The material described by Li5Ga(GeO4)2 is beta beryllia-derived structured and crystallizes in the monoclinic P2_1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(3), one O(6), and one O(7) atom to form LiO4 trigonal pyramids that share corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra,  an edgeedge with one Li(3)O4 tetrahedra, and  an edgeedge with one Li(4)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(1), one O(4), one O(5), and one O(8) atom to form LiO4 trigonal pyramids that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra,  an edgeedge with one Li(5)O4 tetrahedra, and  an edgeedge with one Ga(1)O4 tetrahedra. In the third Li site, Li(3) is bonded to one O(2), one O(3), one O(4), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(2)O4 trigonal pyramids, and  an edgeedge with one Li(1)O4 trigonal pyramid. In the fourth Li site, Li(4) is bonded to one O(2), one O(5), one O(6), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(2)O4 trigonal pyramids, and  an edgeedge with one Li(1)O4 trigonal pyramid. In the fifth Li site, Li(5) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form LiO4 tetrahedra that share corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and  an edgeedge with one Li(2)O4 trigonal pyramid. Ga(1) is bonded to one O(1), one O(3), one O(4), and one O(7) atom to form GaO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and  an edgeedge with one Li(2)O4 trigonal pyramid. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(1), one O(3), one O(6), and one O(8) atom to form GeO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and corners with two equivalent Li(2)O4 trigonal pyramids. In the second Ge site, Ge(2) is bonded to one O(2), one O(4), one O(5), and one O(7) atom to form GeO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and corners with two equivalent Li(2)O4 trigonal pyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(5), one Ga(1), and one Ge(1) atom to form distorted OLi2GaGe trigonal pyramids that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra,  an edgeedge with one O(4)Li2GaGe tetrahedra, and  an edgeedge with one O(5)Li3Ge tetrahedra. In the second O site, O(2) is bonded to one Li(1), one Li(3), one Li(4), and one Ge(2) atom to form distorted OLi3Ge trigonal pyramids that share corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra,  an edgeedge with one O(3)Li2GaGe tetrahedra, and  an edgeedge with one O(6)Li3Ge tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Ga(1), and one Ge(1) atom to form OLi2GaGe tetrahedra that share corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and  an edgeedge with one O(2)Li3Ge trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Ga(1), and one Ge(2) atom to form OLi2GaGe tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(2)Li3Ge trigonal pyramids, and  an edgeedge with one O(1)Li2GaGe trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Li(5), and one Ge(2) atom to form OLi3Ge tetrahedra that share corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(2)Li3Ge trigonal pyramids, and  an edgeedge with one O(1)Li2GaGe trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(1), one Li(4), one Li(5), and one Ge(1) atom to form OLi3Ge tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and  an edgeedge with one O(2)Li3Ge trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(1), one Li(5), one Ga(1), and one Ge(2) atom to form OLi2GaGe tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and corners with two equivalent O(2)Li3Ge trigonal pyramids. In the eighth O site, O(8) is bonded to one Li(2), one Li(3), one Li(4), and one Ge(1) atom to form OLi3Ge tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and corners with two equivalent O(2)Li3Ge trigonal pyramids. is represented by the CIF file [CIF]
