The compound described by Cr4CoZnO8 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 one O(2), one O(6), two equivalent O(4), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Co(1)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. In the second Cr site, Cr(2) is bonded to three equivalent O(4) and three equivalent O(7) atoms to form CrO6 octahedra that share corners with three equivalent Co(1)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(4)O6 octahedra. In the third Cr site, Cr(3) is bonded to three equivalent O(3) and three equivalent O(8) atoms to form CrO6 octahedra that share corners with three equivalent Co(2)O4 tetrahedra, corners with three equivalent Zn(1)O4 tetrahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(4)O6 octahedra. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(5), two equivalent O(3), and two equivalent O(7) atoms to form CrO6 octahedra that share  a cornercorner with one Co(2)O4 tetrahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with four equivalent Cr(4)O6 octahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(6) and three equivalent O(7) atoms to form CoO4 tetrahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with six equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-59°. In the second Co site, Co(2) is bonded to one O(5) and three equivalent O(8) atoms to form CoO4 tetrahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra, and corners with six equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-59°. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(2) and three equivalent O(3) atoms to form ZnO4 tetrahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Cr(3)O6 octahedra, and corners with six equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles are 59°. In the second Zn site, Zn(2) is bonded to one O(1) and three equivalent O(4) atoms to form ZnO4 tetrahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra, and corners with six equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-59°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Cr(4) and one Zn(2) atom to form distorted OZnCr3 trigonal pyramids that share corners with three equivalent O(5)Cr3Co trigonal pyramids, corners with three equivalent O(4)ZnCr3 trigonal pyramids, corners with six equivalent O(7)Cr3Co trigonal pyramids, and edges with three equivalent O(3)ZnCr3 trigonal pyramids. In the second O site, O(2) is bonded to three equivalent Cr(1) and one Zn(1) atom to form distorted OZnCr3 trigonal pyramids that share corners with three equivalent O(6)Cr3Co trigonal pyramids, corners with three equivalent O(3)ZnCr3 trigonal pyramids, corners with six equivalent O(8)Cr3Co trigonal pyramids, and edges with three equivalent O(4)ZnCr3 trigonal pyramids. In the third O site, O(3) is bonded to one Cr(3), two equivalent Cr(4), and one Zn(1) atom to form distorted OZnCr3 trigonal pyramids that share  a cornercorner with one O(2)ZnCr3 trigonal pyramid, corners with two equivalent O(5)Cr3Co trigonal pyramids, corners with two equivalent O(3)ZnCr3 trigonal pyramids, corners with three equivalent O(8)Cr3Co trigonal pyramids, corners with four equivalent O(7)Cr3Co trigonal pyramids,  an edgeedge with one O(1)ZnCr3 trigonal pyramid, and edges with two equivalent O(3)ZnCr3 trigonal pyramids. In the fourth O site, O(4) is bonded to one Cr(2), two equivalent Cr(1), and one Zn(2) atom to form distorted OZnCr3 trigonal pyramids that share  a cornercorner with one O(1)ZnCr3 trigonal pyramid, corners with two equivalent O(6)Cr3Co trigonal pyramids, corners with two equivalent O(4)ZnCr3 trigonal pyramids, corners with three equivalent O(7)Cr3Co trigonal pyramids, corners with four equivalent O(8)Cr3Co trigonal pyramids,  an edgeedge with one O(2)ZnCr3 trigonal pyramid, and edges with two equivalent O(4)ZnCr3 trigonal pyramids. In the fifth O site, O(5) is bonded to three equivalent Cr(4) and one Co(2) atom to form distorted OCr3Co trigonal pyramids that share corners with three equivalent O(8)Cr3Co trigonal pyramids, corners with three equivalent O(1)ZnCr3 trigonal pyramids, corners with six equivalent O(3)ZnCr3 trigonal pyramids, and edges with three equivalent O(7)Cr3Co trigonal pyramids. In the sixth O site, O(6) is bonded to three equivalent Cr(1) and one Co(1) atom to form distorted OCr3Co trigonal pyramids that share corners with three equivalent O(7)Cr3Co trigonal pyramids, corners with three equivalent O(2)ZnCr3 trigonal pyramids, corners with six equivalent O(4)ZnCr3 trigonal pyramids, and edges