The compound described by K4Mo6Se2O33 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 O(11), one O(14), one O(24), one O(25), and one O(26) atom. In the second K site, K(2) is bonded in a distorted square co-planar geometry to one O(12), one O(13), one O(25), and one O(26) atom. In the third K site, K(3) is bonded in a 9-coordinate geometry to one O(1), one O(10), one O(17), one O(19), one O(2), one O(20), one O(21), one O(22), and one O(27) atom. In the fourth K site, K(4) is bonded in a 5-coordinate geometry to one O(18), one O(28), one O(3), one O(4), and one O(9) atom. There are six inequivalent Mo sites. In the first Mo site, Mo(1) is bonded in a 6-coordinate geometry to one O(13), one O(16), one O(3), one O(31), one O(5), and one O(7) atom. In the second Mo site, Mo(2) is bonded in a 6-coordinate geometry to one O(14), one O(16), one O(32), one O(4), one O(6), and one O(8) atom. In the third Mo site, Mo(3) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(15), one O(29), one O(5), and one O(7) atom. In the fourth Mo site, Mo(4) is bonded in a 6-coordinate geometry to one O(12), one O(15), one O(2), one O(30), one O(6), and one O(8) atom. In the fifth Mo site, Mo(5) is bonded in a 6-coordinate geometry to one O(16), one O(18), one O(26), one O(28), one O(7), and one O(8) atom. In the sixth Mo site, Mo(6) is bonded in a 6-coordinate geometry to one O(15), one O(17), one O(25), one O(27), one O(5), and one O(6) atom. There are two inequivalent Se sites. In the first Se site, Se(1) is bonded in a tetrahedral geometry to one O(10), one O(13), one O(14), and one O(18) atom. In the second Se site, Se(2) is bonded in a tetrahedral geometry to one O(11), one O(12), one O(17), and one O(9) atom. There are thirty-three inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one K(3) and one Mo(3) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one K(3) and one Mo(4) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(4) and one Mo(1) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one K(4) and one Mo(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(3), and one Mo(6) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mo(2), one Mo(4), and one Mo(6) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(3), and one Mo(5) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mo(2), one Mo(4), and one Mo(5) atom. In the ninth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one K(4) and one Se(2) atom. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one K(3) and one Se(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one K(1), one Mo(3), and one Se(2) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one K(2), one Mo(4), and one Se(2) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one K(2), one Mo(1), and one Se(1) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one K(1), one Mo(2), and one Se(1) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mo(3), one Mo(4), and one Mo(6) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(2), and one Mo(5) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one K(3), one Mo(6), and one Se(2) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one K(4), one Mo(5), and one Se(1) atom. In the nineteenth O site, O(19) is bonded in a bent 120 degrees geometry to one K(3), one O(22), and one O(23) atom. In the twentieth O site, O(20) is bonded in a distorted L-shaped geometry to one K(3) and one