The material described by MgLa2S4 is Aluminum carbonitride-like structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one S(2), one S(3), one S(5), and one S(6) atom to form MgS4 tetrahedra that share  a cornercorner with one Mg(2)S6 octahedra, corners with two equivalent La(2)S6 octahedra, corners with three equivalent La(1)S5 trigonal bipyramids, corners with three equivalent La(3)S5 trigonal bipyramids, and corners with three equivalent La(4)S5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 61-68°. In the second Mg site, Mg(2) is bonded to one S(2), one S(7), two equivalent S(1), and two equivalent S(8) atoms to form distorted MgS6 octahedra that share  a cornercorner with one Mg(1)S4 tetrahedra,  a cornercorner with one La(4)S5 trigonal bipyramid, corners with two equivalent La(1)S5 trigonal bipyramids, corners with two equivalent La(3)S5 trigonal bipyramids, edges with two equivalent Mg(2)S6 octahedra, and edges with four equivalent La(2)S6 octahedra. There are four inequivalent La sites. In the first La site, La(1) is bonded to one S(1), one S(3), one S(4), one S(5), and one S(6) atom to form distorted LaS5 trigonal bipyramids that share  a cornercorner with one La(2)S6 octahedra, corners with two equivalent Mg(2)S6 octahedra, corners with three equivalent Mg(1)S4 tetrahedra, corners with two equivalent La(3)S5 trigonal bipyramids, corners with two equivalent La(4)S5 trigonal bipyramids,  an edgeedge with one La(3)S5 trigonal bipyramid, and  an edgeedge with one La(4)S5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 62-65°. In the second La site, La(2) is bonded to one S(1), one S(8), two equivalent S(2), and two equivalent S(7) atoms to form distorted LaS6 octahedra that share corners with two equivalent Mg(1)S4 tetrahedra,  a cornercorner with one La(1)S5 trigonal bipyramid,  a cornercorner with one La(3)S5 trigonal bipyramid, corners with two equivalent La(4)S5 trigonal bipyramids, edges with two equivalent La(2)S6 octahedra, and edges with four equivalent Mg(2)S6 octahedra. In the third La site, La(3) is bonded to one S(3), one S(4), one S(8), and two equivalent S(6) atoms to form distorted LaS5 trigonal bipyramids that share  a cornercorner with one La(2)S6 octahedra, corners with two equivalent Mg(2)S6 octahedra, corners with three equivalent Mg(1)S4 tetrahedra, corners with two equivalent La(1)S5 trigonal bipyramids, corners with two equivalent La(4)S5 trigonal bipyramids,  an edgeedge with one La(1)S5 trigonal bipyramid, and  an edgeedge with one La(3)S5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 59-69°. In the fourth La site, La(4) is bonded to one S(3), one S(4), one S(7), and two equivalent S(5) atoms to form distorted LaS5 trigonal bipyramids that share  a cornercorner with one Mg(2)S6 octahedra, corners with two equivalent La(2)S6 octahedra, corners with three equivalent Mg(1)S4 tetrahedra, corners with two equivalent La(1)S5 trigonal bipyramids, corners with two equivalent La(3)S5 trigonal bipyramids,  an edgeedge with one La(1)S5 trigonal bipyramid, and  an edgeedge with one La(4)S5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 59-67°. There are eight inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Mg(2), one La(1), and one La(2) atom to form SLa2Mg2 tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra,  a cornercorner with