The compound described by Pr5Co19 crystallizes in the trigonal R-3m space group. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 18-coordinate geometry to six equivalent Co(3) and twelve equivalent Co(6) atoms. In the second Pr site, Pr(2) is bonded in a 18-coordinate geometry to three equivalent Co(2), three equivalent Co(4), six equivalent Co(5), and six equivalent Co(6) atoms. In the third Pr site, Pr(3) is bonded in a 12-coordinate geometry to three equivalent Co(1) and nine equivalent Co(5) atoms. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to six equivalent Pr(3) and six equivalent Co(5) atoms to form CoPr6Co6 cuboctahedra that share corners with twelve equivalent Co(5)Pr5Co7 cuboctahedra, edges with six equivalent Co(1)Pr6Co6 cuboctahedra, and faces with eighteen equivalent Co(5)Pr5Co7 cuboctahedra. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Co(5), and three equivalent Co(6) atoms. In the third Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Pr(1) and six equivalent Co(6) atoms. In the fourth Co site, Co(4) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Co(5), and three equivalent Co(6) atoms. In the fifth Co site, Co(5) is bonded to two equivalent Pr(2), three equivalent Pr(3), one Co(1), one Co(2), one Co(4), and four equivalent Co(5) atoms to form distorted CoPr5Co7 cuboctahedra that share corners with two equivalent Co(1)Pr6Co6 cuboctahedra, corners with six equivalent Co(6)Pr4Co8 cuboctahedra, corners with nine equivalent Co(5)Pr5Co7 cuboctahedra, edges with four equivalent Co(6)Pr4Co8 cuboctahedra, edges with four equivalent Co(5)Pr5Co7 cuboctahedra,  a faceface with one Co(6)Pr4Co8 cuboctahedra, faces with three equivalent Co(1)Pr6Co6 cuboctahedra, and faces with ten equivalent Co(5)Pr5Co7 cuboctahedra. In the sixth Co site, Co(6) is bonded to two equivalent Pr(1), two equivalent Pr(2), one Co(2), one Co(4), two equivalent Co(3), and four equivalent Co(6) atoms to form CoPr4Co8 cuboctahedra that share corners with six equivalent Co(5)Pr5Co7 cuboctahedra, corners with ten equivalent Co(6)Pr4Co8 cuboctahedra, edges with four equivalent Co(5)Pr5Co7 cuboctahedra, edges with six equivalent Co(6)Pr4Co8 cuboctahedra,  a faceface with one Co(5)Pr5Co7 cuboctahedra, and faces with nine equivalent Co(6)Pr4Co8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr5Co19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.066
_cell_length_b   5.066
_cell_length_c   16.410
_cell_angle_alpha   81.120
_cell_angle_beta   81.120
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   358.922
_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
  Pr  Pr0  1  0.000  0.000  0.000  1.0
  Pr  Pr1  1  0.921  0.921  0.238  1.0
  Pr  Pr2  1  0.079  0.079  0.762  1.0
  Pr  Pr3  1  0.847  0.847  0.459  1.0
  Pr  Pr4  1  0.153  0.153  0.541  1.0
  Co  Co5  1  0.500  0.500  0.500  1.0
  Co  Co6  1  0.749  0.749  0.753  1.0
  Co  Co7  1  0.251  0.251  0.247  1.0
  Co  Co8  1  0.666  0.666  0.001  1.0
  Co  Co9  1  0.334  0.334  0.999  1.0
  Co  Co10  1  0.585  0.585  0.244  1.0
  Co  Co11  1  0.415  0.415  0.756  1.0
  Co  Co12  1  0.381  0.381  0.366  1.0
  Co  Co13  1  0.872  0.381  0.366  1.0
  Co  Co14  1  0.381  0.872  0.366  1.0
  Co  Co15  1  0.619  0.619  0.634  1.0
  Co  Co16  1  0.128  0.619  0.634  1.0
  Co  Co17  1  0.619  0.128  0.634  1.0
  Co  Co18  1  0.459  0.459  0.122  1.0
  Co  Co19  1  0.959  0.459  0.122  1.0
  Co  Co20  1  0.459  0.959  0.122  1.0
  Co  Co21  1  0.541  0.541  0.878  1.0
  Co  Co22  1  0.041  0.541  0.878  1.0
  Co  Co23  1  0.541  0.041  0.878  1.0
[/CIF]
