The structure described by Th3Y3Mn23 crystallizes in the trigonal R3m space group. Th(1) is bonded in a 12-coordinate geometry to one Mn(1), one Mn(2), one Mn(6), one Mn(7), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(9) atoms. Y(1) is bonded in a 12-coordinate geometry to one Mn(3), one Mn(4), one Mn(8), one Mn(9), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(7) atoms. There are eleven inequivalent Mn sites. In the first Mn site, Mn(9) is bonded in a 13-coordinate geometry to two equivalent Th(1), one Y(1), one Mn(10), one Mn(3), one Mn(5), one Mn(6), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(7) atoms. In the second Mn site, Mn(10) is bonded to two equivalent Th(1), two equivalent Y(1), one Mn(6), one Mn(7), one Mn(8), one Mn(9), two equivalent Mn(2), and two equivalent Mn(4) atoms to form MnY2Th2Mn8 cuboctahedra that share corners with two equivalent Mn(1)Th3Mn9 cuboctahedra, corners with two equivalent Mn(4)YTh2Mn9 cuboctahedra, corners with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra,  a faceface with one Mn(1)Th3Mn9 cuboctahedra, faces with three equivalent Mn(4)YTh2Mn9 cuboctahedra, faces with four equivalent Mn(10)Y2Th2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra. In the third Mn site, Mn(11) is bonded to two equivalent Th(1), two equivalent Y(1), one Mn(1), one Mn(2), one Mn(3), one Mn(4), two equivalent Mn(7), and two equivalent Mn(9) atoms to form MnY2Th2Mn8 cuboctahedra that share corners with four equivalent Mn(10)Y2Th2Mn8 cuboctahedra, corners with four equivalent Mn(4)YTh2Mn9 cuboctahedra,  a faceface with one Mn(1)Th3Mn9 cuboctahedra, faces with three equivalent Mn(4)YTh2Mn9 cuboctahedra, faces with four equivalent Mn(10)Y2Th2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra. In the fourth Mn site, Mn(1) is bonded to three equivalent Th(1), three equivalent Mn(11), three equivalent Mn(2), and three equivalent Mn(7) atoms to form MnTh3Mn9 cuboctahedra that share corners with six equivalent Mn(10)Y2Th2Mn8 cuboctahedra, faces with three equivalent Mn(10)Y2Th2Mn8 cuboctahedra, faces with three equivalent Mn(11)Y2Th2Mn8 cuboctahedra, and faces with three equivalent Mn(4)YTh2Mn9 cuboctahedra. In the fifth Mn site, Mn(2) is bonded in a distorted q6 geometry to one Th(1), two equivalent Y(1), one Mn(1), one Mn(11), one Mn(6), two equivalent Mn(10), two equivalent Mn(2), and two equivalent Mn(7) atoms. In the sixth Mn site, Mn(3) is bonded in a distorted q6 geometry to three equivalent Y(1), three equivalent Mn(11), three equivalent Mn(4), and three equivalent Mn(9) atoms. In the seventh Mn site, Mn(4) is bonded to two equivalent Th(1), one Y(1), one Mn(11), one Mn(3), one Mn(8), two equivalent Mn(10), two equivalent Mn(4), and two equivalent Mn(9) atoms to form MnYTh2Mn9 cuboctahedra that share corners with two equivalent Mn(10)Y2Th2Mn8 cuboctahedra, corners with two equivalent Mn(4)YTh2Mn9 cuboctahedra, corners with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra,  a faceface with one Mn(1)Th3Mn9 cuboctahedra, faces with two equivalent Mn(4)YTh2Mn9 cuboctahedra, faces with three equivalent Mn(10)Y2Th2Mn8 cuboctahedra, and faces with three equivalent Mn(11)Y2Th2Mn8 cuboctahedra. In the eighth Mn site, Mn(5) is bonded in a body-centered cubic geometry to one Mn(6), one Mn(8), three equivalent Mn(7), and three equivalent Mn(9) atoms. In the ninth Mn site, Mn(6) is bonded in a 13-coordinate geometry to three equivalent Th(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(2), and three equivalent Mn(9) atoms. In the tenth Mn site, Mn(7) is bonded in a 13-coordinate geometry to one Th(1), two equivalent Y(1), one Mn(1), one Mn(10), one Mn(5), one Mn(8), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(9) atoms. In the eleventh Mn site, Mn(8) is bonded in a 13-coordinate geometry to three equivalent Y(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(4), and three equivalent Mn(7) atoms. is represented by the CIF file [CIF]
