The compound described by CoWSi is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are five inequivalent W sites. In the first W site, W(1) is bonded in a 16-coordinate geometry to one W(1); three W(2,2); one Co(1); two equivalent Co(2); two equivalent Co(3); three equivalent Si(2); and four equivalent Si(1) atoms. In the second W site, W(2) is bonded in a 16-coordinate geometry to one W(2), three equivalent W(1), one Co(3), two equivalent Co(1), four equivalent Co(2), two equivalent Si(1), and three equivalent Si(2) atoms. In the third W site, W(2) is bonded in a 16-coordinate geometry to one W(2); three W(1,1); one Co(3); two equivalent Co(1); four equivalent Co(2); two equivalent Si(1); and three equivalent Si(2) atoms. In the fourth W site, W(1) is bonded in a 16-coordinate geometry to one W(1), three equivalent W(2), one Co(1), two equivalent Co(2), two equivalent Co(3), three equivalent Si(2), and four equivalent Si(1) atoms. In the fifth W site, W(1) is bonded in a 16-coordinate geometry to one W(1), three equivalent W(2), one Co(1), two equivalent Co(2), two equivalent Co(3), three equivalent Si(2), and four equivalent Si(1) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two W(1,1); four equivalent W(2); four equivalent Co(2); and two equivalent Si(2) atoms to form CoCo4Si2W6 cuboctahedra that share corners with two equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Co(1)Co4Si2W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with eight equivalent Si(1)Co2Si4W6 cuboctahedra, edges with two equivalent Co(1)Co4Si2W6 cuboctahedra, edges with four equivalent Co(3)Si6W6 cuboctahedra, faces with four equivalent Si(1)Co2Si4W6 cuboctahedra, faces with six equivalent Si(2)Co4Si2W6 cuboctahedra, and faces with eight equivalent Co(2)Co4Si2W6 cuboctahedra. In the second Co site, Co(2) is bonded to two W(1,1); four W(2,2); two equivalent Co(1); two equivalent Co(2); and two equivalent Si(2) atoms to form distorted CoCo4Si2W6 cuboctahedra that share corners with four equivalent Co(2)Co4Si2W6 cuboctahedra, corners with four equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with six equivalent Si(1)Co2Si4W6 cuboctahedra, edges with two equivalent Co(2)Co4Si2W6 cuboctahedra, edges with four equivalent Si(1)Co2Si4W6 cuboctahedra, faces with two equivalent Co(3)Si6W6 cuboctahedra, faces with two equivalent Si(1)Co2Si4W6 cuboctahedra, faces with four equivalent Co(1)Co4Si2W6 cuboctahedra, faces with four equivalent Co(2)Co4Si2W6 cuboctahedra, and faces with six equivalent Si(2)Co4Si2W6 cuboctahedra. In the third Co site, Co(3) is bonded to two W(2,2); four W(1,1); two equivalent Si(2); and four equivalent Si(1) atoms to form CoSi6W6 cuboctahedra that share corners with two equivalent Co(1)Co4Si2W6 cuboctahedra, corners with four equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with eight equivalent Co(2)Co4Si2W6 cuboctahedra, edges with two equivalent Co(3)Si6W6 cuboctahedra, edges with four equivalent Co(1)Co4Si2W6 cuboctahedra, faces with four equivalent Co(2)Co4Si2W6 cuboctahedra, faces with six equivalent Si(2)Co4Si2W6 cuboctahedra, and faces with eight equivalent Si(1)Co2Si4W6 cuboctahedra. