LuCo3P2 crystallizes in the orthorhombic Pmmn space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 16-coordinate geometry to two equivalent Co(2), two equivalent Co(6), six equivalent Co(5), two equivalent P(2), and four equivalent P(3) atoms. In the second Lu site, Lu(2) is bonded in a 15-coordinate geometry to one Co(3), one Co(5), two equivalent Co(2), two equivalent Co(6), three equivalent Co(4), two equivalent P(1), two equivalent P(3), and two equivalent P(4) atoms. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded in a 5-coordinate geometry to one P(2) and four equivalent P(4) atoms. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), four equivalent Lu(2), one P(1), and two equivalent P(3) atoms. In the third Co site, Co(3) is bonded to two equivalent Lu(2), two equivalent P(1), and two equivalent P(4) atoms to form distorted CoLu2P4 tetrahedra that share corners with two equivalent Co(3)Lu2P4 tetrahedra, corners with two equivalent Co(5)Lu4P4 tetrahedra, corners with six equivalent Co(6)Lu3P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, and faces with four equivalent Co(4)Lu3P4 tetrahedra. In the fourth Co site, Co(4) is bonded to three equivalent Lu(2), one P(1), and three equivalent P(4) atoms to form distorted CoLu3P4 tetrahedra that share  a cornercorner with one Co(4)Lu3P4 tetrahedra, corners with two equivalent Co(6)Lu3P4 tetrahedra, corners with three equivalent Co(5)Lu4P4 tetrahedra,  an edgeedge with one Co(3)Lu2P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, edges with two equivalent Co(6)Lu3P4 tetrahedra,  a faceface with one Co(6)Lu3P4 tetrahedra, faces with two equivalent Co(3)Lu2P4 tetrahedra, and faces with two equivalent Co(4)Lu3P4 tetrahedra. In the fifth Co site, Co(5) is bonded to one Lu(2), three equivalent Lu(1), one P(2), and three equivalent P(3) atoms to form distorted CoLu4P4 tetrahedra that share  a cornercorner with one Co(3)Lu2P4 tetrahedra,  a cornercorner with one Co(6)Lu3P4 tetrahedra, corners with three equivalent Co(4)Lu3P4 tetrahedra, corners with seven equivalent Co(5)Lu4P4 tetrahedra, edges with two equivalent Co(5)Lu4P4 tetrahedra, edges with three equivalent Co(6)Lu3P4 tetrahedra, faces with two equivalent Co(6)Lu3P4 tetrahedra, and faces with three equivalent Co(5)Lu4P4 tetrahedra. In the sixth Co site, Co(6) is bonded to one Lu(1), two equivalent Lu(2), one P(3), one P(4), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share  a cornercorner with one Co(5)Lu4P4 tetrahedra, corners with two equivalent Co(4)Lu3P4 tetrahedra, corners with two equivalent Co(6)Lu3P4 tetrahedra, corners with three equivalent Co(3)Lu2P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, edges with two equivalent Co(6)Lu3P4 tetrahedra, edges with three equivalent Co(5)Lu4P4 tetrahedra,  a faceface with one Co(4)Lu3P4 tetrahedra,  a faceface with one Co(6)Lu3P4 tetrahedra, and faces with two equivalent Co(5)Lu4P4 tetrahedra. There are four inequivalent P sites. In the first P site, P(4) is bonded in a 9-coordinate geometry to two equivalent Lu(2), one Co(3), one Co(6), two equivalent Co(1), and three equivalent Co(4) atoms. In the second P site, P(1) is bonded in a 9-coordinate geometry to four equivalent Lu(2), one Co(2), two equivalent Co(3), and two equivalent Co(4) atoms. In the third P site, P(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(1), two equivalent Co(5), and four equivalent Co(6) atoms. In the fourth P site, P(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), one Co(2), one Co(6), and three equivalent Co(5) atoms.
