The material described by Mg6WCd crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent W(1) atoms. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10W2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10W2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent W(1)Mg10Cd2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra. In the seventh Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. W(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form WMg10Cd2 cuboctahedra that share corners with six equivalent W(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3); and two equivalent W(1) atoms to form CdMg10W2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10W2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent W(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg6CdW
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.948
_cell_length_b   6.157
_cell_length_c   6.157
_cell_angle_alpha   119.827
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   162.723
_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
  Cd  Cd0  1  0.500  0.326  0.674  1.0
  Mg  Mg1  1  0.000  0.666  0.831  1.0
  Mg  Mg2  1  0.000  0.169  0.334  1.0
  Mg  Mg3  1  0.000  0.666  0.334  1.0
  Mg  Mg4  1  0.500  0.853  0.676  1.0
  Mg  Mg5  1  0.500  0.324  0.147  1.0
  Mg  Mg6  1  0.500  0.833  0.167  1.0
  W  W7  1  0.000  0.162  0.838  1.0
[/CIF]
.
The material described by Mg6WCd crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a distorted linear geometry to two equivalent Mg(4); four Mg(1,1); four Mg(3,3); and two equivalent W(1) atoms. In the third Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. In the fourth Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. In the fifth Mg site, Mg(4) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3,3); and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)Mg10W2 cuboctahedra; corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with two equivalent Cd(1)Mg10W2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent W(1)Mg10Cd2 cuboctahedra. In the sixth Mg site, Mg(1) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms to form distorted MgMg8Cd2W2 cuboctahedra that share corners with four equivalent W(1)Mg10Cd2 cuboctahedra; corners with ten Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with two equivalent Mg(1)Mg8Cd2W2 cuboctahedra; edges with two equivalent W(1)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra. In the seventh Mg site, Mg(3) is bonded in a 12-coordinate geometry to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent W(1), and two equivalent Cd(1) atoms. W(1) is bonded to two equivalent Mg(2); four Mg(1,1); four Mg(3,3); and two equivalent Cd(1) atoms to form WMg10Cd2 cuboctahedra that share corners with six equivalent W(1)Mg10Cd2 cuboctahedra; corners with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four Mg(1,1)Mg8Cd2W2 cuboctahedra; edges with four equivalent Cd(1)Mg10W2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; faces with four Mg(1,1)Mg8Cd2W2 cuboctahedra; and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent Mg(4); four equivalent Mg(1); four Mg(3,3,3); and two equivalent W(1) atoms to form CdMg10W2 cuboctahedra that share corners with four equivalent Mg(4)Mg10Cd2 cuboctahedra; corners with six equivalent Cd(1)Mg10W2 cuboctahedra; edges with two equivalent Mg(4)Mg10Cd2 cuboctahedra; edges with four equivalent W(1)Mg10Cd2 cuboctahedra; edges with eight Mg(1,1)Mg8Cd2W2 cuboctahedra; faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra; faces with two equivalent W(1)Mg10Cd2 cuboctahedra; faces with two equivalent Cd(1)Mg10W2 cuboctahedra; and faces with four equivalent Mg(1)Mg8Cd2W2 cuboctahedra. is represented by the CIF card [CIF]
data_Mg6CdW
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.948
_cell_length_b   6.157
_cell_length_c   6.157
_cell_angle_alpha   119.827
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   162.723
_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
  Cd  Cd0  1  0.500  0.326  0.674  1.0
  Mg  Mg1  1  0.000  0.666  0.831  1.0
  Mg  Mg2  1  0.000  0.169  0.334  1.0
  Mg  Mg3  1  0.000  0.666  0.334  1.0
  Mg  Mg4  1  0.500  0.853  0.676  1.0
  Mg  Mg5  1  0.500  0.324  0.147  1.0
  Mg  Mg6  1  0.500  0.833  0.167  1.0
  W  W7  1  0.000  0.162  0.838  1.0
[/CIF]
.