The structure described by Yb3(Co2Sn)4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. Yb(1) is bonded in a 12-coordinate geometry to two equivalent Co(2), two equivalent Co(3), four equivalent Co(1), two equivalent Sn(2), and four equivalent Sn(1) atoms. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to four equivalent Yb(1), one Co(4), three equivalent Co(2), one Sn(2), and three equivalent Sn(1) atoms. In the second Co site, Co(2) is bonded to two equivalent Yb(1), two equivalent Co(2), two equivalent Co(4), three equivalent Co(1), and three equivalent Sn(1) atoms to form distorted CoYb2Co7Sn3 cuboctahedra that share corners with four equivalent Co(2)Yb2Co7Sn3 cuboctahedra, corners with five equivalent Sn(1)Yb4Co8 cuboctahedra, faces with two equivalent Co(4)Co9Sn3 cuboctahedra, faces with six equivalent Co(2)Yb2Co7Sn3 cuboctahedra, and faces with six equivalent Sn(1)Yb4Co8 cuboctahedra. In the third Co site, Co(3) is bonded in a 10-coordinate geometry to six equivalent Yb(1), one Sn(2), and three equivalent Sn(1) atoms. In the fourth Co site, Co(4) is bonded to three equivalent Co(1), six equivalent Co(2), and three equivalent Sn(1) atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent Sn(1)Yb4Co8 cuboctahedra, faces with two equivalent Co(4)Co9Sn3 cuboctahedra, faces with six equivalent Co(2)Yb2Co7Sn3 cuboctahedra, and faces with six equivalent Sn(1)Yb4Co8 cuboctahedra. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to four equivalent Yb(1), one Co(3), one Co(4), three equivalent Co(1), and three equivalent Co(2) atoms to form distorted SnYb4Co8 cuboctahedra that share  a cornercorner with one Co(4)Co9Sn3 cuboctahedra, corners with four equivalent Sn(1)Yb4Co8 cuboctahedra, corners with five equivalent Co(2)Yb2Co7Sn3 cuboctahedra, faces with two equivalent Co(4)Co9Sn3 cuboctahedra, faces with six equivalent Co(2)Yb2Co7Sn3 cuboctahedra, and faces with eight equivalent Sn(1)Yb4Co8 cuboctahedra. In the second Sn site, Sn(2) is bonded in a 10-coordinate geometry to six equivalent Yb(1), one Co(3), and three equivalent Co(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Yb3(Co2Sn)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.529
_cell_length_b   8.866
_cell_length_c   8.866
_cell_angle_alpha   120.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   512.459
_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
  Yb  Yb0  1  0.782  0.475  0.949  1.0
  Yb  Yb1  1  0.782  0.475  0.525  1.0
  Yb  Yb2  1  0.282  0.525  0.051  1.0
  Yb  Yb3  1  0.782  0.051  0.525  1.0
  Yb  Yb4  1  0.282  0.525  0.475  1.0
  Yb  Yb5  1  0.282  0.949  0.475  1.0
  Co  Co6  1  0.945  0.842  0.684  1.0
  Co  Co7  1  0.945  0.842  0.158  1.0
  Co  Co8  1  0.445  0.158  0.316  1.0
  Co  Co9  1  0.945  0.316  0.158  1.0
  Co  Co10  1  0.445  0.158  0.842  1.0
  Co  Co11  1  0.445  0.684  0.842  1.0
  Co  Co12  1  0.749  0.096  0.193  1.0
  Co  Co13  1  0.749  0.096  0.904  1.0
  Co  Co14  1  0.249  0.904  0.807  1.0
  Co  Co15  1  0.749  0.807  0.904  1.0
  Co  Co16  1  0.249  0.904  0.096  1.0
  Co  Co17  1  0.249  0.193  0.096  1.0
  Co  Co18  1  0.626  0.667  0.333  1.0
  Co  Co19  1  0.126  0.333  0.667  1.0
  Co  Co20  1  0.996  0.000  0.000  1.0
  Co  Co21  1  0.496  0.000  0.000  1.0
  Sn  Sn22  1  0.570  0.828  0.655  1.0
  Sn  Sn23  1  0.570  0.828  0.172  1.0
  Sn  Sn24  1  0.070  0.172  0.345  1.0
  Sn  Sn25  1  0.570  0.345  0.172  1.0
  Sn  Sn26  1  0.070  0.172  0.828  1.0
  Sn  Sn27  1  0.070  0.655  0.828  1.0
  Sn  Sn28  1  0.966  0.667  0.333  1.0
  Sn  Sn29  1  0.466  0.333  0.667  1.0
[/CIF]
