The crystal structure described by MgDy5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a 10-coordinate geometry to two equivalent Dy(3), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(2) atoms. There are five inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), two equivalent Dy(5), and four equivalent Dy(4) atoms to form DyDy12 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(5)Dy10Mg2 cuboctahedra. In the second Dy site, Dy(2) is bonded to four equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and two equivalent Dy(4) atoms to form DyDy8Mg4 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with four equivalent Dy(2)Dy8Mg4 cuboctahedra, and faces with six equivalent Dy(4)Dy10Mg2 cuboctahedra. In the third Dy site, Dy(3) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and four equivalent Dy(5) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, and faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra. In the fourth Dy site, Dy(4) is bonded to two equivalent Mg(1), two equivalent Dy(2), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(1) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(2)Dy8Mg4 cuboctahedra. In the fifth Dy site, Dy(5) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(3) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(4)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra, and faces with six equivalent Dy(1)Dy12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Dy5Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.340
_cell_length_b   9.340
_cell_length_c   5.592
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.940
_symmetry_Int_Tables_number   1
_cell_volume   183.224
_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
  Dy  Dy0  1  0.001  0.999  0.500  1.0
  Dy  Dy1  1  0.671  0.329  0.500  1.0
  Dy  Dy2  1  0.333  0.667  0.500  1.0
  Dy  Dy3  1  0.554  0.446  0.000  1.0
  Dy  Dy4  1  0.886  0.114  0.000  1.0
  Mg  Mg5  1  0.222  0.778  0.000  1.0
[/CIF]
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The crystal structure described by MgDy5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a 10-coordinate geometry to two equivalent Dy(3), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(2) atoms. There are five inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), two equivalent Dy(5), and four equivalent Dy(4) atoms to form DyDy12 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(5)Dy10Mg2 cuboctahedra. In the second Dy site, Dy(2) is bonded to four equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and two equivalent Dy(4) atoms to form DyDy8Mg4 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with four equivalent Dy(2)Dy8Mg4 cuboctahedra, and faces with six equivalent Dy(4)Dy10Mg2 cuboctahedra. In the third Dy site, Dy(3) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(2), two equivalent Dy(3), and four equivalent Dy(5) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(3)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(1)Dy12 cuboctahedra, corners with six equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with three equivalent Dy(1)Dy12 cuboctahedra, edges with three equivalent Dy(2)Dy8Mg4 cuboctahedra, edges with four equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(1)Dy12 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, and faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra. In the fourth Dy site, Dy(4) is bonded to two equivalent Mg(1), two equivalent Dy(2), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(1) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(1)Dy12 cuboctahedra, edges with eight equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(5)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(1)Dy12 cuboctahedra, and faces with six equivalent Dy(2)Dy8Mg4 cuboctahedra. In the fifth Dy site, Dy(5) is bonded to two equivalent Mg(1), two equivalent Dy(1), two equivalent Dy(4), two equivalent Dy(5), and four equivalent Dy(3) atoms to form DyDy10Mg2 cuboctahedra that share corners with six equivalent Dy(4)Dy10Mg2 cuboctahedra, corners with six equivalent Dy(5)Dy10Mg2 cuboctahedra, edges with three equivalent Dy(4)Dy10Mg2 cuboctahedra, edges with four equivalent Dy(3)Dy10Mg2 cuboctahedra, edges with eight equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with two equivalent Dy(4)Dy10Mg2 cuboctahedra, faces with two equivalent Dy(2)Dy8Mg4 cuboctahedra, faces with four equivalent Dy(3)Dy10Mg2 cuboctahedra, faces with four equivalent Dy(5)Dy10Mg2 cuboctahedra, and faces with six equivalent Dy(1)Dy12 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Dy5Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.340
_cell_length_b   9.340
_cell_length_c   5.592
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   157.940
_symmetry_Int_Tables_number   1
_cell_volume   183.224
_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
  Dy  Dy0  1  0.001  0.999  0.500  1.0
  Dy  Dy1  1  0.671  0.329  0.500  1.0
  Dy  Dy2  1  0.333  0.667  0.500  1.0
  Dy  Dy3  1  0.554  0.446  0.000  1.0
  Dy  Dy4  1  0.886  0.114  0.000  1.0
  Mg  Mg5  1  0.222  0.778  0.000  1.0
[/CIF]
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