The material structure described by Pr4Co25Al 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. There are eleven inequivalent Co sites. In the first Co site, Co(1) is bonded in a 1-coordinate geometry to two equivalent Pr(1), two equivalent Co(5), two equivalent Co(6), four equivalent Co(9), and one Al(1) atom. 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(4), 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 11-coordinate geometry to one Pr(2), two equivalent Pr(1), two equivalent Co(2), two equivalent Co(6), and four equivalent Co(10) atoms. In the fifth Co site, Co(5) is bonded to one Pr(1), one Co(5), two equivalent Co(1), two equivalent Co(8), four equivalent Co(9), and two equivalent Al(1) atoms to form distorted CoPrAl2Co9 cuboctahedra that share corners with four equivalent Co(9)Pr2Al2Co8 cuboctahedra, corners with four equivalent Co(10)Pr4Co8 cuboctahedra, corners with four equivalent Co(5)PrAl2Co9 cuboctahedra, edges with two equivalent Co(5)PrAl2Co9 cuboctahedra, faces with two equivalent Co(8)Co8 cuboctahedra, faces with three equivalent Co(5)PrAl2Co9 cuboctahedra, faces with four equivalent Co(6)Pr4Co8 cuboctahedra, and faces with twelve equivalent Co(9)Pr2Al2Co8 cuboctahedra. 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(8)Co8 cuboctahedra, corners with two equivalent Co(7)Pr4Co8 cuboctahedra, corners with four equivalent Co(9)Pr2Al2Co8 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)Pr2Al2Co8 cuboctahedra, edges with four equivalent Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with four equivalent Co(9)Pr2Al2Co8 cuboctahedra, faces with four equivalent Co(10)Pr4Co8 cuboctahedra, and faces with four equivalent Co(5)PrAl2Co9 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 Co(5) and four equivalent Co(9) atoms to form distorted CoCo8 cuboctahedra that share corners with four equivalent Co(6)Pr4Co8 cuboctahedra, corners with twelve equivalent Co(9)Pr2Al2Co8 cuboctahedra, edges with two equivalent Co(8)Co8 cuboctahedra, faces with four equivalent Co(9)Pr2Al2Co8 cuboctahedra, and faces with four equivalent Co(5)PrAl2Co9 cuboctahedra. In the ninth Co site, Co(9) is bonded to two equivalent Pr(1), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(5), two equivalent Co(9), and two equivalent Al(1) atoms to form CoPr2Al2Co8 cuboctahedra that share corners with two equivalent Co(6)Pr4Co8 cuboctahedra, corners with two equivalent Co(5)PrAl2Co9 cuboctahedra, corners with three equivalent Co(8)Co8 cuboctahedra, corners with five equivalent Co(10)Pr4Co8 cuboctahedra, corners with seven equivalent Co(9)Pr2Al2Co8 cuboctahedra,  an edgeedge with one Co(10)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with five equivalent Co(9)Pr2Al2Co8 cuboctahedra,  a faceface with one Co(8)Co8 cuboctahedra,  a faceface with one Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with five equivalent Co(9)Pr2Al2Co8 cuboctahedra, and faces with six equivalent Co(5)PrAl2Co9 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 two equivalent Co(5)PrAl2Co9 cuboctahedra, corners with five equivalent Co(9)Pr2Al2Co8 cuboctahedra, corners with five equivalent Co(11)Pr4Co8 cuboctahedra,  an edgeedge with one Co(9)Pr2Al2Co8 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)Pr2Al2Co8 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. Al(1) is bonded in a 6-coordinate geometry to two equivalent Co(1), four equivalent Co(5), and eight equivalent Co(9) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr4AlCo25
