The material structure described by LiAlGeO4 crystallizes in the trigonal R-3 space group. 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 four equivalent Al(1)O4 tetrahedra and corners with four equivalent Ge(1)O4 tetrahedra. Al(1) is bonded to one O(2), one O(3), and two equivalent O(1) atoms to form AlO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. Ge(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form GeO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(4) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Ge(1) atoms. In the second O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Al(1) atoms. In the third O site, O(2) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. In the fourth O site, O(3) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. is represented by the CIF file [CIF]
data_LiAlGeO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.635
_cell_length_b   8.635
_cell_length_c   8.635
_cell_angle_alpha   107.829
_cell_angle_beta   107.829
_cell_angle_gamma   107.829
_symmetry_Int_Tables_number   1
_cell_volume   523.584
_cell_formula_units_Z   6
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  0.240  0.468  0.071  1.0
  Li  Li1  1  0.468  0.071  0.240  1.0
  Li  Li2  1  0.071  0.240  0.468  1.0
  Li  Li3  1  0.760  0.532  0.929  1.0
  Li  Li4  1  0.532  0.929  0.760  1.0
  Li  Li5  1  0.929  0.760  0.532  1.0
  Al  Al6  1  0.568  0.789  0.384  1.0
  Al  Al7  1  0.384  0.568  0.789  1.0
  Al  Al8  1  0.432  0.211  0.616  1.0
  Al  Al9  1  0.211  0.616  0.432  1.0
  Al  Al10  1  0.616  0.432  0.211  1.0
  Al  Al11  1  0.789  0.384  0.568  1.0
  Ge  Ge12  1  0.133  0.720  0.894  1.0
  Ge  Ge13  1  0.720  0.894  0.133  1.0
  Ge  Ge14  1  0.106  0.867  0.280  1.0
  Ge  Ge15  1  0.867  0.280  0.106  1.0
  Ge  Ge16  1  0.280  0.106  0.867  1.0
  Ge  Ge17  1  0.894  0.133  0.720  1.0
  O  O18  1  0.345  0.685  0.660  1.0
  O  O19  1  0.379  0.323  0.048  1.0
  O  O20  1  0.048  0.379  0.323  1.0
  O  O21  1  0.323  0.048  0.379  1.0
  O  O22  1  0.621  0.677  0.952  1.0
  O  O23  1  0.952  0.621  0.677  1.0
  O  O24  1  0.677  0.952  0.621  1.0
  O  O25  1  0.685  0.660  0.345  1.0
  O  O26  1  0.740  0.401  0.079  1.0
  O  O27  1  0.660  0.345  0.685  1.0
  O  O28  1  0.315  0.340  0.655  1.0
  O  O29  1  0.655  0.315  0.340  1.0
  O  O30  1  0.260  0.599  0.921  1.0
  O  O31  1  0.599  0.921  0.260  1.0
  O  O32  1  0.921  0.260  0.599  1.0
  O  O33  1  0.973  0.280  0.955  1.0
  O  O34  1  0.401  0.079  0.740  1.0
  O  O35  1  0.079  0.740  0.401  1.0
  O  O36  1  0.045  0.027  0.720  1.0
  O  O37  1  0.280  0.955  0.973  1.0
  O  O38  1  0.955  0.973  0.280  1.0
  O  O39  1  0.027  0.720  0.045  1.0
  O  O40  1  0.720  0.045  0.027  1.0
  O  O41  1  0.340  0.655  0.315  1.0
[/CIF]
.
The material structure described by LiAlGeO4 crystallizes in the trigonal R-3 space group. 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 four equivalent Al(1)O4 tetrahedra and corners with four equivalent Ge(1)O4 tetrahedra. Al(1) is bonded to one O(2), one O(3), and two equivalent O(1) atoms to form AlO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. Ge(1) is bonded to one O(2), one O(3), and two equivalent O(4) atoms to form GeO4 tetrahedra that share corners with two equivalent Al(1)O4 tetrahedra, corners with two equivalent Ge(1)O4 tetrahedra, and corners with four equivalent Li(1)O4 tetrahedra. There are four inequivalent O sites. In the first O site, O(4) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Ge(1) atoms. In the second O site, O(1) is bonded in a trigonal planar geometry to one Li(1) and two equivalent Al(1) atoms. In the third O site, O(2) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. In the fourth O site, O(3) is bonded in a trigonal planar geometry to one Li(1), one Al(1), and one Ge(1) atom. is represented by the CIF file [CIF]
data_LiAlGeO4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.635
_cell_length_b   8.635
_cell_length_c   8.635
_cell_angle_alpha   107.829
_cell_angle_beta   107.829
_cell_angle_gamma   107.829
_symmetry_Int_Tables_number   1
_cell_volume   523.584
_cell_formula_units_Z   6
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  0.240  0.468  0.071  1.0
  Li  Li1  1  0.468  0.071  0.240  1.0
  Li  Li2  1  0.071  0.240  0.468  1.0
  Li  Li3  1  0.760  0.532  0.929  1.0
  Li  Li4  1  0.532  0.929  0.760  1.0
  Li  Li5  1  0.929  0.760  0.532  1.0
  Al  Al6  1  0.568  0.789  0.384  1.0
  Al  Al7  1  0.384  0.568  0.789  1.0
  Al  Al8  1  0.432  0.211  0.616  1.0
  Al  Al9  1  0.211  0.616  0.432  1.0
  Al  Al10  1  0.616  0.432  0.211  1.0
  Al  Al11  1  0.789  0.384  0.568  1.0
  Ge  Ge12  1  0.133  0.720  0.894  1.0
  Ge  Ge13  1  0.720  0.894  0.133  1.0
  Ge  Ge14  1  0.106  0.867  0.280  1.0
  Ge  Ge15  1  0.867  0.280  0.106  1.0
  Ge  Ge16  1  0.280  0.106  0.867  1.0
  Ge  Ge17  1  0.894  0.133  0.720  1.0
  O  O18  1  0.345  0.685  0.660  1.0
  O  O19  1  0.379  0.323  0.048  1.0
  O  O20  1  0.048  0.379  0.323  1.0
  O  O21  1  0.323  0.048  0.379  1.0
  O  O22  1  0.621  0.677  0.952  1.0
  O  O23  1  0.952  0.621  0.677  1.0
  O  O24  1  0.677  0.952  0.621  1.0
  O  O25  1  0.685  0.660  0.345  1.0
  O  O26  1  0.740  0.401  0.079  1.0
  O  O27  1  0.660  0.345  0.685  1.0
  O  O28  1  0.315  0.340  0.655  1.0
  O  O29  1  0.655  0.315  0.340  1.0
  O  O30  1  0.260  0.599  0.921  1.0
  O  O31  1  0.599  0.921  0.260  1.0
  O  O32  1  0.921  0.260  0.599  1.0
  O  O33  1  0.973  0.280  0.955  1.0
  O  O34  1  0.401  0.079  0.740  1.0
  O  O35  1  0.079  0.740  0.401  1.0
  O  O36  1  0.045  0.027  0.720  1.0
  O  O37  1  0.280  0.955  0.973  1.0
  O  O38  1  0.955  0.973  0.280  1.0
  O  O39  1  0.027  0.720  0.045  1.0
  O  O40  1  0.720  0.045  0.027  1.0
  O  O41  1  0.340  0.655  0.315  1.0
[/CIF]
.