The compound described by K2MgNd2(SO4)4 crystallizes in the triclinic P1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 9-coordinate geometry to one Mg(1), one O(10), one O(11), one O(12), one O(13), one O(2), one O(5), one O(6), and one O(7) atom. In the second K site, K(2) is bonded to one O(1), one O(10), one O(13), one O(14), one O(6), one O(7), and one O(8) atom to form distorted KO7 pentagonal bipyramids that share  a cornercorner with one S(1)O4 tetrahedra,  a cornercorner with one S(2)O4 tetrahedra,  a cornercorner with one S(3)O4 tetrahedra,  an edgeedge with one S(1)O4 tetrahedra, and  an edgeedge with one S(3)O4 tetrahedra. Mg(1) is bonded in a 4-coordinate geometry to one K(1), one O(15), one O(2), one O(3), and one O(9) atom. There are two inequivalent Nd sites. In the first Nd site, Nd(1) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(12), one O(16), one O(2), one O(4), one O(5), and one O(7) atom. In the second Nd site, Nd(2) is bonded in a 8-coordinate geometry to one O(1), one O(13), one O(14), one O(15), one O(3), one O(6), one O(8), and one O(9) atom. There are four inequivalent S sites. In the first S site, S(1) is bonded to one O(12), one O(13), one O(6), and one O(8) atom to form SO4 tetrahedra that share  a cornercorner with one K(2)O7 pentagonal bipyramid and  an edgeedge with one K(2)O7 pentagonal bipyramid. In the second S site, S(2) is bonded to one O(14), one O(16), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one K(2)O7 pentagonal bipyramid. In the third S site, S(3) is bonded to one O(1), one O(10), one O(11), and one O(7) atom to form SO4 tetrahedra that share  a cornercorner with one K(2)O7 pentagonal bipyramid and  an edgeedge with one K(2)O7 pentagonal bipyramid. In the fourth S site, S(4) is bonded in a tetrahedral geometry to one O(15), one O(2), one O(5), and one O(9) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(2), one Nd(2), and one S(3) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(1), one Mg(1), one Nd(1), and one S(4) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mg(1), one Nd(2), and one S(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Nd(1) and one S(2) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(1), one Nd(1), and one S(4) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Nd(2), and one S(1) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(1), one K(2), one Nd(1), and one S(3) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(2), one Nd(2), and one S(1) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mg(1), one Nd(2), and one S(4) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one K(1), one K(2), one Nd(1), and one S(3) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one K(1), one Nd(1), and one S(3) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one K(1), one Nd(1), and one S(1) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one K(1), one K(2), one Nd(2), and one S(1) atom. In the fourteenth O site, O(14) is bonded in a distorted single-bond geometry to one K(2), one Nd(2), and one S(2) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mg(1), one Nd(2), and one S(4) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 150 degrees geometry to one Nd(1) and one S(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2Nd2Mg(SO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.518
_cell_length_b   7.174
_cell_length_c   9.804
_cell_angle_alpha   100.823
_cell_angle_beta   96.260
_cell_angle_gamma   86.502
_symmetry_Int_Tables_number   1
_cell_volume   378.571
_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  K0  1  0.776  0.157  0.116  1.0
  K  K1  1  0.265  0.819  0.838  1.0
  Nd  Nd2  1  0.259  0.680  0.285  1.0
  Nd  Nd3  1  0.764  0.309  0.732  1.0
  Mg  Mg4  1  0.715  0.430  0.401  1.0
  S  S5  1  0.261  0.319  0.921  1.0
  S  S6  1  0.770  0.789  0.571  1.0
  S  S7  1  0.772  0.680  0.064  1.0
  S  S8  1  0.195  0.224  0.448  1.0
  O  O9  1  0.698  0.577  0.920  1.0
  O  O10  1  0.112  0.389  0.376  1.0
  O  O11  1  0.763  0.598  0.618  1.0
  O  O12  1  0.974  0.773  0.482  1.0
  O  O13  1  0.217  0.051  0.342  1.0
  O  O14  1  0.477  0.195  0.873  1.0
  O  O15  1  0.974  0.808  0.062  1.0
  O  O16  1  0.183  0.446  0.817  1.0
  O  O17  1  0.991  0.209  0.536  1.0
  O  O18  1  0.554  0.793  0.119  1.0
  O  O19  1  0.866  0.545  0.158  1.0
  O  O20  1  0.322  0.419  0.063  1.0
  O  O21  1  0.050  0.192  0.912  1.0
  O  O22  1  0.809  0.940  0.697  1.0
  O  O23  1  0.425  0.266  0.541  1.0
  O  O24  1  0.532  0.825  0.493  1.0
[/CIF]
.
