The crystal structure described by KSn2(PO4)3 crystallizes in the trigonal R-3 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to six equivalent O(4) atoms to form distorted KO6 cuboctahedra that share corners with six equivalent P(1)O4 tetrahedra and faces with two equivalent Sn(2)O6 octahedra. In the second K site, K(2) is bonded in a distorted hexagonal planar geometry to six equivalent O(1) atoms. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form SnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra. In the second Sn site, Sn(2) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form SnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one K(1)O6 cuboctahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one K(1)O6 cuboctahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-44°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(2), one Sn(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Sn(1) and one P(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Sn(2) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one Sn(2), and one P(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KSn2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.364
_cell_length_b   9.364
_cell_length_c   9.364
_cell_angle_alpha   53.864
_cell_angle_beta   53.864
_cell_angle_gamma   53.864
_symmetry_Int_Tables_number   1
_cell_volume   497.410
_cell_formula_units_Z   2
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  0.500  0.500  0.500  1.0
  K  K1  1  0.000  0.000  0.000  1.0
  Sn  Sn2  1  0.154  0.154  0.154  1.0
  Sn  Sn3  1  0.846  0.846  0.846  1.0
  Sn  Sn4  1  0.352  0.352  0.352  1.0
  Sn  Sn5  1  0.648  0.648  0.648  1.0
  P  P6  1  0.040  0.461  0.751  1.0
  P  P7  1  0.461  0.751  0.040  1.0
  P  P8  1  0.751  0.040  0.461  1.0
  P  P9  1  0.960  0.539  0.249  1.0
  P  P10  1  0.539  0.249  0.960  1.0
  P  P11  1  0.249  0.960  0.539  1.0
  O  O12  1  0.026  0.317  0.957  1.0
  O  O13  1  0.317  0.957  0.026  1.0
  O  O14  1  0.957  0.026  0.317  1.0
  O  O15  1  0.974  0.683  0.043  1.0
  O  O16  1  0.683  0.043  0.974  1.0
  O  O17  1  0.043  0.974  0.683  1.0
  O  O18  1  0.027  0.651  0.715  1.0
  O  O19  1  0.651  0.715  0.027  1.0
  O  O20  1  0.715  0.027  0.651  1.0
  O  O21  1  0.973  0.349  0.285  1.0
  O  O22  1  0.349  0.285  0.973  1.0
  O  O23  1  0.285  0.973  0.349  1.0
  O  O24  1  0.881  0.481  0.722  1.0
  O  O25  1  0.481  0.722  0.881  1.0
  O  O26  1  0.722  0.881  0.481  1.0
  O  O27  1  0.119  0.519  0.278  1.0
  O  O28  1  0.519  0.278  0.119  1.0
  O  O29  1  0.278  0.119  0.519  1.0
  O  O30  1  0.235  0.378  0.608  1.0
  O  O31  1  0.378  0.608  0.235  1.0
  O  O32  1  0.608  0.235  0.378  1.0
  O  O33  1  0.765  0.622  0.392  1.0
  O  O34  1  0.622  0.392  0.765  1.0
  O  O35  1  0.392  0.765  0.622  1.0
[/CIF]
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The crystal structure described by KSn2(PO4)3 crystallizes in the trigonal R-3 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded to six equivalent O(4) atoms to form distorted KO6 cuboctahedra that share corners with six equivalent P(1)O4 tetrahedra and faces with two equivalent Sn(2)O6 octahedra. In the second K site, K(2) is bonded in a distorted hexagonal planar geometry to six equivalent O(1) atoms. There are two inequivalent Sn sites. In the first Sn site, Sn(1) is bonded to three equivalent O(1) and three equivalent O(2) atoms to form SnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra. In the second Sn site, Sn(2) is bonded to three equivalent O(3) and three equivalent O(4) atoms to form SnO6 octahedra that share corners with six equivalent P(1)O4 tetrahedra and  a faceface with one K(1)O6 cuboctahedra. P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one K(1)O6 cuboctahedra, corners with two equivalent Sn(1)O6 octahedra, and corners with two equivalent Sn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 29-44°. There are four inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(2), one Sn(1), and one P(1) atom. In the second O site, O(2) is bonded in a distorted bent 150 degrees geometry to one Sn(1) and one P(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Sn(2) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one Sn(2), and one P(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_KSn2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.364
_cell_length_b   9.364
_cell_length_c   9.364
_cell_angle_alpha   53.864
_cell_angle_beta   53.864
_cell_angle_gamma   53.864
_symmetry_Int_Tables_number   1
_cell_volume   497.410
_cell_formula_units_Z   2
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  0.500  0.500  0.500  1.0
  K  K1  1  0.000  0.000  0.000  1.0
  Sn  Sn2  1  0.154  0.154  0.154  1.0
  Sn  Sn3  1  0.846  0.846  0.846  1.0
  Sn  Sn4  1  0.352  0.352  0.352  1.0
  Sn  Sn5  1  0.648  0.648  0.648  1.0
  P  P6  1  0.040  0.461  0.751  1.0
  P  P7  1  0.461  0.751  0.040  1.0
  P  P8  1  0.751  0.040  0.461  1.0
  P  P9  1  0.960  0.539  0.249  1.0
  P  P10  1  0.539  0.249  0.960  1.0
  P  P11  1  0.249  0.960  0.539  1.0
  O  O12  1  0.026  0.317  0.957  1.0
  O  O13  1  0.317  0.957  0.026  1.0
  O  O14  1  0.957  0.026  0.317  1.0
  O  O15  1  0.974  0.683  0.043  1.0
  O  O16  1  0.683  0.043  0.974  1.0
  O  O17  1  0.043  0.974  0.683  1.0
  O  O18  1  0.027  0.651  0.715  1.0
  O  O19  1  0.651  0.715  0.027  1.0
  O  O20  1  0.715  0.027  0.651  1.0
  O  O21  1  0.973  0.349  0.285  1.0
  O  O22  1  0.349  0.285  0.973  1.0
  O  O23  1  0.285  0.973  0.349  1.0
  O  O24  1  0.881  0.481  0.722  1.0
  O  O25  1  0.481  0.722  0.881  1.0
  O  O26  1  0.722  0.881  0.481  1.0
  O  O27  1  0.119  0.519  0.278  1.0
  O  O28  1  0.519  0.278  0.119  1.0
  O  O29  1  0.278  0.119  0.519  1.0
  O  O30  1  0.235  0.378  0.608  1.0
  O  O31  1  0.378  0.608  0.235  1.0
  O  O32  1  0.608  0.235  0.378  1.0
  O  O33  1  0.765  0.622  0.392  1.0
  O  O34  1  0.622  0.392  0.765  1.0
  O  O35  1  0.392  0.765  0.622  1.0
[/CIF]
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