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   21.541
_cell_length_b   21.541
_cell_length_c   3.994
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   166.955
_symmetry_Int_Tables_number   1
_cell_volume   418.279
_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  0.404  0.596  0.000  1.0
  Pr  Pr1  1  0.801  0.199  0.000  1.0
  Pr  Pr2  1  0.199  0.801  0.000  1.0
  Pr  Pr3  1  0.596  0.404  0.000  1.0
  Al  Al4  1  0.000  0.000  0.000  1.0
  Co  Co5  1  0.944  0.056  0.000  1.0
  Co  Co6  1  0.336  0.664  0.000  1.0
  Co  Co7  1  0.733  0.267  0.000  1.0
  Co  Co8  1  0.134  0.866  0.000  1.0
  Co  Co9  1  0.529  0.471  0.000  1.0
  Co  Co10  1  0.471  0.529  0.000  1.0
  Co  Co11  1  0.866  0.134  0.000  1.0
  Co  Co12  1  0.267  0.733  0.000  1.0
  Co  Co13  1  0.664  0.336  0.000  1.0
  Co  Co14  1  0.056  0.944  0.000  1.0
  Co  Co15  1  0.902  0.098  0.500  1.0
  Co  Co16  1  0.301  0.699  0.500  1.0
  Co  Co17  1  0.699  0.301  0.500  1.0
  Co  Co18  1  0.098  0.902  0.500  1.0
  Co  Co19  1  0.500  0.500  0.500  1.0
  Co  Co20  1  0.710  0.803  0.500  1.0
  Co  Co21  1  0.104  0.400  0.500  1.0
  Co  Co22  1  0.500  0.000  0.500  1.0
  Co  Co23  1  0.896  0.600  0.500  1.0
  Co  Co24  1  0.290  0.197  0.500  1.0
  Co  Co25  1  0.197  0.290  0.500  1.0
  Co  Co26  1  0.600  0.896  0.500  1.0
  Co  Co27  1  0.000  0.500  0.500  1.0
  Co  Co28  1  0.400  0.104  0.500  1.0
  Co  Co29  1  0.803  0.710  0.500  1.0
[/CIF]
.
The material structure described by Pr4Co25Al 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. There are eleven inequivalent Co sites. In the first Co site, Co(1) is bonded in a 1-coordinate geometry to two equivalent Pr(1), two equivalent Co(5), two equivalent Co(6), four equivalent Co(9), and one Al(1) atom. 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(4), 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 11-coordinate geometry to one Pr(2), two equivalent Pr(1), two equivalent Co(2), two equivalent Co(6), and four equivalent Co(10) atoms. In the fifth Co site, Co(5) is bonded to one Pr(1), one Co(5), two equivalent Co(1), two equivalent Co(8), four equivalent Co(9), and two equivalent Al(1) atoms to form distorted CoPrAl2Co9 cuboctahedra that share corners with four equivalent Co(9)Pr2Al2Co8 cuboctahedra, corners with four equivalent Co(10)Pr4Co8 cuboctahedra, corners with four equivalent Co(5)PrAl2Co9 cuboctahedra, edges with two equivalent Co(5)PrAl2Co9 cuboctahedra, faces with two equivalent Co(8)Co8 cuboctahedra, faces with three equivalent Co(5)PrAl2Co9 cuboctahedra, faces with four equivalent Co(6)Pr4Co8 cuboctahedra, and faces with twelve equivalent Co(9)Pr2Al2Co8 cuboctahedra. 