The material described by K2MgSm2(MoO4)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 10-coordinate geometry to one Mg(1), one O(1), one O(13), one O(14), one O(15), one O(16), one O(2), one O(3), one O(4), and one O(7) atom. In the second K site, K(2) is bonded in a 9-coordinate geometry to one O(1), one O(13), one O(15), one O(2), one O(3), one O(4), one O(6), one O(8), and one O(9) atom. Mg(1) is bonded to one K(1), one O(10), one O(16), one O(3), one O(4), and one O(8) atom to form distorted MgKO5 trigonal bipyramids that share  a cornercorner with one Sm(1)O7 pentagonal bipyramid,  a cornercorner with one Mo(1)O5 trigonal bipyramid,  an edgeedge with one Mo(4)O6 octahedra,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mo(2)O5 trigonal bipyramid. There are two inequivalent Sm sites. In the first Sm site, Sm(1) is bonded to one O(11), one O(13), one O(15), one O(5), one O(6), one O(8), and one O(9) atom to form distorted SmO7 pentagonal bipyramids that share corners with two equivalent Mo(4)O6 octahedra,  a cornercorner with one Mg(1)KO5 trigonal bipyramid, corners with two equivalent Mo(1)O5 trigonal bipyramids, corners with two equivalent Mo(2)O5 trigonal bipyramids, and  an edgeedge with one Sm(2)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 34°. In the second Sm site, Sm(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), one O(6), and one O(7) atom to form distorted SmO7 pentagonal bipyramids that share  a cornercorner with one Mo(4)O6 octahedra, corners with two equivalent Mo(1)O5 trigonal bipyramids, corners with two equivalent Mo(2)O5 trigonal bipyramids,  an edgeedge with one Mo(4)O6 octahedra,  an edgeedge with one Sm(1)O7 pentagonal bipyramid, and  an edgeedge with one Mg(1)KO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 25°. There are four inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(1), one O(10), one O(13), one O(7), and one O(9) atom to form distorted MoO5 trigonal bipyramids that share  a cornercorner with one Mo(4)O6 octahedra, corners with two equivalent Sm(1)O7 pentagonal bipyramids, corners with two equivalent Sm(2)O7 pentagonal bipyramids,  a cornercorner with one Mg(1)KO5 trigonal bipyramid, and  an edgeedge with one Mo(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. In the second Mo site, Mo(2) is bonded to one O(10), one O(14), one O(2), one O(8), and one O(9) atom to form distorted MoO5 trigonal bipyramids that share corners with two equivalent Sm(1)O7 pentagonal bipyramids, corners with two equivalent Sm(2)O7 pentagonal bipyramids,  an edgeedge with one Mg(1)KO5 trigonal bipyramid, and  an edgeedge with one Mo(1)O5 trigonal bipyramid. In the third Mo site, Mo(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(15), one O(2), one O(3), and one O(5) atom. In the fourth Mo site, Mo(4) is bonded to one O(1), one O(11), one O(12), one O(16), one O(4), and one O(6) atom to form distorted MoO6 octahedra that share  a cornercorner with one Sm(2)O7 pentagonal bipyramid, corners with two equivalent Sm(1)O7 pentagonal bipyramids,  a cornercorner with one Mo(1)O5 trigonal bipyramid,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mg(1)KO5 trigonal bipyramid. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(1), and one Mo(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(2), and one Mo(3) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one K(2), one Mg(1), and one Mo(3) atom. In the fourth O site, O(4) is bonded in a distorted L-shaped geometry to one K(1), one K(2), one Mg(1), and one Mo(4) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Sm(1), one Sm(2), and one Mo(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one K(2), one Sm(1), one Sm(2), and one Mo(4) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one K(1), one Sm(2), and one Mo(1) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one K(2), one Mg(1), one Sm(1), and one Mo(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one K(2), one Sm(1), one Mo(1), and one Mo(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Mg(1), one Sm(2), one Mo(1), and one Mo(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Sm(1), one Mo(3), and one Mo(4) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Sm(2), one Mo(3), and one Mo(4) atom. In the thirteenth O site, O(13) is bonded in a 2-coordinate geometry to one K(1), one K(2), one Sm(1), and one Mo(1) atom. