The crystal structure described by Li4C4Bi2SO16 crystallizes in the orthorhombic Fddd space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form distorted LiO6 octahedra that share edges with two equivalent Bi(1)O6 octahedra and  an edgeedge with one S(1)O4 tetrahedra. In the second Li site, Li(2) is bonded in a 4-coordinate geometry to two equivalent O(2) and two equivalent O(3) atoms. C(1) is bonded in a trigonal planar geometry to one O(1), one O(3), and one O(4) atom. Bi(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form BiO6 octahedra that share edges with two equivalent Li(1)O6 octahedra. S(1) is bonded to four equivalent O(2) atoms to form SO4 tetrahedra that share edges with two equivalent Li(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Li(1), one C(1), and one Bi(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Li(1), one Li(2), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Li(2), one C(1), and one Bi(1) atom. In the fourth O site, O(4) is bonded in a 1-coordinate geometry to one Li(1), one C(1), and one Bi(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Bi2C4SO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.296
_cell_length_b   10.054
_cell_length_c   9.593
_cell_angle_alpha   63.157
_cell_angle_beta   60.608
_cell_angle_gamma   56.235
_symmetry_Int_Tables_number   1
_cell_volume   696.966
_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
  Li  Li0  1  0.940  0.560  0.940  1.0
  Li  Li1  1  0.948  0.552  0.552  1.0
  Li  Li2  1  0.698  0.302  0.302  1.0
  Li  Li3  1  0.690  0.310  0.690  1.0
  Li  Li4  1  0.560  0.940  0.560  1.0
  Li  Li5  1  0.552  0.948  0.948  1.0
  Li  Li6  1  0.302  0.698  0.698  1.0
  Li  Li7  1  0.310  0.690  0.310  1.0
  Bi  Bi8  1  0.125  0.625  0.125  1.0
  Bi  Bi9  1  0.625  0.125  0.125  1.0
  Bi  Bi10  1  0.125  0.125  0.125  1.0
  Bi  Bi11  1  0.125  0.125  0.625  1.0
  C  C12  1  0.875  0.306  0.917  1.0
  C  C13  1  0.944  0.375  0.348  1.0
  C  C14  1  0.917  0.902  0.875  1.0
  C  C15  1  0.902  0.917  0.306  1.0
  C  C16  1  0.348  0.333  0.944  1.0
  C  C17  1  0.333  0.348  0.375  1.0
  C  C18  1  0.306  0.875  0.902  1.0
  C  C19  1  0.375  0.944  0.333  1.0
  S  S20  1  0.500  0.500  0.500  1.0
  S  S21  1  0.750  0.750  0.750  1.0
  O  O22  1  0.999  0.313  0.915  1.0
  O  O23  1  0.557  0.550  0.315  1.0
  O  O24  1  0.756  0.293  0.053  1.0
  O  O25  1  0.957  0.494  0.353  1.0
  O  O26  1  0.053  0.897  0.756  1.0
  O  O27  1  0.943  0.375  0.212  1.0
  O  O28  1  0.315  0.577  0.557  1.0
  O  O29  1  0.550  0.557  0.577  1.0
  O  O30  1  0.470  0.212  0.375  1.0
  O  O31  1  0.897  0.053  0.293  1.0
  O  O32  1  0.937  0.251  0.476  1.0
  O  O33  1  0.577  0.315  0.550  1.0
  O  O34  1  0.915  0.774  0.999  1.0
  O  O35  1  0.774  0.915  0.313  1.0
  O  O36  1  0.875  0.307  0.780  1.0
  O  O37  1  0.212  0.470  0.943  1.0
  O  O38  1  0.038  0.780  0.307  1.0
  O  O39  1  0.375  0.943  0.470  1.0
  O  O40  1  0.476  0.335  0.937  1.0
  O  O41  1  0.335  0.476  0.251  1.0
  O  O42  1  0.673  0.935  0.700  1.0
  O  O43  1  0.313  0.999  0.774  1.0
  O  O44  1  0.353  0.197  0.957  1.0
  O  O45  1  0.780  0.038  0.875  1.0
  O  O46  1  0.700  0.693  0.673  1.0
  O  O47  1  0.935  0.673  0.693  1.0
  O  O48  1  0.307  0.875  0.038  1.0
  O  O49  1  0.197  0.353  0.494  1.0
  O  O50  1  0.293  0.756  0.897  1.0
  O  O51  1  0.494  0.957  0.197  1.0
  O  O52  1  0.693  0.700  0.935  1.0
  O  O53  1  0.251  0.937  0.335  1.0
[/CIF]
.
The crystal structure described by Li4C4Bi2SO16 crystallizes in the orthorhombic Fddd space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form distorted LiO6 octahedra that share edges with two equivalent Bi(1)O6 octahedra and  an edgeedge with one S(1)O4 tetrahedra. In the second Li site, Li(2) is bonded in a 4-coordinate geometry to two equivalent O(2) and two equivalent O(3) atoms. C(1) is bonded in a trigonal planar geometry to one O(1), one O(3), and one O(4) atom. Bi(1) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form BiO6 octahedra that share edges with two equivalent Li(1)O6 octahedra. S(1) is bonded to four equivalent O(2) atoms to form SO4 tetrahedra that share edges with two equivalent Li(1)O6 octahedra. There are four inequivalent O sites. In the first O site, O(1) is bonded in a distorted trigonal non-coplanar geometry to one Li(1), one C(1), and one Bi(1) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Li(1), one Li(2), and one S(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Li(2), one C(1), and one Bi(1) atom. In the fourth O site, O(4) is bonded in a 1-coordinate geometry to one Li(1), one C(1), and one Bi(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Bi2C4SO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.296
_cell_length_b   10.054
_cell_length_c   9.593
_cell_angle_alpha   63.157
_cell_angle_beta   60.608
_cell_angle_gamma   56.235
_symmetry_Int_Tables_number   1
_cell_volume   696.966
_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
  Li  Li0  1  0.940  0.560  0.940  1.0
  Li  Li1  1  0.948  0.552  0.552  1.0
  Li  Li2  1  0.698  0.302  0.302  1.0
  Li  Li3  1  0.690  0.310  0.690  1.0
  Li  Li4  1  0.560  0.940  0.560  1.0
  Li  Li5  1  0.552  0.948  0.948  1.0
  Li  Li6  1  0.302  0.698  0.698  1.0
  Li  Li7  1  0.310  0.690  0.310  1.0
  Bi  Bi8  1  0.125  0.625  0.125  1.0
  Bi  Bi9  1  0.625  0.125  0.125  1.0
  Bi  Bi10  1  0.125  0.125  0.125  1.0
  Bi  Bi11  1  0.125  0.125  0.625  1.0
  C  C12  1  0.875  0.306  0.917  1.0
  C  C13  1  0.944  0.375  0.348  1.0
  C  C14  1  0.917  0.902  0.875  1.0
  C  C15  1  0.902  0.917  0.306  1.0
  C  C16  1  0.348  0.333  0.944  1.0
  C  C17  1  0.333  0.348  0.375  1.0
  C  C18  1  0.306  0.875  0.902  1.0
  C  C19  1  0.375  0.944  0.333  1.0
  S  S20  1  0.500  0.500  0.500  1.0
  S  S21  1  0.750  0.750  0.750  1.0
  O  O22  1  0.999  0.313  0.915  1.0
  O  O23  1  0.557  0.550  0.315  1.0
  O  O24  1  0.756  0.293  0.053  1.0
  O  O25  1  0.957  0.494  0.353  1.0
  O  O26  1  0.053  0.897  0.756  1.0
  O  O27  1  0.943  0.375  0.212  1.0
  O  O28  1  0.315  0.577  0.557  1.0
  O  O29  1  0.550  0.557  0.577  1.0
  O  O30  1  0.470  0.212  0.375  1.0
  O  O31  1  0.897  0.053  0.293  1.0
  O  O32  1  0.937  0.251  0.476  1.0
  O  O33  1  0.577  0.315  0.550  1.0
  O  O34  1  0.915  0.774  0.999  1.0
  O  O35  1  0.774  0.915  0.313  1.0
  O  O36  1  0.875  0.307  0.780  1.0
  O  O37  1  0.212  0.470  0.943  1.0
  O  O38  1  0.038  0.780  0.307  1.0
  O  O39  1  0.375  0.943  0.470  1.0
  O  O40  1  0.476  0.335  0.937  1.0
  O  O41  1  0.335  0.476  0.251  1.0
  O  O42  1  0.673  0.935  0.700  1.0
  O  O43  1  0.313  0.999  0.774  1.0
  O  O44  1  0.353  0.197  0.957  1.0
  O  O45  1  0.780  0.038  0.875  1.0
  O  O46  1  0.700  0.693  0.673  1.0
  O  O47  1  0.935  0.673  0.693  1.0
  O  O48  1  0.307  0.875  0.038  1.0
  O  O49  1  0.197  0.353  0.494  1.0
  O  O50  1  0.293  0.756  0.897  1.0
  O  O51  1  0.494  0.957  0.197  1.0
  O  O52  1  0.693  0.700  0.935  1.0
  O  O53  1  0.251  0.937  0.335  1.0
[/CIF]
.