one S(5)La3Mg tetrahedra,  a cornercorner with one S(6)La3Mg tetrahedra, corners with two equivalent S(2)La2Mg2 tetrahedra, corners with three equivalent S(8)La2Mg2 tetrahedra, corners with four equivalent S(7)La3Mg tetrahedra,  an edgeedge with one S(1)La2Mg2 tetrahedra,  an edgeedge with one S(2)La2Mg2 tetrahedra, and  an edgeedge with one S(8)La2Mg2 tetrahedra. In the second S site, S(2) is bonded to one Mg(1), one Mg(2), and two equivalent La(2) atoms to form SLa2Mg2 tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra,  a cornercorner with one S(5)La3Mg tetrahedra,  a cornercorner with one S(6)La3Mg tetrahedra, corners with two equivalent S(1)La2Mg2 tetrahedra, corners with three equivalent S(7)La3Mg tetrahedra, corners with four equivalent S(8)La2Mg2 tetrahedra,  an edgeedge with one S(1)La2Mg2 tetrahedra,  an edgeedge with one S(2)La2Mg2 tetrahedra, and  an edgeedge with one S(7)La3Mg tetrahedra. In the third S site, S(3) is bonded to one Mg(1), one La(1), one La(3), and one La(4) atom to form distorted SLa3Mg tetrahedra that share  a cornercorner with one S(1)La2Mg2 tetrahedra,  a cornercorner with one S(2)La2Mg2 tetrahedra,  a cornercorner with one S(8)La2Mg2 tetrahedra,  a cornercorner with one S(7)La3Mg tetrahedra, corners with two equivalent S(5)La3Mg tetrahedra, corners with two equivalent S(6)La3Mg tetrahedra,  an edgeedge with one S(5)La3Mg tetrahedra, and  an edgeedge with one S(6)La3Mg tetrahedra. In the fourth S site, S(4) is bonded in a trigonal non-coplanar geometry to one La(1), one La(3), and one La(4) atom. In the fifth S site, S(5) is bonded to one Mg(1), one La(1), and two equivalent La(4) atoms to form distorted SLa3Mg tetrahedra that share  a cornercorner with one S(1)La2Mg2 tetrahedra,  a cornercorner with one S(2)La2Mg2 tetrahedra, corners with two equivalent S(3)La3Mg tetrahedra, corners with two equivalent S(6)La3Mg tetrahedra, corners with two equivalent S(7)La3Mg tetrahedra,  an edgeedge with one S(3)La3Mg tetrahedra, and  an edgeedge with one S(5)La3Mg tetrahedra. In the sixth S site, S(6) is bonded to one Mg(1), one La(1), and two equivalent La(3) atoms to form SLa3Mg tetrahedra that share  a cornercorner with one S(1)La2Mg2 tetrahedra,  a cornercorner with one S(2)La2Mg2 tetrahedra, corners with two equivalent S(8)La2Mg2 tetrahedra, corners with two equivalent S(3)La3Mg tetrahedra, corners with two equivalent S(5)La3Mg tetrahedra,  an edgeedge with one S(3)La3Mg tetrahedra, and  an edgeedge with one S(6)La3Mg tetrahedra. In the seventh S site, S(7) is bonded to one Mg(2), one La(4), and two equivalent La(2) atoms to form SLa3Mg tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra, corners with two equivalent S(8)La2Mg2 tetrahedra, corners with two equivalent S(5)La3Mg tetrahedra, corners with three equivalent S(2)La2Mg2 tetrahedra, corners with four equivalent S(1)La2Mg2 tetrahedra,  an edgeedge with one S(2)La2Mg2 tetrahedra,  an edgeedge with one S(8)La2Mg2 tetrahedra, and  an edgeedge with one S(7)La3Mg tetrahedra. In the eighth S site, S(8) is bonded to two equivalent Mg(2), one La(2), and one La(3) atom to form SLa2Mg2 tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra, corners with two equivalent S(6)La3Mg tetrahedra, corners with two equivalent S(7)La3Mg tetrahedra, corners with three equivalent S(1)La2Mg2 tetrahedra, corners with four equivalent S(2)La2Mg2 tetrahedra,  an edgeedge with one S(1)La2Mg2 tetrahedra,  an edgeedge with one S(8)La2Mg2 tetrahedra, and  an edgeedge with one S(7)La3Mg tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_La2MgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.773
