The compound described by Ho3CrS6 crystallizes in the orthorhombic Pnnm space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to one S(4), one S(6), two equivalent S(1), two equivalent S(2), and two equivalent S(5) atoms. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to one S(4), one S(5), two equivalent S(2), two equivalent S(3), and two equivalent S(6) atoms. In the third Ho site, Ho(3) is bonded to one S(1), one S(2), one S(4), two equivalent S(3), and two equivalent S(5) atoms to form distorted HoS7 pentagonal bipyramids that share  a cornercorner with one Cr(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Ho(3)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 35°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent S(3) and four equivalent S(4) atoms to form CrS6 octahedra that share edges with two equivalent Cr(1)S6 octahedra and edges with four equivalent Ho(3)S7 pentagonal bipyramids. In the second Cr site, Cr(2) is bonded to two equivalent S(1) and four equivalent S(6) atoms to form CrS6 octahedra that share corners with two equivalent Ho(3)S7 pentagonal bipyramids and edges with two equivalent Cr(2)S6 octahedra. There are six inequivalent S sites. In the first S site, S(5) is bonded to one Ho(2), two equivalent Ho(1), and two equivalent Ho(3) atoms to form distorted SHo5 trigonal bipyramids that share  a cornercorner with one S(4)Ho3Cr2 trigonal bipyramid, corners with two equivalent S(2)Ho5 trigonal bipyramids, corners with four equivalent S(3)Ho4Cr trigonal bipyramids, corners with four equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(3)Ho4Cr trigonal bipyramid, edges with two equivalent S(4)Ho3Cr2 trigonal bipyramids, edges with two equivalent S(6)Ho3Cr2 trigonal bipyramids, edges with two equivalent S(5)Ho5 trigonal bipyramids, edges with three equivalent S(2)Ho5 trigonal bipyramids, and  an edgeedge with one S(1)Ho3Cr trigonal pyramid. In the second S site, S(6) is bonded to one Ho(1), two equivalent Ho(2), and two equivalent Cr(2) atoms to form distorted SHo3Cr2 trigonal bipyramids that share corners with two equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with two equivalent S(3)Ho4Cr trigonal bipyramids, corners with three equivalent S(4)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(2)Ho5 trigonal bipyramids, corners with two equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(3)Ho4Cr trigonal bipyramid,  an edgeedge with one S(2)Ho5 trigonal bipyramid, edges with two equivalent S(5)Ho5 trigonal bipyramids, edges with three equivalent S(6)Ho3Cr2 trigonal bipyramids, and edges with two equivalent S(1)Ho3Cr trigonal pyramids. In the third S site, S(1) is bonded to one Ho(3), two equivalent Ho(1), and one Cr(2) atom to form distorted SHo3Cr trigonal pyramids that share corners with two equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with two equivalent S(3)Ho4Cr trigonal bipyramids, corners with two equivalent S(2)Ho5 trigonal bipyramids, corners with three equivalent S(4)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(5)Ho5 trigonal bipyramids, corners with three equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(5)Ho5 trigonal bipyramid, edges with two equivalent S(6)Ho3Cr2 trigonal bipyramids, and  a faceface with one S(2)Ho5 trigonal bipyramid. In the fourth S site, S(2) is bonded to one Ho(3), two equivalent Ho(1), and two equivalent Ho(2) atoms to form distorted SHo5 trigonal bipyramids that share  a cornercorner with one S(4)Ho3Cr2 trigonal bipyramid, corners with two equivalent S(5)Ho5 trigonal bipyramids, corners with four equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(3)Ho4Cr trigonal bipyramids, corners with two equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(6)Ho3Cr2 trigonal bipyramid,  an edgeedge with one S(3)Ho4Cr trigonal bipyramid, edges with two equivalent S(4)Ho3Cr2 trigonal bipyramids, edges with two equivalent S(2)Ho5 trigonal bipyramids, edges with three equivalent S(5)Ho5 trigonal bipyramids, and  a faceface with one S(1)Ho3Cr trigonal pyramid. In the fifth S site, S(3) is bonded to two equivalent Ho(2), two equivalent Ho(3), and one Cr(1) atom to form distorted SHo4Cr trigonal bipyramids that share  a cornercorner with one S(3)Ho4Cr trigonal bipyramid, corners with two equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(2)Ho5 trigonal bipyramids, corners with four equivalent S(5)Ho5 trigonal bipyramids, corners with two equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(6)Ho3Cr2 trigonal bipyramid,  an edgeedge with one S(2)Ho5 trigonal bipyramid,  an edgeedge with one S(5)Ho5 trigonal bipyramid, edges with two equivalent S(3)Ho4Cr trigonal bipyramids, and edges with four equivalent S(4)Ho3Cr2 trigonal bipyramids. In the sixth S site, S(4) is bonded to one Ho(1), one Ho(2), one Ho(3), and two equivalent Cr(1) atoms to form distorted SHo3Cr2 trigonal bipyramids that share  a cornercorner with one S(2)Ho5 trigonal bipyramid,  a cornercorner with one S(5)Ho5 trigonal bipyramid, corners with three equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(4)Ho3Cr2 trigonal bipyramids, corners with three equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(4)Ho3Cr2 trigonal bipyramid, edges with two equivalent S(2)Ho5 trigonal bipyramids, edges with two equivalent S(5)Ho5 trigonal bipyramids, and edges with four equivalent S(3)Ho4Cr trigonal bipyramids. is represented by the CIF card [CIF]
data_Ho3CrS6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.745
_cell_length_b   13.244
_cell_length_c   15.895
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   788.361
_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
  Ho  Ho0  1  0.000  0.549  0.279  1.0
  Ho  Ho1  1  0.000  0.451  0.721  1.0
  Ho  Ho2  1  0.500  0.951  0.779  1.0
  Ho  Ho3  1  0.500  0.049  0.221  1.0
  Ho  Ho4  1  0.000  0.756  0.099  1.0
  Ho  Ho5  1  0.000  0.244  0.901  1.0
  Ho  Ho6  1  0.500  0.744  0.599  1.0
  Ho  Ho7  1  0.500  0.256  0.401  1.0
  Ho  Ho8  1  0.000  0.318  0.147  1.0
  Ho  Ho9  1  0.000  0.682  0.853  1.0
  Ho  Ho10  1  0.500  0.182  0.647  1.0
  Ho  Ho11  1  0.500  0.818  0.353  1.0
  Cr  Cr12  1  0.000  0.000  0.500  1.0
  Cr  Cr13  1  0.500  0.500  0.000  1.0
  Cr  Cr14  1  0.000  0.000  0.000  1.0
  Cr  Cr15  1  0.500  0.500  0.500  1.0
  S  S16  1  0.000  0.119  0.109  1.0
  S  S17  1  0.000  0.881  0.891  1.0
  S  S18  1  0.500  0.381  0.609  1.0
  S  S19  1  0.500  0.619  0.391  1.0
  S  S20  1  0.000  0.188  0.290  1.0
  S  S21  1  0.000  0.812  0.710  1.0
  S  S22  1  0.500  0.312  0.790  1.0
  S  S23  1  0.500  0.688  0.210  1.0
  S  S24  1  0.000  0.181  0.520  1.0
  S  S25  1  0.000  0.819  0.480  1.0
  S  S26  1  0.500  0.319  0.020  1.0
  S  S27  1  0.500  0.681  0.980  1.0
  S  S28  1  0.000  0.521  0.098  1.0
  S  S29  1  0.000  0.479  0.902  1.0
  S  S30  1  0.500  0.979  0.598  1.0
  S  S31  1  0.500  0.021  0.402  1.0
  S  S32  1  0.000  0.104  0.753  1.0
  S  S33  1  0.000  0.896  0.247  1.0
  S  S34  1  0.500  0.396  0.253  1.0
  S  S35  1  0.500  0.604  0.747  1.0
  S  S36  1  0.000  0.417  0.424  1.0
  S  S37  1  0.000  0.583  0.576  1.0
  S  S38  1  0.500  0.083  0.924  1.0
  S  S39  1  0.500  0.917  0.076  1.0
[/CIF]
.
