The material structure described by K4Mo4MnO15 crystallizes in the trigonal P-3 space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(4), two equivalent O(2), two equivalent O(5), and three equivalent O(1) atoms. In the second K site, K(2) is bonded to six equivalent O(2) atoms to form KO6 octahedra that share corners with six equivalent Mo(1)O4 tetrahedra and faces with two equivalent K(3)O12 cuboctahedra. In the third K site, K(3) is bonded to six equivalent O(2) and six equivalent O(4) atoms to form distorted KO12 cuboctahedra that share edges with six equivalent Mo(1)O4 tetrahedra and faces with two equivalent K(2)O6 octahedra. There are two inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(2), one O(3), one O(4), and one O(5) atom to form MoO4 tetrahedra that share  a cornercorner with one K(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one K(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 8-52°. In the second Mo site, Mo(2) is bonded in a 6-coordinate geometry to three equivalent O(1) and three equivalent O(3) atoms. Mn(1) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form MnO6 octahedra that share corners with six equivalent Mo(1)O4 tetrahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to three equivalent K(1) and one Mo(2) atom. In the second O site, O(2) is bonded in a 1-coordinate geometry to one K(2), one K(3), two equivalent K(1), and one Mo(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(2), and one Mn(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one K(3), and one Mo(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to two equivalent K(1), one Mo(1), and one Mn(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4MnMo4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.569
_cell_length_b   10.569
_cell_length_c   8.357
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   808.367
_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
  K  K0  1  0.912  0.607  0.140  1.0
  K  K1  1  0.393  0.305  0.140  1.0
  K  K2  1  0.088  0.393  0.860  1.0
  K  K3  1  0.607  0.695  0.860  1.0
  K  K4  1  0.000  0.000  0.000  1.0
  K  K5  1  0.305  0.912  0.860  1.0
  K  K6  1  0.695  0.088  0.140  1.0
  K  K7  1  0.000  0.000  0.500  1.0
  Mn  Mn8  1  0.667  0.333  0.467  1.0
  Mn  Mn9  1  0.333  0.667  0.533  1.0
  Mo  Mo10  1  0.017  0.342  0.360  1.0
  Mo  Mo11  1  0.675  0.017  0.640  1.0
  Mo  Mo12  1  0.333  0.667  0.142  1.0
  Mo  Mo13  1  0.658  0.675  0.360  1.0
  Mo  Mo14  1  0.667  0.333  0.858  1.0
  Mo  Mo15  1  0.342  0.325  0.640  1.0
  Mo  Mo16  1  0.325  0.983  0.360  1.0
  Mo  Mo17  1  0.983  0.658  0.640  1.0
  O  O18  1  0.480  0.822  0.050  1.0
  O  O19  1  0.218  0.211  0.791  1.0
  O  O20  1  0.520  0.178  0.950  1.0
  O  O21  1  0.666  0.186  0.662  1.0
  O  O22  1  0.186  0.521  0.338  1.0
  O  O23  1  0.275  0.258  0.446  1.0
  O  O24  1  0.494  0.857  0.660  1.0
  O  O25  1  0.782  0.789  0.209  1.0
  O  O26  1  0.506  0.143  0.340  1.0
  O  O27  1  0.814  0.479  0.662  1.0
  O  O28  1  0.983  0.725  0.446  1.0
  O  O29  1  0.479  0.666  0.338  1.0
  O  O30  1  0.857  0.363  0.340  1.0
  O  O31  1  0.657  0.480  0.950  1.0
  O  O32  1  0.343  0.520  0.050  1.0
  O  O33  1  0.178  0.657  0.050  1.0
  O  O34  1  0.363  0.506  0.660  1.0
  O  O35  1  0.637  0.494  0.340  1.0
  O  O36  1  0.017  0.275  0.554  1.0
  O  O37  1  0.211  0.993  0.209  1.0
  O  O38  1  0.143  0.637  0.660  1.0
  O  O39  1  0.258  0.983  0.554  1.0
  O  O40  1  0.007  0.218  0.209  1.0
  O  O41  1  0.789  0.007  0.791  1.0
  O  O42  1  0.822  0.343  0.950  1.0
  O  O43  1  0.521  0.334  0.662  1.0
  O  O44  1  0.742  0.017  0.446  1.0
  O  O45  1  0.725  0.742  0.554  1.0
  O  O46  1  0.334  0.814  0.338  1.0
  O  O47  1  0.993  0.782  0.791  1.0
[/CIF]
.
