The compound described by Cr5ZnO7 crystallizes in the orthorhombic Cmcm space group. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), two equivalent O(3), and three equivalent O(1) atoms to form CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Zn(1)O6 pentagonal pyramids, edges with three equivalent Cr(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the second Cr site, Cr(2) is bonded in a 6-coordinate geometry to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms. In the third Cr site, Cr(3) is bonded to two equivalent O(3) and four equivalent O(1) atoms to form a mixture of edge and corner-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. Zn(1) is bonded to two equivalent O(4) and four equivalent O(2) atoms to form distorted ZnO6 pentagonal pyramids that share corners with four equivalent Cr(1)O6 octahedra and faces with two equivalent Zn(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 75°. There are four inequivalent O sites. In the first O site, O(3) is bonded to one Cr(3), two equivalent Cr(1), and two equivalent Cr(2) atoms to form OCr5 square pyramids that share corners with two equivalent O(1)Cr6 octahedra,  a cornercorner with one O(3)Cr5 square pyramid, corners with two equivalent O(4)Zn2Cr2 tetrahedra, corners with four equivalent O(2)Zn2Cr3 trigonal bipyramids, edges with five equivalent O(1)Cr6 octahedra, edges with two equivalent O(3)Cr5 square pyramids, and  an edgeedge with one O(2)Zn2Cr3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 12°. In the second O site, O(4) is bonded to two equivalent Cr(2) and two equivalent Zn(1) atoms to form OZn2Cr2 tetrahedra that share corners with two equivalent O(1)Cr6 octahedra, corners with four equivalent O(3)Cr5 square pyramids, corners with two equivalent O(4)Zn2Cr2 tetrahedra, corners with eight equivalent O(2)Zn2Cr3 trigonal bipyramids, and edges with two equivalent O(2)Zn2Cr3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°. In the third O site, O(1) is bonded to one Cr(2), two equivalent Cr(3), and three equivalent Cr(1) atoms to form distorted OCr6 octahedra that share corners with two equivalent O(1)Cr6 octahedra, corners with two equivalent O(3)Cr5 square pyramids,  a cornercorner with one O(4)Zn2Cr2 tetrahedra,  a cornercorner with one O(2)Zn2Cr3 trigonal bipyramid, edges with five equivalent O(1)Cr6 octahedra, edges with five equivalent O(3)Cr5 square pyramids, and edges with two equivalent O(2)Zn2Cr3 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the fourth O site, O(2) is bonded to one Cr(1), two equivalent Cr(2), and two equivalent Zn(1) atoms to form distorted OZn2Cr3 trigonal bipyramids that share  a cornercorner with one O(1)Cr6 octahedra, corners with four equivalent O(3)Cr5 square pyramids, corners with four equivalent O(4)Zn2Cr2 tetrahedra, corners with two equivalent O(2)Zn2Cr3 trigonal bipyramids, edges with two equivalent O(1)Cr6 octahedra,  an edgeedge with one O(3)Cr5 square pyramid,  an edgeedge with one O(4)Zn2Cr2 tetrahedra, and edges with three equivalent O(2)Zn2Cr3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. is represented by the Crystallographic Information File (CIF) [CIF]
data_ZnCr5O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.337
_cell_length_b   5.337
_cell_length_c   18.400
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   147.403
_symmetry_Int_Tables_number   1
_cell_volume   282.381
_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
  Zn  Zn0  1  0.204  0.796  0.750  1.0
  Zn  Zn1  1  0.796  0.204  0.250  1.0
  Cr  Cr2  1  0.726  0.274  0.577  1.0
  Cr  Cr3  1  0.541  0.459  0.155  1.0
  Cr  Cr4  1  0.000  0.000  0.500  1.0
  Cr  Cr5  1  0.000  0.000  0.000  1.0
  Cr  Cr6  1  0.459  0.541  0.845  1.0
  Cr  Cr7  1  0.274  0.726  0.423  1.0
  Cr  Cr8  1  0.274  0.726  0.077  1.0
  Cr  Cr9  1  0.726  0.274  0.923  1.0
  Cr  Cr10  1  0.459  0.541  0.655  1.0
  Cr  Cr11  1  0.541  0.459  0.345  1.0
  O  O12  1  0.370  0.630  0.976  1.0
  O  O13  1  0.630  0.370  0.024  1.0
  O  O14  1  0.630  0.370  0.476  1.0
  O  O15  1  0.370  0.630  0.524  1.0
  O  O16  1  0.823  0.177  0.827  1.0
  O  O17  1  0.177  0.823  0.173  1.0
  O  O18  1  0.177  0.823  0.327  1.0
  O  O19  1  0.823  0.177  0.673  1.0
  O  O20  1  0.070  0.930  0.896  1.0
  O  O21  1  0.930  0.070  0.104  1.0
  O  O22  1  0.930  0.070  0.396  1.0
  O  O23  1  0.070  0.930  0.604  1.0
  O  O24  1  0.567  0.433  0.750  1.0
  O  O25  1  0.433  0.567  0.250  1.0
[/CIF]
