The crystal structure described by LiCd2Al4O8 crystallizes in the trigonal R-3m space group. Li(1) is bonded to six equivalent O(2) atoms to form distorted LiO6 octahedra that share corners with six equivalent Al(1)O6 octahedra and edges with six equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. Cd(1) is bonded in a 4-coordinate geometry to one O(1) and three equivalent O(2) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to six equivalent O(2) atoms to form distorted AlO6 octahedra that share corners with six equivalent Li(1)O6 octahedra and edges with six equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the second Al site, Al(2) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form AlO6 octahedra that share edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Al(1)O6 octahedra, and edges with four equivalent Al(2)O6 octahedra. There are two inequivalent O sites. In the first O site, O(1) is bonded to one Cd(1) and three equivalent Al(2) atoms to form OAl3Cd tetrahedra that share corners with three equivalent O(1)Al3Cd tetrahedra, corners with nine equivalent O(2)LiAl3Cd trigonal bipyramids, and edges with three equivalent O(2)LiAl3Cd trigonal bipyramids. In the second O site, O(2) is bonded to one Li(1), one Cd(1), one Al(1), and two equivalent Al(2) atoms to form distorted OLiAl3Cd trigonal bipyramids that share corners with three equivalent O(1)Al3Cd tetrahedra, corners with six equivalent O(2)LiAl3Cd trigonal bipyramids,  an edgeedge with one O(1)Al3Cd tetrahedra, and edges with six equivalent O(2)LiAl3Cd trigonal bipyramids. is represented by the CIF card [CIF]
data_LiAl4Cd2O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.890
_cell_length_b   5.890
_cell_length_c   6.302
_cell_angle_alpha   62.140
_cell_angle_beta   62.140
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   159.431
_cell_formula_units_Z   1
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  0.000  0.500  1.0
  Al  Al1  1  0.500  0.500  0.000  1.0
  Al  Al2  1  0.500  0.000  0.500  1.0
  Al  Al3  1  0.000  0.500  0.500  1.0
  Al  Al4  1  0.500  0.500  0.500  1.0
  Cd  Cd5  1  0.150  0.150  0.051  1.0
  Cd  Cd6  1  0.850  0.850  0.949  1.0
  O  O7  1  0.281  0.281  0.656  1.0
  O  O8  1  0.261  0.701  0.277  1.0
  O  O9  1  0.701  0.261  0.277  1.0
  O  O10  1  0.261  0.261  0.277  1.0
  O  O11  1  0.719  0.719  0.344  1.0
  O  O12  1  0.739  0.299  0.723  1.0
  O  O13  1  0.299  0.739  0.723  1.0
  O  O14  1  0.739  0.739  0.723  1.0
[/CIF]
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The crystal structure described by LiCd2Al4O8 crystallizes in the trigonal R-3m space group. Li(1) is bonded to six equivalent O(2) atoms to form distorted LiO6 octahedra that share corners with six equivalent Al(1)O6 octahedra and edges with six equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. Cd(1) is bonded in a 4-coordinate geometry to one O(1) and three equivalent O(2) atoms. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded to six equivalent O(2) atoms to form distorted AlO6 octahedra that share corners with six equivalent Li(1)O6 octahedra and edges with six equivalent Al(2)O6 octahedra. The corner-sharing octahedral tilt angles are 13°. In the second Al site, Al(2) is bonded to two equivalent O(1) and four equivalent O(2) atoms to form AlO6 octahedra that share edges with two equivalent Li(1)O6 octahedra, edges with two equivalent Al(1)O6 octahedra, and edges with four equivalent Al(2)O6 octahedra. There are two inequivalent O sites. In the first O site, O(1) is bonded to one Cd(1) and three equivalent Al(2) atoms to form OAl3Cd tetrahedra that share corners with three equivalent O(1)Al3Cd tetrahedra, corners with nine equivalent O(2)LiAl3Cd trigonal bipyramids, and edges with three equivalent O(2)LiAl3Cd trigonal bipyramids. In the second O site, O(2) is bonded to one Li(1), one Cd(1), one Al(1), and two equivalent Al(2) atoms to form distorted OLiAl3Cd trigonal bipyramids that share corners with three equivalent O(1)Al3Cd tetrahedra, corners with six equivalent O(2)LiAl3Cd trigonal bipyramids,  an edgeedge with one O(1)Al3Cd tetrahedra, and edges with six equivalent O(2)LiAl3Cd trigonal bipyramids. is represented by the CIF card [CIF]
data_LiAl4Cd2O8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.890
_cell_length_b   5.890
_cell_length_c   6.302
_cell_angle_alpha   62.140
_cell_angle_beta   62.140
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   159.431
_cell_formula_units_Z   1
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  0.000  0.500  1.0
  Al  Al1  1  0.500  0.500  0.000  1.0
  Al  Al2  1  0.500  0.000  0.500  1.0
  Al  Al3  1  0.000  0.500  0.500  1.0
  Al  Al4  1  0.500  0.500  0.500  1.0
  Cd  Cd5  1  0.150  0.150  0.051  1.0
  Cd  Cd6  1  0.850  0.850  0.949  1.0
  O  O7  1  0.281  0.281  0.656  1.0
  O  O8  1  0.261  0.701  0.277  1.0
  O  O9  1  0.701  0.261  0.277  1.0
  O  O10  1  0.261  0.261  0.277  1.0
  O  O11  1  0.719  0.719  0.344  1.0
  O  O12  1  0.739  0.299  0.723  1.0
  O  O13  1  0.299  0.739  0.723  1.0
  O  O14  1  0.739  0.739  0.723  1.0
[/CIF]
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