The crystal structure described by BeCr2O4 is Spinel-like structured and crystallizes in the orthorhombic Pnma space group. Be(1) is bonded to one O(1), one O(2), and two equivalent O(3) atoms to form BeO4 tetrahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-60°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), and four equivalent O(3) atoms to form CrO6 octahedra that share corners with four equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with four equivalent Be(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Be(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CrO6 octahedra that share corners with four equivalent Cr(1)O6 octahedra, corners with two equivalent Be(1)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Be(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-58°. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Be(1), one Cr(1), and two equivalent Cr(2) atoms to form distorted corner-sharing OBeCr3 trigonal pyramids. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Be(1), one Cr(1), and two equivalent Cr(2) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Be(1), one Cr(2), and two equivalent Cr(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_BeCr2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.542
_cell_length_b   5.708
_cell_length_c   9.811
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.006
_symmetry_Int_Tables_number   1
_cell_volume   254.398
_cell_formula_units_Z   4
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
  Be  Be0  1  0.931  0.750  0.407  1.0
  Be  Be1  1  0.569  0.750  0.907  1.0
  Be  Be2  1  0.069  0.250  0.593  1.0
  Be  Be3  1  0.431  0.250  0.093  1.0
  Cr  Cr4  1  0.497  0.750  0.230  1.0
  Cr  Cr5  1  0.003  0.750  0.730  1.0
  Cr  Cr6  1  0.503  0.250  0.770  1.0
  Cr  Cr7  1  0.997  0.250  0.270  1.0
  Cr  Cr8  1  0.500  0.500  0.500  1.0
  Cr  Cr9  1  1.000  1.000  1.000  1.0
  Cr  Cr10  1  0.500  1.000  0.500  1.0
  Cr  Cr11  1  1.000  0.500  0.000  1.0
  O  O12  1  0.277  0.750  0.408  1.0
  O  O13  1  0.223  0.750  0.908  1.0
  O  O14  1  0.723  0.250  0.592  1.0
  O  O15  1  0.777  0.250  0.092  1.0
  O  O16  1  0.730  0.750  0.060  1.0
  O  O17  1  0.770  0.750  0.560  1.0
  O  O18  1  0.270  0.250  0.940  1.0
  O  O19  1  0.230  0.250  0.440  1.0
  O  O20  1  0.760  0.977  0.337  1.0
  O  O21  1  0.740  0.523  0.837  1.0
  O  O22  1  0.240  0.477  0.663  1.0
  O  O23  1  0.260  0.023  0.163  1.0
  O  O24  1  0.240  0.023  0.663  1.0
  O  O25  1  0.260  0.477  0.163  1.0
  O  O26  1  0.760  0.523  0.337  1.0
  O  O27  1  0.740  0.977  0.837  1.0
[/CIF]
.
The crystal structure described by BeCr2O4 is Spinel-like structured and crystallizes in the orthorhombic Pnma space group. Be(1) is bonded to one O(1), one O(2), and two equivalent O(3) atoms to form BeO4 tetrahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with four equivalent Cr(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-60°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), and four equivalent O(3) atoms to form CrO6 octahedra that share corners with four equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with four equivalent Be(1)O4 tetrahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Be(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-58°. In the second Cr site, Cr(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form CrO6 octahedra that share corners with four equivalent Cr(1)O6 octahedra, corners with two equivalent Be(1)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with two equivalent Be(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 54-58°. There are three inequivalent O sites. In the first O site, O(1) is bonded to one Be(1), one Cr(1), and two equivalent Cr(2) atoms to form distorted corner-sharing OBeCr3 trigonal pyramids. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Be(1), one Cr(1), and two equivalent Cr(2) atoms. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Be(1), one Cr(2), and two equivalent Cr(1) atoms. is represented by the Crystallographic Information File (CIF) [CIF]
data_BeCr2O4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.542
_cell_length_b   5.708
_cell_length_c   9.811
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.006
_symmetry_Int_Tables_number   1
_cell_volume   254.398
_cell_formula_units_Z   4
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
  Be  Be0  1  0.931  0.750  0.407  1.0
  Be  Be1  1  0.569  0.750  0.907  1.0
  Be  Be2  1  0.069  0.250  0.593  1.0
  Be  Be3  1  0.431  0.250  0.093  1.0
  Cr  Cr4  1  0.497  0.750  0.230  1.0
  Cr  Cr5  1  0.003  0.750  0.730  1.0
  Cr  Cr6  1  0.503  0.250  0.770  1.0
  Cr  Cr7  1  0.997  0.250  0.270  1.0
  Cr  Cr8  1  0.500  0.500  0.500  1.0
  Cr  Cr9  1  1.000  1.000  1.000  1.0
  Cr  Cr10  1  0.500  1.000  0.500  1.0
  Cr  Cr11  1  1.000  0.500  0.000  1.0
  O  O12  1  0.277  0.750  0.408  1.0
  O  O13  1  0.223  0.750  0.908  1.0
  O  O14  1  0.723  0.250  0.592  1.0
  O  O15  1  0.777  0.250  0.092  1.0
  O  O16  1  0.730  0.750  0.060  1.0
  O  O17  1  0.770  0.750  0.560  1.0
  O  O18  1  0.270  0.250  0.940  1.0
  O  O19  1  0.230  0.250  0.440  1.0
  O  O20  1  0.760  0.977  0.337  1.0
  O  O21  1  0.740  0.523  0.837  1.0
  O  O22  1  0.240  0.477  0.663  1.0
  O  O23  1  0.260  0.023  0.163  1.0
  O  O24  1  0.240  0.023  0.663  1.0
  O  O25  1  0.260  0.477  0.163  1.0
  O  O26  1  0.760  0.523  0.337  1.0
  O  O27  1  0.740  0.977  0.837  1.0
[/CIF]
.