The compound described by K2MgNd2(SO4)4 crystallizes in the triclinic P1 space group. There are two inequivalent K sites. In the first K site, K(1) is bonded in a 9-coordinate geometry to one Mg(1), one O(10), one O(11), one O(12), one O(13), one O(2), one O(5), one O(6), and one O(7) atom. In the second K site, K(2) is bonded to one O(1), one O(10), one O(13), one O(14), one O(6), one O(7), and one O(8) atom to form distorted KO7 pentagonal bipyramids that share  a cornercorner with one S(1)O4 tetrahedra,  a cornercorner with one S(2)O4 tetrahedra,  a cornercorner with one S(3)O4 tetrahedra,  an edgeedge with one S(1)O4 tetrahedra, and  an edgeedge with one S(3)O4 tetrahedra. Mg(1) is bonded in a 4-coordinate geometry to one K(1), one O(15), one O(2), one O(3), and one O(9) atom. There are two inequivalent Nd sites. In the first Nd site, Nd(1) is bonded in a 8-coordinate geometry to one O(10), one O(11), one O(12), one O(16), one O(2), one O(4), one O(5), and one O(7) atom. In the second Nd site, Nd(2) is bonded in a 8-coordinate geometry to one O(1), one O(13), one O(14), one O(15), one O(3), one O(6), one O(8), and one O(9) atom. There are four inequivalent S sites. In the first S site, S(1) is bonded to one O(12), one O(13), one O(6), and one O(8) atom to form SO4 tetrahedra that share  a cornercorner with one K(2)O7 pentagonal bipyramid and  an edgeedge with one K(2)O7 pentagonal bipyramid. In the second S site, S(2) is bonded to one O(14), one O(16), one O(3), and one O(4) atom to form SO4 tetrahedra that share  a cornercorner with one K(2)O7 pentagonal bipyramid. In the third S site, S(3) is bonded to one O(1), one O(10), one O(11), and one O(7) atom to form SO4 tetrahedra that share  a cornercorner with one K(2)O7 pentagonal bipyramid and  an edgeedge with one K(2)O7 pentagonal bipyramid. In the fourth S site, S(4) is bonded in a tetrahedral geometry to one O(15), one O(2), one O(5), and one O(9) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one K(2), one Nd(2), and one S(3) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(1), one Mg(1), one Nd(1), and one S(4) atom. In the third O site, O(3) is bonded in a distorted T-shaped geometry to one Mg(1), one Nd(2), and one S(2) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one Nd(1) and one S(2) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(1), one Nd(1), and one S(4) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Nd(2), and one S(1) atom. In the seventh O site, O(7) is bonded in a distorted single-bond geometry to one K(1), one K(2), one Nd(1), and one S(3) atom. In the eighth O site, O(8) is bonded in a distorted single-bond geometry to one K(2), one Nd(2), and one S(1) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Mg(1), one Nd(2), and one S(4) atom. In the tenth O site, O(10) is bonded in a distorted single-bond geometry to one K(1), one K(2), one Nd(1), and one S(3) atom. In the eleventh O site, O(11) is bonded in a distorted single-bond geometry to one K(1), one Nd(1), and one S(3) atom. In the twelfth O site, O(12) is bonded in a distorted single-bond geometry to one K(1), one Nd(1), and one S(1) atom. In the thirteenth O site, O(13) is bonded in a distorted single-bond geometry to one K(1), one K(2), one Nd(2), and one S(1) atom. In the fourteenth O site, O(14) is bonded in a distorted single-bond geometry to one K(2), one Nd(2), and one S(2) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mg(1), one Nd(2), and one S(4) atom. In the sixteenth O site, O(16) is bonded in a distorted bent 150 degrees geometry to one Nd(1) and one S(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2Nd2Mg(SO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.518
_cell_length_b   7.174
_cell_length_c   9.804
_cell_angle_alpha   100.823
_cell_angle_beta   96.260
_cell_angle_gamma   86.502
_symmetry_Int_Tables_number   1
_cell_volume   378.571
_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  K0  1  0.776  0.157  0.116  1.0
  K  K1  1  0.265  0.819  0.838  1.0
  Nd  Nd2  1  0.259  0.680  0.285  1.0
  Nd  Nd3  1  0.764  0.309  0.732  1.0
  Mg  Mg4  1  0.715  0.430  0.401  1.0
  S  S5  1  0.261  0.319  0.921  1.0
  S  S6  1  0.770  0.789  0.571  1.0
  S  S7  1  0.772  0.680  0.064  1.0
  S  S8  1  0.195  0.224  0.448  1.0
  O  O9  1  0.698  0.577  0.920  1.0
  O  O10  1  0.112  0.389  0.376  1.0
  O  O11  1  0.763  0.598  0.618  1.0
  O  O12  1  0.974  0.773  0.482  1.0
  O  O13  1  0.217  0.051  0.342  1.0
  O  O14  1  0.477  0.195  0.873  1.0
  O  O15  1  0.974  0.808  0.062  1.0
  O  O16  1  0.183  0.446  0.817  1.0
  O  O17  1  0.991  0.209  0.536  1.0
  O  O18  1  0.554  0.793  0.119  1.0
  O  O19  1  0.866  0.545  0.158  1.0
  O  O20  1  0.322  0.419  0.063  1.0
  O  O21  1  0.050  0.192  0.912  1.0
  O  O22  1  0.809  0.940  0.697  1.0
  O  O23  1  0.425  0.266  0.541  1.0
  O  O24  1  0.532  0.825  0.493  1.0
[/CIF]
.