The structure described by Ba4Gd2Cd3S10 crystallizes in the orthorhombic Cmc2_1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 7-coordinate geometry to one S(4), two equivalent S(5), two equivalent S(6), and two equivalent S(8) atoms. In the second Ba site, Ba(2) is bonded in a 8-coordinate geometry to one S(1), one S(3), two equivalent S(5), two equivalent S(7), and two equivalent S(9) atoms. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one S(3), one S(9), two equivalent S(1), two equivalent S(10), and two equivalent S(7) atoms. In the fourth Ba site, Ba(4) is bonded to one S(8), two equivalent S(2), two equivalent S(4), and two equivalent S(6) atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent Gd(1)S6 octahedra, corners with two equivalent Cd(1)S4 tetrahedra, corners with two equivalent Cd(2)S4 trigonal pyramids, corners with three equivalent Cd(3)S4 trigonal pyramids,  an edgeedge with one Gd(1)S6 octahedra, edges with two equivalent Gd(2)S6 octahedra,  an edgeedge with one Cd(2)S4 trigonal pyramid, and faces with two equivalent Ba(4)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 20°. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one S(3), one S(5), two equivalent S(1), and two equivalent S(4) atoms to form GdS6 octahedra that share corners with two equivalent Ba(4)S7 pentagonal bipyramids, corners with three equivalent Cd(1)S4 tetrahedra, edges with two equivalent Gd(1)S6 octahedra, and  an edgeedge with one Ba(4)S7 pentagonal bipyramid. In the second Gd site, Gd(2) is bonded to one S(10), one S(2), two equivalent S(8), and two equivalent S(9) atoms to form GdS6 octahedra that share edges with two equivalent Gd(2)S6 octahedra, edges with two equivalent Ba(4)S7 pentagonal bipyramids, edges with two equivalent Cd(2)S4 trigonal pyramids, and edges with two equivalent Cd(3)S4 trigonal pyramids. There are three inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one S(5), one S(6), and two equivalent S(3) atoms to form CdS4 tetrahedra that share corners with three equivalent Gd(1)S6 octahedra, corners with two equivalent Ba(4)S7 pentagonal bipyramids, corners with two equivalent Cd(1)S4 tetrahedra, and  a cornercorner with one Cd(3)S4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 5-72°. In the second Cd site, Cd(2) is bonded to one S(7), one S(9), and two equivalent S(2) atoms to form CdS4 trigonal pyramids that share corners with two equivalent Ba(4)S7 pentagonal bipyramids, corners with two equivalent Cd(2)S4 trigonal pyramids, edges with two equivalent Gd(2)S6 octahedra, and  an edgeedge with one Ba(4)S7 pentagonal bipyramid. In the third Cd site, Cd(3) is bonded to one S(6), one S(8), and two equivalent S(10) atoms to form CdS4 trigonal pyramids that share corners with three equivalent Ba(4)S7 pentagonal bipyramids,  a cornercorner with one Cd(1)S4 tetrahedra, corners with two equivalent Cd(3)S4 trigonal pyramids, and edges with two equivalent Gd(2)S6 octahedra. There are ten inequivalent S sites. In the first S site, S(1) is bonded to one Ba(2), two equivalent Ba(3), and two equivalent Gd(1) atoms to form distorted SBa3Gd2 trigonal bipyramids that share corners with two equivalent S(10)Ba2GdCd2 square pyramids, corners with two equivalent S(4)Ba3Gd2 square pyramids, corners with four equivalent S(7)Ba4Cd square pyramids, edges with two equivalent S(9)Ba3Gd2Cd octahedra, edges with two equivalent S(5)Ba4GdCd octahedra,  an edgeedge with one S(10)Ba2GdCd2 square pyramid,  an edgeedge with one S(4)Ba3Gd2 square pyramid,  an edgeedge with one S(7)Ba4Cd square pyramid, and edges with two equivalent S(1)Ba3Gd2 trigonal bipyramids. In the second S site, S(2) is