The structure described by K3Na2SnBi3 crystallizes in the orthorhombic Ibca space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one Sn(1), one Bi(1), and four equivalent Bi(2) atoms. In the second K site, K(2) is bonded in a 7-coordinate geometry to two equivalent Sn(1), two equivalent Bi(2), and three equivalent Bi(1) atoms. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one Sn(1) and four equivalent Bi(2) atoms to form distorted NaSnBi4 tetrahedra that share corners with two equivalent Sn(1)K4Na4Bi4 cuboctahedra,  a cornercorner with one Na(2)Sn3Bi4 tetrahedra,  an edgeedge with one Sn(1)K4Na4Bi4 cuboctahedra, edges with two equivalent Na(1)SnBi4 tetrahedra, and edges with three equivalent Na(2)Sn3Bi4 tetrahedra. In the second Na site, Na(2) is bonded to three equivalent Sn(1), two equivalent Bi(1), and two equivalent Bi(2) atoms to form distorted NaSn3Bi4 tetrahedra that share  a cornercorner with one Na(1)SnBi4 tetrahedra, corners with two equivalent Na(2)Sn3Bi4 tetrahedra, edges with three equivalent Sn(1)K4Na4Bi4 cuboctahedra, edges with three equivalent Na(1)SnBi4 tetrahedra, and faces with two equivalent Na(2)Sn3Bi4 tetrahedra. Sn(1) is bonded to two equivalent K(1), two equivalent K(2), one Na(1), three equivalent Na(2), two equivalent Bi(1), and two equivalent Bi(2) atoms to form distorted SnK4Na4Bi4 cuboctahedra that share corners with two equivalent Sn(1)K4Na4Bi4 cuboctahedra, corners with two equivalent Na(1)SnBi4 tetrahedra,  an edgeedge with one Na(1)SnBi4 tetrahedra, edges with three equivalent Na(2)Sn3Bi4 tetrahedra, and faces with two equivalent Sn(1)K4Na4Bi4 cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 9-coordinate geometry to two equivalent K(1), three equivalent K(2), two equivalent Na(2), and two equivalent Sn(1) atoms. In the second Bi site, Bi(2) is bonded in a 9-coordinate geometry to one K(2), four equivalent K(1), one Na(2), two equivalent Na(1), and one Sn(1) atom. is represented by the CIF card [CIF]
data_K3Na2SnBi3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.381
_cell_length_b   14.381
_cell_length_c   14.381
_cell_angle_alpha   150.726
_cell_angle_beta   106.134
_cell_angle_gamma   81.363
_symmetry_Int_Tables_number   1
_cell_volume   1369.869
_cell_formula_units_Z   4
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  K0  1  0.742  0.887  0.799  1.0
  K  K1  1  0.924  0.750  0.174  1.0
  K  K2  1  0.758  0.057  0.645  1.0
  K  K3  1  0.258  0.113  0.201  1.0
  K  K4  1  0.912  0.557  0.299  1.0
  K  K5  1  0.088  0.443  0.701  1.0
  K  K6  1  0.242  0.943  0.355  1.0
  K  K7  1  0.576  0.250  0.326  1.0
  K  K8  1  0.588  0.387  0.145  1.0
  K  K9  1  0.412  0.613  0.855  1.0
  K  K10  1  0.076  0.250  0.826  1.0
  K  K11  1  0.424  0.750  0.674  1.0
  Na  Na12  1  0.503  0.753  0.250  1.0
  Na  Na13  1  0.162  0.412  0.250  1.0
  Na  Na14  1  0.497  0.247  0.750  1.0
  Na  Na15  1  0.997  0.747  0.750  1.0
  Na  Na16  1  0.003  0.253  0.250  1.0
  Na  Na17  1  0.662  0.912  0.250  1.0
  Na  Na18  1  0.838  0.588  0.750  1.0
  Na  Na19  1  0.338  0.088  0.750  1.0
  Sn  Sn20  1  0.168  0.918  0.750  1.0
  Sn  Sn21  1  0.668  0.418  0.750  1.0
  Sn  Sn22  1  0.332  0.582  0.250  1.0
  Sn  Sn23  1  0.832  0.082  0.250  1.0
  Bi  Bi24  1  0.648  0.750  0.898  1.0
  Bi  Bi25  1  0.202  0.628  0.649  1.0
  Bi  Bi26  1  0.702  0.553  0.074  1.0
  Bi  Bi27  1  0.798  0.372  0.351  1.0
  Bi  Bi28  1  0.022  0.947  0.149  1.0
  Bi  Bi29  1  0.978  0.053  0.851  1.0
  Bi  Bi30  1  0.298  0.447  0.925  1.0
  Bi  Bi31  1  0.352  0.250  0.102  1.0
  Bi  Bi32  1  0.522  0.872  0.575  1.0
  Bi  Bi33  1  0.852  0.250  0.602  1.0
  Bi  Bi34  1  0.478  0.128  0.425  1.0
  Bi  Bi35  1  0.148  0.750  0.398  1.0
[/CIF]
.
