The material structure described by K6Rh2(C4O11)3 crystallizes in the triclinic P1 space group. There are six inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(16), one O(22), one O(26), one O(28), one O(3), one O(30), one O(6), and one O(7) atom. In the second K site, K(2) is bonded in a 8-coordinate geometry to one O(15), one O(21), one O(25), one O(27), one O(29), one O(4), one O(5), and one O(8) atom. In the third K site, K(3) is bonded to one O(1), one O(13), one O(18), one O(2), one O(25), and one O(27) atom to form distorted KO6 pentagonal pyramids that share  a cornercorner with one Rh(1)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the fourth K site, K(4) is bonded in a 7-coordinate geometry to one O(1), one O(14), one O(17), one O(2), one O(23), one O(26), and one O(28) atom. In the fifth K site, K(5) is bonded in a 8-coordinate geometry to one O(11), one O(16), one O(19), one O(22), one O(4), one O(6), one O(7), and one O(9) atom. In the sixth K site, K(6) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(15), one O(20), one O(21), one O(3), and one O(8) atom. There are two inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to one O(11), one O(13), one O(19), one O(31), one O(7), and one O(9) atom to form RhO6 octahedra that share  a cornercorner with one K(3)O6 pentagonal pyramid. In the second Rh site, Rh(2) is bonded in an octahedral geometry to one O(10), one O(12), one O(14), one O(20), one O(32), and one O(8) atom. There are twelve inequivalent C sites. In the first C site, C(1) is bonded in a distorted bent 120 degrees geometry to one O(17) and one O(31) atom. In the second C site, C(2) is bonded in a distorted bent 120 degrees geometry to one O(18) and one O(32) atom. In the third C site, C(3) is bonded in a distorted bent 120 degrees geometry to one O(1) and one O(11) atom. In the fourth C site, C(4) is bonded in a distorted bent 120 degrees geometry to one O(12) and one O(2) atom. In the fifth C site, C(5) is bonded in a distorted bent 120 degrees geometry to one O(19) and one O(5) atom. In the sixth C site, C(6) is bonded in a distorted bent 120 degrees geometry to one O(20) and one O(6) atom. In the seventh C site, C(7) is bonded in a distorted bent 120 degrees geometry to one O(13) and one O(21) atom. In the eighth C site, C(8) is bonded in a distorted bent 120 degrees geometry to one O(14) and one O(22) atom. In the ninth C site, C(9) is bonded in a distorted bent 120 degrees geometry to one O(15) and one O(9) atom. In the tenth C site, C(10) is bonded in a distorted bent 120 degrees geometry to one O(10) and one O(16) atom. In the eleventh C site, C(11) is bonded in a distorted bent 120 degrees geometry to one O(3) and one O(7) atom. In the twelfth C site, C(12) is bonded in a bent 120 degrees geometry to one O(4) and one O(8) atom. There are thirty-three inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one K(3), one K(4), and one C(3) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one K(3), one K(4), and one C(4) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(1), one K(6), and one C(11) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(2), one K(5), and one C(12) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(2) and one C(5) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(1), one K(5), and one C(6) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one K(5), one Rh(1), and one C(11) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one K(2), one K(6), one Rh(2), and one C(12) atom. