The compound described by Ce2Al2Co15 crystallizes in the trigonal R-3m space group. Ce(1) is bonded in a 16-coordinate geometry to six equivalent Co(1), nine equivalent Co(2), and one Al(1) atom. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent Ce(1), two equivalent Co(1), two equivalent Co(3), four equivalent Co(2), and two equivalent Al(1) atoms to form distorted CoCe2Al2Co8 cuboctahedra that share corners with eight equivalent Co(2)Ce3AlCo8 cuboctahedra, corners with twelve equivalent Co(1)Ce2Al2Co8 cuboctahedra,  an edgeedge with one Co(1)Ce2Al2Co8 cuboctahedra, edges with two equivalent Co(2)Ce3AlCo8 cuboctahedra, faces with seven equivalent Co(1)Ce2Al2Co8 cuboctahedra, and faces with ten equivalent Co(2)Ce3AlCo8 cuboctahedra. In the second Co site, Co(2) is bonded to three equivalent Ce(1), two equivalent Co(2), two equivalent Co(3), four equivalent Co(1), and one Al(1) atom to form distorted CoCe3AlCo8 cuboctahedra that share corners with eight equivalent Co(1)Ce2Al2Co8 cuboctahedra, corners with ten equivalent Co(2)Ce3AlCo8 cuboctahedra, edges with two equivalent Co(1)Ce2Al2Co8 cuboctahedra, edges with five equivalent Co(2)Ce3AlCo8 cuboctahedra, faces with seven equivalent Co(2)Ce3AlCo8 cuboctahedra, and faces with ten equivalent Co(1)Ce2Al2Co8 cuboctahedra. In the third Co site, Co(3) is bonded in a 10-coordinate geometry to four equivalent Co(1), four equivalent Co(2), and two equivalent Al(1) atoms. Al(1) is bonded in a 14-coordinate geometry to one Ce(1), three equivalent Co(2), three equivalent Co(3), six equivalent Co(1), and one Al(1) atom. is represented by the CIF card [CIF]
data_Ce2Al2Co15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.326
_cell_length_b   6.326
_cell_length_c   6.326
_cell_angle_alpha   82.507
_cell_angle_beta   82.507
_cell_angle_gamma   82.507
_symmetry_Int_Tables_number   1
_cell_volume   247.179
_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  0.354  0.354  0.354  1.0
  Ce  Ce1  1  0.646  0.646  0.646  1.0
  Al  Al2  1  0.106  0.106  0.106  1.0
  Al  Al3  1  0.894  0.894  0.894  1.0
  Co  Co4  1  0.000  0.286  0.714  1.0
  Co  Co5  1  0.351  0.351  0.853  1.0
  Co  Co6  1  0.000  0.000  0.500  1.0
  Co  Co7  1  0.500  0.000  0.000  1.0
  Co  Co8  1  0.000  0.500  0.000  1.0
  Co  Co9  1  0.286  0.714  0.000  1.0
  Co  Co10  1  0.714  0.000  0.286  1.0
  Co  Co11  1  0.000  0.714  0.286  1.0
  Co  Co12  1  0.714  0.286  0.000  1.0
  Co  Co13  1  0.853  0.351  0.351  1.0
  Co  Co14  1  0.286  0.000  0.714  1.0
  Co  Co15  1  0.649  0.147  0.649  1.0
  Co  Co16  1  0.649  0.649  0.147  1.0
  Co  Co17  1  0.147  0.649  0.649  1.0
  Co  Co18  1  0.351  0.853  0.351  1.0
[/CIF]
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The compound described by Ce2Al2Co15 crystallizes in the trigonal R-3m space group. Ce(1) is bonded in a 16-coordinate geometry to six equivalent Co(1), nine equivalent Co(2), and one Al(1) atom. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent Ce(1), two equivalent Co(1), two equivalent Co(3), four equivalent Co(2), and two equivalent Al(1) atoms to form distorted CoCe2Al2Co8 cuboctahedra that share corners with eight equivalent Co(2)Ce3AlCo8 cuboctahedra, corners with twelve equivalent Co(1)Ce2Al2Co8 cuboctahedra,  an edgeedge with one Co(1)Ce2Al2Co8 cuboctahedra, edges with two equivalent Co(2)Ce3AlCo8 cuboctahedra, faces with seven equivalent Co(1)Ce2Al2Co8 cuboctahedra, and faces with ten equivalent Co(2)Ce3AlCo8 cuboctahedra. In the second Co site, Co(2) is bonded to three equivalent Ce(1), two equivalent Co(2), two equivalent Co(3), four equivalent Co(1), and one Al(1) atom to form distorted CoCe3AlCo8 cuboctahedra that share corners with eight equivalent Co(1)Ce2Al2Co8 cuboctahedra, corners with ten equivalent Co(2)Ce3AlCo8 cuboctahedra, edges with two equivalent Co(1)Ce2Al2Co8 cuboctahedra, edges with five equivalent Co(2)Ce3AlCo8 cuboctahedra, faces with seven equivalent Co(2)Ce3AlCo8 cuboctahedra, and faces with ten equivalent Co(1)Ce2Al2Co8 cuboctahedra. In the third Co site, Co(3) is bonded in a 10-coordinate geometry to four equivalent Co(1), four equivalent Co(2), and two equivalent Al(1) atoms. Al(1) is bonded in a 14-coordinate geometry to one Ce(1), three equivalent Co(2), three equivalent Co(3), six equivalent Co(1), and one Al(1) atom. is represented by the CIF card [CIF]
data_Ce2Al2Co15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.326
_cell_length_b   6.326
_cell_length_c   6.326
_cell_angle_alpha   82.507
_cell_angle_beta   82.507
_cell_angle_gamma   82.507
_symmetry_Int_Tables_number   1
_cell_volume   247.179
_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  0.354  0.354  0.354  1.0
  Ce  Ce1  1  0.646  0.646  0.646  1.0
  Al  Al2  1  0.106  0.106  0.106  1.0
  Al  Al3  1  0.894  0.894  0.894  1.0
  Co  Co4  1  0.000  0.286  0.714  1.0
  Co  Co5  1  0.351  0.351  0.853  1.0
  Co  Co6  1  0.000  0.000  0.500  1.0
  Co  Co7  1  0.500  0.000  0.000  1.0
  Co  Co8  1  0.000  0.500  0.000  1.0
  Co  Co9  1  0.286  0.714  0.000  1.0
  Co  Co10  1  0.714  0.000  0.286  1.0
  Co  Co11  1  0.000  0.714  0.286  1.0
  Co  Co12  1  0.714  0.286  0.000  1.0
  Co  Co13  1  0.853  0.351  0.351  1.0
  Co  Co14  1  0.286  0.000  0.714  1.0
  Co  Co15  1  0.649  0.147  0.649  1.0
  Co  Co16  1  0.649  0.649  0.147  1.0
  Co  Co17  1  0.147  0.649  0.649  1.0
  Co  Co18  1  0.351  0.853  0.351  1.0
[/CIF]
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