The material structure described by La(LuS2)3 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one S(2), one S(5), two equivalent S(6), and three equivalent S(1) atoms to form distorted LuS7 pentagonal bipyramids that share  a cornercorner with one Lu(2)S6 octahedra, corners with two equivalent Lu(3)S6 octahedra, edges with two equivalent Lu(2)S6 octahedra, and edges with four equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 40-51°. In the second Lu site, Lu(2) is bonded to one S(1), two equivalent S(5), and three equivalent S(3) atoms to form LuS6 octahedra that share corners with three equivalent Lu(3)S6 octahedra,  a cornercorner with one Lu(1)S7 pentagonal bipyramid, edges with four equivalent Lu(2)S6 octahedra, and edges with two equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 51-63°. In the third Lu site, Lu(3) is bonded to one S(3), two equivalent S(2), and three equivalent S(4) atoms to form LuS6 octahedra that share corners with three equivalent Lu(2)S6 octahedra, corners with two equivalent Lu(1)S7 pentagonal bipyramids, and edges with four equivalent Lu(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-63°. La(1) is bonded in a 8-coordinate geometry to one S(2), two equivalent S(4), two equivalent S(5), and three equivalent S(6) atoms. There are six inequivalent S sites. In the first S site, S(1) is bonded to one Lu(2) and three equivalent Lu(1) atoms to form distorted SLu4 tetrahedra that share corners with two equivalent S(1)Lu4 tetrahedra,  a cornercorner with one S(5)La2Lu3 trigonal bipyramid, corners with four equivalent S(6)La3Lu2 trigonal bipyramids, corners with three equivalent S(2)LaLu3 trigonal pyramids, edges with two equivalent S(1)Lu4 tetrahedra,  an edgeedge with one S(6)La3Lu2 trigonal bipyramid, and edges with two equivalent S(5)La2Lu3 trigonal bipyramids. In the second S site, S(2) is bonded to one Lu(1), two equivalent Lu(3), and one La(1) atom to form distorted SLaLu3 trigonal pyramids that share corners with two equivalent S(4)La2Lu3 square pyramids, corners with three equivalent S(1)Lu4 tetrahedra,  a cornercorner with one S(6)La3Lu2 trigonal bipyramid, corners with three equivalent S(5)La2Lu3 trigonal bipyramids, corners with two equivalent S(2)LaLu3 trigonal pyramids, edges with three equivalent S(4)La2Lu3 square pyramids, and edges with two equivalent S(6)La3Lu2 trigonal bipyramids. In the third S site, S(3) is bonded in a rectangular see-saw-like geometry to one Lu(3) and three equivalent Lu(2) atoms. In the fourth S site, S(4) is bonded to three equivalent Lu(3) and two equivalent La(1) atoms to form SLa2Lu3 square pyramids that share corners with two equivalent S(5)La2Lu3 trigonal bipyramids, corners with four equivalent S(6)La3Lu2 trigonal bipyramids, corners with two equivalent S(2)LaLu3 trigonal pyramids, edges with four equivalent S(4)La2Lu3 square pyramids,  an edgeedge with one S(5)La2Lu3 trigonal bipyramid,  an edgeedge with one S(6)La3Lu2 trigonal bipyramid, and edges with three equivalent S(2)LaLu3 trigonal pyramids. In the fifth S site, S(5) is bonded to one Lu(1), two equivalent Lu(2), and two equivalent La(1) atoms to form distorted SLa2Lu3 trigonal bipyramids that share corners with two equivalent S(4)La2Lu3 square pyramids,  a cornercorner with one S(1)Lu4 tetrahedra, corners with two equivalent S(6)La3Lu2 trigonal bipyramids, corners with three equivalent S(2)LaLu3 trigonal pyramids,  an edgeedge with one S(4)La2Lu3 square pyramid, edges with two equivalent S(1)Lu4 tetrahedra, edges with two equivalent S(5)La2Lu3 trigonal bipyramids, and edges with