_cell_length_b   9.061
_cell_length_c   11.978
_cell_angle_alpha   78.883
_cell_angle_beta   82.984
_cell_angle_gamma   90.380
_symmetry_Int_Tables_number   1
_cell_volume   821.253
_cell_formula_units_Z   4
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  0.134  0.704  0.660  1.0
  La  La1  1  0.866  0.296  0.340  1.0
  La  La2  1  0.248  0.866  0.999  1.0
  La  La3  1  0.752  0.134  0.001  1.0
  La  La4  1  0.367  0.551  0.337  1.0
  La  La5  1  0.633  0.449  0.663  1.0
  La  La6  1  0.358  0.031  0.343  1.0
  La  La7  1  0.642  0.969  0.657  1.0
  Mg  Mg8  1  0.142  0.206  0.686  1.0
  Mg  Mg9  1  0.858  0.794  0.314  1.0
  Mg  Mg10  1  0.247  0.376  0.990  1.0
  Mg  Mg11  1  0.753  0.624  0.010  1.0
  S  S12  1  0.095  0.639  0.892  1.0
  S  S13  1  0.905  0.361  0.108  1.0
  S  S14  1  0.118  0.167  0.892  1.0
  S  S15  1  0.882  0.833  0.108  1.0
  S  S16  1  0.147  0.776  0.385  1.0
  S  S17  1  0.853  0.224  0.615  1.0
  S  S18  1  0.198  0.279  0.386  1.0
  S  S19  1  0.802  0.721  0.614  1.0
  S  S20  1  0.297  0.989  0.618  1.0
  S  S21  1  0.703  0.011  0.382  1.0
  S  S22  1  0.299  0.451  0.604  1.0
  S  S23  1  0.701  0.549  0.396  1.0
  S  S24  1  0.389  0.100  0.110  1.0
  S  S25  1  0.611  0.900  0.890  1.0
  S  S26  1  0.408  0.588  0.105  1.0
  S  S27  1  0.592  0.412  0.895  1.0
[/CIF]
.
The material described by MgLa2S4 is Aluminum carbonitride-like structured and crystallizes in the triclinic P-1 space group. There are two inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one S(2), one S(3), one S(5), and one S(6) atom to form MgS4 tetrahedra that share  a cornercorner with one Mg(2)S6 octahedra, corners with two equivalent La(2)S6 octahedra, corners with three equivalent La(1)S5 trigonal bipyramids, corners with three equivalent La(3)S5 trigonal bipyramids, and corners with three equivalent La(4)S5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 61-68°. In the second Mg site, Mg(2) is bonded to one S(2), one S(7), two equivalent S(1), and two equivalent S(8) atoms to form distorted MgS6 octahedra that share  a cornercorner with one Mg(1)S4 tetrahedra,  a cornercorner with one La(4)S5 trigonal bipyramid, corners with two equivalent La(1)S5 trigonal bipyramids, corners with two equivalent La(3)S5 trigonal bipyramids, edges with two equivalent Mg(2)S6 octahedra, and edges with four equivalent La(2)S6 octahedra. There are four inequivalent La sites. In the first La site, La(1) is bonded to one S(1), one S(3), one S(4), one S(5), and one S(6) atom to form distorted LaS5 trigonal bipyramids that share  a cornercorner with one La(2)S6 octahedra, corners with two equivalent Mg(2)S6 octahedra, corners with three equivalent Mg(1)S4 tetrahedra, corners with two equivalent La(3)S5 trigonal bipyramids, corners with two equivalent La(4)S5 trigonal bipyramids,  an edgeedge with one La(3)S5 trigonal bipyramid, and  an edgeedge with one La(4)S5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 62-65°. In the second La site, La(2) is bonded to one S(1), one S(8), two equivalent S(2), and