data_KNaAlGa
_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   KNaAlGa
_chemical_formula_sum   'K1 Na1 Al1 Ga1'
_cell_volume   98.68
_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
  K  K2  1  0.5  0.5  0.5  1.0
  Na  Na3  1  0.0  0.0  0.0  1.0
  Al  Al0  1  0.67  0.67  0.67  1.0
  Ga  Ga1  1  0.83  0.83  0.83  1.0

data_KNaAlGa
_symmetry_space_group_name_H-M   R3m
_cell_length_a   5.19
_cell_length_b   5.19
_cell_length_c   12.71
_cell_angle_alpha   90.0
_cell_angle_beta   90.0
_cell_angle_gamma   120.0
_symmetry_Int_Tables_number   160
_chemical_formula_structural   KNaAlGa
_chemical_formula_sum   'K3 Na3 Al3 Ga3'
_cell_volume   296.03
_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
  K  K0  3  0.0  0.0  0.5  1.0
  Na  Na1  3  0.0  0.0  0.0  1.0
  Al  Al2  3  0.0  0.0  0.33  1.0
  Ga  Ga3  3  0.0  0.0  0.17  1.0

K Na Al Ga
KNaGaAl crystallizes in the trigonal R3m space group. K(1) is bonded to three equivalent Ga(1) and one Al(1) atom to form distorted KAlGa3 trigonal pyramids that share  a cornercorner with one Ga(1)K3NaAl trigonal bipyramid, corners with three equivalent Al(1)KNa3Ga trigonal bipyramids, and corners with six equivalent K(1)AlGa3 trigonal pyramids. All K(1)-Ga(1) bond lengths are 2.99 Å. The K(1)-Al(1) bond length is 2.11 Å. Na(1) is bonded in a distorted single-bond geometry to one Ga(1) and three equivalent Al(1) atoms. The Na(1)-Ga(1) bond length is 2.11 Å. All Na(1)-Al(1) bond lengths are 2.99 Å. Ga(1) is bonded to three equivalent K(1), one Na(1), and one Al(1) atom to form distorted GaK3NaAl trigonal bipyramids that share corners with six equivalent Ga(1)K3NaAl trigonal bipyramids,  a cornercorner with one K(1)AlGa3 trigonal pyramid, and edges with three equivalent Al(1)KNa3Ga trigonal bipyramids. The Ga(1)-Al(1) bond length is 2.11 Å. Al(1) is bonded to one K(1), three equivalent Na(1), and one Ga(1) atom to form distorted AlKNa3Ga trigonal bipyramids that share corners with six equivalent Al(1)KNa3Ga trigonal bipyramids, corners with three equivalent K(1)AlGa3 trigonal pyramids, and edges with three equivalent Ga(1)K3NaAl trigonal bipyramids.