The structure described by AgCrTiS4 crystallizes in the orthorhombic Pmc2_1 space group. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent S(6) and four equivalent S(1) atoms to form TiS6 octahedra that share corners with four equivalent Ag(2)S5 square pyramids,  a cornercorner with one Ti(2)S4 trigonal pyramid,  an edgeedge with one Ti(2)S4 trigonal pyramid, faces with two equivalent Ti(1)S6 octahedra, and  a faceface with one Ti(2)S4 trigonal pyramid. In the second Ti site, Ti(2) is bonded to one S(3), one S(6), and two equivalent S(1) atoms to form distorted TiS4 trigonal pyramids that share  a cornercorner with one Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids,  an edgeedge with one Ti(1)S6 octahedra, and  a faceface with one Ti(1)S6 octahedra. The corner-sharing octahedral tilt angles are 36°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent S(5) and four equivalent S(2) atoms to form CrS6 octahedra that share corners with two equivalent Ag(2)S5 square pyramids and faces with two equivalent Cr(1)S6 octahedra. In the second Cr site, Cr(2) is bonded in a distorted rectangular see-saw-like geometry to one S(4), one S(5), and two equivalent S(2) atoms. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 3-coordinate geometry to one S(6), two equivalent S(2), and two equivalent S(3) atoms. In the second Ag site, Ag(2) is bonded to one S(5), two equivalent S(1), and two equivalent S(4) atoms to form distorted AgS5 square pyramids that share corners with two equivalent Cr(1)S6 octahedra, corners with four equivalent Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids, and corners with two equivalent Ti(2)S4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 25-51°. There are six inequivalent S sites. In the first S site, S(1) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(2) atom. In the second S site, S(2) is bonded in a 4-coordinate geometry to one Cr(2), two equivalent Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 3-coordinate geometry to one Ti(2) and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded in a 3-coordinate geometry to one Cr(2) and two equivalent Ag(2) atoms. In the fifth S site, S(5) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), two equivalent Cr(1), and one Ag(2) atom. In the sixth S site, S(6) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_TiCrAgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.839
_cell_length_b   9.309
_cell_length_c   11.634
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   632.441
_cell_formula_units_Z   4
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  0.007  0.000  0.489  1.0
  Ti  Ti1  1  0.507  0.000  0.511  1.0
  Ti  Ti2  1  0.142  0.000  0.723  1.0
  Ti  Ti3  1  0.642  0.000  0.277  1.0
  Cr  Cr4  1  0.984  0.500  0.010  1.0
  Cr  Cr5  1  0.484  0.500  0.990  1.0
  Cr  Cr6  1  0.870  0.500  0.786  1.0
  Cr  Cr7  1  0.370  0.500  0.214  1.0
  Ag  Ag8  1  0.195  0.000  0.117  1.0
  Ag  Ag9  1  0.809  0.500  0.389  1.0
  Ag  Ag10  1  0.309  0.500  0.611  1.0
  Ag  Ag11  1  0.695  0.000  0.883  1.0
  S  S12  1  0.250  0.180  0.595  1.0
  S  S13  1  0.745  0.333  0.907  1.0
  S  S14  1  0.245  0.333  0.093  1.0
  S  S15  1  0.750  0.180  0.405  1.0
  S  S16  1  0.750  0.820  0.405  1.0
  S  S17  1  0.245  0.667  0.093  1.0
  S  S18  1  0.745  0.667  0.907  1.0
  S  S19  1  0.250  0.820  0.595  1.0
  S  S20  1  0.758  0.000  0.096  1.0
  S  S21  1  0.250  0.500  0.389  1.0
  S  S22  1  0.750  0.500  0.611  1.0
  S  S23  1  0.258  0.000  0.904  1.0
  S  S24  1  0.233  0.500  0.829  1.0
  S  S25  1  0.762  0.000  0.671  1.0
  S  S26  1  0.262  0.000  0.329  1.0
  S  S27  1  0.733  0.500  0.171  1.0
[/CIF]
