The compound described by Ce3Co8Si is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 12-coordinate geometry to one Ce(2), nine equivalent Co(1), and three equivalent Si(1) atoms. In the second Ce site, Ce(2) is bonded in a 20-coordinate geometry to two equivalent Ce(1), three equivalent Co(2), three equivalent Co(3), and twelve equivalent Co(1) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent Ce(2), three equivalent Ce(1), one Co(2), one Co(3), four equivalent Co(1), and one Si(1) atom to form distorted CoCe5Co6Si cuboctahedra that share corners with two equivalent Si(1)Ce6Co6 cuboctahedra, corners with fifteen equivalent Co(1)Ce5Co6Si cuboctahedra, edges with eight equivalent Co(1)Ce5Co6Si cuboctahedra, faces with three equivalent Si(1)Ce6Co6 cuboctahedra, and faces with eleven equivalent Co(1)Ce5Co6Si cuboctahedra. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Ce(2) and six equivalent Co(1) atoms. In the third Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Ce(2) and six equivalent Co(1) atoms. Si(1) is bonded to six equivalent Ce(1) and six equivalent Co(1) atoms to form SiCe6Co6 cuboctahedra that share corners with twelve equivalent Co(1)Ce5Co6Si cuboctahedra, edges with six equivalent Si(1)Ce6Co6 cuboctahedra, and faces with eighteen equivalent Co(1)Ce5Co6Si cuboctahedra. is represented by the CIF file [CIF]
data_Ce3Co8Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.055
_cell_length_b   5.055
_cell_length_c   15.402
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   340.850
_cell_formula_units_Z   2
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  0.333  0.667  0.548  1.0
  Ce  Ce1  1  0.667  0.333  0.452  1.0
  Ce  Ce2  1  0.667  0.333  0.048  1.0
  Ce  Ce3  1  0.333  0.667  0.952  1.0
  Ce  Ce4  1  0.333  0.667  0.750  1.0
  Ce  Ce5  1  0.667  0.333  0.250  1.0
  Co  Co6  1  0.167  0.334  0.126  1.0
  Co  Co7  1  0.833  0.666  0.874  1.0
  Co  Co8  1  0.666  0.833  0.126  1.0
  Co  Co9  1  0.833  0.666  0.626  1.0
  Co  Co10  1  0.334  0.167  0.874  1.0
  Co  Co11  1  0.167  0.334  0.374  1.0
  Co  Co12  1  0.167  0.833  0.126  1.0
  Co  Co13  1  0.334  0.167  0.626  1.0
  Co  Co14  1  0.833  0.167  0.874  1.0
  Co  Co15  1  0.666  0.833  0.374  1.0
  Co  Co16  1  0.833  0.167  0.626  1.0
  Co  Co17  1  0.167  0.833  0.374  1.0
  Co  Co18  1  0.000  0.000  0.250  1.0
  Co  Co19  1  0.000  0.000  0.750  1.0
  Co  Co20  1  0.333  0.667  0.250  1.0
  Co  Co21  1  0.667  0.333  0.750  1.0
  Si  Si22  1  0.000  0.000  0.000  1.0
  Si  Si23  1  0.000  0.000  0.500  1.0
[/CIF]
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The compound described by Ce3Co8Si is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 12-coordinate geometry to one Ce(2), nine equivalent Co(1), and three equivalent Si(1) atoms. In the second Ce site, Ce(2) is bonded in a 20-coordinate geometry to two equivalent Ce(1), three equivalent Co(2), three equivalent Co(3), and twelve equivalent Co(1) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two equivalent Ce(2), three equivalent Ce(1), one Co(2), one Co(3), four equivalent Co(1), and one Si(1) atom to form distorted CoCe5Co6Si cuboctahedra that share corners with two equivalent Si(1)Ce6Co6 cuboctahedra, corners with fifteen equivalent Co(1)Ce5Co6Si cuboctahedra, edges with eight equivalent Co(1)Ce5Co6Si cuboctahedra, faces with three equivalent Si(1)Ce6Co6 cuboctahedra, and faces with eleven equivalent Co(1)Ce5Co6Si cuboctahedra. In the second Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Ce(2) and six equivalent Co(1) atoms. In the third Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Ce(2) and six equivalent Co(1) atoms. Si(1) is bonded to six equivalent Ce(1) and six equivalent Co(1) atoms to form SiCe6Co6 cuboctahedra that share corners with twelve equivalent Co(1)Ce5Co6Si cuboctahedra, edges with six equivalent Si(1)Ce6Co6 cuboctahedra, and faces with eighteen equivalent Co(1)Ce5Co6Si cuboctahedra. is represented by the CIF file [CIF]
data_Ce3Co8Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.055
_cell_length_b   5.055
_cell_length_c   15.402
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   340.850
_cell_formula_units_Z   2
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  0.333  0.667  0.548  1.0
  Ce  Ce1  1  0.667  0.333  0.452  1.0
  Ce  Ce2  1  0.667  0.333  0.048  1.0
  Ce  Ce3  1  0.333  0.667  0.952  1.0
  Ce  Ce4  1  0.333  0.667  0.750  1.0
  Ce  Ce5  1  0.667  0.333  0.250  1.0
  Co  Co6  1  0.167  0.334  0.126  1.0
  Co  Co7  1  0.833  0.666  0.874  1.0
  Co  Co8  1  0.666  0.833  0.126  1.0
  Co  Co9  1  0.833  0.666  0.626  1.0
  Co  Co10  1  0.334  0.167  0.874  1.0
  Co  Co11  1  0.167  0.334  0.374  1.0
  Co  Co12  1  0.167  0.833  0.126  1.0
  Co  Co13  1  0.334  0.167  0.626  1.0
  Co  Co14  1  0.833  0.167  0.874  1.0
  Co  Co15  1  0.666  0.833  0.374  1.0
  Co  Co16  1  0.833  0.167  0.626  1.0
  Co  Co17  1  0.167  0.833  0.374  1.0
  Co  Co18  1  0.000  0.000  0.250  1.0
  Co  Co19  1  0.000  0.000  0.750  1.0
  Co  Co20  1  0.333  0.667  0.250  1.0
  Co  Co21  1  0.667  0.333  0.750  1.0
  Si  Si22  1  0.000  0.000  0.000  1.0
  Si  Si23  1  0.000  0.000  0.500  1.0
[/CIF]
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