The structure described by CdZn3Al8S16 is Spinel-derived structured and crystallizes in the trigonal R3m space group. Cd(1) is bonded to one S(1) and three equivalent S(3) atoms to form CdS4 tetrahedra that share corners with three equivalent Al(1)S6 octahedra, corners with three equivalent Al(4)S6 octahedra, and corners with six equivalent Al(3)S6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one S(2) and three equivalent S(4) atoms to form ZnS4 tetrahedra that share corners with three equivalent Al(2)S6 octahedra, corners with three equivalent Al(3)S6 octahedra, and corners with six equivalent Al(4)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the second Zn site, Zn(2) is bonded to one S(5) and three equivalent S(7) atoms to form ZnS4 tetrahedra that share corners with three equivalent Al(1)S6 octahedra, corners with three equivalent Al(3)S6 octahedra, and corners with six equivalent Al(4)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the third Zn site, Zn(3) is bonded to one S(6) and three equivalent S(8) atoms to form ZnS4 tetrahedra that share corners with three equivalent Al(2)S6 octahedra, corners with three equivalent Al(4)S6 octahedra, and corners with six equivalent Al(3)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to three equivalent S(3) and three equivalent S(7) atoms to form AlS6 octahedra that share corners with three equivalent Cd(1)S4 tetrahedra, corners with three equivalent Zn(2)S4 tetrahedra, edges with three equivalent Al(3)S6 octahedra, and edges with three equivalent Al(4)S6 octahedra. In the second Al site, Al(2) is bonded to three equivalent S(4) and three equivalent S(8) atoms to form AlS6 octahedra that share corners with three equivalent Zn(1)S4 tetrahedra, corners with three equivalent Zn(3)S4 tetrahedra, edges with three equivalent Al(3)S6 octahedra, and edges with three equivalent Al(4)S6 octahedra. In the third Al site, Al(3) is bonded to one S(2), one S(5), two equivalent S(3), and two equivalent S(8) atoms to form AlS6 octahedra that share  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra, corners with two equivalent Cd(1)S4 tetrahedra, corners with two equivalent Zn(3)S4 tetrahedra,  an edgeedge with one Al(1)S6 octahedra,  an edgeedge with one Al(2)S6 octahedra, and edges with four equivalent Al(3)S6 octahedra. In the fourth Al site, Al(4) is bonded to one S(1), one S(6), two equivalent S(4), and two equivalent S(7) atoms to form AlS6 octahedra that share  a cornercorner with one Cd(1)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra, corners with two equivalent Zn(1)S4 tetrahedra, corners with two equivalent Zn(2)S4 tetrahedra,  an edgeedge with one Al(1)S6 octahedra,  an edgeedge with one Al(2)S6 octahedra, and edges with four equivalent Al(4)S6 octahedra. There are eight inequivalent S sites. In the first S site, S(1) is bonded to one Cd(1) and three equivalent Al(4) atoms to form distorted SAl3Cd tetrahedra that share corners with three equivalent S(3)Al3Cd tetrahedra, corners with three equivalent S(6)Al3Zn trigonal pyramids, corners with six equivalent S(7)Al3Zn trigonal pyramids, and edges with three equivalent S(4)Al3Zn trigonal pyramids. In the second S site, S(2) is bonded to one Zn(1) and three equivalent Al(3) atoms to form distorted SAl3Zn trigonal pyramids that share corners with three equivalent S(4)Al3Zn trigonal pyramids, corners with three equivalent S(5)Al3Zn trigonal pyramids, corners with six equivalent S(8)Al3Zn trigonal pyramids, and edges with three equivalent S(3)Al3Cd tetrahedra. In the third S site, S(3) is bonded to one Cd(1), one Al(1), and two equivalent Al(3) atoms to form distorted SAl3Cd tetrahedra that share  a cornercorner with one S(1)Al3Cd tetrahedra, corners with two equivalent S(3)Al3Cd tetrahedra, corners with two equivalent S(5)Al3Zn trigonal pyramids, corners with three equivalent S(7)Al3Zn trigonal pyramids, corners with