The material described by Li4Cr3GaO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(6), one O(7), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Li site, Li(3) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)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 range from 5-6°. In the fourth Li site, Li(4) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(7) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fifth Li site, Li(5) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(3), one O(4), one O(6), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Cr site, Cr(2) is bonded to one O(1), one O(4), one O(6), one O(7), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(6), one O(8), and two equivalent O(3) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)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 range from 5-6°. Ga(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(7) atoms to form GaO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)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 5°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(4), one Cr(2), one Cr(3), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr2Ga octahedra, edges with two equivalent O(4)Li3Cr2Ga octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3CrGa2 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(5), one Cr(1), one Cr(3), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(1)Li3Cr2Ga octahedra, edges with two equivalent O(5)Li3Cr2Ga octahedra, edges with two equivalent O(6)Li3Cr3 octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(5), one Cr(1), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Ga octahedra, edges with three equivalent O(2)Li3Cr2Ga octahedra, and edges with three equivalent O(6)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(1)Li3Cr2Ga octahedra, edges with three equivalent O(5)Li3Cr2Ga octahedra, and edges with three equivalent O(7)Li3CrGa2 octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to one Li(3), two equivalent Li(2), two equivalent Cr(1), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(2)Li3Cr2Ga octahedra, edges with two equivalent O(5)Li3Cr2Ga octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, and edges with three equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(5), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(5)Li3Cr2Ga octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(2)Li3Cr2Ga octahedra, edges with three equivalent O(3)Li3Cr3 octahedra, and edges with three equivalent O(8)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Li(4), one Cr(2), and two equivalent Ga(1) atoms to form OLi3CrGa2 octahedra that share  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(2)Li3Cr2Ga octahedra,  an edgeedge with one O(5)Li3Cr2Ga octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, edges with three equivalent O(1)Li3Cr2Ga octahedra, and edges with three equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Li(1), one Cr(3), and two equivalent Cr(2) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(2)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra, edges with two equivalent O(1)Li3Cr2Ga octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, edges with two equivalent O(7)Li3CrGa2 octahedra, and edges with three equivalent O(6)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. is represented by the CIF card [CIF]
data_Li4Cr3GaO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.140
_cell_length_b   7.842
_cell_length_c   7.844
_cell_angle_alpha   81.789
_cell_angle_beta   83.762
_cell_angle_gamma   70.925
_symmetry_Int_Tables_number   1
_cell_volume   295.059
_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  1.000  0.875  0.875  1.0
  Li  Li1  1  1.000  0.625  0.625  1.0
  Li  Li2  1  1.000  0.750  0.250  1.0
  Li  Li3  1  0.000  0.250  0.750  1.0
  Li  Li4  1  0.000  0.375  0.375  1.0
  Li  Li5  1  0.000  0.500  0.000  1.0
  Li  Li6  1  0.000  0.000  0.500  1.0
  Li  Li7  1  0.000  0.125  0.125  1.0
  Cr  Cr8  1  0.500  0.687  0.438  1.0
  Cr  Cr9  1  0.500  0.812  0.062  1.0
  Cr  Cr10  1  0.500  0.313  0.562  1.0
  Cr  Cr11  1  0.500  0.937  0.688  1.0
  Cr  Cr12  1  0.500  0.063  0.312  1.0
  Cr  Cr13  1  0.500  0.188  0.938  1.0
  Ga  Ga14  1  0.500  0.562  0.813  1.0
  Ga  Ga15  1  0.500  0.438  0.187  1.0
  O  O16  1  0.726  0.724  0.845  1.0
  O  O17  1  0.274  0.776  0.655  1.0
  O  O18  1  0.724  0.849  0.470  1.0
  O  O19  1  0.274  0.401  0.780  1.0
  O  O20  1  0.726  0.474  0.595  1.0
  O  O21  1  0.726  0.599  0.220  1.0
  O  O22  1  0.274  0.526  0.405  1.0
  O  O23  1  0.724  0.099  0.720  1.0
  O  O24  1  0.726  0.224  0.345  1.0
  O  O25  1  0.273  0.651  0.030  1.0
  O  O26  1  0.276  0.151  0.530  1.0
  O  O27  1  0.727  0.349  0.970  1.0
  O  O28  1  0.274  0.276  0.155  1.0
  O  O29  1  0.724  0.974  0.095  1.0
  O  O30  1  0.276  0.901  0.280  1.0
  O  O31  1  0.276  0.026  0.905  1.0
[/CIF]
.
