The crystal structure 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 8-coordinate geometry to one O(10), one O(11), one O(15), one O(5), one O(7), one O(9), and two equivalent O(2) atoms. In the second K site, K(2) is bonded in a 9-coordinate geometry to one Mg(1), one O(13), one O(14), one O(16), one O(4), one O(6), one O(8), and two equivalent O(3) atoms. Mg(1) is bonded in a single-bond geometry to one K(2) and one O(7) 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 in a tetrahedral geometry to one O(12), one O(13), one O(6), and one O(8) atom. In the second S site, S(2) is bonded in a tetrahedral geometry to one O(14), one O(16), one O(3), and one O(4) atom. In the third S site, S(3) is bonded in a tetrahedral geometry to one O(1), one O(10), one O(11), and one O(7) atom. 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 distorted bent 150 degrees geometry to one Nd(2) and one S(3) atom. In the second O site, O(2) is bonded in a 1-coordinate geometry to two equivalent K(1), one Nd(1), and one S(4) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to two equivalent K(2), one Nd(2), and one S(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(2), one Nd(1), and one S(2) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to one K(1), one Nd(1), and one S(4) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(2), one Nd(2), and one S(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), 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 3-coordinate geometry to one K(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 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 linear geometry to one Nd(1) and one S(1) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one K(2), one Nd(2), and one S(1) atom. In the fourteenth O site, O(14) is bonded in a 1-coordinate geometry to one K(2), one Nd(2), and one S(2) atom. In the fifteenth O site, O(15) is bonded in a 1-coordinate geometry to one K(1), one Nd(2), and one S(4) atom. In the sixteenth O site, O(16) is bonded in a 1-coordinate geometry to one K(2), one Nd(1), and one S(2) atom. is represented by the CIF file [CIF]
data_K2Nd2Mg(SO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.901
_cell_length_b   6.971
_cell_length_c   10.181
_cell_angle_alpha   109.200
_cell_angle_beta   92.724
_cell_angle_gamma   90.859
_symmetry_Int_Tables_number   1
_cell_volume   394.872
_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  0.724  0.186  0.274  1.0
  K  K1  1  0.288  0.831  0.713  1.0
  Nd  Nd2  1  0.235  0.644  0.283  1.0
  Nd  Nd3  1  0.771  0.355  0.724  1.0
  Mg  Mg4  1  0.225  0.965  0.053  1.0
  S  S5  1  0.233  0.360  0.886  1.0
  S  S6  1  0.757  0.763  0.548  1.0
  S  S7  1  0.773  0.654  0.118  1.0
  S  S8  1  0.244  0.234  0.457  1.0
  O  O9  1  0.733  0.587  0.965  1.0
  O  O10  1  0.224  0.330  0.344  1.0
  O  O11  1  0.776  0.669  0.661  1.0
  O  O12  1  0.974  0.732  0.475  1.0
  O  O13  1  0.284  0.014  0.390  1.0
  O  O14  1  0.439  0.256  0.822  1.0
  O  O15  1  0.969  0.812  0.162  1.0
  O  O16  1  0.165  0.521  0.825  1.0
  O  O17  1  0.027  0.262  0.528  1.0
  O  O18  1  0.571  0.755  0.189  1.0
  O  O19  1  0.845  0.488  0.171  1.0
  O  O20  1  0.271  0.443  0.038  1.0
  O  O21  1  0.039  0.204  0.845  1.0
  O  O22  1  0.718  0.983  0.613  1.0
  O  O23  1  0.441  0.329  0.553  1.0
  O  O24  1  0.561  0.666  0.450  1.0
[/CIF]
.
The crystal structure 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 8-coordinate geometry to one O(10), one O(11), one O(15), one O(5), one O(7), one O(9), and two equivalent O(2) atoms. In the second K site, K(2) is bonded in a 9-coordinate geometry to one Mg(1), one O(13), one O(14), one O(16), one O(4), one O(6), one O(8), and two equivalent O(3) atoms. Mg(1) is bonded in a single-bond geometry to one K(2) and one O(7) 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 in a tetrahedral geometry to one O(12), one O(13), one O(6), and one O(8) atom. In the second S site, S(2) is bonded in a tetrahedral geometry to one O(14), one O(16), one O(3), and one O(4) atom. In the third S site, S(3) is bonded in a tetrahedral geometry to one O(1), one O(10), one O(11), and one O(7) atom. 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 distorted bent 150 degrees geometry to one Nd(2) and one S(3) atom. In the second O site, O(2) is bonded in a 1-coordinate geometry to two equivalent K(1), one Nd(1), and one S(4) atom. In the third O site, O(3) is bonded in a 1-coordinate geometry to two equivalent K(2), one Nd(2), and one S(2) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(2), one Nd(1), and one S(2) atom. In the fifth O site, O(5) is bonded in a 2-coordinate geometry to one K(1), one Nd(1), and one S(4) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one K(2), one Nd(2), and one S(1) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one K(1), one Mg(1), 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 3-coordinate geometry to one K(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 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 linear geometry to one Nd(1) and one S(1) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one K(2), one Nd(2), and one S(1) atom. In the fourteenth O site, O(14) is bonded in a 1-coordinate geometry to one K(2), one Nd(2), and one S(2) atom. In the fifteenth O site, O(15) is bonded in a 1-coordinate geometry to one K(1), one Nd(2), and one S(4) atom. In the sixteenth O site, O(16) is bonded in a 1-coordinate geometry to one K(2), one Nd(1), and one S(2) atom. is represented by the CIF file [CIF]
data_K2Nd2Mg(SO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.901
_cell_length_b   6.971
_cell_length_c   10.181
_cell_angle_alpha   109.200
_cell_angle_beta   92.724
_cell_angle_gamma   90.859
_symmetry_Int_Tables_number   1
_cell_volume   394.872
_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  0.724  0.186  0.274  1.0
  K  K1  1  0.288  0.831  0.713  1.0
  Nd  Nd2  1  0.235  0.644  0.283  1.0
  Nd  Nd3  1  0.771  0.355  0.724  1.0
  Mg  Mg4  1  0.225  0.965  0.053  1.0
  S  S5  1  0.233  0.360  0.886  1.0
  S  S6  1  0.757  0.763  0.548  1.0
  S  S7  1  0.773  0.654  0.118  1.0
  S  S8  1  0.244  0.234  0.457  1.0
  O  O9  1  0.733  0.587  0.965  1.0
  O  O10  1  0.224  0.330  0.344  1.0
  O  O11  1  0.776  0.669  0.661  1.0
  O  O12  1  0.974  0.732  0.475  1.0
  O  O13  1  0.284  0.014  0.390  1.0
  O  O14  1  0.439  0.256  0.822  1.0
  O  O15  1  0.969  0.812  0.162  1.0
  O  O16  1  0.165  0.521  0.825  1.0
  O  O17  1  0.027  0.262  0.528  1.0
  O  O18  1  0.571  0.755  0.189  1.0
  O  O19  1  0.845  0.488  0.171  1.0
  O  O20  1  0.271  0.443  0.038  1.0
  O  O21  1  0.039  0.204  0.845  1.0
  O  O22  1  0.718  0.983  0.613  1.0
  O  O23  1  0.441  0.329  0.553  1.0
  O  O24  1  0.561  0.666  0.450  1.0
[/CIF]
.