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The structure described by Yb3(Co2Sn)4 is Hexagonal Laves-derived structured and crystallizes in the hexagonal P6_3mc space group. Yb(1) is bonded in a 12-coordinate geometry to two equivalent Co(2), two equivalent Co(3), four equivalent Co(1), two equivalent Sn(2), and four equivalent Sn(1) atoms. There are four inequivalent Co sites. In the first Co site, Co(1) is bonded in a 12-coordinate geometry to four equivalent Yb(1), one Co(4), three equivalent Co(2), one Sn(2), and three equivalent Sn(1) atoms. In the second Co site, Co(2) is bonded to two equivalent Yb(1), two equivalent Co(2), two equivalent Co(4), three equivalent Co(1), and three equivalent Sn(1) atoms to form distorted CoYb2Co7Sn3 cuboctahedra that share corners with four equivalent Co(2)Yb2Co7Sn3 cuboctahedra, corners with five equivalent Sn(1)Yb4Co8 cuboctahedra, faces with two equivalent Co(4)Co9Sn3 cuboctahedra, faces with six equivalent Co(2)Yb2Co7Sn3 cuboctahedra, and faces with six equivalent Sn(1)Yb4Co8 cuboctahedra. In the third Co site, Co(3) is bonded in a 10-coordinate geometry to six equivalent Yb(1), one Sn(2), and three equivalent Sn(1) atoms. In the fourth Co site, Co(4) is bonded to three equivalent Co(1), six equivalent Co(2), and three equivalent Sn(1) atoms to form CoCo9Sn3 cuboctahedra that share corners with three equivalent Sn(1)Yb4Co8 cuboctahedra, faces with two equivalent Co(4)Co9Sn3 cuboctahedra, faces with six equivalent Co(2)Yb2Co7Sn3 cuboctahedra, and faces with six equivalent Sn(1)Yb4Co8 cuboctahedra. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to four equivalent Yb(1), one Co(3), one Co(4), three equivalent Co(1), and three equivalent Co(2) atoms to form distorted SnYb4Co8 cuboctahedra that share  a cornercorner with one Co(4)Co9Sn3 cuboctahedra, corners with four equivalent Sn(1)Yb4Co8 cuboctahedra, corners with five equivalent Co(2)Yb2Co7Sn3 cuboctahedra, faces with two equivalent Co(4)Co9Sn3 cuboctahedra, faces with six equivalent Co(2)Yb2Co7Sn3 cuboctahedra, and faces with eight equivalent Sn(1)Yb4Co8 cuboctahedra. In the second Sn site, Sn(2) is bonded in a 10-coordinate geometry to six equivalent Yb(1), one Co(3), and three equivalent Co(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Yb3(Co2Sn)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.529
_cell_length_b   8.866
_cell_length_c   8.866
_cell_angle_alpha   120.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   512.459
_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
  Yb  Yb0  1  0.782  0.475  0.949  1.0
  Yb  Yb1  1  0.782  0.475  0.525  1.0
  Yb  Yb2  1  0.282  0.525  0.051  1.0
  Yb  Yb3  1  0.782  0.051  0.525  1.0
  Yb  Yb4  1  0.282  0.525  0.475  1.0
  Yb  Yb5  1  0.282  0.949  0.475  1.0
  Co  Co6  1  0.945  0.842  0.684  1.0
  Co  Co7  1  0.945  0.842  0.158  1.0
  Co  Co8  1  0.445  0.158  0.316  1.0
  Co  Co9  1  0.945  0.316  0.158  1.0
  Co  Co10  1  0.445  0.158  0.842  1.0
  Co  Co11  1  0.445  0.684  0.842  1.0
  Co  Co12  1  0.749  0.096  0.193  1.0
  Co  Co13  1  0.749  0.096  0.904  1.0
  Co  Co14  1  0.249  0.904  0.807  1.0
  Co  Co15  1  0.749  0.807  0.904  1.0
  Co  Co16  1  0.249  0.904  0.096  1.0
  Co  Co17  1  0.249  0.193  0.096  1.0
  Co  Co18  1  0.626  0.667  0.333  1.0
  Co  Co19  1  0.126  0.333  0.667  1.0
  Co  Co20  1  0.996  0.000  0.000  1.0
  Co  Co21  1  0.496  0.000  0.000  1.0
  Sn  Sn22  1  0.570  0.828  0.655  1.0
  Sn  Sn23  1  0.570  0.828  0.172  1.0
  Sn  Sn24  1  0.070  0.172  0.345  1.0
  Sn  Sn25  1  0.570  0.345  0.172  1.0
  Sn  Sn26  1  0.070  0.172  0.828  1.0
  Sn  Sn27  1  0.070  0.655  0.828  1.0
  Sn  Sn28  1  0.966  0.667  0.333  1.0
  Sn  Sn29  1  0.466  0.333  0.667  1.0
[/CIF]
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