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to one K(1), one Sm(2), and one Mo(2) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Sm(1), and one Mo(3) atom. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one K(1), one Mg(1), one Sm(2), and one Mo(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2Sm2Mg(MoO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.463
_cell_length_b   7.972
_cell_length_c   7.788
_cell_angle_alpha   114.908
_cell_angle_beta   116.159
_cell_angle_gamma   93.808
_symmetry_Int_Tables_number   1
_cell_volume   358.670
_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  0.355  0.131  0.197  1.0
  K  K1  1  0.556  0.850  0.748  1.0
  Sm  Sm2  1  0.004  0.791  0.250  1.0
  Sm  Sm3  1  0.987  0.186  0.731  1.0
  Mg  Mg4  1  0.687  0.461  0.621  1.0
  Mo  Mo5  1  0.937  0.313  0.261  1.0
  Mo  Mo6  1  0.086  0.694  0.745  1.0
  Mo  Mo7  1  0.523  0.670  0.227  1.0
  Mo  Mo8  1  0.477  0.309  0.782  1.0
  O  O9  1  0.660  0.233  0.063  1.0
  O  O10  1  0.359  0.773  0.944  1.0
  O  O11  1  0.616  0.581  0.418  1.0
  O  O12  1  0.400  0.416  0.592  1.0
  O  O13  1  0.748  0.893  0.370  1.0
  O  O14  1  0.258  0.082  0.624  1.0
  O  O15  1  0.047  0.333  0.102  1.0
  O  O16  1  0.928  0.682  0.892  1.0
  O  O17  1  0.054  0.614  0.446  1.0
  O  O18  1  0.925  0.393  0.549  1.0
  O  O19  1  0.674  0.568  0.050  1.0
  O  O20  1  0.316  0.427  0.957  1.0
  O  O21  1  0.981  0.090  0.248  1.0
  O  O22  1  0.036  0.935  0.785  1.0
  O  O23  1  0.342  0.781  0.295  1.0
  O  O24  1  0.677  0.241  0.688  1.0
[/CIF]
.
The material described by K2MgSm2(MoO4)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 10-coordinate geometry to one Mg(1), one O(1), one O(13), one O(14), one O(15), one O(16), one O(2), one O(3), one O(4), and one O(7) atom. In the second K site, K(2) is bonded in a 9-coordinate geometry to one O(1), one O(13), one O(15), one O(2), one O(3), one O(4), one O(6), one O(8), and one O(9) atom. Mg(1) is bonded to one K(1), one O(10), one O(16), one O(3), one O(4), and one O(8) atom to form distorted MgKO5 trigonal bipyramids that share  a cornercorner with one Sm(1)O7 pentagonal bipyramid,  a cornercorner with one Mo(1)O5 trigonal bipyramid,  an edgeedge with one Mo(4)O6 octahedra,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mo(2)O5 trigonal bipyramid. There are two inequivalent Sm sites. In the first Sm site, Sm(1) is bonded to one O(11), one O(13), one O(15), one O(5), one O(6), one O(8), and one O(9) atom to form distorted SmO7 pentagonal bipyramids that share corners with two equivalent Mo(4)O6 octahedra,  a cornercorner with one Mg(1)KO5 trigonal bipyramid, corners with two equivalent Mo(1)O5 trigonal bipyramids, corners with two equivalent Mo(2)O5 trigonal bipyramids, and  an edgeedge with one Sm(2)O7 pentagonal bipyramid. The corner-sharing octahedral tilt angles are 34°. In the second Sm site, Sm(2) is bonded to one O(10), one O(12), one O(14), one O(16), one O(5), one O(6), and one O(7) atom to form distorted SmO7 pentagonal bipyramids that share  a cornercorner with one Mo(4)O6 octahedra, corners with two equivalent Mo(1)O5 trigonal bipyramids, corners with two equivalent Mo(2)O5 trigonal bipyramids,  an edgeedge with one Mo(4)O6 octahedra,  an edgeedge with one Sm(1)O7 pentagonal bipyramid, and  an edgeedge with one Mg(1)KO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 25°. There are four inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(1), one O(10), one O(13), one O(7), and one O(9) atom to form distorted MoO5 trigonal bipyramids that share  a cornercorner with one Mo(4)O6 octahedra, corners with two equivalent Sm(1)O7 pentagonal bipyramids, corners with two equivalent Sm(2)O7 pentagonal bipyramids,  a cornercorner