BaMg14V crystallizes in the hexagonal P-6m2 space group. Ba(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form BaMg12 cuboctahedra that share corners with six equivalent Ba(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)BaMg10V cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(3,3)BaMg10V cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form distorted MgMg10V2 cuboctahedra that share corners with four equivalent Ba(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)BaMg10V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)BaMg10V cuboctahedra. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms. In the third Mg site, Mg(3) is bonded to one Ba(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one V(1) atom to form distorted MgBaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)BaMg10V cuboctahedra; edges with two equivalent Ba(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(3,3)BaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one Ba(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)BaMg10V cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one V(1) atom to form distorted MgBaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)BaMg10V cuboctahedra; edges with two equivalent Ba(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(3)BaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one Ba(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)BaMg10V cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(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)BaMg10V cuboctahedra; edges with six Mg(3,3)BaMg10V cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ba(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10V2 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; and faces with six Mg(3,3)BaMg10V cuboctahedra. V(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)BaMg10V cuboctahedra; faces with two equivalent Ba(1)Mg12 cuboctahedra; faces with six Mg(3,3)BaMg10V cuboctahedra; faces with six equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra.
BaMg14V crystallizes in the hexagonal P-6m2 space group. Ba(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form BaMg12 cuboctahedra that share corners with six equivalent Ba(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)BaMg10V cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with six Mg(3,3)BaMg10V cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. All Ba(1)-Mg(2) bond lengths are 3.30 Å. All Ba(1)-Mg(3,3) bond lengths are 3.41 Å. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(4), four equivalent Mg(1), four equivalent Mg(3), and two equivalent V(1) atoms to form distorted MgMg10V2 cuboctahedra that share corners with four equivalent Ba(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)BaMg10V cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent V(1)Mg12 cuboctahedra; faces with four equivalent Mg(1)Mg10V2 cuboctahedra; and faces with ten Mg(3,3)BaMg10V cuboctahedra. Both Mg(1)-Mg(4) bond lengths are 3.27 Å. There are two shorter (3.26 Å) and two longer (3.34 Å) Mg(1)-Mg(1) bond lengths. All Mg(1)-Mg(3) bond lengths are 3.06 Å. Both Mg(1)-V(1) bond lengths are 3.30 Å. In the second Mg site, Mg(2) is bonded in a 12-coordinate geometry to two equivalent Ba(1), two equivalent Mg(4), four equivalent Mg(2), and four equivalent Mg(3) atoms. Both Mg(2)-Mg(4) bond lengths are 3.21 Å. There are two shorter (3.16 Å) and two longer (3.44 Å) Mg(2)-Mg(2) bond lengths. All Mg(2)-Mg(3) bond lengths are 3.36 Å. In the third Mg site, Mg(3) is bonded to one Ba(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one V(1) atom to form distorted MgBaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)BaMg10V cuboctahedra; edges with two equivalent Ba(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four Mg(3,3)BaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one Ba(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)BaMg10V cuboctahedra. Both Mg(3)-Mg(4) bond lengths are 3.31 Å. There are two shorter (3.24 Å) and two longer (3.36 Å) Mg(3)-Mg(3,3) bond lengths. The Mg(3)-V(1) bond length is 3.08 Å. In the fourth Mg site, Mg(3) is bonded to one Ba(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one V(1) atom to form distorted MgBaMg10V cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)BaMg10V cuboctahedra; edges with two equivalent Ba(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent V(1)Mg12 cuboctahedra; edges with four equivalent Mg(3)BaMg10V cuboctahedra; edges with four equivalent Mg(1)Mg10V2 cuboctahedra;  a faceface with one Ba(1)Mg12 cuboctahedra;  a faceface with one V(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six Mg(3,3)BaMg10V cuboctahedra. Both Mg(3)-Mg(1) bond lengths are 3.06 Å. Both Mg(3)-Mg(2) bond lengths are 3.36 Å. Both Mg(3)-Mg(4) bond lengths are 3.31 Å. The Mg(3)-V(1) bond length is 3.08 Å. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(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)BaMg10V cuboctahedra; edges with six Mg(3,3)BaMg10V cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent Ba(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)Mg10V2 cuboctahedra; faces with three equivalent V(1)Mg12 cuboctahedra; and faces with six Mg(3,3)BaMg10V cuboctahedra. V(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form VMg12 cuboctahedra that share corners with six equivalent V(1)Mg12 cuboctahedra; edges with six equivalent Mg(1)Mg10V2 cuboctahedra; edges with twelve Mg(3,3)BaMg10V cuboctahedra; faces with two equivalent Ba(1)Mg12 cuboctahedra; faces with six Mg(3,3)BaMg10V cuboctahedra; faces with six equivalent Mg(1)Mg10V2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra.