The material described by Pr4ZrCo25 crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 18-coordinate geometry to one Co(2), one Co(5), two equivalent Co(1), two equivalent Co(4), four equivalent Co(10), four equivalent Co(6), and four equivalent Co(9) atoms. In the second Pr site, Pr(2) is bonded in a 18-coordinate geometry to one Co(4), two equivalent Co(2), three equivalent Co(3), four equivalent Co(10), four equivalent Co(11), and four equivalent Co(7) atoms. Zr(1) is bonded in a 18-coordinate geometry to two equivalent Co(1), four equivalent Co(5), four equivalent Co(8), and eight equivalent Co(9) atoms. There are eleven inequivalent Co sites. In the first Co site, Co(1) is bonded in a 9-coordinate geometry to two equivalent Pr(1), one Zr(1), two equivalent Co(5), two equivalent Co(6), and four equivalent Co(9) atoms. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to one Pr(1), two equivalent Pr(2), two equivalent Co(7), and four equivalent Co(10) atoms. In the third Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Pr(2), two equivalent Co(7), and four equivalent Co(11) atoms. In the fourth Co site, Co(4) is bonded in a 9-coordinate geometry to one Pr(2), two equivalent Pr(1), two equivalent Co(6), and four equivalent Co(10) atoms. In the fifth Co site, Co(5) is bonded in a 12-coordinate geometry to one Pr(1), two equivalent Zr(1), one Co(5), two equivalent Co(1), two equivalent Co(8), and four equivalent Co(9) atoms. In the sixth Co site, Co(6) is bonded to four equivalent Pr(1), two equivalent Co(1), two equivalent Co(10), two equivalent Co(4), and two equivalent Co(9) atoms to form CoPr4Co8 cuboctahedra that share corners with two equivalent Co(7)Pr4Co8 cuboctahedra, corners with two equivalent Co(8)Zr4Co8 cuboctahedra, corners with four equivalent Co(9)Pr2Zr2Co8 cuboctahedra, corners with four equivalent Co(10)Pr4Co8 cuboctahedra, corners with four equivalent Co(6)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with four equivalent Co(9)Pr2Zr2Co8 cuboctahedra, edges with four equivalent Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with four equivalent Co(9)Pr2Zr2Co8 cuboctahedra, and faces with four equivalent Co(10)Pr4Co8 cuboctahedra. In the seventh Co site, Co(7) is bonded to four equivalent Pr(2), two equivalent Co(10), two equivalent Co(11), two equivalent Co(2), and two equivalent Co(3) atoms to form a mixture of edge, corner, and face-sharing CoPr4Co8 cuboctahedra. In the eighth Co site, Co(8) is bonded to four equivalent Zr(1), four equivalent Co(5), and four equivalent Co(9) atoms to form CoZr4Co8 cuboctahedra that share corners with four equivalent Co(6)Pr4Co8 cuboctahedra, corners with four equivalent Co(8)Zr4Co8 cuboctahedra, corners with eight equivalent Co(9)Pr2Zr2Co8 cuboctahedra, edges with two equivalent Co(8)Zr4Co8 cuboctahedra, edges with eight equivalent Co(9)Pr2Zr2Co8 cuboctahedra, faces with two equivalent Co(8)Zr4Co8 cuboctahedra, and faces with eight equivalent Co(9)Pr2Zr2Co8 cuboctahedra. In the ninth Co site, Co(9) is bonded to two equivalent Pr(1), two equivalent Zr(1), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(5), and two equivalent Co(9) atoms to form CoPr2Zr2Co8 cuboctahedra that share corners with two equivalent Co(6)Pr4Co8 cuboctahedra, corners with two equivalent Co(8)Zr4Co8 cuboctahedra, corners with five equivalent Co(10)Pr4Co8 cuboctahedra, corners with seven equivalent Co(9)Pr2Zr2Co8 cuboctahedra,  an edgeedge with one Co(10)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with two equivalent Co(8)Zr4Co8 cuboctahedra, edges with five equivalent Co(9)Pr2Zr2Co8 cuboctahedra,  a faceface with one Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with two equivalent Co(8)Zr4Co8 cuboctahedra, and faces with five equivalent Co(9)Pr2Zr2Co8 cuboctahedra. In the tenth Co site, Co(10) is bonded to two equivalent Pr(1), two equivalent Pr(2), one Co(6), one Co(7), two equivalent Co(10), two equivalent Co(2), and two equivalent Co(4) atoms to form CoPr4Co8 cuboctahedra that share corners with two equivalent Co(10)Pr4Co8 cuboctahedra, corners with two equivalent Co(6)Pr4Co8 cuboctahedra, corners with two equivalent Co(7)Pr4Co8 cuboctahedra, corners with five equivalent Co(9)Pr2Zr2Co8 cuboctahedra, corners with five equivalent Co(11)Pr4Co8 cuboctahedra,  an edgeedge with one Co(9)Pr2Zr2Co8 cuboctahedra,  an edgeedge with one Co(11)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with two equivalent Co(7)Pr4Co8 cuboctahedra, edges with four equivalent Co(10)Pr4Co8 cuboctahedra,  a faceface with one Co(9)Pr2Zr2Co8 cuboctahedra,  a faceface with one Co(11)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with two equivalent Co(7)Pr4Co8 cuboctahedra, and faces with four equivalent Co(10)Pr4Co8 cuboctahedra. In the eleventh Co site, Co(11) is bonded to four equivalent Pr(2), two equivalent Co(11), two equivalent Co(7), and four equivalent Co(3) atoms to form a mixture of edge, corner, and face-sharing CoPr4Co8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr4ZrCo25
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   21.745
_cell_length_b   21.745
_cell_length_c   3.969
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   166.849
_symmetry_Int_Tables_number   1
_cell_volume   427.007
_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  0.902  0.098  0.000  1.0
  Pr  Pr1  1  0.300  0.700  0.000  1.0
  Pr  Pr2  1  0.700  0.300  0.000  1.0
  Pr  Pr3  1  0.098  0.902  0.000  1.0
  Zr  Zr4  1  0.500  0.500  0.000  1.0
  Co  Co5  1  0.436  0.564  0.000  1.0
  Co  Co6  1  0.834  0.166  0.000  1.0
  Co  Co7  1  0.233  0.767  0.000  1.0
  Co  Co8  1  0.633  0.367  0.000  1.0
  Co  Co9  1  0.030  0.970  0.000  1.0
  Co  Co10  1  0.970  0.030  0.000  1.0
  Co  Co11  1  0.367  0.633  0.000  1.0
  Co  Co12  1  0.767  0.233  0.000  1.0
  Co  Co13  1  0.166  0.834  0.000  1.0
  Co  Co14  1  0.564  0.436  0.000  1.0
  Co  Co15  1  0.401  0.599  0.500  1.0
  Co  Co16  1  0.800  0.200  0.500  1.0
  Co  Co17  1  0.200  0.800  0.500  1.0
  Co  Co18  1  0.599  0.401  0.500  1.0
  Co  Co19  1  0.000  0.000  0.500  1.0
  Co  Co20  1  0.214  0.307  0.500  1.0
  Co  Co21  1  0.601  0.900  0.500  1.0
  Co  Co22  1  0.000  0.500  0.500  1.0
  Co  Co23  1  0.399  0.100  0.500  1.0
  Co  Co24  1  0.786  0.693  0.500  1.0
  Co  Co25  1  0.693  0.786  0.500  1.0
  Co  Co26  1  0.100  0.399  0.500  1.0
  Co  Co27  1  0.500  0.000  0.500  1.0
  Co  Co28  1  0.900  0.601  0.500  1.0
  Co  Co29  1  0.307  0.214  0.500  1.0
[/CIF]
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The material described by Pr4ZrCo25 crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 18-coordinate geometry to one Co(2), one Co(5), two equivalent Co(1), two equivalent Co(4), four equivalent Co(10), four equivalent Co(6), and four equivalent Co(9) atoms. In the second Pr site, Pr(2) is bonded in a 18-coordinate geometry to one Co(4), two equivalent Co(2), three equivalent Co(3), four equivalent Co(10), four equivalent Co(11), and four equivalent Co(7) atoms. Zr(1) is bonded in a 18-coordinate geometry to two equivalent Co(1), four equivalent Co(5), four equivalent Co(8), and eight equivalent Co(9) atoms. There are eleven inequivalent Co sites. In the first Co site, Co(1) is bonded in a 9-coordinate geometry to two equivalent Pr(1), one Zr(1), two equivalent Co(5), two equivalent Co(6), and four equivalent Co(9) atoms. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to one Pr(1), two equivalent Pr(2), two equivalent Co(7), and four equivalent Co(10) atoms. In the third Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Pr(2), two equivalent Co(7), and four equivalent Co(11) atoms. In the fourth Co site, Co(4) is bonded in a 9-coordinate geometry to one Pr(2), two equivalent Pr(1), two equivalent Co(6), and four equivalent Co(10) atoms. In the fifth Co site, Co(5) is bonded in a 12-coordinate geometry to one Pr(1), two equivalent Zr(1), one Co(5), two equivalent Co(1), two equivalent Co(8), and four equivalent Co(9) atoms. In the sixth Co site, Co(6) is bonded to four equivalent Pr(1), two equivalent Co(1), two equivalent Co(10), two equivalent Co(4), and two equivalent Co(9) atoms to form CoPr4Co8 cuboctahedra that share corners with two equivalent Co(7)Pr4Co8 cuboctahedra, corners with two equivalent Co(8)Zr4Co8 cuboctahedra, corners with four equivalent Co(9)Pr2Zr2Co8 cuboctahedra, corners with four equivalent Co(10)Pr4Co8 cuboctahedra, corners with four equivalent Co(6)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with four equivalent Co(9)Pr2Zr2Co8 cuboctahedra, edges with four equivalent Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with four equivalent Co(9)Pr2Zr2Co8 cuboctahedra, and faces with four equivalent Co(10)Pr4Co8 cuboctahedra. In the seventh Co site, Co(7) is bonded to four equivalent Pr(2), two equivalent Co(10), two equivalent Co(11), two equivalent Co(2), and two equivalent Co(3) atoms to form a mixture of edge, corner, and face-sharing CoPr4Co8 cuboctahedra. In the eighth Co site, Co(8) is bonded to four equivalent Zr(1), four equivalent Co(5), and four equivalent Co(9) atoms to form CoZr4Co8 cuboctahedra that share corners with four equivalent Co(6)Pr4Co8 cuboctahedra, corners with four equivalent Co(8)Zr4Co8 cuboctahedra, corners with eight equivalent Co(9)Pr2Zr2Co8 cuboctahedra, edges with two equivalent Co(8)Zr4Co8 cuboctahedra, edges with eight equivalent Co(9)Pr2Zr2Co8 cuboctahedra, faces with two equivalent Co(8)Zr4Co8 cuboctahedra, and faces with eight equivalent Co(9)Pr2Zr2Co8 cuboctahedra. In the ninth Co site, Co(9) is bonded to two equivalent Pr(1), two equivalent Zr(1), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(5), and two equivalent Co(9) atoms to form CoPr2Zr2Co8 cuboctahedra that share corners with two equivalent