four equivalent S(8)Al3Zn trigonal pyramids, edges with two equivalent S(3)Al3Cd tetrahedra, and  an edgeedge with one S(2)Al3Zn trigonal pyramid. In the fourth S site, S(4) is bonded to one Zn(1), one Al(2), and two equivalent Al(4) atoms to form distorted SAl3Zn trigonal pyramids that share  a cornercorner with one S(2)Al3Zn trigonal pyramid, corners with two equivalent S(4)Al3Zn trigonal pyramids, corners with two equivalent S(6)Al3Zn trigonal pyramids, corners with three equivalent S(8)Al3Zn trigonal pyramids, corners with four equivalent S(7)Al3Zn trigonal pyramids,  an edgeedge with one S(1)Al3Cd tetrahedra, and edges with two equivalent S(4)Al3Zn trigonal pyramids. In the fifth S site, S(5) is bonded to one Zn(2) and three equivalent Al(3) atoms to form distorted SAl3Zn trigonal pyramids that share corners with six equivalent S(3)Al3Cd tetrahedra, corners with three equivalent S(2)Al3Zn trigonal pyramids, corners with three equivalent S(7)Al3Zn trigonal pyramids, and edges with three equivalent S(8)Al3Zn trigonal pyramids. In the sixth S site, S(6) is bonded to one Zn(3) and three equivalent Al(4) atoms to form distorted SAl3Zn trigonal pyramids that share corners with three equivalent S(1)Al3Cd tetrahedra, corners with three equivalent S(8)Al3Zn trigonal pyramids, corners with six equivalent S(4)Al3Zn trigonal pyramids, and edges with three equivalent S(7)Al3Zn trigonal pyramids. In the seventh S site, S(7) is bonded to one Zn(2), one Al(1), and two equivalent Al(4) atoms to form distorted SAl3Zn trigonal pyramids that share corners with two equivalent S(1)Al3Cd tetrahedra, corners with three equivalent S(3)Al3Cd tetrahedra,  a cornercorner with one S(5)Al3Zn trigonal pyramid, corners with two equivalent S(7)Al3Zn trigonal pyramids, corners with four equivalent S(4)Al3Zn trigonal pyramids,  an edgeedge with one S(6)Al3Zn trigonal pyramid, and edges with two equivalent S(7)Al3Zn trigonal pyramids. In the eighth S site, S(8) is bonded to one Zn(3), one Al(2), and two equivalent Al(3) atoms to form distorted SAl3Zn trigonal pyramids that share corners with four equivalent S(3)Al3Cd tetrahedra,  a cornercorner with one S(6)Al3Zn trigonal pyramid, corners with two equivalent S(2)Al3Zn trigonal pyramids, corners with two equivalent S(8)Al3Zn trigonal pyramids, corners with three equivalent S(4)Al3Zn trigonal pyramids,  an edgeedge with one S(5)Al3Zn trigonal pyramid, and edges with two equivalent S(8)Al3Zn trigonal pyramids. is represented by the CIF card [CIF]
data_Al8Zn3CdS16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.438
_cell_length_b   12.438
_cell_length_c   12.438
_cell_angle_alpha   33.583
_cell_angle_beta   33.583
_cell_angle_gamma   33.583
_symmetry_Int_Tables_number   1
_cell_volume   524.413
_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
  Al  Al0  1  0.250  0.250  0.250  1.0
  Al  Al1  1  0.750  0.750  0.750  1.0
  Al  Al2  1  0.500  0.500  0.001  1.0
  Al  Al3  1  1.000  1.000  0.499  1.0
  Al  Al4  1  0.500  0.001  0.500  1.0
  Al  Al5  1  1.000  0.499  1.000  1.0
  Al  Al6  1  0.001  0.500  0.500  1.0
  Al  Al7  1  0.499  1.000  1.000  1.0
  Zn  Zn8  1  0.437  0.437  0.437  1.0
  Zn  Zn9  1  0.562  0.562  0.562  1.0
  Zn  Zn10  1  0.063  0.063  0.063  1.0
  Cd  Cd11  1  0.938  0.938  0.938  1.0
  S  S12  1  0.867  0.867  0.867  1.0
  S  S13  1  0.371  0.371  0.371  1.0
  S  S14  1  0.147  0.147  0.588  1.0
  S  S15  1  0.639  0.639  0.101  1.0
  S  S16  1  0.147  0.588  0.147  1.0
  S  S17  1  0.639  0.101  0.639  1.0
  S  S18  1  0.588  0.147  0.147  1.0
  S  S19  1  0.101  0.639  0.639  1.0
  S  S20  1  0.630  0.630  0.630  1.0
  S  S21  1  0.130  0.130  0.130  1.0
  S  S22  1  0.360  0.360  0.900  1.0
  S  S23  1  0.860  0.860  0.400  1.0
  S  S24  1  0.360  0.900  0.360  1.0
  S  S25  1  0.860  0.400  0.860  1.0
  S  S26  1  0.900  0.360  0.360  1.0
  S  S27  1  0.400  0.860  0.860  1.0
[/CIF]
.