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(8)Co8 cuboctahedra, corners with two equivalent Co(7)Pr4Co8 cuboctahedra, corners with four equivalent Co(9)Pr2Al2Co8 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)Pr2Al2Co8 cuboctahedra, edges with four equivalent Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with four equivalent Co(9)Pr2Al2Co8 cuboctahedra, faces with four equivalent Co(10)Pr4Co8 cuboctahedra, and faces with four equivalent Co(5)PrAl2Co9 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 Co(5) and four equivalent Co(9) atoms to form distorted CoCo8 cuboctahedra that share corners with four equivalent Co(6)Pr4Co8 cuboctahedra, corners with twelve equivalent Co(9)Pr2Al2Co8 cuboctahedra, edges with two equivalent Co(8)Co8 cuboctahedra, faces with four equivalent Co(9)Pr2Al2Co8 cuboctahedra, and faces with four equivalent Co(5)PrAl2Co9 cuboctahedra. In the ninth Co site, Co(9) is bonded to two equivalent Pr(1), one Co(6), one Co(8), two equivalent Co(1), two equivalent Co(5), two equivalent Co(9), and two equivalent Al(1) atoms to form CoPr2Al2Co8 cuboctahedra that share corners with two equivalent Co(6)Pr4Co8 cuboctahedra, corners with two equivalent Co(5)PrAl2Co9 cuboctahedra, corners with three equivalent Co(8)Co8 cuboctahedra, corners with five equivalent Co(10)Pr4Co8 cuboctahedra, corners with seven equivalent Co(9)Pr2Al2Co8 cuboctahedra,  an edgeedge with one Co(10)Pr4Co8 cuboctahedra, edges with two equivalent Co(6)Pr4Co8 cuboctahedra, edges with five equivalent Co(9)Pr2Al2Co8 cuboctahedra,  a faceface with one Co(8)Co8 cuboctahedra,  a faceface with one Co(10)Pr4Co8 cuboctahedra, faces with two equivalent Co(6)Pr4Co8 cuboctahedra, faces with five equivalent Co(9)Pr2Al2Co8 cuboctahedra, and faces with six equivalent Co(5)PrAl2Co9 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 two equivalent Co(5)PrAl2Co9 cuboctahedra, corners with five equivalent Co(9)Pr2Al2Co8 cuboctahedra, corners with five equivalent Co(11)Pr4Co8 cuboctahedra,  an edgeedge with one Co(9)Pr2Al2Co8 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)Pr2Al2Co8 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. Al(1) is bonded in a 6-coordinate geometry to two equivalent Co(1), four equivalent Co(5), and eight equivalent Co(9) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr4AlCo25
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   21.541
_cell_length_b   21.541
_cell_length_c   3.994
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   166.955
_symmetry_Int_Tables_number   1
_cell_volume   418.279
_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  0.404  0.596  0.000  1.0
  Pr  Pr1  1  0.801  0.199  0.000  1.0
  Pr  Pr2  1  0.199  0.801  0.000  1.0
  Pr  Pr3  1  0.596  0.404  0.000  1.0
  Al  Al4  1  0.000  0.000  0.000  1.0
  Co  Co5  1  0.944  0.056  0.000  1.0
  Co  Co6  1  0.336  0.664  0.000  1.0
  Co  Co7  1  0.733  0.267  0.000  1.0
  Co  Co8  1  0.134  0.866  0.000  1.0
  Co  Co9  1  0.529  0.471  0.000  1.0
  Co  Co10  1  0.471  0.529  0.000  1.0
  Co  Co11  1  0.866  0.134  0.000  1.0
  Co  Co12  1  0.267  0.733  0.000  1.0
  Co  Co13  1  0.664  0.336  0.000  1.0
  Co  Co14  1  0.056  0.944  0.000  1.0
  Co  Co15  1  0.902  0.098  0.500  1.0
  Co  Co16  1  0.301  0.699  0.500  1.0
  Co  Co17  1  0.699  0.301  0.500  1.0
  Co  Co18  1  0.098  0.902  0.500  1.0
  Co  Co19  1  0.500  0.500  0.500  1.0
  Co  Co20  1  0.710  0.803  0.500  1.0
  Co  Co21  1  0.104  0.400  0.500  1.0
  Co  Co22  1  0.500  0.000  0.500  1.0
  Co  Co23  1  0.896  0.600  0.500  1.0
  Co  Co24  1  0.290  0.197  0.500  1.0
  Co  Co25  1  0.197  0.290  0.500  1.0
  Co  Co26  1  0.600  0.896  0.500  1.0
  Co  Co27  1  0.000  0.500  0.500  1.0
  Co  Co28  1  0.400  0.104  0.500  1.0
  Co  Co29  1  0.803  0.710  0.500  1.0
[/CIF]
.