The material described by Li4Cr3GaO8 is alpha Po-derived structured and crystallizes in the triclinic P-1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(6), one O(7), and two equivalent O(8) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Cr(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, and edges with three equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(3), one O(4), and two equivalent O(5) atoms to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with three equivalent Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Li site, Li(3) is bonded to one O(3), one O(4), one O(5), one O(6), one O(7), and one O(8) atom to form LiO6 octahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)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 range from 5-6°. In the fourth Li site, Li(4) is bonded to two equivalent O(1), two equivalent O(4), and two equivalent O(7) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and edges with four equivalent Ga(1)O6 octahedra. The corner-sharing octahedral tilt angles are 5°. In the fifth Li site, Li(5) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(6) atoms to form LiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, and edges with four equivalent Cr(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(3), one O(4), one O(6), and two equivalent O(5) atoms to form CrO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  an edgeedge with one Li(5)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with three equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the second Cr site, Cr(2) is bonded to one O(1), one O(4), one O(6), one O(7), and two equivalent O(8) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(2)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with three equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 5-6°. In the third Cr site, Cr(3) is bonded to one O(1), one O(2), one O(6), one O(8), and two equivalent O(3) atoms to form CrO6 octahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(2)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Li(5)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 range from 5-6°. Ga(1) is bonded to one O(1), one O(2), one O(4), one O(5), and two equivalent O(7) atoms to form GaO6 octahedra that share  a cornercorner with one Li(2)O6 octahedra,  a cornercorner with one Li(5)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Li(3)O6 octahedra,  an edgeedge with one Li(1)O6 octahedra,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra, edges with two equivalent Li(2)O6 octahedra, edges with two equivalent Li(4)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 5°. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one Li(2), one Li(4), one Cr(2), one Cr(3), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  an edgeedge with one O(5)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra, edges with two equivalent O(2)Li3Cr2Ga octahedra, edges with two equivalent O(4)Li3Cr2Ga octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, and edges with three equivalent O(7)Li3CrGa2 octahedra. The corner-sharing octahedra are not tilted. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Li(5), one Cr(1), one Cr(3), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(1)Li3Cr2Ga octahedra, edges with two equivalent O(5)Li3Cr2Ga octahedra, edges with two equivalent O(6)Li3Cr3 octahedra, and edges with three equivalent O(3)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Li(5), one Cr(1), and two equivalent Cr(3) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(5)Li3Cr2Ga octahedra, edges with three equivalent O(2)Li3Cr2Ga octahedra, and edges with three equivalent O(6)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Li(4), one Cr(1), one Cr(2), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  an edgeedge with one O(2)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(8)Li3Cr3 octahedra, edges with two equivalent O(1)Li3Cr2Ga octahedra, edges with three equivalent O(5)Li3Cr2Ga octahedra, and