KNaMg14 crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Na(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form KNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent Na(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. Na(1) is bonded to two equivalent K(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form NaK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Na(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent K(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, and faces with six equivalent Mg(6)KMg11 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 Na(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent K(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 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 K(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent Na(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent K(1), two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. 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)Na2Mg10 cuboctahedra, corners with four equivalent Na(1)K2Mg10 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(6)KMg11 cuboctahedra, edges with four equivalent Mg(5)KNaMg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mg(6)KMg11 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, faces with two equivalent Mg(7)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)KNaMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one K(1), one Na(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 MgKNaMg10 cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)KNaMg10 cuboctahedra, edges with two equivalent K(1)Na2Mg10 cuboctahedra, edges with two equivalent Na(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(5)KNaMg10 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 Mg(7)NaMg11 cuboctahedra,  a faceface with one K(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)K2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one K(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 MgKMg11 cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with six equivalent Mg(6)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KNaMg10 cuboctahedra, edges with two equivalent K(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with four equivalent Mg(5)KNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Na(1)K2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KNaMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Na(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 MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with six equivalent Mg(7)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)KNaMg10 cuboctahedra, edges with two equivalent Na(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Na(1)K2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent K(1)Na2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KNaMg10 cuboctahedra.
KNaMg14 crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Na(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form KNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent K(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent Na(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. Both K(1)-Na(1) bond lengths are 3.22 Å. Both K(1)-Mg(6) bond lengths are 3.46 Å. There are two shorter (3.30 Å) and two longer (3.31 Å) K(1)-Mg(3) bond lengths. All K(1)-Mg(5) bond lengths are 3.48 Å. Na(1) is bonded to two equivalent K(1), two equivalent Mg(7), four equivalent Mg(3), and four equivalent Mg(5) atoms to form NaK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Na(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent K(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent K(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. Both Na(1)-Mg(7) bond lengths are 3.36 Å. There are two shorter (3.29 Å) and two longer (3.32 Å) Na(1)-Mg(3) bond lengths. All Na(1)-Mg(5) bond lengths are 3.46 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 Na(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)KMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent K(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.22 Å. Both Mg(1)-Mg(6) bond lengths are 3.25 Å. There are two shorter (3.30 Å) and two longer (3.31 Å) Mg(1)-Mg(4) bond lengths. 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 K(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)KNaMg10 cuboctahedra, faces with two equivalent Na(1)K2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)KMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.32 Å. There are two shorter (3.30 Å) and two longer (3.31 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.13 Å. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent K(1), two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms. There is one shorter (3.20 Å) and one longer (3.23 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.46 Å. Both Mg(3)-Mg(6) bond lengths are 3.37 Å. Both Mg(3)-Mg(7) bond lengths are 3.30 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)Na2Mg10 cuboctahedra, corners with four equivalent Na(1)K2Mg10 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(6)KMg11 cuboctahedra, edges with four equivalent Mg(5)KNaMg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mg(6)KMg11 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, faces with two equivalent Mg(7)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)KNaMg10 cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.22 Å. Both Mg(4)-Mg(5) bond lengths are 3.13 Å. Both Mg(4)-Mg(6) bond lengths are 3.17 Å. Both Mg(4)-Mg(7) bond lengths are 3.26 Å. In the fifth Mg site, Mg(5) is bonded to one K(1), one Na(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 MgKNaMg10 cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)KNaMg10 cuboctahedra, edges with two equivalent K(1)Na2Mg10 cuboctahedra, edges with two equivalent Na(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(5)KNaMg10 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 Mg(7)NaMg11 cuboctahedra,  a faceface with one K(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)K2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(5)KNaMg10 cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.16 Å) and one longer (3.27 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.19 Å) and one longer (3.42 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.26 Å) and one longer (3.37 Å) Mg(5)-Mg(7) bond length. In the sixth Mg site, Mg(6) is bonded to one K(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 MgKMg11 cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with six equivalent Mg(6)KMg11 cuboctahedra, corners with eight equivalent Mg(5)KNaMg10 cuboctahedra, edges with two equivalent K(1)Na2Mg10 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with four equivalent Mg(5)KNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one K(1)Na2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Na(1)K2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KNaMg10 cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.22 Å. In the seventh Mg site, Mg(7) is bonded to one Na(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 MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)KMg11 cuboctahedra, corners with six equivalent Mg(7)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)KNaMg10 cuboctahedra, edges with two equivalent Na(1)K2Mg10 cuboctahedra, edges with two equivalent Mg(6)KMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(5)KNaMg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Na(1)K2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)KMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent K(1)Na2Mg10 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, and faces with four equivalent Mg(5)KNaMg10 cuboctahedra.