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to two W(2,2); four W(1,1,1); two equivalent Co(3); two equivalent Si(1); and two equivalent Si(2) atoms to form SiCo2Si4W6 cuboctahedra that share corners with four equivalent Co(1)Co4Si2W6 cuboctahedra, corners with four equivalent Si(1)Co2Si4W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with six equivalent Co(2)Co4Si2W6 cuboctahedra, edges with two equivalent Si(1)Co2Si4W6 cuboctahedra, edges with four equivalent Co(2)Co4Si2W6 cuboctahedra, faces with two equivalent Co(1)Co4Si2W6 cuboctahedra, faces with two equivalent Co(2)Co4Si2W6 cuboctahedra, faces with four equivalent Co(3)Si6W6 cuboctahedra, faces with four equivalent Si(1)Co2Si4W6 cuboctahedra, and faces with six equivalent Si(2)Co4Si2W6 cuboctahedra. In the second Si site, Si(2) is bonded to three W(1,1); three equivalent W(2); one Co(1); one Co(3); two equivalent Co(2); and two equivalent Si(1) atoms to form distorted SiCo4Si2W6 cuboctahedra that share corners with two equivalent Co(1)Co4Si2W6 cuboctahedra, corners with two equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Co(2)Co4Si2W6 cuboctahedra, corners with four equivalent Si(1)Co2Si4W6 cuboctahedra, edges with six equivalent Si(2)Co4Si2W6 cuboctahedra, faces with two equivalent Si(2)Co4Si2W6 cuboctahedra, faces with three equivalent Co(1)Co4Si2W6 cuboctahedra, faces with three equivalent Co(3)Si6W6 cuboctahedra, faces with six equivalent Co(2)Co4Si2W6 cuboctahedra, and faces with six equivalent Si(1)Co2Si4W6 cuboctahedra. is represented by the CIF file [CIF]
data_CoSiW
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.719
_cell_length_b   4.719
_cell_length_c   7.578
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.149
_symmetry_Int_Tables_number   1
_cell_volume   148.803
_cell_formula_units_Z   4
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
  Co  Co0  1  0.832  0.168  0.000  1.0
  Co  Co1  1  0.829  0.649  0.000  1.0
  Co  Co2  1  0.351  0.171  0.000  1.0
  Co  Co3  1  0.146  0.854  0.500  1.0
  Si  Si4  1  0.161  0.356  0.500  1.0
  Si  Si5  1  0.644  0.839  0.500  1.0
  Si  Si6  1  0.010  0.990  0.231  1.0
  Si  Si7  1  0.010  0.990  0.769  1.0
  W  W8  1  0.668  0.332  0.689  1.0
  W  W9  1  0.340  0.660  0.819  1.0
  W  W10  1  0.340  0.660  0.181  1.0
  W  W11  1  0.668  0.332  0.311  1.0
[/CIF]
.
The compound described by CoWSi is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are five inequivalent W sites. In the first W site, W(1) is bonded in a 16-coordinate geometry to one W(1); three W(2,2); one Co(1); two equivalent Co(2); two equivalent Co(3); three equivalent Si(2); and four equivalent Si(1) atoms. In the second W site, W(2) is bonded in a 16-coordinate geometry to one W(2), three equivalent W(1), one Co(3), two equivalent Co(1), four equivalent Co(2), two equivalent Si(1), and three equivalent Si(2) atoms. In the third W site, W(2) is bonded in a 16-coordinate geometry to one W(2); three W(1,1); one Co(3); two equivalent Co(1); four equivalent Co(2); two equivalent Si(1); and three equivalent Si(2) atoms. In the fourth W site, W(1) is bonded in a 16-coordinate geometry to one W(1), three equivalent W(2), one Co(1), two equivalent Co(2), two equivalent Co(3), three equivalent Si(2), and four equivalent Si(1) atoms. In the fifth W site, W(1) is bonded in a 16-coordinate geometry to one W(1), three equivalent W(2), one Co(1), two equivalent Co(2), two equivalent Co(3), three equivalent Si(2), and four equivalent Si(1) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to two W(1,1); four equivalent W(2); four equivalent Co(2); and two equivalent Si(2) atoms to form CoCo4Si2W6 cuboctahedra that share corners with two equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Co(1)Co4Si2W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with eight equivalent Si(1)Co2Si4W6 cuboctahedra, edges with two equivalent Co(1)Co4Si2W6 cuboctahedra, edges with four equivalent Co(3)Si6W6 cuboctahedra, faces with four equivalent Si(1)Co2Si4W6 cuboctahedra, faces with six equivalent Si(2)Co4Si2W6 cuboctahedra, and faces with eight equivalent Co(2)Co4Si2W6 cuboctahedra. In the second Co site, Co(2) is bonded to two W(1,1); four W(2,2); two equivalent