LiBaMg14 crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form distorted LiBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Li(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Ba(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Ba(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Li(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ba(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Li(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Ba(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgBa2Li2Mg8 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Li(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)BaLiMg10 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Li2Mg10 cuboctahedra, corners with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)BaLiMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Li(1), one Ba(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgBaLiMg10 cuboctahedra that share corners with four equivalent Mg(7)BaMg11 cuboctahedra, corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with ten equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Ba2Mg10 cuboctahedra,  a faceface with one Ba(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Li(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgLiMg11 cuboctahedra that share corners with four equivalent Mg(7)BaMg11 cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Ba2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Ba(1)Li2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaLiMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Ba(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgBaMg11 cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)BaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Ba2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaLiMg10 cuboctahedra.
LiBaMg14 crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Ba(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form distorted LiBa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Li(1)Ba2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Ba(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Both Li(1)-Ba(1) bond lengths are 3.25 Å. Both Li(1)-Mg(6) bond lengths are 3.26 Å. There are two shorter (3.23 Å) and two longer (3.41 Å) Li(1)-Mg(3) bond lengths. All Li(1)-Mg(5) bond lengths are 3.38 Å. Ba(1) is bonded to two equivalent Li(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form BaLi2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ba(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Li(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. Both Ba(1)-Mg(7) bond lengths are 3.42 Å. There are two shorter (3.31 Å) and two longer (3.33 Å) Ba(1)-Mg(3) bond lengths. All Ba(1)-Mg(5) bond lengths are 3.44 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ba(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Li(1)Ba2Mg10 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)BaMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.25 Å. Both Mg(1)-Mg(6) bond lengths are 3.30 Å. There are two shorter (3.29 Å) and two longer (3.36 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.13 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)Ba2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)BaLiMg10 cuboctahedra, faces with two equivalent Ba(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)LiMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.19 Å. There are two shorter (3.31 Å) and two longer (3.33 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.17 Å. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Ba(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgBa2Li2Mg8 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Li(1)Ba2Mg10 cuboctahedra, faces with two equivalent Ba(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)BaLiMg10 cuboctahedra. There is one shorter (3.16 Å) and one longer (3.33 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.37 Å. Both Mg(3)-Mg(6) bond lengths are 3.27 Å. Both Mg(3)-Mg(7) bond lengths are 3.37 Å. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Li(1)Ba2Mg10 cuboctahedra, corners with four equivalent Ba(1)Li2Mg10 cuboctahedra, corners with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(7)BaMg11 cuboctahedra, edges with four equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)BaLiMg10 cuboctahedra. There is one shorter (3.22 Å) and one longer (3.27 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.14 Å. Both Mg(4)-Mg(6) bond lengths are 3.30 Å. Both Mg(4)-Mg(7) bond lengths are 3.13 Å. In the fifth Mg site, Mg(5) is bonded to one Li(1), one Ba(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgBaLiMg10 cuboctahedra that share corners with four equivalent Mg(7)BaMg11 cuboctahedra, corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with ten equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with two equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Ba2Mg10 cuboctahedra,  a faceface with one Ba(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with four equivalent Mg(5)BaLiMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.16 Å) and one longer (3.33 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.32 Å) and one longer (3.33 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.22 Å) and one longer (3.42 Å) Mg(5)-Mg(7) bond length. In the sixth Mg site, Mg(6) is bonded to one Li(1), one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), and four equivalent Mg(5) atoms to form distorted MgLiMg11 cuboctahedra that share corners with four equivalent Mg(7)BaMg11 cuboctahedra, corners with six equivalent Mg(6)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Li(1)Ba2Mg10 cuboctahedra, edges with two equivalent Mg(7)BaMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Ba2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Ba(1)Li2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaLiMg10 cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.25 Å. In the seventh Mg site, Mg(7) is bonded to one Ba(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgBaMg11 cuboctahedra that share corners with four equivalent Mg(6)LiMg11 cuboctahedra, corners with six equivalent Mg(7)BaMg11 cuboctahedra, corners with eight equivalent Mg(5)BaLiMg10 cuboctahedra, edges with two equivalent Ba(1)Li2Mg10 cuboctahedra, edges with two equivalent Mg(6)LiMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, edges with four equivalent Mg(5)BaLiMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Ba(1)Li2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)Ba2Li2Mg8 cuboctahedra, faces with two equivalent Mg(7)BaMg11 cuboctahedra, faces with two equivalent Mg(6)LiMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Ba2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)BaLiMg10 cuboctahedra.