bonded to two equivalent Ba(4), one Gd(2), and two equivalent Cd(2) atoms to form SBa2GdCd2 square pyramids that share corners with two equivalent S(6)Ba4Cd2 octahedra,  a cornercorner with one S(10)Ba2GdCd2 square pyramid, corners with two equivalent S(4)Ba3Gd2 square pyramids, corners with two equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(6)Ba4Cd2 octahedra, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(9)Ba3Gd2Cd octahedra,  an edgeedge with one S(4)Ba3Gd2 square pyramid, and edges with two equivalent S(2)Ba2GdCd2 square pyramids. The corner-sharing octahedral tilt angles are 54°. In the third S site, S(3) is bonded in a distorted trigonal non-coplanar geometry to one Ba(2), one Ba(3), one Gd(1), and two equivalent Cd(1) atoms. In the fourth S site, S(4) is bonded to one Ba(1), two equivalent Ba(4), and two equivalent Gd(1) atoms to form SBa3Gd2 square pyramids that share corners with four equivalent S(6)Ba4Cd2 octahedra, corners with two equivalent S(2)Ba2GdCd2 square pyramids, corners with two equivalent S(1)Ba3Gd2 trigonal bipyramids,  an edgeedge with one S(6)Ba4Cd2 octahedra, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(5)Ba4GdCd octahedra,  an edgeedge with one S(2)Ba2GdCd2 square pyramid, edges with two equivalent S(4)Ba3Gd2 square pyramids, and  an edgeedge with one S(1)Ba3Gd2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 40-51°. In the fifth S site, S(5) is bonded to two equivalent Ba(1), two equivalent Ba(2), one Gd(1), and one Cd(1) atom to form SBa4GdCd octahedra that share corners with two equivalent S(8)Ba3Gd2Cd octahedra, corners with two equivalent S(9)Ba3Gd2Cd octahedra, corners with two equivalent S(6)Ba4Cd2 octahedra, corners with two equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(8)Ba3Gd2Cd octahedra,  an edgeedge with one S(9)Ba3Gd2Cd octahedra, edges with two equivalent S(5)Ba4GdCd octahedra,  an edgeedge with one S(7)Ba4Cd square pyramid, edges with two equivalent S(4)Ba3Gd2 square pyramids, edges with two equivalent S(1)Ba3Gd2 trigonal bipyramids, and  a faceface with one S(6)Ba4Cd2 octahedra. The corner-sharing octahedral tilt angles range from 21-54°. In the sixth S site, S(6) is bonded to two equivalent Ba(1), two equivalent Ba(4), one Cd(1), and one Cd(3) atom to form distorted SBa4Cd2 octahedra that share corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(8)Ba3Gd2Cd octahedra, corners with two equivalent S(10)Ba2GdCd2 square pyramids, corners with two equivalent S(2)Ba2GdCd2 square pyramids, corners with four equivalent S(4)Ba3Gd2 square pyramids, edges with two equivalent S(6)Ba4Cd2 octahedra,  an edgeedge with one S(2)Ba2GdCd2 square pyramid,  an edgeedge with one S(4)Ba3Gd2 square pyramid,  a faceface with one S(8)Ba3Gd2Cd octahedra, and  a faceface with one S(5)Ba4GdCd octahedra. The corner-sharing octahedral tilt angles range from 41-59°. In the seventh S site, S(7) is bonded to two equivalent Ba(2), two equivalent Ba(3), and one Cd(2) atom to form SBa4Cd square pyramids that share corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(9)Ba3Gd2Cd octahedra, corners with two equivalent S(10)Ba2GdCd2 square pyramids, corners with two equivalent S(2)Ba2GdCd2 square pyramids, corners with four equivalent S(1)Ba3Gd2 trigonal bipyramids,  an edgeedge with one S(5)Ba4GdCd octahedra,  an edgeedge with one S(10)Ba2GdCd2 square pyramid, edges with two equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(1)Ba3Gd2 trigonal bipyramid, and  a faceface with one S(9)Ba3Gd2Cd octahedra. The corner-sharing octahedral tilt angles range from 40-65°. In the eighth S site, S(8) is bonded to one Ba(4), two equivalent Ba(1), two equivalent