The material described by HfCrCuS4 crystallizes in the triclinic P1 space group. There are four inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one S(12), one S(16), one S(2), one S(4), one S(6), and one S(8) atom to form HfS6 octahedra that share  a cornercorner with one Cu(2)S6 pentagonal pyramid, corners with two equivalent Cu(1)S6 pentagonal pyramids, edges with two equivalent Hf(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the second Hf site, Hf(2) is bonded to one S(1), one S(11), one S(13), one S(15), one S(5), and one S(9) atom to form HfS6 octahedra that share edges with two equivalent Hf(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the third Hf site, Hf(3) is bonded to one S(11), one S(13), one S(15), one S(3), one S(7), and one S(9) atom to form HfS6 octahedra that share edges with two equivalent Hf(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the fourth Hf site, Hf(4) is bonded to one S(10), one S(12), one S(14), one S(16), one S(4), and one S(8) atom to form HfS6 octahedra that share edges with two equivalent Hf(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(1), one S(13), one S(3), one S(5), one S(7), and one S(9) atom to form CrS6 octahedra that share  a cornercorner with one Cu(1)S6 pentagonal pyramid, corners with two equivalent Cu(2)S6 pentagonal pyramids, edges with two equivalent Hf(2)S6 octahedra, edges with two equivalent Hf(3)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and  an edgeedge with one Cu(1)S6 pentagonal pyramid. In the second Cr site, Cr(2) is bonded to one S(10), one S(14), one S(2), one S(4), one S(6), and one S(8) atom to form CrS6 octahedra that share  a cornercorner with one Cu(1)S6 pentagonal pyramid, corners with two equivalent Cu(2)S6 pentagonal pyramids, edges with two equivalent Hf(1)S6 octahedra, edges with two equivalent Hf(4)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Cu(1)S6 pentagonal pyramid. In the third Cr site, Cr(3) is bonded to one S(1), one S(11), one S(15), one S(3), one S(5), and one S(7) atom to form CrS6 octahedra that share  a cornercorner with one Cu(2)S6 pentagonal pyramid, corners with two equivalent Cu(1)S6 pentagonal pyramids, edges with two equivalent Hf(2)S6 octahedra, edges with two equivalent Hf(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the fourth Cr site, Cr(4) is bonded to one S(10), one S(12), one S(14), one S(16), one S(2), and one S(6) atom to form CrS6 octahedra that share edges with two equivalent Hf(1)S6 octahedra, edges with two equivalent Hf(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. There are four inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one S(10), one S(3), one S(4), one S(5), one S(6), and one S(9) atom to form distorted CuS6 pentagonal pyramids that share  a cornercorner with one Cr(1)S6 octahedra,  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Hf(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Hf(2)S6 octahedra,  an edgeedge with one Hf(3)S6 octahedra,  an edgeedge with one Hf(4)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second Cu site, Cu(2) is bonded to one S(1), one S(11), one S(12), one S(2), one S(7), and one S(8) atom to form distorted CuS6 pentagonal pyramids that share  a cornercorner with one Hf(1)S6 octahedra,  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra,  an edgeedge with one Hf(1)S6 octahedra,  an edgeedge with one Hf(2)S6 octahedra,  an edgeedge with one Hf(3)S6 octahedra,  an edgeedge with one Hf(4)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Cu site, Cu(3) is bonded in a 6-coordinate geometry to one S(1), one S(13), one S(14), one S(2), one S(7), and one S(8) atom. In the fourth Cu site, Cu(4) is bonded in a 6-coordinate geometry to one S(15), one S(16), one S(3), one S(4), one S(5), and one S(6) atom. