The structure described by K4Eu(PS4)2 crystallizes in the triclinic P1 space group. There are eight inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one S(11), one S(13), one S(14), one S(15), one S(3), one S(5), one S(8), and one S(9) atom. In the second K site, K(2) is bonded in a 6-coordinate geometry to one S(10), one S(12), one S(15), one S(16), one S(6), and one S(7) atom. In the third K site, K(3) is bonded in a 8-coordinate geometry to one S(11), one S(12), one S(13), one S(2), one S(3), one S(4), one S(5), and one S(7) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one S(1), one S(10), one S(15), one S(16), one S(7), and one S(8) atom. In the fifth K site, K(5) is bonded in a 8-coordinate geometry to one S(10), one S(11), one S(14), one S(2), one S(3), one S(4), one S(6), and one S(9) atom. In the sixth K site, K(6) is bonded in a 6-coordinate geometry to one S(1), one S(10), one S(15), one S(16), one S(7), and one S(8) atom. In the seventh K site, K(7) is bonded in a 6-coordinate geometry to one S(10), one S(12), one S(15), one S(16), one S(6), and one S(7) atom. In the eighth K site, K(8) is bonded in a 8-coordinate geometry to one S(1), one S(13), one S(14), one S(16), one S(2), one S(4), one S(5), and one S(9) atom. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to one S(1), one S(11), one S(12), one S(14), one S(4), one S(5), one S(6), and one S(8) atom to form distorted EuS8 hexagonal bipyramids that share edges with two equivalent Eu(2)S8 hexagonal bipyramids,  an edgeedge with one P(1)S4 tetrahedra,  an edgeedge with one P(2)S4 tetrahedra,  an edgeedge with one P(3)S4 tetrahedra, and  an edgeedge with one P(4)S4 tetrahedra. In the second Eu site, Eu(2) is bonded to one S(1), one S(12), one S(13), one S(2), one S(3), one S(6), one S(8), and one S(9) atom to form distorted EuS8 hexagonal bipyramids that share edges with two equivalent Eu(1)S8 hexagonal bipyramids,  an edgeedge with one P(1)S4 tetrahedra,  an edgeedge with one P(2)S4 tetrahedra,  an edgeedge with one P(3)S4 tetrahedra, and  an edgeedge with one P(4)S4 tetrahedra. There are four inequivalent P sites. In the first P site, P(1) is bonded to one S(11), one S(12), one S(16), and one S(3) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. In the second P site, P(2) is bonded to one S(10), one S(13), one S(5), and one S(8) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. In the third P site, P(3) is bonded to one S(15), one S(2), one S(4), and one S(6) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. In the fourth P site, P(4) is bonded to one S(1), one S(14), one S(7), and one S(9) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded in a 6-coordinate geometry to one K(4), one K(6), one K(8), one Eu(1), one Eu(2), and one P(4) atom. In the second S site, S(2) is bonded in a 1-coordinate geometry to one K(3), one K(5), one K(8), one Eu(2), and one P(3) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to one K(1), one K(3), one K(5), one Eu(2), and one P(1) atom. In the fourth S site, S(4) is bonded in a 5-coordinate geometry to one K(3), one K(5), one K(8), one Eu(1), and one P(3) atom. In the fifth S site, S(5) is bonded in a 1-coordinate geometry to one K(1), one K(3), one K(8), one Eu(1), and one P(2) atom. In the sixth S site, S(6) is bonded in a 6-coordinate geometry to one K(2), one K(5), one K(7), one Eu(1), one Eu(2), and one P(3) atom. In the seventh S site, S(7) is bonded to one K(2), one K(3), one K(4), one K(6), one K(7), and one P(4) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the eighth S site, S(8) is bonded in a 6-coordinate geometry to one K(1), one K(4), one K(6), one Eu(1), one Eu(2), and one P(2) atom. In the ninth S site, S(9) is bonded in a 5-coordinate geometry to one K(1), one K(5), one K(8), one Eu(2), and one P(4) atom. In the tenth S site, S(10) is bonded to one K(2), one K(4), one K(5), one K(6), one K(7), and one P(2) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the eleventh S site, S(11) is bonded in a 5-coordinate geometry to one K(1), one K(3), one K(5), one Eu(1), and one P(1) atom. In the twelfth S site, S(12) is bonded in a 6-coordinate geometry to one K(2), one K(3), one K(7), one Eu(1), one Eu(2), and one P(1) atom. In the thirteenth S site, S(13) is bonded in a 1-coordinate geometry to one K(1), one K(3), one K(8), one Eu(2), and one P(2) atom. In the fourteenth S site, S(14) is bonded in a 1-coordinate geometry to one K(1), one K(5), one K(8), one Eu(1), and one P(4) atom. In the fifteenth S site, S(15) is bonded to one K(1), one K(2), one K(4), one K(6), one K(7), and one P(3) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the sixteenth S site, S(16) is bonded to one K(2), one K(4), one K(6), one K(7), one K(8), and one P(1) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 3-14°. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4Eu(PS4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.909
