KCaMg14 crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ca2Mg10 cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(2,2)K2Mg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. Ca(1) is bonded to six Mg(1,1) 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)K2Mg10 cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ca2Mg10 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 Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight Mg(2,2)K2Mg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(1,1)Ca2Mg10 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight Mg(1,1)Ca2Mg10 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(2,2)K2Mg10 cuboctahedra. In the third 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 K(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra, corners with eight equivalent Mg(2)K2Mg10 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, faces with two equivalent Ca(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)K2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra. In the fourth Mg site, Mg(2) is bonded to two equivalent K(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)K2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Ca2Mg10 cuboctahedra, edges with two equivalent K(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)K2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent K(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(2)K2Mg10 cuboctahedra. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1); one Ca(1); two Mg(1,1); two Mg(2,2); two equivalent Mg(4); and four Mg(3,3) atoms. In the sixth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1), one Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Mg(3) atoms. In the seventh Mg site, Mg(4) is bonded to three Mg(1,1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three Mg(1,1)Ca2Mg10 cuboctahedra; and faces with three Mg(2,2)K2Mg10 cuboctahedra.
KCaMg14 crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six Mg(2,2) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve Mg(1,1)Ca2Mg10 cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with six Mg(2,2)K2Mg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. All K(1)-Mg(2,2) bond lengths are 3.36 Å. All K(1)-Mg(3,3) bond lengths are 3.35 Å. Ca(1) is bonded to six Mg(1,1) 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)K2Mg10 cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six Mg(1,1)Ca2Mg10 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. All Ca(1)-Mg(1,1) bond lengths are 3.36 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 Ca(1); two equivalent Mg(4); four Mg(1,1); and four Mg(3,3) atoms to form distorted MgCa2Mg10 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra; corners with eight Mg(2,2)K2Mg10 cuboctahedra; edges with two equivalent Ca(1)Mg12 cuboctahedra; edges with four Mg(1,1)Ca2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Ca(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(1,1)Ca2Mg10 cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.29 Å. There are two shorter (3.30 Å) and two longer (3.41 Å) Mg(1)-Mg(1,1) bond lengths. All Mg(1)-Mg(3,3) bond lengths are 3.21 Å. In the second Mg site, Mg(2) is bonded to two equivalent K(1); two equivalent Mg(4); four Mg(2,2); and four Mg(3,3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)K2Mg10 cuboctahedra; corners with eight Mg(1,1)Ca2Mg10 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four Mg(2,2)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; and faces with four Mg(2,2)K2Mg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.29 Å. There are two shorter (3.32 Å) and two longer (3.40 Å) Mg(2)-Mg(2,2) bond lengths. All Mg(2)-Mg(3,3) bond lengths are 3.28 Å. In the third 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 K(1)Mg12 cuboctahedra, corners with six equivalent Mg(1)Ca2Mg10 cuboctahedra, corners with eight equivalent Mg(2)K2Mg10 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, faces with two equivalent Ca(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)K2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(1)Ca2Mg10 cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.29 Å. All Mg(1)-Mg(3) bond lengths are 3.21 Å. In the fourth Mg site, Mg(2) is bonded to two equivalent K(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Ca(1)Mg12 cuboctahedra, corners with six equivalent Mg(2)K2Mg10 cuboctahedra, corners with eight equivalent Mg(1)Ca2Mg10 cuboctahedra, edges with two equivalent K(1)Mg12 cuboctahedra, edges with four equivalent Mg(2)K2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent K(1)Mg12 cuboctahedra, faces with two equivalent Mg(1)Ca2Mg10 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with four equivalent Mg(2)K2Mg10 cuboctahedra. Both Mg(2)-Mg(4) bond lengths are 3.29 Å. All Mg(2)-Mg(3) bond lengths are 3.28 Å. In the fifth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1); one Ca(1); two Mg(1,1); two Mg(2,2); two equivalent Mg(4); and four Mg(3,3) atoms. Both Mg(3)-Mg(4) bond lengths are 3.36 Å. There are two shorter (3.23 Å) and two longer (3.49 Å) Mg(3)-Mg(3,3) bond lengths. In the sixth Mg site, Mg(3) is bonded in a 12-coordinate geometry to one K(1), one Ca(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), and four equivalent Mg(3) atoms. Both Mg(3)-Mg(4) bond lengths are 3.36 Å. In the seventh Mg site, Mg(4) is bonded to three Mg(1,1); three Mg(2,2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; edges with six Mg(1,1)Ca2Mg10 cuboctahedra; edges with six Mg(2,2)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three equivalent Ca(1)Mg12 cuboctahedra; faces with three Mg(1,1)Ca2Mg10 cuboctahedra; and faces with three Mg(2,2)K2Mg10 cuboctahedra.