The compound described by Ho3CrS6 crystallizes in the orthorhombic Pnnm space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded in a 8-coordinate geometry to one S(4), one S(6), two equivalent S(1), two equivalent S(2), and two equivalent S(5) atoms. In the second Ho site, Ho(2) is bonded in a 8-coordinate geometry to one S(4), one S(5), two equivalent S(2), two equivalent S(3), and two equivalent S(6) atoms. In the third Ho site, Ho(3) is bonded to one S(1), one S(2), one S(4), two equivalent S(3), and two equivalent S(5) atoms to form distorted HoS7 pentagonal bipyramids that share  a cornercorner with one Cr(2)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Ho(3)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 35°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two equivalent S(3) and four equivalent S(4) atoms to form CrS6 octahedra that share edges with two equivalent Cr(1)S6 octahedra and edges with four equivalent Ho(3)S7 pentagonal bipyramids. In the second Cr site, Cr(2) is bonded to two equivalent S(1) and four equivalent S(6) atoms to form CrS6 octahedra that share corners with two equivalent Ho(3)S7 pentagonal bipyramids and edges with two equivalent Cr(2)S6 octahedra. There are six inequivalent S sites. In the first S site, S(5) is bonded to one Ho(2), two equivalent Ho(1), and two equivalent Ho(3) atoms to form distorted SHo5 trigonal bipyramids that share  a cornercorner with one S(4)Ho3Cr2 trigonal bipyramid, corners with two equivalent S(2)Ho5 trigonal bipyramids, corners with four equivalent S(3)Ho4Cr trigonal bipyramids, corners with four equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(3)Ho4Cr trigonal bipyramid, edges with two equivalent S(4)Ho3Cr2 trigonal bipyramids, edges with two equivalent S(6)Ho3Cr2 trigonal bipyramids, edges with two equivalent S(5)Ho5 trigonal bipyramids, edges with three equivalent S(2)Ho5 trigonal bipyramids, and  an edgeedge with one S(1)Ho3Cr trigonal pyramid. In the second S site, S(6) is bonded to one Ho(1), two equivalent Ho(2), and two equivalent Cr(2) atoms to form distorted SHo3Cr2 trigonal bipyramids that share corners with two equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with two equivalent S(3)Ho4Cr trigonal bipyramids, corners with three equivalent S(4)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(2)Ho5 trigonal bipyramids, corners with two equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(3)Ho4Cr trigonal bipyramid,  an edgeedge with one S(2)Ho5 trigonal bipyramid, edges with two equivalent S(5)Ho5 trigonal bipyramids, edges with three equivalent S(6)Ho3Cr2 trigonal bipyramids, and edges with two equivalent S(1)Ho3Cr trigonal pyramids. In the third S site, S(1) is bonded to one Ho(3), two equivalent Ho(1), and one Cr(2) atom to form distorted SHo3Cr trigonal pyramids that share corners with two equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with two equivalent S(3)Ho4Cr trigonal bipyramids, corners with two equivalent S(2)Ho5 trigonal bipyramids, corners with three equivalent S(4)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(5)Ho5 trigonal bipyramids, corners with three equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(5)Ho5 trigonal bipyramid, edges with two equivalent S(6)Ho3Cr2 trigonal bipyramids, and  a faceface with one S(2)Ho5 trigonal bipyramid. In the fourth S site, S(2) is bonded to one Ho(3), two equivalent Ho(1), and two equivalent Ho(2) atoms to form distorted SHo5 trigonal bipyramids that share  a cornercorner with one S(4)Ho3Cr2 trigonal bipyramid, corners with two equivalent S(5)Ho5 trigonal bipyramids, corners with four equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(3)Ho4Cr trigonal bipyramids, corners with two equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(6)Ho3Cr2 trigonal bipyramid,  an edgeedge with one S(3)Ho4Cr trigonal bipyramid, edges with two equivalent S(4)Ho3Cr2 trigonal bipyramids, edges with two equivalent S(2)Ho5 trigonal bipyramids, edges with three equivalent S(5)Ho5 trigonal bipyramids, and  a faceface with one S(1)Ho3Cr trigonal pyramid. In the fifth S site, S(3) is bonded to two equivalent Ho(2), two equivalent Ho(3), and one Cr(1) atom to form distorted SHo4Cr trigonal bipyramids that share  a cornercorner with one S(3)Ho4Cr trigonal bipyramid, corners with two equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(2)Ho5 trigonal bipyramids, corners with four equivalent S(5)Ho5 trigonal bipyramids, corners with two equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(6)Ho3Cr2 trigonal bipyramid,  an edgeedge with one S(2)Ho5 trigonal bipyramid,  an edgeedge with one S(5)Ho5 trigonal bipyramid, edges with two equivalent S(3)Ho4Cr trigonal bipyramids, and edges with four equivalent S(4)Ho3Cr2 trigonal bipyramids. In the sixth S site, S(4) is bonded to one Ho(1), one Ho(2), one Ho(3), and two equivalent Cr(1) atoms to form distorted SHo3Cr2 trigonal bipyramids that share  a cornercorner with one S(2)Ho5 trigonal bipyramid,  a cornercorner with one S(5)Ho5 trigonal bipyramid, corners with three equivalent S(6)Ho3Cr2 trigonal bipyramids, corners with four equivalent S(4)Ho3Cr2 trigonal bipyramids, corners with three equivalent S(1)Ho3Cr trigonal pyramids,  an edgeedge with one S(4)Ho3Cr2 trigonal bipyramid, edges with two equivalent S(2)Ho5 trigonal bipyramids, edges with two equivalent S(5)Ho5 trigonal bipyramids, and edges with four equivalent S(3)Ho4Cr trigonal bipyramids. is represented by the CIF card [CIF]
data_Ho3CrS6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.745
_cell_length_b   13.244
_cell_length_c   15.895
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   788.361
_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
  Ho  Ho0  1  0.000  0.549  0.279  1.0
  Ho  Ho1  1  0.000  0.451  0.721  1.0
  Ho  Ho2  1  0.500  0.951  0.779  1.0
  Ho  Ho3  1  0.500  0.049  0.221  1.0
  Ho  Ho4  1  0.000  0.756  0.099  1.0
  Ho  Ho5  1  0.000  0.244  0.901  1.0
  Ho  Ho6  1  0.500  0.744  0.599  1.0
  Ho  Ho7  1  0.500  0.256  0.401  1.0
  Ho  Ho8  1  0.000  0.318  0.147  1.0
  Ho  Ho9  1  0.000  0.682  0.853  1.0
  Ho  Ho10  1  0.500  0.182  0.647  1.0
  Ho  Ho11  1  0.500  0.818  0.353  1.0
  Cr  Cr12  1  0.000  0.000  0.500  1.0
  Cr  Cr13  1  0.500  0.500  0.000  1.0
  Cr  Cr14  1  0.000  0.000  0.000  1.0
  Cr  Cr15  1  0.500  0.500  0.500  1.0
  S  S16  1  0.000  0.119  0.109  1.0
  S  S17  1  0.000  0.881  0.891  1.0
  S  S18  1  0.500  0.381  0.609  1.0
  S  S19  1  0.500  0.619  0.391  1.0
  S  S20  1  0.000  0.188  0.290  1.0
  S  S21  1  0.000  0.812  0.710  1.0
  S  S22  1  0.500  0.312  0.790  1.0
  S  S23  1  0.500  0.688  0.210  1.0
  S  S24  1  0.000  0.181  0.520  1.0
  S  S25  1  0.000  0.819  0.480  1.0
  S  S26  1  0.500  0.319  0.020  1.0
  S  S27  1  0.500  0.681  0.980  1.0
  S  S28  1  0.000  0.521  0.098  1.0
  S  S29  1  0.000  0.479  0.902  1.0
  S  S30  1  0.500  0.979  0.598  1.0
  S  S31  1  0.500  0.021  0.402  1.0
  S  S32  1  0.000  0.104  0.753  1.0
  S  S33  1  0.000  0.896  0.247  1.0
  S  S34  1  0.500  0.396  0.253  1.0
  S  S35  1  0.500  0.604  0.747  1.0
  S  S36  1  0.000  0.417  0.424  1.0
  S  S37  1  0.000  0.583  0.576  1.0
  S  S38  1  0.500  0.083  0.924  1.0
  S  S39  1  0.500  0.917  0.076  1.0
[/CIF]
.