The crystal structure described by NbCr3(AgS4)2 is Spinel-derived structured and crystallizes in the orthorhombic P222_1 space group. Nb(1) is bonded to two equivalent S(4) and four equivalent S(2) atoms to form NbS6 octahedra that share corners with two equivalent Ag(2)S4 tetrahedra, corners with four equivalent Ag(1)S4 tetrahedra, edges with two equivalent Nb(1)S6 octahedra, and edges with four equivalent Cr(1)S6 octahedra. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(1), one S(2), two equivalent S(3), and two equivalent S(4) atoms to form CrS6 octahedra that share corners with three equivalent Ag(1)S4 tetrahedra, corners with three equivalent Ag(2)S4 tetrahedra, edges with two equivalent Nb(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Cr(2)S6 octahedra. In the second Cr site, Cr(2) is bonded to two equivalent S(3) and four equivalent S(1) atoms to form CrS6 octahedra that share corners with two equivalent Ag(1)S4 tetrahedra, corners with four equivalent Ag(2)S4 tetrahedra, edges with two equivalent Cr(2)S6 octahedra, and edges with four equivalent Cr(1)S6 octahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to two equivalent S(2) and two equivalent S(3) atoms to form AgS4 tetrahedra that share corners with two equivalent Cr(2)S6 octahedra, corners with four equivalent Nb(1)S6 octahedra, and corners with six equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the second Ag site, Ag(2) is bonded to two equivalent S(1) and two equivalent S(4) atoms to form AgS4 tetrahedra that share corners with two equivalent Nb(1)S6 octahedra, corners with four equivalent Cr(2)S6 octahedra, and corners with six equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are four inequivalent S sites. In the first S site, S(1) is bonded to one Cr(1), two equivalent Cr(2), and one Ag(2) atom to form distorted SCr3Ag tetrahedra that share corners with two equivalent S(3)Cr3Ag tetrahedra, corners with five equivalent S(1)Cr3Ag tetrahedra, corners with four equivalent S(4)NbCr2Ag trigonal pyramids,  an edgeedge with one S(1)Cr3Ag tetrahedra, and edges with two equivalent S(3)Cr3Ag tetrahedra. In the second S site, S(2) is bonded in a rectangular see-saw-like geometry to two equivalent Nb(1), one Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded to one Cr(2), two equivalent Cr(1), and one Ag(1) atom to form distorted SCr3Ag tetrahedra that share corners with two equivalent S(1)Cr3Ag tetrahedra, corners with two equivalent S(3)Cr3Ag tetrahedra, corners with four equivalent S(4)NbCr2Ag trigonal pyramids,  an edgeedge with one S(3)Cr3Ag tetrahedra, and edges with two equivalent S(1)Cr3Ag tetrahedra. In the fourth S site, S(4) is bonded to one Nb(1), two equivalent Cr(1), and one Ag(2) atom to form distorted SNbCr2Ag trigonal pyramids that share corners with four equivalent S(1)Cr3Ag tetrahedra, corners with four equivalent S(3)Cr3Ag tetrahedra, corners with two equivalent S(4)NbCr2Ag trigonal pyramids, and  an edgeedge with one S(4)NbCr2Ag trigonal pyramid. is represented by the CIF file [CIF]
data_NbCr3(AgS4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.287
_cell_length_b   7.351
_cell_length_c   10.190
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   545.792
_cell_formula_units_Z   2
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
  Nb  Nb0  1  0.000  0.460  0.500  1.0
  Nb  Nb1  1  0.500  0.540  0.500  1.0
  Cr  Cr2  1  0.256  0.753  0.248  1.0
  Cr  Cr3  1  0.744  0.753  0.752  1.0
  Cr  Cr4  1  0.244  0.247  0.248  1.0
  Cr  Cr5  1  0.756  0.247  0.752  1.0
  Cr  Cr6  1  0.000  0.996  0.000  1.0
  Cr  Cr7  1  0.500  0.004  0.000  1.0
  Ag  Ag8  1  0.750  0.000  0.360  1.0
  Ag  Ag9  1  0.750  0.500  0.115  1.0
  Ag  Ag10  1  0.250  0.000  0.640  1.0
  Ag  Ag11  1  0.250  0.500  0.885  1.0
  S  S12  1  0.747  0.784  0.985  1.0
  S  S13  1  0.238  0.733  0.491  1.0
  S  S14  1  0.738  0.267  0.509  1.0
  S  S15  1  0.247  0.216  0.015  1.0
  S  S16  1  0.036  0.995  0.235  1.0
  S  S17  1  0.971  0.505  0.740  1.0
  S  S18  1  0.536  0.005  0.765  1.0
  S  S19  1  0.471  0.495  0.260  1.0
  S  S20  1  0.262  0.267  0.491  1.0
  S  S21  1  0.753  0.216  0.985  1.0
  S  S22  1  0.253  0.784  0.015  1.0
  S  S23  1  0.762  0.733  0.509  1.0
  S  S24  1  0.529  0.495  0.740  1.0
  S  S25  1  0.464  0.005  0.235  1.0
  S  S26  1  0.029  0.505  0.260  1.0
  S  S27  1  0.964  0.995  0.765  1.0
[/CIF]
