The structure described by MgDy2S4 is Spinel-like structured and crystallizes in the orthorhombic Pnma space group. Mg(1) is bonded to one S(2), one S(3), and two equivalent S(1) atoms to form MgS4 tetrahedra that share corners with two equivalent Dy(1)S6 octahedra, corners with four equivalent Dy(2)S6 octahedra,  an edgeedge with one Dy(2)S6 octahedra, and edges with two equivalent Dy(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 58-67°. There are two inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent S(1), two equivalent S(2), and two equivalent S(3) atoms to form DyS6 octahedra that share corners with four equivalent Dy(2)S6 octahedra, corners with two equivalent Mg(1)S4 tetrahedra, edges with two equivalent Dy(1)S6 octahedra, edges with two equivalent Dy(2)S6 octahedra, and edges with two equivalent Mg(1)S4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Dy site, Dy(2) is bonded to one S(2), one S(3), and four equivalent S(1) atoms to form DyS6 octahedra that share corners with four equivalent Dy(1)S6 octahedra, corners with four equivalent Dy(2)S6 octahedra, corners with four equivalent Mg(1)S4 tetrahedra, edges with two equivalent Dy(1)S6 octahedra, and  an edgeedge with one Mg(1)S4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-56°. There are three inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Dy(1), and two equivalent Dy(2) atoms. In the second S site, S(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Dy(2), and two equivalent Dy(1) atoms. In the third S site, S(3) is bonded to one Mg(1), one Dy(2), and two equivalent Dy(1) atoms to form distorted corner-sharing SDy3Mg tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Dy2MgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   13.429
_cell_length_b   7.867
_cell_length_c   6.505
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   687.257
_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
  Dy  Dy0  1  0.000  1.000  0.500  1.0
  Dy  Dy1  1  0.500  1.000  0.000  1.0
  Dy  Dy2  1  0.500  0.500  1.000  1.0
  Dy  Dy3  1  1.000  0.500  0.500  1.0
  Dy  Dy4  1  0.231  0.750  0.991  1.0
  Dy  Dy5  1  0.769  0.250  0.009  1.0
  Dy  Dy6  1  0.269  0.250  0.491  1.0
  Dy  Dy7  1  0.731  0.750  0.509  1.0
  Mg  Mg8  1  0.097  0.250  0.919  1.0
  Mg  Mg9  1  0.903  0.750  0.081  1.0
  Mg  Mg10  1  0.403  0.750  0.419  1.0
  Mg  Mg11  1  0.597  0.250  0.581  1.0
  S  S12  1  0.171  0.009  0.735  1.0
  S  S13  1  0.829  0.991  0.265  1.0
  S  S14  1  0.329  0.991  0.235  1.0
  S  S15  1  0.671  0.009  0.765  1.0
  S  S16  1  0.671  0.491  0.765  1.0
  S  S17  1  0.329  0.509  0.235  1.0
  S  S18  1  0.829  0.509  0.265  1.0
  S  S19  1  0.171  0.491  0.735  1.0
  S  S20  1  0.070  0.750  0.244  1.0
  S  S21  1  0.930  0.250  0.756  1.0
  S  S22  1  0.430  0.250  0.744  1.0
  S  S23  1  0.570  0.750  0.256  1.0
  S  S24  1  0.090  0.250  0.285  1.0
  S  S25  1  0.910  0.750  0.715  1.0
  S  S26  1  0.410  0.750  0.785  1.0
  S  S27  1  0.590  0.250  0.215  1.0
[/CIF]
.
The structure described by MgDy2S4 is Spinel-like structured and crystallizes in the orthorhombic Pnma space group. Mg(1) is bonded to one S(2), one S(3), and two equivalent S(1) atoms to form MgS4 tetrahedra that share corners with two equivalent Dy(1)S6 octahedra, corners with four equivalent Dy(2)S6 octahedra,  an edgeedge with one Dy(2)S6 octahedra, and edges with two equivalent Dy(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 58-67°. There are two inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent S(1), two equivalent S(2), and two equivalent S(3) atoms to form DyS6 octahedra that share corners with four equivalent Dy(2)S6 octahedra, corners with two equivalent Mg(1)S4 tetrahedra, edges with two equivalent Dy(1)S6 octahedra, edges with two equivalent Dy(2)S6 octahedra, and edges with two equivalent Mg(1)S4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-56°. In the second Dy site, Dy(2) is bonded to one S(2), one S(3), and four equivalent S(1) atoms to form DyS6 octahedra that share corners with four equivalent Dy(1)S6 octahedra, corners with four equivalent Dy(2)S6 octahedra, corners with four equivalent Mg(1)S4 tetrahedra, edges with two equivalent Dy(1)S6 octahedra, and  an edgeedge with one Mg(1)S4 tetrahedra. The corner-sharing octahedral tilt angles range from 45-56°. There are three inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Dy(1), and two equivalent Dy(2) atoms. In the second S site, S(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Dy(2), and two equivalent Dy(1) atoms. In the third S site, S(3) is bonded to one Mg(1), one Dy(2), and two equivalent Dy(1) atoms to form distorted corner-sharing SDy3Mg tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Dy2MgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   13.429
_cell_length_b   7.867
_cell_length_c   6.505
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   687.257
_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
  Dy  Dy0  1  0.000  1.000  0.500  1.0
  Dy  Dy1  1  0.500  1.000  0.000  1.0
  Dy  Dy2  1  0.500  0.500  1.000  1.0
  Dy  Dy3  1  1.000  0.500  0.500  1.0
  Dy  Dy4  1  0.231  0.750  0.991  1.0
  Dy  Dy5  1  0.769  0.250  0.009  1.0
  Dy  Dy6  1  0.269  0.250  0.491  1.0
  Dy  Dy7  1  0.731  0.750  0.509  1.0
  Mg  Mg8  1  0.097  0.250  0.919  1.0
  Mg  Mg9  1  0.903  0.750  0.081  1.0
  Mg  Mg10  1  0.403  0.750  0.419  1.0
  Mg  Mg11  1  0.597  0.250  0.581  1.0
  S  S12  1  0.171  0.009  0.735  1.0
  S  S13  1  0.829  0.991  0.265  1.0
  S  S14  1  0.329  0.991  0.235  1.0
  S  S15  1  0.671  0.009  0.765  1.0
  S  S16  1  0.671  0.491  0.765  1.0
  S  S17  1  0.329  0.509  0.235  1.0
  S  S18  1  0.829  0.509  0.265  1.0
  S  S19  1  0.171  0.491  0.735  1.0
  S  S20  1  0.070  0.750  0.244  1.0
  S  S21  1  0.930  0.250  0.756  1.0
  S  S22  1  0.430  0.250  0.744  1.0
  S  S23  1  0.570  0.750  0.256  1.0
  S  S24  1  0.090  0.250  0.285  1.0
  S  S25  1  0.910  0.750  0.715  1.0
  S  S26  1  0.410  0.750  0.785  1.0
  S  S27  1  0.590  0.250  0.215  1.0
[/CIF]
.