with three equivalent O(8)Cr3Co trigonal pyramids. In the seventh O site, O(7) is bonded to one Cr(2), two equivalent Cr(4), and one Co(1) atom to form distorted OCr3Co trigonal pyramids that share  a cornercorner with one O(6)Cr3Co trigonal pyramid, corners with two equivalent O(7)Cr3Co trigonal pyramids, corners with two equivalent O(1)ZnCr3 trigonal pyramids, corners with three equivalent O(4)ZnCr3 trigonal pyramids, corners with four equivalent O(3)ZnCr3 trigonal pyramids,  an edgeedge with one O(5)Cr3Co trigonal pyramid, and edges with two equivalent O(7)Cr3Co trigonal pyramids. In the eighth O site, O(8) is bonded to one Cr(3), two equivalent Cr(1), and one Co(2) atom to form distorted OCr3Co trigonal pyramids that share  a cornercorner with one O(5)Cr3Co trigonal pyramid, corners with two equivalent O(8)Cr3Co trigonal pyramids, corners with two equivalent O(2)ZnCr3 trigonal pyramids, corners with three equivalent O(3)ZnCr3 trigonal pyramids, corners with four equivalent O(4)ZnCr3 trigonal pyramids,  an edgeedge with one O(6)Cr3Co trigonal pyramid, and edges with two equivalent O(8)Cr3Co trigonal pyramids. is represented by the CIF file [CIF]
data_ZnCr4CoO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.989
_cell_length_b   5.989
_cell_length_c   5.989
_cell_angle_alpha   119.818
_cell_angle_beta   119.816
_cell_angle_gamma   60.183
_symmetry_Int_Tables_number   1
_cell_volume   152.507
_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
  Co  Co0  1  0.250  0.250  0.750  1.0
  Cr  Cr1  1  0.625  0.125  0.375  1.0
  Cr  Cr2  1  0.125  0.625  0.375  1.0
  Cr  Cr3  1  0.625  0.625  0.875  1.0
  Cr  Cr4  1  0.625  0.625  0.375  1.0
  O  O5  1  0.863  0.863  0.137  1.0
  O  O6  1  0.864  0.409  0.136  1.0
  O  O7  1  0.409  0.864  0.136  1.0
  O  O8  1  0.864  0.864  0.591  1.0
  O  O9  1  0.387  0.387  0.613  1.0
  O  O10  1  0.386  0.841  0.614  1.0
  O  O11  1  0.841  0.386  0.614  1.0
  O  O12  1  0.386  0.386  0.159  1.0
  Zn  Zn13  1  0.000  0.000  1.000  1.0
[/CIF]
.
The compound described by Cr4CoZnO8 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 one O(2), one O(6), two equivalent O(4), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Co(1)O4 tetrahedra,  a cornercorner with one Zn(1)O4 tetrahedra, corners with two equivalent Co(2)O4 tetrahedra, corners with two equivalent Zn(2)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. In the second Cr site, Cr(2) is bonded to three equivalent O(4) and three equivalent O(7) atoms to form CrO6 octahedra that share corners with three equivalent Co(1)O4 tetrahedra, corners with three equivalent Zn(2)O4 tetrahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(4)O6 octahedra. In the third Cr site, Cr(3) is bonded to three equivalent O(3) and three equivalent O(8) atoms to form CrO6 octahedra that share corners with three equivalent Co(2)O4 tetrahedra, corners with three equivalent Zn(1)O4 tetrahedra, edges with three equivalent Cr(1)O6 octahedra, and edges with three equivalent Cr(4)O6 octahedra. In the fourth Cr site, Cr(4) is bonded to one O(1), one O(5), two equivalent O(3), and two equivalent O(7) atoms to form CrO6 octahedra that share  a cornercorner with one Co(2)O4 tetrahedra,  a cornercorner with one Zn(2)O4 tetrahedra, corners with two equivalent Co(1)O4 tetrahedra, corners with two equivalent Zn(1)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with four equivalent Cr(4)O6 octahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(6) and three equivalent O(7) atoms to form CoO4 tetrahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with six equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-59°. In the second Co site, Co(2) is bonded to one O(5) and three equivalent O(8) atoms to form CoO4 tetrahedra that share corners with three equivalent Cr(3)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra, and corners with six equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-59°. There are two inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to one O(2) and three equivalent O(3) atoms to form ZnO4 tetrahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Cr(3)O6 octahedra, and corners with six equivalent Cr(4)O6 octahedra. The corner-sharing octahedral tilt angles are 59°. In the second Zn site, Zn(2) is bonded to one O(1) and three equivalent O(4) atoms to form ZnO4 tetrahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Cr(4)O6 octahedra, and corners with six equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-59°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to