The crystal structure described by KMg6Cd crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form KMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)K2Mg10 cuboctahedra, corners with six equivalent K(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent K(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgK2Mg8Cd2 cuboctahedra that share corners with four equivalent K(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)K2Mg10 cuboctahedra, corners with ten equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 4-coordinate geometry to two equivalent K(1), two equivalent Mg(1), two equivalent Mg(4), and two equivalent Cd(1) atoms. In the third Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent K(1), two equivalent Mg(4), and four equivalent Mg(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Cd(1)K2Mg10 cuboctahedra, edges with eight equivalent Mg(1)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, and faces with six equivalent K(1)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent K(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form CdK2Mg10 cuboctahedra that share corners with four equivalent K(1)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra. is represented by the CIF card [CIF]
data_KMg6Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.367
_cell_length_b   6.666
_cell_length_c   6.732
_cell_angle_alpha   119.677
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   209.260
_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  0.664  0.328  1.0
  K  K1  1  0.500  0.167  0.334  1.0
  Mg  Mg2  1  0.500  0.664  0.834  1.0
  Mg  Mg3  1  0.500  0.171  0.834  1.0
  Mg  Mg4  1  0.000  0.820  0.161  1.0
  Mg  Mg5  1  0.000  0.341  0.161  1.0
  Mg  Mg6  1  0.000  0.340  0.681  1.0
  Mg  Mg7  1  0.000  0.833  0.666  1.0
[/CIF]
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The crystal structure described by KMg6Cd crystallizes in the orthorhombic Amm2 space group. K(1) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form KMg10Cd2 cuboctahedra that share corners with four equivalent Cd(1)K2Mg10 cuboctahedra, corners with six equivalent K(1)Mg10Cd2 cuboctahedra, corners with eight equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, and faces with six equivalent Mg(4)Mg10Cd2 cuboctahedra. There are four inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent K(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), and two equivalent Cd(1) atoms to form distorted MgK2Mg8Cd2 cuboctahedra that share corners with four equivalent K(1)Mg10Cd2 cuboctahedra, corners with four equivalent Cd(1)K2Mg10 cuboctahedra, corners with ten equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with two equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent Cd(1)K2Mg10 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra. In the second Mg site, Mg(2) is bonded in a 4-coordinate geometry to two equivalent K(1), two equivalent Mg(1), two equivalent Mg(4), and two equivalent Cd(1) atoms. In the third Mg site, Mg(3) is bonded in a 2-coordinate geometry to two equivalent K(1), two equivalent Mg(4), and four equivalent Mg(1) atoms. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(3), four equivalent Mg(1), four equivalent Mg(2), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent Mg(4)Mg10Cd2 cuboctahedra, edges with four equivalent Cd(1)K2Mg10 cuboctahedra, edges with eight equivalent Mg(1)K2Mg8Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, and faces with six equivalent K(1)Mg10Cd2 cuboctahedra. Cd(1) is bonded to two equivalent K(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(2) atoms to form CdK2Mg10 cuboctahedra that share corners with four equivalent K(1)Mg10Cd2 cuboctahedra, corners with six equivalent Cd(1)K2Mg10 cuboctahedra, corners with eight equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with two equivalent K(1)Mg10Cd2 cuboctahedra, edges with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra, edges with four equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent K(1)Mg10Cd2 cuboctahedra, faces with two equivalent Mg(4)Mg10Cd2 cuboctahedra, faces with two equivalent Cd(1)K2Mg10 cuboctahedra, and faces with four equivalent Mg(1)K2Mg8Cd2 cuboctahedra. is represented by the CIF card [CIF]
data_KMg6Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.367
_cell_length_b   6.666
_cell_length_c   6.732
_cell_angle_alpha   119.677
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   209.260
_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  0.664  0.328  1.0
  K  K1  1  0.500  0.167  0.334  1.0
  Mg  Mg2  1  0.500  0.664  0.834  1.0
  Mg  Mg3  1  0.500  0.171  0.834  1.0
  Mg  Mg4  1  0.000  0.820  0.161  1.0
  Mg  Mg5  1  0.000  0.341  0.161  1.0
  Mg  Mg6  1  0.000  0.340  0.681  1.0
  Mg  Mg7  1  0.000  0.833  0.666  1.0
[/CIF]
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