NaMg14V crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5); and two equivalent V(1) atoms to form NaMg10V2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Na(1)Mg10V2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; faces with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(6)Mg11V cuboctahedra. There are thirteen 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10V2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10V 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 Mg(4,4); and four Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent V(1)Na2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(6)Mg11V 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 V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(5,5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V 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)Mg10V2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8V2 cuboctahedra; corners with four equivalent V(1)Na2Mg10 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(6)Mg11V cuboctahedra; edges with four Mg(5,5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. In the fifth Mg site, Mg(3) is bonded to two equivalent Na(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four equivalent Mg(5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5)NaMg10V cuboctahedra. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10V2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8V2 cuboctahedra; corners with four equivalent V(1)Na2Mg10 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(6)Mg11V cuboctahedra; edges with four equivalent Mg(5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5)NaMg10V cuboctahedra. In the seventh 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 V(1) atom to form distorted MgNaMg10V cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(5)NaMg10V cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Na2Mg8V2 cuboctahedra; and faces with four Mg(5,5)NaMg10V cuboctahedra. In the eighth 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 V(1) atom to form distorted MgNaMg10V cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(5)NaMg10V cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Na2Mg8V2 cuboctahedra; and faces with four equivalent Mg(5)NaMg10V cuboctahedra. In the ninth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5,5); and one V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11V cuboctahedra; corners with eight Mg(5,5,5)NaMg10V cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with four Mg(5,5,5)NaMg10V cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Na(1)Mg10V2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5,5)NaMg10V cuboctahedra. In the tenth Mg site, Mg(7) is bonded to one Na(1); one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with six equivalent Mg(7)NaMg11 cuboctahedra; corners with eight Mg(5,5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with four Mg(5,5,5)NaMg10V cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent V(1)Na2Mg10 cuboctahedra; and faces with four Mg(5,5,5)NaMg10V cuboctahedra. In the eleventh Mg site, Mg(3) is bonded to two equivalent Na(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four equivalent Mg(5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. In the twelfth 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 V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(5,5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. In the thirteenth 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 V(1) atom to form distorted MgNaMg10V cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(5)NaMg10V cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Na2Mg8V2 cuboctahedra; and faces with four Mg(5,5)NaMg10V cuboctahedra. V(1) is bonded to two equivalent Na(1); two equivalent Mg(6); four Mg(3,3,3,3); and four Mg(5,5) atoms to form VNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent V(1)Na2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra.