data_Li5Ga(GeO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.872
_cell_length_b   5.126
_cell_length_c   6.466
_cell_angle_alpha   89.808
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   360.339
_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  0.084  0.947  0.005  1.0
  Li  Li1  1  0.584  0.053  0.995  1.0
  Li  Li2  1  0.920  0.533  0.513  1.0
  Li  Li3  1  0.420  0.467  0.487  1.0
  Li  Li4  1  0.660  0.437  0.252  1.0
  Li  Li5  1  0.160  0.563  0.748  1.0
  Li  Li6  1  0.665  0.433  0.746  1.0
  Li  Li7  1  0.165  0.567  0.254  1.0
  Li  Li8  1  0.331  0.072  0.245  1.0
  Li  Li9  1  0.831  0.928  0.755  1.0
  Ga  Ga10  1  0.335  0.072  0.748  1.0
  Ga  Ga11  1  0.835  0.928  0.252  1.0
  Ge  Ge12  1  0.090  0.080  0.486  1.0
  Ge  Ge13  1  0.590  0.920  0.514  1.0
  Ge  Ge14  1  0.916  0.442  0.993  1.0
  Ge  Ge15  1  0.416  0.558  0.007  1.0
  O  O16  1  0.431  0.039  0.506  1.0
  O  O17  1  0.931  0.961  0.494  1.0
  O  O18  1  0.568  0.458  0.000  1.0
  O  O19  1  0.068  0.542  1.000  1.0
  O  O20  1  0.171  0.963  0.720  1.0
  O  O21  1  0.671  0.037  0.280  1.0
  O  O22  1  0.836  0.560  0.224  1.0
  O  O23  1  0.336  0.440  0.776  1.0
  O  O24  1  0.836  0.540  0.773  1.0
  O  O25  1  0.336  0.460  0.227  1.0
  O  O26  1  0.165  0.955  0.271  1.0
  O  O27  1  0.665  0.045  0.729  1.0
  O  O28  1  0.406  0.916  0.981  1.0
  O  O29  1  0.906  0.084  0.019  1.0
  O  O30  1  0.586  0.581  0.497  1.0
  O  O31  1  0.086  0.419  0.503  1.0
[/CIF]
.
The material described by Li5Ga(GeO4)2 is beta beryllia-derived structured and crystallizes in the monoclinic P2_1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(3), one O(6), and one O(7) atom to form LiO4 trigonal pyramids that share corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra,  an edgeedge with one Li(3)O4 tetrahedra, and  an edgeedge with one Li(4)O4 tetrahedra. In the second Li site, Li(2) is bonded to one O(1), one O(4), one O(5), and one O(8) atom to form LiO4 trigonal pyramids that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra,  an edgeedge with one Li(5)O4 tetrahedra, and  an edgeedge with one Ga(1)O4 tetrahedra. In the third Li site, Li(3) is bonded to one O(2), one O(3), one O(4), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(2)O4 trigonal pyramids, and  an edgeedge with one Li(1)O4 trigonal pyramid. In the fourth Li site, Li(4) is bonded to one O(2), one O(5), one O(6), and one O(8) atom to form LiO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(2)O4 trigonal pyramids, and  an edgeedge with one Li(1)O4 trigonal pyramid. In the fifth Li site, Li(5) is bonded to one O(1), one O(5), one O(6), and one O(7) atom to form LiO4 tetrahedra that share corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and  an edgeedge with one Li(2)O4 trigonal pyramid. Ga(1) is bonded to one O(1), one O(3), one O(4), and one O(7) atom to form GaO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, corners with two equivalent Ge(2)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and  an edgeedge with one Li(2)O4 trigonal pyramid. There are two inequivalent Ge sites. In the first Ge site, Ge(1) is bonded to one O(1), one O(3), one O(6), and one O(8) atom to form GeO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and corners with two equivalent Li(2)O4 trigonal pyramids. In the second Ge site, Ge(2) is bonded to one O(2), one O(4), one O(5), and one O(7) atom to form GeO4 tetrahedra that share corners with two equivalent Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra, corners with two equivalent Li(5)O4 tetrahedra, corners with two equivalent Ga(1)O4 tetrahedra, corners with two equivalent Li(1)O4 trigonal pyramids, and corners with two equivalent Li(2)O4 trigonal pyramids. There are eight inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(5), one