O(21) atom. In the twenty-first O site, O(21) is bonded in a distorted single-bond geometry to one K(3) and one O(20) atom. In the twenty-second O site, O(22) is bonded in a distorted single-bond geometry to one K(3) and one O(19) atom. In the twenty-third O site, O(23) is bonded in a single-bond geometry to one O(19) atom. In the twenty-fourth O site, O(24) is bonded in a distorted single-bond geometry to one K(1) and one O(33) atom. In the twenty-fifth O site, O(25) is bonded in a distorted trigonal planar geometry to one K(1), one K(2), and one Mo(6) atom. In the twenty-sixth O site, O(26) is bonded in a distorted trigonal planar geometry to one K(1), one K(2), and one Mo(5) atom. In the twenty-seventh O site, O(27) is bonded in a distorted bent 120 degrees geometry to one K(3) and one Mo(6) atom. In the twenty-eighth O site, O(28) is bonded in a distorted bent 120 degrees geometry to one K(4) and one Mo(5) atom. In the twenty-ninth O site, O(29) is bonded in a single-bond geometry to one Mo(3) atom. In the thirtieth O site, O(30) is bonded in a single-bond geometry to one Mo(4) atom. In the thirty-first O site, O(31) is bonded in a single-bond geometry to one Mo(1) atom. In the thirty-second O site, O(32) is bonded in a single-bond geometry to one Mo(2) atom. In the thirty-third O site, O(33) is bonded in a single-bond geometry to one O(24) atom. is represented by the CIF file [CIF]
data_K4Mo6Se2O33
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.813
_cell_length_b   10.117
_cell_length_c   10.173
_cell_angle_alpha   66.194
_cell_angle_beta   76.272
_cell_angle_gamma   76.768
_symmetry_Int_Tables_number   1
_cell_volume   797.165
_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  0.504  0.710  0.288  1.0
  K  K1  1  0.495  0.290  0.712  1.0
  K  K2  1  0.935  0.873  0.858  1.0
  K  K3  1  0.066  0.122  0.143  1.0
  Mo  Mo4  1  0.324  0.437  0.097  1.0
  Mo  Mo5  1  0.325  0.097  0.440  1.0
  Mo  Mo6  1  0.676  0.564  0.903  1.0
  Mo  Mo7  1  0.675  0.904  0.560  1.0
  Mo  Mo8  1  0.639  0.297  0.295  1.0
  Mo  Mo9  1  0.362  0.703  0.706  1.0
  Se  Se10  1  0.577  0.104  0.104  1.0
  Se  Se11  1  0.423  0.897  0.896  1.0
  O  O12  1  0.847  0.608  0.919  1.0
  O  O13  1  0.846  0.925  0.600  1.0
  O  O14  1  0.153  0.394  0.082  1.0
  O  O15  1  0.154  0.075  0.402  1.0
  O  O16  1  0.411  0.551  0.894  1.0
  O  O17  1  0.412  0.894  0.553  1.0
  O  O18  1  0.590  0.449  0.106  1.0
  O  O19  1  0.588  0.107  0.447  1.0
  O  O20  1  0.326  0.994  0.995  1.0
  O  O21  1  0.674  0.006  0.006  1.0
  O  O22  1  0.537  0.747  0.993  1.0
  O  O23  1  0.538  0.996  0.747  1.0
  O  O24  1  0.463  0.254  0.007  1.0
  O  O25  1  0.461  0.005  0.254  1.0
  O  O26  1  0.616  0.722  0.721  1.0
  O  O27  1  0.384  0.279  0.279  1.0
  O  O28  1  0.289  0.841  0.842  1.0
  O  O29  1  0.711  0.159  0.159  1.0
  O  O30  1  0.997  0.223  0.777  1.0
  O  O31  1  0.971  0.776  0.190  1.0
  O  O32  1  0.898  0.676  0.213  1.0
  O  O33  1  0.916  0.229  0.684  1.0
  O  O34  1  0.072  0.328  0.745  1.0
  O  O35  1  0.115  0.692  0.407  1.0
  O  O36  1  0.443  0.598  0.598  1.0
  O  O37  1  0.558  0.403  0.402  1.0
  O  O38  1  0.162  0.715  0.716  1.0
  O  O39  1  0.840  0.285  0.284  1.0
  O  O40  1  0.742  0.425  0.836  1.0
  O  O41  1  0.742  0.836  0.423  1.0
  O  O42  1  0.260  0.576  0.163  1.0
  O  O43  1  0.260  0.165  0.578  1.0
  O  O44  1  0.093  0.565  0.473  1.0
[/CIF]
.
