The structure described by Li4CrGa3O8 is Stannite-like structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(4), one O(7), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(1), one O(3), one O(5), and one O(6) atom to form LiO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the third Li site, Li(3) is bonded to one O(3), one O(4), one O(6), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(5), and one O(7) atom to form LiO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. Cr(1) is bonded to one O(1), one O(2), one O(6), and one O(8) atom to form CrO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, and corners with two equivalent Ga(2)O4 tetrahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(1), one O(3), one O(7), and one O(8) atom to form GaO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the second Ga site, Ga(2) is bonded to one O(2), one O(4), one O(5), and one O(6) atom to form GaO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the third Ga site, Ga(3) is bonded to one O(3), one O(4), one O(5), and one O(7) atom to form GaO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, and corners with two equivalent Ga(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Cr(1), and one Ga(1) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the second O site, O(2) is bonded to one Li(1), one Li(4), one Cr(1), and one Ga(2) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Ga(1), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Ga(2), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Ga(2), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Cr(1), and one Ga(2) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(5)Li2Ga2 tetrahedra. In the seventh O site, O(7) is bonded to one Li(1), one Li(4), one Ga(1), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(5)Li2Ga2 tetrahedra. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Cr(1), and one Ga(1) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. is represented by the CIF file [CIF]
data_Li4CrGa3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.029
_cell_length_b   5.553
_cell_length_c   6.507
_cell_angle_alpha   91.919
_cell_angle_beta   90.205
_cell_angle_gamma   90.067
_symmetry_Int_Tables_number   1
_cell_volume   181.626
_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
  Cr  Cr0  1  0.509  0.086  0.881  1.0
  Ga  Ga1  1  0.999  0.909  0.133  1.0
  Ga  Ga2  1  0.502  0.589  0.620  1.0
  Ga  Ga3  1  0.000  0.417  0.371  1.0
  Li  Li4  1  0.009  0.920  0.625  1.0
  Li  Li5  1  0.504  0.582  0.122  1.0
  Li  Li6  1  0.010  0.420  0.871  1.0
  Li  Li7  1  0.504  0.083  0.380  1.0
  O  O8  1  0.624  0.915  0.121  1.0
  O  O9  1  0.608  0.913  0.635  1.0
  O  O10  1  0.108  0.588  0.139  1.0
  O  O11  1  0.129  0.573  0.610  1.0
  O  O12  1  0.628  0.429  0.380  1.0
  O  O13  1  0.607  0.418  0.847  1.0
  O  O14  1  0.106  0.094  0.365  1.0
  O  O15  1  0.128  0.064  0.900  1.0
[/CIF]
.
The structure described by Li4CrGa3O8 is Stannite-like structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(4), one O(7), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(1), one O(3), one O(5), and one O(6) atom to form LiO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the third Li site, Li(3) is bonded to one O(3), one O(4), one O(6), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the fourth Li site, Li(4) is bonded to one O(1), one O(2), one O(5), and one O(7) atom to form LiO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ga(2)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. Cr(1) is bonded to one O(1), one O(2), one O(6), and one O(8) atom to form CrO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, and corners with two equivalent Ga(2)O4 tetrahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(1), one O(3), one O(7), and one O(8) atom to form GaO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the second Ga site, Ga(2) is bonded to one O(2), one O(4), one O(5), and one O(6) atom to form GaO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Cr(1)O4 tetrahedra, and corners with two equivalent Ga(3)O4 tetrahedra. In the third Ga site, Ga(3) is bonded to one O(3), one O(4), one O(5), and one O(7) atom to form GaO4 tetrahedra that share corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, and corners with two equivalent Ga(2)O4 tetrahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(4), one Cr(1), and one Ga(1) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the second O site, O(2) is bonded to one Li(1), one Li(4), one Cr(1), and one Ga(2) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the third O site, O(3) is bonded to one Li(2), one Li(3), one Ga(1), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(1), one Li(3), one Ga(2), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(5)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Ga(2), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(2), one Li(3), one Cr(1), and one Ga(2) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(5)Li2Ga2 tetrahedra. In the seventh O site, O(7) is bonded to one Li(1), one Li(4), one Ga(1), and one Ga(3) atom to form OLi2Ga2 tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(8)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(5)Li2Ga2 tetrahedra. In the eighth O site, O(8) is bonded to one Li(1), one Li(3), one Cr(1), and one Ga(1) atom to form OLi2CrGa tetrahedra that share corners with two equivalent O(1)Li2CrGa tetrahedra, corners with two equivalent O(2)Li2CrGa tetrahedra, corners with two equivalent O(6)Li2CrGa tetrahedra, corners with two equivalent O(3)Li2Ga2 tetrahedra, corners with two equivalent O(4)Li2Ga2 tetrahedra, and corners with two equivalent O(7)Li2Ga2 tetrahedra. is represented by the CIF file [CIF]
data_Li4CrGa3O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.029
_cell_length_b   5.553
_cell_length_c   6.507
_cell_angle_alpha   91.919
_cell_angle_beta   90.205
_cell_angle_gamma   90.067
_symmetry_Int_Tables_number   1
_cell_volume   181.626
_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
  Cr  Cr0  1  0.509  0.086  0.881  1.0
  Ga  Ga1  1  0.999  0.909  0.133  1.0
  Ga  Ga2  1  0.502  0.589  0.620  1.0
  Ga  Ga3  1  0.000  0.417  0.371  1.0
  Li  Li4  1  0.009  0.920  0.625  1.0
  Li  Li5  1  0.504  0.582  0.122  1.0
  Li  Li6  1  0.010  0.420  0.871  1.0
  Li  Li7  1  0.504  0.083  0.380  1.0
  O  O8  1  0.624  0.915  0.121  1.0
  O  O9  1  0.608  0.913  0.635  1.0
  O  O10  1  0.108  0.588  0.139  1.0
  O  O11  1  0.129  0.573  0.610  1.0
  O  O12  1  0.628  0.429  0.380  1.0
  O  O13  1  0.607  0.418  0.847  1.0
  O  O14  1  0.106  0.094  0.365  1.0
  O  O15  1  0.128  0.064  0.900  1.0
[/CIF]
.