The structure described by Dy3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a 14-coordinate geometry to one Co(1), one Co(10), one Co(2), one Co(3), one Co(4), one Co(7), one Co(8), one Co(9), one Sn(1), one Sn(2), one Sn(3), one Sn(4), one Sn(5), and one Sn(6) atom. In the second Dy site, Dy(2) is bonded in a 14-coordinate geometry to one Co(1), one Co(2), two equivalent Co(3), two equivalent Co(7), two equivalent Co(9), one Sn(1), one Sn(2), two equivalent Sn(3), and two equivalent Sn(5) atoms. In the third Dy site, Dy(3) is bonded in a 14-coordinate geometry to one Co(1), one Co(10), one Co(2), one Co(5), one Co(6), one Co(7), one Co(8), one Co(9), one Sn(1), one Sn(2), one Sn(3), one Sn(4), one Sn(5), and one Sn(6) atom. In the fourth Dy site, Dy(4) is bonded in a 14-coordinate geometry to one Co(1), one Co(2), two equivalent Co(5), two equivalent Co(7), two equivalent Co(9), one Sn(1), one Sn(2), two equivalent Sn(3), and two equivalent Sn(5) atoms. There are twelve inequivalent Co sites. In the first Co site, Co(1) is bonded in a 7-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Sn(1), one Sn(4), and two equivalent Sn(3) atoms. In the second Co site, Co(2) is bonded in a 7-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Sn(2), one Sn(6), and two equivalent Sn(5) atoms. In the third Co site, Co(3) is bonded to one Dy(1), one Dy(2), one Co(11), one Co(12), one Co(3), one Co(4), one Co(7), one Co(8), one Co(9), one Sn(3), one Sn(4), and one Sn(5) atom to form distorted CoDy2Co7Sn3 cuboctahedra that share  a cornercorner with one Co(3)Dy2Co7Sn3 cuboctahedra,  a cornercorner with one Co(4)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra,  a faceface with one Co(3)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(4)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(6)Dy2Co7Sn3 cuboctahedra. In the fourth Co site, Co(4) is bonded to two equivalent Dy(1), one Co(10), one Co(11), one Co(12), two equivalent Co(3), two equivalent Co(7), one Sn(6), and two equivalent Sn(3) atoms to form distorted CoDy2Co7Sn3 cuboctahedra that share corners with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(6)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with four equivalent Co(5)Dy2Co7Sn3 cuboctahedra. In the fifth Co site, Co(5) is bonded to one Dy(3), one Dy(4), one Co(10), one Co(11), one Co(12), one Co(5), one Co(6), one Co(7), one Co(9), one Sn(3), one Sn(5), and one Sn(6) atom to form distorted CoDy2Co7Sn3 cuboctahedra that share  a cornercorner with one Co(5)Dy2Co7Sn3 cuboctahedra,  a cornercorner with one Co(6)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra,  a faceface with one Co(5)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(6)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(4)Dy2Co7Sn3 cuboctahedra. In the sixth Co site, Co(6) is bonded to two equivalent Dy(3), one Co(11), one Co(12), one Co(8), two equivalent Co(5), two equivalent Co(9), one Sn(4), and two equivalent Sn(5) atoms to form distorted CoDy2Co7Sn3 cuboctahedra that share corners with two equivalent Co(4)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra, faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra, and faces with four equivalent Co(3)Dy2Co7Sn3 cuboctahedra. In the seventh Co site, Co(7) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(11), one Co(3), one Co(4), one Co(5), one Sn(1), one Sn(3), one Sn(5), and one Sn(6) atom. In the eighth Co site, Co(8) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(11), one Co(6), two equivalent Co(3), one Sn(1), one Sn(4), and two equivalent Sn(5) atoms. In the ninth Co site, Co(9) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(12), one