Lu2Co2O7 crystallizes in the triclinic P-1 space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to two equivalent O(2), two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, edges with two equivalent Lu(4)O8 hexagonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. In the second Lu site, Lu(2) is bonded to two equivalent O(1), two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, edges with two equivalent Lu(4)O8 hexagonal bipyramids, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. In the third Lu site, Lu(3) is bonded to two equivalent O(3), two equivalent O(4), two equivalent O(5), and two equivalent O(7) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(4)O8 hexagonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. In the fourth Lu site, Lu(4) is bonded to two equivalent O(1), two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(3), two equivalent O(6), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, and edges with two equivalent Lu(4)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. In the second Co site, Co(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, and edges with two equivalent Lu(3)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles range from 48-49°. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, and edges with two equivalent Lu(4)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, and edges with two equivalent Lu(4)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles range from 48-49°. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Lu(2), one Lu(4), one Co(3), and one Co(4) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the second O site, O(2) is bonded to one Lu(1), one Lu(2), one Co(2), and one Co(4) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the third O site, O(3) is bonded to one Lu(1), one Lu(3), one Co(1), and one Co(2) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the fourth O site, O(4) is bonded to one Lu(2), one Lu(3), one Co(2), and one Co(3) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the fifth O site, O(5) is bonded to one Lu(1), one Lu(2), one Lu(3), and one Lu(4) atom to form OLu4 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with four equivalent O(5)Lu4 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra, and  an edgeedge with one O(7)Lu2Co2 tetrahedra. In the sixth O site, O(6) is bonded to one Lu(1), one Lu(4), one Co(1), and one Co(4) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(6)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the seventh O site, O(7) is bonded to one Lu(3), one Lu(4), one Co(1), and one Co(3) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(7)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra.
Lu2Co2O7 crystallizes in the triclinic P-1 space group. There are four inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to two equivalent O(2), two equivalent O(3), two equivalent O(5), and two equivalent O(6) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, edges with two equivalent Lu(4)O8 hexagonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. Both Lu(1)-O(2) bond lengths are 2.36 Å. Both Lu(1)-O(3) bond lengths are 2.38 Å. Both Lu(1)-O(5) bond lengths are 2.09 Å. Both Lu(1)-O(6) bond lengths are 2.36 Å. In the second Lu site, Lu(2) is bonded to two equivalent O(1), two equivalent O(2), two equivalent O(4), and two equivalent O(5) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, edges with two equivalent Lu(4)O8 hexagonal bipyramids, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. Both Lu(2)-O(1) bond lengths are 2.35 Å. Both Lu(2)-O(2) bond lengths are 2.39 Å. Both Lu(2)-O(4) bond lengths are 2.36 Å. Both Lu(2)-O(5) bond lengths are 2.09 Å. In the third Lu site, Lu(3) is bonded to two equivalent O(3), two equivalent O(4), two equivalent O(5), and two equivalent O(7) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(4)O8 hexagonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and edges with two equivalent Co(3)O6 octahedra. Both Lu(3)-O(3) bond lengths are 2.36 Å. Both Lu(3)-O(4) bond lengths are 2.36 Å. Both Lu(3)-O(5) bond lengths are 2.09 Å. Both Lu(3)-O(7) bond lengths are 2.38 Å. In the fourth Lu site, Lu(4) is bonded to two equivalent O(1), two equivalent O(5), two equivalent O(6), and two equivalent O(7) atoms to form distorted LuO8 hexagonal bipyramids that share edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and edges with two equivalent Co(4)O6 octahedra. Both Lu(4)-O(1) bond lengths are 2.38 Å. Both Lu(4)-O(5) bond lengths are 2.09 Å. Both Lu(4)-O(6) bond lengths are 2.37 Å. Both Lu(4)-O(7) bond lengths are 2.35 Å. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent O(3), two equivalent O(6), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, and edges with two equivalent Lu(4)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. Both Co(1)-O(3) bond lengths are 1.85 Å. Both Co(1)-O(6) bond lengths are 1.88 Å. Both Co(1)-O(7) bond lengths are 1.90 Å. In the second Co site, Co(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, and edges with two equivalent Lu(3)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles range from 48-49°. Both Co(2)-O(2) bond lengths are 1.85 Å. Both Co(2)-O(3) bond lengths are 1.89 Å. Both Co(2)-O(4) bond lengths are 1.88 Å. In the third Co site, Co(3) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(7) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(4)O6 octahedra, edges with two equivalent Lu(2)O8 hexagonal bipyramids, edges with two equivalent Lu(3)O8 hexagonal bipyramids, and edges with two equivalent Lu(4)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles are 49°. Both Co(3)-O(1) bond lengths are 1.90 Å. Both Co(3)-O(4) bond lengths are 1.88 Å. Both Co(3)-O(7) bond lengths are 1.86 Å. In the fourth Co site, Co(4) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, edges with two equivalent Lu(1)O8 hexagonal bipyramids, edges with two equivalent Lu(2)O8 hexagonal bipyramids, and edges with two equivalent Lu(4)O8 hexagonal bipyramids. The corner-sharing octahedral tilt angles range from 48-49°. Both Co(4)-O(1) bond lengths are 1.85 Å. Both Co(4)-O(2) bond lengths are 1.89 Å. Both Co(4)-O(6) bond lengths are 1.87 Å. There are seven inequivalent O sites. In the first O site, O(1) is bonded to one Lu(2), one Lu(4), one Co(3), and one Co(4) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the second O site, O(2) is bonded to one Lu(1), one Lu(2), one Co(2), and one Co(4) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the third O site, O(3) is bonded to one Lu(1), one Lu(3), one Co(1), and one Co(2) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the fourth O site, O(4) is bonded to one Lu(2), one Lu(3), one Co(2), and one Co(3) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the fifth O site, O(5) is bonded to one Lu(1), one Lu(2), one Lu(3), and one Lu(4) atom to form OLu4 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with four equivalent O(5)Lu4 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra, and  an edgeedge with one O(7)Lu2Co2 tetrahedra. In the sixth O site, O(6) is bonded to one Lu(1), one Lu(4), one Co(1), and one Co(4) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(2)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(7)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(6)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(2)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(7)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra. In the seventh O site, O(7) is bonded to one Lu(3), one Lu(4), one Co(1), and one Co(3) atom to form distorted OLu2Co2 tetrahedra that share corners with two equivalent O(1)Lu2Co2 tetrahedra, corners with two equivalent O(3)Lu2Co2 tetrahedra, corners with two equivalent O(4)Lu2Co2 tetrahedra, corners with two equivalent O(6)Lu2Co2 tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(7)Lu2Co2 tetrahedra,  an edgeedge with one O(1)Lu2Co2 tetrahedra,  an edgeedge with one O(3)Lu2Co2 tetrahedra,  an edgeedge with one O(4)Lu2Co2 tetrahedra,  an edgeedge with one O(6)Lu2Co2 tetrahedra, and  an edgeedge with one O(5)Lu4 tetrahedra.