Co(1); two equivalent Co(2); and two equivalent Si(2) atoms to form distorted CoCo4Si2W6 cuboctahedra that share corners with four equivalent Co(2)Co4Si2W6 cuboctahedra, corners with four equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with six equivalent Si(1)Co2Si4W6 cuboctahedra, edges with two equivalent Co(2)Co4Si2W6 cuboctahedra, edges with four equivalent Si(1)Co2Si4W6 cuboctahedra, faces with two equivalent Co(3)Si6W6 cuboctahedra, faces with two equivalent Si(1)Co2Si4W6 cuboctahedra, faces with four equivalent Co(1)Co4Si2W6 cuboctahedra, faces with four equivalent Co(2)Co4Si2W6 cuboctahedra, and faces with six equivalent Si(2)Co4Si2W6 cuboctahedra. In the third Co site, Co(3) is bonded to two W(2,2); four W(1,1); two equivalent Si(2); and four equivalent Si(1) atoms to form CoSi6W6 cuboctahedra that share corners with two equivalent Co(1)Co4Si2W6 cuboctahedra, corners with four equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with eight equivalent Co(2)Co4Si2W6 cuboctahedra, edges with two equivalent Co(3)Si6W6 cuboctahedra, edges with four equivalent Co(1)Co4Si2W6 cuboctahedra, faces with four equivalent Co(2)Co4Si2W6 cuboctahedra, faces with six equivalent Si(2)Co4Si2W6 cuboctahedra, and faces with eight equivalent Si(1)Co2Si4W6 cuboctahedra. There are two inequivalent Si sites. In the first Si site, Si(1) is bonded to two W(2,2); four W(1,1,1); two equivalent Co(3); two equivalent Si(1); and two equivalent Si(2) atoms to form SiCo2Si4W6 cuboctahedra that share corners with four equivalent Co(1)Co4Si2W6 cuboctahedra, corners with four equivalent Si(1)Co2Si4W6 cuboctahedra, corners with four equivalent Si(2)Co4Si2W6 cuboctahedra, corners with six equivalent Co(2)Co4Si2W6 cuboctahedra, edges with two equivalent Si(1)Co2Si4W6 cuboctahedra, edges with four equivalent Co(2)Co4Si2W6 cuboctahedra, faces with two equivalent Co(1)Co4Si2W6 cuboctahedra, faces with two equivalent Co(2)Co4Si2W6 cuboctahedra, faces with four equivalent Co(3)Si6W6 cuboctahedra, faces with four equivalent Si(1)Co2Si4W6 cuboctahedra, and faces with six equivalent Si(2)Co4Si2W6 cuboctahedra. In the second Si site, Si(2) is bonded to three W(1,1); three equivalent W(2); one Co(1); one Co(3); two equivalent Co(2); and two equivalent Si(1) atoms to form distorted SiCo4Si2W6 cuboctahedra that share corners with two equivalent Co(1)Co4Si2W6 cuboctahedra, corners with two equivalent Co(3)Si6W6 cuboctahedra, corners with four equivalent Co(2)Co4Si2W6 cuboctahedra, corners with four equivalent Si(1)Co2Si4W6 cuboctahedra, edges with six equivalent Si(2)Co4Si2W6 cuboctahedra, faces with two equivalent Si(2)Co4Si2W6 cuboctahedra, faces with three equivalent Co(1)Co4Si2W6 cuboctahedra, faces with three equivalent Co(3)Si6W6 cuboctahedra, faces with six equivalent Co(2)Co4Si2W6 cuboctahedra, and faces with six equivalent Si(1)Co2Si4W6 cuboctahedra. is represented by the CIF file [CIF]
data_CoSiW
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.719
_cell_length_b   4.719
_cell_length_c   7.578
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.149
_symmetry_Int_Tables_number   1
_cell_volume   148.803
_cell_formula_units_Z   4
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
  Co  Co0  1  0.832  0.168  0.000  1.0
  Co  Co1  1  0.829  0.649  0.000  1.0
  Co  Co2  1  0.351  0.171  0.000  1.0
  Co  Co3  1  0.146  0.854  0.500  1.0
  Si  Si4  1  0.161  0.356  0.500  1.0
  Si  Si5  1  0.644  0.839  0.500  1.0
  Si  Si6  1  0.010  0.990  0.231  1.0
  Si  Si7  1  0.010  0.990  0.769  1.0
  W  W8  1  0.668  0.332  0.689  1.0
  W  W9  1  0.340  0.660  0.819  1.0
  W  W10  1  0.340  0.660  0.181  1.0
  W  W11  1  0.668  0.332  0.311  1.0
[/CIF]
.