The compound described by K4Mo6Se2O33 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 O(11), one O(14), one O(24), one O(25), and one O(26) atom. In the second K site, K(2) is bonded in a distorted square co-planar geometry to one O(12), one O(13), one O(25), and one O(26) atom. In the third K site, K(3) is bonded in a 9-coordinate geometry to one O(1), one O(10), one O(17), one O(19), one O(2), one O(20), one O(21), one O(22), and one O(27) atom. In the fourth K site, K(4) is bonded in a 5-coordinate geometry to one O(18), one O(28), one O(3), one O(4), and one O(9) atom. There are six inequivalent Mo sites. In the first Mo site, Mo(1) is bonded in a 6-coordinate geometry to one O(13), one O(16), one O(3), one O(31), one O(5), and one O(7) atom. In the second Mo site, Mo(2) is bonded in a 6-coordinate geometry to one O(14), one O(16), one O(32), one O(4), one O(6), and one O(8) atom. In the third Mo site, Mo(3) is bonded in a 6-coordinate geometry to one O(1), one O(11), one O(15), one O(29), one O(5), and one O(7) atom. In the fourth Mo site, Mo(4) is bonded in a 6-coordinate geometry to one O(12), one O(15), one O(2), one O(30), one O(6), and one O(8) atom. In the fifth Mo site, Mo(5) is bonded in a 6-coordinate geometry to one O(16), one O(18), one O(26), one O(28), one O(7), and one O(8) atom. In the sixth Mo site, Mo(6) is bonded in a 6-coordinate geometry to one O(15), one O(17), one O(25), one O(27), one O(5), and one O(6) atom. There are two inequivalent Se sites. In the first Se site, Se(1) is bonded in a tetrahedral geometry to one O(10), one O(13), one O(14), and one O(18) atom. In the second Se site, Se(2) is bonded in a tetrahedral geometry to one O(11), one O(12), one O(17), and one O(9) atom. There are thirty-three inequivalent O sites. In the first O site, O(1) is bonded in a distorted bent 120 degrees geometry to one K(3) and one Mo(3) atom. In the second O site, O(2) is bonded in a distorted bent 120 degrees geometry to one K(3) and one Mo(4) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(4) and one Mo(1) atom. In the fourth O site, O(4) is bonded in a distorted bent 120 degrees geometry to one K(4) and one Mo(2) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(3), and one Mo(6) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mo(2), one Mo(4), and one Mo(6) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(3), and one Mo(5) atom. In the eighth O site, O(8) is bonded in a 3-coordinate geometry to one Mo(2), one Mo(4), and one Mo(5) atom. In the ninth O site, O(9) is bonded in a distorted bent 150 degrees geometry to one K(4) and one Se(2) atom. In the tenth O site, O(10) is bonded in a distorted bent 150 degrees geometry to one K(3) and one Se(1) atom. In the eleventh O site, O(11) is bonded in a distorted trigonal planar geometry to one K(1), one Mo(3), and one Se(2) atom. In the twelfth O site, O(12) is bonded in a distorted trigonal planar geometry to one K(2), one Mo(4), and one Se(2) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one K(2), one Mo(1), and one Se(1) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one K(1), one Mo(2), and one Se(1) atom. In the fifteenth O site, O(15) is bonded in a 3-coordinate geometry to one Mo(3), one Mo(4), and one Mo(6) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(2), and one Mo(5) atom. In the seventeenth O site, O(17) is bonded in a 3-coordinate geometry to one K(3), one Mo(6), and one Se(2) atom. In the eighteenth O site, O(18) is bonded in a 3-coordinate geometry to one K(4), one Mo(5), and one Se(1) atom. In the nineteenth O site, O(19) is