NaCaMg14 crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(2) and six Mg(3,3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3,3)NaCaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. Ca(1) is bonded to six equivalent Mg(1) and six Mg(3,3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3,3)NaCaMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaCaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)NaCaMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Ca2Mg10 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 Mg(3,3)NaCaMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)NaCaMg10 cuboctahedra. In the third Mg site, Mg(3) is bonded to one Na(1); one Ca(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgNaCaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)NaCaMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCaMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Na(1); one Ca(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgNaCaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)NaCaMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCaMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Na(1); one Ca(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgNaCaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)NaCaMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCaMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3,3)NaCaMg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(3,3,3)NaCaMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with three equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra.
NaCaMg14 crystallizes in the hexagonal P-6m2 space group. Na(1) is bonded to six equivalent Mg(2) and six Mg(3,3,3) atoms to form NaMg12 cuboctahedra that share corners with six equivalent Na(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with twelve Mg(3,3,3)NaCaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; faces with six equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. All Na(1)-Mg(2) bond lengths are 3.30 Å. All Na(1)-Mg(3,3,3) bond lengths are 3.22 Å. Ca(1) is bonded to six equivalent Mg(1) and six Mg(3,3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3,3)NaCaMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with six equivalent Mg(4)Mg12 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. All Ca(1)-Mg(1) bond lengths are 3.30 Å. All Ca(1)-Mg(3,3,3) bond lengths are 3.27 Å. There are six inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Ca(1); two equivalent Mg(4); four equivalent Mg(1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Na(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Na2Mg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)NaCaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(2)Na2Mg10 cuboctahedra; faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)NaCaMg10 cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.22 Å. There are two shorter (3.24 Å) and two longer (3.36 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.22 Å. In the second Mg site, Mg(2) is bonded to two equivalent Na(1); two equivalent Mg(4); four equivalent Mg(2); and four Mg(3,3) atoms to form distorted MgNa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Na2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Ca2Mg10 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 Mg(3,3)NaCaMg10 cuboctahedra; faces with two equivalent Na(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with ten Mg(3,3,3)NaCaMg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.24 Å. There are two shorter (3.27 Å) and two longer (3.33 Å) Mg(2)-Mg(2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.17 Å. In the third Mg site, Mg(3) is bonded to one Na(1); one Ca(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgNaCaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)NaCaMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCaMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.30 Å. There are two shorter (3.22 Å) and two longer (3.38 Å) Mg(3)-Mg(3,3) bond lengths. In the fourth Mg site, Mg(3) is bonded to one Na(1); one Ca(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgNaCaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)NaCaMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCaMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.30 Å. There is one shorter (3.22 Å) and one longer (3.38 Å) Mg(3)-Mg(3) bond length. In the fifth Mg site, Mg(3) is bonded to one Na(1); one Ca(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); and four Mg(3,3) atoms to form distorted MgNaCaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3,3)NaCaMg10 cuboctahedra; edges with two equivalent Na(1)Mg12 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(2)Na2Mg10 cuboctahedra; edges with four Mg(3,3)NaCaMg10 cuboctahedra;  a faceface with one Na(1)Mg12 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.22 Å. Both Mg(3)-Mg(2) bond lengths are 3.17 Å. Both Mg(3)-Mg(4) bond lengths are 3.30 Å. In the sixth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3,3)NaCaMg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(2)Na2Mg10 cuboctahedra; edges with six Mg(3,3,3)NaCaMg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Na(1)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with three equivalent Mg(2)Na2Mg10 cuboctahedra; and faces with six Mg(3,3,3)NaCaMg10 cuboctahedra.