NaMg14V crystallizes in the orthorhombic Amm2 space group. Na(1) is bonded to two equivalent Mg(7); four Mg(3,3,3,3); four Mg(5,5); and two equivalent V(1) atoms to form NaMg10V2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra; corners with six equivalent Na(1)Mg10V2 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; faces with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(6)Mg11V cuboctahedra. Both Na(1)-Mg(7) bond lengths are 3.19 Å. There are two shorter (3.19 Å) and two longer (3.20 Å) Na(1)-Mg(3,3,3,3) bond lengths. All Na(1)-Mg(5,5) bond lengths are 3.17 Å. Both Na(1)-V(1) bond lengths are 3.22 Å. There are thirteen 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 Mg(5,5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10V2 cuboctahedra; corners with six equivalent Mg(1)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(2)Mg12 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.22 Å. Both Mg(1)-Mg(6) bond lengths are 3.18 Å. All Mg(1)-Mg(4,4) bond lengths are 3.19 Å. All Mg(1)-Mg(5,5) bond lengths are 3.14 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 MgMg12 cuboctahedra that share corners with four equivalent V(1)Na2Mg10 cuboctahedra; corners with six equivalent Mg(2)Mg12 cuboctahedra; corners with eight Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(6)Mg11V cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.14 Å. There are two shorter (3.18 Å) and two longer (3.20 Å) Mg(2)-Mg(4,4) bond lengths. All Mg(2)-Mg(5,5) bond lengths are 3.19 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 V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(5,5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. Both Mg(3)-Mg(3) bond lengths are 3.22 Å. Both Mg(3)-Mg(5) bond lengths are 3.15 Å. Both Mg(3)-Mg(6) bond lengths are 3.13 Å. Both Mg(3)-Mg(7) bond lengths are 3.18 Å. There is one shorter (3.18 Å) and one longer (3.21 Å) Mg(3)-V(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)Mg10V2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8V2 cuboctahedra; corners with four equivalent V(1)Na2Mg10 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(6)Mg11V cuboctahedra; edges with four Mg(5,5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. There is one shorter (3.21 Å) and one longer (3.23 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.17 Å. Both Mg(4)-Mg(6) bond lengths are 3.21 Å. Both Mg(4)-Mg(7) bond lengths are 3.13 Å. In the fifth Mg site, Mg(3) is bonded to two equivalent Na(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four equivalent Mg(5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5)NaMg10V cuboctahedra. Both Mg(3)-Mg(3) bond lengths are 3.22 Å. Both Mg(3)-Mg(5,5) bond lengths are 3.15 Å. Both Mg(3)-Mg(6) bond lengths are 3.13 Å. Both Mg(3)-Mg(7) bond lengths are 3.18 Å. There is one shorter (3.18 Å) and one longer (3.21 Å) Mg(3)-V(1) bond length. In the sixth Mg site, Mg(4) is bonded to two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); two Mg(5,5); two equivalent Mg(6); and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Na(1)Mg10V2 cuboctahedra; corners with four equivalent Mg(3)Na2Mg8V2 cuboctahedra; corners with four equivalent V(1)Na2Mg10 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(6)Mg11V cuboctahedra; edges with four equivalent Mg(5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; and faces with eight Mg(5,5)NaMg10V cuboctahedra. There is one shorter (3.21 Å) and one longer (3.23 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5,5) bond lengths are 3.17 Å. Both Mg(4)-Mg(6) bond lengths are 3.21 Å. Both Mg(4)-Mg(7) bond lengths are 3.13 Å. In the seventh 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 V(1) atom to form distorted MgNaMg10V cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(5)NaMg10V cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Na2Mg8V2 cuboctahedra; and faces with four Mg(5,5)NaMg10V cuboctahedra. There is one shorter (3.13 Å) and one longer (3.31 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.13 Å) and one longer (3.25 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.16 Å) and one longer (3.22 Å) Mg(5)-Mg(7) bond length. The Mg(5)-V(1) bond length is 3.12 Å. In the eighth 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 V(1) atom to form distorted MgNaMg10V cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(5)NaMg10V cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Na2Mg8V2 cuboctahedra; and faces with four equivalent Mg(5)NaMg10V cuboctahedra. There is one shorter (3.13 Å) and one longer (3.31 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.13 Å) and one longer (3.25 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.16 Å) and one longer (3.22 Å) Mg(5)-Mg(7) bond length. The Mg(5)-V(1) bond length is 3.12 Å. In the ninth Mg site, Mg(6) is bonded to one Mg(1); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(7); four Mg(5,5,5); and one V(1) atom to form distorted MgMg11V cuboctahedra that share corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with