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The compound described by Cr5ZnO7 crystallizes in the orthorhombic Cmcm space group. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), two equivalent O(3), and three equivalent O(1) atoms to form CrO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Zn(1)O6 pentagonal pyramids, edges with three equivalent Cr(3)O6 octahedra, and edges with four equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the second Cr site, Cr(2) is bonded in a 6-coordinate geometry to one O(1), one O(4), two equivalent O(2), and two equivalent O(3) atoms. In the third Cr site, Cr(3) is bonded to two equivalent O(3) and four equivalent O(1) atoms to form a mixture of edge and corner-sharing CrO6 octahedra. The corner-sharing octahedral tilt angles are 13°. Zn(1) is bonded to two equivalent O(4) and four equivalent O(2) atoms to form distorted ZnO6 pentagonal pyramids that share corners with four equivalent Cr(1)O6 octahedra and faces with two equivalent Zn(1)O6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 75°. There are four inequivalent O sites. In the first O site, O(3) is bonded to one Cr(3), two equivalent Cr(1), and two equivalent Cr(2) atoms to form OCr5 square pyramids that share corners with two equivalent O(1)Cr6 octahedra,  a cornercorner with one O(3)Cr5 square pyramid, corners with two equivalent O(4)Zn2Cr2 tetrahedra, corners with four equivalent O(2)Zn2Cr3 trigonal bipyramids, edges with five equivalent O(1)Cr6 octahedra, edges with two equivalent O(3)Cr5 square pyramids, and  an edgeedge with one O(2)Zn2Cr3 trigonal bipyramid. The corner-sharing octahedral tilt angles are 12°. In the second O site, O(4) is bonded to two equivalent Cr(2) and two equivalent Zn(1) atoms to form OZn2Cr2 tetrahedra that share corners with two equivalent O(1)Cr6 octahedra, corners with four equivalent O(3)Cr5 square pyramids, corners with two equivalent O(4)Zn2Cr2 tetrahedra, corners with eight equivalent O(2)Zn2Cr3 trigonal bipyramids, and edges with two equivalent O(2)Zn2Cr3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 11°. In the third O site, O(1) is bonded to one Cr(2), two equivalent Cr(3), and three equivalent Cr(1) atoms to form distorted OCr6 octahedra that share corners with two equivalent O(1)Cr6 octahedra, corners with two equivalent O(3)Cr5 square pyramids,  a cornercorner with one O(4)Zn2Cr2 tetrahedra,  a cornercorner with one O(2)Zn2Cr3 trigonal bipyramid, edges with five equivalent O(1)Cr6 octahedra, edges with five equivalent O(3)Cr5 square pyramids, and edges with two equivalent O(2)Zn2Cr3 trigonal bipyramids. The corner-sharing octahedra are not tilted. In the fourth O site, O(2) is bonded to one Cr(1), two equivalent Cr(2), and two equivalent Zn(1) atoms to form distorted OZn2Cr3 trigonal bipyramids that share  a cornercorner with one O(1)Cr6 octahedra, corners with four equivalent O(3)Cr5 square pyramids, corners with four equivalent O(4)Zn2Cr2 tetrahedra, corners with two equivalent O(2)Zn2Cr3 trigonal bipyramids, edges with two equivalent O(1)Cr6 octahedra,  an edgeedge with one O(3)Cr5 square pyramid,  an edgeedge with one O(4)Zn2Cr2 tetrahedra, and edges with three equivalent O(2)Zn2Cr3 trigonal bipyramids. The corner-sharing octahedral tilt angles are 2°. is represented by the Crystallographic Information File (CIF) [CIF]
data_ZnCr5O7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.337
_cell_length_b   5.337
_cell_length_c   18.400
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   147.403
_symmetry_Int_Tables_number   1
_cell_volume   282.381
_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
  Zn  Zn0  1  0.204  0.796  0.750  1.0
  Zn  Zn1  1  0.796  0.204  0.250  1.0
  Cr  Cr2  1  0.726  0.274  0.577  1.0
  Cr  Cr3  1  0.541  0.459  0.155  1.0
  Cr  Cr4  1  0.000  0.000  0.500  1.0
  Cr  Cr5  1  0.000  0.000  0.000  1.0
  Cr  Cr6  1  0.459  0.541  0.845  1.0
  Cr  Cr7  1  0.274  0.726  0.423  1.0
  Cr  Cr8  1  0.274  0.726  0.077  1.0
  Cr  Cr9  1  0.726  0.274  0.923  1.0
  Cr  Cr10  1  0.459  0.541  0.655  1.0
  Cr  Cr11  1  0.541  0.459  0.345  1.0
  O  O12  1  0.370  0.630  0.976  1.0
  O  O13  1  0.630  0.370  0.024  1.0
  O  O14  1  0.630  0.370  0.476  1.0
  O  O15  1  0.370  0.630  0.524  1.0
  O  O16  1  0.823  0.177  0.827  1.0
  O  O17  1  0.177  0.823  0.173  1.0
  O  O18  1  0.177  0.823  0.327  1.0
  O  O19  1  0.823  0.177  0.673  1.0
  O  O20  1  0.070  0.930  0.896  1.0
  O  O21  1  0.930  0.070  0.104  1.0
  O  O22  1  0.930  0.070  0.396  1.0
  O  O23  1  0.070  0.930  0.604  1.0
  O  O24  1  0.567  0.433  0.750  1.0
  O  O25  1  0.433  0.567  0.250  1.0
[/CIF]
.