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The compound described by Pr5Co19 crystallizes in the trigonal R-3m space group. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 18-coordinate geometry to six equivalent Co(3) and twelve equivalent Co(6) atoms. In the second Pr site, Pr(2) is bonded in a 18-coordinate geometry to three equivalent Co(2), three equivalent Co(4), six equivalent Co(5), and six equivalent Co(6) atoms. In the third Pr site, Pr(3) is bonded in a 12-coordinate geometry to three equivalent Co(1) and nine equivalent Co(5) atoms. There are six inequivalent Co sites. In the first Co site, Co(1) is bonded to six equivalent Pr(3) and six equivalent Co(5) atoms to form CoPr6Co6 cuboctahedra that share corners with twelve equivalent Co(5)Pr5Co7 cuboctahedra, edges with six equivalent Co(1)Pr6Co6 cuboctahedra, and faces with eighteen equivalent Co(5)Pr5Co7 cuboctahedra. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Co(5), and three equivalent Co(6) atoms. In the third Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Pr(1) and six equivalent Co(6) atoms. In the fourth Co site, Co(4) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Co(5), and three equivalent Co(6) atoms. In the fifth Co site, Co(5) is bonded to two equivalent Pr(2), three equivalent Pr(3), one Co(1), one Co(2), one Co(4), and four equivalent Co(5) atoms to form distorted CoPr5Co7 cuboctahedra that share corners with two equivalent Co(1)Pr6Co6 cuboctahedra, corners with six equivalent Co(6)Pr4Co8 cuboctahedra, corners with nine equivalent Co(5)Pr5Co7 cuboctahedra, edges with four equivalent Co(6)Pr4Co8 cuboctahedra, edges with four equivalent Co(5)Pr5Co7 cuboctahedra,  a faceface with one Co(6)Pr4Co8 cuboctahedra, faces with three equivalent Co(1)Pr6Co6 cuboctahedra, and faces with ten equivalent Co(5)Pr5Co7 cuboctahedra. In the sixth Co site, Co(6) is bonded to two equivalent Pr(1), two equivalent Pr(2), one Co(2), one Co(4), two equivalent Co(3), and four equivalent Co(6) atoms to form CoPr4Co8 cuboctahedra that share corners with six equivalent Co(5)Pr5Co7 cuboctahedra, corners with ten equivalent Co(6)Pr4Co8 cuboctahedra, edges with four equivalent Co(5)Pr5Co7 cuboctahedra, edges with six equivalent Co(6)Pr4Co8 cuboctahedra,  a faceface with one Co(5)Pr5Co7 cuboctahedra, and faces with nine equivalent Co(6)Pr4Co8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr5Co19
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.066
_cell_length_b   5.066
_cell_length_c   16.410
_cell_angle_alpha   81.120
_cell_angle_beta   81.120
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   358.922
_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
  Pr  Pr0  1  0.000  0.000  0.000  1.0
  Pr  Pr1  1  0.921  0.921  0.238  1.0
  Pr  Pr2  1  0.079  0.079  0.762  1.0
  Pr  Pr3  1  0.847  0.847  0.459  1.0
  Pr  Pr4  1  0.153  0.153  0.541  1.0
  Co  Co5  1  0.500  0.500  0.500  1.0
  Co  Co6  1  0.749  0.749  0.753  1.0
  Co  Co7  1  0.251  0.251  0.247  1.0
  Co  Co8  1  0.666  0.666  0.001  1.0
  Co  Co9  1  0.334  0.334  0.999  1.0
  Co  Co10  1  0.585  0.585  0.244  1.0
  Co  Co11  1  0.415  0.415  0.756  1.0
  Co  Co12  1  0.381  0.381  0.366  1.0
  Co  Co13  1  0.872  0.381  0.366  1.0
  Co  Co14  1  0.381  0.872  0.366  1.0
  Co  Co15  1  0.619  0.619  0.634  1.0
  Co  Co16  1  0.128  0.619  0.634  1.0
  Co  Co17  1  0.619  0.128  0.634  1.0
  Co  Co18  1  0.459  0.459  0.122  1.0
  Co  Co19  1  0.959  0.459  0.122  1.0
  Co  Co20  1  0.459  0.959  0.122  1.0
  Co  Co21  1  0.541  0.541  0.878  1.0
  Co  Co22  1  0.041  0.541  0.878  1.0
  Co  Co23  1  0.541  0.041  0.878  1.0
[/CIF]
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