The compound described by Ce4Co25Al crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Ce sites. In the first Ce site, Ce(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 Ce site, Ce(2) is bonded in a distorted hexagonal planar 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 12-coordinate geometry to two equivalent Ce(1), one Co(4), 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 12-coordinate geometry to one Ce(1), two equivalent Ce(2), one Co(3), 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 12-coordinate geometry to three equivalent Ce(2), one Co(2), two equivalent Co(3), 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 Ce(2), two equivalent Ce(1), one Co(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 Ce(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 CoCeAl2Co9 cuboctahedra that share corners with four equivalent Co(8)Al4Co8 cuboctahedra, corners with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with four equivalent Co(10)Ce4Co8 cuboctahedra, corners with four equivalent Co(5)CeAl2Co9 cuboctahedra, edges with two equivalent Co(5)CeAl2Co9 cuboctahedra, faces with two equivalent Co(8)Al4Co8 cuboctahedra, faces with three equivalent Co(5)CeAl2Co9 cuboctahedra, faces with four equivalent Co(6)Ce4Co8 cuboctahedra, and faces with twelve equivalent Co(9)Ce2Al2Co8 cuboctahedra. In the sixth Co site, Co(6) is bonded to four equivalent Ce(1), two equivalent Co(1), two equivalent Co(10), two equivalent Co(4), and two equivalent Co(9) atoms to form CoCe4Co8 cuboctahedra that share corners with two equivalent Co(8)Al4Co8 cuboctahedra, corners with two equivalent Co(7)Ce4Co8 cuboctahedra, corners with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with four equivalent Co(10)Ce4Co8 cuboctahedra, corners with four equivalent Co(6)Ce4Co8 cuboctahedra, edges with two equivalent Co(6)Ce4Co8 cuboctahedra, edges with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, edges with four equivalent Co(10)Ce4Co8 cuboctahedra, faces with two equivalent Co(6)Ce4Co8 cuboctahedra, faces with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, faces with four equivalent Co(10)Ce4Co8 cuboctahedra, and faces with four equivalent Co(5)CeAl2Co9 cuboctahedra. In the seventh Co site, Co(7) is bonded to four equivalent Ce(2), two equivalent Co(10), two equivalent Co(11), two equivalent Co(2), and two equivalent Co(3) atoms to form a mixture of corner, edge, and face-sharing CoCe4Co8 cuboctahedra. In the eighth Co site, Co(8) is bonded to four equivalent Co(5), four equivalent Co(9), and four equivalent Al(1) atoms to form distorted CoAl4Co8 cuboctahedra that share corners with four equivalent Co(8)Al4Co8 cuboctahedra, corners with four equivalent Co(6)Ce4Co8 cuboctahedra, corners with eight equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with eight equivalent Co(5)CeAl2Co9 cuboctahedra, edges with two equivalent Co(8)Al4Co8 cuboctahedra, edges with eight equivalent Co(9)Ce2Al2Co8 cuboctahedra, faces with two equivalent Co(8)Al4Co8 cuboctahedra, faces with four equivalent Co(5)CeAl2Co9 cuboctahedra, and faces with eight equivalent Co(9)Ce2Al2Co8 cuboctahedra. In the ninth Co site, Co(9) is bonded to two equivalent Ce(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 CoCe2Al2Co8 cuboctahedra that share corners with two equivalent Co(8)Al4Co8 cuboctahedra, corners with two equivalent Co(6)Ce4Co8 cuboctahedra, corners with two equivalent Co(5)CeAl2Co9 cuboctahedra, corners with five equivalent Co(10)Ce4Co8 