Gd(2), and one Cd(3) atom to form SBa3Gd2Cd octahedra that share corners with two equivalent S(9)Ba3Gd2Cd octahedra, corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(6)Ba4Cd2 octahedra,  an edgeedge with one S(9)Ba3Gd2Cd octahedra,  an edgeedge with one S(5)Ba4GdCd octahedra, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(10)Ba2GdCd2 square pyramids, edges with two equivalent S(2)Ba2GdCd2 square pyramids, edges with two equivalent S(4)Ba3Gd2 square pyramids, and  a faceface with one S(6)Ba4Cd2 octahedra. The corner-sharing octahedral tilt angles range from 2-59°. In the ninth S site, S(9) is bonded to one Ba(3), two equivalent Ba(2), two equivalent Gd(2), and one Cd(2) atom to form distorted SBa3Gd2Cd octahedra that share corners with two equivalent S(8)Ba3Gd2Cd octahedra, corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(8)Ba3Gd2Cd octahedra,  an edgeedge with one S(5)Ba4GdCd octahedra, edges with two equivalent S(9)Ba3Gd2Cd octahedra, edges with two equivalent S(10)Ba2GdCd2 square pyramids, edges with two equivalent S(2)Ba2GdCd2 square pyramids, edges with two equivalent S(1)Ba3Gd2 trigonal bipyramids, and  a faceface with one S(7)Ba4Cd square pyramid. The corner-sharing octahedral tilt angles range from 2-31°. In the tenth S site, S(10) is bonded to two equivalent Ba(3), one Gd(2), and two equivalent Cd(3) atoms to form distorted SBa2GdCd2 square pyramids that share corners with two equivalent S(6)Ba4Cd2 octahedra,  a cornercorner with one S(2)Ba2GdCd2 square pyramid, corners with two equivalent S(7)Ba4Cd square pyramids, corners with two equivalent S(1)Ba3Gd2 trigonal bipyramids, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(9)Ba3Gd2Cd octahedra,  an edgeedge with one S(7)Ba4Cd square pyramid, edges with two equivalent S(10)Ba2GdCd2 square pyramids, and  an edgeedge with one S(1)Ba3Gd2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba4Gd2Cd3S10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.340
_cell_length_b   9.340
_cell_length_c   27.030
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   153.967
_symmetry_Int_Tables_number   1
_cell_volume   1034.828
_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
  Ba  Ba0  1  0.576  0.424  0.157  1.0
  Ba  Ba1  1  0.424  0.576  0.657  1.0
  Ba  Ba2  1  0.597  0.403  0.339  1.0
  Ba  Ba3  1  0.160  0.840  0.891  1.0
  Ba  Ba4  1  0.840  0.160  0.391  1.0
  Ba  Ba5  1  0.838  0.162  0.111  1.0
  Ba  Ba6  1  0.403  0.597  0.839  1.0
  Ba  Ba7  1  0.162  0.838  0.611  1.0
  Gd  Gd8  1  0.921  0.079  0.254  1.0
  Gd  Gd9  1  0.079  0.921  0.754  1.0
  Gd  Gd10  1  0.504  0.496  0.500  1.0
  Gd  Gd11  1  0.496  0.504  0.000  1.0
  Cd  Cd12  1  0.219  0.781  0.231  1.0
  Cd  Cd13  1  0.781  0.219  0.731  1.0
  Cd  Cd14  1  0.839  0.161  0.962  1.0
  Cd  Cd15  1  0.161  0.839  0.462  1.0
  Cd  Cd16  1  0.844  0.156  0.544  1.0
  Cd  Cd17  1  0.156  0.844  0.044  1.0
  S  S18  1  0.424  0.576  0.321  1.0
  S  S19  1  0.344  0.656  0.018  1.0
  S  S20  1  0.232  0.768  0.768  1.0
  S  S21  1  0.590  0.410  0.684  1.0
  S  S22  1  0.926  0.074  0.747  1.0
  S  S23  1  0.208  0.792  0.131  1.0
  S  S24  1  0.656  0.344  0.518  1.0
  S  S25  1  0.787  0.213  0.878  1.0
  S  S26  1  0.988  0.012  0.571  1.0
  S  S27  1  0.983  0.017  0.933  1.0
  S  S28  1  0.349  0.651  0.490  1.0
  S  S29  1  0.768  0.232  0.268  1.0
  S  S30  1  0.074  0.926  0.247  1.0
  S  S31  1  0.213  0.787  0.378  1.0
  S  S32  1  0.012  0.988  0.071  1.0
  S  S33  1  0.017  0.983  0.433  1.0
  S  S34  1  0.651  0.349  0.990  1.0
  S  S35  1  0.576  0.424  0.821  1.0
  S  S36  1  0.410  0.590  0.184  1.0
  S  S37  1  0.792  0.208  0.631  1.0
[/CIF]
.
