The crystal structure described by AgBiTe2 is Caswellsilverite-like structured and crystallizes in the trigonal P-3m1 space group. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Te(2) and three equivalent Te(3) atoms to form AgTe6 octahedra that share corners with three equivalent Ag(2)Te6 octahedra, corners with three equivalent Bi(1)Te6 octahedra, edges with three equivalent Ag(2)Te6 octahedra, edges with three equivalent Bi(1)Te6 octahedra, and edges with six equivalent Ag(1)Te6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the second Ag site, Ag(2) is bonded to six equivalent Te(2) atoms to form a mixture of corner and edge-sharing AgTe6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to three equivalent Te(1) and three equivalent Te(3) atoms to form BiTe6 octahedra that share corners with three equivalent Ag(1)Te6 octahedra, corners with three equivalent Bi(2)Te6 octahedra, edges with three equivalent Ag(1)Te6 octahedra, edges with three equivalent Bi(2)Te6 octahedra, and edges with six equivalent Bi(1)Te6 octahedra. The corner-sharing octahedral tilt angles range from 2-4°. In the second Bi site, Bi(2) is bonded to six equivalent Te(1) atoms to form a mixture of corner and edge-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three inequivalent Te sites. In the first Te site, Te(1) is bonded to three equivalent Bi(1) and three equivalent Bi(2) atoms to form TeBi6 octahedra that share corners with three equivalent Te(3)Ag3Bi3 octahedra, corners with three equivalent Te(1)Bi6 octahedra, edges with three equivalent Te(3)Ag3Bi3 octahedra, and edges with nine equivalent Te(1)Bi6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second Te site, Te(2) is bonded to three equivalent Ag(1) and three equivalent Ag(2) atoms to form TeAg6 octahedra that share corners with three equivalent Te(3)Ag3Bi3 octahedra, corners with three equivalent Te(2)Ag6 octahedra, edges with three equivalent Te(3)Ag3Bi3 octahedra, and edges with nine equivalent Te(2)Ag6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third Te site, Te(3) is bonded to three equivalent Ag(1) and three equivalent Bi(1) atoms to form TeAg3Bi3 octahedra that share corners with three equivalent Te(2)Ag6 octahedra, corners with three equivalent Te(1)Bi6 octahedra, edges with three equivalent Te(2)Ag6 octahedra, edges with three equivalent Te(1)Bi6 octahedra, and edges with six equivalent Te(3)Ag3Bi3 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. is represented by the CIF file [CIF]
data_AgBiTe2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.423
_cell_length_b   4.423
_cell_length_c   21.394
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   362.428
_cell_formula_units_Z   3
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
  Ag  Ag0  1  0.667  0.333  0.362  1.0
  Ag  Ag1  1  0.333  0.667  0.638  1.0
  Ag  Ag2  1  0.000  0.000  0.500  1.0
  Bi  Bi3  1  0.333  0.667  0.189  1.0
  Bi  Bi4  1  0.667  0.333  0.811  1.0
  Bi  Bi5  1  0.000  0.000  0.000  1.0
  Te  Te6  1  0.667  0.333  0.088  1.0
  Te  Te7  1  0.333  0.667  0.912  1.0
  Te  Te8  1  0.667  0.333  0.580  1.0
  Te  Te9  1  0.333  0.667  0.420  1.0
  Te  Te10  1  0.000  0.000  0.272  1.0
  Te  Te11  1  0.000  0.000  0.728  1.0
[/CIF]
.
The crystal structure described by AgBiTe2 is Caswellsilverite-like structured and crystallizes in the trigonal P-3m1 space group. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to three equivalent Te(2) and three equivalent Te(3) atoms to form AgTe6 octahedra that share corners with three equivalent Ag(2)Te6 octahedra, corners with three equivalent Bi(1)Te6 octahedra, edges with three equivalent Ag(2)Te6 octahedra, edges with three equivalent Bi(1)Te6 octahedra, and edges with six equivalent Ag(1)Te6 octahedra. The corner-sharing octahedral tilt angles range from 2-8°. In the second Ag site, Ag(2) is bonded to six equivalent Te(2) atoms to form a mixture of corner and edge-sharing AgTe6 octahedra. The corner-sharing octahedral tilt angles are 8°. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded to three equivalent Te(1) and three equivalent Te(3) atoms to form BiTe6 octahedra that share corners with three equivalent Ag(1)Te6 octahedra, corners with three equivalent Bi(2)Te6 octahedra, edges with three equivalent Ag(1)Te6 octahedra, edges with three equivalent Bi(2)Te6 octahedra, and edges with six equivalent Bi(1)Te6 octahedra. The corner-sharing octahedral tilt angles range from 2-4°. In the second Bi site, Bi(2) is bonded to six equivalent Te(1) atoms to form a mixture of corner and edge-sharing BiTe6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are three inequivalent Te sites. In the first Te site, Te(1) is bonded to three equivalent Bi(1) and three equivalent Bi(2) atoms to form TeBi6 octahedra that share corners with three equivalent Te(3)Ag3Bi3 octahedra, corners with three equivalent Te(1)Bi6 octahedra, edges with three equivalent Te(3)Ag3Bi3 octahedra, and edges with nine equivalent Te(1)Bi6 octahedra. The corner-sharing octahedral tilt angles range from 0-6°. In the second Te site, Te(2) is bonded to three equivalent Ag(1) and three equivalent Ag(2) atoms to form TeAg6 octahedra that share corners with three equivalent Te(3)Ag3Bi3 octahedra, corners with three equivalent Te(2)Ag6 octahedra, edges with three equivalent Te(3)Ag3Bi3 octahedra, and edges with nine equivalent Te(2)Ag6 octahedra. The corner-sharing octahedral tilt angles range from 0-11°. In the third Te site, Te(3) is bonded to three equivalent Ag(1) and three equivalent Bi(1) atoms to form TeAg3Bi3 octahedra that share corners with three equivalent Te(2)Ag6 octahedra, corners with three equivalent Te(1)Bi6 octahedra, edges with three equivalent Te(2)Ag6 octahedra, edges with three equivalent Te(1)Bi6 octahedra, and edges with six equivalent Te(3)Ag3Bi3 octahedra. The corner-sharing octahedral tilt angles range from 6-11°. is represented by the CIF file [CIF]
data_AgBiTe2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.423
_cell_length_b   4.423
_cell_length_c   21.394
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   362.428
_cell_formula_units_Z   3
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
  Ag  Ag0  1  0.667  0.333  0.362  1.0
  Ag  Ag1  1  0.333  0.667  0.638  1.0
  Ag  Ag2  1  0.000  0.000  0.500  1.0
  Bi  Bi3  1  0.333  0.667  0.189  1.0
  Bi  Bi4  1  0.667  0.333  0.811  1.0
  Bi  Bi5  1  0.000  0.000  0.000  1.0
  Te  Te6  1  0.667  0.333  0.088  1.0
  Te  Te7  1  0.333  0.667  0.912  1.0
  Te  Te8  1  0.667  0.333  0.580  1.0
  Te  Te9  1  0.333  0.667  0.420  1.0
  Te  Te10  1  0.000  0.000  0.272  1.0
  Te  Te11  1  0.000  0.000  0.728  1.0
[/CIF]
.