cuboctahedra, corners with seven equivalent Co(9)Ce2Al2Co8 cuboctahedra,  an edgeedge with one Co(10)Ce4Co8 cuboctahedra, edges with two equivalent Co(8)Al4Co8 cuboctahedra, edges with two equivalent Co(6)Ce4Co8 cuboctahedra, edges with five equivalent Co(9)Ce2Al2Co8 cuboctahedra,  a faceface with one Co(10)Ce4Co8 cuboctahedra, faces with two equivalent Co(8)Al4Co8 cuboctahedra, faces with two equivalent Co(6)Ce4Co8 cuboctahedra, faces with five equivalent Co(9)Ce2Al2Co8 cuboctahedra, and faces with six equivalent Co(5)CeAl2Co9 cuboctahedra. In the tenth Co site, Co(10) is bonded to two equivalent Ce(1), two equivalent Ce(2), one Co(6), one Co(7), two equivalent Co(10), two equivalent Co(2), and two equivalent Co(4) atoms to form CoCe4Co8 cuboctahedra that share corners with two equivalent Co(10)Ce4Co8 cuboctahedra, corners with two equivalent Co(6)Ce4Co8 cuboctahedra, corners with two equivalent Co(7)Ce4Co8 cuboctahedra, corners with two equivalent Co(5)CeAl2Co9 cuboctahedra, corners with five equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with five equivalent Co(11)Ce4Co8 cuboctahedra,  an edgeedge with one Co(9)Ce2Al2Co8 cuboctahedra,  an edgeedge with one Co(11)Ce4Co8 cuboctahedra, edges with two equivalent Co(6)Ce4Co8 cuboctahedra, edges with two equivalent Co(7)Ce4Co8 cuboctahedra, edges with four equivalent Co(10)Ce4Co8 cuboctahedra,  a faceface with one Co(9)Ce2Al2Co8 cuboctahedra,  a faceface with one Co(11)Ce4Co8 cuboctahedra, faces with two equivalent Co(6)Ce4Co8 cuboctahedra, faces with two equivalent Co(7)Ce4Co8 cuboctahedra, and faces with four equivalent Co(10)Ce4Co8 cuboctahedra. In the eleventh Co site, Co(11) is bonded to four equivalent Ce(2), two equivalent Co(11), two equivalent Co(7), and four equivalent Co(3) atoms to form a mixture of corner, edge, and face-sharing CoCe4Co8 cuboctahedra. Al(1) is bonded in a 6-coordinate geometry to two equivalent Co(1), four equivalent Co(5), four equivalent Co(8), and eight equivalent Co(9) atoms. is represented by the CIF file [CIF]
data_Ce4AlCo25
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.029
_cell_length_b   4.810
_cell_length_c   21.014
_cell_angle_alpha   96.572
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   404.601
_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
  Ce  Ce0  1  0.000  0.598  0.197  1.0
  Ce  Ce1  1  0.000  0.200  0.400  1.0
  Ce  Ce2  1  0.000  0.800  0.600  1.0
  Ce  Ce3  1  0.000  0.402  0.803  1.0
  Al  Al4  1  0.000  0.000  0.000  1.0
  Co  Co5  1  0.000  0.061  0.121  1.0
  Co  Co6  1  0.000  0.666  0.333  1.0
  Co  Co7  1  0.000  0.267  0.533  1.0
  Co  Co8  1  0.000  0.867  0.734  1.0
  Co  Co9  1  0.000  0.470  0.940  1.0
  Co  Co10  1  0.000  0.530  0.060  1.0
  Co  Co11  1  0.000  0.133  0.266  1.0
  Co  Co12  1  0.000  0.733  0.467  1.0
  Co  Co13  1  0.000  0.334  0.667  1.0
  Co  Co14  1  0.000  0.939  0.879  1.0
  Co  Co15  1  0.500  0.099  0.198  1.0
  Co  Co16  1  0.500  0.700  0.400  1.0
  Co  Co17  1  0.500  0.300  0.600  1.0
  Co  Co18  1  0.500  0.901  0.802  1.0
  Co  Co19  1  0.500  0.500  0.000  1.0
  Co  Co20  1  0.500  0.289  0.095  1.0
  Co  Co21  1  0.500  0.900  0.299  1.0
  Co  Co22  1  0.500  0.500  0.500  1.0
  Co  Co23  1  0.500  0.100  0.701  1.0
  Co  Co24  1  0.500  0.711  0.905  1.0
  Co  Co25  1  0.500  0.805  0.095  1.0
  Co  Co26  1  0.500  0.399  0.299  1.0
  Co  Co27  1  0.500  0.000  0.500  1.0
  Co  Co28  1  0.500  0.601  0.701  1.0
  Co  Co29  1  0.500  0.195  0.905  1.0
[/CIF]
.