Ga(1), and one Ge(1) atom to form distorted OLi2GaGe trigonal pyramids that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra,  an edgeedge with one O(4)Li2GaGe tetrahedra, and  an edgeedge with one O(5)Li3Ge tetrahedra. In the second O site, O(2) is bonded to one Li(1), one Li(3), one Li(4), and one Ge(2) atom to form distorted OLi3Ge trigonal pyramids that share corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra,  an edgeedge with one O(3)Li2GaGe tetrahedra, and  an edgeedge with one O(6)Li3Ge tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Ga(1), and one Ge(1) atom to form OLi2GaGe tetrahedra that share corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and  an edgeedge with one O(2)Li3Ge trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(2), one Li(3), one Ga(1), and one Ge(2) atom to form OLi2GaGe tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(2)Li3Ge trigonal pyramids, and  an edgeedge with one O(1)Li2GaGe trigonal pyramid. In the fifth O site, O(5) is bonded to one Li(2), one Li(4), one Li(5), and one Ge(2) atom to form OLi3Ge tetrahedra that share corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(2)Li3Ge trigonal pyramids, and  an edgeedge with one O(1)Li2GaGe trigonal pyramid. In the sixth O site, O(6) is bonded to one Li(1), one Li(4), one Li(5), and one Ge(1) atom to form OLi3Ge tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(7)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(8)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and  an edgeedge with one O(2)Li3Ge trigonal pyramid. In the seventh O site, O(7) is bonded to one Li(1), one Li(5), one Ga(1), and one Ge(2) atom to form OLi2GaGe tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and corners with two equivalent O(2)Li3Ge trigonal pyramids. In the eighth O site, O(8) is bonded to one Li(2), one Li(3), one Li(4), and one Ge(1) atom to form OLi3Ge tetrahedra that share corners with two equivalent O(3)Li2GaGe tetrahedra, corners with two equivalent O(4)Li2GaGe tetrahedra, corners with two equivalent O(5)Li3Ge tetrahedra, corners with two equivalent O(6)Li3Ge tetrahedra, corners with two equivalent O(1)Li2GaGe trigonal pyramids, and corners with two equivalent O(2)Li3Ge trigonal pyramids. is represented by the CIF file [CIF]
data_Li5Ga(GeO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.872
_cell_length_b   5.126
_cell_length_c   6.466
_cell_angle_alpha   89.808
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   360.339
_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  0.084  0.947  0.005  1.0
  Li  Li1  1  0.584  0.053  0.995  1.0
  Li  Li2  1  0.920  0.533  0.513  1.0
  Li  Li3  1  0.420  0.467  0.487  1.0
  Li  Li4  1  0.660  0.437  0.252  1.0
  Li  Li5  1  0.160  0.563  0.748  1.0
  Li  Li6  1  0.665  0.433  0.746  1.0
  Li  Li7  1  0.165  0.567  0.254  1.0
  Li  Li8  1  0.331  0.072  0.245  1.0
  Li  Li9  1  0.831  0.928  0.755  1.0
  Ga  Ga10  1  0.335  0.072  0.748  1.0
  Ga  Ga11  1  0.835  0.928  0.252  1.0
  Ge  Ge12  1  0.090  0.080  0.486  1.0
  Ge  Ge13  1  0.590  0.920  0.514  1.0
  Ge  Ge14  1  0.916  0.442  0.993  1.0
  Ge  Ge15  1  0.416  0.558  0.007  1.0
  O  O16  1  0.431  0.039  0.506  1.0
  O  O17  1  0.931  0.961  0.494  1.0
  O  O18  1  0.568  0.458  0.000  1.0
  O  O19  1  0.068  0.542  1.000  1.0
  O  O20  1  0.171  0.963  0.720  1.0
  O  O21  1  0.671  0.037  0.280  1.0
  O  O22  1  0.836  0.560  0.224  1.0
  O  O23  1  0.336  0.440  0.776  1.0
  O  O24  1  0.836  0.540  0.773  1.0
  O  O25  1  0.336  0.460  0.227  1.0
  O  O26  1  0.165  0.955  0.271  1.0
  O  O27  1  0.665  0.045  0.729  1.0
  O  O28  1  0.406  0.916  0.981  1.0
  O  O29  1  0.906  0.084  0.019  1.0
  O  O30  1  0.586  0.581  0.497  1.0
  O  O31  1  0.086  0.419  0.503  1.0
[/CIF]
.