The material structure described by KMg14Cd crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with six equivalent Mg(1)K2Mg10 cuboctahedra; edges with twelve Mg(3,3)KMg10Cd cuboctahedra; faces with two equivalent Cd(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)K2Mg10 cuboctahedra; faces with six Mg(3,3)KMg10Cd cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent K(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Cd(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)K2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10Cd cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)K2Mg10 cuboctahedra; and faces with ten Mg(3,3)KMg10Cd cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Cd2 cuboctahedra; corners with eight equivalent Mg(1)K2Mg10 cuboctahedra; edges with two equivalent Cd(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10Cd cuboctahedra; faces with two equivalent Mg(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with ten Mg(3,3)KMg10Cd cuboctahedra. In the third Mg site, Mg(3) is bonded to one K(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Cd(1) atom to form distorted MgKMg10Cd cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Cd cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)K2Mg10 cuboctahedra; edges with four Mg(3,3)KMg10Cd cuboctahedra; edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)K2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with six Mg(3,3)KMg10Cd cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one K(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Cd(1) atom to form distorted MgKMg10Cd cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Cd cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(3)KMg10Cd cuboctahedra; edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)K2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with six Mg(3,3)KMg10Cd cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)KMg10Cd cuboctahedra; edges with six equivalent Mg(1)K2Mg10 cuboctahedra; edges with six Mg(3,3)KMg10Cd cuboctahedra; edges with six equivalent Mg(2)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)K2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg10Cd2 cuboctahedra; faces with three equivalent Cd(1)Mg12 cuboctahedra; and faces with six Mg(3,3)KMg10Cd cuboctahedra. Cd(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form CdMg12 cuboctahedra that share corners with six equivalent Cd(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)K2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with twelve Mg(3,3)KMg10Cd cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six Mg(3,3)KMg10Cd cuboctahedra; faces with six equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_KMg14Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.532
_cell_length_b   6.532
_cell_length_c   10.567
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   390.437
_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
  K  K0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.174  0.837  0.125  1.0
  Mg  Mg2  1  0.164  0.832  0.625  1.0
  Mg  Mg3  1  0.663  0.326  0.125  1.0
  Mg  Mg4  1  0.668  0.336  0.625  1.0
  Mg  Mg5  1  0.663  0.837  0.125  1.0
  Mg  Mg6  1  0.668  0.832  0.625  1.0
  Mg  Mg7  1  0.337  0.163  0.388  1.0
  Mg  Mg8  1  0.337  0.163  0.862  1.0
  Mg  Mg9  1  0.337  0.675  0.388  1.0
  Mg  Mg10  1  0.337  0.675  0.862  1.0
  Mg  Mg11  1  0.825  0.163  0.388  1.0
  Mg  Mg12  1  0.825  0.163  0.862  1.0
  Mg  Mg13  1  0.833  0.667  0.370  1.0
  Mg  Mg14  1  0.833  0.667  0.880  1.0
  Cd  Cd15  1  0.167  0.333  0.625  1.0
[/CIF]
.
The material structure described by KMg14Cd crystallizes in the hexagonal P-6m2 space group. K(1) is bonded to six equivalent Mg(1) and six Mg(3,3) atoms to form KMg12 cuboctahedra that share corners with six equivalent K(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with six equivalent Mg(1)K2Mg10 cuboctahedra; edges with twelve Mg(3,3)KMg10Cd cuboctahedra; faces with two equivalent Cd(1)Mg12 cuboctahedra; faces with six equivalent Mg(1)K2Mg10 cuboctahedra; faces with six Mg(3,3)KMg10Cd cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent K(1), two equivalent Mg(4), four equivalent Mg(1), and four equivalent Mg(3) atoms to form distorted MgK2Mg10 cuboctahedra that share corners with four equivalent Cd(1)Mg12 cuboctahedra; corners with six equivalent Mg(1)K2Mg10 cuboctahedra; corners with eight equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10Cd cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with two equivalent Mg(2)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with four equivalent Mg(1)K2Mg10 cuboctahedra; and faces with ten Mg(3,3)KMg10Cd cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(4), four equivalent Mg(2), four equivalent Mg(3), and two equivalent Cd(1) atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with four equivalent K(1)Mg12 cuboctahedra; corners with six equivalent Mg(2)Mg10Cd2 cuboctahedra; corners with eight equivalent Mg(1)K2Mg10 cuboctahedra; edges with two equivalent Cd(1)Mg12 cuboctahedra; edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with four equivalent Mg(4)Mg12 cuboctahedra; edges with eight equivalent Mg(3)KMg10Cd cuboctahedra; faces with two equivalent Mg(1)K2Mg10 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with two equivalent Cd(1)Mg12 cuboctahedra; faces with four equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with ten Mg(3,3)KMg10Cd cuboctahedra. In the third Mg site, Mg(3) is bonded to one K(1); two equivalent Mg(1); two equivalent Mg(2); two equivalent Mg(4); four Mg(3,3); and one Cd(1) atom to form distorted MgKMg10Cd cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Cd cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)K2Mg10 cuboctahedra; edges with four Mg(3,3)KMg10Cd cuboctahedra; edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)K2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with six Mg(3,3)KMg10Cd cuboctahedra. In the fourth Mg site, Mg(3) is bonded to one K(1), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), four equivalent Mg(3), and one Cd(1) atom to form distorted MgKMg10Cd cuboctahedra that share corners with four equivalent Mg(4)Mg12 cuboctahedra; corners with fourteen Mg(3,3)KMg10Cd cuboctahedra; edges with two equivalent K(1)Mg12 cuboctahedra; edges with two equivalent Mg(4)Mg12 cuboctahedra; edges with two equivalent Cd(1)Mg12 cuboctahedra; edges with four equivalent Mg(1)K2Mg10 cuboctahedra; edges with four equivalent Mg(3)KMg10Cd cuboctahedra; edges with four equivalent Mg(2)Mg10Cd2 cuboctahedra;  a faceface with one K(1)Mg12 cuboctahedra;  a faceface with one Cd(1)Mg12 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with five equivalent Mg(1)K2Mg10 cuboctahedra; faces with five equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with six Mg(3,3)KMg10Cd cuboctahedra. In the fifth Mg site, Mg(4) is bonded to three equivalent Mg(1); three equivalent Mg(2); and six Mg(3,3) atoms to form MgMg12 cuboctahedra that share corners with six equivalent Mg(4)Mg12 cuboctahedra; corners with twelve Mg(3,3)KMg10Cd cuboctahedra; edges with six equivalent Mg(1)K2Mg10 cuboctahedra; edges with six Mg(3,3)KMg10Cd cuboctahedra; edges with six equivalent Mg(2)Mg10Cd2 cuboctahedra; faces with two equivalent Mg(4)Mg12 cuboctahedra; faces with three equivalent K(1)Mg12 cuboctahedra; faces with three equivalent Mg(1)K2Mg10 cuboctahedra; faces with three equivalent Mg(2)Mg10Cd2 cuboctahedra; faces with three equivalent Cd(1)Mg12 cuboctahedra; and faces with six Mg(3,3)KMg10Cd cuboctahedra. Cd(1) is bonded to six equivalent Mg(2) and six Mg(3,3) atoms to form CdMg12 cuboctahedra that share corners with six equivalent Cd(1)Mg12 cuboctahedra; corners with twelve equivalent Mg(1)K2Mg10 cuboctahedra; edges with six equivalent Mg(2)Mg10Cd2 cuboctahedra; edges with twelve Mg(3,3)KMg10Cd cuboctahedra; faces with two equivalent K(1)Mg12 cuboctahedra; faces with six Mg(3,3)KMg10Cd cuboctahedra; faces with six equivalent Mg(2)Mg10Cd2 cuboctahedra; and faces with six equivalent Mg(4)Mg12 cuboctahedra. is represented by the CIF file [CIF]
data_KMg14Cd
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.532
_cell_length_b   6.532
_cell_length_c   10.567
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   390.437
_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
  K  K0  1  0.167  0.333  0.125  1.0
  Mg  Mg1  1  0.174  0.837  0.125  1.0
  Mg  Mg2  1  0.164  0.832  0.625  1.0
  Mg  Mg3  1  0.663  0.326  0.125  1.0
  Mg  Mg4  1  0.668  0.336  0.625  1.0
  Mg  Mg5  1  0.663  0.837  0.125  1.0
  Mg  Mg6  1  0.668  0.832  0.625  1.0
  Mg  Mg7  1  0.337  0.163  0.388  1.0
  Mg  Mg8  1  0.337  0.163  0.862  1.0
  Mg  Mg9  1  0.337  0.675  0.388  1.0
  Mg  Mg10  1  0.337  0.675  0.862  1.0
  Mg  Mg11  1  0.825  0.163  0.388  1.0
  Mg  Mg12  1  0.825  0.163  0.862  1.0
  Mg  Mg13  1  0.833  0.667  0.370  1.0
  Mg  Mg14  1  0.833  0.667  0.880  1.0
  Cd  Cd15  1  0.167  0.333  0.625  1.0
[/CIF]
.