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one K(5), one Rh(1), and one C(9) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one K(6), one Rh(2), and one C(10) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one K(5), one Rh(1), and one C(3) atom. In the twelfth O site, O(12) is bonded in a 2-coordinate geometry to one K(6), one Rh(2), and one C(4) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one K(3), one Rh(1), and one C(7) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one K(4), one Rh(2), and one C(8) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one K(2), one K(6), and one C(9) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one K(1), one K(5), and one C(10) atom. In the seventeenth O site, O(17) is bonded in a distorted single-bond geometry to one K(4) and one C(1) atom. In the eighteenth O site, O(18) is bonded in a distorted single-bond geometry to one K(3) and one C(2) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one K(5), one Rh(1), and one C(5) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one K(6), one Rh(2), and one C(6) atom. In the twenty-first O site, O(21) is bonded in a distorted single-bond geometry to one K(2), one K(6), and one C(7) atom. In the twenty-second O site, O(22) is bonded in a distorted single-bond geometry to one K(1), one K(5), and one C(8) atom. In the twenty-third O site, O(23) is bonded in a 2-coordinate geometry to one K(4) and one O(33) atom. In the twenty-fourth O site, O(24) is bonded in a bent 120 degrees geometry to one O(28) and one O(30) atom. In the twenty-fifth O site, O(25) is bonded in a water-like geometry to one K(2) and one K(3) atom. In the twenty-sixth O site, O(26) is bonded in an L-shaped geometry to one K(1) and one K(4) atom. In the twenty-seventh O site, O(27) is bonded in a distorted T-shaped geometry to one K(2), one K(3), and one O(29) atom. In the twenty-eighth O site, O(28) is bonded in a distorted T-shaped geometry to one K(1), one K(4), and one O(24) atom. In the twenty-ninth O site, O(29) is bonded in a distorted single-bond geometry to one K(2) and one O(27) atom. In the thirtieth O site, O(30) is bonded in a distorted L-shaped geometry to one K(1) and one O(24) atom. In the thirty-first O site, O(31) is bonded in a bent 120 degrees geometry to one Rh(1) and one C(1) atom. In the thirty-second O site, O(32) is bonded in a bent 120 degrees geometry to one Rh(2) and one C(2) atom. In the thirty-third O site, O(33) is bonded in a single-bond geometry to one O(23) atom. is represented by the CIF file [CIF]
data_K6Rh2(C4O11)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.893
_cell_length_b   10.392
_cell_length_c   12.581
_cell_angle_alpha   78.077
_cell_angle_beta   88.492
_cell_angle_gamma   86.650
_symmetry_Int_Tables_number   1
_cell_volume   880.105
_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  0.280  0.318  0.322  1.0
  K  K1  1  0.739  0.704  0.655  1.0
  K  K2  1  0.451  0.865  0.920  1.0
  K  K3  1  0.551  0.145  0.082  1.0
  K  K4  1  0.740  0.252  0.545  1.0
  K  K5  1  0.262  0.750  0.450  1.0
  Rh  Rh6  1  0.164  0.185  0.711  1.0
  Rh  Rh7  1  0.840  0.814  0.286  1.0
  C  C8  1  0.999  0.156  0.922  1.0
  C  C9  1  0.001  0.841  0.075  1.0
  C  C10  1  0.845  0.107  0.851  1.0
  C  C11  1  0.153  0.895  0.144  1.0
  C  C12  1  0.361  0.422  0.646  1.0
  C  C13  1  0.647  0.577  0.357  1.0
