The material structure described by MgCr2Al4O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Al(3)O6 octahedra, corners with three equivalent Al(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra,  a faceface with one Cr(2)O6 octahedra, and  a faceface with one Al(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-59°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(3), one O(6), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Al(2)O6 octahedra, corners with three equivalent Al(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-63°. In the second Cr site, Cr(2) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form distorted CrO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Al(1)O6 octahedra, edges with two equivalent Al(2)O6 octahedra, edges with two equivalent Al(3)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-63°. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form distorted AlO6 octahedra that share corners with two equivalent Al(2)O6 octahedra, corners with two equivalent Al(3)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Al(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-54°. In the second Al site, Al(2) is bonded to one O(1), one O(2), one O(4), one O(6), one O(7), and one O(8) atom to form distorted AlO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with three equivalent Mg(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Al(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  a faceface with one Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-57°. In the third Al site, Al(3) is bonded to one O(10), one O(2), one O(3), one O(5), one O(8), and one O(9) atom to form AlO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Al(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Al(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-52°. In the fourth Al site, Al(4) is bonded in a 5-coordinate geometry to one O(10), one O(3), one O(5), one O(7), and one O(9) atom. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Cr(1), one Al(1), and one Al(2) atom. In the second O site, O(2) is bonded to one Mg(1), one Cr(2), one Al(1), one Al(2), and one Al(3) atom to form distorted OMgAl3Cr trigonal bipyramids that share  a cornercorner with one O(10)MgAl2Cr2 trigonal bipyramid,  a cornercorner with one O(6)Al2Cr2 trigonal pyramid,  a cornercorner with one O(5)MgAl2Cr trigonal pyramid, corners with two equivalent O(3)Al3Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid,  an edgeedge with one O(6)Al2Cr2 trigonal pyramid,  an edgeedge with one O(7)Al3Cr trigonal pyramid,  an edgeedge with one O(5)MgAl2Cr trigonal pyramid, and edges with two equivalent O(4)MgAl2Cr trigonal pyramids. In the third O site, O(3) is bonded to one Cr(1), one Al(1), one Al(3), and one Al(4) atom to form OAl3Cr trigonal pyramids that share  a cornercorner with one O(10)MgAl2Cr2 trigonal bipyramid, corners with two equivalent O(2)MgAl3Cr trigonal bipyramids,  a cornercorner with one O(7)Al3Cr trigonal pyramid,  a cornercorner with one O(4)MgAl2Cr trigonal pyramid, corners with two equivalent O(5)MgAl2Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid,  an edgeedge with one O(6)Al2Cr2 trigonal pyramid, and  an edgeedge with one O(7)Al3Cr trigonal pyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Cr(2), one Al(1), and one Al(2) atom to form distorted OMgAl2Cr trigonal pyramids that share  a cornercorner with one O(3)Al3Cr trigonal pyramid, corners with two equivalent O(7)Al3Cr trigonal pyramids, corners with two equivalent O(5)MgAl2Cr trigonal pyramids, corners with three equivalent O(6)Al2Cr2 trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid, and edges with two equivalent O(2)MgAl3Cr trigonal bipyramids. In the fifth O site, O(5) is bonded to one Mg(1), one Cr(2), one Al(3), and one Al(4) atom to form distorted OMgAl2Cr trigonal pyramids that share  a cornercorner with one O(2)MgAl3Cr trigonal bipyramid, corners with two equivalent O(10)MgAl2Cr2 trigonal bipyramids,  a cornercorner with one O(6)Al2Cr2 trigonal pyramid,  a cornercorner with one O(7)Al3Cr trigonal pyramid, corners with two equivalent O(3)Al3Cr trigonal pyramids, corners with two equivalent O(4)MgAl2Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid, and  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid. In the sixth O site, O(6) is bonded to one Cr(1), one Cr(2), one Al(1), and one Al(2) atom to form distorted OAl2Cr2 trigonal pyramids that share  a cornercorner with one O(2)MgAl3Cr trigonal bipyramid, corners with two equivalent O(10)MgAl2Cr2 trigonal bipyramids,  a cornercorner with one O(7)Al3Cr trigonal pyramid,  a cornercorner with one O(5)MgAl2Cr trigonal pyramid, corners with three equivalent O(4)MgAl2Cr trigonal pyramids,  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid,  an edgeedge with one O(3)Al3Cr trigonal pyramid, and  an edgeedge with one O(7)Al3Cr trigonal pyramid. In the seventh O site, O(7) is bonded to one Cr(1), one Al(1), one Al(2), and one Al(4) atom to form OAl3Cr trigonal pyramids that share  a cornercorner with one O(6)Al2Cr2 trigonal pyramid,  a cornercorner with one O(3)Al3Cr trigonal pyramid,  a cornercorner with one O(5)MgAl2Cr trigonal pyramid, corners with two equivalent O(4)MgAl2Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid,  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid,  an edgeedge with one O(6)Al2Cr2 trigonal pyramid, and  an edgeedge with one O(3)Al3Cr trigonal pyramid. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Mg(1), one Cr(2), one Al(2), and one Al(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Al(3), and one Al(4) atom. In the tenth O site, O(10) is bonded to one Mg(1), one Cr(1), one Cr(2), one Al(3), and one Al(4) atom to form distorted OMgAl2Cr2 trigonal bipyramids that share  a cornercorner with one O(2)MgAl3Cr trigonal bipyramid,  a cornercorner with one O(3)Al3Cr trigonal pyramid, corners with two equivalent O(6)Al2Cr2 trigonal pyramids, corners with two equivalent O(5)MgAl2Cr trigonal pyramids,  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid,  an edgeedge with one O(3)Al3Cr trigonal pyramid,  an edgeedge with one O(7)Al3Cr trigonal pyramid,  an edgeedge with one O(4)MgAl2Cr trigonal pyramid, and  an edgeedge with one O(5)MgAl2Cr trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgAl4Cr2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.972
_cell_length_b   5.505
_cell_length_c   7.328
_cell_angle_alpha   69.478
_cell_angle_beta   89.236
_cell_angle_gamma   62.498
_symmetry_Int_Tables_number   1
_cell_volume   163.908
_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  0.782  0.407  0.074  1.0
  Al  Al1  1  0.615  0.758  0.686  1.0
  Al  Al2  1  0.360  0.264  0.777  1.0
  Al  Al3  1  0.580  0.805  0.217  1.0
  Al  Al4  1  0.350  0.283  0.316  1.0
  Cr  Cr5  1  0.984  0.009  0.498  1.0
  Cr  Cr6  1  0.009  0.967  0.970  1.0
  O  O7  1  0.015  0.620  0.650  1.0
  O  O8  1  0.717  0.827  0.939  1.0
  O  O9  1  0.407  0.872  0.431  1.0
  O  O10  1  0.635  0.390  0.827  1.0
  O  O11  1  0.368  0.611  0.163  1.0
  O  O12  1  0.203  0.995  0.734  1.0
  O  O13  1  0.556  0.174  0.560  1.0
  O  O14  1  0.229  0.170  0.033  1.0
  O  O15  1  0.940  0.421  0.320  1.0
  O  O16  1  0.763  0.033  0.238  1.0
[/CIF]
.
The material structure described by MgCr2Al4O10 crystallizes in the triclinic P1 space group. Mg(1) is bonded to one O(10), one O(2), one O(4), one O(5), one O(8), and one O(9) atom to form MgO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Al(3)O6 octahedra, corners with three equivalent Al(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Al(1)O6 octahedra,  a faceface with one Cr(2)O6 octahedra, and  a faceface with one Al(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-59°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(10), one O(3), one O(6), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Al(2)O6 octahedra, corners with three equivalent Al(3)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 42-63°. In the second Cr site, Cr(2) is bonded to one O(10), one O(2), one O(4), one O(5), one O(6), and one O(8) atom to form distorted CrO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with three equivalent Al(1)O6 octahedra, edges with two equivalent Al(2)O6 octahedra, edges with two equivalent Al(3)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 46-63°. There are four inequivalent Al sites. In the first Al site, Al(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form distorted AlO6 octahedra that share corners with two equivalent Al(2)O6 octahedra, corners with two equivalent Al(3)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Mg(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and  a faceface with one Al(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 41-54°. In the second Al site, Al(2) is bonded to one O(1), one O(2), one O(4), one O(6), one O(7), and one O(8) atom to form distorted AlO6 octahedra that share corners with two equivalent Al(1)O6 octahedra, corners with three equivalent Mg(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Al(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  a faceface with one Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-57°. In the third Al site, Al(3) is bonded to one O(10), one O(2), one O(3), one O(5), one O(8), and one O(9) atom to form AlO6 octahedra that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Al(1)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Al(2)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  a faceface with one Mg(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 40-52°. In the fourth Al site, Al(4) is bonded in a 5-coordinate geometry to one O(10), one O(3), one O(5), one O(7), and one O(9) atom. There are ten inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal planar geometry to one Cr(1), one Al(1), and one Al(2) atom. In the second O site, O(2) is bonded to one Mg(1), one Cr(2), one Al(1), one Al(2), and one Al(3) atom to form distorted OMgAl3Cr trigonal bipyramids that share  a cornercorner with one O(10)MgAl2Cr2 trigonal