The compound described by Ce4Co25Al crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Ce sites. In the first Ce site, Ce(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 Ce site, Ce(2) is bonded in a distorted hexagonal planar 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 12-coordinate geometry to two equivalent Ce(1), one Co(4), 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 12-coordinate geometry to one Ce(1), two equivalent Ce(2), one Co(3), 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 12-coordinate geometry to three equivalent Ce(2), one Co(2), two equivalent Co(3), 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 Ce(2), two equivalent Ce(1), one Co(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 Ce(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 CoCeAl2Co9 cuboctahedra that share corners with four equivalent Co(8)Al4Co8 cuboctahedra, corners with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with four equivalent Co(10)Ce4Co8 cuboctahedra, corners with four equivalent Co(5)CeAl2Co9 cuboctahedra, edges with two equivalent Co(5)CeAl2Co9 cuboctahedra, faces with two equivalent Co(8)Al4Co8 cuboctahedra, faces with three equivalent Co(5)CeAl2Co9 cuboctahedra, faces with four equivalent Co(6)Ce4Co8 cuboctahedra, and faces with twelve equivalent Co(9)Ce2Al2Co8 cuboctahedra. In the sixth Co site, Co(6) is bonded to four equivalent Ce(1), two equivalent Co(1), two equivalent Co(10), two equivalent Co(4), and two equivalent Co(9) atoms to form CoCe4Co8 cuboctahedra that share corners with two equivalent Co(8)Al4Co8 cuboctahedra, corners with two equivalent Co(7)Ce4Co8 cuboctahedra, corners with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with four equivalent Co(10)Ce4Co8 cuboctahedra, corners with four equivalent Co(6)Ce4Co8 cuboctahedra, edges with two equivalent Co(6)Ce4Co8 cuboctahedra, edges with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, edges with four equivalent Co(10)Ce4Co8 cuboctahedra, faces with two equivalent Co(6)Ce4Co8 cuboctahedra, faces with four equivalent Co(9)Ce2Al2Co8 cuboctahedra, faces with four equivalent Co(10)Ce4Co8 cuboctahedra, and faces with four equivalent Co(5)CeAl2Co9 cuboctahedra. In the seventh Co site, Co(7) is bonded to four equivalent Ce(2), two equivalent Co(10), two equivalent Co(11), two equivalent Co(2), and two equivalent Co(3) atoms to form a mixture of corner, edge, and face-sharing CoCe4Co8 cuboctahedra. In the eighth Co site, Co(8) is bonded to four equivalent Co(5), four equivalent Co(9), and four equivalent Al(1) atoms to form distorted CoAl4Co8 cuboctahedra that share corners with four equivalent Co(8)Al4Co8 cuboctahedra, corners with four equivalent Co(6)Ce4Co8 cuboctahedra, corners with eight equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with eight equivalent Co(5)CeAl2Co9 cuboctahedra, edges with two equivalent Co(8)Al4Co8 cuboctahedra, edges with eight equivalent Co(9)Ce2Al2Co8 cuboctahedra, faces with two equivalent Co(8)Al4Co8 cuboctahedra, faces with four equivalent Co(5)CeAl2Co9 cuboctahedra, and faces with eight equivalent Co(9)Ce2Al2Co8 cuboctahedra. In the ninth Co site, Co(9) is bonded to two equivalent Ce(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 CoCe2Al2Co8 cuboctahedra that share corners with two equivalent Co(8)Al4Co8 cuboctahedra, corners with two equivalent Co(6)Ce4Co8 cuboctahedra, corners with two equivalent Co(5)CeAl2Co9 cuboctahedra, corners with five equivalent Co(10)Ce4Co8 