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The structure described by AgCrTiS4 crystallizes in the orthorhombic Pmc2_1 space group. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to two equivalent S(6) and four equivalent S(1) atoms to form TiS6 octahedra that share corners with four equivalent Ag(2)S5 square pyramids,  a cornercorner with one Ti(2)S4 trigonal pyramid,  an edgeedge with one Ti(2)S4 trigonal pyramid, faces with two equivalent Ti(1)S6 octahedra, and  a faceface with one Ti(2)S4 trigonal pyramid. In the second Ti site, Ti(2) is bonded to one S(3), one S(6), and two equivalent S(1) atoms to form distorted TiS4 trigonal pyramids that share  a cornercorner with one Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids,  an edgeedge with one Ti(1)S6 octahedra, and  a faceface with one Ti(1)S6 octahedra. The corner-sharing octahedral tilt angles are 36°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent S(5) and four equivalent S(2) atoms to form CrS6 octahedra that share corners with two equivalent Ag(2)S5 square pyramids and faces with two equivalent Cr(1)S6 octahedra. In the second Cr site, Cr(2) is bonded in a distorted rectangular see-saw-like geometry to one S(4), one S(5), and two equivalent S(2) atoms. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded in a 3-coordinate geometry to one S(6), two equivalent S(2), and two equivalent S(3) atoms. In the second Ag site, Ag(2) is bonded to one S(5), two equivalent S(1), and two equivalent S(4) atoms to form distorted AgS5 square pyramids that share corners with two equivalent Cr(1)S6 octahedra, corners with four equivalent Ti(1)S6 octahedra, corners with two equivalent Ag(2)S5 square pyramids, and corners with two equivalent Ti(2)S4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 25-51°. There are six inequivalent S sites. In the first S site, S(1) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(2) atom. In the second S site, S(2) is bonded in a 4-coordinate geometry to one Cr(2), two equivalent Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded in a 3-coordinate geometry to one Ti(2) and two equivalent Ag(1) atoms. In the fourth S site, S(4) is bonded in a 3-coordinate geometry to one Cr(2) and two equivalent Ag(2) atoms. In the fifth S site, S(5) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), two equivalent Cr(1), and one Ag(2) atom. In the sixth S site, S(6) is bonded in a 4-coordinate geometry to one Ti(2), two equivalent Ti(1), and one Ag(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_TiCrAgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.839
_cell_length_b   9.309
_cell_length_c   11.634
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   632.441
_cell_formula_units_Z   4
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  0.007  0.000  0.489  1.0
  Ti  Ti1  1  0.507  0.000  0.511  1.0
  Ti  Ti2  1  0.142  0.000  0.723  1.0
  Ti  Ti3  1  0.642  0.000  0.277  1.0
  Cr  Cr4  1  0.984  0.500  0.010  1.0
  Cr  Cr5  1  0.484  0.500  0.990  1.0
  Cr  Cr6  1  0.870  0.500  0.786  1.0
  Cr  Cr7  1  0.370  0.500  0.214  1.0
  Ag  Ag8  1  0.195  0.000  0.117  1.0
  Ag  Ag9  1  0.809  0.500  0.389  1.0
  Ag  Ag10  1  0.309  0.500  0.611  1.0
  Ag  Ag11  1  0.695  0.000  0.883  1.0
  S  S12  1  0.250  0.180  0.595  1.0
  S  S13  1  0.745  0.333  0.907  1.0
  S  S14  1  0.245  0.333  0.093  1.0
  S  S15  1  0.750  0.180  0.405  1.0
  S  S16  1  0.750  0.820  0.405  1.0
  S  S17  1  0.245  0.667  0.093  1.0
  S  S18  1  0.745  0.667  0.907  1.0
  S  S19  1  0.250  0.820  0.595  1.0
  S  S20  1  0.758  0.000  0.096  1.0
  S  S21  1  0.250  0.500  0.389  1.0
  S  S22  1  0.750  0.500  0.611  1.0
  S  S23  1  0.258  0.000  0.904  1.0
  S  S24  1  0.233  0.500  0.829  1.0
  S  S25  1  0.762  0.000  0.671  1.0
  S  S26  1  0.262  0.000  0.329  1.0
  S  S27  1  0.733  0.500  0.171  1.0
[/CIF]
.