Lu(CoGe)6 crystallizes in the hexagonal P6/mmm space group. Lu(1) is bonded to twelve equivalent Co(1), two equivalent Ge(3), and six equivalent Ge(1) atoms to form distorted LuCo12Ge8 hexagonal bipyramids that share faces with twenty-four equivalent Co(1)Lu2Co4Ge6 cuboctahedra and faces with six equivalent Lu(1)Co12Ge8 hexagonal bipyramids. Co(1) is bonded to two equivalent Lu(1), four equivalent Co(1), two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms to form distorted CoLu2Co4Ge6 cuboctahedra that share corners with fourteen equivalent Co(1)Lu2Co4Ge6 cuboctahedra, edges with seven equivalent Co(1)Lu2Co4Ge6 cuboctahedra, faces with nine equivalent Co(1)Lu2Co4Ge6 cuboctahedra, and faces with four equivalent Lu(1)Co12Ge8 hexagonal bipyramids. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to three equivalent Lu(1) and six equivalent Co(1) atoms. In the second Ge site, Ge(2) is bonded in a 6-coordinate geometry to six equivalent Co(1) atoms. In the third Ge site, Ge(3) is bonded in a 8-coordinate geometry to one Lu(1), six equivalent Co(1), and one Ge(3) atom.
Lu(CoGe)6 crystallizes in the hexagonal P6/mmm space group. Lu(1) is bonded to twelve equivalent Co(1), two equivalent Ge(3), and six equivalent Ge(1) atoms to form distorted LuCo12Ge8 hexagonal bipyramids that share faces with twenty-four equivalent Co(1)Lu2Co4Ge6 cuboctahedra and faces with six equivalent Lu(1)Co12Ge8 hexagonal bipyramids. All Lu(1)-Co(1) bond lengths are 3.20 Å. Both Lu(1)-Ge(3) bond lengths are 2.70 Å. All Lu(1)-Ge(1) bond lengths are 2.92 Å. Co(1) is bonded to two equivalent Lu(1), four equivalent Co(1), two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms to form distorted CoLu2Co4Ge6 cuboctahedra that share corners with fourteen equivalent Co(1)Lu2Co4Ge6 cuboctahedra, edges with seven equivalent Co(1)Lu2Co4Ge6 cuboctahedra, faces with nine equivalent Co(1)Lu2Co4Ge6 cuboctahedra, and faces with four equivalent Lu(1)Co12Ge8 hexagonal bipyramids. All Co(1)-Co(1) bond lengths are 2.53 Å. Both Co(1)-Ge(1) bond lengths are 2.44 Å. Both Co(1)-Ge(2) bond lengths are 2.45 Å. Both Co(1)-Ge(3) bond lengths are 2.63 Å. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to three equivalent Lu(1) and six equivalent Co(1) atoms. In the second Ge site, Ge(2) is bonded in a 6-coordinate geometry to six equivalent Co(1) atoms. In the third Ge site, Ge(3) is bonded in a 8-coordinate geometry to one Lu(1), six equivalent Co(1), and one Ge(3) atom. The Ge(3)-Ge(3) bond length is 2.45 Å.