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The crystal structure described by NbCr3(AgS4)2 is Spinel-derived structured and crystallizes in the orthorhombic P222_1 space group. Nb(1) is bonded to two equivalent S(4) and four equivalent S(2) atoms to form NbS6 octahedra that share corners with two equivalent Ag(2)S4 tetrahedra, corners with four equivalent Ag(1)S4 tetrahedra, edges with two equivalent Nb(1)S6 octahedra, and edges with four equivalent Cr(1)S6 octahedra. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(1), one S(2), two equivalent S(3), and two equivalent S(4) atoms to form CrS6 octahedra that share corners with three equivalent Ag(1)S4 tetrahedra, corners with three equivalent Ag(2)S4 tetrahedra, edges with two equivalent Nb(1)S6 octahedra, edges with two equivalent Cr(1)S6 octahedra, and edges with two equivalent Cr(2)S6 octahedra. In the second Cr site, Cr(2) is bonded to two equivalent S(3) and four equivalent S(1) atoms to form CrS6 octahedra that share corners with two equivalent Ag(1)S4 tetrahedra, corners with four equivalent Ag(2)S4 tetrahedra, edges with two equivalent Cr(2)S6 octahedra, and edges with four equivalent Cr(1)S6 octahedra. There are two inequivalent Ag sites. In the first Ag site, Ag(1) is bonded to two equivalent S(2) and two equivalent S(3) atoms to form AgS4 tetrahedra that share corners with two equivalent Cr(2)S6 octahedra, corners with four equivalent Nb(1)S6 octahedra, and corners with six equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 53-65°. In the second Ag site, Ag(2) is bonded to two equivalent S(1) and two equivalent S(4) atoms to form AgS4 tetrahedra that share corners with two equivalent Nb(1)S6 octahedra, corners with four equivalent Cr(2)S6 octahedra, and corners with six equivalent Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 57-63°. There are four inequivalent S sites. In the first S site, S(1) is bonded to one Cr(1), two equivalent Cr(2), and one Ag(2) atom to form distorted SCr3Ag tetrahedra that share corners with two equivalent S(3)Cr3Ag tetrahedra, corners with five equivalent S(1)Cr3Ag tetrahedra, corners with four equivalent S(4)NbCr2Ag trigonal pyramids,  an edgeedge with one S(1)Cr3Ag tetrahedra, and edges with two equivalent S(3)Cr3Ag tetrahedra. In the second S site, S(2) is bonded in a rectangular see-saw-like geometry to two equivalent Nb(1), one Cr(1), and one Ag(1) atom. In the third S site, S(3) is bonded to one Cr(2), two equivalent Cr(1), and one Ag(1) atom to form distorted SCr3Ag tetrahedra that share corners with two equivalent S(1)Cr3Ag tetrahedra, corners with two equivalent S(3)Cr3Ag tetrahedra, corners with four equivalent S(4)NbCr2Ag trigonal pyramids,  an edgeedge with one S(3)Cr3Ag tetrahedra, and edges with two equivalent S(1)Cr3Ag tetrahedra. In the fourth S site, S(4) is bonded to one Nb(1), two equivalent Cr(1), and one Ag(2) atom to form distorted SNbCr2Ag trigonal pyramids that share corners with four equivalent S(1)Cr3Ag tetrahedra, corners with four equivalent S(3)Cr3Ag tetrahedra, corners with two equivalent S(4)NbCr2Ag trigonal pyramids, and  an edgeedge with one S(4)NbCr2Ag trigonal pyramid. is represented by the CIF file [CIF]
data_NbCr3(AgS4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.287
_cell_length_b   7.351
_cell_length_c   10.190
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   545.792
_cell_formula_units_Z   2
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
  Nb  Nb0  1  0.000  0.460  0.500  1.0
  Nb  Nb1  1  0.500  0.540  0.500  1.0
  Cr  Cr2  1  0.256  0.753  0.248  1.0
  Cr  Cr3  1  0.744  0.753  0.752  1.0
  Cr  Cr4  1  0.244  0.247  0.248  1.0
  Cr  Cr5  1  0.756  0.247  0.752  1.0
  Cr  Cr6  1  0.000  0.996  0.000  1.0
  Cr  Cr7  1  0.500  0.004  0.000  1.0
  Ag  Ag8  1  0.750  0.000  0.360  1.0
  Ag  Ag9  1  0.750  0.500  0.115  1.0
  Ag  Ag10  1  0.250  0.000  0.640  1.0
  Ag  Ag11  1  0.250  0.500  0.885  1.0
  S  S12  1  0.747  0.784  0.985  1.0
  S  S13  1  0.238  0.733  0.491  1.0
  S  S14  1  0.738  0.267  0.509  1.0
  S  S15  1  0.247  0.216  0.015  1.0
  S  S16  1  0.036  0.995  0.235  1.0
  S  S17  1  0.971  0.505  0.740  1.0
  S  S18  1  0.536  0.005  0.765  1.0
  S  S19  1  0.471  0.495  0.260  1.0
  S  S20  1  0.262  0.267  0.491  1.0
  S  S21  1  0.753  0.216  0.985  1.0
  S  S22  1  0.253  0.784  0.015  1.0
  S  S23  1  0.762  0.733  0.509  1.0
  S  S24  1  0.529  0.495  0.740  1.0
  S  S25  1  0.464  0.005  0.235  1.0
  S  S26  1  0.029  0.505  0.260  1.0
  S  S27  1  0.964  0.995  0.765  1.0
[/CIF]
.