NaMg14La crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form NaLa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Na(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent La(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)La2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent La(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Na(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgNa2La2Mg8 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Na(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent La(1)Na2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)NaLaMg10 cuboctahedra. 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 MgMg12 cuboctahedra that share corners with four equivalent Na(1)La2Mg10 cuboctahedra, corners with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, corners with four equivalent La(1)Na2Mg10 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(6)LaMg11 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)NaLaMg10 cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Na(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 to form distorted MgNaLaMg10 cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(6)LaMg11 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 two equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, and faces with four equivalent Mg(5)NaLaMg10 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with six equivalent Mg(6)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one La(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Na(1)La2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)NaLaMg10 cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Na(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with six equivalent Mg(7)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(6)LaMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra,  a faceface with one Na(1)La2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent La(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(5)NaLaMg10 cuboctahedra. La(1) is bonded to two equivalent Na(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form LaNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent La(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Na(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra.
NaMg14La crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent La(1) atoms to form NaLa2Mg10 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Na(1)La2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent La(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. Both Na(1)-Mg(7) bond lengths are 3.28 Å. There are two shorter (3.26 Å) and two longer (3.39 Å) Na(1)-Mg(3) bond lengths. All Na(1)-Mg(5) bond lengths are 3.34 Å. Both Na(1)-La(1) bond lengths are 3.28 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)La2Mg10 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent La(1)Na2Mg10 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.28 Å. Both Mg(1)-Mg(6) bond lengths are 3.22 Å. There are two shorter (3.31 Å) and two longer (3.34 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.18 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent La(1)Na2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Na(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(6)LaMg11 cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.27 Å. There are two shorter (3.32 Å) and two longer (3.33 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.17 Å. In the third Mg site, Mg(3) is bonded to two equivalent Na(1), two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), and two equivalent La(1) atoms to form distorted MgNa2La2Mg8 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Na(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent La(1)Na2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)NaLaMg10 cuboctahedra. There is one shorter (3.20 Å) and one longer (3.35 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.31 Å. Both Mg(3)-Mg(6) bond lengths are 3.29 Å. Both Mg(3)-Mg(7) bond lengths are 3.27 Å. There is one shorter (3.32 Å) and one longer (3.33 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 MgMg12 cuboctahedra that share corners with four equivalent Na(1)La2Mg10 cuboctahedra, corners with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, corners with four equivalent La(1)Na2Mg10 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(6)LaMg11 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra, edges with four equivalent Mg(7)NaMg11 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, and faces with eight equivalent Mg(5)NaLaMg10 cuboctahedra. There is one shorter (3.27 Å) and one longer (3.28 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.16 Å. Both Mg(4)-Mg(6) bond lengths are 3.19 Å. Both Mg(4)-Mg(7) bond lengths are 3.25 Å. In the fifth Mg site, Mg(5) is bonded to one Na(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 to form distorted MgNaLaMg10 cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with ten equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(6)LaMg11 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 two equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with two equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra,  a faceface with one Na(1)La2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one La(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, and faces with four equivalent Mg(5)NaLaMg10 cuboctahedra. There is one shorter (3.26 Å) and one longer (3.30 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.27 Å) and one longer (3.38 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.30 Å) and one longer (3.36 Å) Mg(5)-Mg(7) bond length. The Mg(5)-La(1) bond length is 3.35 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one La(1) atom to form distorted MgLaMg11 cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra, corners with six equivalent Mg(6)LaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(7)NaMg11 cuboctahedra, edges with two equivalent La(1)Na2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one La(1)Na2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Na(1)La2Mg10 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, and faces with four equivalent Mg(5)NaLaMg10 cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.28 Å. The Mg(6)-La(1) bond length is 3.32 Å. In the seventh Mg site, Mg(7) is bonded to one Na(1), one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), and four equivalent Mg(5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)LaMg11 cuboctahedra, corners with six equivalent Mg(7)NaMg11 cuboctahedra, corners with eight equivalent Mg(5)NaLaMg10 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with two equivalent Mg(6)LaMg11 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with four equivalent Mg(5)NaLaMg10 cuboctahedra,  a faceface with one Na(1)La2Mg10 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with two equivalent Mg(7)NaMg11 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent La(1)Na2Mg10 cuboctahedra, and faces with four equivalent Mg(5)NaLaMg10 cuboctahedra. La(1) is bonded to two equivalent Na(1), two equivalent Mg(6), four equivalent Mg(3), and four equivalent Mg(5) atoms to form LaNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent La(1)Na2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Na(1)La2Mg10 cuboctahedra, edges with four equivalent Mg(6)LaMg11 cuboctahedra, edges with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, edges with eight equivalent Mg(5)NaLaMg10 cuboctahedra, faces with two equivalent Na(1)La2Mg10 cuboctahedra, faces with two equivalent Mg(6)LaMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with four equivalent Mg(3)Na2La2Mg8 cuboctahedra, faces with four equivalent Mg(5)NaLaMg10 cuboctahedra, and faces with six equivalent Mg(7)NaMg11 cuboctahedra.