CaMg14La crystallizes in the hexagonal P-6m2 space group. Ca(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)La2Mg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaLaMg10 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with six Mg(3,3)CaLaMg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 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 equivalent Mg(3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight Mg(2,2)La2Mg10 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 equivalent Mg(3)CaLaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaLaMg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four equivalent Mg(3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)CaLaMg10 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(2,2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaLaMg10 cuboctahedra. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaLaMg10 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaLaMg10 cuboctahedra. In the fourth 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 La(1) atom to form distorted MgCaLaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaLaMg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)CaLaMg10 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; and faces with six Mg(3,3)CaLaMg10 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 equivalent Mg(3); and one La(1) atom to form distorted MgCaLaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaLaMg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)CaLaMg10 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; and faces with six Mg(3,3)CaLaMg10 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)CaLaMg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six Mg(3,3)CaLaMg10 cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with three Mg(2,2)La2Mg10 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; and faces with six Mg(3,3)CaLaMg10 cuboctahedra. La(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaLaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(3,3)CaLaMg10 cuboctahedra; faces with six Mg(2,2)La2Mg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra.
CaMg14La crystallizes in the hexagonal P-6m2 space group. Ca(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form CaMg12 cuboctahedra that share corners with six equivalent Ca(1)Mg12 cuboctahedra; corners with twelve Mg(2,2)La2Mg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaLaMg10 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with six Mg(3,3)CaLaMg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. All Ca(1)-Mg(1) bond lengths are 3.36 Å. All Ca(1)-Mg(3,3) bond lengths are 3.28 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 equivalent Mg(3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent La(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight Mg(2,2)La2Mg10 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 equivalent Mg(3)CaLaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaLaMg10 cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.28 Å. There are two shorter (3.31 Å) and two longer (3.41 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3) bond lengths are 3.22 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4); four Mg(2,2); four equivalent Mg(3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)CaLaMg10 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four Mg(2,2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaLaMg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.26 Å. There are two shorter (3.29 Å) and two longer (3.43 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3) bond lengths are 3.23 Å. Both Mg(2)-La(1) bond lengths are 3.36 Å. In the third Mg site, Mg(2) is bonded to two equivalent Mg(4); four equivalent Mg(2); four Mg(3,3); and two equivalent La(1) atoms to form distorted MgLa2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)La2Mg10 cuboctahedra; corners with eight equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)La2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight Mg(3,3)CaLaMg10 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent La(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)La2Mg10 cuboctahedra; and faces with ten Mg(3,3)CaLaMg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.26 Å. All Mg(2)-Mg(3,3) bond lengths are 3.23 Å. Both Mg(2)-La(1) bond lengths are 3.36 Å. In the fourth 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 La(1) atom to form distorted MgCaLaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaLaMg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four Mg(3,3)CaLaMg10 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; and faces with six Mg(3,3)CaLaMg10 cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.36 Å. There are two shorter (3.26 Å) and two longer (3.46 Å) Mg(3)-Mg(3,3) bond lengths. The Mg(3)-La(1) bond length is 3.29 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 equivalent Mg(3); and one La(1) atom to form distorted MgCaLaMg10 cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)CaLaMg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent La(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(3)CaLaMg10 cuboctahedra; edges with four Mg(2,2)La2Mg10 cuboctahedra;  a faceface with one Ca(1)Mg12 cuboctahedra;  a faceface with one La(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with five Mg(2,2)La2Mg10 cuboctahedra; and faces with six Mg(3,3)CaLaMg10 cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.22 Å. The Mg(3)-Mg(2) bond length is 3.23 Å. Both Mg(3)-Mg(4) bond lengths are 3.36 Å. The Mg(3)-La(1) bond length is 3.29 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)CaLaMg10 cuboctahedra; edges with six equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six Mg(3,3)CaLaMg10 cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with three Mg(2,2)La2Mg10 cuboctahedra; faces with three equivalent La(1)Mg12 cuboctahedra; and faces with six Mg(3,3)CaLaMg10 cuboctahedra. La(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form LaMg12 cuboctahedra that share corners with six equivalent La(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Ca2Mg10 cuboctahedra; edges with six Mg(2,2)La2Mg10 cuboctahedra; edges with twelve Mg(3,3)CaLaMg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(3,3)CaLaMg10 cuboctahedra; faces with six Mg(2,2)La2Mg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra.