The crystal structure described by K4MgMo2(SO3)2 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 4-coordinate geometry to one S(1), one S(2), one O(1), and one O(3) atom. In the second K site, K(2) is bonded to one S(2), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form distorted KSO5 pentagonal pyramids that share  a cornercorner with one Mg(1)SO3 tetrahedra, corners with two equivalent Mo(1)SO3 tetrahedra, corners with two equivalent Mo(2)SO3 tetrahedra,  an edgeedge with one Mg(1)SO3 tetrahedra, and  an edgeedge with one Mo(2)SO3 tetrahedra. In the third K site, K(3) is bonded in a 6-coordinate geometry to two equivalent S(2), one O(1), one O(2), one O(4), and one O(5) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to two equivalent S(1), one O(1), one O(2), one O(3), and one O(6) atom. Mg(1) is bonded to one S(1), one O(4), one O(5), and one O(6) atom to form distorted MgSO3 tetrahedra that share  a cornercorner with one K(2)SO5 pentagonal pyramid, corners with two equivalent Mo(2)SO3 tetrahedra,  an edgeedge with one K(2)SO5 pentagonal pyramid, and  an edgeedge with one Mo(1)SO3 tetrahedra. There are two inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one S(1), one O(1), one O(3), and one O(4) atom to form distorted MoSO3 tetrahedra that share corners with two equivalent K(2)SO5 pentagonal pyramids and  an edgeedge with one Mg(1)SO3 tetrahedra. In the second Mo site, Mo(2) is bonded to one S(2), one O(2), one O(5), and one O(6) atom to form distorted MoSO3 tetrahedra that share corners with two equivalent K(2)SO5 pentagonal pyramids, corners with two equivalent Mg(1)SO3 tetrahedra, and  an edgeedge with one K(2)SO5 pentagonal pyramid. There are two inequivalent S sites. In the first S site, S(1) is bonded to one K(1), two equivalent K(4), one Mg(1), and one Mo(1) atom to form distorted corner-sharing SK3MgMo square pyramids. In the second S site, S(2) is bonded in a 5-coordinate geometry to one K(1), one K(2), two equivalent K(3), and one Mo(2) atom. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one K(1), one K(3), one K(4), and one Mo(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one K(2), one K(3), one K(4), and one Mo(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one K(1), one K(2), one K(4), and one Mo(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one K(2), one K(3), one Mg(1), and one Mo(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one K(2), one K(3), one Mg(1), and one Mo(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one K(2), one K(4), one Mg(1), and one Mo(2) atom. is represented by the CIF card [CIF]
data_K4MgMo2(SO3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.182
_cell_length_b   7.090
_cell_length_c   8.138
_cell_angle_alpha   101.931
_cell_angle_beta   88.250
_cell_angle_gamma   107.005
_symmetry_Int_Tables_number   1
_cell_volume   333.546
_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  0.517  0.073  0.320  1.0
  K  K1  1  0.539  0.042  0.862  1.0
  K  K2  1  0.119  0.258  0.644  1.0
  K  K3  1  0.844  0.698  0.321  1.0
  Mg  Mg4  1  0.392  0.568  0.988  1.0
  Mo  Mo5  1  0.078  0.276  0.174  1.0
  Mo  Mo6  1  0.901  0.701  0.808  1.0
  S  S7  1  0.306  0.602  0.299  1.0
  S  S8  1  0.671  0.394  0.658  1.0
  O  O9  1  0.105  0.100  0.301  1.0
  O  O10  1  0.902  0.880  0.680  1.0
  O  O11  1  0.798  0.292  0.134  1.0
  O  O12  1  0.247  0.273  0.972  1.0
  O  O13  1  0.171  0.669  0.878  1.0
  O  O14  1  0.702  0.749  0.987  1.0
[/CIF]
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The crystal structure described by K4MgMo2(SO3)2 crystallizes in the triclinic P1 space group. There are four inequivalent K sites. In the first K site, K(1) is bonded in a 4-coordinate geometry to one S(1), one S(2), one O(1), and one O(3) atom. In the second K site, K(2) is bonded to one S(2), one O(2), one O(3), one O(4), one O(5), and one O(6) atom to form distorted KSO5 pentagonal pyramids that share  a cornercorner with one Mg(1)SO3 tetrahedra, corners with two equivalent Mo(1)SO3 tetrahedra, corners with two equivalent Mo(2)SO3 tetrahedra,  an edgeedge with one Mg(1)SO3 tetrahedra, and  an edgeedge with one Mo(2)SO3 tetrahedra. In the third K site, K(3) is bonded in a 6-coordinate geometry to two equivalent S(2), one O(1), one O(2), one O(4), and one O(5) atom. In the fourth K site, K(4) is bonded in a 6-coordinate geometry to two equivalent S(1), one O(1), one O(2), one O(3), and one O(6) atom. Mg(1) is bonded to one S(1), one O(4), one O(5), and one O(6) atom to form distorted MgSO3 tetrahedra that share  a cornercorner with one K(2)SO5 pentagonal pyramid, corners with two equivalent Mo(2)SO3 tetrahedra,  an edgeedge with one K(2)SO5 pentagonal pyramid, and  an edgeedge with one Mo(1)SO3 tetrahedra. There are two inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one S(1), one O(1), one O(3), and one O(4) atom to form distorted MoSO3 tetrahedra that share corners with two equivalent K(2)SO5 pentagonal pyramids and  an edgeedge with one Mg(1)SO3 tetrahedra. In the second Mo site, Mo(2) is bonded to one S(2), one O(2), one O(5), and one O(6) atom to form distorted MoSO3 tetrahedra that share corners with two equivalent K(2)SO5 pentagonal pyramids, corners with two equivalent Mg(1)SO3 tetrahedra, and  an edgeedge with one K(2)SO5 pentagonal pyramid. There are two inequivalent S sites. In the first S site, S(1) is bonded to one K(1), two equivalent K(4), one Mg(1), and one Mo(1) atom to form distorted corner-sharing SK3MgMo square pyramids. In the second S site, S(2) is bonded in a 5-coordinate geometry to one K(1), one K(2), two equivalent K(3), and one Mo(2) atom. There are six inequivalent O sites. In the first O site, O(1) is bonded in a distorted rectangular see-saw-like geometry to one K(1), one K(3), one K(4), and one Mo(1) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one K(2), one K(3), one K(4), and one Mo(2) atom. In the third O site, O(3) is bonded in a 4-coordinate geometry to one K(1), one K(2), one K(4), and one Mo(1) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to one K(2), one K(3), one Mg(1), and one Mo(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to one K(2), one K(3), one Mg(1), and one Mo(2) atom. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one K(2), one K(4), one Mg(1), and one Mo(2) atom. is represented by the CIF card [CIF]
data_K4MgMo2(SO3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.182
_cell_length_b   7.090
_cell_length_c   8.138
_cell_angle_alpha   101.931
_cell_angle_beta   88.250
_cell_angle_gamma   107.005
_symmetry_Int_Tables_number   1
_cell_volume   333.546
_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  0.517  0.073  0.320  1.0
  K  K1  1  0.539  0.042  0.862  1.0
  K  K2  1  0.119  0.258  0.644  1.0
  K  K3  1  0.844  0.698  0.321  1.0
  Mg  Mg4  1  0.392  0.568  0.988  1.0
  Mo  Mo5  1  0.078  0.276  0.174  1.0
  Mo  Mo6  1  0.901  0.701  0.808  1.0
  S  S7  1  0.306  0.602  0.299  1.0
  S  S8  1  0.671  0.394  0.658  1.0
  O  O9  1  0.105  0.100  0.301  1.0
  O  O10  1  0.902  0.880  0.680  1.0
  O  O11  1  0.798  0.292  0.134  1.0
  O  O12  1  0.247  0.273  0.972  1.0
  O  O13  1  0.171  0.669  0.878  1.0
  O  O14  1  0.702  0.749  0.987  1.0
[/CIF]
.