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 5-coordinate geometry to one O(1), one O(15), one O(3), one O(4), and one O(5) atom. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(16), one O(2), and one O(4) atom. Mg(1) is bonded to one O(12), one O(13), one O(14), one O(2), one O(3), and one O(7) atom to form distorted MgO6 octahedra that share corners with two equivalent Sm(1)O7 pentagonal bipyramids,  an edgeedge with one Mo(3)O5 tetrahedra,  an edgeedge with one Mo(1)O5 trigonal bipyramid,  an edgeedge with one Mo(2)O5 trigonal bipyramid, and  a faceface with one Sm(2)O7 pentagonal 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(6), one O(7), one O(8), and one O(9) atom to form distorted SmO7 pentagonal bipyramids that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mo(3)O5 tetrahedra,  a cornercorner with one Mo(1)O5 trigonal bipyramid, corners with two equivalent Mo(2)O5 trigonal bipyramids,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mo(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 35-51°. 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(7), and one O(8) atom to form distorted SmO7 pentagonal bipyramids that share corners with two equivalent Mo(3)O5 tetrahedra,  a cornercorner with one Mo(2)O5 trigonal bipyramid, corners with two equivalent Mo(1)O5 trigonal bipyramids,  an edgeedge with one Sm(1)O7 pentagonal bipyramid,  an edgeedge with one Mo(2)O5 trigonal bipyramid, and  a faceface with one Mg(1)O6 octahedra. 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 Sm(1)O7 pentagonal bipyramid, corners with two equivalent Sm(2)O7 pentagonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sm(1)O7 pentagonal bipyramid, and  an edgeedge with one Mo(2)O5 trigonal bipyramid. 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  a cornercorner with one Sm(2)O7 pentagonal bipyramid, corners with two equivalent Sm(1)O7 pentagonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mo(1)O5 trigonal bipyramid. In the third Mo site, Mo(3) is bonded to one O(11), one O(12), one O(15), one O(3), and one O(5) atom to form distorted MoO5 tetrahedra that share corners with two equivalent Sm(1)O7 pentagonal bipyramids, corners with two equivalent Sm(2)O7 pentagonal bipyramids, and  an edgeedge with one Mg(1)O6 octahedra. In the fourth Mo site, Mo(4) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(16), one O(4), and one O(6) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one K(1), one K(2), and one Mo(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(2), one Mg(1), and one Mo(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one K(1), one Mg(1), and one Mo(3) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one K(2), and one Mo(4) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one K(1), one Sm(2), and one Mo(3) atom. In the sixth O site, O(6) is bonded in a distorted bent 150 degrees geometry to one Sm(1) and one Mo(4) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Mg(1), one Sm(1), one Sm(2), and one Mo(1) atom. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Sm(1), one Sm(2), and one Mo(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Sm(1), one Mo(1), and one Mo(2) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Sm(2), one Mo(1), and one Mo(2) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Sm(1), one Mo(3), and one Mo(4) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Mg(1), one Sm(2), one Mo(3), and one Mo(4) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(1), one Sm(1), and one Mo(1) atom. In the fourteenth O site, O(14) is bonded in a distorted see-saw-like geometry to one K(2), one Mg(1), one Sm(2), and one Mo(2) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one K(1), one Sm(1), and one Mo(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one K(2), 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   7.806
_cell_length_b   7.301
_cell_length_c   8.431
_cell_angle_alpha   117.467
_cell_angle_beta   104.278
_cell_angle_gamma   101.788
_symmetry_Int_Tables_number   1
_cell_volume   383.851
_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  0.538  0.203  0.377  1.0
  K  K1  1  0.614  0.851  0.786  1.0
  Sm  Sm2  1  0.032  0.762  0.206  1.0
  Sm  Sm3  1  0.942  0.248  0.750  1.0
  Mg  Mg4  1  0.202  0.194  0.054  1.0
  Mo  Mo5  1  0.964  0.314  0.284  1.0
  Mo  Mo6  1  0.065  0.718  0.723  1.0
  Mo  Mo7  1  0.531  0.676  0.226  1.0
  Mo  Mo8  1  0.429  0.283  0.749  1.0
  O  O9  1  0.724  0.143  0.156  1.0
  O  O10  1  0.303  0.906  0.881  1.0
  O  O11  1  0.463  0.476  0.289  1.0
  O  O12  1  0.442  0.458  0.661  1.0
  O  O13  1  0.719  0.923  0.438  1.0
  O  O14  1  0.248  0.032  0.540  1.0
  O  O15  1  0.035  0.393  0.101  1.0
  O  O16  1  0.962  0.622  0.876  1.0
  O  O17  1  0.994  0.635  0.438  1.0
  O  O18  1  0.014  0.380  0.558  1.0
  O  O19  1  0.659  0.606  0.061  1.0
  O  O20  1  0.294  0.344  0.915  1.0
  O  O21  1  0.110  0.115  0.227  1.0
  O  O22  1  0.966  0.956  0.786  1.0
  O  O23  1  0.343  0.777  0.189  1.0
