The compound described by Cr13Mn2S20 crystallizes in the triclinic P-1 space group. There are seven inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(10), one S(2), one S(4), one S(9), and two equivalent S(3) atoms to form CrS6 octahedra that share corners with two equivalent Cr(3)S6 octahedra, corners with two equivalent Cr(6)S6 octahedra, corners with two equivalent Cr(7)S6 octahedra, corners with three equivalent Cr(4)S6 octahedra, corners with three equivalent Cr(5)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Mn(1)S6 octahedra,  a faceface with one Cr(3)S6 octahedra, and  a faceface with one Cr(6)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the second Cr site, Cr(2) is bonded to two equivalent S(1), two equivalent S(5), and two equivalent S(7) atoms to form CrS6 octahedra that share corners with two equivalent Cr(3)S6 octahedra, corners with two equivalent Cr(6)S6 octahedra, corners with four equivalent Cr(4)S6 octahedra, corners with four equivalent Cr(5)S6 octahedra, edges with two equivalent Mn(1)S6 octahedra, and faces with two equivalent Cr(7)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the third Cr site, Cr(3) is bonded to one S(2), one S(3), one S(5), one S(6), and two equivalent S(10) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with three equivalent Mn(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(4)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra,  an edgeedge with one Cr(7)S6 octahedra, edges with two equivalent Cr(5)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the fourth Cr site, Cr(4) is bonded to one S(3), one S(4), one S(5), one S(7), and two equivalent S(8) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Mn(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra, corners with three equivalent Cr(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(4)S6 octahedra, edges with two equivalent Cr(6)S6 octahedra, edges with two equivalent Cr(7)S6 octahedra, and  a faceface with one Mn(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the fifth Cr site, Cr(5) is bonded to one S(10), one S(2), one S(6), one S(9), and two equivalent S(1) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Mn(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra, corners with three equivalent Cr(1)S6 octahedra,  an edgeedge with one Cr(5)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, edges with two equivalent Cr(7)S6 octahedra, and  a faceface with one Mn(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-55°. In the sixth Cr site, Cr(6) is bonded to one S(3), one S(6), one S(7), one S(9), and two equivalent S(4) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with three equivalent Mn(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(5)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra,  an edgeedge with one Cr(7)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the seventh Cr site, Cr(7) is bonded to one S(1), one S(2), one S(5), one S(7), one S(8), and one S(9) atom to form distorted CrS6 octahedra that share corners with two equivalent Cr(1)S6 octahedra, corners with four equivalent Mn(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, edges with two equivalent Cr(5)S6 octahedra, and  a faceface with one Cr(2)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-55°. Mn(1) is bonded to one S(1), one S(2), one S(4), one S(5), one S(6), and one S(8) atom to form MnS6 octahedra that share  a cornercorner with one Cr(4)S6 octahedra,  a cornercorner with one Cr(5)S6 octahedra, corners with three equivalent Cr(3)S6 octahedra, corners with three equivalent Cr(6)S6 octahedra, corners with four equivalent Cr(7)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra,  a faceface with one Cr(4)S6 octahedra, and  a faceface with one Cr(5)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-55°. There are ten inequivalent S sites. In the first S site, S(1) is bonded in a 5-coordinate geometry to one Cr(2), one Cr(7), two equivalent Cr(5), and one Mn(1) atom. In the second S site, S(2) is bonded in a 5-coordinate geometry to one Cr(1), one Cr(3), one Cr(5), one Cr(7), and one Mn(1) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to one Cr(3), one Cr(4), one Cr(6), and two equivalent Cr(1) atoms. In the fourth S site, S(4) is bonded in a 5-coordinate geometry to one Cr(1), one Cr(4), two equivalent Cr(6), and one Mn(1) atom. In the fifth S site, S(5) is bonded in a 5-coordinate geometry to one Cr(2), one Cr(3), one Cr(4), one Cr(7), and one Mn(1) atom. In the sixth S site, S(6) is bonded in a distorted rectangular see-saw-like geometry to one Cr(3), one Cr(5), one Cr(6), and one Mn(1) atom. In the seventh S site, S(7) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), one Cr(4), one Cr(6), and one Cr(7) atom. In the eighth S site, S(8) is bonded in a distorted rectangular see-saw-like geometry to one Cr(7), two equivalent Cr(4), and one Mn(1) atom. In the ninth S site, S(9) is bonded in a distorted rectangular see-saw-like geometry to one Cr(1), one Cr(5), one Cr(6), and one Cr(7) atom. In the tenth S site, S(10) is bonded in a distorted rectangular see-saw-like geometry to one Cr(1), one Cr(5), and two equivalent Cr(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mn2Cr13S20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.944
