The structure described by Lu5Co19P12 crystallizes in the hexagonal P-62m space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 15-coordinate geometry to three equivalent Co(1), six equivalent Co(3), and six equivalent P(2) atoms. In the second Lu site, Lu(2) is bonded in a 16-coordinate geometry to two equivalent Co(3), two equivalent Co(4), two equivalent Co(5), four equivalent Co(1), two equivalent P(1), and four equivalent P(3) atoms. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one Lu(1), two equivalent Lu(2), one P(1), one P(3), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share corners with two equivalent Co(4)Lu2P4 tetrahedra, corners with two equivalent Co(3)Lu3P4 tetrahedra, corners with five equivalent Co(1)Lu3P4 tetrahedra, edges with two equivalent Co(1)Lu3P4 tetrahedra, edges with four equivalent Co(3)Lu3P4 tetrahedra,  a faceface with one Co(1)Lu3P4 tetrahedra, faces with two equivalent Co(4)Lu2P4 tetrahedra, and faces with two equivalent Co(3)Lu3P4 tetrahedra. In the second Co site, Co(2) is bonded in a 5-coordinate geometry to one P(1) and four equivalent P(2) atoms. In the third Co site, Co(3) is bonded to one Lu(2), two equivalent Lu(1), two equivalent P(1), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share corners with two equivalent Co(4)Lu2P4 tetrahedra, corners with two equivalent Co(1)Lu3P4 tetrahedra, corners with six equivalent Co(3)Lu3P4 tetrahedra,  an edgeedge with one Co(4)Lu2P4 tetrahedra, edges with two equivalent Co(3)Lu3P4 tetrahedra, edges with four equivalent Co(1)Lu3P4 tetrahedra, faces with two equivalent Co(1)Lu3P4 tetrahedra, and faces with three equivalent Co(3)Lu3P4 tetrahedra. In the fourth Co site, Co(4) is bonded to two equivalent Lu(2), two equivalent P(2), and two equivalent P(3) atoms to form distorted CoLu2P4 tetrahedra that share corners with four equivalent Co(4)Lu2P4 tetrahedra, corners with four equivalent Co(1)Lu3P4 tetrahedra, corners with four equivalent Co(3)Lu3P4 tetrahedra, edges with two equivalent Co(3)Lu3P4 tetrahedra, and faces with four equivalent Co(1)Lu3P4 tetrahedra. In the fifth Co site, Co(5) is bonded in a distorted trigonal planar geometry to six equivalent Lu(2) and three equivalent P(3) atoms. There are three inequivalent P sites. In the first P site, P(3) is bonded in a 9-coordinate geometry to four equivalent Lu(2), one Co(5), two equivalent Co(1), and two equivalent Co(4) atoms. In the second P site, P(1) is bonded in a 9-coordinate geometry to two equivalent Lu(2), one Co(2), two equivalent Co(1), and four equivalent Co(3) atoms. In the third P site, P(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(4), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu5Co19P12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.801
_cell_length_b   11.801
_cell_length_c   3.628
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.999
_symmetry_Int_Tables_number   1
_cell_volume   437.594
_cell_formula_units_Z   1
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  0.333  0.667  0.500  1.0
  Lu  Lu1  1  0.667  0.333  0.500  1.0
  Lu  Lu2  1  0.187  1.000  1.000  1.0
  Lu  Lu3  1  0.000  0.187  0.000  1.0
  Lu  Lu4  1  0.813  0.813  0.000  1.0
  Co  Co5  1  0.199  0.377  0.500  1.0
  Co  Co6  1  0.623  0.822  0.500  1.0
  Co  Co7  1  0.178  0.801  0.500  1.0
  Co  Co8  1  0.822  0.623  0.500  1.0
  Co  Co9  1  0.801  0.178  0.500  1.0
  Co  Co10  1  0.377  0.199  0.500  1.0
  Co  Co11  1  0.553  1.000  0.500  1.0
  Co  Co12  1  0.000  0.553  0.500  1.0
  Co  Co13  1  0.447  0.447  0.500  1.0
  Co  Co14  1  0.126  0.484  0.000  1.0
  Co  Co15  1  0.516  0.642  1.000  1.0
  Co  Co16  1  0.358  0.874  0.000  1.0
  Co  Co17  1  0.642  0.516  1.000  1.0
  Co  Co18  1  0.874  0.358  0.000  1.0
  Co  Co19  1  0.484  0.126  0.000  1.0
  Co  Co20  1  0.716  0.000  0.000  1.0
  Co  Co21  1  0.000  0.715  0.000  1.0
  Co  Co22  1  0.284  0.284  1.000  1.0
  Co  Co23  1  0.000  1.000  0.500  1.0
  P  P24  1  0.366  1.000  0.500  1.0
  P  P25  1  0.000  0.366  0.500  1.0
  P  P26  1  0.634  0.634  0.500  1.0
  P  P27  1  0.314  0.481  1.000  1.0
  P  P28  1  0.519  0.833  1.000  1.0
  P  P29  1  0.167  0.686  0.000  1.0
  P  P30  1  0.833  0.519  1.000  1.0
  P  P31  1  0.686  0.167  0.000  1.0
  P  P32  1  0.481  0.314  0.000  1.0
  P  P33  1  0.821  0.000  0.500  1.0
  P  P34  1  0.000  0.821  0.500  1.0
  P  P35  1  0.179  0.179  0.500  1.0
[/CIF]
