The crystal structure described by LiVGaO4 is Spinel-derived 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(10), one O(12), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(2) is bonded to one O(11), one O(4), one O(7), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the third Li site, Li(3) is bonded to one O(14), one O(16), one O(2), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the fourth Li site, Li(4) is bonded to one O(1), one O(13), one O(15), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(11), one O(14), one O(16), one O(2), one O(7), and one O(9) atom to form VO6 octahedra that share corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. In the second V site, V(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(4), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. In the third V site, V(3) is bonded to one O(1), one O(10), one O(12), one O(13), one O(15), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. In the fourth V site, V(4) is bonded to one O(11), one O(13), one O(15), one O(3), one O(5), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(2)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(12), one O(14), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. In the second Ga site, Ga(2) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. In the third Ga site, Ga(3) is bonded to one O(1), one O(15), one O(3), one O(5), one O(7), and one O(9) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(2)O6 octahedra. In the fourth Ga site, Ga(4) is bonded to one O(10), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(1)O6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one V(3), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the second O site, O(2) is bonded to one Li(3), one V(1), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(13)LiV2Ga trigonal pyramids, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with three equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(9)LiV2Ga trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(2), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(9)LiV2Ga trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with three equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(10)LiV2Ga trigonal pyramid,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(3), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with three equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids, corners with two equivalent O(12)LiV2Ga trigonal pyramids, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(2), one V(1), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(9)LiV2Ga trigonal pyramid, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(1), one V(3), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(12)LiV2Ga trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), one V(1), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(1), one V(2), one V(3), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(4), and one Ga(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), one V(3), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one V(3), one V(4), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(15)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(3), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(12)LiV2Ga trigonal pyramids,  an edgeedge with one O(16)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(4), one V(3), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Li(3), one V(1), one V(2), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiVGaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.900
_cell_length_b   5.912
_cell_length_c   5.955
_cell_angle_alpha   60.618
_cell_angle_beta   60.639
_cell_angle_gamma   90.510
_symmetry_Int_Tables_number   1
_cell_volume   148.980
_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  0.001  1.000  0.500  1.0
  Ga  Ga1  1  0.001  0.500  0.500  1.0
  Li  Li2  1  0.383  0.131  0.734  1.0
  Li  Li3  1  0.617  0.868  0.266  1.0
  O  O4  1  0.757  0.729  0.536  1.0
  O  O5  1  0.793  0.263  0.464  1.0
  O  O6  1  0.207  0.737  0.536  1.0
  O  O7  1  0.244  0.272  0.463  1.0
  O  O8  1  0.238  0.714  0.017  1.0
  O  O9  1  0.247  0.274  0.013  1.0
  O  O10  1  0.753  0.726  0.988  1.0
  O  O11  1  0.761  0.286  0.984  1.0
  V  V12  1  0.499  0.499  0.999  1.0
  V  V13  1  0.998  0.500  0.001  1.0
[/CIF]
.
The crystal structure described by LiVGaO4 is Spinel-derived 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(10), one O(12), one O(3), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the second Li site, Li(2) is bonded to one O(11), one O(4), one O(7), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-61°. In the third Li site, Li(3) is bonded to one O(14), one O(16), one O(2), and one O(5) atom to form LiO4 tetrahedra that share  a cornercorner with one V(4)O6 octahedra,  a cornercorner with one Ga(2)O6 octahedra,  a cornercorner with one Ga(3)O6 octahedra, corners with two equivalent V(2)O6 octahedra, corners with two equivalent Ga(1)O6 octahedra, corners with two equivalent Ga(4)O6 octahedra, and corners with three equivalent V(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-62°. In the fourth Li site, Li(4) is bonded to one O(1), one O(13), one O(15), and one O(6) atom to form LiO4 tetrahedra that share  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one Ga(1)O6 octahedra,  a cornercorner with one Ga(4)O6 octahedra, corners with two equivalent V(4)O6 octahedra, corners with two equivalent Ga(2)O6 octahedra, corners with two equivalent Ga(3)O6 octahedra, and corners with three equivalent V(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-61°. There are four inequivalent V sites. In the first V site, V(1) is bonded to one O(11), one O(14), one O(16), one O(2), one O(7), and one O(9) atom to form VO6 octahedra that share corners with three equivalent Li(2)O4 tetrahedra, corners with three equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. In the second V site, V(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(4), and one O(6) atom to form VO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(1)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. In the third V site, V(3) is bonded to one O(1), one O(10), one O(12), one O(13), one O(15), and one O(8) atom to form VO6 octahedra that share corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(2)O6 octahedra,  an edgeedge with one V(4)O6 octahedra,  an edgeedge with one Ga(1)O6 octahedra,  an edgeedge with one Ga(2)O6 octahedra,  an edgeedge with one Ga(3)O6 octahedra, and  an edgeedge with one Ga(4)O6 octahedra. In the fourth V site, V(4) is bonded to one O(11), one O(13), one O(15), one O(3), one O(5), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent Ga(2)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. There are four inequivalent Ga sites. In the first Ga site, Ga(1) is bonded to one O(12), one O(14), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(4)O6 octahedra. In the second Ga site, Ga(2) is bonded to one O(1), one O(11), one O(13), one O(3), one O(5), and one O(7) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(3)O6 octahedra. In the third Ga site, Ga(3) is bonded to one O(1), one O(15), one O(3), one O(5), one O(7), and one O(9) atom to form GaO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(4)O6 octahedra, and edges with two equivalent Ga(2)O6 octahedra. In the fourth Ga site, Ga(4) is bonded to one O(10), one O(16), one O(2), one O(4), one O(6), and one O(8) atom to form GaO6 octahedra that share  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, corners with two equivalent Li(3)O4 tetrahedra,  an edgeedge with one V(1)O6 octahedra,  an edgeedge with one V(3)O6 octahedra, edges with two equivalent V(2)O6 octahedra, and edges with two equivalent Ga(1)O6 octahedra. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one V(3), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the second O site, O(2) is bonded to one Li(3), one V(1), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(13)LiV2Ga trigonal pyramids, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with three equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(9)LiV2Ga trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(2), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(9)LiV2Ga trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with three equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(10)LiV2Ga trigonal pyramid,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(3), one V(4), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 trigonal pyramids that share corners with two equivalent O(7)LiVGa2 tetrahedra,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with three equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(15)LiV2Ga trigonal pyramid, and  an edgeedge with one O(1)LiVGa2 trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(4), one V(2), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share corners with three equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids, corners with two equivalent O(12)LiV2Ga trigonal pyramids, corners with two equivalent O(8)LiVGa2 trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(16)LiV2Ga trigonal pyramid, and  an edgeedge with one O(2)LiVGa2 trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(2), one V(1), one Ga(2), and one Ga(3) atom to form distorted OLiVGa2 tetrahedra that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(1)LiVGa2 trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(9)LiV2Ga trigonal pyramid, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(1), one V(3), one Ga(1), and one Ga(4) atom to form distorted OLiVGa2 trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid, corners with two equivalent O(2)LiVGa2 trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(12)LiV2Ga trigonal pyramid. In the ninth O site, O(9) is bonded to one Li(2), one V(1), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(4)LiVGa2 tetrahedra,  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid, corners with two equivalent O(15)LiV2Ga trigonal pyramids, corners with two equivalent O(5)LiVGa2 trigonal pyramids,  an edgeedge with one O(7)LiVGa2 tetrahedra, and  an edgeedge with one O(3)LiVGa2 trigonal pyramid. In the tenth O site, O(10) is bonded to one Li(1), one V(2), one V(3), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(16)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(12)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(2), one V(1), one V(4), and one Ga(2) atom. In the twelfth O site, O(12) is bonded to one Li(1), one V(2), one V(3), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(3)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(14)LiV2Ga trigonal pyramids, corners with two equivalent O(6)LiVGa2 trigonal pyramids,  an edgeedge with one O(4)LiVGa2 tetrahedra,  an edgeedge with one O(10)LiV2Ga trigonal pyramid, and  an edgeedge with one O(8)LiVGa2 trigonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(4), one V(3), one V(4), and one Ga(2) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(15)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(15)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the fourteenth O site, O(14) is bonded to one Li(3), one V(1), one V(2), and one Ga(1) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(16)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(12)LiV2Ga trigonal pyramids,  an edgeedge with one O(16)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. In the fifteenth O site, O(15) is bonded to one Li(4), one V(3), one V(4), and one Ga(3) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra,  a cornercorner with one O(10)LiV2Ga trigonal pyramid,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(13)LiV2Ga trigonal pyramid,  a cornercorner with one O(1)LiVGa2 trigonal pyramid,  a cornercorner with one O(6)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(9)LiV2Ga trigonal pyramids, corners with two equivalent O(3)LiVGa2 trigonal pyramids,  an edgeedge with one O(13)LiV2Ga trigonal pyramid,  an edgeedge with one O(1)LiVGa2 trigonal pyramid, and  an edgeedge with one O(5)LiVGa2 trigonal pyramid. In the sixteenth O site, O(16) is bonded to one Li(3), one V(1), one V(2), and one Ga(4) atom to form distorted OLiV2Ga trigonal pyramids that share  a cornercorner with one O(7)LiVGa2 tetrahedra, corners with two equivalent O(4)LiVGa2 tetrahedra,  a cornercorner with one O(12)LiV2Ga trigonal pyramid,  a cornercorner with one O(14)LiV2Ga trigonal pyramid,  a cornercorner with one O(9)LiV2Ga trigonal pyramid,  a cornercorner with one O(2)LiVGa2 trigonal pyramid,  a cornercorner with one O(5)LiVGa2 trigonal pyramid,  a cornercorner with one O(8)LiVGa2 trigonal pyramid, corners with two equivalent O(10)LiV2Ga trigonal pyramids,  an edgeedge with one O(14)LiV2Ga trigonal pyramid,  an edgeedge with one O(2)LiVGa2 trigonal pyramid, and  an edgeedge with one O(6)LiVGa2 trigonal pyramid. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiVGaO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.900
_cell_length_b   5.912
_cell_length_c   5.955
_cell_angle_alpha   60.618
_cell_angle_beta   60.639
_cell_angle_gamma   90.510
_symmetry_Int_Tables_number   1
_cell_volume   148.980
_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  0.001  1.000  0.500  1.0
  Ga  Ga1  1  0.001  0.500  0.500  1.0
  Li  Li2  1  0.383  0.131  0.734  1.0
  Li  Li3  1  0.617  0.868  0.266  1.0
  O  O4  1  0.757  0.729  0.536  1.0
  O  O5  1  0.793  0.263  0.464  1.0
  O  O6  1  0.207  0.737  0.536  1.0
  O  O7  1  0.244  0.272  0.463  1.0
  O  O8  1  0.238  0.714  0.017  1.0
  O  O9  1  0.247  0.274  0.013  1.0
  O  O10  1  0.753  0.726  0.988  1.0
  O  O11  1  0.761  0.286  0.984  1.0
  V  V12  1  0.499  0.499  0.999  1.0
  V  V13  1  0.998  0.500  0.001  1.0
[/CIF]
.