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded to one Hf(2), one Cr(1), one Cr(3), one Cu(2), and one Cu(3) atom to form distorted SHfCr2Cu2 square pyramids that share  a cornercorner with one S(5)HfCr2Cu2 trigonal bipyramid, corners with two equivalent S(2)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(3)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(8)Hf2CrCu2 trigonal bipyramid,  an edgeedge with one S(5)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(7)HfCr2Cu2 trigonal bipyramids. In the second S site, S(2) is bonded to one Hf(1), one Cr(2), one Cr(4), one Cu(2), and one Cu(3) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share corners with two equivalent S(4)Hf2CrCu2 square pyramids, corners with two equivalent S(1)HfCr2Cu2 square pyramids,  a cornercorner with one S(6)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(6)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(7)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(8)Hf2CrCu2 trigonal bipyramids. In the third S site, S(3) is bonded to one Hf(3), one Cr(1), one Cr(3), one Cu(1), and one Cu(4) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share corners with two equivalent S(4)Hf2CrCu2 square pyramids, corners with two equivalent S(1)HfCr2Cu2 square pyramids,  a cornercorner with one S(7)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(6)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(7)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(5)HfCr2Cu2 trigonal bipyramids. In the fourth S site, S(4) is bonded to one Hf(1), one Hf(4), one Cr(2), one Cu(1), and one Cu(4) atom to form distorted SHf2CrCu2 square pyramids that share  a cornercorner with one S(8)Hf2CrCu2 trigonal bipyramid, corners with two equivalent S(2)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(3)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(8)Hf2CrCu2 trigonal bipyramid,  an edgeedge with one S(5)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(6)HfCr2Cu2 trigonal bipyramids. In the fifth S site, S(5) is bonded to one Hf(2), one Cr(1), one Cr(3), one Cu(1), and one Cu(4) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share  a cornercorner with one S(1)HfCr2Cu2 square pyramid, corners with two equivalent S(6)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(7)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(4)Hf2CrCu2 square pyramid,  an edgeedge with one S(1)HfCr2Cu2 square pyramid, and edges with two equivalent S(3)HfCr2Cu2 trigonal bipyramids. In the sixth S site, S(6) is bonded to one Hf(1), one Cr(2), one Cr(4), one Cu(1), and one Cu(4) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share  a cornercorner with one S(2)HfCr2Cu2 trigonal bipyramid, corners with two equivalent S(8)Hf2CrCu2 trigonal bipyramids, corners with two equivalent S(5)HfCr2Cu2 trigonal bipyramids, edges with two equivalent S(4)Hf2CrCu2 square pyramids,  an edgeedge with one S(2)HfCr2Cu2 trigonal bipyramid, and  an edgeedge with one S(3)HfCr2Cu2 trigonal bipyramid. In the seventh S site, S(7) is bonded to one Hf(3), one Cr(1), one Cr(3), one Cu(2), and one Cu(3) atom to form SHfCr2Cu2 trigonal bipyramids that share  a cornercorner with one S(3)HfCr2Cu2 trigonal bipyramid, corners with two equivalent S(8)Hf2CrCu2 trigonal bipyramids, corners with two equivalent S(5)HfCr2Cu2 trigonal bipyramids, edges with two equivalent S(1)HfCr2Cu2 square pyramids,  an edgeedge with one S(2)HfCr2Cu2 trigonal bipyramid, and  an edgeedge with one S(3)HfCr2Cu2 trigonal bipyramid. In the eighth S site, S(8) is bonded to one Hf(1), one Hf(4), one Cr(2), one Cu(2), and one Cu(3) atom to form distorted SHf2CrCu2 trigonal bipyramids that share  a cornercorner with one S(4)Hf2CrCu2 square pyramid, corners with two equivalent S(6)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(7)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(4)Hf2CrCu2 square pyramid,  an edgeedge with one S(1)HfCr2Cu2 square pyramid, and edges with two equivalent S(2)HfCr2Cu2 trigonal bipyramids. In the ninth S site, S(9) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(1), and one Cu(1) atom. In the tenth S site, S(10) is bonded in a rectangular see-saw-like geometry to one Hf(4), one Cr(2), one Cr(4), and one Cu(1) atom. In the eleventh S site, S(11) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(3), and one Cu(2) atom. In the twelfth S site, S(12) is bonded in a rectangular see-saw-like geometry to one Hf(1), one Hf(4), one Cr(4), and one Cu(2) atom. In the thirteenth S site, S(13) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(1), and one Cu(3) atom. In the fourteenth S site, S(14) is bonded in a rectangular see-saw-like geometry to one Hf(4), one Cr(2), one Cr(4), and one Cu(3) atom. In the fifteenth S site, S(15) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(3), and one Cu(4) atom. In the sixteenth S site, S(16) is bonded in a rectangular see-saw-like geometry to one Hf(1), one Hf(4), one Cr(4), and one Cu(4) atom. is represented by the CIF file [CIF]
