data_AlCdSn2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   5.19
_cell_angle_alpha   60.0
_cell_angle_beta   60.0
_cell_angle_gamma   60.0
_symmetry_Int_Tables_number   1
_chemical_formula_structural   AlCdSn2
_chemical_formula_sum   'Al1 Cd1 Sn2'
_cell_volume   99.02
_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
  Al  Al0  1  0.0  0.0  0.0  1.0
  Cd  Cd1  1  0.84  0.84  0.84  1.0
  Sn  Sn2  1  0.67  0.67  0.67  1.0
  Sn  Sn3  1  0.51  0.51  0.51  1.0

data_AlCdSn2
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   12.72
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   AlCdSn2
_chemical_formula_sum   'Al3 Cd3 Sn6'
_cell_volume   297.07
_cell_formula_units_Z   3
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
  2  '-y, x-y, z'
  3  '-x+y, -x, z'
  4  '-y, -x, z'
  5  '-x+y, y, z'
  6  'x, x-y, z'
  7  'x+1/3, y+2/3, z+2/3'
  8  '-y+1/3, x-y+2/3, z+2/3'
  9  '-x+y+1/3, -x+2/3, z+2/3'
  10  '-y+1/3, -x+2/3, z+2/3'
  11  '-x+y+1/3, y+2/3, z+2/3'
  12  'x+1/3, x-y+2/3, z+2/3'
  13  'x+2/3, y+1/3, z+1/3'
  14  '-y+2/3, x-y+1/3, z+1/3'
  15  '-x+y+2/3, -x+1/3, z+1/3'
  16  '-y+2/3, -x+1/3, z+1/3'
  17  '-x+y+2/3, y+1/3, z+1/3'
  18  'x+2/3, x-y+1/3, z+1/3'
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
  Al  Al0  3  0.0  0.0  0.0  1.0
  Cd  Cd1  3  0.0  0.0  0.16  1.0
  Sn  Sn2  3  0.0  0.0  0.33  1.0
  Sn  Sn3  3  0.0  0.0  0.49  1.0

Al Cd Sn Sn
CdAlSn2 crystallizes in the trigonal R3m space group. Cd(1) is bonded to one Al(1), one Sn(1), and three equivalent Sn(2) atoms to form distorted CdAlSn4 trigonal bipyramids that share corners with six equivalent Cd(1)AlSn4 trigonal bipyramids,  a cornercorner with one Sn(2)Cd3Sn trigonal pyramid, corners with three equivalent Al(1)CdSn3 trigonal pyramids, and edges with three equivalent Sn(1)Al3CdSn trigonal bipyramids. The Cd(1)-Al(1) bond length is 2.09 Å. The Cd(1)-Sn(1) bond length is 2.09 Å. All Cd(1)-Sn(2) bond lengths are 3.00 Å. Al(1) is bonded to one Cd(1) and three equivalent Sn(1) atoms to form AlCdSn3 trigonal pyramids that share  a cornercorner with one Sn(1)Al3CdSn trigonal bipyramid, corners with three equivalent Cd(1)AlSn4 trigonal bipyramids, corners with six equivalent Al(1)CdSn3 trigonal pyramids, and edges with three equivalent Sn(2)Cd3Sn trigonal pyramids. All Al(1)-Sn(1) bond lengths are 3.00 Å. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to one Cd(1), three equivalent Al(1), and one Sn(2) atom to form distorted SnAl3CdSn trigonal bipyramids that share corners with six equivalent Sn(1)Al3CdSn trigonal bipyramids,  a cornercorner with one Al(1)CdSn3 trigonal pyramid, corners with three equivalent Sn(2)Cd3Sn trigonal pyramids, and edges with three equivalent Cd(1)AlSn4 trigonal bipyramids. The Sn(1)-Sn(2) bond length is 2.09 Å. In the second Sn site, Sn(2) is bonded to three equivalent Cd(1) and one Sn(1) atom to form SnCd3Sn trigonal pyramids that share  a cornercorner with one Cd(1)AlSn4 trigonal bipyramid, corners with three equivalent Sn(1)Al3CdSn trigonal bipyramids, corners with six equivalent Sn(2)Cd3Sn trigonal pyramids, and edges with three equivalent Al(1)CdSn3 trigonal pyramids.