LiMg14Zr crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zr(1) atoms to form LiMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Li(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr 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 Li(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)LiMg11 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 Zr(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Li(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Li(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgLi2Mg8Zr2 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)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Zr(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(5)LiMg10Zr cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Li(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Zr(1)Li2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LiMg10Zr 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)Mg10Zr2 cuboctahedra, corners with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, corners with four equivalent Zr(1)Li2Mg10 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)LiMg10Zr cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr 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)LiMg10Zr cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Li(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zr(1) atom to form distorted MgLiMg10Zr cuboctahedra that share corners with four equivalent Mg(7)LiMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Mg(7)LiMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Zr 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 two equivalent Zr(1)Li2Mg10 cuboctahedra,  a faceface with one Li(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)LiMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Mg(7)LiMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zr(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zr(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Mg10Zr2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Zr cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Li(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 MgLiMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with six equivalent Mg(7)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zr(1)Li2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Zr cuboctahedra. Zr(1) is bonded to two equivalent Li(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form ZrLi2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zr(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Li(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, and faces with six equivalent Mg(7)LiMg11 cuboctahedra.
LiMg14Zr crystallizes in the orthorhombic Amm2 space group. Li(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zr(1) atoms to form LiMg10Zr2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Li(1)Mg10Zr2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Zr(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Both Li(1)-Mg(7) bond lengths are 3.13 Å. There are two shorter (3.12 Å) and two longer (3.30 Å) Li(1)-Mg(3) bond lengths. All Li(1)-Mg(5) bond lengths are 3.12 Å. Both Li(1)-Zr(1) bond lengths are 3.21 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 Li(1)Mg10Zr2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Zr(1)Li2Mg10 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)LiMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.21 Å. Both Mg(1)-Mg(6) bond lengths are 3.14 Å. All Mg(1)-Mg(4) bond lengths are 3.21 Å. All Mg(1)-Mg(5) bond lengths are 3.16 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 Zr(1)Li2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Li(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zr cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.18 Å. All Mg(2)-Mg(4) bond lengths are 3.21 Å. 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 Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent Zr(1) atoms to form distorted MgLi2Mg8Zr2 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)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Zr(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(5)LiMg10Zr cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Li(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Zr(1)Li2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)LiMg10Zr cuboctahedra. There is one shorter (3.12 Å) and one longer (3.30 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.12 Å. Both Mg(3)-Mg(6) bond lengths are 3.14 Å. Both Mg(3)-Mg(7) bond lengths are 3.15 Å. There is one shorter (3.20 Å) and one longer (3.22 Å) Mg(3)-Zr(1) bond length. 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)Mg10Zr2 cuboctahedra, corners with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, corners with four equivalent Zr(1)Li2Mg10 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)LiMg10Zr cuboctahedra, edges with four equivalent Mg(7)LiMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr 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)LiMg10Zr cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.21 Å. Both Mg(4)-Mg(5) bond lengths are 3.18 Å. Both Mg(4)-Mg(6) bond lengths are 3.17 Å. Both Mg(4)-Mg(7) bond lengths are 3.19 Å. In the fifth Mg site, Mg(5) is bonded to one Li(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zr(1) atom to form distorted MgLiMg10Zr cuboctahedra that share corners with four equivalent Mg(7)LiMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with ten equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with two equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Mg(7)LiMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Zr 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 two equivalent Zr(1)Li2Mg10 cuboctahedra,  a faceface with one Li(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Zr(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.19 Å) and one longer (3.24 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.16 Å) and one longer (3.26 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.19 Å) and one longer (3.23 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zr(1) bond length is 3.12 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Zr(1) atom to form MgMg11Zr cuboctahedra that share corners with four equivalent Mg(7)LiMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Zr cuboctahedra, corners with eight equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Mg(7)LiMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Zr(1)Li2Mg10 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Zr(1)Li2Mg10 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Li(1)Mg10Zr2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Zr cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.21 Å. The Mg(6)-Zr(1) bond length is 3.12 Å. In the seventh Mg site, Mg(7) is bonded to one Li(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 MgLiMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zr cuboctahedra, corners with six equivalent Mg(7)LiMg11 cuboctahedra, corners with eight equivalent Mg(5)LiMg10Zr cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with two equivalent Mg(6)Mg11Zr cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(5)LiMg10Zr cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Li(1)Mg10Zr2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with two equivalent Mg(7)LiMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Zr(1)Li2Mg10 cuboctahedra, and faces with four equivalent Mg(5)LiMg10Zr cuboctahedra. Zr(1) is bonded to two equivalent Li(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form ZrLi2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Zr(1)Li2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Li(1)Mg10Zr2 cuboctahedra, edges with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, edges with four equivalent Mg(6)Mg11Zr cuboctahedra, edges with eight equivalent Mg(5)LiMg10Zr cuboctahedra, faces with two equivalent Li(1)Mg10Zr2 cuboctahedra, faces with two equivalent Mg(6)Mg11Zr cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Li2Mg8Zr2 cuboctahedra, faces with four equivalent Mg(5)LiMg10Zr cuboctahedra, and faces with six equivalent Mg(7)LiMg11 cuboctahedra.