The structure described by Ba4Gd2Cd3S10 crystallizes in the orthorhombic Cmc2_1 space group. There are four inequivalent Ba sites. In the first Ba site, Ba(1) is bonded in a 7-coordinate geometry to one S(4), two equivalent S(5), two equivalent S(6), and two equivalent S(8) atoms. In the second Ba site, Ba(2) is bonded in a 8-coordinate geometry to one S(1), one S(3), two equivalent S(5), two equivalent S(7), and two equivalent S(9) atoms. In the third Ba site, Ba(3) is bonded in a 8-coordinate geometry to one S(3), one S(9), two equivalent S(1), two equivalent S(10), and two equivalent S(7) atoms. In the fourth Ba site, Ba(4) is bonded to one S(8), two equivalent S(2), two equivalent S(4), and two equivalent S(6) atoms to form distorted BaS7 pentagonal bipyramids that share corners with two equivalent Gd(1)S6 octahedra, corners with two equivalent Cd(1)S4 tetrahedra, corners with two equivalent Cd(2)S4 trigonal pyramids, corners with three equivalent Cd(3)S4 trigonal pyramids,  an edgeedge with one Gd(1)S6 octahedra, edges with two equivalent Gd(2)S6 octahedra,  an edgeedge with one Cd(2)S4 trigonal pyramid, and faces with two equivalent Ba(4)S7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 20°. There are two inequivalent Gd sites. In the first Gd site, Gd(1) is bonded to one S(3), one S(5), two equivalent S(1), and two equivalent S(4) atoms to form GdS6 octahedra that share corners with two equivalent Ba(4)S7 pentagonal bipyramids, corners with three equivalent Cd(1)S4 tetrahedra, edges with two equivalent Gd(1)S6 octahedra, and  an edgeedge with one Ba(4)S7 pentagonal bipyramid. In the second Gd site, Gd(2) is bonded to one S(10), one S(2), two equivalent S(8), and two equivalent S(9) atoms to form GdS6 octahedra that share edges with two equivalent Gd(2)S6 octahedra, edges with two equivalent Ba(4)S7 pentagonal bipyramids, edges with two equivalent Cd(2)S4 trigonal pyramids, and edges with two equivalent Cd(3)S4 trigonal pyramids. There are three inequivalent Cd sites. In the first Cd site, Cd(1) is bonded to one S(5), one S(6), and two equivalent S(3) atoms to form CdS4 tetrahedra that share corners with three equivalent Gd(1)S6 octahedra, corners with two equivalent Ba(4)S7 pentagonal bipyramids, corners with two equivalent Cd(1)S4 tetrahedra, and  a cornercorner with one Cd(3)S4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 5-72°. In the second Cd site, Cd(2) is bonded to one S(7), one S(9), and two equivalent S(2) atoms to form CdS4 trigonal pyramids that share corners with two equivalent Ba(4)S7 pentagonal bipyramids, corners with two equivalent Cd(2)S4 trigonal pyramids, edges with two equivalent Gd(2)S6 octahedra, and  an edgeedge with one Ba(4)S7 pentagonal bipyramid. In the third Cd site, Cd(3) is bonded to one S(6), one S(8), and two equivalent S(10) atoms to form CdS4 trigonal pyramids that share corners with three equivalent Ba(4)S7 pentagonal bipyramids,  a cornercorner with one Cd(1)S4 tetrahedra, corners with two equivalent Cd(3)S4 trigonal pyramids, and edges with two equivalent Gd(2)S6 octahedra. There are ten inequivalent S sites. In the first S site, S(1) is bonded to one Ba(2), two equivalent Ba(3), and two equivalent Gd(1) atoms to form distorted SBa3Gd2 trigonal bipyramids that share corners with two equivalent S(10)Ba2GdCd2 square pyramids, corners with two equivalent S(4)Ba3Gd2 square pyramids, corners with four equivalent S(7)Ba4Cd square pyramids, edges with two equivalent S(9)Ba3Gd2Cd octahedra, edges with two equivalent S(5)Ba4GdCd octahedra,  an edgeedge with one S(10)Ba2GdCd2 square pyramid,  an edgeedge with one S(4)Ba3Gd2 square pyramid,  an edgeedge with one S(7)Ba4Cd square pyramid, and edges with two equivalent S(1)Ba3Gd2 