The crystal structure described by MnZn3(CrSe2)8 is Spinel-derived structured and crystallizes in the trigonal R3m space group. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three equivalent Se(3) and three equivalent Se(7) atoms to form CrSe6 octahedra that share corners with three equivalent Mn(1)Se4 tetrahedra, corners with three equivalent Zn(2)Se4 tetrahedra, edges with three equivalent Cr(3)Se6 octahedra, and edges with three equivalent Cr(4)Se6 octahedra. In the second Cr site, Cr(2) is bonded to three equivalent Se(4) and three equivalent Se(8) atoms to form CrSe6 octahedra that share corners with six equivalent Zn(1,3)Se4 tetrahedra; edges with three equivalent Cr(3)Se6 octahedra; and edges with three equivalent Cr(4)Se6 octahedra. In the third Cr site, Cr(3) is bonded to one Se(2), one Se(5), two equivalent Se(3), and two equivalent Se(8) atoms to form CrSe6 octahedra that share  a cornercorner with one Zn(2)Se4 tetrahedra; corners with two equivalent Mn(1)Se4 tetrahedra; corners with three equivalent Zn(1,3)Se4 tetrahedra;  an edgeedge with one Cr(1)Se6 octahedra;  an edgeedge with one Cr(2)Se6 octahedra; and edges with four equivalent Cr(3)Se6 octahedra. In the fourth Cr site, Cr(4) is bonded to one Se(1), one Se(6), two equivalent Se(4), and two equivalent Se(7) atoms to form CrSe6 octahedra that share  a cornercorner with one Mn(1)Se4 tetrahedra; corners with two equivalent Zn(2)Se4 tetrahedra; corners with three equivalent Zn(1,3)Se4 tetrahedra;  an edgeedge with one Cr(1)Se6 octahedra;  an edgeedge with one Cr(2)Se6 octahedra; and edges with four equivalent Cr(4)Se6 octahedra. Mn(1) is bonded to one Se(1) and three equivalent Se(3) atoms to form MnSe4 tetrahedra that share corners with three equivalent Cr(1)Se6 octahedra, corners with three equivalent Cr(4)Se6 octahedra, and corners with six equivalent Cr(3)Se6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are two inequivalent Zn sites. In the first Zn site, Zn(1,3) is bonded to one Se(2) and three equivalent Se(4) atoms to form ZnSe4 tetrahedra that share corners with three equivalent Cr(2)Se6 octahedra, corners with three equivalent Cr(3)Se6 octahedra, and corners with six equivalent Cr(4)Se6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the second Zn site, Zn(2) is bonded to one Se(5) and three equivalent Se(7) atoms to form ZnSe4 tetrahedra that share corners with three equivalent Cr(1)Se6 octahedra, corners with three equivalent Cr(3)Se6 octahedra, and corners with six equivalent Cr(4)Se6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are eight inequivalent Se sites. In the first Se site, Se(1) is bonded to three equivalent Cr(4) and one Mn(1) atom to form distorted SeMnCr3 trigonal pyramids that share corners with three equivalent Se(3)MnCr3 trigonal pyramids, corners with three equivalent Se(6)ZnCr3 trigonal pyramids, corners with six equivalent Se(7)ZnCr3 trigonal pyramids, and edges with three equivalent Se(4)ZnCr3 trigonal pyramids. In the second Se site, Se(2) is bonded to three equivalent Cr(3) and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share corners with three equivalent Se(4)ZnCr3 trigonal pyramids, corners with three equivalent Se(5)ZnCr3 trigonal pyramids, corners with six equivalent Se(8)ZnCr3 trigonal pyramids, and edges with three equivalent Se(3)MnCr3 trigonal pyramids. In the third Se site, Se(3) is bonded to one Cr(1), two equivalent Cr(3), and one Mn(1) atom to form distorted SeMnCr3 trigonal pyramids that share  a cornercorner with one Se(1)MnCr3 trigonal pyramid, corners with two equivalent Se(3)MnCr3 trigonal pyramids, corners with two equivalent Se(5)ZnCr3 trigonal pyramids, corners with three equivalent Se(7)ZnCr3 trigonal pyramids, corners with four equivalent Se(8)ZnCr3 trigonal pyramids,  an edgeedge with one Se(2)ZnCr3 trigonal pyramid, and edges with two equivalent