The material structure described by AgCrTiS4 crystallizes in the monoclinic Cm space group. Ti(1) is bonded to one S(1), one S(4), two equivalent S(2), and two equivalent S(3) atoms to form TiS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Ti(1)S6 octahedra, edges with four equivalent Cr(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. Cr(1) is bonded to one S(2), one S(3), two equivalent S(1), and two equivalent S(4) atoms to form CrS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with four equivalent Ti(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-49°. Ag(1) is bonded to one S(1), one S(2), two equivalent S(3), and two equivalent S(4) atoms to form distorted AgS6 octahedra that share corners with six equivalent Ti(1)S6 octahedra, corners with six equivalent Cr(1)S6 octahedra, edges with two equivalent Ag(1)S6 octahedra,  a faceface with one Ti(1)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-52°. There are four inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to one Ti(1), two equivalent Cr(1), and one Ag(1) atom. In the second S site, S(2) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ti(1), one Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to two equivalent Ti(1), one Cr(1), and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded to one Ti(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted edge-sharing STiCr2Ag2 trigonal bipyramids. is represented by the CIF file [CIF]
data_TiCrAgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.228
_cell_length_b   7.228
_cell_length_c   5.959
_cell_angle_alpha   66.676
_cell_angle_beta   66.676
_cell_angle_gamma   27.875
_symmetry_Int_Tables_number   1
_cell_volume   132.908
_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
  Ti  Ti0  1  0.249  0.249  0.781  1.0
  Cr  Cr1  1  0.752  0.752  0.231  1.0
  Ag  Ag2  1  0.499  0.499  0.504  1.0
  S  S3  1  0.364  0.364  0.979  1.0
  S  S4  1  0.635  0.635  0.024  1.0
  S  S5  1  0.851  0.851  0.478  1.0
  S  S6  1  0.151  0.151  0.503  1.0
[/CIF]
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The material structure described by AgCrTiS4 crystallizes in the monoclinic Cm space group. Ti(1) is bonded to one S(1), one S(4), two equivalent S(2), and two equivalent S(3) atoms to form TiS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Ti(1)S6 octahedra, edges with four equivalent Cr(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 50-52°. Cr(1) is bonded to one S(2), one S(3), two equivalent S(1), and two equivalent S(4) atoms to form CrS6 octahedra that share corners with six equivalent Ag(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with four equivalent Ti(1)S6 octahedra, and  a faceface with one Ag(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-49°. Ag(1) is bonded to one S(1), one S(2), two equivalent S(3), and two equivalent S(4) atoms to form distorted AgS6 octahedra that share corners with six equivalent Ti(1)S6 octahedra, corners with six equivalent Cr(1)S6 octahedra, edges with two equivalent Ag(1)S6 octahedra,  a faceface with one Ti(1)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 45-52°. There are four inequivalent S sites. In the first S site, S(1) is bonded in a rectangular see-saw-like geometry to one Ti(1), two equivalent Cr(1), and one Ag(1) atom. In the second S site, S(2) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Ti(1), one Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to two equivalent Ti(1), one Cr(1), and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded to one Ti(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted edge-sharing STiCr2Ag2 trigonal bipyramids. is represented by the CIF file [CIF]
data_TiCrAgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.228
_cell_length_b   7.228
_cell_length_c   5.959
_cell_angle_alpha   66.676
_cell_angle_beta   66.676
_cell_angle_gamma   27.875
_symmetry_Int_Tables_number   1
_cell_volume   132.908
_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
  Ti  Ti0  1  0.249  0.249  0.781  1.0
  Cr  Cr1  1  0.752  0.752  0.231  1.0
  Ag  Ag2  1  0.499  0.499  0.504  1.0
  S  S3  1  0.364  0.364  0.979  1.0
  S  S4  1  0.635  0.635  0.024  1.0
  S  S5  1  0.851  0.851  0.478  1.0
  S  S6  1  0.151  0.151  0.503  1.0
[/CIF]
.