KMg14La crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form KLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent K(1)La2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 cuboctahedra. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four equivalent Mg(5) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent La(1)K2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with four Mg(4,4)Mg12 cuboctahedra. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to two equivalent K(1), one Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra, corners with four equivalent La(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with four equivalent La(1)K2Mg10 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; and faces with two equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom. In the eighth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one K(1); one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); and four Mg(5,5) atoms. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with six equivalent Mg(7)LaMg11 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)La2Mg10 cuboctahedra; and faces with three equivalent Mg(1)Mg12 cuboctahedra. La(1) is bonded to two equivalent K(1); two equivalent Mg(7); four equivalent Mg(3); and four Mg(5,5) atoms to form LaK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent La(1)K2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent K(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; and faces with two equivalent Mg(2)Mg12 cuboctahedra.
KMg14La crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form KLa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent K(1)La2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 cuboctahedra. Both K(1)-Mg(6) bond lengths are 3.39 Å. There are two shorter (3.30 Å) and two longer (3.37 Å) K(1)-Mg(3) bond lengths. All K(1)-Mg(5) bond lengths are 3.48 Å. Both K(1)-La(1) bond lengths are 3.48 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2); two equivalent Mg(6); four Mg(4,4); and four equivalent Mg(5) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent La(1)K2Mg10 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; and faces with six equivalent Mg(7)LaMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.47 Å. Both Mg(1)-Mg(6) bond lengths are 3.22 Å. There are two shorter (3.31 Å) and two longer (3.36 Å) Mg(1)-Mg(4,4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.13 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1); two equivalent Mg(7); four Mg(4,4); and four Mg(5,5) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent La(1)K2Mg10 cuboctahedra; and faces with four Mg(4,4)Mg12 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.23 Å. There are two shorter (3.29 Å) and two longer (3.38 Å) Mg(2)-Mg(4,4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.11 Å. In the third Mg site, Mg(3) is bonded in a 11-coordinate geometry to two equivalent K(1), one Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms. The Mg(3)-Mg(3) bond length is 3.33 Å. Both Mg(3)-Mg(5) bond lengths are 3.45 Å. Both Mg(3)-Mg(6) bond lengths are 3.38 Å. Both Mg(3)-Mg(7) bond lengths are 3.28 Å. There is one shorter (3.29 Å) and one longer (3.38 Å) Mg(3)-La(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra, corners with four equivalent La(1)K2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(7)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, and faces with two equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.45 Å) and one longer (3.50 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.09 Å. Both Mg(4)-Mg(6) bond lengths are 3.19 Å. Both Mg(4)-Mg(7) bond lengths are 3.22 Å. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form distorted MgMg12 cuboctahedra that share corners with four equivalent K(1)La2Mg10 cuboctahedra; corners with four equivalent La(1)K2Mg10 cuboctahedra; corners with six Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; and faces with two equivalent Mg(4)Mg12 cuboctahedra. Both Mg(4)-Mg(5) bond lengths are 3.09 Å. Both Mg(4)-Mg(6) bond lengths are 3.19 Å. Both Mg(4)-Mg(7) bond lengths are 3.22 Å. In the sixth Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom. There is one shorter (3.44 Å) and one longer (3.51 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.26 Å) and one longer (3.42 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.31 Å) and one longer (3.37 Å) Mg(5)-Mg(7) bond length. The Mg(5)-La(1) bond length is 3.43 Å. In the seventh Mg site, Mg(5) is bonded in a 12-coordinate geometry to one K(1), one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and one La(1) atom. The Mg(5)-K(1) bond length is 3.48 Å. The Mg(5)-Mg(1) bond length is 3.13 Å. The Mg(5)-Mg(3) bond length is 3.45 Å. There is one shorter (3.26 Å) and one longer (3.42 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.31 Å) and one longer (3.37 Å) Mg(5)-Mg(7) bond length. The Mg(5)-La(1) bond length is 3.43 Å. In the eighth Mg site, Mg(6) is bonded in a 12-coordinate geometry to one K(1); one Mg(1); two equivalent Mg(3); two Mg(4,4); two equivalent Mg(7); and four Mg(5,5) atoms. Both Mg(6)-Mg(7) bond lengths are 3.47 Å. In the ninth Mg site, Mg(7) is bonded to one Mg(2); two equivalent Mg(3); two equivalent Mg(4); two equivalent Mg(6); four Mg(5,5); and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with six equivalent Mg(7)LaMg11 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with two equivalent La(1)K2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one La(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)La2Mg10 cuboctahedra; and faces with three equivalent Mg(1)Mg12 cuboctahedra. The Mg(7)-La(1) bond length is 3.40 Å. La(1) is bonded to two equivalent K(1); two equivalent Mg(7); four equivalent Mg(3); and four Mg(5,5) atoms to form LaK2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent La(1)K2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent K(1)La2Mg10 cuboctahedra; edges with four equivalent Mg(7)LaMg11 cuboctahedra; faces with two equivalent K(1)La2Mg10 cuboctahedra; faces with two equivalent Mg(7)LaMg11 cuboctahedra; and faces with two equivalent Mg(2)Mg12 cuboctahedra.