Se(3)MnCr3 trigonal pyramids. In the fourth Se site, Se(4) is bonded to one Cr(2); two equivalent Cr(4); and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share  a cornercorner with one Se(2)ZnCr3 trigonal pyramid, corners with two equivalent Se(4)ZnCr3 trigonal pyramids, corners with two equivalent Se(6)ZnCr3 trigonal pyramids, corners with three equivalent Se(8)ZnCr3 trigonal pyramids, corners with four equivalent Se(7)ZnCr3 trigonal pyramids,  an edgeedge with one Se(1)MnCr3 trigonal pyramid, and edges with two equivalent Se(4)ZnCr3 trigonal pyramids. In the fifth Se site, Se(5) is bonded to three equivalent Cr(3) and one Zn(2) atom to form distorted SeZnCr3 trigonal pyramids that share corners with three equivalent Se(2)ZnCr3 trigonal pyramids, corners with three equivalent Se(7)ZnCr3 trigonal pyramids, corners with six equivalent Se(3)MnCr3 trigonal pyramids, and edges with three equivalent Se(8)ZnCr3 trigonal pyramids. In the sixth Se site, Se(6) is bonded to three equivalent Cr(4) and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share corners with three equivalent Se(1)MnCr3 trigonal pyramids, corners with three equivalent Se(8)ZnCr3 trigonal pyramids, corners with six equivalent Se(4)ZnCr3 trigonal pyramids, and edges with three equivalent Se(7)ZnCr3 trigonal pyramids. In the seventh Se site, Se(7) is bonded to one Cr(1), two equivalent Cr(4), and one Zn(2) atom to form distorted SeZnCr3 trigonal pyramids that share  a cornercorner with one Se(5)ZnCr3 trigonal pyramid, corners with two equivalent Se(1)MnCr3 trigonal pyramids, corners with two equivalent Se(7)ZnCr3 trigonal pyramids, corners with three equivalent Se(3)MnCr3 trigonal pyramids, corners with four equivalent Se(4)ZnCr3 trigonal pyramids,  an edgeedge with one Se(6)ZnCr3 trigonal pyramid, and edges with two equivalent Se(7)ZnCr3 trigonal pyramids. In the eighth Se site, Se(8) is bonded to one Cr(2); two equivalent Cr(3); and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share  a cornercorner with one Se(6)ZnCr3 trigonal pyramid, corners with two equivalent Se(2)ZnCr3 trigonal pyramids, corners with two equivalent Se(8)ZnCr3 trigonal pyramids, corners with three equivalent Se(4)ZnCr3 trigonal pyramids, corners with four equivalent Se(3)MnCr3 trigonal pyramids,  an edgeedge with one Se(5)ZnCr3 trigonal pyramid, and edges with two equivalent Se(8)ZnCr3 trigonal pyramids. is represented by the CIF file [CIF]
data_MnZn3(CrSe2)8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   13.013
_cell_length_b   13.013
_cell_length_c   13.013
_cell_angle_alpha   33.576
_cell_angle_beta   33.576
_cell_angle_gamma   33.576
_symmetry_Int_Tables_number   1
_cell_volume   600.391
_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  0.437  0.437  0.437  1.0
  Zn  Zn1  1  0.938  0.938  0.938  1.0
  Zn  Zn2  1  0.062  0.062  0.062  1.0
  Zn  Zn3  1  0.563  0.563  0.563  1.0
  Cr  Cr4  1  0.750  0.750  0.750  1.0
  Cr  Cr5  1  0.250  0.250  0.250  1.0
  Cr  Cr6  1  0.000  0.000  0.500  1.0
  Cr  Cr7  1  0.500  0.500  1.000  1.0
  Cr  Cr8  1  0.000  0.500  0.000  1.0
  Cr  Cr9  1  0.500  1.000  0.500  1.0
  Cr  Cr10  1  0.500  0.000  0.000  1.0
  Cr  Cr11  1  1.000  0.500  0.500  1.0
  Se  Se12  1  0.370  0.370  0.370  1.0
  Se  Se13  1  0.870  0.870  0.870  1.0
  Se  Se14  1  0.640  0.640  0.100  1.0
  Se  Se15  1  0.140  0.140  0.599  1.0
  Se  Se16  1  0.640  0.100  0.640  1.0
  Se  Se17  1  0.140  0.599  0.140  1.0
  Se  Se18  1  0.100  0.640  0.640  1.0
  Se  Se19  1  0.599  0.140  0.140  1.0
  Se  Se20  1  0.130  0.130  0.130  1.0
  Se  Se21  1  0.630  0.630  0.630  1.0
  Se  Se22  1  0.860  0.860  0.400  1.0
  Se  Se23  1  0.360  0.360  0.900  1.0
  Se  Se24  1  0.860  0.400  0.860  1.0
  Se  Se25  1  0.360  0.900  0.360  1.0
  Se  Se26  1  0.400  0.860  0.860  1.0
  Se  Se27  1  0.900  0.360  0.360  1.0
[/CIF]
.
