The crystal structure described by Li2Cr2AlSbO8 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(7), and two equivalent O(12) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra, and corners with four equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(2) is bonded to one O(8), one O(9), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Al(1)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. In the third Li site, Li(3) is bonded to one O(1), one O(3), and two equivalent O(4) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-63°. In the fourth Li site, Li(4) is bonded in a rectangular see-saw-like geometry to one O(2), one O(5), and two equivalent O(6) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(7), two equivalent O(10), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sb(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(5), one O(6), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the third Cr site, Cr(3) is bonded to one O(2), one O(8), two equivalent O(12), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, edges with four equivalent Al(1)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. Al(1) is bonded to one O(11), one O(12), one O(2), one O(3), one O(4), and one O(8) atom to form AlO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Al(1)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(3), one O(9), two equivalent O(10), and two equivalent O(4) atoms to form SbO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Al(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  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 50-54°. In the second Sb site, Sb(2) is bonded to one O(11), one O(5), two equivalent O(12), and two equivalent O(6) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Cr(1), and two equivalent Cr(2) atoms to form OLiCr3 tetrahedra that share corners with two equivalent O(9)LiCr2Sb tetrahedra and corners with three equivalent O(7)LiCr3 trigonal pyramids. In the second O site, O(2) is bonded to one Li(4), one Cr(3), and two equivalent Al(1) atoms to form OLiAl2Cr tetrahedra that share corners with two equivalent O(11)LiAl2Sb trigonal pyramids and corners with three equivalent O(8)LiAl2Cr trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Al(1), and one Sb(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Al(1), and one Sb(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Cr(2), and one Sb(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(1), one Cr(2), and one Sb(2) atom. In the seventh O site, O(7) is bonded to one Li(1), one Cr(1), and two equivalent Cr(2) atoms to form distorted OLiCr3 trigonal pyramids that share corners with three equivalent O(1)LiCr3 tetrahedra,  a cornercorner with one O(11)LiAl2Sb trigonal pyramid, and  an edgeedge with one O(9)LiCr2Sb tetrahedra. In the eighth O site, O(8) is bonded to one Li(2), one Cr(3), and two equivalent Al(1) atoms to form distorted OLiAl2Cr trigonal pyramids that share  a cornercorner with one O(9)LiCr2Sb tetrahedra, corners with three equivalent O(2)LiAl2Cr tetrahedra, and  an edgeedge with one O(11)LiAl2Sb trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), two equivalent Cr(2), and one Sb(1) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(1)LiCr3 tetrahedra,  a cornercorner with one O(8)LiAl2Cr trigonal pyramid, and  an edgeedge with one O(7)LiCr3 trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Sb(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), two equivalent Al(1), and one Sb(2) atom to form distorted OLiAl2Sb trigonal pyramids that share corners with two equivalent O(2)LiAl2Cr tetrahedra,  a cornercorner with one O(7)LiCr3 trigonal pyramid, and  an edgeedge with one O(8)LiAl2Cr trigonal pyramid. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(3), one Al(1), and one Sb(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2AlCr2SbO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.921
_cell_length_b   5.921
_cell_length_c   9.609
_cell_angle_alpha   89.701
_cell_angle_beta   89.701
_cell_angle_gamma   59.568
_symmetry_Int_Tables_number   1
_cell_volume   290.467
_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
  Li  Li0  1  0.334  0.334  0.601  1.0
  Li  Li1  1  0.665  0.665  0.096  1.0
  Li  Li2  1  0.002  0.002  0.007  1.0
  Li  Li3  1  1.000  1.000  0.515  1.0
  Al  Al4  1  0.341  0.829  0.786  1.0
  Al  Al5  1  0.829  0.341  0.786  1.0
  Cr  Cr6  1  0.170  0.170  0.286  1.0
  Cr  Cr7  1  0.660  0.169  0.286  1.0
  Cr  Cr8  1  0.169  0.660  0.286  1.0
  Cr  Cr9  1  0.829  0.829  0.786  1.0
  Sb  Sb10  1  0.334  0.334  0.010  1.0
  Sb  Sb11  1  0.665  0.665  0.515  1.0
  O  O12  1  0.001  0.001  0.192  1.0
  O  O13  1  0.009  0.009  0.704  1.0
  O  O14  1  0.168  0.168  0.898  1.0
  O  O15  1  0.672  0.173  0.900  1.0
  O  O16  1  0.173  0.672  0.900  1.0
  O  O17  1  0.835  0.835  0.408  1.0
  O  O18  1  0.329  0.834  0.406  1.0
  O  O19  1  0.834  0.329  0.406  1.0
  O  O20  1  0.332  0.332  0.393  1.0
  O  O21  1  0.658  0.658  0.886  1.0
  O  O22  1  0.482  0.482  0.155  1.0
  O  O23  1  0.035  0.484  0.155  1.0
  O  O24  1  0.484  0.035  0.155  1.0
  O  O25  1  0.518  0.518  0.661  1.0
  O  O26  1  0.962  0.512  0.660  1.0
  O  O27  1  0.512  0.962  0.660  1.0
[/CIF]
.
