The crystal structure described by PrCo4Si is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Cmmm space group. Pr(1) is bonded in a 18-coordinate geometry to six equivalent Co(1), eight equivalent Co(2), and four equivalent Si(1) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 10-coordinate geometry to three equivalent Pr(1), one Co(1), four equivalent Co(2), and two equivalent Si(1) atoms. In the second Co site, Co(2) is bonded to four equivalent Pr(1), two equivalent Co(2), four equivalent Co(1), and two equivalent Si(1) atoms to form CoPr4Co6Si2 cuboctahedra that share corners with four equivalent Si(1)Pr4Co8 cuboctahedra, corners with twelve equivalent Co(2)Pr4Co6Si2 cuboctahedra, edges with four equivalent Si(1)Pr4Co8 cuboctahedra, edges with six equivalent Co(2)Pr4Co6Si2 cuboctahedra, faces with four equivalent Si(1)Pr4Co8 cuboctahedra, and faces with six equivalent Co(2)Pr4Co6Si2 cuboctahedra. Si(1) is bonded to four equivalent Pr(1), four equivalent Co(1), and four equivalent Co(2) atoms to form distorted SiPr4Co8 cuboctahedra that share corners with eight equivalent Co(2)Pr4Co6Si2 cuboctahedra, corners with eight equivalent Si(1)Pr4Co8 cuboctahedra, edges with two equivalent Si(1)Pr4Co8 cuboctahedra, edges with eight equivalent Co(2)Pr4Co6Si2 cuboctahedra, faces with two equivalent Si(1)Pr4Co8 cuboctahedra, and faces with eight equivalent Co(2)Pr4Co6Si2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_PrCo4Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.907
_cell_length_b   4.907
_cell_length_c   3.924
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   116.726
_symmetry_Int_Tables_number   1
_cell_volume   84.386
_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  0.500  0.500  0.000  1.0
  Co  Co1  1  0.158  0.842  0.000  1.0
  Co  Co2  1  0.842  0.158  0.000  1.0
  Co  Co3  1  0.000  0.500  0.500  1.0
  Co  Co4  1  0.500  0.000  0.500  1.0
  Si  Si5  1  0.000  0.000  0.500  1.0
[/CIF]
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The crystal structure described by PrCo4Si is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Cmmm space group. Pr(1) is bonded in a 18-coordinate geometry to six equivalent Co(1), eight equivalent Co(2), and four equivalent Si(1) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 10-coordinate geometry to three equivalent Pr(1), one Co(1), four equivalent Co(2), and two equivalent Si(1) atoms. In the second Co site, Co(2) is bonded to four equivalent Pr(1), two equivalent Co(2), four equivalent Co(1), and two equivalent Si(1) atoms to form CoPr4Co6Si2 cuboctahedra that share corners with four equivalent Si(1)Pr4Co8 cuboctahedra, corners with twelve equivalent Co(2)Pr4Co6Si2 cuboctahedra, edges with four equivalent Si(1)Pr4Co8 cuboctahedra, edges with six equivalent Co(2)Pr4Co6Si2 cuboctahedra, faces with four equivalent Si(1)Pr4Co8 cuboctahedra, and faces with six equivalent Co(2)Pr4Co6Si2 cuboctahedra. Si(1) is bonded to four equivalent Pr(1), four equivalent Co(1), and four equivalent Co(2) atoms to form distorted SiPr4Co8 cuboctahedra that share corners with eight equivalent Co(2)Pr4Co6Si2 cuboctahedra, corners with eight equivalent Si(1)Pr4Co8 cuboctahedra, edges with two equivalent Si(1)Pr4Co8 cuboctahedra, edges with eight equivalent Co(2)Pr4Co6Si2 cuboctahedra, faces with two equivalent Si(1)Pr4Co8 cuboctahedra, and faces with eight equivalent Co(2)Pr4Co6Si2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_PrCo4Si
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.907
_cell_length_b   4.907
_cell_length_c   3.924
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   116.726
_symmetry_Int_Tables_number   1
_cell_volume   84.386
_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  0.500  0.500  0.000  1.0
  Co  Co1  1  0.158  0.842  0.000  1.0
  Co  Co2  1  0.842  0.158  0.000  1.0
  Co  Co3  1  0.000  0.500  0.500  1.0
  Co  Co4  1  0.500  0.000  0.500  1.0
  Si  Si5  1  0.000  0.000  0.500  1.0
[/CIF]
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