Co(3), one Co(5), one Co(6), one Sn(2), one Sn(3), one Sn(4), and one Sn(5) atom. In the tenth Co site, Co(10) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(12), one Co(4), two equivalent Co(5), one Sn(2), one Sn(6), and two equivalent Sn(3) atoms. In the eleventh Co site, Co(11) is bonded to one Co(4), one Co(6), one Co(8), two equivalent Co(3), two equivalent Co(5), two equivalent Co(7), one Sn(6), and two equivalent Sn(5) atoms to form CoCo9Sn3 cuboctahedra that share  a faceface with one Co(4)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(6)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(12)Co9Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra. In the twelfth Co site, Co(12) is bonded to one Co(10), one Co(4), one Co(6), two equivalent Co(3), two equivalent Co(5), two equivalent Co(9), one Sn(4), and two equivalent Sn(3) atoms to form CoCo9Sn3 cuboctahedra that share  a faceface with one Co(4)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(6)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(11)Co9Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra. There are six inequivalent Sn sites. In the first Sn site, Sn(1) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Co(1), one Co(8), and two equivalent Co(7) atoms. In the second Sn site, Sn(2) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Co(10), one Co(2), and two equivalent Co(9) atoms. In the third Sn site, Sn(3) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(1), one Co(10), one Co(12), one Co(3), one Co(4), one Co(5), one Co(7), and one Co(9) atom. In the fourth Sn site, Sn(4) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(1), one Co(12), one Co(6), one Co(8), two equivalent Co(3), and two equivalent Co(9) atoms. In the fifth Sn site, Sn(5) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(11), one Co(2), one Co(3), one Co(5), one Co(6), one Co(7), one Co(8), and one Co(9) atom. In the sixth Sn site, Sn(6) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(10), one Co(11), one Co(2), one Co(4), two equivalent Co(5), and two equivalent Co(7) atoms. is represented by the CIF file [CIF]
data_Dy3(Co2Sn)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.365
_cell_length_b   8.944
_cell_length_c   8.945
_cell_angle_alpha   119.987
_cell_angle_beta   90.262
_cell_angle_gamma   89.729
_symmetry_Int_Tables_number   1
_cell_volume   510.322
_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
  Dy  Dy0  1  0.786  0.472  0.942  1.0
  Dy  Dy1  1  0.785  0.472  0.528  1.0
  Dy  Dy2  1  0.285  0.529  0.057  1.0
  Dy  Dy3  1  0.786  0.058  0.529  1.0
  Dy  Dy4  1  0.287  0.529  0.471  1.0
  Dy  Dy5  1  0.285  0.943  0.471  1.0
  Co  Co6  1  0.564  0.666  0.334  1.0
  Co  Co7  1  0.064  0.333  0.667  1.0
  Co  Co8  1  0.755  0.099  0.197  1.0
  Co  Co9  1  0.756  0.097  0.903  1.0
  Co  Co10  1  0.255  0.903  0.805  1.0
  Co  Co11  1  0.755  0.803  0.902  1.0
  Co  Co12  1  0.255  0.901  0.099  1.0
  Co  Co13  1  0.255  0.195  0.097  1.0
  Co  Co14  1  0.961  0.841  0.681  1.0
  Co  Co15  1  0.959  0.842  0.158  1.0
  Co  Co16  1  0.461  0.159  0.317  1.0
  Co  Co17  1  0.961  0.319  0.159  1.0
  Co  Co18  1  0.460  0.159  0.841  1.0
  Co  Co19  1  0.461  0.683  0.841  1.0
  Co  Co20  1  0.002  0.997  0.003  1.0
  Co  Co21  1  0.502  0.997  0.002  1.0
  Sn  Sn22  1  0.950  0.667  0.333  1.0
  Sn  Sn23  1  0.450  0.334  0.666  1.0
  Sn  Sn24  1  0.582  0.829  0.655  1.0
  Sn  Sn25  1  0.581  0.826  0.174  1.0
  Sn  Sn26  1  0.082  0.175  0.346  1.0
  Sn  Sn27  1  0.582  0.345  0.171  1.0
  Sn  Sn28  1  0.081  0.172  0.828  1.0
  Sn  Sn29  1  0.082  0.654  0.825  1.0
[/CIF]
.
