equivalent Al(3), three equivalent Al(4), and six equivalent Al(5) atoms. In the fifth Mg site, Mg(5) is bonded in a 6-coordinate geometry to three equivalent Mg(2), three equivalent Al(1), and three equivalent Al(2) atoms. In the sixth Mg site, Mg(6) is bonded to six equivalent Mg(1) and six equivalent Al(2) atoms to form distorted MgMg6Al6 cuboctahedra that share corners with six equivalent Al(5)Mg6Al6 cuboctahedra, corners with twelve equivalent Al(1)Mg7Al5 cuboctahedra, and faces with six equivalent Al(4)Mg7Al5 cuboctahedra. There are five inequivalent Al sites. In the first Al site, Al(1) is bonded to one Mg(1), one Mg(5), two equivalent Mg(3), three equivalent Mg(2), one Al(2), one Al(4), one Al(5), and two equivalent Al(3) atoms to form distorted AlMg7Al5 cuboctahedra that share corners with two equivalent Mg(6)Mg6Al6 cuboctahedra, corners with two equivalent Al(1)Mg7Al5 cuboctahedra, corners with two equivalent Al(4)Mg7Al5 cuboctahedra, corners with four equivalent Al(5)Mg6Al6 cuboctahedra, edges with two equivalent Al(1)Mg7Al5 cuboctahedra, faces with two equivalent Al(1)Mg7Al5 cuboctahedra, faces with three equivalent Al(5)Mg6Al6 cuboctahedra, and faces with four equivalent Al(4)Mg7Al5 cuboctahedra. In the second Al site, Al(2) is bonded in a 11-coordinate geometry to one Mg(3), one Mg(5), one Mg(6), two equivalent Mg(2), three equivalent Mg(1), one Al(1), one Al(4), and one Al(5) atom. In the third Al site, Al(3) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(2), one Mg(4), three equivalent Mg(3), one Al(4), two equivalent Al(1), and two equivalent Al(3) atoms. In the fourth Al site, Al(4) is bonded to one Mg(2), one Mg(4), two equivalent Mg(1), three equivalent Mg(3), one Al(1), one Al(2), one Al(3), and two equivalent Al(5) atoms to form distorted AlMg7Al5 cuboctahedra that share corners with two equivalent Al(1)Mg7Al5 cuboctahedra, corners with two equivalent Al(4)Mg7Al5 cuboctahedra, corners with four equivalent Al(5)Mg6Al6 cuboctahedra, edges with five equivalent Al(4)Mg7Al5 cuboctahedra,  a faceface with one Mg(6)Mg6Al6 cuboctahedra, faces with four equivalent Al(5)Mg6Al6 cuboctahedra, and faces with four equivalent Al(1)Mg7Al5 cuboctahedra. In the fifth Al site, Al(5) is bonded to two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), one Al(1), one Al(2), two equivalent Al(4), and two equivalent Al(5) atoms to form AlMg6Al6 cuboctahedra that share  a cornercorner with one Mg(6)Mg6Al6 cuboctahedra, corners with four equivalent Al(1)Mg7Al5 cuboctahedra, corners with four equivalent Al(4)Mg7Al5 cuboctahedra,  an edgeedge with one Al(5)Mg6Al6 cuboctahedra, faces with three equivalent Al(1)Mg7Al5 cuboctahedra, faces with four equivalent Al(5)Mg6Al6 cuboctahedra, and faces with four equivalent Al(4)Mg7Al5 cuboctahedra.
Mg23Al30 is Bergman Structure: Mg32(Al,Zn)49 Bergman-derived structured and crystallizes in the trigonal R-3 space group. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded in a 7-coordinate geometry to one Mg(3), one Mg(6), two equivalent Mg(2), one Al(1), one Al(3), two equivalent Al(4), and three equivalent Al(2) atoms. The Mg(1)-Mg(3) bond length is 3.13 Å. The Mg(1)-Mg(6) bond length is 3.11 Å. There is one shorter (3.22 Å) and one longer (3.26 Å) Mg(1)-Mg(2) bond length. The Mg(1)-Al(1) bond length is 3.02 Å. The Mg(1)-Al(3) bond length is 3.10 Å. There is one shorter (2.97 Å) and one longer (3.08 Å) Mg(1)-Al(4) bond length. There are a spread of Mg(1)-Al(2) bond distances ranging from 2.84-3.21 Å. In the second Mg site, Mg(2) is bonded in a 14-coordinate geometry to one Mg(2), one Mg(3), one Mg(5), two equivalent Mg(1), one Al(3), one Al(4), two equivalent Al(2), two equivalent Al(5), and three equivalent Al(1) atoms. The Mg(2)-Mg(2) bond length is 3.10 Å. The Mg(2)-Mg(3) bond length is 3.14 Å. The Mg(2)-Mg(5) bond length is 3.19 Å. The Mg(2)-Al(3) bond length is 2.96 Å. The Mg(2)-Al(4) bond length is 3.27 Å. There is one shorter (3.00 Å) and one longer (3.16 Å) Mg(2)-Al(2) bond length. There is one shorter (3.16 Å) and one longer (3.22 Å) Mg(2)-Al(5) bond length. There are a spread of Mg(2)-Al(1) bond distances ranging from 2.95-3.16 Å. In the third Mg site, Mg(3) is bonded in a 15-coordinate geometry to one Mg(1), one Mg(2), one