_cell_length_b   8.108
_cell_length_c   8.768
_cell_angle_alpha   102.401
_cell_angle_beta   104.955
_cell_angle_gamma   88.610
_symmetry_Int_Tables_number   1
_cell_volume   532.638
_cell_formula_units_Z   1
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
  Mn  Mn0  1  0.300  0.300  0.701  1.0
  Mn  Mn1  1  0.700  0.700  0.299  1.0
  Cr  Cr2  1  0.101  0.101  0.899  1.0
  Cr  Cr3  1  0.500  0.500  0.500  1.0
  Cr  Cr4  1  0.899  0.899  0.101  1.0
  Cr  Cr5  1  0.135  0.620  0.065  1.0
  Cr  Cr6  1  0.536  0.019  0.665  1.0
  Cr  Cr7  1  0.936  0.419  0.266  1.0
  Cr  Cr8  1  0.335  0.819  0.866  1.0
  Cr  Cr9  1  0.734  0.219  0.466  1.0
  Cr  Cr10  1  0.064  0.581  0.734  1.0
  Cr  Cr11  1  0.464  0.981  0.335  1.0
  Cr  Cr12  1  0.865  0.380  0.935  1.0
  Cr  Cr13  1  0.266  0.781  0.534  1.0
  Cr  Cr14  1  0.665  0.181  0.134  1.0
  S  S15  1  0.195  0.483  0.504  1.0
  S  S16  1  0.990  0.281  0.708  1.0
  S  S17  1  0.797  0.078  0.906  1.0
  S  S18  1  0.592  0.884  0.105  1.0
  S  S19  1  0.391  0.680  0.306  1.0
  S  S20  1  0.609  0.320  0.694  1.0
  S  S21  1  0.408  0.116  0.895  1.0
  S  S22  1  0.203  0.922  0.094  1.0
  S  S23  1  0.010  0.719  0.292  1.0
  S  S24  1  0.805  0.517  0.496  1.0
  S  S25  1  0.677  0.449  0.094  1.0
  S  S26  1  0.476  0.249  0.293  1.0
  S  S27  1  0.277  0.049  0.496  1.0
  S  S28  1  0.077  0.850  0.693  1.0
  S  S29  1  0.875  0.649  0.895  1.0
  S  S30  1  0.125  0.351  0.105  1.0
  S  S31  1  0.923  0.150  0.307  1.0
  S  S32  1  0.723  0.951  0.504  1.0
  S  S33  1  0.524  0.751  0.707  1.0
  S  S34  1  0.323  0.551  0.906  1.0
[/CIF]
.
The compound described by Cr13Mn2S20 crystallizes in the triclinic P-1 space group. There are seven inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one S(10), one S(2), one S(4), one S(9), and two equivalent S(3) atoms to form CrS6 octahedra that share corners with two equivalent Cr(3)S6 octahedra, corners with two equivalent Cr(6)S6 octahedra, corners with two equivalent Cr(7)S6 octahedra, corners with three equivalent Cr(4)S6 octahedra, corners with three equivalent Cr(5)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Mn(1)S6 octahedra,  a faceface with one Cr(3)S6 octahedra, and  a faceface with one Cr(6)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the second Cr site, Cr(2) is bonded to two equivalent S(1), two equivalent S(5), and two equivalent S(7) atoms to form CrS6 octahedra that share corners with two equivalent Cr(3)S6 octahedra, corners with two equivalent Cr(6)S6 octahedra, corners with four equivalent Cr(4)S6 octahedra, corners with four equivalent Cr(5)S6 octahedra, edges with two equivalent Mn(1)S6 octahedra, and faces with two equivalent Cr(7)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the third Cr site, Cr(3) is bonded to one S(2), one S(3), one S(5), one S(6), and two equivalent S(10) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with three equivalent Mn(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(4)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra,  an edgeedge with one Cr(7)S6 octahedra, edges with two equivalent Cr(5)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the fourth Cr site, Cr(4) is bonded to one S(3), one S(4), one S(5), one S(7), and two equivalent S(8) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Mn(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra, corners with three equivalent Cr(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(4)S6 octahedra, edges with two equivalent Cr(6)S6 octahedra, edges with two equivalent Cr(7)S6 octahedra, and  a faceface with one Mn(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the fifth Cr site, Cr(5) is bonded to one S(10), one S(2), one S(6), one S(9), and two equivalent S(1) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Mn(1)S6 octahedra, corners with two equivalent Cr(2)S6 octahedra, corners with three equivalent Cr(1)S6 octahedra,  an edgeedge with one Cr(5)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra, edges with two equivalent Cr(3)S6 octahedra, edges with two equivalent Cr(7)S6 octahedra, and  a faceface with one Mn(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-55°. In