The crystal structure described by MgCrGaO4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(2), one O(4), and two equivalent O(1) atoms to form distorted MgO4 tetrahedra that share corners with four equivalent Ga(1)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, and  an edgeedge with one Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-62°. Cr(1) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(2), and two equivalent O(4) atoms. Ga(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form GaO6 octahedra that share corners with four equivalent Mg(1)O4 tetrahedra, edges with two equivalent Ga(1)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1) and two equivalent Ga(1) atoms. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), two equivalent Cr(1), and one Ga(1) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Cr(1) and two equivalent Ga(1) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mg(1), two equivalent Cr(1), and one Ga(1) atom. is represented by the CIF file [CIF]
data_MgCrGaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.203
_cell_length_b   6.018
_cell_length_c   5.211
_cell_angle_alpha   77.439
_cell_angle_beta   104.577
_cell_angle_gamma   149.817
_symmetry_Int_Tables_number   1
_cell_volume   79.396
_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
  Mg  Mg0  1  0.797  0.500  0.703  1.0
  Cr  Cr1  1  0.585  1.000  0.418  1.0
  Ga  Ga2  1  0.470  0.499  0.031  1.0
  O  O3  1  0.154  0.000  0.849  1.0
  O  O4  1  0.191  0.500  0.687  1.0
  O  O5  1  0.818  0.999  0.184  1.0
  O  O6  1  0.815  0.500  0.311  1.0
[/CIF]
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The crystal structure described by MgCrGaO4 crystallizes in the monoclinic Pm space group. Mg(1) is bonded to one O(2), one O(4), and two equivalent O(1) atoms to form distorted MgO4 tetrahedra that share corners with four equivalent Ga(1)O6 octahedra, corners with two equivalent Mg(1)O4 tetrahedra, and  an edgeedge with one Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 7-62°. Cr(1) is bonded in a 5-coordinate geometry to one O(3), two equivalent O(2), and two equivalent O(4) atoms. Ga(1) is bonded to one O(2), one O(4), two equivalent O(1), and two equivalent O(3) atoms to form GaO6 octahedra that share corners with four equivalent Mg(1)O4 tetrahedra, edges with two equivalent Ga(1)O6 octahedra, and  an edgeedge with one Mg(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Mg(1) and two equivalent Ga(1) atoms. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Mg(1), two equivalent Cr(1), and one Ga(1) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Cr(1) and two equivalent Ga(1) atoms. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Mg(1), two equivalent Cr(1), and one Ga(1) atom. is represented by the CIF file [CIF]
data_MgCrGaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.203
_cell_length_b   6.018
_cell_length_c   5.211
_cell_angle_alpha   77.439
_cell_angle_beta   104.577
_cell_angle_gamma   149.817
_symmetry_Int_Tables_number   1
_cell_volume   79.396
_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
  Mg  Mg0  1  0.797  0.500  0.703  1.0
  Cr  Cr1  1  0.585  1.000  0.418  1.0
  Ga  Ga2  1  0.470  0.499  0.031  1.0
  O  O3  1  0.154  0.000  0.849  1.0
  O  O4  1  0.191  0.500  0.687  1.0
  O  O5  1  0.818  0.999  0.184  1.0
  O  O6  1  0.815  0.500  0.311  1.0
[/CIF]
.