_cell_length_b   9.839
_cell_length_c   11.361
_cell_angle_alpha   115.605
_cell_angle_beta   113.145
_cell_angle_gamma   90.129
_symmetry_Int_Tables_number   1
_cell_volume   807.730
_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  0.797  0.916  0.834  1.0
  K  K1  1  0.742  0.992  0.487  1.0
  K  K2  1  0.212  0.084  0.169  1.0
  K  K3  1  0.261  0.511  0.517  1.0
  K  K4  1  0.957  0.580  0.161  1.0
  K  K5  1  0.258  0.011  0.519  1.0
  K  K6  1  0.743  0.496  0.485  1.0
  K  K7  1  0.040  0.413  0.830  1.0
  Eu  Eu8  1  0.499  0.747  0.998  1.0
  Eu  Eu9  1  0.503  0.251  0.000  1.0
  P  P10  1  0.833  0.128  0.255  1.0
  P  P11  1  0.167  0.872  0.743  1.0
  P  P12  1  0.423  0.628  0.258  1.0
  P  P13  1  0.574  0.369  0.741  1.0
  S  S14  1  0.369  0.393  0.787  1.0
  S  S15  1  0.281  0.411  0.160  1.0
  S  S16  1  0.878  0.249  0.159  1.0
  S  S17  1  0.283  0.747  0.160  1.0
  S  S18  1  0.126  0.752  0.841  1.0
  S  S19  1  0.629  0.605  0.213  1.0
  S  S20  1  0.506  0.258  0.523  1.0
  S  S21  1  0.419  0.896  0.792  1.0
  S  S22  1  0.712  0.249  0.839  1.0
  S  S23  1  0.017  0.763  0.525  1.0
  S  S24  1  0.877  0.911  0.159  1.0
  S  S25  1  0.582  0.103  0.207  1.0
  S  S26  1  0.124  0.089  0.837  1.0
  S  S27  1  0.714  0.586  0.836  1.0
  S  S28  1  0.494  0.739  0.477  1.0
  S  S29  1  0.981  0.239  0.473  1.0
[/CIF]
.
The structure described by K4Eu(PS4)2 crystallizes in the triclinic P1 space group. There are eight inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one S(11), one S(13), one S(14), one S(15), one S(3), one S(5), one S(8), and one S(9) atom. In the second K site, K(2) is bonded in a 6-coordinate geometry to one S(10), one S(12), one S(15), one S(16), one S(6), and one S(7) atom. In the third K site, K(3) is bonded in a 8-coordinate geometry to one S(11), one S(12), one S(13), one S(2), one S(3), one S(4), one S(5), and one S(7) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to one S(1), one S(10), one S(15), one S(16), one S(7), and one S(8) atom. In the fifth K site, K(5) is bonded in a 8-coordinate geometry to one S(10), one S(11), one S(14), one S(2), one S(3), one S(4), one S(6), and one S(9) atom. In the sixth K site, K(6) is bonded in a 6-coordinate geometry to one S(1), one S(10), one S(15), one S(16), one S(7), and one S(8) atom. In the seventh K site, K(7) is bonded in a 6-coordinate geometry to one S(10), one S(12), one S(15), one S(16), one S(6), and one S(7) atom. In the eighth K site, K(8) is bonded in a 8-coordinate geometry to one S(1), one S(13), one S(14), one S(16), one S(2), one S(4), one S(5), and one S(9) atom. There are two inequivalent Eu sites. In the first Eu site, Eu(1) is bonded to one S(1), one S(11), one S(12), one S(14), one S(4), one S(5), one S(6), and one S(8) atom to form distorted EuS8 hexagonal bipyramids that share edges with two equivalent Eu(2)S8 hexagonal bipyramids,  an edgeedge with one P(1)S4 tetrahedra,  an edgeedge with one P(2)S4 tetrahedra,  an edgeedge with one P(3)S4 tetrahedra, and  an edgeedge with one P(4)S4 tetrahedra. In the second Eu site, Eu(2) is bonded to one S(1), one S(12), one S(13), one S(2), one S(3), one S(6), one S(8), and one S(9) atom to form distorted EuS8 hexagonal bipyramids that share edges with two equivalent Eu(1)S8 hexagonal bipyramids,  an edgeedge with one P(1)S4 tetrahedra,  an edgeedge with one P(2)S4 tetrahedra,  an edgeedge with one P(3)S4 tetrahedra, and  an edgeedge with one P(4)S4 tetrahedra. There are four inequivalent P sites. In the first P site, P(1) is bonded to one S(11), one S(12), one S(16), and one S(3) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. In the second