The structure described by K3Na2SnBi3 crystallizes in the orthorhombic Ibca space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 5-coordinate geometry to one Sn(1), one Bi(1), and four equivalent Bi(2) atoms. In the second K site, K(2) is bonded in a 7-coordinate geometry to two equivalent Sn(1), two equivalent Bi(2), and three equivalent Bi(1) atoms. There are two inequivalent Na sites. In the first Na site, Na(1) is bonded to one Sn(1) and four equivalent Bi(2) atoms to form distorted NaSnBi4 tetrahedra that share corners with two equivalent Sn(1)K4Na4Bi4 cuboctahedra,  a cornercorner with one Na(2)Sn3Bi4 tetrahedra,  an edgeedge with one Sn(1)K4Na4Bi4 cuboctahedra, edges with two equivalent Na(1)SnBi4 tetrahedra, and edges with three equivalent Na(2)Sn3Bi4 tetrahedra. In the second Na site, Na(2) is bonded to three equivalent Sn(1), two equivalent Bi(1), and two equivalent Bi(2) atoms to form distorted NaSn3Bi4 tetrahedra that share  a cornercorner with one Na(1)SnBi4 tetrahedra, corners with two equivalent Na(2)Sn3Bi4 tetrahedra, edges with three equivalent Sn(1)K4Na4Bi4 cuboctahedra, edges with three equivalent Na(1)SnBi4 tetrahedra, and faces with two equivalent Na(2)Sn3Bi4 tetrahedra. Sn(1) is bonded to two equivalent K(1), two equivalent K(2), one Na(1), three equivalent Na(2), two equivalent Bi(1), and two equivalent Bi(2) atoms to form distorted SnK4Na4Bi4 cuboctahedra that share corners with two equivalent Sn(1)K4Na4Bi4 cuboctahedra, corners with two equivalent Na(1)SnBi4 tetrahedra,  an edgeedge with one Na(1)SnBi4 tetrahedra, edges with three equivalent Na(2)Sn3Bi4 tetrahedra, and faces with two equivalent Sn(1)K4Na4Bi4 cuboctahedra. There are two inequivalent Bi sites. In the first Bi site, Bi(1) is bonded in a 9-coordinate geometry to two equivalent K(1), three equivalent K(2), two equivalent Na(2), and two equivalent Sn(1) atoms. In the second Bi site, Bi(2) is bonded in a 9-coordinate geometry to one K(2), four equivalent K(1), one Na(2), two equivalent Na(1), and one Sn(1) atom. is represented by the CIF card [CIF]
data_K3Na2SnBi3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.381
_cell_length_b   14.381
_cell_length_c   14.381
_cell_angle_alpha   150.726
_cell_angle_beta   106.134
_cell_angle_gamma   81.363
_symmetry_Int_Tables_number   1
_cell_volume   1369.869
_cell_formula_units_Z   4
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  K0  1  0.742  0.887  0.799  1.0
  K  K1  1  0.924  0.750  0.174  1.0
  K  K2  1  0.758  0.057  0.645  1.0
  K  K3  1  0.258  0.113  0.201  1.0
  K  K4  1  0.912  0.557  0.299  1.0
  K  K5  1  0.088  0.443  0.701  1.0
  K  K6  1  0.242  0.943  0.355  1.0
  K  K7  1  0.576  0.250  0.326  1.0
  K  K8  1  0.588  0.387  0.145  1.0
  K  K9  1  0.412  0.613  0.855  1.0
  K  K10  1  0.076  0.250  0.826  1.0
  K  K11  1  0.424  0.750  0.674  1.0
  Na  Na12  1  0.503  0.753  0.250  1.0
  Na  Na13  1  0.162  0.412  0.250  1.0
  Na  Na14  1  0.497  0.247  0.750  1.0
  Na  Na15  1  0.997  0.747  0.750  1.0
  Na  Na16  1  0.003  0.253  0.250  1.0
  Na  Na17  1  0.662  0.912  0.250  1.0
  Na  Na18  1  0.838  0.588  0.750  1.0
  Na  Na19  1  0.338  0.088  0.750  1.0
  Sn  Sn20  1  0.168  0.918  0.750  1.0
  Sn  Sn21  1  0.668  0.418  0.750  1.0
  Sn  Sn22  1  0.332  0.582  0.250  1.0
  Sn  Sn23  1  0.832  0.082  0.250  1.0
  Bi  Bi24  1  0.648  0.750  0.898  1.0
  Bi  Bi25  1  0.202  0.628  0.649  1.0
  Bi  Bi26  1  0.702  0.553  0.074  1.0
  Bi  Bi27  1  0.798  0.372  0.351  1.0
  Bi  Bi28  1  0.022  0.947  0.149  1.0
  Bi  Bi29  1  0.978  0.053  0.851  1.0
  Bi  Bi30  1  0.298  0.447  0.925  1.0
  Bi  Bi31  1  0.352  0.250  0.102  1.0
  Bi  Bi32  1  0.522  0.872  0.575  1.0
  Bi  Bi33  1  0.852  0.250  0.602  1.0
  Bi  Bi34  1  0.478  0.128  0.425  1.0
  Bi  Bi35  1  0.148  0.750  0.398  1.0
[/CIF]
.