three equivalent S(6)La3Lu2 trigonal bipyramids. In the sixth S site, S(6) is bonded to two equivalent Lu(1) and three equivalent La(1) atoms to form distorted SLa3Lu2 trigonal bipyramids that share corners with four equivalent S(4)La2Lu3 square pyramids, corners with four equivalent S(1)Lu4 tetrahedra, corners with two equivalent S(5)La2Lu3 trigonal bipyramids,  a cornercorner with one S(2)LaLu3 trigonal pyramid,  an edgeedge with one S(4)La2Lu3 square pyramid,  an edgeedge with one S(1)Lu4 tetrahedra, edges with three equivalent S(5)La2Lu3 trigonal bipyramids, edges with four equivalent S(6)La3Lu2 trigonal bipyramids, and edges with two equivalent S(2)LaLu3 trigonal pyramids. is represented by the CIF file [CIF]
data_La(LuS2)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.937
_cell_length_b   10.942
_cell_length_c   11.176
_cell_angle_alpha   70.959
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   455.123
_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
  La  La0  1  0.750  0.552  0.803  1.0
  La  La1  1  0.250  0.448  0.197  1.0
  Lu  Lu2  1  0.750  0.178  1.000  1.0
  Lu  Lu3  1  0.250  0.822  0.000  1.0
  Lu  Lu4  1  0.750  0.947  0.666  1.0
  Lu  Lu5  1  0.250  0.053  0.334  1.0
  Lu  Lu6  1  0.750  0.662  0.411  1.0
  Lu  Lu7  1  0.250  0.338  0.589  1.0
  S  S8  1  0.750  0.978  0.889  1.0
  S  S9  1  0.250  0.022  0.111  1.0
  S  S10  1  0.750  0.299  0.749  1.0
  S  S11  1  0.250  0.701  0.251  1.0
  S  S12  1  0.750  0.892  0.444  1.0
  S  S13  1  0.250  0.108  0.556  1.0
  S  S14  1  0.750  0.418  0.411  1.0
  S  S15  1  0.250  0.582  0.589  1.0
  S  S16  1  0.750  0.226  0.231  1.0
  S  S17  1  0.250  0.774  0.769  1.0
  S  S18  1  0.750  0.624  0.036  1.0
  S  S19  1  0.250  0.376  0.964  1.0
[/CIF]
.
The material structure described by La(LuS2)3 crystallizes in the monoclinic P2_1/m space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one S(2), one S(5), two equivalent S(6), and three equivalent S(1) atoms to form distorted LuS7 pentagonal bipyramids that share  a cornercorner with one Lu(2)S6 octahedra, corners with two equivalent Lu(3)S6 octahedra, edges with two equivalent Lu(2)S6 octahedra, and edges with four equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 40-51°. In the second Lu site, Lu(2) is bonded to one S(1), two equivalent S(5), and three equivalent S(3) atoms to form LuS6 octahedra that share corners with three equivalent Lu(3)S6 octahedra,  a cornercorner with one Lu(1)S7 pentagonal bipyramid, edges with four equivalent Lu(2)S6 octahedra, and edges with two equivalent Lu(1)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 51-63°. In the third Lu site, Lu(3) is bonded to one S(3), two equivalent S(2), and three equivalent S(4) atoms to form LuS6 octahedra that share corners with three equivalent Lu(2)S6 octahedra, corners with two equivalent Lu(1)S7 pentagonal bipyramids, and edges with four equivalent Lu(3)S6 octahedra. The corner-sharing octahedral tilt angles range from 51-63°. La(1) is bonded in a 8-coordinate geometry to one S(2), two equivalent S(4), two equivalent S(5), and three equivalent S(6) atoms. There are six inequivalent S sites. In the first S site, S(1) is bonded to one Lu(2) and three equivalent Lu(1) atoms to form distorted SLu4 tetrahedra that share corners with two equivalent S(1)Lu4 tetrahedra,  a cornercorner with one S(5)La2Lu3 trigonal bipyramid, corners with four equivalent S(6)La3Lu2 trigonal bipyramids, corners with three equivalent S(2)LaLu3 trigonal pyramids, edges with two equivalent S(1)Lu4 tetrahedra,  an edgeedge with one S(6)La3Lu2 