CaMg14Al crystallizes in the hexagonal P-6m2 space group. Ca(1) is bonded to six Mg(2,2,2) and six Mg(3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2,2)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with six Mg(3,3)CaMg10Al cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are seven 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 Al(1) atoms to form MgMg10Al2 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight Mg(2,2)Ca2Mg10 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. In the fifth Mg site, Mg(3) is bonded to one Ca(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Al(1) atom to form distorted MgCaMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Al cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)CaMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)CaMg10Al cuboctahedra. In the sixth Mg site, Mg(3) is bonded to one Ca(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Al(1) atom to form distorted MgCaMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Al cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)CaMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)CaMg10Al cuboctahedra. In the seventh Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2,2); 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)CaMg10Al cuboctahedra; edges with six Mg(2,2,2)Ca2Mg10 cuboctahedra; edges with six Mg(3,3)CaMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)CaMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2,2)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(3,3)CaMg10Al cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra.
CaMg14Al crystallizes in the hexagonal P-6m2 space group. Ca(1) is bonded to six Mg(2,2,2) and six Mg(3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10Al2 cuboctahedra; edges with six Mg(2,2,2)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with six Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with six Mg(3,3)CaMg10Al cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. All Ca(1)-Mg(2,2,2) bond lengths are 3.21 Å. All Ca(1)-Mg(3,3) bond lengths are 3.29 Å. There are seven 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 Al(1) atoms to form MgMg10Al2 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10Al2 cuboctahedra; corners with eight Mg(2,2)Ca2Mg10 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Mg(2)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Al(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.25 Å. There are two shorter (3.19 Å) and two longer (3.24 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.15 Å. Both Mg(1)-Al(1) bond lengths are 3.21 Å. In the second Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.20 Å. There are two shorter (3.15 Å) and two longer (3.28 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.27 Å. In the third Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(2,2); and four equivalent Mg(3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.20 Å. There is one shorter (3.15 Å) and one longer (3.28 Å) Mg(2)-Mg(2) bond length. All Mg(2)-Mg(3) bond lengths are 3.27 Å. In the fourth Mg site, Mg(2) is bonded to two equivalent Ca(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent Al(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Ca2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Mg10Al2 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four Mg(2,2)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaMg10Al cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.20 Å. All Mg(2)-Mg(3,3) bond lengths are 3.27 Å. In the fifth Mg site, Mg(3) is bonded to one Ca(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four Mg(3,3); and one Al(1) atom to form distorted MgCaMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Al cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)CaMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)CaMg10Al cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.22 Å. There are two shorter (3.21 Å) and two longer (3.22 Å) Mg(3)-Mg(3,3) bond lengths. The Mg(3)-Al(1) bond length is 3.15 Å. In the sixth Mg site, Mg(3) is bonded to one Ca(1); two equivalent Mg(1); two Mg(2,2); two equivalent Mg(4); four equivalent Mg(3); and one Al(1) atom to form distorted MgCaMg10Al cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaMg10Al cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Al(1)Mg12 cuboctahedra; edges with four Mg(2,2)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)CaMg10Al cuboctahedra; edges with four equivalent Mg(1)Mg10Al2 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one Al(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with five equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six Mg(3,3)CaMg10Al cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.22 Å. The Mg(3)-Al(1) bond length is 3.15 Å. In the seventh Mg site, Mg(4) is bonded to three equivalent Mg(1); three Mg(2,2,2); 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)CaMg10Al cuboctahedra; edges with six Mg(2,2,2)Ca2Mg10 cuboctahedra; edges with six Mg(3,3)CaMg10Al cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three Mg(2,2,2)Ca2Mg10 cuboctahedra; faces with three equivalent Mg(1)Mg10Al2 cuboctahedra; faces with three equivalent Al(1)Mg12 cuboctahedra; and faces with six Mg(3,3)CaMg10Al cuboctahedra. Al(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form AlMg12 cuboctahedra that share corners with six equivalent Al(1)Mg12 cuboctahedra; corners with twelve Mg(2,2,2)Ca2Mg10 cuboctahedra; edges with six equivalent Mg(1)Mg10Al2 cuboctahedra; edges with twelve Mg(3,3)CaMg10Al cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(3,3)CaMg10Al cuboctahedra; faces with six equivalent Mg(1)Mg10Al2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra.