The compound described by K14(Cd3Tl7)3 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the hexagonal P-62m space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 11-coordinate geometry to two equivalent Cd(1), two equivalent Cd(2), one Tl(4), one Tl(5), two equivalent Tl(1), and three equivalent Tl(2) atoms. In the second K site, K(2) is bonded in a 8-coordinate geometry to one Tl(2), one Tl(3), one Tl(4), two equivalent Tl(1), and three equivalent Tl(5) atoms. In the third K site, K(3) is bonded in a 9-coordinate geometry to three equivalent Tl(3) and six equivalent Tl(5) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 10-coordinate geometry to four equivalent K(1), two equivalent Cd(1), two equivalent Cd(2), and two equivalent Tl(2) atoms. In the second Cd site, Cd(2) is bonded to two equivalent K(1), one Cd(1), three equivalent Cd(2), two equivalent Tl(1), and four equivalent Tl(2) atoms to form CdK2Tl6Cd4 cuboctahedra that share corners with two equivalent Cd(2)K2Tl6Cd4 cuboctahedra, corners with two equivalent Tl(4)K6Tl6 cuboctahedra, and faces with six equivalent Cd(2)K2Tl6Cd4 cuboctahedra. There are five inequivalent Tl sites. In the first Tl site, Tl(1) is bonded in a distorted q6 geometry to three equivalent K(1), three equivalent K(2), three equivalent Cd(2), and three equivalent Tl(2) atoms. In the second Tl site, Tl(2) is bonded in a 11-coordinate geometry to one K(2), three equivalent K(1), one Cd(1), four equivalent Cd(2), and two equivalent Tl(1) atoms. In the third Tl site, Tl(3) is bonded in a 10-coordinate geometry to two equivalent K(2), two equivalent K(3), two equivalent Tl(4), and four equivalent Tl(5) atoms. In the fourth Tl site, Tl(4) is bonded to three equivalent K(1), three equivalent K(2), three equivalent Tl(3), and three equivalent Tl(5) atoms to form distorted TlK6Tl6 cuboctahedra that share corners with six equivalent Cd(2)K2Tl6Cd4 cuboctahedra and  a faceface with one Tl(4)K6Tl6 cuboctahedra. In the fifth Tl site, Tl(5) is bonded in a 10-coordinate geometry to one K(1), two equivalent K(3), three equivalent K(2), one Tl(4), one Tl(5), and two equivalent Tl(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K14(Tl7Cd3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.217
_cell_length_b   10.217
_cell_length_c   17.577
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   1588.854
_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  0.749  0.000  0.178  1.0
  K  K1  1  0.000  0.388  0.684  1.0
  K  K2  1  0.251  0.251  0.822  1.0
  K  K3  1  0.612  0.612  0.316  1.0
  K  K4  1  0.388  0.000  0.684  1.0
  K  K5  1  0.612  0.612  0.684  1.0
  K  K6  1  0.749  0.000  0.822  1.0
  K  K7  1  0.388  0.000  0.316  1.0
  K  K8  1  0.000  0.749  0.178  1.0
  K  K9  1  0.000  0.388  0.316  1.0
  K  K10  1  0.333  0.667  0.500  1.0
  K  K11  1  0.000  0.749  0.822  1.0
  K  K12  1  0.667  0.333  0.500  1.0
  K  K13  1  0.251  0.251  0.178  1.0
  Tl  Tl14  1  0.333  0.667  0.836  1.0
  Tl  Tl15  1  0.599  0.599  0.109  1.0
  Tl  Tl16  1  0.000  0.401  0.891  1.0
  Tl  Tl17  1  0.779  0.779  0.500  1.0
  Tl  Tl18  1  0.000  0.000  0.653  1.0
  Tl  Tl19  1  0.295  0.295  0.406  1.0
  Tl  Tl20  1  0.295  0.295  0.594  1.0
  Tl  Tl21  1  0.221  0.000  0.500  1.0
  Tl  Tl22  1  0.705  0.000  0.594  1.0
  Tl  Tl23  1  0.000  0.221  0.500  1.0
  Tl  Tl24  1  0.333  0.667  0.164  1.0
  Tl  Tl25  1  0.000  0.401  0.109  1.0
  Tl  Tl26  1  0.401  0.000  0.891  1.0
  Tl  Tl27  1  0.000  0.705  0.406  1.0
  Tl  Tl28  1  0.000  0.000  0.347  1.0
  Tl  Tl29  1  0.599  0.599  0.891  1.0
  Tl  Tl30  1  0.705  0.000  0.406  1.0
  Tl  Tl31  1  0.667  0.333  0.164  1.0
  Tl  Tl32  1  0.401  0.000  0.109  1.0
  Tl  Tl33  1  0.667  0.333  0.836  1.0
  Tl  Tl34  1  0.000  0.705  0.594  1.0
  Cd  Cd35  1  0.165  0.000  0.000  1.0
  Cd  Cd36  1  0.299  0.472  0.000  1.0
  Cd  Cd37  1  0.000  0.165  0.000  1.0
  Cd  Cd38  1  0.701  0.172  0.000  1.0
  Cd  Cd39  1  0.835  0.835  0.000  1.0
  Cd  Cd40  1  0.828  0.528  0.000  1.0
  Cd  Cd41  1  0.472  0.299  0.000  1.0
  Cd  Cd42  1  0.528  0.828  0.000  1.0
  Cd  Cd43  1  0.172  0.701  0.000  1.0
[/CIF]
.