data_Y3Th3Mn23
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.581
_cell_length_b   8.581
_cell_length_c   8.573
_cell_angle_alpha   59.969
_cell_angle_beta   120.031
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   446.158
_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
  Y  Y0  1  0.706  0.707  0.292  1.0
  Y  Y1  1  0.293  0.294  0.292  1.0
  Y  Y2  1  0.293  0.707  0.292  1.0
  Th  Th3  1  0.292  0.292  0.709  1.0
  Th  Th4  1  0.708  0.708  0.709  1.0
  Th  Th5  1  0.708  0.292  0.709  1.0
  Mn  Mn6  1  0.681  0.319  0.042  1.0
  Mn  Mn7  1  0.676  0.324  0.319  1.0
  Mn  Mn8  1  0.676  0.034  0.319  1.0
  Mn  Mn9  1  0.966  0.324  0.319  1.0
  Mn  Mn10  1  0.323  0.677  0.969  1.0
  Mn  Mn11  1  0.320  0.680  0.677  1.0
  Mn  Mn12  1  0.320  0.963  0.677  1.0
  Mn  Mn13  1  0.037  0.680  0.677  1.0
  Mn  Mn14  1  0.003  0.997  0.010  1.0
  Mn  Mn15  1  0.877  0.123  0.632  1.0
  Mn  Mn16  1  0.876  0.124  0.121  1.0
  Mn  Mn17  1  0.876  0.631  0.121  1.0
  Mn  Mn18  1  0.369  0.124  0.121  1.0
  Mn  Mn19  1  0.123  0.877  0.369  1.0
  Mn  Mn20  1  0.122  0.878  0.876  1.0
  Mn  Mn21  1  0.122  0.367  0.876  1.0
  Mn  Mn22  1  0.633  0.878  0.876  1.0
  Mn  Mn23  1  0.493  0.001  0.490  1.0
  Mn  Mn24  1  0.999  0.507  0.490  1.0
  Mn  Mn25  1  0.999  0.001  0.490  1.0
  Mn  Mn26  1  0.011  0.502  0.008  1.0
  Mn  Mn27  1  0.498  0.989  0.008  1.0
  Mn  Mn28  1  0.498  0.502  0.008  1.0
[/CIF]
.
The structure described by Th3Y3Mn23 crystallizes in the trigonal R3m space group. Th(1) is bonded in a 12-coordinate geometry to one Mn(1), one Mn(2), one Mn(6), one Mn(7), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(9) atoms. Y(1) is bonded in a 12-coordinate geometry to one Mn(3), one Mn(4), one Mn(8), one Mn(9), two equivalent Mn(10), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(7) atoms. There are eleven inequivalent Mn sites. In the first Mn site, Mn(9) is bonded in a 13-coordinate geometry to two equivalent Th(1), one Y(1), one Mn(10), one Mn(3), one Mn(5), one Mn(6), two equivalent Mn(11), two equivalent Mn(4), and two equivalent Mn(7) atoms. In the second Mn site, Mn(10) is bonded to two equivalent Th(1), two equivalent Y(1), one Mn(6), one Mn(7), one Mn(8), one Mn(9), two equivalent Mn(2), and two equivalent Mn(4) atoms to form MnY2Th2Mn8 cuboctahedra that share corners with two equivalent Mn(1)Th3Mn9 cuboctahedra, corners with two equivalent Mn(4)YTh2Mn9 cuboctahedra, corners with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra,  a faceface with one Mn(1)Th3Mn9 cuboctahedra, faces with three equivalent Mn(4)YTh2Mn9 cuboctahedra, faces with four equivalent Mn(10)Y2Th2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra. In the third Mn site, Mn(11) is bonded to two equivalent Th(1), two equivalent Y(1), one Mn(1), one Mn(2), one Mn(3), one Mn(4), two equivalent Mn(7), and two equivalent Mn(9) atoms to form MnY2Th2Mn8 cuboctahedra that share corners with four equivalent Mn(10)Y2Th2Mn8 cuboctahedra, corners with four equivalent Mn(4)YTh2Mn9 cuboctahedra,  a faceface with one Mn(1)Th3Mn9 cuboctahedra, faces with three equivalent Mn(4)YTh2Mn9 cuboctahedra, faces with four equivalent Mn(10)Y2Th2Mn8 cuboctahedra, and faces with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra. In the fourth