The crystal structure described by MnZn3(CrSe2)8 is Spinel-derived structured and crystallizes in the trigonal R3m space group. There are four inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to three equivalent Se(3) and three equivalent Se(7) atoms to form CrSe6 octahedra that share corners with three equivalent Mn(1)Se4 tetrahedra, corners with three equivalent Zn(2)Se4 tetrahedra, edges with three equivalent Cr(3)Se6 octahedra, and edges with three equivalent Cr(4)Se6 octahedra. In the second Cr site, Cr(2) is bonded to three equivalent Se(4) and three equivalent Se(8) atoms to form CrSe6 octahedra that share corners with six equivalent Zn(1,3)Se4 tetrahedra; edges with three equivalent Cr(3)Se6 octahedra; and edges with three equivalent Cr(4)Se6 octahedra. In the third Cr site, Cr(3) is bonded to one Se(2), one Se(5), two equivalent Se(3), and two equivalent Se(8) atoms to form CrSe6 octahedra that share  a cornercorner with one Zn(2)Se4 tetrahedra; corners with two equivalent Mn(1)Se4 tetrahedra; corners with three equivalent Zn(1,3)Se4 tetrahedra;  an edgeedge with one Cr(1)Se6 octahedra;  an edgeedge with one Cr(2)Se6 octahedra; and edges with four equivalent Cr(3)Se6 octahedra. In the fourth Cr site, Cr(4) is bonded to one Se(1), one Se(6), two equivalent Se(4), and two equivalent Se(7) atoms to form CrSe6 octahedra that share  a cornercorner with one Mn(1)Se4 tetrahedra; corners with two equivalent Zn(2)Se4 tetrahedra; corners with three equivalent Zn(1,3)Se4 tetrahedra;  an edgeedge with one Cr(1)Se6 octahedra;  an edgeedge with one Cr(2)Se6 octahedra; and edges with four equivalent Cr(4)Se6 octahedra. Mn(1) is bonded to one Se(1) and three equivalent Se(3) atoms to form MnSe4 tetrahedra that share corners with three equivalent Cr(1)Se6 octahedra, corners with three equivalent Cr(4)Se6 octahedra, and corners with six equivalent Cr(3)Se6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are two inequivalent Zn sites. In the first Zn site, Zn(1,3) is bonded to one Se(2) and three equivalent Se(4) atoms to form ZnSe4 tetrahedra that share corners with three equivalent Cr(2)Se6 octahedra, corners with three equivalent Cr(3)Se6 octahedra, and corners with six equivalent Cr(4)Se6 octahedra. The corner-sharing octahedral tilt angles are 58°. In the second Zn site, Zn(2) is bonded to one Se(5) and three equivalent Se(7) atoms to form ZnSe4 tetrahedra that share corners with three equivalent Cr(1)Se6 octahedra, corners with three equivalent Cr(3)Se6 octahedra, and corners with six equivalent Cr(4)Se6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are eight inequivalent Se sites. In the first Se site, Se(1) is bonded to three equivalent Cr(4) and one Mn(1) atom to form distorted SeMnCr3 trigonal pyramids that share corners with three equivalent Se(3)MnCr3 trigonal pyramids, corners with three equivalent Se(6)ZnCr3 trigonal pyramids, corners with six equivalent Se(7)ZnCr3 trigonal pyramids, and edges with three equivalent Se(4)ZnCr3 trigonal pyramids. In the second Se site, Se(2) is bonded to three equivalent Cr(3) and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share corners with three equivalent Se(4)ZnCr3 trigonal pyramids, corners with three equivalent Se(5)ZnCr3 trigonal pyramids, corners with six equivalent Se(8)ZnCr3 trigonal pyramids, and edges with three equivalent Se(3)MnCr3 trigonal pyramids. In the third Se site, Se(3) is bonded to one Cr(1), two equivalent Cr(3), and one Mn(1) atom to form distorted SeMnCr3 trigonal pyramids that share  a cornercorner with one Se(1)MnCr3 trigonal pyramid, corners with two equivalent Se(3)MnCr3 trigonal pyramids, corners with two equivalent Se(5)ZnCr3 trigonal pyramids, corners with three equivalent Se(7)ZnCr3 trigonal pyramids, corners with four equivalent Se(8)ZnCr3 trigonal pyramids,  an edgeedge with one Se(2)ZnCr3 trigonal pyramid, and edges with