data_HfCrCuS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.061
_cell_length_b   7.049
_cell_length_c   12.402
_cell_angle_alpha   90.730
_cell_angle_beta   90.128
_cell_angle_gamma   90.147
_symmetry_Int_Tables_number   1
_cell_volume   529.883
_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  0.007  0.517  0.746  1.0
  Hf  Hf1  1  0.500  0.251  0.250  1.0
  Hf  Hf2  1  0.500  0.750  0.250  1.0
  Hf  Hf3  1  0.503  0.233  0.752  1.0
  Cr  Cr4  1  0.995  0.999  0.246  1.0
  Cr  Cr5  1  0.999  0.002  0.755  1.0
  Cr  Cr6  1  0.002  0.500  0.254  1.0
  Cr  Cr7  1  0.500  0.750  0.750  1.0
  Cu  Cu8  1  0.362  1.000  0.999  1.0
  Cu  Cu9  1  0.637  0.502  0.493  1.0
  Cu  Cu10  1  0.031  0.996  0.500  1.0
  Cu  Cu11  1  0.965  0.502  0.997  1.0
  S  S12  1  0.846  0.254  0.366  1.0
  S  S13  1  0.822  0.763  0.635  1.0
  S  S14  1  0.149  0.747  0.135  1.0
  S  S15  1  0.159  0.248  0.870  1.0
  S  S16  1  0.150  0.247  0.136  1.0
  S  S17  1  0.181  0.768  0.867  1.0
  S  S18  1  0.847  0.750  0.367  1.0
  S  S19  1  0.846  0.240  0.633  1.0
  S  S20  1  0.666  0.998  0.130  1.0
  S  S21  1  0.669  0.983  0.865  1.0
  S  S22  1  0.328  0.502  0.368  1.0
  S  S23  1  0.356  0.506  0.633  1.0
  S  S24  1  0.314  0.002  0.364  1.0
  S  S25  1  0.315  0.986  0.639  1.0
  S  S26  1  0.684  0.498  0.135  1.0
  S  S27  1  0.669  0.509  0.864  1.0
[/CIF]
.
The material described by HfCrCuS4 crystallizes in the triclinic P1 space group. There are four inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one S(12), one S(16), one S(2), one S(4), one S(6), and one S(8) atom to form HfS6 octahedra that share  a cornercorner with one Cu(2)S6 pentagonal pyramid, corners with two equivalent Cu(1)S6 pentagonal pyramids, edges with two equivalent Hf(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the second Hf site, Hf(2) is bonded to one S(1), one S(11), one S(13), one S(15), one S(5), and one S(9) atom to form HfS6 octahedra that share edges with two equivalent Hf(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the third Hf site, Hf(3) is bonded to one S(11), one S(13), one S(15), one S(3), one S(7), and one S(9) atom to form HfS6 octahedra that share edges with two equivalent Hf(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the fourth Hf site, Hf(4) is bonded to one S(10), one S(12), one S(14), one S(16), one S(4), and one S(8) atom to form HfS6 octahedra that share edges with two equivalent Hf(1)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(1), one S(13), one S(3), one S(5), one S(7), and one S(9) atom to form CrS6 octahedra that share  a cornercorner with one Cu(1)S6 pentagonal pyramid, corners with two equivalent Cu(2)S6 pentagonal pyramids, edges with two equivalent Hf(2)S6 octahedra, edges with two equivalent Hf(3)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, and  an edgeedge with one Cu(1)S6 pentagonal pyramid. In the second Cr site, Cr(2) is bonded to one S(10), one S(14), one S(2), one S(4), one S(6), and one S(8) atom to form CrS6 octahedra that share  a cornercorner with one Cu(1)S6 pentagonal pyramid, corners with two equivalent Cu(2)S6 pentagonal pyramids, edges with two equivalent Hf(1)S6 octahedra, edges with two equivalent Hf(4)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  an edgeedge with one Cu(1)S6 pentagonal pyramid. In the third Cr site, Cr(3) is bonded to one S(1), one S(11), one S(15), one S(3), one S(5), and one S(7) atom to form CrS6 octahedra that share  a cornercorner with one Cu(2)S6 pentagonal pyramid, corners with two equivalent Cu(1)S6 pentagonal pyramids, edges with two equivalent Hf(2)S6 octahedra, edges with two equivalent