Co(6)Pr4Co8 cuboctahedra, corners with two equivalent Co(8)Zr4Co8 cuboctahedra, corners with five equivalent Co(10)Pr4Co8 cuboctahedra, corners with seven equivalent Co(9)Pr2Zr2Co8 cuboctahedra,  an edgeedge with one Co(10)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with two equivalent Co(8)Zr4Co8 cuboctahedra, edges with five equivalent Co(9)Pr2Zr2Co8 cuboctahedra,  a faceface with one Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with two equivalent Co(8)Zr4Co8 cuboctahedra, and faces with five equivalent Co(9)Pr2Zr2Co8 cuboctahedra. In the tenth Co site, Co(10) is bonded to two equivalent Pr(1), two equivalent Pr(2), one Co(6), one Co(7), two equivalent Co(10), two equivalent Co(2), and two equivalent Co(4) atoms to form CoPr4Co8 cuboctahedra that share corners with two equivalent Co(10)Pr4Co8 cuboctahedra, corners with two equivalent Co(6)Pr4Co8 cuboctahedra, corners with two equivalent Co(7)Pr4Co8 cuboctahedra, corners with five equivalent Co(9)Pr2Zr2Co8 cuboctahedra, corners with five equivalent Co(11)Pr4Co8 cuboctahedra,  an edgeedge with one Co(9)Pr2Zr2Co8 cuboctahedra,  an edgeedge with one Co(11)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with two equivalent Co(7)Pr4Co8 cuboctahedra, edges with four equivalent Co(10)Pr4Co8 cuboctahedra,  a faceface with one Co(9)Pr2Zr2Co8 cuboctahedra,  a faceface with one Co(11)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with two equivalent Co(7)Pr4Co8 cuboctahedra, and faces with four equivalent Co(10)Pr4Co8 cuboctahedra. In the eleventh Co site, Co(11) is bonded to four equivalent Pr(2), two equivalent Co(11), two equivalent Co(7), and four equivalent Co(3) atoms to form a mixture of edge, corner, and face-sharing CoPr4Co8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr4ZrCo25
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   21.745
_cell_length_b   21.745
_cell_length_c   3.969
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   166.849
_symmetry_Int_Tables_number   1
_cell_volume   427.007
_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  0.902  0.098  0.000  1.0
  Pr  Pr1  1  0.300  0.700  0.000  1.0
  Pr  Pr2  1  0.700  0.300  0.000  1.0
  Pr  Pr3  1  0.098  0.902  0.000  1.0
  Zr  Zr4  1  0.500  0.500  0.000  1.0
  Co  Co5  1  0.436  0.564  0.000  1.0
  Co  Co6  1  0.834  0.166  0.000  1.0
  Co  Co7  1  0.233  0.767  0.000  1.0
  Co  Co8  1  0.633  0.367  0.000  1.0
  Co  Co9  1  0.030  0.970  0.000  1.0
  Co  Co10  1  0.970  0.030  0.000  1.0
  Co  Co11  1  0.367  0.633  0.000  1.0
  Co  Co12  1  0.767  0.233  0.000  1.0
  Co  Co13  1  0.166  0.834  0.000  1.0
  Co  Co14  1  0.564  0.436  0.000  1.0
  Co  Co15  1  0.401  0.599  0.500  1.0
  Co  Co16  1  0.800  0.200  0.500  1.0
  Co  Co17  1  0.200  0.800  0.500  1.0
  Co  Co18  1  0.599  0.401  0.500  1.0
  Co  Co19  1  0.000  0.000  0.500  1.0
  Co  Co20  1  0.214  0.307  0.500  1.0
  Co  Co21  1  0.601  0.900  0.500  1.0
  Co  Co22  1  0.000  0.500  0.500  1.0
  Co  Co23  1  0.399  0.100  0.500  1.0
  Co  Co24  1  0.786  0.693  0.500  1.0
  Co  Co25  1  0.693  0.786  0.500  1.0
  Co  Co26  1  0.100  0.399  0.500  1.0
  Co  Co27  1  0.500  0.000  0.500  1.0
  Co  Co28  1  0.900  0.601  0.500  1.0
  Co  Co29  1  0.307  0.214  0.500  1.0
[/CIF]
.