Mn site, Mn(1) is bonded to three equivalent Th(1), three equivalent Mn(11), three equivalent Mn(2), and three equivalent Mn(7) atoms to form MnTh3Mn9 cuboctahedra that share corners with six equivalent Mn(10)Y2Th2Mn8 cuboctahedra, faces with three equivalent Mn(10)Y2Th2Mn8 cuboctahedra, faces with three equivalent Mn(11)Y2Th2Mn8 cuboctahedra, and faces with three equivalent Mn(4)YTh2Mn9 cuboctahedra. In the fifth Mn site, Mn(2) is bonded in a distorted q6 geometry to one Th(1), two equivalent Y(1), one Mn(1), one Mn(11), one Mn(6), two equivalent Mn(10), two equivalent Mn(2), and two equivalent Mn(7) atoms. In the sixth Mn site, Mn(3) is bonded in a distorted q6 geometry to three equivalent Y(1), three equivalent Mn(11), three equivalent Mn(4), and three equivalent Mn(9) atoms. In the seventh Mn site, Mn(4) is bonded to two equivalent Th(1), one Y(1), one Mn(11), one Mn(3), one Mn(8), two equivalent Mn(10), two equivalent Mn(4), and two equivalent Mn(9) atoms to form MnYTh2Mn9 cuboctahedra that share corners with two equivalent Mn(10)Y2Th2Mn8 cuboctahedra, corners with two equivalent Mn(4)YTh2Mn9 cuboctahedra, corners with four equivalent Mn(11)Y2Th2Mn8 cuboctahedra,  a faceface with one Mn(1)Th3Mn9 cuboctahedra, faces with two equivalent Mn(4)YTh2Mn9 cuboctahedra, faces with three equivalent Mn(10)Y2Th2Mn8 cuboctahedra, and faces with three equivalent Mn(11)Y2Th2Mn8 cuboctahedra. In the eighth Mn site, Mn(5) is bonded in a body-centered cubic geometry to one Mn(6), one Mn(8), three equivalent Mn(7), and three equivalent Mn(9) atoms. In the ninth Mn site, Mn(6) is bonded in a 13-coordinate geometry to three equivalent Th(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(2), and three equivalent Mn(9) atoms. In the tenth Mn site, Mn(7) is bonded in a 13-coordinate geometry to one Th(1), two equivalent Y(1), one Mn(1), one Mn(10), one Mn(5), one Mn(8), two equivalent Mn(11), two equivalent Mn(2), and two equivalent Mn(9) atoms. In the eleventh Mn site, Mn(8) is bonded in a 13-coordinate geometry to three equivalent Y(1), one Mn(5), three equivalent Mn(10), three equivalent Mn(4), and three equivalent Mn(7) atoms. is represented by the CIF file [CIF]
data_Y3Th3Mn23
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.581
_cell_length_b   8.581
_cell_length_c   8.573
_cell_angle_alpha   59.969
_cell_angle_beta   120.031
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   446.158
_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
  Y  Y0  1  0.706  0.707  0.292  1.0
  Y  Y1  1  0.293  0.294  0.292  1.0
  Y  Y2  1  0.293  0.707  0.292  1.0
  Th  Th3  1  0.292  0.292  0.709  1.0
  Th  Th4  1  0.708  0.708  0.709  1.0
  Th  Th5  1  0.708  0.292  0.709  1.0
  Mn  Mn6  1  0.681  0.319  0.042  1.0
  Mn  Mn7  1  0.676  0.324  0.319  1.0
  Mn  Mn8  1  0.676  0.034  0.319  1.0
  Mn  Mn9  1  0.966  0.324  0.319  1.0
  Mn  Mn10  1  0.323  0.677  0.969  1.0
  Mn  Mn11  1  0.320  0.680  0.677  1.0
  Mn  Mn12  1  0.320  0.963  0.677  1.0
  Mn  Mn13  1  0.037  0.680  0.677  1.0
  Mn  Mn14  1  0.003  0.997  0.010  1.0
  Mn  Mn15  1  0.877  0.123  0.632  1.0
  Mn  Mn16  1  0.876  0.124  0.121  1.0
  Mn  Mn17  1  0.876  0.631  0.121  1.0
  Mn  Mn18  1  0.369  0.124  0.121  1.0
  Mn  Mn19  1  0.123  0.877  0.369  1.0
  Mn  Mn20  1  0.122  0.878  0.876  1.0
  Mn  Mn21  1  0.122  0.367  0.876  1.0
  Mn  Mn22  1  0.633  0.878  0.876  1.0
  Mn  Mn23  1  0.493  0.001  0.490  1.0
  Mn  Mn24  1  0.999  0.507  0.490  1.0
  Mn  Mn25  1  0.999  0.001  0.490  1.0
  Mn  Mn26  1  0.011  0.502  0.008  1.0
  Mn  Mn27  1  0.498  0.989  0.008  1.0
  Mn  Mn28  1  0.498  0.502  0.008  1.0
[/CIF]
.