trigonal bipyramids. In the second S site, S(2) is bonded to two equivalent Ba(4), one Gd(2), and two equivalent Cd(2) atoms to form SBa2GdCd2 square pyramids that share corners with two equivalent S(6)Ba4Cd2 octahedra,  a cornercorner with one S(10)Ba2GdCd2 square pyramid, corners with two equivalent S(4)Ba3Gd2 square pyramids, corners with two equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(6)Ba4Cd2 octahedra, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(9)Ba3Gd2Cd octahedra,  an edgeedge with one S(4)Ba3Gd2 square pyramid, and edges with two equivalent S(2)Ba2GdCd2 square pyramids. The corner-sharing octahedral tilt angles are 54°. In the third S site, S(3) is bonded in a distorted trigonal non-coplanar geometry to one Ba(2), one Ba(3), one Gd(1), and two equivalent Cd(1) atoms. In the fourth S site, S(4) is bonded to one Ba(1), two equivalent Ba(4), and two equivalent Gd(1) atoms to form SBa3Gd2 square pyramids that share corners with four equivalent S(6)Ba4Cd2 octahedra, corners with two equivalent S(2)Ba2GdCd2 square pyramids, corners with two equivalent S(1)Ba3Gd2 trigonal bipyramids,  an edgeedge with one S(6)Ba4Cd2 octahedra, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(5)Ba4GdCd octahedra,  an edgeedge with one S(2)Ba2GdCd2 square pyramid, edges with two equivalent S(4)Ba3Gd2 square pyramids, and  an edgeedge with one S(1)Ba3Gd2 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 40-51°. In the fifth S site, S(5) is bonded to two equivalent Ba(1), two equivalent Ba(2), one Gd(1), and one Cd(1) atom to form SBa4GdCd octahedra that share corners with two equivalent S(8)Ba3Gd2Cd octahedra, corners with two equivalent S(9)Ba3Gd2Cd octahedra, corners with two equivalent S(6)Ba4Cd2 octahedra, corners with two equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(8)Ba3Gd2Cd octahedra,  an edgeedge with one S(9)Ba3Gd2Cd octahedra, edges with two equivalent S(5)Ba4GdCd octahedra,  an edgeedge with one S(7)Ba4Cd square pyramid, edges with two equivalent S(4)Ba3Gd2 square pyramids, edges with two equivalent S(1)Ba3Gd2 trigonal bipyramids, and  a faceface with one S(6)Ba4Cd2 octahedra. The corner-sharing octahedral tilt angles range from 21-54°. In the sixth S site, S(6) is bonded to two equivalent Ba(1), two equivalent Ba(4), one Cd(1), and one Cd(3) atom to form distorted SBa4Cd2 octahedra that share corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(8)Ba3Gd2Cd octahedra, corners with two equivalent S(10)Ba2GdCd2 square pyramids, corners with two equivalent S(2)Ba2GdCd2 square pyramids, corners with four equivalent S(4)Ba3Gd2 square pyramids, edges with two equivalent S(6)Ba4Cd2 octahedra,  an edgeedge with one S(2)Ba2GdCd2 square pyramid,  an edgeedge with one S(4)Ba3Gd2 square pyramid,  a faceface with one S(8)Ba3Gd2Cd octahedra, and  a faceface with one S(5)Ba4GdCd octahedra. The corner-sharing octahedral tilt angles range from 41-59°. In the seventh S site, S(7) is bonded to two equivalent Ba(2), two equivalent Ba(3), and one Cd(2) atom to form SBa4Cd square pyramids that share corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(9)Ba3Gd2Cd octahedra, corners with two equivalent S(10)Ba2GdCd2 square pyramids, corners with two equivalent S(2)Ba2GdCd2 square pyramids, corners with four equivalent S(1)Ba3Gd2 trigonal bipyramids,  an edgeedge with one S(5)Ba4GdCd octahedra,  an edgeedge with one S(10)Ba2GdCd2 square pyramid, edges with two equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(1)Ba3Gd2 trigonal bipyramid, and  a faceface with one S(9)Ba3Gd2Cd octahedra. The corner-sharing octahedral tilt angles range from 40-65°. In the eighth S site, S(8) is bonded to one Ba(4), two equivalent Ba(1), two equivalent Gd(2), and one Cd(3) atom