two equivalent Se(3)MnCr3 trigonal pyramids. In the fourth Se site, Se(4) is bonded to one Cr(2); two equivalent Cr(4); and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share  a cornercorner with one Se(2)ZnCr3 trigonal pyramid, corners with two equivalent Se(4)ZnCr3 trigonal pyramids, corners with two equivalent Se(6)ZnCr3 trigonal pyramids, corners with three equivalent Se(8)ZnCr3 trigonal pyramids, corners with four equivalent Se(7)ZnCr3 trigonal pyramids,  an edgeedge with one Se(1)MnCr3 trigonal pyramid, and edges with two equivalent Se(4)ZnCr3 trigonal pyramids. In the fifth Se site, Se(5) is bonded to three equivalent Cr(3) and one Zn(2) atom to form distorted SeZnCr3 trigonal pyramids that share corners with three equivalent Se(2)ZnCr3 trigonal pyramids, corners with three equivalent Se(7)ZnCr3 trigonal pyramids, corners with six equivalent Se(3)MnCr3 trigonal pyramids, and edges with three equivalent Se(8)ZnCr3 trigonal pyramids. In the sixth Se site, Se(6) is bonded to three equivalent Cr(4) and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share corners with three equivalent Se(1)MnCr3 trigonal pyramids, corners with three equivalent Se(8)ZnCr3 trigonal pyramids, corners with six equivalent Se(4)ZnCr3 trigonal pyramids, and edges with three equivalent Se(7)ZnCr3 trigonal pyramids. In the seventh Se site, Se(7) is bonded to one Cr(1), two equivalent Cr(4), and one Zn(2) atom to form distorted SeZnCr3 trigonal pyramids that share  a cornercorner with one Se(5)ZnCr3 trigonal pyramid, corners with two equivalent Se(1)MnCr3 trigonal pyramids, corners with two equivalent Se(7)ZnCr3 trigonal pyramids, corners with three equivalent Se(3)MnCr3 trigonal pyramids, corners with four equivalent Se(4)ZnCr3 trigonal pyramids,  an edgeedge with one Se(6)ZnCr3 trigonal pyramid, and edges with two equivalent Se(7)ZnCr3 trigonal pyramids. In the eighth Se site, Se(8) is bonded to one Cr(2); two equivalent Cr(3); and one Zn(1,3) atom to form distorted SeZnCr3 trigonal pyramids that share  a cornercorner with one Se(6)ZnCr3 trigonal pyramid, corners with two equivalent Se(2)ZnCr3 trigonal pyramids, corners with two equivalent Se(8)ZnCr3 trigonal pyramids, corners with three equivalent Se(4)ZnCr3 trigonal pyramids, corners with four equivalent Se(3)MnCr3 trigonal pyramids,  an edgeedge with one Se(5)ZnCr3 trigonal pyramid, and edges with two equivalent Se(8)ZnCr3 trigonal pyramids. is represented by the CIF file [CIF]
data_MnZn3(CrSe2)8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   13.013
_cell_length_b   13.013
_cell_length_c   13.013
_cell_angle_alpha   33.576
_cell_angle_beta   33.576
_cell_angle_gamma   33.576
_symmetry_Int_Tables_number   1
_cell_volume   600.391
_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  0.437  0.437  0.437  1.0
  Zn  Zn1  1  0.938  0.938  0.938  1.0
  Zn  Zn2  1  0.062  0.062  0.062  1.0
  Zn  Zn3  1  0.563  0.563  0.563  1.0
  Cr  Cr4  1  0.750  0.750  0.750  1.0
  Cr  Cr5  1  0.250  0.250  0.250  1.0
  Cr  Cr6  1  0.000  0.000  0.500  1.0
  Cr  Cr7  1  0.500  0.500  1.000  1.0
  Cr  Cr8  1  0.000  0.500  0.000  1.0
  Cr  Cr9  1  0.500  1.000  0.500  1.0
  Cr  Cr10  1  0.500  0.000  0.000  1.0
  Cr  Cr11  1  1.000  0.500  0.500  1.0
  Se  Se12  1  0.370  0.370  0.370  1.0
  Se  Se13  1  0.870  0.870  0.870  1.0
  Se  Se14  1  0.640  0.640  0.100  1.0
  Se  Se15  1  0.140  0.140  0.599  1.0
  Se  Se16  1  0.640  0.100  0.640  1.0
  Se  Se17  1  0.140  0.599  0.140  1.0
  Se  Se18  1  0.100  0.640  0.640  1.0
  Se  Se19  1  0.599  0.140  0.140  1.0
  Se  Se20  1  0.130  0.130  0.130  1.0
  Se  Se21  1  0.630  0.630  0.630  1.0
  Se  Se22  1  0.860  0.860  0.400  1.0
  Se  Se23  1  0.360  0.360  0.900  1.0
  Se  Se24  1  0.860  0.400  0.860  1.0
  Se  Se25  1  0.360  0.900  0.360  1.0
  Se  Se26  1  0.400  0.860  0.860  1.0
  Se  Se27  1  0.900  0.360  0.360  1.0
[/CIF]
.