P site, P(2) is bonded to one S(10), one S(13), one S(5), and one S(8) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. In the third P site, P(3) is bonded to one S(15), one S(2), one S(4), and one S(6) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. In the fourth P site, P(4) is bonded to one S(1), one S(14), one S(7), and one S(9) atom to form PS4 tetrahedra that share  an edgeedge with one Eu(1)S8 hexagonal bipyramid and  an edgeedge with one Eu(2)S8 hexagonal bipyramid. There are sixteen inequivalent S sites. In the first S site, S(1) is bonded in a 6-coordinate geometry to one K(4), one K(6), one K(8), one Eu(1), one Eu(2), and one P(4) atom. In the second S site, S(2) is bonded in a 1-coordinate geometry to one K(3), one K(5), one K(8), one Eu(2), and one P(3) atom. In the third S site, S(3) is bonded in a 5-coordinate geometry to one K(1), one K(3), one K(5), one Eu(2), and one P(1) atom. In the fourth S site, S(4) is bonded in a 5-coordinate geometry to one K(3), one K(5), one K(8), one Eu(1), and one P(3) atom. In the fifth S site, S(5) is bonded in a 1-coordinate geometry to one K(1), one K(3), one K(8), one Eu(1), and one P(2) atom. In the sixth S site, S(6) is bonded in a 6-coordinate geometry to one K(2), one K(5), one K(7), one Eu(1), one Eu(2), and one P(3) atom. In the seventh S site, S(7) is bonded to one K(2), one K(3), one K(4), one K(6), one K(7), and one P(4) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the eighth S site, S(8) is bonded in a 6-coordinate geometry to one K(1), one K(4), one K(6), one Eu(1), one Eu(2), and one P(2) atom. In the ninth S site, S(9) is bonded in a 5-coordinate geometry to one K(1), one K(5), one K(8), one Eu(2), and one P(4) atom. In the tenth S site, S(10) is bonded to one K(2), one K(4), one K(5), one K(6), one K(7), and one P(2) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 2-12°. In the eleventh S site, S(11) is bonded in a 5-coordinate geometry to one K(1), one K(3), one K(5), one Eu(1), and one P(1) atom. In the twelfth S site, S(12) is bonded in a 6-coordinate geometry to one K(2), one K(3), one K(7), one Eu(1), one Eu(2), and one P(1) atom. In the thirteenth S site, S(13) is bonded in a 1-coordinate geometry to one K(1), one K(3), one K(8), one Eu(2), and one P(2) atom. In the fourteenth S site, S(14) is bonded in a 1-coordinate geometry to one K(1), one K(5), one K(8), one Eu(1), and one P(4) atom. In the fifteenth S site, S(15) is bonded to one K(1), one K(2), one K(4), one K(6), one K(7), and one P(3) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 3-14°. In the sixteenth S site, S(16) is bonded to one K(2), one K(4), one K(6), one K(7), one K(8), and one P(1) atom to form a mixture of distorted edge and corner-sharing SK5P octahedra. The corner-sharing octahedral tilt angles range from 3-14°. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4Eu(PS4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.909
_cell_length_b   9.839
_cell_length_c   11.361
_cell_angle_alpha   115.605
_cell_angle_beta   113.145
_cell_angle_gamma   90.129
_symmetry_Int_Tables_number   1
_cell_volume   807.730
_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  0.797  0.916  0.834  1.0
  K  K1  1  0.742  0.992  0.487  1.0
  K  K2  1  0.212  0.084  0.169  1.0
  K  K3  1  0.261  0.511  0.517  1.0
  K  K4  1  0.957  0.580  0.161  1.0
  K  K5  1  0.258  0.011  0.519  1.0
  K  K6  1  0.743  0.496  0.485  1.0
  K  K7  1  0.040  0.413  0.830  1.0
  Eu  Eu8  1  0.499  0.747  0.998  1.0
  Eu  Eu9  1  0.503  0.251  0.000  1.0
  P  P10  1  0.833  0.128  0.255  1.0
  P  P11  1  0.167  0.872  0.743  1.0
  P  P12  1  0.423  0.628  0.258  1.0
  P  P13  1  0.574  0.369  0.741  1.0
  S  S14  1  0.369  0.393  0.787  1.0
  S  S15  1  0.281  0.411  0.160  1.0
  S  S16  1  0.878  0.249  0.159  1.0
  S  S17  1  0.283  0.747  0.160  1.0
  S  S18  1  0.126  0.752  0.841  1.0
  S  S19  1  0.629  0.605  0.213  1.0
  S  S20  1  0.506  0.258  0.523  1.0
  S  S21  1  0.419  0.896  0.792  1.0
  S  S22  1  0.712  0.249  0.839  1.0
  S  S23  1  0.017  0.763  0.525  1.0
  S  S24  1  0.877  0.911  0.159  1.0
  S  S25  1  0.582  0.103  0.207  1.0
  S  S26  1  0.124  0.089  0.837  1.0
  S  S27  1  0.714  0.586  0.836  1.0
  S  S28  1  0.494  0.739  0.477  1.0
  S  S29  1  0.981  0.239  0.473  1.0
[/CIF]
.