to form SBa3Gd2Cd octahedra that share corners with two equivalent S(9)Ba3Gd2Cd octahedra, corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(6)Ba4Cd2 octahedra,  an edgeedge with one S(9)Ba3Gd2Cd octahedra,  an edgeedge with one S(5)Ba4GdCd octahedra, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(10)Ba2GdCd2 square pyramids, edges with two equivalent S(2)Ba2GdCd2 square pyramids, edges with two equivalent S(4)Ba3Gd2 square pyramids, and  a faceface with one S(6)Ba4Cd2 octahedra. The corner-sharing octahedral tilt angles range from 2-59°. In the ninth S site, S(9) is bonded to one Ba(3), two equivalent Ba(2), two equivalent Gd(2), and one Cd(2) atom to form distorted SBa3Gd2Cd octahedra that share corners with two equivalent S(8)Ba3Gd2Cd octahedra, corners with two equivalent S(5)Ba4GdCd octahedra, corners with four equivalent S(7)Ba4Cd square pyramids,  an edgeedge with one S(8)Ba3Gd2Cd octahedra,  an edgeedge with one S(5)Ba4GdCd octahedra, edges with two equivalent S(9)Ba3Gd2Cd octahedra, edges with two equivalent S(10)Ba2GdCd2 square pyramids, edges with two equivalent S(2)Ba2GdCd2 square pyramids, edges with two equivalent S(1)Ba3Gd2 trigonal bipyramids, and  a faceface with one S(7)Ba4Cd square pyramid. The corner-sharing octahedral tilt angles range from 2-31°. In the tenth S site, S(10) is bonded to two equivalent Ba(3), one Gd(2), and two equivalent Cd(3) atoms to form distorted SBa2GdCd2 square pyramids that share corners with two equivalent S(6)Ba4Cd2 octahedra,  a cornercorner with one S(2)Ba2GdCd2 square pyramid, corners with two equivalent S(7)Ba4Cd square pyramids, corners with two equivalent S(1)Ba3Gd2 trigonal bipyramids, edges with two equivalent S(8)Ba3Gd2Cd octahedra, edges with two equivalent S(9)Ba3Gd2Cd octahedra,  an edgeedge with one S(7)Ba4Cd square pyramid, edges with two equivalent S(10)Ba2GdCd2 square pyramids, and  an edgeedge with one S(1)Ba3Gd2 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ba4Gd2Cd3S10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.340
_cell_length_b   9.340
_cell_length_c   27.030
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   153.967
_symmetry_Int_Tables_number   1
_cell_volume   1034.828
_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
  Ba  Ba0  1  0.576  0.424  0.157  1.0
  Ba  Ba1  1  0.424  0.576  0.657  1.0
  Ba  Ba2  1  0.597  0.403  0.339  1.0
  Ba  Ba3  1  0.160  0.840  0.891  1.0
  Ba  Ba4  1  0.840  0.160  0.391  1.0
  Ba  Ba5  1  0.838  0.162  0.111  1.0
  Ba  Ba6  1  0.403  0.597  0.839  1.0
  Ba  Ba7  1  0.162  0.838  0.611  1.0
  Gd  Gd8  1  0.921  0.079  0.254  1.0
  Gd  Gd9  1  0.079  0.921  0.754  1.0
  Gd  Gd10  1  0.504  0.496  0.500  1.0
  Gd  Gd11  1  0.496  0.504  0.000  1.0
  Cd  Cd12  1  0.219  0.781  0.231  1.0
  Cd  Cd13  1  0.781  0.219  0.731  1.0
  Cd  Cd14  1  0.839  0.161  0.962  1.0
  Cd  Cd15  1  0.161  0.839  0.462  1.0
  Cd  Cd16  1  0.844  0.156  0.544  1.0
  Cd  Cd17  1  0.156  0.844  0.044  1.0
  S  S18  1  0.424  0.576  0.321  1.0
  S  S19  1  0.344  0.656  0.018  1.0
  S  S20  1  0.232  0.768  0.768  1.0
  S  S21  1  0.590  0.410  0.684  1.0
  S  S22  1  0.926  0.074  0.747  1.0
  S  S23  1  0.208  0.792  0.131  1.0
  S  S24  1  0.656  0.344  0.518  1.0
  S  S25  1  0.787  0.213  0.878  1.0
  S  S26  1  0.988  0.012  0.571  1.0
  S  S27  1  0.983  0.017  0.933  1.0
  S  S28  1  0.349  0.651  0.490  1.0
  S  S29  1  0.768  0.232  0.268  1.0
  S  S30  1  0.074  0.926  0.247  1.0
  S  S31  1  0.213  0.787  0.378  1.0
  S  S32  1  0.012  0.988  0.071  1.0
  S  S33  1  0.017  0.983  0.433  1.0
  S  S34  1  0.651  0.349  0.990  1.0
  S  S35  1  0.576  0.424  0.821  1.0
  S  S36  1  0.410  0.590  0.184  1.0
  S  S37  1  0.792  0.208  0.631  1.0
[/CIF]
.