with one Mg(1)KO5 trigonal bipyramid, and  an edgeedge with one Mo(2)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. In the second Mo site, Mo(2) is bonded to one O(10), one O(14), one O(2), one O(8), and one O(9) atom to form distorted MoO5 trigonal bipyramids that share corners with two equivalent Sm(1)O7 pentagonal bipyramids, corners with two equivalent Sm(2)O7 pentagonal bipyramids,  an edgeedge with one Mg(1)KO5 trigonal bipyramid, and  an edgeedge with one Mo(1)O5 trigonal bipyramid. In the third Mo site, Mo(3) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(15), one O(2), one O(3), and one O(5) atom. In the fourth Mo site, Mo(4) is bonded to one O(1), one O(11), one O(12), one O(16), one O(4), and one O(6) atom to form distorted MoO6 octahedra that share  a cornercorner with one Sm(2)O7 pentagonal bipyramid, corners with two equivalent Sm(1)O7 pentagonal bipyramids,  a cornercorner with one Mo(1)O5 trigonal bipyramid,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mg(1)KO5 trigonal bipyramid. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(1), and one Mo(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Mo(2), and one Mo(3) atom. In the third O site, O(3) is bonded in a distorted linear geometry to one K(1), one K(2), one Mg(1), and one Mo(3) atom. In the fourth O site, O(4) is bonded in a distorted L-shaped geometry to one K(1), one K(2), one Mg(1), and one Mo(4) atom. In the fifth O site, O(5) is bonded in a distorted trigonal non-coplanar geometry to one Sm(1), one Sm(2), and one Mo(3) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one K(2), one Sm(1), one Sm(2), and one Mo(4) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one K(1), one Sm(2), and one Mo(1) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one K(2), one Mg(1), one Sm(1), and one Mo(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one K(2), one Sm(1), one Mo(1), and one Mo(2) atom. In the tenth O site, O(10) is bonded in a distorted trigonal pyramidal geometry to one Mg(1), one Sm(2), one Mo(1), and one Mo(2) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal non-coplanar geometry to one Sm(1), one Mo(3), and one Mo(4) atom. In the twelfth O site, O(12) is bonded in a distorted T-shaped geometry to one Sm(2), one Mo(3), and one Mo(4) atom. In the thirteenth O site, O(13) is bonded in a 2-coordinate geometry to one K(1), one K(2), one Sm(1), and one Mo(1) atom. In the fourteenth O site, O(14) is bonded in a distorted T-shaped geometry to one K(1), one Sm(2), and one Mo(2) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one K(1), one K(2), one Sm(1), and one Mo(3) atom. In the sixteenth O site, O(16) is bonded in a distorted T-shaped geometry to one K(1), one Mg(1), one Sm(2), and one Mo(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K2Sm2Mg(MoO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.463
_cell_length_b   7.972
_cell_length_c   7.788
_cell_angle_alpha   114.908
_cell_angle_beta   116.159
_cell_angle_gamma   93.808
_symmetry_Int_Tables_number   1
_cell_volume   358.670
_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  0.355  0.131  0.197  1.0
  K  K1  1  0.556  0.850  0.748  1.0
  Sm  Sm2  1  0.004  0.791  0.250  1.0
  Sm  Sm3  1  0.987  0.186  0.731  1.0
  Mg  Mg4  1  0.687  0.461  0.621  1.0
  Mo  Mo5  1  0.937  0.313  0.261  1.0
  Mo  Mo6  1  0.086  0.694  0.745  1.0
  Mo  Mo7  1  0.523  0.670  0.227  1.0
  Mo  Mo8  1  0.477  0.309  0.782  1.0
  O  O9  1  0.660  0.233  0.063  1.0
  O  O10  1  0.359  0.773  0.944  1.0
  O  O11  1  0.616  0.581  0.418  1.0
  O  O12  1  0.400  0.416  0.592  1.0
  O  O13  1  0.748  0.893  0.370  1.0
  O  O14  1  0.258  0.082  0.624  1.0
  O  O15  1  0.047  0.333  0.102  1.0
  O  O16  1  0.928  0.682  0.892  1.0
  O  O17  1  0.054  0.614  0.446  1.0
  O  O18  1  0.925  0.393  0.549  1.0
  O  O19  1  0.674  0.568  0.050  1.0
  O  O20  1  0.316  0.427  0.957  1.0
  O  O21  1  0.981  0.090  0.248  1.0
  O  O22  1  0.036  0.935  0.785  1.0
  O  O23  1  0.342  0.781  0.295  1.0
  O  O24  1  0.677  0.241  0.688  1.0
[/CIF]
.