The crystal structure described by HfCrAgS4 crystallizes in the orthorhombic Pnma space group. Hf(1) is bonded to one S(2), one S(4), two equivalent S(1), and two equivalent S(3) atoms to form HfS6 octahedra that share corners with three equivalent Cr(1)S6 octahedra, edges with two equivalent Hf(1)S6 octahedra, and edges with two equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. Cr(1) is bonded to one S(3), two equivalent S(4), and three equivalent S(2) atoms to form CrS6 octahedra that share corners with three equivalent Hf(1)S6 octahedra, edges with two equivalent Hf(1)S6 octahedra, and edges with four equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. Ag(1) is bonded in a 7-coordinate geometry to two equivalent S(3), two equivalent S(4), and three equivalent S(1) atoms. There are four inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Hf(1) and three equivalent Ag(1) atoms to form distorted SHf2Ag3 square pyramids that share corners with two equivalent S(4)HfCr2Ag2 square pyramids, corners with six equivalent S(3)Hf2CrAg2 trigonal bipyramids, corners with two equivalent S(2)HfCr3 trigonal pyramids, edges with three equivalent S(4)HfCr2Ag2 square pyramids, edges with four equivalent S(1)Hf2Ag3 square pyramids, and edges with two equivalent S(3)Hf2CrAg2 trigonal bipyramids. In the second S site, S(2) is bonded to one Hf(1) and three equivalent Cr(1) atoms to form distorted SHfCr3 trigonal pyramids that share corners with two equivalent S(1)Hf2Ag3 square pyramids, corners with five equivalent S(4)HfCr2Ag2 square pyramids, corners with five equivalent S(3)Hf2CrAg2 trigonal bipyramids, corners with two equivalent S(2)HfCr3 trigonal pyramids,  an edgeedge with one S(4)HfCr2Ag2 square pyramid, and edges with two equivalent S(2)HfCr3 trigonal pyramids. In the third S site, S(3) is bonded to two equivalent Hf(1), one Cr(1), and two equivalent Ag(1) atoms to form distorted SHf2CrAg2 trigonal bipyramids that share corners with two equivalent S(4)HfCr2Ag2 square pyramids, corners with six equivalent S(1)Hf2Ag3 square pyramids, corners with five equivalent S(2)HfCr3 trigonal pyramids, edges with two equivalent S(1)Hf2Ag3 square pyramids, edges with three equivalent S(4)HfCr2Ag2 square pyramids, and edges with two equivalent S(3)Hf2CrAg2 trigonal bipyramids. In the fourth S site, S(4) is bonded to one Hf(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted SHfCr2Ag2 square pyramids that share corners with two equivalent S(1)Hf2Ag3 square pyramids, corners with two equivalent S(3)Hf2CrAg2 trigonal bipyramids, corners with five equivalent S(2)HfCr3 trigonal pyramids, edges with two equivalent S(4)HfCr2Ag2 square pyramids, edges with three equivalent S(1)Hf2Ag3 square pyramids, edges with three equivalent S(3)Hf2CrAg2 trigonal bipyramids, and  an edgeedge with one S(2)HfCr3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_HfCrAgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.055
_cell_length_b   3.611
_cell_length_c   12.375
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   538.677
_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
  Hf  Hf0  1  0.151  0.250  0.709  1.0
  Hf  Hf1  1  0.849  0.750  0.291  1.0
  Hf  Hf2  1  0.349  0.750  0.209  1.0
  Hf  Hf3  1  0.651  0.250  0.791  1.0
  Cr  Cr4  1  0.108  0.250  0.075  1.0
  Cr  Cr5  1  0.892  0.750  0.925  1.0
  Cr  Cr6  1  0.392  0.750  0.575  1.0
  Cr  Cr7  1  0.608  0.250  0.425  1.0
  Ag  Ag8  1  0.138  0.750  0.416  1.0
  Ag  Ag9  1  0.862  0.250  0.584  1.0
  Ag  Ag10  1  0.362  0.250  0.916  1.0
  Ag  Ag11  1  0.638  0.750  0.084  1.0
  S  S12  1  0.042  0.750  0.618  1.0
  S  S13  1  0.958  0.250  0.382  1.0
  S  S14  1  0.458  0.250  0.118  1.0
  S  S15  1  0.542  0.750  0.882  1.0
  S  S16  1  0.029  0.250  0.888  1.0
  S  S17  1  0.971  0.750  0.112  1.0
  S  S18  1  0.471  0.750  0.388  1.0
  S  S19  1  0.529  0.250  0.612  1.0
  S  S20  1  0.204  0.250  0.252  1.0
  S  S21  1  0.796  0.750  0.748  1.0
  S  S22  1  0.296  0.750  0.752  1.0
  S  S23  1  0.704  0.250  0.248  1.0
  S  S24  1  0.230  0.750  0.032  1.0
  S  S25  1  0.770  0.250  0.968  1.0
  S  S26  1  0.270  0.250  0.532  1.0
  S  S27  1  0.730  0.750  0.468  1.0
[/CIF]
.