edges with three equivalent O(7)Li3CrGa2 octahedra. The corner-sharing octahedra are not tilted. In the fifth O site, O(5) is bonded to one Li(3), two equivalent Li(2), two equivalent Cr(1), and one Ga(1) atom to form OLi3Cr2Ga octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(2)Li3Cr2Ga octahedra, edges with two equivalent O(5)Li3Cr2Ga octahedra, edges with two equivalent O(3)Li3Cr3 octahedra, and edges with three equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedra are not tilted. In the sixth O site, O(6) is bonded to one Li(1), one Li(3), one Li(5), one Cr(1), one Cr(2), and one Cr(3) atom to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(1)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(5)Li3Cr2Ga octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(2)Li3Cr2Ga octahedra, edges with three equivalent O(3)Li3Cr3 octahedra, and edges with three equivalent O(8)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. In the seventh O site, O(7) is bonded to one Li(1), one Li(3), one Li(4), one Cr(2), and two equivalent Ga(1) atoms to form OLi3CrGa2 octahedra that share  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(6)Li3Cr3 octahedra,  a cornercorner with one O(8)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(2)Li3Cr2Ga octahedra,  an edgeedge with one O(5)Li3Cr2Ga octahedra,  an edgeedge with one O(6)Li3Cr3 octahedra,  an edgeedge with one O(7)Li3CrGa2 octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, edges with three equivalent O(1)Li3Cr2Ga octahedra, and edges with three equivalent O(4)Li3Cr2Ga octahedra. The corner-sharing octahedra are not tilted. In the eighth O site, O(8) is bonded to one Li(3), two equivalent Li(1), one Cr(3), and two equivalent Cr(2) atoms to form OLi3Cr3 octahedra that share  a cornercorner with one O(1)Li3Cr2Ga octahedra,  a cornercorner with one O(2)Li3Cr2Ga octahedra,  a cornercorner with one O(4)Li3Cr2Ga octahedra,  a cornercorner with one O(5)Li3Cr2Ga octahedra,  a cornercorner with one O(3)Li3Cr3 octahedra,  a cornercorner with one O(7)Li3CrGa2 octahedra,  an edgeedge with one O(2)Li3Cr2Ga octahedra,  an edgeedge with one O(4)Li3Cr2Ga octahedra,  an edgeedge with one O(3)Li3Cr3 octahedra, edges with two equivalent O(1)Li3Cr2Ga octahedra, edges with two equivalent O(8)Li3Cr3 octahedra, edges with two equivalent O(7)Li3CrGa2 octahedra, and edges with three equivalent O(6)Li3Cr3 octahedra. The corner-sharing octahedra are not tilted. is represented by the CIF card [CIF]
data_Li4Cr3GaO8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.140
_cell_length_b   7.842
_cell_length_c   7.844
_cell_angle_alpha   81.789
_cell_angle_beta   83.762
_cell_angle_gamma   70.925
_symmetry_Int_Tables_number   1
_cell_volume   295.059
_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  1.000  0.875  0.875  1.0
  Li  Li1  1  1.000  0.625  0.625  1.0
  Li  Li2  1  1.000  0.750  0.250  1.0
  Li  Li3  1  0.000  0.250  0.750  1.0
  Li  Li4  1  0.000  0.375  0.375  1.0
  Li  Li5  1  0.000  0.500  0.000  1.0
  Li  Li6  1  0.000  0.000  0.500  1.0
  Li  Li7  1  0.000  0.125  0.125  1.0
  Cr  Cr8  1  0.500  0.687  0.438  1.0
  Cr  Cr9  1  0.500  0.812  0.062  1.0
  Cr  Cr10  1  0.500  0.313  0.562  1.0
  Cr  Cr11  1  0.500  0.937  0.688  1.0
  Cr  Cr12  1  0.500  0.063  0.312  1.0
  Cr  Cr13  1  0.500  0.188  0.938  1.0
  Ga  Ga14  1  0.500  0.562  0.813  1.0
  Ga  Ga15  1  0.500  0.438  0.187  1.0
  O  O16  1  0.726  0.724  0.845  1.0
  O  O17  1  0.274  0.776  0.655  1.0
  O  O18  1  0.724  0.849  0.470  1.0
  O  O19  1  0.274  0.401  0.780  1.0
  O  O20  1  0.726  0.474  0.595  1.0
  O  O21  1  0.726  0.599  0.220  1.0
  O  O22  1  0.274  0.526  0.405  1.0
  O  O23  1  0.724  0.099  0.720  1.0
  O  O24  1  0.726  0.224  0.345  1.0
  O  O25  1  0.273  0.651  0.030  1.0
  O  O26  1  0.276  0.151  0.530  1.0
  O  O27  1  0.727  0.349  0.970  1.0
  O  O28  1  0.274  0.276  0.155  1.0
  O  O29  1  0.724  0.974  0.095  1.0
  O  O30  1  0.276  0.901  0.280  1.0
  O  O31  1  0.276  0.026  0.905  1.0
[/CIF]
.