  C  C14  1  0.311  0.959  0.638  1.0
  C  C15  1  0.691  0.043  0.357  1.0
  C  C16  1  0.140  0.463  0.647  1.0
  C  C17  1  0.868  0.537  0.353  1.0
  C  C18  1  0.225  0.054  0.536  1.0
  C  C19  1  0.780  0.949  0.459  1.0
  O  O20  1  0.683  0.077  0.889  1.0
  O  O21  1  0.312  0.930  0.104  1.0
  O  O22  1  0.228  0.023  0.447  1.0
  O  O23  1  0.777  0.981  0.548  1.0
  O  O24  1  0.483  0.506  0.623  1.0
  O  O25  1  0.526  0.493  0.385  1.0
  O  O26  1  0.157  0.170  0.552  1.0
  O  O27  1  0.850  0.834  0.444  1.0
  O  O28  1  0.026  0.367  0.682  1.0
  O  O29  1  0.981  0.634  0.317  1.0
  O  O30  1  0.906  0.100  0.753  1.0
  O  O31  1  0.094  0.901  0.242  1.0
  O  O32  1  0.304  0.004  0.727  1.0
  O  O33  1  0.696  0.995  0.269  1.0
  O  O34  1  0.082  0.579  0.617  1.0
  O  O35  1  0.928  0.421  0.383  1.0
  O  O36  1  0.952  0.158  0.018  1.0
  O  O37  1  0.046  0.838  0.979  1.0
  O  O38  1  0.402  0.295  0.669  1.0
  O  O39  1  0.603  0.704  0.331  1.0
  O  O40  1  0.383  0.849  0.630  1.0
  O  O41  1  0.618  0.152  0.364  1.0
  O  O42  1  0.266  0.393  0.967  1.0
  O  O43  1  0.538  0.520  0.105  1.0
  O  O44  1  0.827  0.783  0.857  1.0
  O  O45  1  0.163  0.208  0.143  1.0
  O  O46  1  0.494  0.600  0.850  1.0
  O  O47  1  0.578  0.395  0.152  1.0
  O  O48  1  0.627  0.514  0.870  1.0
  O  O49  1  0.367  0.570  0.128  1.0
  O  O50  1  0.163  0.186  0.874  1.0
  O  O51  1  0.840  0.806  0.124  1.0
  O  O52  1  0.120  0.454  0.994  1.0
[/CIF]
.
The material structure described by K6Rh2(C4O11)3 crystallizes in the triclinic P1 space group. There are six inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(16), one O(22), one O(26), one O(28), one O(3), one O(30), one O(6), and one O(7) atom. In the second K site, K(2) is bonded in a 8-coordinate geometry to one O(15), one O(21), one O(25), one O(27), one O(29), one O(4), one O(5), and one O(8) atom. In the third K site, K(3) is bonded to one O(1), one O(13), one O(18), one O(2), one O(25), and one O(27) atom to form distorted KO6 pentagonal pyramids that share  a cornercorner with one Rh(1)O6 octahedra. The corner-sharing octahedral tilt angles are 57°. In the fourth K site, K(4) is bonded in a 7-coordinate geometry to one O(1), one O(14), one O(17), one O(2), one O(23), one O(26), and one O(28) atom. In the fifth K site, K(5) is bonded in a 8-coordinate geometry to one O(11), one O(16), one O(19), one O(22), one O(4), one O(6), one O(7), and one O(9) atom. In the sixth K site, K(6) is bonded in a 7-coordinate geometry to one O(10), one O(12), one O(15), one O(20), one O(21), one O(3), and one O(8) atom. There are two inequivalent Rh sites. In the first Rh site, Rh(1) is bonded to one O(11), one O(13), one O(19), one O(31), one O(7), and one O(9) atom to form RhO6 octahedra that share  a cornercorner with one K(3)O6 pentagonal pyramid. In the second Rh site, Rh(2) is bonded in an octahedral geometry to one O(10), one O(12), one O(14), one O(20), one O(32), and one O(8) atom. There are twelve inequivalent C sites. In the first C site, C(1) is bonded in a distorted bent 120 degrees geometry to one O(17) and one O(31) atom. In the second C site, C(2) is bonded in a distorted bent 120 degrees geometry to one O(18) and one O(32) atom. In the third C site, C(3) is bonded in a distorted bent 120 degrees geometry to one O(1) and one O(11) atom. In the fourth C site, C(4) is bonded in a distorted bent 120 degrees geometry to one O(12) and one O(2) atom. In