The structure described by CdZn3Al8S16 is Spinel-derived structured and crystallizes in the trigonal R3m space group. Cd(1) is bonded to one S(1) and three equivalent S(3) atoms to form CdS4 tetrahedra that share corners with three equivalent Al(1)S6 octahedra, corners with three equivalent Al(4)S6 octahedra, and corners with six equivalent Al(3)S6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one S(2) and three equivalent S(4) atoms to form ZnS4 tetrahedra that share corners with three equivalent Al(2)S6 octahedra, corners with three equivalent Al(3)S6 octahedra, and corners with six equivalent Al(4)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the second Zn site, Zn(2) is bonded to one S(5) and three equivalent S(7) atoms to form ZnS4 tetrahedra that share corners with three equivalent Al(1)S6 octahedra, corners with three equivalent Al(3)S6 octahedra, and corners with six equivalent Al(4)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the third Zn site, Zn(3) is bonded to one S(6) and three equivalent S(8) atoms to form ZnS4 tetrahedra that share corners with three equivalent Al(2)S6 octahedra, corners with three equivalent Al(4)S6 octahedra, and corners with six equivalent Al(3)S6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to three equivalent S(3) and three equivalent S(7) atoms to form AlS6 octahedra that share corners with three equivalent Cd(1)S4 tetrahedra, corners with three equivalent Zn(2)S4 tetrahedra, edges with three equivalent Al(3)S6 octahedra, and edges with three equivalent Al(4)S6 octahedra. In the second Al site, Al(2) is bonded to three equivalent S(4) and three equivalent S(8) atoms to form AlS6 octahedra that share corners with three equivalent Zn(1)S4 tetrahedra, corners with three equivalent Zn(3)S4 tetrahedra, edges with three equivalent Al(3)S6 octahedra, and edges with three equivalent Al(4)S6 octahedra. In the third Al site, Al(3) is bonded to one S(2), one S(5), two equivalent S(3), and two equivalent S(8) atoms to form AlS6 octahedra that share  a cornercorner with one Zn(1)S4 tetrahedra,  a cornercorner with one Zn(2)S4 tetrahedra, corners with two equivalent Cd(1)S4 tetrahedra, corners with two equivalent Zn(3)S4 tetrahedra,  an edgeedge with one Al(1)S6 octahedra,  an edgeedge with one Al(2)S6 octahedra, and edges with four equivalent Al(3)S6 octahedra. In the fourth Al site, Al(4) is bonded to one S(1), one S(6), two equivalent S(4), and two equivalent S(7) atoms to form AlS6 octahedra that share  a cornercorner with one Cd(1)S4 tetrahedra,  a cornercorner with one Zn(3)S4 tetrahedra, corners with two equivalent Zn(1)S4 tetrahedra, corners with two equivalent Zn(2)S4 tetrahedra,  an edgeedge with one Al(1)S6 octahedra,  an edgeedge with one Al(2)S6 octahedra, and edges with four equivalent Al(4)S6 octahedra. There are eight inequivalent S sites. In the first S site, S(1) is bonded to one Cd(1) and three equivalent Al(4) atoms to form distorted SAl3Cd tetrahedra that share corners with three equivalent S(3)Al3Cd tetrahedra, corners with three equivalent S(6)Al3Zn trigonal pyramids, corners with six equivalent S(7)Al3Zn trigonal pyramids, and edges with three equivalent S(4)Al3Zn trigonal pyramids. In the second S site, S(2) is bonded to one Zn(1) and three equivalent Al(3) atoms to form distorted SAl3Zn trigonal pyramids that share corners with three equivalent S(4)Al3Zn trigonal pyramids, corners with three equivalent S(5)Al3Zn trigonal pyramids, corners with six equivalent S(8)Al3Zn trigonal pyramids, and edges with three equivalent S(3)Al3Cd tetrahedra. In the third S site, S(3) is bonded to one Cd(1), one Al(1), and two equivalent Al(3) atoms to form distorted SAl3Cd tetrahedra that share  a cornercorner with one S(1)Al3Cd tetrahedra, corners with two equivalent S(3)Al3Cd tetrahedra, corners with two equivalent S(5)Al3Zn trigonal pyramids, corners with three equivalent S(7)Al3Zn trigonal