The crystal structure described by Li5GaO4 is Hazelwoodite-derived structured and crystallizes in the tetragonal P4_22_12 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to four equivalent O(1) atoms to form LiO4 tetrahedra that share corners with four equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra, corners with four equivalent Ga(1)O4 tetrahedra, edges with two equivalent Li(1)O4 tetrahedra, and edges with two equivalent Li(3)O4 tetrahedra. In the second Li site, Li(2) is bonded to four equivalent O(1) atoms to form distorted LiO4 tetrahedra that share corners with four equivalent Li(3)O4 tetrahedra, corners with eight equivalent Li(1)O4 tetrahedra, edges with two equivalent Li(3)O4 tetrahedra, and edges with two equivalent Ga(1)O4 tetrahedra. In the third Li site, Li(3) is bonded to four equivalent O(1) atoms to form LiO4 tetrahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra,  an edgeedge with one Li(2)O4 tetrahedra,  an edgeedge with one Ga(1)O4 tetrahedra, and edges with two equivalent Li(1)O4 tetrahedra. Ga(1) is bonded to four equivalent O(1) atoms to form GaO4 tetrahedra that share corners with four equivalent Li(3)O4 tetrahedra, corners with eight equivalent Li(1)O4 tetrahedra, edges with two equivalent Li(2)O4 tetrahedra, and edges with two equivalent Li(3)O4 tetrahedra. O(1) is bonded in a distorted hexagonal planar geometry to one Li(2), two equivalent Li(1), two equivalent Li(3), and one Ga(1) atom. is represented by the CIF file [CIF]
data_Li5GaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.431
_cell_length_b   6.431
_cell_length_c   4.744
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   196.220
_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  0.000  0.500  0.976  1.0
  Li  Li1  1  0.500  0.000  0.024  1.0
  Li  Li2  1  0.500  0.500  0.000  1.0
  Li  Li3  1  0.736  0.264  0.000  1.0
  Li  Li4  1  0.264  0.736  0.000  1.0
  Li  Li5  1  0.236  0.236  0.500  1.0
  Li  Li6  1  0.500  0.000  0.524  1.0
  Li  Li7  1  0.000  0.000  0.500  1.0
  Li  Li8  1  0.764  0.764  0.500  1.0
  Li  Li9  1  0.000  0.500  0.476  1.0
  Ga  Ga10  1  0.000  0.000  0.000  1.0
  Ga  Ga11  1  0.500  0.500  0.500  1.0
  O  O12  1  0.761  0.005  0.769  1.0
  O  O13  1  0.739  0.505  0.731  1.0
  O  O14  1  0.239  0.995  0.769  1.0
  O  O15  1  0.261  0.495  0.731  1.0
  O  O16  1  0.495  0.261  0.269  1.0
  O  O17  1  0.505  0.739  0.269  1.0
  O  O18  1  0.995  0.239  0.231  1.0
  O  O19  1  0.005  0.761  0.231  1.0
[/CIF]
.
The crystal structure described by Li5GaO4 is Hazelwoodite-derived structured and crystallizes in the tetragonal P4_22_12 space group. There are three inequivalent Li sites. In the first Li site, Li(1) is bonded to four equivalent O(1) atoms to form LiO4 tetrahedra that share corners with four equivalent Li(2)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra, corners with four equivalent Ga(1)O4 tetrahedra, edges with two equivalent Li(1)O4 tetrahedra, and edges with two equivalent Li(3)O4 tetrahedra. In the second Li site, Li(2) is bonded to four equivalent O(1) atoms to form distorted LiO4 tetrahedra that share corners with four equivalent Li(3)O4 tetrahedra, corners with eight equivalent Li(1)O4 tetrahedra, edges with two equivalent Li(3)O4 tetrahedra, and edges with two equivalent Ga(1)O4 tetrahedra. In the third Li site, Li(3) is bonded to four equivalent O(1) atoms to form LiO4 tetrahedra that share corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with four equivalent Li(1)O4 tetrahedra, corners with four equivalent Li(3)O4 tetrahedra,  an edgeedge with one Li(2)O4 tetrahedra,  an edgeedge with one Ga(1)O4 tetrahedra, and edges with two equivalent Li(1)O4 tetrahedra. Ga(1) is bonded to four equivalent O(1) atoms to form GaO4 tetrahedra that share corners with four equivalent Li(3)O4 tetrahedra, corners with eight equivalent Li(1)O4 tetrahedra, edges with two equivalent Li(2)O4 tetrahedra, and edges with two equivalent Li(3)O4 tetrahedra. O(1) is bonded in a distorted hexagonal planar geometry to one Li(2), two equivalent Li(1), two equivalent Li(3), and one Ga(1) atom. is represented by the CIF file [CIF]
data_Li5GaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.431
_cell_length_b   6.431
_cell_length_c   4.744
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   196.220
_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  0.000  0.500  0.976  1.0
  Li  Li1  1  0.500  0.000  0.024  1.0
  Li  Li2  1  0.500  0.500  0.000  1.0
  Li  Li3  1  0.736  0.264  0.000  1.0
  Li  Li4  1  0.264  0.736  0.000  1.0
  Li  Li5  1  0.236  0.236  0.500  1.0
  Li  Li6  1  0.500  0.000  0.524  1.0
  Li  Li7  1  0.000  0.000  0.500  1.0
  Li  Li8  1  0.764  0.764  0.500  1.0
  Li  Li9  1  0.000  0.500  0.476  1.0
  Ga  Ga10  1  0.000  0.000  0.000  1.0
  Ga  Ga11  1  0.500  0.500  0.500  1.0
  O  O12  1  0.761  0.005  0.769  1.0
  O  O13  1  0.739  0.505  0.731  1.0
  O  O14  1  0.239  0.995  0.769  1.0
  O  O15  1  0.261  0.495  0.731  1.0
  O  O16  1  0.495  0.261  0.269  1.0
  O  O17  1  0.505  0.739  0.269  1.0
  O  O18  1  0.995  0.239  0.231  1.0
  O  O19  1  0.005  0.761  0.231  1.0
[/CIF]
.