The crystal structure described by Li2Cr2AlSbO8 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(7), and two equivalent O(12) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with three equivalent Sb(2)O6 octahedra, and corners with four equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(2) is bonded to one O(8), one O(9), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Al(1)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. In the third Li site, Li(3) is bonded to one O(1), one O(3), and two equivalent O(4) atoms to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Sb(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-63°. In the fourth Li site, Li(4) is bonded in a rectangular see-saw-like geometry to one O(2), one O(5), and two equivalent O(6) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(7), two equivalent O(10), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sb(1)O6 octahedra, and edges with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(5), one O(6), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Sb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Sb(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. In the third Cr site, Cr(3) is bonded to one O(2), one O(8), two equivalent O(12), and two equivalent O(4) atoms to form CrO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, edges with four equivalent Al(1)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 54°. Al(1) is bonded to one O(11), one O(12), one O(2), one O(3), one O(4), and one O(8) atom to form AlO6 octahedra that share corners with two equivalent Sb(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Sb(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Al(1)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Sb sites. In the first Sb site, Sb(1) is bonded to one O(3), one O(9), two equivalent O(10), and two equivalent O(4) atoms to form SbO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with four equivalent Al(1)O6 octahedra, corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  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 50-54°. In the second Sb site, Sb(2) is bonded to one O(11), one O(5), two equivalent O(12), and two equivalent O(6) atoms to form SbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra, and edges with two equivalent Al(1)O6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(3), one Cr(1), and two equivalent Cr(2) atoms to form OLiCr3 tetrahedra that share corners with two equivalent O(9)LiCr2Sb tetrahedra and corners with three equivalent O(7)LiCr3 trigonal pyramids. In the second O site, O(2) is bonded to one Li(4), one Cr(3), and two equivalent Al(1) atoms to form OLiAl2Cr tetrahedra that share corners with two equivalent O(11)LiAl2Sb trigonal pyramids and corners with three equivalent O(8)LiAl2Cr trigonal pyramids. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(3), two equivalent Al(1), and one Sb(1) atom. In the fourth O site, O(4) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Al(1), and one Sb(1) atom. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(4), two equivalent Cr(2), and one Sb(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(1), one Cr(2), and one Sb(2) atom. In the seventh O site, O(7) is bonded to one Li(1), one Cr(1), and two equivalent Cr(2) atoms to form distorted OLiCr3 trigonal pyramids that share corners with three equivalent O(1)LiCr3 tetrahedra,  a cornercorner with one O(11)LiAl2Sb trigonal pyramid, and  an edgeedge with one O(9)LiCr2Sb tetrahedra. In the eighth O site, O(8) is bonded to one Li(2), one Cr(3), and two equivalent Al(1) atoms to form distorted OLiAl2Cr trigonal pyramids that share  a cornercorner with one O(9)LiCr2Sb tetrahedra, corners with three equivalent O(2)LiAl2Cr tetrahedra, and  an edgeedge with one O(11)LiAl2Sb trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), two equivalent Cr(2), and one Sb(1) atom to form distorted OLiCr2Sb tetrahedra that share corners with two equivalent O(1)LiCr3 tetrahedra,  a cornercorner with one O(8)LiAl2Cr trigonal pyramid, and  an edgeedge with one O(7)LiCr3 trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Sb(1) atom. In the eleventh O site, O(11) is bonded to one Li(1), two equivalent Al(1), and one Sb(2) atom to form distorted OLiAl2Sb trigonal pyramids that share corners with two equivalent O(2)LiAl2Cr tetrahedra,  a cornercorner with one O(7)LiCr3 trigonal pyramid, and  an edgeedge with one O(8)LiAl2Cr trigonal pyramid. In the twelfth O site, O(12) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Cr(3), one Al(1), and one Sb(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li2AlCr2SbO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.921
_cell_length_b   5.921
_cell_length_c   9.609
_cell_angle_alpha   89.701
_cell_angle_beta   89.701
_cell_angle_gamma   59.568
_symmetry_Int_Tables_number   1
_cell_volume   290.467
_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
  Li  Li0  1  0.334  0.334  0.601  1.0
  Li  Li1  1  0.665  0.665  0.096  1.0
  Li  Li2  1  0.002  0.002  0.007  1.0
  Li  Li3  1  1.000  1.000  0.515  1.0
  Al  Al4  1  0.341  0.829  0.786  1.0
  Al  Al5  1  0.829  0.341  0.786  1.0
  Cr  Cr6  1  0.170  0.170  0.286  1.0
  Cr  Cr7  1  0.660  0.169  0.286  1.0
  Cr  Cr8  1  0.169  0.660  0.286  1.0
  Cr  Cr9  1  0.829  0.829  0.786  1.0
  Sb  Sb10  1  0.334  0.334  0.010  1.0
  Sb  Sb11  1  0.665  0.665  0.515  1.0
  O  O12  1  0.001  0.001  0.192  1.0
  O  O13  1  0.009  0.009  0.704  1.0
  O  O14  1  0.168  0.168  0.898  1.0
  O  O15  1  0.672  0.173  0.900  1.0
  O  O16  1  0.173  0.672  0.900  1.0
  O  O17  1  0.835  0.835  0.408  1.0
  O  O18  1  0.329  0.834  0.406  1.0
  O  O19  1  0.834  0.329  0.406  1.0
  O  O20  1  0.332  0.332  0.393  1.0
  O  O21  1  0.658  0.658  0.886  1.0
  O  O22  1  0.482  0.482  0.155  1.0
  O  O23  1  0.035  0.484  0.155  1.0
  O  O24  1  0.484  0.035  0.155  1.0
  O  O25  1  0.518  0.518  0.661  1.0
  O  O26  1  0.962  0.512  0.660  1.0
  O  O27  1  0.512  0.962  0.660  1.0
[/CIF]
.