the sixth Cr site, Cr(6) is bonded to one S(3), one S(6), one S(7), one S(9), and two equivalent S(4) atoms to form distorted CrS6 octahedra that share  a cornercorner with one Cr(2)S6 octahedra, corners with two equivalent Cr(1)S6 octahedra, corners with three equivalent Mn(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(5)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra,  an edgeedge with one Cr(7)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, and  a faceface with one Cr(1)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-55°. In the seventh Cr site, Cr(7) is bonded to one S(1), one S(2), one S(5), one S(7), one S(8), and one S(9) atom to form distorted CrS6 octahedra that share corners with two equivalent Cr(1)S6 octahedra, corners with four equivalent Mn(1)S6 octahedra,  an edgeedge with one Cr(3)S6 octahedra,  an edgeedge with one Cr(6)S6 octahedra, edges with two equivalent Cr(4)S6 octahedra, edges with two equivalent Cr(5)S6 octahedra, and  a faceface with one Cr(2)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-55°. Mn(1) is bonded to one S(1), one S(2), one S(4), one S(5), one S(6), and one S(8) atom to form MnS6 octahedra that share  a cornercorner with one Cr(4)S6 octahedra,  a cornercorner with one Cr(5)S6 octahedra, corners with three equivalent Cr(3)S6 octahedra, corners with three equivalent Cr(6)S6 octahedra, corners with four equivalent Cr(7)S6 octahedra,  an edgeedge with one Cr(1)S6 octahedra,  an edgeedge with one Cr(2)S6 octahedra,  a faceface with one Cr(4)S6 octahedra, and  a faceface with one Cr(5)S6 octahedra. The corner-sharing octahedral tilt angles range from 52-55°. There are ten inequivalent S sites. In the first S site, S(1) is bonded in a 5-coordinate geometry to one Cr(2), one Cr(7), two equivalent Cr(5), and one Mn(1) atom. In the second S site, S(2) is bonded in a 5-coordinate geometry to one Cr(1), one Cr(3), one Cr(5), one Cr(7), and one Mn(1) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to one Cr(3), one Cr(4), one Cr(6), and two equivalent Cr(1) atoms. In the fourth S site, S(4) is bonded in a 5-coordinate geometry to one Cr(1), one Cr(4), two equivalent Cr(6), and one Mn(1) atom. In the fifth S site, S(5) is bonded in a 5-coordinate geometry to one Cr(2), one Cr(3), one Cr(4), one Cr(7), and one Mn(1) atom. In the sixth S site, S(6) is bonded in a distorted rectangular see-saw-like geometry to one Cr(3), one Cr(5), one Cr(6), and one Mn(1) atom. In the seventh S site, S(7) is bonded in a distorted rectangular see-saw-like geometry to one Cr(2), one Cr(4), one Cr(6), and one Cr(7) atom. In the eighth S site, S(8) is bonded in a distorted rectangular see-saw-like geometry to one Cr(7), two equivalent Cr(4), and one Mn(1) atom. In the ninth S site, S(9) is bonded in a distorted rectangular see-saw-like geometry to one Cr(1), one Cr(5), one Cr(6), and one Cr(7) atom. In the tenth S site, S(10) is bonded in a distorted rectangular see-saw-like geometry to one Cr(1), one Cr(5), and two equivalent Cr(3) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_Mn2Cr13S20
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.944
_cell_length_b   8.108
_cell_length_c   8.768
_cell_angle_alpha   102.401
_cell_angle_beta   104.955
_cell_angle_gamma   88.610
_symmetry_Int_Tables_number   1
_cell_volume   532.638
_cell_formula_units_Z   1
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
  Mn  Mn0  1  0.300  0.300  0.701  1.0
  Mn  Mn1  1  0.700  0.700  0.299  1.0
  Cr  Cr2  1  0.101  0.101  0.899  1.0
  Cr  Cr3  1  0.500  0.500  0.500  1.0
  Cr  Cr4  1  0.899  0.899  0.101  1.0
  Cr  Cr5  1  0.135  0.620  0.065  1.0
  Cr  Cr6  1  0.536  0.019  0.665  1.0
  Cr  Cr7  1  0.936  0.419  0.266  1.0
  Cr  Cr8  1  0.335  0.819  0.866  1.0
  Cr  Cr9  1  0.734  0.219  0.466  1.0
  Cr  Cr10  1  0.064  0.581  0.734  1.0
  Cr  Cr11  1  0.464  0.981  0.335  1.0
  Cr  Cr12  1  0.865  0.380  0.935  1.0
  Cr  Cr13  1  0.266  0.781  0.534  1.0
  Cr  Cr14  1  0.665  0.181  0.134  1.0
  S  S15  1  0.195  0.483  0.504  1.0
  S  S16  1  0.990  0.281  0.708  1.0
  S  S17  1  0.797  0.078  0.906  1.0
  S  S18  1  0.592  0.884  0.105  1.0
  S  S19  1  0.391  0.680  0.306  1.0
  S  S20  1  0.609  0.320  0.694  1.0
  S  S21  1  0.408  0.116  0.895  1.0
  S  S22  1  0.203  0.922  0.094  1.0
  S  S23  1  0.010  0.719  0.292  1.0
  S  S24  1  0.805  0.517  0.496  1.0
  S  S25  1  0.677  0.449  0.094  1.0
  S  S26  1  0.476  0.249  0.293  1.0
  S  S27  1  0.277  0.049  0.496  1.0
  S  S28  1  0.077  0.850  0.693  1.0
  S  S29  1  0.875  0.649  0.895  1.0
  S  S30  1  0.125  0.351  0.105  1.0
  S  S31  1  0.923  0.150  0.307  1.0
  S  S32  1  0.723  0.951  0.504  1.0
  S  S33  1  0.524  0.751  0.707  1.0
  S  S34  1  0.323  0.551  0.906  1.0
[/CIF]
.