The material structure described by LiVGaO4 is Spinel-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form LiO4 tetrahedra that share corners with three V(1,1)O6 octahedra; corners with three V(2,2)O6 octahedra; corners with three equivalent Ga(1)O6 octahedra; and corners with three Ga(2,2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form LiO4 tetrahedra that share corners with three V(1,1)O6 octahedra; corners with three V(2,2)O6 octahedra; corners with three equivalent Ga(1)O6 octahedra; and corners with three Ga(2,2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. There are four inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(2)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. In the second V site, V(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. In the third V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(2)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. In the fourth V site, V(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two O(1,1); two O(2,2); and two O(4,4) atoms to form GaO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two V(1,1)O6 octahedra; edges with two V(2,2)O6 octahedra; and edges with two Ga(2,2)O6 octahedra. In the second Ga site, Ga(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form GaO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent V(2)O6 octahedra; and edges with two equivalent Ga(1)O6 octahedra. In the third Ga site, Ga(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form GaO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent V(2)O6 octahedra; and edges with two equivalent Ga(1)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one V(1), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the second O site, O(1) is bonded to one Li(1), one V(1), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the third O site, O(2) is bonded to one Li(1), one V(2), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the fourth O site, O(2) is bonded to one Li(1), one V(2), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the fifth O site, O(3) is bonded to one Li(1), one V(1), one V(2), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three equivalent O(3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(4)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the sixth O site, O(3) is bonded to one Li(1), one V(1), one V(2), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three equivalent O(3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(4)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the seventh O site, O(4) is bonded to one Li(1), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the eighth O site, O(4) is bonded to one Li(1), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. is represented by the CIF card [CIF]
data_LiVGaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.884
_cell_length_b   5.963
_cell_length_c   5.891
_cell_angle_alpha   60.843
_cell_angle_beta   89.259
_cell_angle_gamma   119.114
_symmetry_Int_Tables_number   1
_cell_volume   148.986
_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
  Ga  Ga0  1  0.500  0.500  0.500  1.0
  Ga  Ga1  1  0.500  0.500  1.000  1.0
  Li  Li2  1  0.116  0.731  0.134  1.0
  Li  Li3  1  0.884  0.269  0.866  1.0
  O  O4  1  0.293  0.535  0.740  1.0
  O  O5  1  0.257  0.465  0.275  1.0
  O  O6  1  0.743  0.535  0.725  1.0
  O  O7  1  0.707  0.465  0.260  1.0
  O  O8  1  0.248  0.013  0.273  1.0
  O  O9  1  0.265  0.013  0.715  1.0
  O  O10  1  0.735  0.987  0.285  1.0
  O  O11  1  0.752  0.987  0.727  1.0
  V  V12  1  0.500  1.000  0.500  1.0
  V  V13  1  1.000  1.000  0.500  1.0
[/CIF]
.
The material structure described by LiVGaO4 is Spinel-derived structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form LiO4 tetrahedra that share corners with three V(1,1)O6 octahedra; corners with three V(2,2)O6 octahedra; corners with three equivalent Ga(1)O6 octahedra; and corners with three Ga(2,2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form LiO4 tetrahedra that share corners with three V(1,1)O6 octahedra; corners with three V(2,2)O6 octahedra; corners with three equivalent Ga(1)O6 octahedra; and corners with three Ga(2,2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. There are four inequivalent V sites. In the first V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(2)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. In the second V site, V(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. In the third V site, V(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(2)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. In the fourth V site, V(2) is bonded to two equivalent O(2), two equivalent O(3), and two equivalent O(4) atoms to form VO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent Ga(1)O6 octahedra; and edges with two equivalent Ga(2)O6 octahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to two O(1,1); two O(2,2); and two O(4,4) atoms to form GaO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two V(1,1)O6 octahedra; edges with two V(2,2)O6 octahedra; and edges with two Ga(2,2)O6 octahedra. In the second Ga site, Ga(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form GaO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent V(2)O6 octahedra; and edges with two equivalent Ga(1)O6 octahedra. In the third Ga site, Ga(2) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(3) atoms to form GaO6 octahedra that share corners with six Li(1,1)O4 tetrahedra; edges with two equivalent V(1)O6 octahedra; edges with two equivalent V(2)O6 octahedra; and edges with two equivalent Ga(1)O6 octahedra. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(1), one V(1), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the second O site, O(1) is bonded to one Li(1), one V(1), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the third O site, O(2) is bonded to one Li(1), one V(2), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the fourth O site, O(2) is bonded to one Li(1), one V(2), one Ga(1), and one Ga(2) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(4)LiV2Ga trigonal pyramid; and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the fifth O site, O(3) is bonded to one Li(1), one V(1), one V(2), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three equivalent O(3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(4)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the sixth O site, O(3) is bonded to one Li(1), one V(1), one V(2), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three equivalent O(3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(4)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the seventh O site, O(4) is bonded to one Li(1), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the eighth O site, O(4) is bonded to one Li(1), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share corners with three O(3,3)LiV2Ga trigonal pyramids; corners with three O(4,4)LiV2Ga trigonal pyramids; corners with three O(1,1)LiVGa2 trigonal pyramids; corners with three O(2,2)LiVGa2 trigonal pyramids;  an edgeedge with one O(3)LiV2Ga trigonal pyramid;  an edgeedge with one O(1)LiVGa2 trigonal pyramid; and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. is represented by the CIF card [CIF]
data_LiVGaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.884
_cell_length_b   5.963
_cell_length_c   5.891
_cell_angle_alpha   60.843
_cell_angle_beta   89.259
_cell_angle_gamma   119.114
_symmetry_Int_Tables_number   1
_cell_volume   148.986
_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
  Ga  Ga0  1  0.500  0.500  0.500  1.0
  Ga  Ga1  1  0.500  0.500  1.000  1.0
  Li  Li2  1  0.116  0.731  0.134  1.0
  Li  Li3  1  0.884  0.269  0.866  1.0
  O  O4  1  0.293  0.535  0.740  1.0
  O  O5  1  0.257  0.465  0.275  1.0
  O  O6  1  0.743  0.535  0.725  1.0
  O  O7  1  0.707  0.465  0.260  1.0
  O  O8  1  0.248  0.013  0.273  1.0
  O  O9  1  0.265  0.013  0.715  1.0
  O  O10  1  0.735  0.987  0.285  1.0
  O  O11  1  0.752  0.987  0.727  1.0
  V  V12  1  0.500  1.000  0.500  1.0
  V  V13  1  1.000  1.000  0.500  1.0
[/CIF]
.