two equivalent S(7) atoms to form distorted LaS6 octahedra that share corners with two equivalent Mg(1)S4 tetrahedra,  a cornercorner with one La(1)S5 trigonal bipyramid,  a cornercorner with one La(3)S5 trigonal bipyramid, corners with two equivalent La(4)S5 trigonal bipyramids, edges with two equivalent La(2)S6 octahedra, and edges with four equivalent Mg(2)S6 octahedra. In the third La site, La(3) is bonded to one S(3), one S(4), one S(8), and two equivalent S(6) atoms to form distorted LaS5 trigonal bipyramids that share  a cornercorner with one La(2)S6 octahedra, corners with two equivalent Mg(2)S6 octahedra, corners with three equivalent Mg(1)S4 tetrahedra, corners with two equivalent La(1)S5 trigonal bipyramids, corners with two equivalent La(4)S5 trigonal bipyramids,  an edgeedge with one La(1)S5 trigonal bipyramid, and  an edgeedge with one La(3)S5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 59-69°. In the fourth La site, La(4) is bonded to one S(3), one S(4), one S(7), and two equivalent S(5) atoms to form distorted LaS5 trigonal bipyramids that share  a cornercorner with one Mg(2)S6 octahedra, corners with two equivalent La(2)S6 octahedra, corners with three equivalent Mg(1)S4 tetrahedra, corners with two equivalent La(1)S5 trigonal bipyramids, corners with two equivalent La(3)S5 trigonal bipyramids,  an edgeedge with one La(1)S5 trigonal bipyramid, and  an edgeedge with one La(4)S5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 59-67°. There are eight inequivalent S sites. In the first S site, S(1) is bonded to two equivalent Mg(2), one La(1), and one La(2) atom to form SLa2Mg2 tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra,  a cornercorner with one S(5)La3Mg tetrahedra,  a cornercorner with one S(6)La3Mg tetrahedra, corners with two equivalent S(2)La2Mg2 tetrahedra, corners with three equivalent S(8)La2Mg2 tetrahedra, corners with four equivalent S(7)La3Mg tetrahedra,  an edgeedge with one S(1)La2Mg2 tetrahedra,  an edgeedge with one S(2)La2Mg2 tetrahedra, and  an edgeedge with one S(8)La2Mg2 tetrahedra. In the second S site, S(2) is bonded to one Mg(1), one Mg(2), and two equivalent La(2) atoms to form SLa2Mg2 tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra,  a cornercorner with one S(5)La3Mg tetrahedra,  a cornercorner with one S(6)La3Mg tetrahedra, corners with two equivalent S(1)La2Mg2 tetrahedra, corners with three equivalent S(7)La3Mg tetrahedra, corners with four equivalent S(8)La2Mg2 tetrahedra,  an edgeedge with one S(1)La2Mg2 tetrahedra,  an edgeedge with one S(2)La2Mg2 tetrahedra, and  an edgeedge with one S(7)La3Mg tetrahedra. In the third S site, S(3) is bonded to one Mg(1), one La(1), one La(3), and one La(4) atom to form distorted SLa3Mg tetrahedra that share  a cornercorner with one S(1)La2Mg2 tetrahedra,  a cornercorner with one S(2)La2Mg2 tetrahedra,  a cornercorner with one S(8)La2Mg2 tetrahedra,  a cornercorner with one S(7)La3Mg tetrahedra, corners with two equivalent S(5)La3Mg tetrahedra, corners with two equivalent S(6)La3Mg tetrahedra,  an edgeedge with one S(5)La3Mg tetrahedra, and  an edgeedge with one S(6)La3Mg tetrahedra. In the fourth S site, S(4) is bonded in a trigonal non-coplanar geometry to one La(1), one La(3), and one La(4) atom. In the fifth S site, S(5) is bonded to one Mg(1), one La(1), and two equivalent