three equivalent Cr(4) and one Zn(2) atom to form distorted OZnCr3 trigonal pyramids that share corners with three equivalent O(5)Cr3Co trigonal pyramids, corners with three equivalent O(4)ZnCr3 trigonal pyramids, corners with six equivalent O(7)Cr3Co trigonal pyramids, and edges with three equivalent O(3)ZnCr3 trigonal pyramids. In the second O site, O(2) is bonded to three equivalent Cr(1) and one Zn(1) atom to form distorted OZnCr3 trigonal pyramids that share corners with three equivalent O(6)Cr3Co trigonal pyramids, corners with three equivalent O(3)ZnCr3 trigonal pyramids, corners with six equivalent O(8)Cr3Co trigonal pyramids, and edges with three equivalent O(4)ZnCr3 trigonal pyramids. In the third O site, O(3) is bonded to one Cr(3), two equivalent Cr(4), and one Zn(1) atom to form distorted OZnCr3 trigonal pyramids that share  a cornercorner with one O(2)ZnCr3 trigonal pyramid, corners with two equivalent O(5)Cr3Co trigonal pyramids, corners with two equivalent O(3)ZnCr3 trigonal pyramids, corners with three equivalent O(8)Cr3Co trigonal pyramids, corners with four equivalent O(7)Cr3Co trigonal pyramids,  an edgeedge with one O(1)ZnCr3 trigonal pyramid, and edges with two equivalent O(3)ZnCr3 trigonal pyramids. In the fourth O site, O(4) is bonded to one Cr(2), two equivalent Cr(1), and one Zn(2) atom to form distorted OZnCr3 trigonal pyramids that share  a cornercorner with one O(1)ZnCr3 trigonal pyramid, corners with two equivalent O(6)Cr3Co trigonal pyramids, corners with two equivalent O(4)ZnCr3 trigonal pyramids, corners with three equivalent O(7)Cr3Co trigonal pyramids, corners with four equivalent O(8)Cr3Co trigonal pyramids,  an edgeedge with one O(2)ZnCr3 trigonal pyramid, and edges with two equivalent O(4)ZnCr3 trigonal pyramids. In the fifth O site, O(5) is bonded to three equivalent Cr(4) and one Co(2) atom to form distorted OCr3Co trigonal pyramids that share corners with three equivalent O(8)Cr3Co trigonal pyramids, corners with three equivalent O(1)ZnCr3 trigonal pyramids, corners with six equivalent O(3)ZnCr3 trigonal pyramids, and edges with three equivalent O(7)Cr3Co trigonal pyramids. In the sixth O site, O(6) is bonded to three equivalent Cr(1) and one Co(1) atom to form distorted OCr3Co trigonal pyramids that share corners with three equivalent O(7)Cr3Co trigonal pyramids, corners with three equivalent O(2)ZnCr3 trigonal pyramids, corners with six equivalent O(4)ZnCr3 trigonal pyramids, and edges with three equivalent O(8)Cr3Co trigonal pyramids. In the seventh O site, O(7) is bonded to one Cr(2), two equivalent Cr(4), and one Co(1) atom to form distorted OCr3Co trigonal pyramids that share  a cornercorner with one O(6)Cr3Co trigonal pyramid, corners with two equivalent O(7)Cr3Co trigonal pyramids, corners with two equivalent O(1)ZnCr3 trigonal pyramids, corners with three equivalent O(4)ZnCr3 trigonal pyramids, corners with four equivalent O(3)ZnCr3 trigonal pyramids,  an edgeedge with one O(5)Cr3Co trigonal pyramid, and edges with two equivalent O(7)Cr3Co trigonal pyramids. In the eighth O site, O(8) is bonded to one Cr(3), two equivalent Cr(1), and one Co(2) atom to form distorted OCr3Co trigonal pyramids that share  a cornercorner with one O(5)Cr3Co trigonal pyramid, corners with two equivalent O(8)Cr3Co trigonal pyramids, corners with two equivalent O(2)ZnCr3 trigonal pyramids, corners with three equivalent O(3)ZnCr3 trigonal pyramids, corners with four equivalent O(4)ZnCr3 trigonal pyramids,  an edgeedge with one O(6)Cr3Co trigonal pyramid, and edges with two equivalent O(8)Cr3Co trigonal pyramids. is represented by the CIF file [CIF]
data_ZnCr4CoO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.989
_cell_length_b   5.989
_cell_length_c   5.989
_cell_angle_alpha   119.818
_cell_angle_beta   119.816
_cell_angle_gamma   60.183
_symmetry_Int_Tables_number   1
_cell_volume   152.507
_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
  Co  Co0  1  0.250  0.250  0.750  1.0
  Cr  Cr1  1  0.625  0.125  0.375  1.0
  Cr  Cr2  1  0.125  0.625  0.375  1.0
  Cr  Cr3  1  0.625  0.625  0.875  1.0
  Cr  Cr4  1  0.625  0.625  0.375  1.0
  O  O5  1  0.863  0.863  0.137  1.0
  O  O6  1  0.864  0.409  0.136  1.0
  O  O7  1  0.409  0.864  0.136  1.0
  O  O8  1  0.864  0.864  0.591  1.0
  O  O9  1  0.387  0.387  0.613  1.0
  O  O10  1  0.386  0.841  0.614  1.0
  O  O11  1  0.841  0.386  0.614  1.0
  O  O12  1  0.386  0.386  0.159  1.0
  Zn  Zn13  1  0.000  0.000  1.000  1.0
[/CIF]
.