Hf(3)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. In the fourth Cr site, Cr(4) is bonded to one S(10), one S(12), one S(14), one S(16), one S(2), and one S(6) atom to form CrS6 octahedra that share edges with two equivalent Hf(1)S6 octahedra, edges with two equivalent Hf(4)S6 octahedra, edges with two equivalent Cr(2)S6 octahedra,  an edgeedge with one Cu(1)S6 pentagonal pyramid, and  an edgeedge with one Cu(2)S6 pentagonal pyramid. There are four inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to one S(10), one S(3), one S(4), one S(5), one S(6), and one S(9) atom to form distorted CuS6 pentagonal pyramids that share  a cornercorner with one Cr(1)S6 octahedra,  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Hf(1)S6 octahedra, corners with two equivalent Cr(3)S6 octahedra,  an edgeedge with one Hf(2)S6 octahedra,  an edgeedge with one Hf(3)S6 octahedra,  an edgeedge with one Hf(4)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 4-9°. In the second Cu site, Cu(2) is bonded to one S(1), one S(11), one S(12), one S(2), one S(7), and one S(8) atom to form distorted CuS6 pentagonal pyramids that share  a cornercorner with one Hf(1)S6 octahedra,  a cornercorner with one Cr(3)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra,  an edgeedge with one Hf(1)S6 octahedra,  an edgeedge with one Hf(2)S6 octahedra,  an edgeedge with one Hf(3)S6 octahedra,  an edgeedge with one Hf(4)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra, and  an edgeedge with one Cr(4)S6 octahedra. The corner-sharing octahedral tilt angles range from 3-12°. In the third Cu site, Cu(3) is bonded in a 6-coordinate geometry to one S(1), one S(13), one S(14), one S(2), one S(7), and one S(8) atom. In the fourth Cu site, Cu(4) is bonded in a 6-coordinate geometry to one S(15), one S(16), one S(3), one S(4), one S(5), and one S(6) atom. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded to one Hf(2), one Cr(1), one Cr(3), one Cu(2), and one Cu(3) atom to form distorted SHfCr2Cu2 square pyramids that share  a cornercorner with one S(5)HfCr2Cu2 trigonal bipyramid, corners with two equivalent S(2)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(3)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(8)Hf2CrCu2 trigonal bipyramid,  an edgeedge with one S(5)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(7)HfCr2Cu2 trigonal bipyramids. In the second S site, S(2) is bonded to one Hf(1), one Cr(2), one Cr(4), one Cu(2), and one Cu(3) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share corners with two equivalent S(4)Hf2CrCu2 square pyramids, corners with two equivalent S(1)HfCr2Cu2 square pyramids,  a cornercorner with one S(6)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(6)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(7)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(8)Hf2CrCu2 trigonal bipyramids. In the third S site, S(3) is bonded to one Hf(3), one Cr(1), one Cr(3), one Cu(1), and one Cu(4) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share corners with two equivalent S(4)Hf2CrCu2 square pyramids, corners with two equivalent S(1)HfCr2Cu2 square pyramids,  a cornercorner with one S(7)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(6)HfCr2Cu2 trigonal bipyramid,  an edgeedge with one S(7)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(5)HfCr2Cu2 trigonal bipyramids. In the fourth S site, S(4) is bonded to one Hf(1), one Hf(4), one Cr(2), one Cu(1), and one Cu(4) atom to form distorted SHf2CrCu2 square pyramids that share  a cornercorner with one S(8)Hf2CrCu2 trigonal bipyramid, corners with two equivalent S(2)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(3)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(8)Hf2CrCu2 trigonal bipyramid,  an edgeedge with one S(5)HfCr2Cu2 trigonal bipyramid, and edges with two equivalent S(6)HfCr2Cu2 trigonal bipyramids. In the fifth S site, S(5) is bonded to one Hf(2), one Cr(1), one Cr(3), one Cu(1), and one Cu(4) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share  a cornercorner with one S(1)HfCr2Cu2 square pyramid, corners with two equivalent S(6)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(7)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(4)Hf2CrCu2 