The material structure described by K4Mo4MnO15 crystallizes in the trigonal P-3 space group. There are three inequivalent K sites. In the first K site, K(1) is bonded in a 8-coordinate geometry to one O(4), two equivalent O(2), two equivalent O(5), and three equivalent O(1) atoms. In the second K site, K(2) is bonded to six equivalent O(2) atoms to form KO6 octahedra that share corners with six equivalent Mo(1)O4 tetrahedra and faces with two equivalent K(3)O12 cuboctahedra. In the third K site, K(3) is bonded to six equivalent O(2) and six equivalent O(4) atoms to form distorted KO12 cuboctahedra that share edges with six equivalent Mo(1)O4 tetrahedra and faces with two equivalent K(2)O6 octahedra. There are two inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(2), one O(3), one O(4), and one O(5) atom to form MoO4 tetrahedra that share  a cornercorner with one K(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one K(3)O12 cuboctahedra. The corner-sharing octahedral tilt angles range from 8-52°. In the second Mo site, Mo(2) is bonded in a 6-coordinate geometry to three equivalent O(1) and three equivalent O(3) atoms. Mn(1) is bonded to three equivalent O(3) and three equivalent O(5) atoms to form MnO6 octahedra that share corners with six equivalent Mo(1)O4 tetrahedra. There are five inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to three equivalent K(1) and one Mo(2) atom. In the second O site, O(2) is bonded in a 1-coordinate geometry to one K(2), one K(3), two equivalent K(1), and one Mo(1) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Mo(1), one Mo(2), and one Mn(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one K(1), one K(3), and one Mo(1) atom. In the fifth O site, O(5) is bonded in a 4-coordinate geometry to two equivalent K(1), one Mo(1), and one Mn(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_K4MnMo4O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.569
_cell_length_b   10.569
_cell_length_c   8.357
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   808.367
_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
  K  K0  1  0.912  0.607  0.140  1.0
  K  K1  1  0.393  0.305  0.140  1.0
  K  K2  1  0.088  0.393  0.860  1.0
  K  K3  1  0.607  0.695  0.860  1.0
  K  K4  1  0.000  0.000  0.000  1.0
  K  K5  1  0.305  0.912  0.860  1.0
  K  K6  1  0.695  0.088  0.140  1.0
  K  K7  1  0.000  0.000  0.500  1.0
  Mn  Mn8  1  0.667  0.333  0.467  1.0
  Mn  Mn9  1  0.333  0.667  0.533  1.0
  Mo  Mo10  1  0.017  0.342  0.360  1.0
  Mo  Mo11  1  0.675  0.017  0.640  1.0
  Mo  Mo12  1  0.333  0.667  0.142  1.0
  Mo  Mo13  1  0.658  0.675  0.360  1.0
  Mo  Mo14  1  0.667  0.333  0.858  1.0
  Mo  Mo15  1  0.342  0.325  0.640  1.0
  Mo  Mo16  1  0.325  0.983  0.360  1.0
  Mo  Mo17  1  0.983  0.658  0.640  1.0
  O  O18  1  0.480  0.822  0.050  1.0
  O  O19  1  0.218  0.211  0.791  1.0
  O  O20  1  0.520  0.178  0.950  1.0
  O  O21  1  0.666  0.186  0.662  1.0
  O  O22  1  0.186  0.521  0.338  1.0
  O  O23  1  0.275  0.258  0.446  1.0
  O  O24  1  0.494  0.857  0.660  1.0
  O  O25  1  0.782  0.789  0.209  1.0
  O  O26  1  0.506  0.143  0.340  1.0
  O  O27  1  0.814  0.479  0.662  1.0
  O  O28  1  0.983  0.725  0.446  1.0
  O  O29  1  0.479  0.666  0.338  1.0
  O  O30  1  0.857  0.363  0.340  1.0
  O  O31  1  0.657  0.480  0.950  1.0
  O  O32  1  0.343  0.520  0.050  1.0
  O  O33  1  0.178  0.657  0.050  1.0
  O  O34  1  0.363  0.506  0.660  1.0
  O  O35  1  0.637  0.494  0.340  1.0
  O  O36  1  0.017  0.275  0.554  1.0
  O  O37  1  0.211  0.993  0.209  1.0
  O  O38  1  0.143  0.637  0.660  1.0
  O  O39  1  0.258  0.983  0.554  1.0
  O  O40  1  0.007  0.218  0.209  1.0
  O  O41  1  0.789  0.007  0.791  1.0
  O  O42  1  0.822  0.343  0.950  1.0
  O  O43  1  0.521  0.334  0.662  1.0
  O  O44  1  0.742  0.017  0.446  1.0
  O  O45  1  0.725  0.742  0.554  1.0
  O  O46  1  0.334  0.814  0.338  1.0
  O  O47  1  0.993  0.782  0.791  1.0
[/CIF]
.