bipyramid,  a cornercorner with one O(6)Al2Cr2 trigonal pyramid,  a cornercorner with one O(5)MgAl2Cr trigonal pyramid, corners with two equivalent O(3)Al3Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid,  an edgeedge with one O(6)Al2Cr2 trigonal pyramid,  an edgeedge with one O(7)Al3Cr trigonal pyramid,  an edgeedge with one O(5)MgAl2Cr trigonal pyramid, and edges with two equivalent O(4)MgAl2Cr trigonal pyramids. In the third O site, O(3) is bonded to one Cr(1), one Al(1), one Al(3), and one Al(4) atom to form OAl3Cr trigonal pyramids that share  a cornercorner with one O(10)MgAl2Cr2 trigonal bipyramid, corners with two equivalent O(2)MgAl3Cr trigonal bipyramids,  a cornercorner with one O(7)Al3Cr trigonal pyramid,  a cornercorner with one O(4)MgAl2Cr trigonal pyramid, corners with two equivalent O(5)MgAl2Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid,  an edgeedge with one O(6)Al2Cr2 trigonal pyramid, and  an edgeedge with one O(7)Al3Cr trigonal pyramid. In the fourth O site, O(4) is bonded to one Mg(1), one Cr(2), one Al(1), and one Al(2) atom to form distorted OMgAl2Cr trigonal pyramids that share  a cornercorner with one O(3)Al3Cr trigonal pyramid, corners with two equivalent O(7)Al3Cr trigonal pyramids, corners with two equivalent O(5)MgAl2Cr trigonal pyramids, corners with three equivalent O(6)Al2Cr2 trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid, and edges with two equivalent O(2)MgAl3Cr trigonal bipyramids. In the fifth O site, O(5) is bonded to one Mg(1), one Cr(2), one Al(3), and one Al(4) atom to form distorted OMgAl2Cr trigonal pyramids that share  a cornercorner with one O(2)MgAl3Cr trigonal bipyramid, corners with two equivalent O(10)MgAl2Cr2 trigonal bipyramids,  a cornercorner with one O(6)Al2Cr2 trigonal pyramid,  a cornercorner with one O(7)Al3Cr trigonal pyramid, corners with two equivalent O(3)Al3Cr trigonal pyramids, corners with two equivalent O(4)MgAl2Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid, and  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid. In the sixth O site, O(6) is bonded to one Cr(1), one Cr(2), one Al(1), and one Al(2) atom to form distorted OAl2Cr2 trigonal pyramids that share  a cornercorner with one O(2)MgAl3Cr trigonal bipyramid, corners with two equivalent O(10)MgAl2Cr2 trigonal bipyramids,  a cornercorner with one O(7)Al3Cr trigonal pyramid,  a cornercorner with one O(5)MgAl2Cr trigonal pyramid, corners with three equivalent O(4)MgAl2Cr trigonal pyramids,  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid,  an edgeedge with one O(3)Al3Cr trigonal pyramid, and  an edgeedge with one O(7)Al3Cr trigonal pyramid. In the seventh O site, O(7) is bonded to one Cr(1), one Al(1), one Al(2), and one Al(4) atom to form OAl3Cr trigonal pyramids that share  a cornercorner with one O(6)Al2Cr2 trigonal pyramid,  a cornercorner with one O(3)Al3Cr trigonal pyramid,  a cornercorner with one O(5)MgAl2Cr trigonal pyramid, corners with two equivalent O(4)MgAl2Cr trigonal pyramids,  an edgeedge with one O(10)MgAl2Cr2 trigonal bipyramid,  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid,  an edgeedge with one O(6)Al2Cr2 trigonal pyramid, and  an edgeedge with one O(3)Al3Cr trigonal pyramid. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Mg(1), one Cr(2), one Al(2), and one Al(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Mg(1), one Cr(1), one Al(3), and one Al(4) atom. In the tenth O site, O(10) is bonded to one Mg(1), one Cr(1), one Cr(2), one Al(3), and one Al(4) atom to form distorted OMgAl2Cr2 trigonal bipyramids that share  a cornercorner with one O(2)MgAl3Cr trigonal bipyramid,  a cornercorner with one O(3)Al3Cr trigonal pyramid, corners with two equivalent O(6)Al2Cr2 trigonal pyramids, corners with two equivalent O(5)MgAl2Cr trigonal pyramids,  an edgeedge with one O(2)MgAl3Cr trigonal bipyramid,  an edgeedge with one O(3)Al3Cr trigonal pyramid,  an edgeedge with one O(7)Al3Cr trigonal pyramid,  an edgeedge with one O(4)MgAl2Cr trigonal pyramid, and  an edgeedge with one O(5)MgAl2Cr trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_MgAl4Cr2O10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.972
_cell_length_b   5.505
_cell_length_c   7.328
_cell_angle_alpha   69.478
_cell_angle_beta   89.236
_cell_angle_gamma   62.498
_symmetry_Int_Tables_number   1
_cell_volume   163.908
_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  0.782  0.407  0.074  1.0
  Al  Al1  1  0.615  0.758  0.686  1.0
  Al  Al2  1  0.360  0.264  0.777  1.0
  Al  Al3  1  0.580  0.805  0.217  1.0
  Al  Al4  1  0.350  0.283  0.316  1.0
  Cr  Cr5  1  0.984  0.009  0.498  1.0
  Cr  Cr6  1  0.009  0.967  0.970  1.0
  O  O7  1  0.015  0.620  0.650  1.0
  O  O8  1  0.717  0.827  0.939  1.0
  O  O9  1  0.407  0.872  0.431  1.0
  O  O10  1  0.635  0.390  0.827  1.0
  O  O11  1  0.368  0.611  0.163  1.0
  O  O12  1  0.203  0.995  0.734  1.0
  O  O13  1  0.556  0.174  0.560  1.0
  O  O14  1  0.229  0.170  0.033  1.0
  O  O15  1  0.940  0.421  0.320  1.0
  O  O16  1  0.763  0.033  0.238  1.0
[/CIF]
.