the fifth C site, C(5) is bonded in a distorted bent 120 degrees geometry to one O(19) and one O(5) atom. In the sixth C site, C(6) is bonded in a distorted bent 120 degrees geometry to one O(20) and one O(6) atom. In the seventh C site, C(7) is bonded in a distorted bent 120 degrees geometry to one O(13) and one O(21) atom. In the eighth C site, C(8) is bonded in a distorted bent 120 degrees geometry to one O(14) and one O(22) atom. In the ninth C site, C(9) is bonded in a distorted bent 120 degrees geometry to one O(15) and one O(9) atom. In the tenth C site, C(10) is bonded in a distorted bent 120 degrees geometry to one O(10) and one O(16) atom. In the eleventh C site, C(11) is bonded in a distorted bent 120 degrees geometry to one O(3) and one O(7) atom. In the twelfth C site, C(12) is bonded in a bent 120 degrees geometry to one O(4) and one O(8) atom. There are thirty-three inequivalent O sites. In the first O site, O(1) is bonded in a distorted single-bond geometry to one K(3), one K(4), and one C(3) atom. In the second O site, O(2) is bonded in a distorted single-bond geometry to one K(3), one K(4), and one C(4) atom. In the third O site, O(3) is bonded in a distorted single-bond geometry to one K(1), one K(6), and one C(11) atom. In the fourth O site, O(4) is bonded in a distorted single-bond geometry to one K(2), one K(5), and one C(12) atom. In the fifth O site, O(5) is bonded in a distorted single-bond geometry to one K(2) and one C(5) atom. In the sixth O site, O(6) is bonded in a distorted single-bond geometry to one K(1), one K(5), and one C(6) atom. In the seventh O site, O(7) is bonded in a 2-coordinate geometry to one K(1), one K(5), one Rh(1), and one C(11) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one K(2), one K(6), one Rh(2), and one C(12) atom. In the ninth O site, O(9) is bonded in a 2-coordinate geometry to one K(5), one Rh(1), and one C(9) atom. In the tenth O site, O(10) is bonded in a 2-coordinate geometry to one K(6), one Rh(2), and one C(10) atom. In the eleventh O site, O(11) is bonded in a 3-coordinate geometry to one K(5), one Rh(1), and one C(3) atom. In the twelfth O site, O(12) is bonded in a 2-coordinate geometry to one K(6), one Rh(2), and one C(4) atom. In the thirteenth O site, O(13) is bonded in a distorted trigonal planar geometry to one K(3), one Rh(1), and one C(7) atom. In the fourteenth O site, O(14) is bonded in a distorted trigonal planar geometry to one K(4), one Rh(2), and one C(8) atom. In the fifteenth O site, O(15) is bonded in a distorted trigonal planar geometry to one K(2), one K(6), and one C(9) atom. In the sixteenth O site, O(16) is bonded in a distorted trigonal planar geometry to one K(1), one K(5), and one C(10) atom. In the seventeenth O site, O(17) is bonded in a distorted single-bond geometry to one K(4) and one C(1) atom. In the eighteenth O site, O(18) is bonded in a distorted single-bond geometry to one K(3) and one C(2) atom. In the nineteenth O site, O(19) is bonded in a 3-coordinate geometry to one K(5), one Rh(1), and one C(5) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one K(6), one Rh(2), and one C(6) atom. In the twenty-first O site, O(21) is bonded in a distorted single-bond geometry to one K(2), one K(6), and one C(7) atom. In the twenty-second O site, O(22) is bonded in a distorted single-bond geometry to one K(1), one K(5), and one C(8) atom. In the twenty-third O site, O(23) is bonded in a 2-coordinate