LuCo3P2 crystallizes in the orthorhombic Pmmn space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 16-coordinate geometry to two equivalent Co(2), two equivalent Co(6), six equivalent Co(5), two equivalent P(2), and four equivalent P(3) atoms. Both Lu(1)-Co(2) bond lengths are 2.84 Å. Both Lu(1)-Co(6) bond lengths are 3.07 Å. There are four shorter (3.00 Å) and two longer (3.16 Å) Lu(1)-Co(5) bond lengths. Both Lu(1)-P(2) bond lengths are 2.80 Å. All Lu(1)-P(3) bond lengths are 2.91 Å. In the second Lu site, Lu(2) is bonded in a 15-coordinate geometry to one Co(3), one Co(5), two equivalent Co(2), two equivalent Co(6), three equivalent Co(4), two equivalent P(1), two equivalent P(3), and two equivalent P(4) atoms. The Lu(2)-Co(3) bond length is 3.00 Å. The Lu(2)-Co(5) bond length is 2.97 Å. Both Lu(2)-Co(2) bond lengths are 2.84 Å. Both Lu(2)-Co(6) bond lengths are 2.93 Å. There is one shorter (3.00 Å) and two longer (3.03 Å) Lu(2)-Co(4) bond lengths. Both Lu(2)-P(1) bond lengths are 2.84 Å. Both Lu(2)-P(3) bond lengths are 2.80 Å. Both Lu(2)-P(4) bond lengths are 2.77 Å. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded in a 5-coordinate geometry to one P(2) and four equivalent P(4) atoms. The Co(1)-P(2) bond length is 2.24 Å. All Co(1)-P(4) bond lengths are 2.51 Å. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), four equivalent Lu(2), one P(1), and two equivalent P(3) atoms. The Co(2)-P(1) bond length is 2.16 Å. Both Co(2)-P(3) bond lengths are 2.22 Å. In the third Co site, Co(3) is bonded to two equivalent Lu(2), two equivalent P(1), and two equivalent P(4) atoms to form distorted CoLu2P4 tetrahedra that share corners with two equivalent Co(3)Lu2P4 tetrahedra, corners with two equivalent Co(5)Lu4P4 tetrahedra, corners with six equivalent Co(6)Lu3P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, and faces with four equivalent Co(4)Lu3P4 tetrahedra. Both Co(3)-P(1) bond lengths are 2.22 Å. Both Co(3)-P(4) bond lengths are 2.17 Å. In the fourth Co site, Co(4) is bonded to three equivalent Lu(2), one P(1), and three equivalent P(4) atoms to form distorted CoLu3P4 tetrahedra that share  a cornercorner with one Co(4)Lu3P4 tetrahedra, corners with two equivalent Co(6)Lu3P4 tetrahedra, corners with three equivalent Co(5)Lu4P4 tetrahedra,  an edgeedge with one Co(3)Lu2P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, edges with two equivalent Co(6)Lu3P4 tetrahedra,  a faceface with one Co(6)Lu3P4 tetrahedra, faces with two equivalent Co(3)Lu2P4 tetrahedra, and faces with two equivalent Co(4)Lu3P4 tetrahedra. The Co(4)-P(1) bond length is 2.21 Å. There is one shorter (2.25 Å) and two longer (2.29 Å) Co(4)-P(4) bond lengths. In the fifth Co site, Co(5) is bonded to one Lu(2), three equivalent Lu(1), one P(2), and three equivalent P(3) atoms to form distorted CoLu4P4 tetrahedra that share  a cornercorner with one Co(3)Lu2P4 tetrahedra,  a cornercorner with one Co(6)Lu3P4 tetrahedra, corners with three equivalent Co(4)Lu3P4 tetrahedra, corners with seven equivalent Co(5)Lu4P4 tetrahedra, edges with two equivalent Co(5)Lu4P4 tetrahedra, edges with three equivalent Co(6)Lu3P4 tetrahedra, faces with two equivalent Co(6)Lu3P4 tetrahedra, and faces with three equivalent Co(5)Lu4P4 tetrahedra. The Co(5)-P(2) bond length is 2.35 Å. There are two shorter (2.23 Å) and one longer (2.24 Å) Co(5)-P(3) bond length. In the sixth Co site, Co(6) is bonded to one Lu(1), two equivalent Lu(2), one P(3), one P(4), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share  a cornercorner with one Co(5)Lu4P4 tetrahedra, corners with two equivalent Co(4)Lu3P4 tetrahedra, corners with two equivalent Co(6)Lu3P4 tetrahedra, corners with three equivalent Co(3)Lu2P4 tetrahedra, edges with two equivalent Co(4)Lu3P4 tetrahedra, edges with two equivalent Co(6)Lu3P4 tetrahedra, edges with three equivalent Co(5)Lu4P4 tetrahedra,  a faceface with one Co(4)Lu3P4 tetrahedra,  a faceface with one Co(6)Lu3P4 tetrahedra, and faces with two equivalent Co(5)Lu4P4 tetrahedra. The Co(6)-P(3) bond length is 2.28 Å. The Co(6)-P(4) bond length is 2.22 Å. Both Co(6)-P(2) bond lengths are 2.32 Å. There are four inequivalent P sites. In the first P site, P(4) is bonded in a 9-coordinate geometry to two equivalent Lu(2), one Co(3), one Co(6), two equivalent Co(1), and three equivalent Co(4) atoms. In the second P site, P(1) is bonded in a 9-coordinate geometry to four equivalent Lu(2), one Co(2), two equivalent Co(3), and two equivalent Co(4) atoms. In the third P site, P(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(1), two equivalent Co(5), and four equivalent Co(6) atoms. In the fourth P site, P(3) is bonded in a 9-coordinate geometry to two equivalent Lu(1), two equivalent Lu(2), one Co(2), one Co(6), and three equivalent Co(5) atoms.