The material structure described by MgDy5 crystallizes in the trigonal R32 space group. Mg(1) is bonded to six Dy(1,1,1,1,1,1) and six equivalent Dy(2) atoms to form MgDy12 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Mg(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra; faces with eight Dy(2,2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra. There are nine inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. In the second Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. In the third Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. In the fourth Dy site, Dy(2) is bonded to three equivalent Mg(1); three equivalent Dy(2); and six Dy(1,1,1,1,1) atoms to form DyDy9Mg3 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Dy(2)Dy9Mg3 cuboctahedra; edges with twelve Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with four equivalent Dy(2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra. In the fifth Dy site, Dy(2) is bonded to three equivalent Mg(1); three equivalent Dy(2); and six Dy(1,1,1,1,1,1) atoms to form DyDy9Mg3 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Dy(2)Dy9Mg3 cuboctahedra; edges with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with four Dy(2,2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra. In the sixth Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2,2)Dy9Mg3 cuboctahedra. In the seventh Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2,2); and six equivalent Dy(1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2,2)Dy9Mg3 cuboctahedra. In the eighth Dy site, Dy(2) is bonded to three equivalent Mg(1); three equivalent Dy(2); and six Dy(1,1,1) atoms to form DyDy9Mg3 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Dy(2)Dy9Mg3 cuboctahedra; edges with twelve Dy(1,1,1)Dy10Mg2 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with four equivalent Dy(2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1)Dy10Mg2 cuboctahedra. In the ninth Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. is represented by the CIF card [CIF]
data_Dy5Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.583
_cell_length_b   6.583
_cell_length_c   6.583
_cell_angle_alpha   55.499
_cell_angle_beta   55.499
_cell_angle_gamma   55.499
_symmetry_Int_Tables_number   1
_cell_volume   180.672
_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  0.500  0.160  0.840  1.0
  Dy  Dy1  1  0.160  0.840  0.500  1.0
  Dy  Dy2  1  0.840  0.500  0.160  1.0
  Dy  Dy3  1  0.332  0.332  0.332  1.0
  Dy  Dy4  1  0.668  0.668  0.668  1.0
  Mg  Mg5  1  0.000  0.000  0.000  1.0
[/CIF]
.
The material structure described by MgDy5 crystallizes in the trigonal R32 space group. Mg(1) is bonded to six Dy(1,1,1,1,1,1) and six equivalent Dy(2) atoms to form MgDy12 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Mg(1)Dy12 cuboctahedra; edges with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra; faces with eight Dy(2,2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra. There are nine inequivalent Dy sites. In the first Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. In the second Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. In the third Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. In the fourth Dy site, Dy(2) is bonded to three equivalent Mg(1); three equivalent Dy(2); and six Dy(1,1,1,1,1) atoms to form DyDy9Mg3 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Dy(2)Dy9Mg3 cuboctahedra; edges with twelve Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with four equivalent Dy(2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra. In the fifth Dy site, Dy(2) is bonded to three equivalent Mg(1); three equivalent Dy(2); and six Dy(1,1,1,1,1,1) atoms to form DyDy9Mg3 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Dy(2)Dy9Mg3 cuboctahedra; edges with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with four Dy(2,2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1,1,1,1)Dy10Mg2 cuboctahedra. In the sixth Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2,2)Dy9Mg3 cuboctahedra. In the seventh Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2,2); and six equivalent Dy(1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2,2)Dy9Mg3 cuboctahedra. In the eighth Dy site, Dy(2) is bonded to three equivalent Mg(1); three equivalent Dy(2); and six Dy(1,1,1) atoms to form DyDy9Mg3 cuboctahedra that share corners with six equivalent Mg(1)Dy12 cuboctahedra; corners with twelve Dy(2,2)Dy9Mg3 cuboctahedra; edges with six equivalent Dy(2)Dy9Mg3 cuboctahedra; edges with twelve Dy(1,1,1)Dy10Mg2 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with four equivalent Dy(2)Dy9Mg3 cuboctahedra; and faces with twelve Dy(1,1,1)Dy10Mg2 cuboctahedra. In the ninth Dy site, Dy(1) is bonded to two equivalent Mg(1); four Dy(2,2); and six Dy(1,1) atoms to form DyDy10Mg2 cuboctahedra that share corners with eighteen Dy(1,1,1,1)Dy10Mg2 cuboctahedra; edges with four equivalent Mg(1)Dy12 cuboctahedra; edges with six equivalent Dy(1)Dy10Mg2 cuboctahedra; edges with eight Dy(2,2)Dy9Mg3 cuboctahedra; faces with four equivalent Mg(1)Dy12 cuboctahedra; faces with eight Dy(1,1,1)Dy10Mg2 cuboctahedra; and faces with eight Dy(2,2)Dy9Mg3 cuboctahedra. is represented by the CIF card [CIF]
data_Dy5Mg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.583
_cell_length_b   6.583
_cell_length_c   6.583
_cell_angle_alpha   55.499
_cell_angle_beta   55.499
_cell_angle_gamma   55.499
_symmetry_Int_Tables_number   1
_cell_volume   180.672
_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  0.500  0.160  0.840  1.0
  Dy  Dy1  1  0.160  0.840  0.500  1.0
  Dy  Dy2  1  0.840  0.500  0.160  1.0
  Dy  Dy3  1  0.332  0.332  0.332  1.0
  Dy  Dy4  1  0.668  0.668  0.668  1.0
  Mg  Mg5  1  0.000  0.000  0.000  1.0
[/CIF]
.