La(4) atoms to form distorted SLa3Mg tetrahedra that share  a cornercorner with one S(1)La2Mg2 tetrahedra,  a cornercorner with one S(2)La2Mg2 tetrahedra, corners with two equivalent S(3)La3Mg tetrahedra, corners with two equivalent S(6)La3Mg tetrahedra, corners with two equivalent S(7)La3Mg tetrahedra,  an edgeedge with one S(3)La3Mg tetrahedra, and  an edgeedge with one S(5)La3Mg tetrahedra. In the sixth S site, S(6) is bonded to one Mg(1), one La(1), and two equivalent La(3) atoms to form SLa3Mg tetrahedra that share  a cornercorner with one S(1)La2Mg2 tetrahedra,  a cornercorner with one S(2)La2Mg2 tetrahedra, corners with two equivalent S(8)La2Mg2 tetrahedra, corners with two equivalent S(3)La3Mg tetrahedra, corners with two equivalent S(5)La3Mg tetrahedra,  an edgeedge with one S(3)La3Mg tetrahedra, and  an edgeedge with one S(6)La3Mg tetrahedra. In the seventh S site, S(7) is bonded to one Mg(2), one La(4), and two equivalent La(2) atoms to form SLa3Mg tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra, corners with two equivalent S(8)La2Mg2 tetrahedra, corners with two equivalent S(5)La3Mg tetrahedra, corners with three equivalent S(2)La2Mg2 tetrahedra, corners with four equivalent S(1)La2Mg2 tetrahedra,  an edgeedge with one S(2)La2Mg2 tetrahedra,  an edgeedge with one S(8)La2Mg2 tetrahedra, and  an edgeedge with one S(7)La3Mg tetrahedra. In the eighth S site, S(8) is bonded to two equivalent Mg(2), one La(2), and one La(3) atom to form SLa2Mg2 tetrahedra that share  a cornercorner with one S(3)La3Mg tetrahedra, corners with two equivalent S(6)La3Mg tetrahedra, corners with two equivalent S(7)La3Mg tetrahedra, corners with three equivalent S(1)La2Mg2 tetrahedra, corners with four equivalent S(2)La2Mg2 tetrahedra,  an edgeedge with one S(1)La2Mg2 tetrahedra,  an edgeedge with one S(8)La2Mg2 tetrahedra, and  an edgeedge with one S(7)La3Mg tetrahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_La2MgS4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.773
_cell_length_b   9.061
_cell_length_c   11.978
_cell_angle_alpha   78.883
_cell_angle_beta   82.984
_cell_angle_gamma   90.380
_symmetry_Int_Tables_number   1
_cell_volume   821.253
_cell_formula_units_Z   4
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  0.134  0.704  0.660  1.0
  La  La1  1  0.866  0.296  0.340  1.0
  La  La2  1  0.248  0.866  0.999  1.0
  La  La3  1  0.752  0.134  0.001  1.0
  La  La4  1  0.367  0.551  0.337  1.0
  La  La5  1  0.633  0.449  0.663  1.0
  La  La6  1  0.358  0.031  0.343  1.0
  La  La7  1  0.642  0.969  0.657  1.0
  Mg  Mg8  1  0.142  0.206  0.686  1.0
  Mg  Mg9  1  0.858  0.794  0.314  1.0
  Mg  Mg10  1  0.247  0.376  0.990  1.0
  Mg  Mg11  1  0.753  0.624  0.010  1.0
  S  S12  1  0.095  0.639  0.892  1.0
  S  S13  1  0.905  0.361  0.108  1.0
  S  S14  1  0.118  0.167  0.892  1.0
  S  S15  1  0.882  0.833  0.108  1.0
  S  S16  1  0.147  0.776  0.385  1.0
  S  S17  1  0.853  0.224  0.615  1.0
  S  S18  1  0.198  0.279  0.386  1.0
  S  S19  1  0.802  0.721  0.614  1.0
  S  S20  1  0.297  0.989  0.618  1.0
  S  S21  1  0.703  0.011  0.382  1.0
  S  S22  1  0.299  0.451  0.604  1.0
  S  S23  1  0.701  0.549  0.396  1.0
  S  S24  1  0.389  0.100  0.110  1.0
  S  S25  1  0.611  0.900  0.890  1.0
  S  S26  1  0.408  0.588  0.105  1.0
  S  S27  1  0.592  0.412  0.895  1.0
[/CIF]
.