Mg(3), one Mg(4), one Al(2), two equivalent Al(1), two equivalent Al(5), three equivalent Al(3), and three equivalent Al(4) atoms. The Mg(3)-Mg(3) bond length is 3.29 Å. The Mg(3)-Mg(4) bond length is 3.29 Å. The Mg(3)-Al(2) bond length is 3.13 Å. There is one shorter (3.23 Å) and one longer (3.25 Å) Mg(3)-Al(1) bond length. There is one shorter (3.11 Å) and one longer (3.13 Å) Mg(3)-Al(5) bond length. There are a spread of Mg(3)-Al(3) bond distances ranging from 3.12-3.24 Å. There are a spread of Mg(3)-Al(4) bond distances ranging from 3.07-3.27 Å. In the fourth Mg site, Mg(4) is bonded in a 16-coordinate geometry to one Mg(4), three equivalent Mg(3), three equivalent Al(3), three equivalent Al(4), and six equivalent Al(5) atoms. The Mg(4)-Mg(4) bond length is 3.34 Å. All Mg(4)-Al(3) bond lengths are 3.14 Å. All Mg(4)-Al(4) bond lengths are 3.25 Å. There are three shorter (3.11 Å) and three longer (3.15 Å) Mg(4)-Al(5) bond lengths. In the fifth Mg site, Mg(5) is bonded in a 6-coordinate geometry to three equivalent Mg(2), three equivalent Al(1), and three equivalent Al(2) atoms. All Mg(5)-Al(1) bond lengths are 2.99 Å. All Mg(5)-Al(2) bond lengths are 2.88 Å. In the sixth Mg site, Mg(6) is bonded to six equivalent Mg(1) and six equivalent Al(2) atoms to form distorted MgMg6Al6 cuboctahedra that share corners with six equivalent Al(5)Mg6Al6 cuboctahedra, corners with twelve equivalent Al(1)Mg7Al5 cuboctahedra, and faces with six equivalent Al(4)Mg7Al5 cuboctahedra. All Mg(6)-Al(2) bond lengths are 3.24 Å. There are five inequivalent Al sites. In the first Al site, Al(1) is bonded to one Mg(1), one Mg(5), two equivalent Mg(3), three equivalent Mg(2), one Al(2), one Al(4), one Al(5), and two equivalent Al(3) atoms to form distorted AlMg7Al5 cuboctahedra that share corners with two equivalent Mg(6)Mg6Al6 cuboctahedra, corners with two equivalent Al(1)Mg7Al5 cuboctahedra, corners with two equivalent Al(4)Mg7Al5 cuboctahedra, corners with four equivalent Al(5)Mg6Al6 cuboctahedra, edges with two equivalent Al(1)Mg7Al5 cuboctahedra, faces with two equivalent Al(1)Mg7Al5 cuboctahedra, faces with three equivalent Al(5)Mg6Al6 cuboctahedra, and faces with four equivalent Al(4)Mg7Al5 cuboctahedra. The Al(1)-Al(2) bond length is 2.92 Å. The Al(1)-Al(4) bond length is 2.75 Å. The Al(1)-Al(5) bond length is 2.78 Å. There is one shorter (2.72 Å) and one longer (2.78 Å) Al(1)-Al(3) bond length. In the second Al site, Al(2) is bonded in a 11-coordinate geometry to one Mg(3), one Mg(5), one Mg(6), two equivalent Mg(2), three equivalent Mg(1), one Al(1), one Al(4), and one Al(5) atom. The Al(2)-Al(4) bond length is 2.73 Å. The Al(2)-Al(5) bond length is 2.76 Å. In the third Al site, Al(3) is bonded in a 11-coordinate geometry to one Mg(1), one Mg(2), one Mg(4), three equivalent Mg(3), one Al(4), two equivalent Al(1), and two equivalent Al(3) atoms. The Al(3)-Al(4) bond length is 2.65 Å. Both Al(3)-Al(3) bond lengths are 2.77 Å. In the fourth Al site, Al(4) is bonded to one Mg(2), one Mg(4), two equivalent Mg(1), three equivalent Mg(3), one Al(1), one Al(2), one Al(3), and two equivalent Al(5) atoms to form distorted AlMg7Al5 cuboctahedra that share corners with two equivalent Al(1)Mg7Al5 cuboctahedra, corners with two equivalent Al(4)Mg7Al5 cuboctahedra, corners with four equivalent Al(5)Mg6Al6 cuboctahedra, edges with five equivalent Al(4)Mg7Al5 cuboctahedra,  a faceface with one Mg(6)Mg6Al6 cuboctahedra, faces with four equivalent Al(5)Mg6Al6 cuboctahedra, and faces with four equivalent Al(1)Mg7Al5 cuboctahedra. There is one shorter (2.77 Å) and one longer (2.78 Å) Al(4)-Al(5) bond length. In the fifth Al site, Al(5) is bonded to two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), one Al(1), one Al(2), two equivalent Al(4), and two equivalent Al(5) atoms to form AlMg6Al6 cuboctahedra that share  a cornercorner with one Mg(6)Mg6Al6 cuboctahedra, corners with four equivalent Al(1)Mg7Al5 cuboctahedra, corners with four equivalent Al(4)Mg7Al5 cuboctahedra,  an edgeedge with one Al(5)Mg6Al6 cuboctahedra, faces with three equivalent Al(1)Mg7Al5 cuboctahedra, faces with four equivalent Al(5)Mg6Al6 cuboctahedra, and faces with four equivalent Al(4)Mg7Al5 cuboctahedra. Both Al(5)-Al(5) bond lengths are 2.65 Å.