trigonal bipyramid, and edges with two equivalent S(5)La2Lu3 trigonal bipyramids. In the second S site, S(2) is bonded to one Lu(1), two equivalent Lu(3), and one La(1) atom to form distorted SLaLu3 trigonal pyramids that share corners with two equivalent S(4)La2Lu3 square pyramids, corners with three equivalent S(1)Lu4 tetrahedra,  a cornercorner with one S(6)La3Lu2 trigonal bipyramid, corners with three equivalent S(5)La2Lu3 trigonal bipyramids, corners with two equivalent S(2)LaLu3 trigonal pyramids, edges with three equivalent S(4)La2Lu3 square pyramids, and edges with two equivalent S(6)La3Lu2 trigonal bipyramids. In the third S site, S(3) is bonded in a rectangular see-saw-like geometry to one Lu(3) and three equivalent Lu(2) atoms. In the fourth S site, S(4) is bonded to three equivalent Lu(3) and two equivalent La(1) atoms to form SLa2Lu3 square pyramids that share corners with two equivalent S(5)La2Lu3 trigonal bipyramids, corners with four equivalent S(6)La3Lu2 trigonal bipyramids, corners with two equivalent S(2)LaLu3 trigonal pyramids, edges with four equivalent S(4)La2Lu3 square pyramids,  an edgeedge with one S(5)La2Lu3 trigonal bipyramid,  an edgeedge with one S(6)La3Lu2 trigonal bipyramid, and edges with three equivalent S(2)LaLu3 trigonal pyramids. In the fifth S site, S(5) is bonded to one Lu(1), two equivalent Lu(2), and two equivalent La(1) atoms to form distorted SLa2Lu3 trigonal bipyramids that share corners with two equivalent S(4)La2Lu3 square pyramids,  a cornercorner with one S(1)Lu4 tetrahedra, corners with two equivalent S(6)La3Lu2 trigonal bipyramids, corners with three equivalent S(2)LaLu3 trigonal pyramids,  an edgeedge with one S(4)La2Lu3 square pyramid, edges with two equivalent S(1)Lu4 tetrahedra, edges with two equivalent S(5)La2Lu3 trigonal bipyramids, and edges with three equivalent S(6)La3Lu2 trigonal bipyramids. In the sixth S site, S(6) is bonded to two equivalent Lu(1) and three equivalent La(1) atoms to form distorted SLa3Lu2 trigonal bipyramids that share corners with four equivalent S(4)La2Lu3 square pyramids, corners with four equivalent S(1)Lu4 tetrahedra, corners with two equivalent S(5)La2Lu3 trigonal bipyramids,  a cornercorner with one S(2)LaLu3 trigonal pyramid,  an edgeedge with one S(4)La2Lu3 square pyramid,  an edgeedge with one S(1)Lu4 tetrahedra, edges with three equivalent S(5)La2Lu3 trigonal bipyramids, edges with four equivalent S(6)La3Lu2 trigonal bipyramids, and edges with two equivalent S(2)LaLu3 trigonal pyramids. is represented by the CIF file [CIF]
data_La(LuS2)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.937
_cell_length_b   10.942
_cell_length_c   11.176
_cell_angle_alpha   70.959
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   455.123
_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
  La  La0  1  0.750  0.552  0.803  1.0
  La  La1  1  0.250  0.448  0.197  1.0
  Lu  Lu2  1  0.750  0.178  1.000  1.0
  Lu  Lu3  1  0.250  0.822  0.000  1.0
  Lu  Lu4  1  0.750  0.947  0.666  1.0
  Lu  Lu5  1  0.250  0.053  0.334  1.0
  Lu  Lu6  1  0.750  0.662  0.411  1.0
  Lu  Lu7  1  0.250  0.338  0.589  1.0
  S  S8  1  0.750  0.978  0.889  1.0
  S  S9  1  0.250  0.022  0.111  1.0
  S  S10  1  0.750  0.299  0.749  1.0
  S  S11  1  0.250  0.701  0.251  1.0
  S  S12  1  0.750  0.892  0.444  1.0
  S  S13  1  0.250  0.108  0.556  1.0
  S  S14  1  0.750  0.418  0.411  1.0
  S  S15  1  0.250  0.582  0.589  1.0
  S  S16  1  0.750  0.226  0.231  1.0
  S  S17  1  0.250  0.774  0.769  1.0
  S  S18  1  0.750  0.624  0.036  1.0
  S  S19  1  0.250  0.376  0.964  1.0
[/CIF]
.