square pyramid,  an edgeedge with one S(1)HfCr2Cu2 square pyramid, and edges with two equivalent S(3)HfCr2Cu2 trigonal bipyramids. In the sixth S site, S(6) is bonded to one Hf(1), one Cr(2), one Cr(4), one Cu(1), and one Cu(4) atom to form distorted SHfCr2Cu2 trigonal bipyramids that share  a cornercorner with one S(2)HfCr2Cu2 trigonal bipyramid, corners with two equivalent S(8)Hf2CrCu2 trigonal bipyramids, corners with two equivalent S(5)HfCr2Cu2 trigonal bipyramids, edges with two equivalent S(4)Hf2CrCu2 square pyramids,  an edgeedge with one S(2)HfCr2Cu2 trigonal bipyramid, and  an edgeedge with one S(3)HfCr2Cu2 trigonal bipyramid. In the seventh S site, S(7) is bonded to one Hf(3), one Cr(1), one Cr(3), one Cu(2), and one Cu(3) atom to form SHfCr2Cu2 trigonal bipyramids that share  a cornercorner with one S(3)HfCr2Cu2 trigonal bipyramid, corners with two equivalent S(8)Hf2CrCu2 trigonal bipyramids, corners with two equivalent S(5)HfCr2Cu2 trigonal bipyramids, edges with two equivalent S(1)HfCr2Cu2 square pyramids,  an edgeedge with one S(2)HfCr2Cu2 trigonal bipyramid, and  an edgeedge with one S(3)HfCr2Cu2 trigonal bipyramid. In the eighth S site, S(8) is bonded to one Hf(1), one Hf(4), one Cr(2), one Cu(2), and one Cu(3) atom to form distorted SHf2CrCu2 trigonal bipyramids that share  a cornercorner with one S(4)Hf2CrCu2 square pyramid, corners with two equivalent S(6)HfCr2Cu2 trigonal bipyramids, corners with two equivalent S(7)HfCr2Cu2 trigonal bipyramids,  an edgeedge with one S(4)Hf2CrCu2 square pyramid,  an edgeedge with one S(1)HfCr2Cu2 square pyramid, and edges with two equivalent S(2)HfCr2Cu2 trigonal bipyramids. In the ninth S site, S(9) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(1), and one Cu(1) atom. In the tenth S site, S(10) is bonded in a rectangular see-saw-like geometry to one Hf(4), one Cr(2), one Cr(4), and one Cu(1) atom. In the eleventh S site, S(11) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(3), and one Cu(2) atom. In the twelfth S site, S(12) is bonded in a rectangular see-saw-like geometry to one Hf(1), one Hf(4), one Cr(4), and one Cu(2) atom. In the thirteenth S site, S(13) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(1), and one Cu(3) atom. In the fourteenth S site, S(14) is bonded in a rectangular see-saw-like geometry to one Hf(4), one Cr(2), one Cr(4), and one Cu(3) atom. In the fifteenth S site, S(15) is bonded in a rectangular see-saw-like geometry to one Hf(2), one Hf(3), one Cr(3), and one Cu(4) atom. In the sixteenth S site, S(16) is bonded in a rectangular see-saw-like geometry to one Hf(1), one Hf(4), one Cr(4), and one Cu(4) atom. is represented by the CIF file [CIF]
data_HfCrCuS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.061
_cell_length_b   7.049
_cell_length_c   12.402
_cell_angle_alpha   90.730
_cell_angle_beta   90.128
_cell_angle_gamma   90.147
_symmetry_Int_Tables_number   1
_cell_volume   529.883
_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  0.007  0.517  0.746  1.0
  Hf  Hf1  1  0.500  0.251  0.250  1.0
  Hf  Hf2  1  0.500  0.750  0.250  1.0
  Hf  Hf3  1  0.503  0.233  0.752  1.0
  Cr  Cr4  1  0.995  0.999  0.246  1.0
  Cr  Cr5  1  0.999  0.002  0.755  1.0
  Cr  Cr6  1  0.002  0.500  0.254  1.0
  Cr  Cr7  1  0.500  0.750  0.750  1.0
  Cu  Cu8  1  0.362  1.000  0.999  1.0
  Cu  Cu9  1  0.637  0.502  0.493  1.0
  Cu  Cu10  1  0.031  0.996  0.500  1.0
  Cu  Cu11  1  0.965  0.502  0.997  1.0
  S  S12  1  0.846  0.254  0.366  1.0
  S  S13  1  0.822  0.763  0.635  1.0
  S  S14  1  0.149  0.747  0.135  1.0
  S  S15  1  0.159  0.248  0.870  1.0
  S  S16  1  0.150  0.247  0.136  1.0
  S  S17  1  0.181  0.768  0.867  1.0
  S  S18  1  0.847  0.750  0.367  1.0
  S  S19  1  0.846  0.240  0.633  1.0
  S  S20  1  0.666  0.998  0.130  1.0
  S  S21  1  0.669  0.983  0.865  1.0
  S  S22  1  0.328  0.502  0.368  1.0
  S  S23  1  0.356  0.506  0.633  1.0
  S  S24  1  0.314  0.002  0.364  1.0
  S  S25  1  0.315  0.986  0.639  1.0
  S  S26  1  0.684  0.498  0.135  1.0
  S  S27  1  0.669  0.509  0.864  1.0
[/CIF]
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