The crystal structure described by HfCrAgS4 crystallizes in the orthorhombic Pnma space group. Hf(1) is bonded to one S(2), one S(4), two equivalent S(1), and two equivalent S(3) atoms to form HfS6 octahedra that share corners with three equivalent Cr(1)S6 octahedra, edges with two equivalent Hf(1)S6 octahedra, and edges with two equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. Cr(1) is bonded to one S(3), two equivalent S(4), and three equivalent S(2) atoms to form CrS6 octahedra that share corners with three equivalent Hf(1)S6 octahedra, edges with two equivalent Hf(1)S6 octahedra, and edges with four equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 56-58°. Ag(1) is bonded in a 7-coordinate geometry to two equivalent S(3), two equivalent S(4), and three equivalent S(1) atoms. There are four inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Hf(1) and three equivalent Ag(1) atoms to form distorted SHf2Ag3 square pyramids that share corners with two equivalent S(4)HfCr2Ag2 square pyramids, corners with six equivalent S(3)Hf2CrAg2 trigonal bipyramids, corners with two equivalent S(2)HfCr3 trigonal pyramids, edges with three equivalent S(4)HfCr2Ag2 square pyramids, edges with four equivalent S(1)Hf2Ag3 square pyramids, and edges with two equivalent S(3)Hf2CrAg2 trigonal bipyramids. In the second S site, S(2) is bonded to one Hf(1) and three equivalent Cr(1) atoms to form distorted SHfCr3 trigonal pyramids that share corners with two equivalent S(1)Hf2Ag3 square pyramids, corners with five equivalent S(4)HfCr2Ag2 square pyramids, corners with five equivalent S(3)Hf2CrAg2 trigonal bipyramids, corners with two equivalent S(2)HfCr3 trigonal pyramids,  an edgeedge with one S(4)HfCr2Ag2 square pyramid, and edges with two equivalent S(2)HfCr3 trigonal pyramids. In the third S site, S(3) is bonded to two equivalent Hf(1), one Cr(1), and two equivalent Ag(1) atoms to form distorted SHf2CrAg2 trigonal bipyramids that share corners with two equivalent S(4)HfCr2Ag2 square pyramids, corners with six equivalent S(1)Hf2Ag3 square pyramids, corners with five equivalent S(2)HfCr3 trigonal pyramids, edges with two equivalent S(1)Hf2Ag3 square pyramids, edges with three equivalent S(4)HfCr2Ag2 square pyramids, and edges with two equivalent S(3)Hf2CrAg2 trigonal bipyramids. In the fourth S site, S(4) is bonded to one Hf(1), two equivalent Cr(1), and two equivalent Ag(1) atoms to form distorted SHfCr2Ag2 square pyramids that share corners with two equivalent S(1)Hf2Ag3 square pyramids, corners with two equivalent S(3)Hf2CrAg2 trigonal bipyramids, corners with five equivalent S(2)HfCr3 trigonal pyramids, edges with two equivalent S(4)HfCr2Ag2 square pyramids, edges with three equivalent S(1)Hf2Ag3 square pyramids, edges with three equivalent S(3)Hf2CrAg2 trigonal bipyramids, and  an edgeedge with one S(2)HfCr3 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_HfCrAgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.055
_cell_length_b   3.611
_cell_length_c   12.375
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   538.677
_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
  Hf  Hf0  1  0.151  0.250  0.709  1.0
  Hf  Hf1  1  0.849  0.750  0.291  1.0
  Hf  Hf2  1  0.349  0.750  0.209  1.0
  Hf  Hf3  1  0.651  0.250  0.791  1.0
  Cr  Cr4  1  0.108  0.250  0.075  1.0
  Cr  Cr5  1  0.892  0.750  0.925  1.0
  Cr  Cr6  1  0.392  0.750  0.575  1.0
  Cr  Cr7  1  0.608  0.250  0.425  1.0
  Ag  Ag8  1  0.138  0.750  0.416  1.0
  Ag  Ag9  1  0.862  0.250  0.584  1.0
  Ag  Ag10  1  0.362  0.250  0.916  1.0
  Ag  Ag11  1  0.638  0.750  0.084  1.0
  S  S12  1  0.042  0.750  0.618  1.0
  S  S13  1  0.958  0.250  0.382  1.0
  S  S14  1  0.458  0.250  0.118  1.0
  S  S15  1  0.542  0.750  0.882  1.0
  S  S16  1  0.029  0.250  0.888  1.0
  S  S17  1  0.971  0.750  0.112  1.0
  S  S18  1  0.471  0.750  0.388  1.0
  S  S19  1  0.529  0.250  0.612  1.0
  S  S20  1  0.204  0.250  0.252  1.0
  S  S21  1  0.796  0.750  0.748  1.0
  S  S22  1  0.296  0.750  0.752  1.0
  S  S23  1  0.704  0.250  0.248  1.0
  S  S24  1  0.230  0.750  0.032  1.0
  S  S25  1  0.770  0.250  0.968  1.0
  S  S26  1  0.270  0.250  0.532  1.0
  S  S27  1  0.730  0.750  0.468  1.0
[/CIF]
.