geometry to one K(4) and one O(33) atom. In the twenty-fourth O site, O(24) is bonded in a bent 120 degrees geometry to one O(28) and one O(30) atom. In the twenty-fifth O site, O(25) is bonded in a water-like geometry to one K(2) and one K(3) atom. In the twenty-sixth O site, O(26) is bonded in an L-shaped geometry to one K(1) and one K(4) atom. In the twenty-seventh O site, O(27) is bonded in a distorted T-shaped geometry to one K(2), one K(3), and one O(29) atom. In the twenty-eighth O site, O(28) is bonded in a distorted T-shaped geometry to one K(1), one K(4), and one O(24) atom. In the twenty-ninth O site, O(29) is bonded in a distorted single-bond geometry to one K(2) and one O(27) atom. In the thirtieth O site, O(30) is bonded in a distorted L-shaped geometry to one K(1) and one O(24) atom. In the thirty-first O site, O(31) is bonded in a bent 120 degrees geometry to one Rh(1) and one C(1) atom. In the thirty-second O site, O(32) is bonded in a bent 120 degrees geometry to one Rh(2) and one C(2) atom. In the thirty-third O site, O(33) is bonded in a single-bond geometry to one O(23) atom. is represented by the CIF file [CIF]
data_K6Rh2(C4O11)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.893
_cell_length_b   10.392
_cell_length_c   12.581
_cell_angle_alpha   78.077
_cell_angle_beta   88.492
_cell_angle_gamma   86.650
_symmetry_Int_Tables_number   1
_cell_volume   880.105
_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  0.280  0.318  0.322  1.0
  K  K1  1  0.739  0.704  0.655  1.0
  K  K2  1  0.451  0.865  0.920  1.0
  K  K3  1  0.551  0.145  0.082  1.0
  K  K4  1  0.740  0.252  0.545  1.0
  K  K5  1  0.262  0.750  0.450  1.0
  Rh  Rh6  1  0.164  0.185  0.711  1.0
  Rh  Rh7  1  0.840  0.814  0.286  1.0
  C  C8  1  0.999  0.156  0.922  1.0
  C  C9  1  0.001  0.841  0.075  1.0
  C  C10  1  0.845  0.107  0.851  1.0
  C  C11  1  0.153  0.895  0.144  1.0
  C  C12  1  0.361  0.422  0.646  1.0
  C  C13  1  0.647  0.577  0.357  1.0
  C  C14  1  0.311  0.959  0.638  1.0
  C  C15  1  0.691  0.043  0.357  1.0
  C  C16  1  0.140  0.463  0.647  1.0
  C  C17  1  0.868  0.537  0.353  1.0
  C  C18  1  0.225  0.054  0.536  1.0
  C  C19  1  0.780  0.949  0.459  1.0
  O  O20  1  0.683  0.077  0.889  1.0
  O  O21  1  0.312  0.930  0.104  1.0
  O  O22  1  0.228  0.023  0.447  1.0
  O  O23  1  0.777  0.981  0.548  1.0
  O  O24  1  0.483  0.506  0.623  1.0
  O  O25  1  0.526  0.493  0.385  1.0
  O  O26  1  0.157  0.170  0.552  1.0
  O  O27  1  0.850  0.834  0.444  1.0
  O  O28  1  0.026  0.367  0.682  1.0
  O  O29  1  0.981  0.634  0.317  1.0
  O  O30  1  0.906  0.100  0.753  1.0
  O  O31  1  0.094  0.901  0.242  1.0
  O  O32  1  0.304  0.004  0.727  1.0
  O  O33  1  0.696  0.995  0.269  1.0
  O  O34  1  0.082  0.579  0.617  1.0
  O  O35  1  0.928  0.421  0.383  1.0
  O  O36  1  0.952  0.158  0.018  1.0
  O  O37  1  0.046  0.838  0.979  1.0
  O  O38  1  0.402  0.295  0.669  1.0
  O  O39  1  0.603  0.704  0.331  1.0
  O  O40  1  0.383  0.849  0.630  1.0
  O  O41  1  0.618  0.152  0.364  1.0
  O  O42  1  0.266  0.393  0.967  1.0
  O  O43  1  0.538  0.520  0.105  1.0
  O  O44  1  0.827  0.783  0.857  1.0
  O  O45  1  0.163  0.208  0.143  1.0
  O  O46  1  0.494  0.600  0.850  1.0
  O  O47  1  0.578  0.395  0.152  1.0
  O  O48  1  0.627  0.514  0.870  1.0
  O  O49  1  0.367  0.570  0.128  1.0
  O  O50  1  0.163  0.186  0.874  1.0
  O  O51  1  0.840  0.806  0.124  1.0
  O  O52  1  0.120  0.454  0.994  1.0
[/CIF]
.