The structure described by Dy3Co8Sn4 is Hexagonal Laves-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Dy sites. In the first Dy site, Dy(1) is bonded in a 14-coordinate geometry to one Co(1), one Co(10), one Co(2), one Co(3), one Co(4), one Co(7), one Co(8), one Co(9), one Sn(1), one Sn(2), one Sn(3), one Sn(4), one Sn(5), and one Sn(6) atom. In the second Dy site, Dy(2) is bonded in a 14-coordinate geometry to one Co(1), one Co(2), two equivalent Co(3), two equivalent Co(7), two equivalent Co(9), one Sn(1), one Sn(2), two equivalent Sn(3), and two equivalent Sn(5) atoms. In the third Dy site, Dy(3) is bonded in a 14-coordinate geometry to one Co(1), one Co(10), one Co(2), one Co(5), one Co(6), one Co(7), one Co(8), one Co(9), one Sn(1), one Sn(2), one Sn(3), one Sn(4), one Sn(5), and one Sn(6) atom. In the fourth Dy site, Dy(4) is bonded in a 14-coordinate geometry to one Co(1), one Co(2), two equivalent Co(5), two equivalent Co(7), two equivalent Co(9), one Sn(1), one Sn(2), two equivalent Sn(3), and two equivalent Sn(5) atoms. There are twelve inequivalent Co sites. In the first Co site, Co(1) is bonded in a 7-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Sn(1), one Sn(4), and two equivalent Sn(3) atoms. In the second Co site, Co(2) is bonded in a 7-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Sn(2), one Sn(6), and two equivalent Sn(5) atoms. In the third Co site, Co(3) is bonded to one Dy(1), one Dy(2), one Co(11), one Co(12), one Co(3), one Co(4), one Co(7), one Co(8), one Co(9), one Sn(3), one Sn(4), and one Sn(5) atom to form distorted CoDy2Co7Sn3 cuboctahedra that share  a cornercorner with one Co(3)Dy2Co7Sn3 cuboctahedra,  a cornercorner with one Co(4)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra,  a faceface with one Co(3)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(4)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(6)Dy2Co7Sn3 cuboctahedra. In the fourth Co site, Co(4) is bonded to two equivalent Dy(1), one Co(10), one Co(11), one Co(12), two equivalent Co(3), two equivalent Co(7), one Sn(6), and two equivalent Sn(3) atoms to form distorted CoDy2Co7Sn3 cuboctahedra that share corners with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(6)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with four equivalent Co(5)Dy2Co7Sn3 cuboctahedra. In the fifth Co site, Co(5) is bonded to one Dy(3), one Dy(4), one Co(10), one Co(11), one Co(12), one Co(5), one Co(6), one Co(7), one Co(9), one Sn(3), one Sn(5), and one Sn(6) atom to form distorted CoDy2Co7Sn3 cuboctahedra that share  a cornercorner with one Co(5)Dy2Co7Sn3 cuboctahedra,  a cornercorner with one Co(6)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra,  a faceface with one Co(5)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(6)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(4)Dy2Co7Sn3 cuboctahedra. In the sixth Co site, Co(6) is bonded to two equivalent Dy(3), one Co(11), one Co(12), one Co(8), two equivalent Co(5), two equivalent Co(9), one Sn(4), and two equivalent Sn(5) atoms to form distorted CoDy2Co7Sn3 cuboctahedra that share corners with two equivalent Co(4)Dy2Co7Sn3 cuboctahedra, corners with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(11)Co9Sn3 cuboctahedra,  a faceface with one Co(12)Co9Sn3 cuboctahedra, faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra, and faces with four equivalent Co(3)Dy2Co7Sn3 cuboctahedra. In the seventh Co site, Co(7) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(11), one Co(3), one Co(4), one Co(5), one Sn(1), one Sn(3), one Sn(5), and one Sn(6) atom. In the eighth Co site, Co(8) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(11), one Co(6), two equivalent Co(3), one Sn(1), one Sn(4), and two equivalent Sn(5) atoms. In the ninth Co site, Co(9) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(12), one