LuCo5P3 crystallizes in the orthorhombic Pnma space group. Lu(1) is bonded in a 17-coordinate geometry to one Co(1), one Co(5), three equivalent Co(2), three equivalent Co(3), three equivalent Co(4), two equivalent P(1), two equivalent P(2), and two equivalent P(3) atoms. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded in a 5-coordinate geometry to one Lu(1), one P(3), two equivalent P(1), and two equivalent P(2) atoms. In the second Co site, Co(2) is bonded in a 4-coordinate geometry to three equivalent Lu(1), one P(2), and three equivalent P(3) atoms. In the third Co site, Co(3) is bonded to three equivalent Lu(1), one P(1), one P(2), and two equivalent P(3) atoms to form distorted CoLu3P4 tetrahedra that share  a cornercorner with one Co(5)LuP4 tetrahedra, corners with three equivalent Co(4)Lu3P4 tetrahedra, corners with four equivalent Co(3)Lu3P4 tetrahedra, edges with two equivalent Co(3)Lu3P4 tetrahedra, edges with three equivalent Co(5)LuP4 tetrahedra, and faces with three equivalent Co(4)Lu3P4 tetrahedra. In the fourth Co site, Co(4) is bonded to three equivalent Lu(1), one P(1), one P(3), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share corners with two equivalent Co(5)LuP4 tetrahedra, corners with three equivalent Co(3)Lu3P4 tetrahedra, corners with four equivalent Co(4)Lu3P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, faces with two equivalent Co(5)LuP4 tetrahedra, and faces with three equivalent Co(3)Lu3P4 tetrahedra. In the fifth Co site, Co(5) is bonded to one Lu(1), one P(2), and three equivalent P(1) atoms to form distorted CoLuP4 tetrahedra that share  a cornercorner with one Co(3)Lu3P4 tetrahedra, corners with two equivalent Co(4)Lu3P4 tetrahedra, corners with two equivalent Co(5)LuP4 tetrahedra, edges with two equivalent Co(5)LuP4 tetrahedra, edges with three equivalent Co(3)Lu3P4 tetrahedra, and faces with two equivalent Co(4)Lu3P4 tetrahedra. There are three inequivalent P sites. In the first P site, P(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(1), one Co(4), two equivalent Co(3), and three equivalent Co(2) atoms. In the second P site, P(1) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(3), one Co(4), two equivalent Co(1), and three equivalent Co(5) atoms. In the third P site, P(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(2), one Co(3), one Co(5), two equivalent Co(1), and two equivalent Co(4) atoms.
LuCo5P3 crystallizes in the orthorhombic Pnma space group. Lu(1) is bonded in a 17-coordinate geometry to one Co(1), one Co(5), three equivalent Co(2), three equivalent Co(3), three equivalent Co(4), two equivalent P(1), two equivalent P(2), and two equivalent P(3) atoms. The Lu(1)-Co(1) bond length is 3.23 Å. The Lu(1)-Co(5) bond length is 2.91 Å. There are two shorter (2.86 Å) and one longer (3.10 Å) Lu(1)-Co(2) bond length. There are two shorter (3.04 Å) and one longer (3.12 Å) Lu(1)-Co(3) bond length. There are two shorter (2.96 Å) and one longer (3.07 Å) Lu(1)-Co(4) bond length. Both Lu(1)-P(1) bond lengths are 2.80 Å. Both Lu(1)-P(2) bond lengths are 2.76 Å. Both Lu(1)-P(3) bond lengths are 2.82 Å. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded in a 5-coordinate geometry to one Lu(1), one P(3), two equivalent P(1), and two equivalent P(2) atoms. The Co(1)-P(3) bond length is 2.21 Å. Both Co(1)-P(1) bond lengths are 2.57 Å. Both Co(1)-P(2) bond lengths are 2.44 Å. In the second Co site, Co(2) is bonded in a 4-coordinate geometry to three equivalent Lu(1), one P(2), and three equivalent P(3) atoms. The Co(2)-P(2) bond length is 2.26 Å. There is one shorter (2.27 Å) and two longer (2.31 Å) Co(2)-P(3) bond lengths. In the third Co site, Co(3) is bonded to three equivalent Lu(1), one P(1), one P(2), and two equivalent P(3) atoms to form distorted CoLu3P4 tetrahedra that share  a cornercorner with one Co(5)LuP4 tetrahedra, corners with three equivalent Co(4)Lu3P4 tetrahedra, corners with four equivalent Co(3)Lu3P4 tetrahedra, edges with two equivalent Co(3)Lu3P4 tetrahedra, edges with three equivalent Co(5)LuP4 tetrahedra, and faces with three equivalent Co(4)Lu3P4 tetrahedra. The Co(3)-P(1) bond length is 2.15 Å. The Co(3)-P(2) bond length is 2.26 Å. Both Co(3)-P(3) bond lengths are 2.32 Å. In the fourth Co site, Co(4) is bonded to three equivalent Lu(1), one P(1), one P(3), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share corners with two equivalent Co(5)LuP4 tetrahedra, corners with three equivalent Co(3)Lu3P4 tetrahedra, corners with four equivalent Co(4)Lu3P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, faces with two equivalent Co(5)LuP4 tetrahedra, and faces with three equivalent Co(3)Lu3P4 tetrahedra. The Co(4)-P(1) bond length is 2.27 Å. The Co(4)-P(3) bond length is 2.24 Å. Both Co(4)-P(2) bond lengths are 2.29 Å. In the fifth Co site, Co(5) is bonded to one Lu(1), one P(2), and three equivalent P(1) atoms to form distorted CoLuP4 tetrahedra that share  a cornercorner with one Co(3)Lu3P4 tetrahedra, corners with two equivalent Co(4)Lu3P4 tetrahedra, corners with two equivalent Co(5)LuP4 tetrahedra, edges with two equivalent Co(5)LuP4 tetrahedra, edges with three equivalent Co(3)Lu3P4 tetrahedra, and faces with two equivalent Co(4)Lu3P4 tetrahedra. The Co(5)-P(2) bond length is 2.15 Å. There is one shorter (2.18 Å) and two longer (2.21 Å) Co(5)-P(1) bond lengths. There are three inequivalent P sites. In the first P site, P(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(1), one Co(4), two equivalent Co(3), and three equivalent Co(2) atoms. In the second P site, P(1) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(3), one Co(4), two equivalent Co(1), and three equivalent Co(5) atoms. In the third P site, P(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(2), one Co(3), one Co(5), two equivalent Co(1), and two equivalent Co(4) atoms.