pyramids, corners with four equivalent S(8)Al3Zn trigonal pyramids, edges with two equivalent S(3)Al3Cd tetrahedra, and  an edgeedge with one S(2)Al3Zn trigonal pyramid. In the fourth S site, S(4) is bonded to one Zn(1), one Al(2), and two equivalent Al(4) atoms to form distorted SAl3Zn trigonal pyramids that share  a cornercorner with one S(2)Al3Zn trigonal pyramid, corners with two equivalent S(4)Al3Zn trigonal pyramids, corners with two equivalent S(6)Al3Zn trigonal pyramids, corners with three equivalent S(8)Al3Zn trigonal pyramids, corners with four equivalent S(7)Al3Zn trigonal pyramids,  an edgeedge with one S(1)Al3Cd tetrahedra, and edges with two equivalent S(4)Al3Zn trigonal pyramids. In the fifth S site, S(5) is bonded to one Zn(2) and three equivalent Al(3) atoms to form distorted SAl3Zn trigonal pyramids that share corners with six equivalent S(3)Al3Cd tetrahedra, corners with three equivalent S(2)Al3Zn trigonal pyramids, corners with three equivalent S(7)Al3Zn trigonal pyramids, and edges with three equivalent S(8)Al3Zn trigonal pyramids. In the sixth S site, S(6) is bonded to one Zn(3) and three equivalent Al(4) atoms to form distorted SAl3Zn trigonal pyramids that share corners with three equivalent S(1)Al3Cd tetrahedra, corners with three equivalent S(8)Al3Zn trigonal pyramids, corners with six equivalent S(4)Al3Zn trigonal pyramids, and edges with three equivalent S(7)Al3Zn trigonal pyramids. In the seventh S site, S(7) is bonded to one Zn(2), one Al(1), and two equivalent Al(4) atoms to form distorted SAl3Zn trigonal pyramids that share corners with two equivalent S(1)Al3Cd tetrahedra, corners with three equivalent S(3)Al3Cd tetrahedra,  a cornercorner with one S(5)Al3Zn trigonal pyramid, corners with two equivalent S(7)Al3Zn trigonal pyramids, corners with four equivalent S(4)Al3Zn trigonal pyramids,  an edgeedge with one S(6)Al3Zn trigonal pyramid, and edges with two equivalent S(7)Al3Zn trigonal pyramids. In the eighth S site, S(8) is bonded to one Zn(3), one Al(2), and two equivalent Al(3) atoms to form distorted SAl3Zn trigonal pyramids that share corners with four equivalent S(3)Al3Cd tetrahedra,  a cornercorner with one S(6)Al3Zn trigonal pyramid, corners with two equivalent S(2)Al3Zn trigonal pyramids, corners with two equivalent S(8)Al3Zn trigonal pyramids, corners with three equivalent S(4)Al3Zn trigonal pyramids,  an edgeedge with one S(5)Al3Zn trigonal pyramid, and edges with two equivalent S(8)Al3Zn trigonal pyramids. is represented by the CIF card [CIF]
data_Al8Zn3CdS16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.438
_cell_length_b   12.438
_cell_length_c   12.438
_cell_angle_alpha   33.583
_cell_angle_beta   33.583
_cell_angle_gamma   33.583
_symmetry_Int_Tables_number   1
_cell_volume   524.413
_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
  Al  Al0  1  0.250  0.250  0.250  1.0
  Al  Al1  1  0.750  0.750  0.750  1.0
  Al  Al2  1  0.500  0.500  0.001  1.0
  Al  Al3  1  1.000  1.000  0.499  1.0
  Al  Al4  1  0.500  0.001  0.500  1.0
  Al  Al5  1  1.000  0.499  1.000  1.0
  Al  Al6  1  0.001  0.500  0.500  1.0
  Al  Al7  1  0.499  1.000  1.000  1.0
  Zn  Zn8  1  0.437  0.437  0.437  1.0
  Zn  Zn9  1  0.562  0.562  0.562  1.0
  Zn  Zn10  1  0.063  0.063  0.063  1.0
  Cd  Cd11  1  0.938  0.938  0.938  1.0
  S  S12  1  0.867  0.867  0.867  1.0
  S  S13  1  0.371  0.371  0.371  1.0
  S  S14  1  0.147  0.147  0.588  1.0
  S  S15  1  0.639  0.639  0.101  1.0
  S  S16  1  0.147  0.588  0.147  1.0
  S  S17  1  0.639  0.101  0.639  1.0
  S  S18  1  0.588  0.147  0.147  1.0
  S  S19  1  0.101  0.639  0.639  1.0
  S  S20  1  0.630  0.630  0.630  1.0
  S  S21  1  0.130  0.130  0.130  1.0
  S  S22  1  0.360  0.360  0.900  1.0
  S  S23  1  0.860  0.860  0.400  1.0
  S  S24  1  0.360  0.900  0.360  1.0
  S  S25  1  0.860  0.400  0.860  1.0
  S  S26  1  0.900  0.360  0.360  1.0
  S  S27  1  0.400  0.860  0.860  1.0
[/CIF]
.