bonded in a bent 120 degrees geometry to one K(3), one O(22), and one O(23) atom. In the twentieth O site, O(20) is bonded in a distorted L-shaped geometry to one K(3) and one O(21) atom. In the twenty-first O site, O(21) is bonded in a distorted single-bond geometry to one K(3) and one O(20) atom. In the twenty-second O site, O(22) is bonded in a distorted single-bond geometry to one K(3) and one O(19) atom. In the twenty-third O site, O(23) is bonded in a single-bond geometry to one O(19) atom. In the twenty-fourth O site, O(24) is bonded in a distorted single-bond geometry to one K(1) and one O(33) atom. In the twenty-fifth O site, O(25) is bonded in a distorted trigonal planar geometry to one K(1), one K(2), and one Mo(6) atom. In the twenty-sixth O site, O(26) is bonded in a distorted trigonal planar geometry to one K(1), one K(2), and one Mo(5) atom. In the twenty-seventh O site, O(27) is bonded in a distorted bent 120 degrees geometry to one K(3) and one Mo(6) atom. In the twenty-eighth O site, O(28) is bonded in a distorted bent 120 degrees geometry to one K(4) and one Mo(5) atom. In the twenty-ninth O site, O(29) is bonded in a single-bond geometry to one Mo(3) atom. In the thirtieth O site, O(30) is bonded in a single-bond geometry to one Mo(4) atom. In the thirty-first O site, O(31) is bonded in a single-bond geometry to one Mo(1) atom. In the thirty-second O site, O(32) is bonded in a single-bond geometry to one Mo(2) atom. In the thirty-third O site, O(33) is bonded in a single-bond geometry to one O(24) atom. is represented by the CIF file [CIF]
data_K4Mo6Se2O33
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.813
_cell_length_b   10.117
_cell_length_c   10.173
_cell_angle_alpha   66.194
_cell_angle_beta   76.272
_cell_angle_gamma   76.768
_symmetry_Int_Tables_number   1
_cell_volume   797.165
_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  0.504  0.710  0.288  1.0
  K  K1  1  0.495  0.290  0.712  1.0
  K  K2  1  0.935  0.873  0.858  1.0
  K  K3  1  0.066  0.122  0.143  1.0
  Mo  Mo4  1  0.324  0.437  0.097  1.0
  Mo  Mo5  1  0.325  0.097  0.440  1.0
  Mo  Mo6  1  0.676  0.564  0.903  1.0
  Mo  Mo7  1  0.675  0.904  0.560  1.0
  Mo  Mo8  1  0.639  0.297  0.295  1.0
  Mo  Mo9  1  0.362  0.703  0.706  1.0
  Se  Se10  1  0.577  0.104  0.104  1.0
  Se  Se11  1  0.423  0.897  0.896  1.0
  O  O12  1  0.847  0.608  0.919  1.0
  O  O13  1  0.846  0.925  0.600  1.0
  O  O14  1  0.153  0.394  0.082  1.0
  O  O15  1  0.154  0.075  0.402  1.0
  O  O16  1  0.411  0.551  0.894  1.0
  O  O17  1  0.412  0.894  0.553  1.0
  O  O18  1  0.590  0.449  0.106  1.0
  O  O19  1  0.588  0.107  0.447  1.0
  O  O20  1  0.326  0.994  0.995  1.0
  O  O21  1  0.674  0.006  0.006  1.0
  O  O22  1  0.537  0.747  0.993  1.0
  O  O23  1  0.538  0.996  0.747  1.0
  O  O24  1  0.463  0.254  0.007  1.0
  O  O25  1  0.461  0.005  0.254  1.0
  O  O26  1  0.616  0.722  0.721  1.0
  O  O27  1  0.384  0.279  0.279  1.0
  O  O28  1  0.289  0.841  0.842  1.0
  O  O29  1  0.711  0.159  0.159  1.0
  O  O30  1  0.997  0.223  0.777  1.0
  O  O31  1  0.971  0.776  0.190  1.0
  O  O32  1  0.898  0.676  0.213  1.0
  O  O33  1  0.916  0.229  0.684  1.0
  O  O34  1  0.072  0.328  0.745  1.0
  O  O35  1  0.115  0.692  0.407  1.0
  O  O36  1  0.443  0.598  0.598  1.0
  O  O37  1  0.558  0.403  0.402  1.0
  O  O38  1  0.162  0.715  0.716  1.0
  O  O39  1  0.840  0.285  0.284  1.0
  O  O40  1  0.742  0.425  0.836  1.0
  O  O41  1  0.742  0.836  0.423  1.0
  O  O42  1  0.260  0.576  0.163  1.0
  O  O43  1  0.260  0.165  0.578  1.0
  O  O44  1  0.093  0.565  0.473  1.0
[/CIF]
.