NaMg14Sn crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Sn2 cuboctahedra; corners with eight Mg(2,2)Na2Mg10 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Sn2 cuboctahedra; and faces with ten Mg(3,3)NaMg10Sn cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Sn cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight equivalent Mg(3)NaMg10Sn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Sn cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Sn(1) atom to form distorted MgNaMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Sn cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four Mg(2,2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaMg10Sn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five Mg(2,2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Sn(1) atom to form distorted MgNaMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Sn cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Sn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five Mg(2,2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)NaMg10Sn cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with three Mg(2,2)Na2Mg10 cuboctahedra; faces with three equivalent Sn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. Sn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form SnMg12 cuboctahedra that share corners with six equivalent Sn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with twelve Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra.
NaMg14Sn crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six Mg(2,2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. All Na(1)-Mg(2,2) bond lengths are 3.18 Å. All Na(1)-Mg(3,3) bond lengths are 3.25 Å. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3); and two equivalent Sn(1) atoms to form distorted MgMg10Sn2 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Sn2 cuboctahedra; corners with eight Mg(2,2)Na2Mg10 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with two equivalent Sn(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Sn2 cuboctahedra; and faces with ten Mg(3,3)NaMg10Sn cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.26 Å. There are two shorter (3.17 Å) and two longer (3.20 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.23 Å. Both Mg(1)-Sn(1) bond lengths are 3.18 Å. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four Mg(2,2)Na2Mg10 cuboctahedra; edges with eight Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Sn cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.23 Å. There are two shorter (3.16 Å) and two longer (3.21 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.24 Å. In the third Mg site, Mg(2) is bonded to two equivalent Na(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Sn(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with eight equivalent Mg(3)NaMg10Sn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3)NaMg10Sn cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.23 Å. All Mg(2)-Mg(3) bond lengths are 3.24 Å. In the fourth Mg site, Mg(3) is bonded to one Na(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Sn(1) atom to form distorted MgNaMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Sn cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four Mg(2,2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaMg10Sn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five Mg(2,2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.18 Å. There are two shorter (3.16 Å) and two longer (3.21 Å) Mg(3)-Mg(3,3) bond lengths. The Mg(3)-Sn(1) bond length is 3.24 Å. In the fifth Mg site, Mg(3) is bonded to one Na(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Sn(1) atom to form distorted MgNaMg10Sn cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)NaMg10Sn cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Sn(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four equivalent Mg(3)NaMg10Sn cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Sn(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with five Mg(2,2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.18 Å. The Mg(3)-Sn(1) bond length is 3.24 Å. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)NaMg10Sn cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with six Mg(2,2)Na2Mg10 cuboctahedra; edges with six Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with three Mg(2,2)Na2Mg10 cuboctahedra; faces with three equivalent Sn(1)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra. Sn(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form SnMg12 cuboctahedra that share corners with six equivalent Sn(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Sn2 cuboctahedra; edges with twelve Mg(3,3)NaMg10Sn cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Mg10Sn2 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3)NaMg10Sn cuboctahedra.