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The structure described by Lu5Co19P12 crystallizes in the hexagonal P-62m space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 15-coordinate geometry to three equivalent Co(1), six equivalent Co(3), and six equivalent P(2) atoms. In the second Lu site, Lu(2) is bonded in a 16-coordinate geometry to two equivalent Co(3), two equivalent Co(4), two equivalent Co(5), four equivalent Co(1), two equivalent P(1), and four equivalent P(3) atoms. There are five inequivalent Co sites. In the first Co site, Co(1) is bonded to one Lu(1), two equivalent Lu(2), one P(1), one P(3), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share corners with two equivalent Co(4)Lu2P4 tetrahedra, corners with two equivalent Co(3)Lu3P4 tetrahedra, corners with five equivalent Co(1)Lu3P4 tetrahedra, edges with two equivalent Co(1)Lu3P4 tetrahedra, edges with four equivalent Co(3)Lu3P4 tetrahedra,  a faceface with one Co(1)Lu3P4 tetrahedra, faces with two equivalent Co(4)Lu2P4 tetrahedra, and faces with two equivalent Co(3)Lu3P4 tetrahedra. In the second Co site, Co(2) is bonded in a 5-coordinate geometry to one P(1) and four equivalent P(2) atoms. In the third Co site, Co(3) is bonded to one Lu(2), two equivalent Lu(1), two equivalent P(1), and two equivalent P(2) atoms to form distorted CoLu3P4 tetrahedra that share corners with two equivalent Co(4)Lu2P4 tetrahedra, corners with two equivalent Co(1)Lu3P4 tetrahedra, corners with six equivalent Co(3)Lu3P4 tetrahedra,  an edgeedge with one Co(4)Lu2P4 tetrahedra, edges with two equivalent Co(3)Lu3P4 tetrahedra, edges with four equivalent Co(1)Lu3P4 tetrahedra, faces with two equivalent Co(1)Lu3P4 tetrahedra, and faces with three equivalent Co(3)Lu3P4 tetrahedra. In the fourth Co site, Co(4) is bonded to two equivalent Lu(2), two equivalent P(2), and two equivalent P(3) atoms to form distorted CoLu2P4 tetrahedra that share corners with four equivalent Co(4)Lu2P4 tetrahedra, corners with four equivalent Co(1)Lu3P4 tetrahedra, corners with four equivalent Co(3)Lu3P4 tetrahedra, edges with two equivalent Co(3)Lu3P4 tetrahedra, and faces with four equivalent Co(1)Lu3P4 tetrahedra. In the fifth Co site, Co(5) is bonded in a distorted trigonal planar geometry to six equivalent Lu(2) and three equivalent P(3) atoms. There are three inequivalent P sites. In the first P site, P(3) is bonded in a 9-coordinate geometry to four equivalent Lu(2), one Co(5), two equivalent Co(1), and two equivalent Co(4) atoms. In the second P site, P(1) is bonded in a 9-coordinate geometry to two equivalent Lu(2), one Co(2), two equivalent Co(1), and four equivalent Co(3) atoms. In the third P site, P(2) is bonded in a 9-coordinate geometry to two equivalent Lu(1), one Co(4), two equivalent Co(1), two equivalent Co(2), and two equivalent Co(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu5Co19P12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   11.801
_cell_length_b   11.801
_cell_length_c   3.628
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.999
_symmetry_Int_Tables_number   1
_cell_volume   437.594
_cell_formula_units_Z   1
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  0.333  0.667  0.500  1.0
  Lu  Lu1  1  0.667  0.333  0.500  1.0
  Lu  Lu2  1  0.187  1.000  1.000  1.0
  Lu  Lu3  1  0.000  0.187  0.000  1.0
  Lu  Lu4  1  0.813  0.813  0.000  1.0
  Co  Co5  1  0.199  0.377  0.500  1.0
  Co  Co6  1  0.623  0.822  0.500  1.0
  Co  Co7  1  0.178  0.801  0.500  1.0
  Co  Co8  1  0.822  0.623  0.500  1.0
  Co  Co9  1  0.801  0.178  0.500  1.0
  Co  Co10  1  0.377  0.199  0.500  1.0
  Co  Co11  1  0.553  1.000  0.500  1.0
  Co  Co12  1  0.000  0.553  0.500  1.0
  Co  Co13  1  0.447  0.447  0.500  1.0
  Co  Co14  1  0.126  0.484  0.000  1.0
  Co  Co15  1  0.516  0.642  1.000  1.0
  Co  Co16  1  0.358  0.874  0.000  1.0
  Co  Co17  1  0.642  0.516  1.000  1.0
  Co  Co18  1  0.874  0.358  0.000  1.0
  Co  Co19  1  0.484  0.126  0.000  1.0
  Co  Co20  1  0.716  0.000  0.000  1.0
  Co  Co21  1  0.000  0.715  0.000  1.0
  Co  Co22  1  0.284  0.284  1.000  1.0
  Co  Co23  1  0.000  1.000  0.500  1.0
  P  P24  1  0.366  1.000  0.500  1.0
  P  P25  1  0.000  0.366  0.500  1.0
  P  P26  1  0.634  0.634  0.500  1.0
  P  P27  1  0.314  0.481  1.000  1.0
  P  P28  1  0.519  0.833  1.000  1.0
  P  P29  1  0.167  0.686  0.000  1.0
  P  P30  1  0.833  0.519  1.000  1.0
  P  P31  1  0.686  0.167  0.000  1.0
  P  P32  1  0.481  0.314  0.000  1.0
  P  P33  1  0.821  0.000  0.500  1.0
  P  P34  1  0.000  0.821  0.500  1.0
  P  P35  1  0.179  0.179  0.500  1.0
[/CIF]
.