six equivalent Mg(6)Mg11V cuboctahedra; corners with eight Mg(5,5,5)NaMg10V cuboctahedra; edges with two equivalent Mg(1)Mg12 cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with four Mg(5,5,5)NaMg10V cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Na(1)Mg10V2 cuboctahedra; faces with three equivalent Mg(2)Mg12 cuboctahedra; and faces with four Mg(5,5,5)NaMg10V cuboctahedra. The Mg(6)-Mg(3) bond length is 3.13 Å. Both Mg(6)-Mg(7) bond lengths are 3.22 Å. The Mg(6)-Mg(5) bond length is 3.25 Å. The Mg(6)-V(1) bond length is 3.09 Å. In the tenth Mg site, Mg(7) is bonded to one Na(1); one Mg(2); two Mg(3,3); two equivalent Mg(4); two equivalent Mg(6); and four Mg(5,5,5) atoms to form distorted MgNaMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with six equivalent Mg(7)NaMg11 cuboctahedra; corners with eight Mg(5,5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V cuboctahedra; edges with two equivalent Mg(2)Mg12 cuboctahedra; edges with four Mg(4,4)Mg12 cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with four Mg(5,5,5)NaMg10V cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two Mg(3,3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with three equivalent Mg(1)Mg12 cuboctahedra; faces with three equivalent V(1)Na2Mg10 cuboctahedra; and faces with four Mg(5,5,5)NaMg10V cuboctahedra. The Mg(7)-Mg(3) bond length is 3.18 Å. The Mg(7)-Mg(5) bond length is 3.16 Å. In the eleventh Mg site, Mg(3) is bonded to two equivalent Na(1); two equivalent Mg(3); two Mg(5,5); two equivalent Mg(6); two equivalent Mg(7); and two equivalent V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four equivalent Mg(5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. Both Mg(3)-Mg(5,5) bond lengths are 3.15 Å. Both Mg(3)-Mg(6) bond lengths are 3.13 Å. Both Mg(3)-Mg(7) bond lengths are 3.18 Å. There is one shorter (3.18 Å) and one longer (3.21 Å) Mg(3)-V(1) bond length. In the twelfth 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 V(1) atoms to form distorted MgNa2Mg8V2 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 Mg(3,3)Na2Mg8V2 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(5,5)NaMg10V cuboctahedra; edges with four equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Mg(3)Na2Mg8V2 cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with two equivalent V(1)Na2Mg10 cuboctahedra; and faces with eight Mg(5,5,5)NaMg10V cuboctahedra. Both Mg(3)-Mg(5) bond lengths are 3.15 Å. There is one shorter (3.18 Å) and one longer (3.21 Å) Mg(3)-V(1) bond length. In the thirteenth 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 V(1) atom to form distorted MgNaMg10V cuboctahedra that share corners with four equivalent Mg(6)Mg11V cuboctahedra; corners with four equivalent Mg(7)NaMg11 cuboctahedra; corners with ten Mg(5,5,5)NaMg10V cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with two equivalent Mg(6)Mg11V 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)Na2Mg8V2 cuboctahedra; edges with two equivalent Mg(5)NaMg10V cuboctahedra; edges with two equivalent Mg(7)NaMg11 cuboctahedra; edges with two equivalent V(1)Na2Mg10 cuboctahedra;  a faceface with one Na(1)Mg10V2 cuboctahedra;  a faceface with one Mg(1)Mg12 cuboctahedra;  a faceface with one Mg(2)Mg12 cuboctahedra;  a faceface with one V(1)Na2Mg10 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(7)NaMg11 cuboctahedra; faces with four Mg(4,4)Mg12 cuboctahedra; faces with four Mg(3,3,3)Na2Mg8V2 cuboctahedra; and faces with four Mg(5,5)NaMg10V cuboctahedra. The Mg(5)-Na(1) bond length is 3.17 Å. The Mg(5)-Mg(1) bond length is 3.14 Å. The Mg(5)-Mg(2) bond length is 3.19 Å. The Mg(5)-Mg(4) bond length is 3.17 Å. The Mg(5)-V(1) bond length is 3.12 Å. V(1) is bonded to two equivalent Na(1); two equivalent Mg(6); four Mg(3,3,3,3); and four Mg(5,5) atoms to form VNa2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra; corners with six equivalent V(1)Na2Mg10 cuboctahedra; corners with eight Mg(4,4)Mg12 cuboctahedra; edges with two equivalent Na(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(6)Mg11V cuboctahedra; edges with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; edges with eight Mg(5,5,5)NaMg10V cuboctahedra; faces with two equivalent Na(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(6)Mg11V cuboctahedra; faces with two equivalent Mg(1)Mg12 cuboctahedra; faces with four Mg(3,3,3,3)Na2Mg8V2 cuboctahedra; faces with four Mg(5,5)NaMg10V cuboctahedra; and faces with six equivalent Mg(7)NaMg11 cuboctahedra.