The compound described by 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. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuCo3P2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.646
_cell_length_b   10.455
_cell_length_c   12.042
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   459.040
_cell_formula_units_Z   6
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Lu  Lu0  1  0.000  0.500  0.523  1.0
  Lu  Lu1  1  0.500  0.000  0.477  1.0
  Lu  Lu2  1  0.500  0.819  0.206  1.0
  Lu  Lu3  1  0.500  0.181  0.206  1.0
  Lu  Lu4  1  0.000  0.681  0.794  1.0
  Lu  Lu5  1  0.000  0.319  0.794  1.0
  Co  Co6  1  0.500  0.500  0.160  1.0
  Co  Co7  1  0.000  0.000  0.840  1.0
  Co  Co8  1  0.500  0.500  0.704  1.0
  Co  Co9  1  0.000  0.000  0.296  1.0
  Co  Co10  1  0.000  0.500  0.987  1.0
  Co  Co11  1  0.500  0.000  0.013  1.0
  Co  Co12  1  0.500  0.333  0.995  1.0
  Co  Co13  1  0.500  0.667  0.995  1.0
  Co  Co14  1  0.000  0.167  0.005  1.0
  Co  Co15  1  0.000  0.833  0.005  1.0
  Co  Co16  1  0.500  0.297  0.431  1.0
  Co  Co17  1  0.500  0.703  0.431  1.0
  Co  Co18  1  0.000  0.203  0.569  1.0
  Co  Co19  1  0.000  0.797  0.569  1.0
  Co  Co20  1  0.500  0.878  0.709  1.0
  Co  Co21  1  0.500  0.122  0.709  1.0
  Co  Co22  1  0.000  0.622  0.291  1.0
  Co  Co23  1  0.000  0.378  0.291  1.0
  P  P24  1  0.500  0.500  0.883  1.0
  P  P25  1  0.000  0.000  0.117  1.0
  P  P26  1  0.500  0.500  0.346  1.0
  P  P27  1  0.000  0.000  0.654  1.0
  P  P28  1  0.500  0.313  0.617  1.0
  P  P29  1  0.500  0.687  0.617  1.0
  P  P30  1  0.000  0.187  0.383  1.0
  P  P31  1  0.000  0.813  0.383  1.0
  P  P32  1  0.500  0.846  0.891  1.0
  P  P33  1  0.500  0.154  0.891  1.0
  P  P34  1  0.000  0.654  0.109  1.0
  P  P35  1  0.000  0.346  0.109  1.0
[/CIF]
.
The compound described by 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. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuCo3P2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.646
_cell_length_b   10.455
_cell_length_c   12.042
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   459.040
_cell_formula_units_Z   6
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Lu  Lu0  1  0.000  0.500  0.523  1.0
  Lu  Lu1  1  0.500  0.000  0.477  1.0
  Lu  Lu2  1  0.500  0.819  0.206  1.0
  Lu  Lu3  1  0.500  0.181  0.206  1.0
  Lu  Lu4  1  0.000  0.681  0.794  1.0
  Lu  Lu5  1  0.000  0.319  0.794  1.0
  Co  Co6  1  0.500  0.500  0.160  1.0
  Co  Co7  1  0.000  0.000  0.840  1.0
  Co  Co8  1  0.500  0.500  0.704  1.0
  Co  Co9  1  0.000  0.000  0.296  1.0
  Co  Co10  1  0.000  0.500  0.987  1.0
  Co  Co11  1  0.500  0.000  0.013  1.0
  Co  Co12  1  0.500  0.333  0.995  1.0
  Co  Co13  1  0.500  0.667  0.995  1.0
  Co  Co14  1  0.000  0.167  0.005  1.0
  Co  Co15  1  0.000  0.833  0.005  1.0
  Co  Co16  1  0.500  0.297  0.431  1.0
  Co  Co17  1  0.500  0.703  0.431  1.0
  Co  Co18  1  0.000  0.203  0.569  1.0
  Co  Co19  1  0.000  0.797  0.569  1.0
  Co  Co20  1  0.500  0.878  0.709  1.0
  Co  Co21  1  0.500  0.122  0.709  1.0
  Co  Co22  1  0.000  0.622  0.291  1.0
  Co  Co23  1  0.000  0.378  0.291  1.0
  P  P24  1  0.500  0.500  0.883  1.0
  P  P25  1  0.000  0.000  0.117  1.0
  P  P26  1  0.500  0.500  0.346  1.0
  P  P27  1  0.000  0.000  0.654  1.0
  P  P28  1  0.500  0.313  0.617  1.0
  P  P29  1  0.500  0.687  0.617  1.0
  P  P30  1  0.000  0.187  0.383  1.0
  P  P31  1  0.000  0.813  0.383  1.0
  P  P32  1  0.500  0.846  0.891  1.0
  P  P33  1  0.500  0.154  0.891  1.0
  P  P34  1  0.000  0.654  0.109  1.0
  P  P35  1  0.000  0.346  0.109  1.0
[/CIF]
.