  O  O24  1  0.638  0.208  0.763  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 5-coordinate geometry to one O(1), one O(15), one O(3), one O(4), and one O(5) atom. In the second K site, K(2) is bonded in a 5-coordinate geometry to one O(1), one O(14), one O(16), one O(2), and one O(4) atom. Mg(1) is bonded to one O(12), one O(13), one O(14), one O(2), one O(3), and one O(7) atom to form distorted MgO6 octahedra that share corners with two equivalent Sm(1)O7 pentagonal bipyramids,  an edgeedge with one Mo(3)O5 tetrahedra,  an edgeedge with one Mo(1)O5 trigonal bipyramid,  an edgeedge with one Mo(2)O5 trigonal bipyramid, and  a faceface with one Sm(2)O7 pentagonal 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(6), one O(7), one O(8), and one O(9) atom to form distorted SmO7 pentagonal bipyramids that share corners with two equivalent Mg(1)O6 octahedra, corners with two equivalent Mo(3)O5 tetrahedra,  a cornercorner with one Mo(1)O5 trigonal bipyramid, corners with two equivalent Mo(2)O5 trigonal bipyramids,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mo(1)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 35-51°. 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(7), and one O(8) atom to form distorted SmO7 pentagonal bipyramids that share corners with two equivalent Mo(3)O5 tetrahedra,  a cornercorner with one Mo(2)O5 trigonal bipyramid, corners with two equivalent Mo(1)O5 trigonal bipyramids,  an edgeedge with one Sm(1)O7 pentagonal bipyramid,  an edgeedge with one Mo(2)O5 trigonal bipyramid, and  a faceface with one Mg(1)O6 octahedra. 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 Sm(1)O7 pentagonal bipyramid, corners with two equivalent Sm(2)O7 pentagonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sm(1)O7 pentagonal bipyramid, and  an edgeedge with one Mo(2)O5 trigonal bipyramid. 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  a cornercorner with one Sm(2)O7 pentagonal bipyramid, corners with two equivalent Sm(1)O7 pentagonal bipyramids,  an edgeedge with one Mg(1)O6 octahedra,  an edgeedge with one Sm(2)O7 pentagonal bipyramid, and  an edgeedge with one Mo(1)O5 trigonal bipyramid. In the third Mo site, Mo(3) is bonded to one O(11), one O(12), one O(15), one O(3), and one O(5) atom to form distorted MoO5 tetrahedra that share corners with two equivalent Sm(1)O7 pentagonal bipyramids, corners with two equivalent Sm(2)O7 pentagonal bipyramids, and  an edgeedge with one Mg(1)O6 octahedra. In the fourth Mo site, Mo(4) is bonded in a 5-coordinate geometry to one O(11), one O(12), one O(16), one O(4), and one O(6) atom. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a trigonal planar geometry to one K(1), one K(2), and one Mo(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one K(2), one Mg(1), and one Mo(2) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one K(1), one Mg(1), and one Mo(3) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one K(2), and one Mo(4) atom. In the fifth O site, O(5) is bonded in a distorted T-shaped geometry to one K(1), one Sm(2), and one Mo(3) atom. In the sixth O site, O(6) is bonded in a distorted bent 150 degrees geometry to one Sm(1) and one Mo(4) atom. In the seventh O site, O(7) is bonded in a distorted see-saw-like geometry to one Mg(1), one Sm(1), one Sm(2), and one Mo(1) atom. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Sm(1), one Sm(2), and one Mo(2) atom. In the ninth O site, O(9) is bonded in a distorted trigonal non-coplanar geometry to one Sm(1), one Mo(1), and one Mo(2) atom. In the tenth O site, O(10) is bonded in a 3-coordinate geometry to one Sm(2), one Mo(1), and one Mo(2) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one Sm(1), one Mo(3), and one Mo(4) atom. In the twelfth O site, O(12) is bonded in a 4-coordinate geometry to one Mg(1), one Sm(2), one Mo(3), and one Mo(4) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Mg(1), one Sm(1), and one Mo(1) atom. In the fourteenth O site, O(14) is bonded in a distorted see-saw-like geometry to one K(2), one Mg(1), one Sm(2), and one Mo(2) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one K(1), one Sm(1), and one Mo(3) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one K(2), 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   7.806
_cell_length_b   7.301
_cell_length_c   8.431
_cell_angle_alpha   117.467
_cell_angle_beta   104.278
_cell_angle_gamma   101.788
_symmetry_Int_Tables_number   1
_cell_volume   383.851
_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  0.538  0.203  0.377  1.0
  K  K1  1  0.614  0.851  0.786  1.0
  Sm  Sm2  1  0.032  0.762  0.206  1.0
  Sm  Sm3  1  0.942  0.248  0.750  1.0
  Mg  Mg4  1  0.202  0.194  0.054  1.0
  Mo  Mo5  1  0.964  0.314  0.284  1.0
  Mo  Mo6  1  0.065  0.718  0.723  1.0
  Mo  Mo7  1  0.531  0.676  0.226  1.0
  Mo  Mo8  1  0.429  0.283  0.749  1.0
  O  O9  1  0.724  0.143  0.156  1.0
  O  O10  1  0.303  0.906  0.881  1.0
  O  O11  1  0.463  0.476  0.289  1.0
  O  O12  1  0.442  0.458  0.661  1.0
  O  O13  1  0.719  0.923  0.438  1.0
  O  O14  1  0.248  0.032  0.540  1.0
  O  O15  1  0.035  0.393  0.101  1.0
  O  O16  1  0.962  0.622  0.876  1.0
  O  O17  1  0.994  0.635  0.438  1.0
  O  O18  1  0.014  0.380  0.558  1.0
  O  O19  1  0.659  0.606  0.061  1.0
  O  O20  1  0.294  0.344  0.915  1.0
  O  O21  1  0.110  0.115  0.227  1.0
  O  O22  1  0.966  0.956  0.786  1.0
  O  O23  1  0.343  0.777  0.189  1.0
  O  O24  1  0.638  0.208  0.763  1.0
[/CIF]
.