Co(3), one Co(5), one Co(6), one Sn(2), one Sn(3), one Sn(4), and one Sn(5) atom. In the tenth Co site, Co(10) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(12), one Co(4), two equivalent Co(5), one Sn(2), one Sn(6), and two equivalent Sn(3) atoms. In the eleventh Co site, Co(11) is bonded to one Co(4), one Co(6), one Co(8), two equivalent Co(3), two equivalent Co(5), two equivalent Co(7), one Sn(6), and two equivalent Sn(5) atoms to form CoCo9Sn3 cuboctahedra that share  a faceface with one Co(4)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(6)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(12)Co9Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra. In the twelfth Co site, Co(12) is bonded to one Co(10), one Co(4), one Co(6), two equivalent Co(3), two equivalent Co(5), two equivalent Co(9), one Sn(4), and two equivalent Sn(3) atoms to form CoCo9Sn3 cuboctahedra that share  a faceface with one Co(4)Dy2Co7Sn3 cuboctahedra,  a faceface with one Co(6)Dy2Co7Sn3 cuboctahedra, faces with two equivalent Co(11)Co9Sn3 cuboctahedra, faces with two equivalent Co(3)Dy2Co7Sn3 cuboctahedra, and faces with two equivalent Co(5)Dy2Co7Sn3 cuboctahedra. There are six inequivalent Sn sites. In the first Sn site, Sn(1) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Co(1), one Co(8), and two equivalent Co(7) atoms. In the second Sn site, Sn(2) is bonded in a 10-coordinate geometry to one Dy(2), one Dy(4), two equivalent Dy(1), two equivalent Dy(3), one Co(10), one Co(2), and two equivalent Co(9) atoms. In the third Sn site, Sn(3) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(1), one Co(10), one Co(12), one Co(3), one Co(4), one Co(5), one Co(7), and one Co(9) atom. In the fourth Sn site, Sn(4) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(1), one Co(12), one Co(6), one Co(8), two equivalent Co(3), and two equivalent Co(9) atoms. In the fifth Sn site, Sn(5) is bonded in a 12-coordinate geometry to one Dy(1), one Dy(2), one Dy(3), one Dy(4), one Co(11), one Co(2), one Co(3), one Co(5), one Co(6), one Co(7), one Co(8), and one Co(9) atom. In the sixth Sn site, Sn(6) is bonded in a 12-coordinate geometry to two equivalent Dy(1), two equivalent Dy(3), one Co(10), one Co(11), one Co(2), one Co(4), two equivalent Co(5), and two equivalent Co(7) atoms. is represented by the CIF file [CIF]
data_Dy3(Co2Sn)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.365
_cell_length_b   8.944
_cell_length_c   8.945
_cell_angle_alpha   119.987
_cell_angle_beta   90.262
_cell_angle_gamma   89.729
_symmetry_Int_Tables_number   1
_cell_volume   510.322
_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
  Dy  Dy0  1  0.786  0.472  0.942  1.0
  Dy  Dy1  1  0.785  0.472  0.528  1.0
  Dy  Dy2  1  0.285  0.529  0.057  1.0
  Dy  Dy3  1  0.786  0.058  0.529  1.0
  Dy  Dy4  1  0.287  0.529  0.471  1.0
  Dy  Dy5  1  0.285  0.943  0.471  1.0
  Co  Co6  1  0.564  0.666  0.334  1.0
  Co  Co7  1  0.064  0.333  0.667  1.0
  Co  Co8  1  0.755  0.099  0.197  1.0
  Co  Co9  1  0.756  0.097  0.903  1.0
  Co  Co10  1  0.255  0.903  0.805  1.0
  Co  Co11  1  0.755  0.803  0.902  1.0
  Co  Co12  1  0.255  0.901  0.099  1.0
  Co  Co13  1  0.255  0.195  0.097  1.0
  Co  Co14  1  0.961  0.841  0.681  1.0
  Co  Co15  1  0.959  0.842  0.158  1.0
  Co  Co16  1  0.461  0.159  0.317  1.0
  Co  Co17  1  0.961  0.319  0.159  1.0
  Co  Co18  1  0.460  0.159  0.841  1.0
  Co  Co19  1  0.461  0.683  0.841  1.0
  Co  Co20  1  0.002  0.997  0.003  1.0
  Co  Co21  1  0.502  0.997  0.002  1.0
  Sn  Sn22  1  0.950  0.667  0.333  1.0
  Sn  Sn23  1  0.450  0.334  0.666  1.0
  Sn  Sn24  1  0.582  0.829  0.655  1.0
  Sn  Sn25  1  0.581  0.826  0.174  1.0
  Sn  Sn26  1  0.082  0.175  0.346  1.0
  Sn  Sn27  1  0.582  0.345  0.171  1.0
  Sn  Sn28  1  0.081  0.172  0.828  1.0
  Sn  Sn29  1  0.082  0.654  0.825  1.0
[/CIF]
.