The compound described by K14(Cd3Tl7)3 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the hexagonal P-62m space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 11-coordinate geometry to two equivalent Cd(1), two equivalent Cd(2), one Tl(4), one Tl(5), two equivalent Tl(1), and three equivalent Tl(2) atoms. In the second K site, K(2) is bonded in a 8-coordinate geometry to one Tl(2), one Tl(3), one Tl(4), two equivalent Tl(1), and three equivalent Tl(5) atoms. In the third K site, K(3) is bonded in a 9-coordinate geometry to three equivalent Tl(3) and six equivalent Tl(5) atoms. There are two inequivalent Cd sites. In the first Cd site, Cd(1) is bonded in a 10-coordinate geometry to four equivalent K(1), two equivalent Cd(1), two equivalent Cd(2), and two equivalent Tl(2) atoms. In the second Cd site, Cd(2) is bonded to two equivalent K(1), one Cd(1), three equivalent Cd(2), two equivalent Tl(1), and four equivalent Tl(2) atoms to form CdK2Tl6Cd4 cuboctahedra that share corners with two equivalent Cd(2)K2Tl6Cd4 cuboctahedra, corners with two equivalent Tl(4)K6Tl6 cuboctahedra, and faces with six equivalent Cd(2)K2Tl6Cd4 cuboctahedra. There are five inequivalent Tl sites. In the first Tl site, Tl(1) is bonded in a distorted q6 geometry to three equivalent K(1), three equivalent K(2), three equivalent Cd(2), and three equivalent Tl(2) atoms. In the second Tl site, Tl(2) is bonded in a 11-coordinate geometry to one K(2), three equivalent K(1), one Cd(1), four equivalent Cd(2), and two equivalent Tl(1) atoms. In the third Tl site, Tl(3) is bonded in a 10-coordinate geometry to two equivalent K(2), two equivalent K(3), two equivalent Tl(4), and four equivalent Tl(5) atoms. In the fourth Tl site, Tl(4) is bonded to three equivalent K(1), three equivalent K(2), three equivalent Tl(3), and three equivalent Tl(5) atoms to form distorted TlK6Tl6 cuboctahedra that share corners with six equivalent Cd(2)K2Tl6Cd4 cuboctahedra and  a faceface with one Tl(4)K6Tl6 cuboctahedra. In the fifth Tl site, Tl(5) is bonded in a 10-coordinate geometry to one K(1), two equivalent K(3), three equivalent K(2), one Tl(4), one Tl(5), and two equivalent Tl(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_K14(Tl7Cd3)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.217
_cell_length_b   10.217
_cell_length_c   17.577
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   1588.854
_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  0.749  0.000  0.178  1.0
  K  K1  1  0.000  0.388  0.684  1.0
  K  K2  1  0.251  0.251  0.822  1.0
  K  K3  1  0.612  0.612  0.316  1.0
  K  K4  1  0.388  0.000  0.684  1.0
  K  K5  1  0.612  0.612  0.684  1.0
  K  K6  1  0.749  0.000  0.822  1.0
  K  K7  1  0.388  0.000  0.316  1.0
  K  K8  1  0.000  0.749  0.178  1.0
  K  K9  1  0.000  0.388  0.316  1.0
  K  K10  1  0.333  0.667  0.500  1.0
  K  K11  1  0.000  0.749  0.822  1.0
  K  K12  1  0.667  0.333  0.500  1.0
  K  K13  1  0.251  0.251  0.178  1.0
  Tl  Tl14  1  0.333  0.667  0.836  1.0
  Tl  Tl15  1  0.599  0.599  0.109  1.0
  Tl  Tl16  1  0.000  0.401  0.891  1.0
  Tl  Tl17  1  0.779  0.779  0.500  1.0
  Tl  Tl18  1  0.000  0.000  0.653  1.0
  Tl  Tl19  1  0.295  0.295  0.406  1.0
  Tl  Tl20  1  0.295  0.295  0.594  1.0
  Tl  Tl21  1  0.221  0.000  0.500  1.0
  Tl  Tl22  1  0.705  0.000  0.594  1.0
  Tl  Tl23  1  0.000  0.221  0.500  1.0
  Tl  Tl24  1  0.333  0.667  0.164  1.0
  Tl  Tl25  1  0.000  0.401  0.109  1.0
  Tl  Tl26  1  0.401  0.000  0.891  1.0
  Tl  Tl27  1  0.000  0.705  0.406  1.0
  Tl  Tl28  1  0.000  0.000  0.347  1.0
  Tl  Tl29  1  0.599  0.599  0.891  1.0
  Tl  Tl30  1  0.705  0.000  0.406  1.0
  Tl  Tl31  1  0.667  0.333  0.164  1.0
  Tl  Tl32  1  0.401  0.000  0.109  1.0
  Tl  Tl33  1  0.667  0.333  0.836  1.0
  Tl  Tl34  1  0.000  0.705  0.594  1.0
  Cd  Cd35  1  0.165  0.000  0.000  1.0
  Cd  Cd36  1  0.299  0.472  0.000  1.0
  Cd  Cd37  1  0.000  0.165  0.000  1.0
  Cd  Cd38  1  0.701  0.172  0.000  1.0
  Cd  Cd39  1  0.835  0.835  0.000  1.0
  Cd  Cd40  1  0.828  0.528  0.000  1.0
  Cd  Cd41  1  0.472  0.299  0.000  1.0
  Cd  Cd42  1  0.528  0.828  0.000  1.0
  Cd  Cd43  1  0.172  0.701  0.000  1.0
[/CIF]
.