cuboctahedra, corners with seven equivalent Co(9)Ce2Al2Co8 cuboctahedra,  an edgeedge with one Co(10)Ce4Co8 cuboctahedra, edges with two equivalent Co(8)Al4Co8 cuboctahedra, edges with two equivalent Co(6)Ce4Co8 cuboctahedra, edges with five equivalent Co(9)Ce2Al2Co8 cuboctahedra,  a faceface with one Co(10)Ce4Co8 cuboctahedra, faces with two equivalent Co(8)Al4Co8 cuboctahedra, faces with two equivalent Co(6)Ce4Co8 cuboctahedra, faces with five equivalent Co(9)Ce2Al2Co8 cuboctahedra, and faces with six equivalent Co(5)CeAl2Co9 cuboctahedra. In the tenth Co site, Co(10) is bonded to two equivalent Ce(1), two equivalent Ce(2), one Co(6), one Co(7), two equivalent Co(10), two equivalent Co(2), and two equivalent Co(4) atoms to form CoCe4Co8 cuboctahedra that share corners with two equivalent Co(10)Ce4Co8 cuboctahedra, corners with two equivalent Co(6)Ce4Co8 cuboctahedra, corners with two equivalent Co(7)Ce4Co8 cuboctahedra, corners with two equivalent Co(5)CeAl2Co9 cuboctahedra, corners with five equivalent Co(9)Ce2Al2Co8 cuboctahedra, corners with five equivalent Co(11)Ce4Co8 cuboctahedra,  an edgeedge with one Co(9)Ce2Al2Co8 cuboctahedra,  an edgeedge with one Co(11)Ce4Co8 cuboctahedra, edges with two equivalent Co(6)Ce4Co8 cuboctahedra, edges with two equivalent Co(7)Ce4Co8 cuboctahedra, edges with four equivalent Co(10)Ce4Co8 cuboctahedra,  a faceface with one Co(9)Ce2Al2Co8 cuboctahedra,  a faceface with one Co(11)Ce4Co8 cuboctahedra, faces with two equivalent Co(6)Ce4Co8 cuboctahedra, faces with two equivalent Co(7)Ce4Co8 cuboctahedra, and faces with four equivalent Co(10)Ce4Co8 cuboctahedra. In the eleventh Co site, Co(11) is bonded to four equivalent Ce(2), two equivalent Co(11), two equivalent Co(7), and four equivalent Co(3) atoms to form a mixture of corner, edge, and face-sharing CoCe4Co8 cuboctahedra. Al(1) is bonded in a 6-coordinate geometry to two equivalent Co(1), four equivalent Co(5), four equivalent Co(8), and eight equivalent Co(9) atoms. is represented by the CIF file [CIF]
data_Ce4AlCo25
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.029
_cell_length_b   4.810
_cell_length_c   21.014
_cell_angle_alpha   96.572
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   404.601
_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
  Ce  Ce0  1  0.000  0.598  0.197  1.0
  Ce  Ce1  1  0.000  0.200  0.400  1.0
  Ce  Ce2  1  0.000  0.800  0.600  1.0
  Ce  Ce3  1  0.000  0.402  0.803  1.0
  Al  Al4  1  0.000  0.000  0.000  1.0
  Co  Co5  1  0.000  0.061  0.121  1.0
  Co  Co6  1  0.000  0.666  0.333  1.0
  Co  Co7  1  0.000  0.267  0.533  1.0
  Co  Co8  1  0.000  0.867  0.734  1.0
  Co  Co9  1  0.000  0.470  0.940  1.0
  Co  Co10  1  0.000  0.530  0.060  1.0
  Co  Co11  1  0.000  0.133  0.266  1.0
  Co  Co12  1  0.000  0.733  0.467  1.0
  Co  Co13  1  0.000  0.334  0.667  1.0
  Co  Co14  1  0.000  0.939  0.879  1.0
  Co  Co15  1  0.500  0.099  0.198  1.0
  Co  Co16  1  0.500  0.700  0.400  1.0
  Co  Co17  1  0.500  0.300  0.600  1.0
  Co  Co18  1  0.500  0.901  0.802  1.0
  Co  Co19  1  0.500  0.500  0.000  1.0
  Co  Co20  1  0.500  0.289  0.095  1.0
  Co  Co21  1  0.500  0.900  0.299  1.0
  Co  Co22  1  0.500  0.500  0.500  1.0
  Co  Co23  1  0.500  0.100  0.701  1.0
  Co  Co24  1  0.500  0.711  0.905  1.0
  Co  Co25  1  0.500  0.805  0.095  1.0
  Co  Co26  1  0.500  0.399  0.299  1.0
  Co  Co27  1  0.500  0.000  0.500  1.0
  Co  Co28  1  0.500  0.601  0.701  1.0
  Co  Co29  1  0.500  0.195  0.905  1.0
[/CIF]
.