KMg14Zn crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zn(1) atoms to form KMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Zn cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn 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 K(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Zn cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)KMg11 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 six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Zn cuboctahedra, faces with two equivalent K(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. In the third Mg site, Mg(3) is bonded in a 3-coordinate geometry to two equivalent K(1), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zn(1) atom. 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 K(1)Mg10Zn2 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)KMg10Zn cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn 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)KMg10Zn cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one K(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 Zn(1) atom to form distorted MgKMg10Zn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with ten equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent K(1)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Zn 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 K(1)Mg10Zn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with four equivalent Mg(5)KMg10Zn 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 Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Zn cuboctahedra, corners with eight equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Zn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Zn cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one K(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 MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with six equivalent Mg(7)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent K(1)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Zn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Zn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Zn cuboctahedra. Zn(1) is bonded in a 10-coordinate geometry to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(6), and four equivalent Mg(5) atoms.
KMg14Zn crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Zn(1) atoms to form KMg10Zn2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent K(1)Mg10Zn2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KMg10Zn cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Both K(1)-Mg(7) bond lengths are 3.37 Å. There are two shorter (3.25 Å) and two longer (3.26 Å) K(1)-Mg(3) bond lengths. All K(1)-Mg(5) bond lengths are 3.35 Å. Both K(1)-Zn(1) bond lengths are 3.24 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 K(1)Mg10Zn2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Zn cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)KMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.24 Å. Both Mg(1)-Mg(6) bond lengths are 3.29 Å. There are two shorter (3.24 Å) and two longer (3.27 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.12 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 six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KMg10Zn cuboctahedra, faces with two equivalent K(1)Mg10Zn2 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Zn cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.15 Å. There are two shorter (3.23 Å) and two longer (3.27 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.18 Å. In the third Mg site, Mg(3) is bonded in a 3-coordinate geometry to two equivalent K(1), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one Zn(1) atom. Both Mg(3)-Mg(5) bond lengths are 3.29 Å. Both Mg(3)-Mg(6) bond lengths are 3.20 Å. Both Mg(3)-Mg(7) bond lengths are 3.32 Å. The Mg(3)-Zn(1) bond length is 3.08 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 K(1)Mg10Zn2 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)KMg10Zn cuboctahedra, edges with four equivalent Mg(7)KMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn 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)KMg10Zn cuboctahedra. There is one shorter (3.21 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 3.32 Å. Both Mg(4)-Mg(7) bond lengths are 3.11 Å. In the fifth Mg site, Mg(5) is bonded to one K(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 Zn(1) atom to form distorted MgKMg10Zn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with ten equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent K(1)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Zn 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 K(1)Mg10Zn2 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with four equivalent Mg(5)KMg10Zn cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.12 Å) and one longer (3.36 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.21 Å) and one longer (3.30 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.17 Å) and one longer (3.34 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Zn(1) bond length is 3.26 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 Zn(1) atom to form distorted MgMg11Zn cuboctahedra that share corners with four equivalent Mg(7)KMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Zn cuboctahedra, corners with eight equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent Mg(7)KMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent K(1)Mg10Zn2 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Zn cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.25 Å. The Mg(6)-Zn(1) bond length is 3.20 Å. In the seventh Mg site, Mg(7) is bonded to one K(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 MgKMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Zn cuboctahedra, corners with six equivalent Mg(7)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KMg10Zn cuboctahedra, edges with two equivalent K(1)Mg10Zn2 cuboctahedra, edges with two equivalent Mg(6)Mg11Zn cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KMg10Zn cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Mg10Zn2 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)KMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Zn cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KMg10Zn cuboctahedra. Zn(1) is bonded in a 10-coordinate geometry to two equivalent K(1), two equivalent Mg(3), two equivalent Mg(6), and four equivalent Mg(5) atoms.