The material structure described by HoReFe11 crystallizes in the orthorhombic Imm2 space group. Ho(1) is bonded in a 20-coordinate geometry to one Re(1), one Fe(5), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(6), four equivalent Fe(4), and eight equivalent Fe(1) atoms. Re(1) is bonded in a 14-coordinate geometry to one Ho(1), one Fe(5), two equivalent Fe(3), two equivalent Fe(4), four equivalent Fe(1), and four equivalent Fe(6) atoms. There are six inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Ho(1), one Re(1), one Fe(2), one Fe(3), one Fe(5), two equivalent Fe(1), two equivalent Fe(4), and two equivalent Fe(6) atoms to form FeHo2Fe9Re cuboctahedra that share corners with two equivalent Fe(2)Ho2Fe10 cuboctahedra, corners with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, corners with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with ten equivalent Fe(1)Ho2Fe9Re cuboctahedra,  an edgeedge with one Fe(2)Ho2Fe10 cuboctahedra,  an edgeedge with one Fe(3)Ho2Fe8Re2 cuboctahedra, edges with two equivalent Fe(4)Ho2Fe9Re cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra, faces with two equivalent Fe(2)Ho2Fe10 cuboctahedra, faces with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, faces with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, and faces with six equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the second Fe site, Fe(2) is bonded to two equivalent Ho(1), two equivalent Fe(4), two equivalent Fe(5), two equivalent Fe(6), and four equivalent Fe(1) atoms to form distorted FeHo2Fe10 cuboctahedra that share corners with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with six equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, corners with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra,  an edgeedge with one Fe(3)Ho2Fe8Re2 cuboctahedra, edges with two equivalent Fe(2)Ho2Fe10 cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra,  a faceface with one Fe(3)Ho2Fe8Re2 cuboctahedra, faces with six equivalent Fe(4)Ho2Fe9Re cuboctahedra, and faces with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the third Fe site, Fe(3) is bonded to two equivalent Ho(1), two equivalent Re(1), two equivalent Fe(4), two equivalent Fe(6), and four equivalent Fe(1) atoms to form distorted FeHo2Fe8Re2 cuboctahedra that share corners with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with six equivalent Fe(2)Ho2Fe10 cuboctahedra, corners with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra,  an edgeedge with one Fe(2)Ho2Fe10 cuboctahedra, edges with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra,  a faceface with one Fe(2)Ho2Fe10 cuboctahedra, faces with six equivalent Fe(4)Ho2Fe9Re cuboctahedra, and faces with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent Ho(1), one Re(1), one Fe(2), one Fe(3), one Fe(5), two equivalent Fe(6), and four equivalent Fe(1) atoms to form distorted FeHo2Fe9Re cuboctahedra that share corners with two equivalent Fe(2)Ho2Fe10 cuboctahedra, corners with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, corners with six equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra, edges with three equivalent Fe(4)Ho2Fe9Re cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra,  a faceface with one Fe(4)Ho2Fe9Re cuboctahedra, faces with three equivalent Fe(2)Ho2Fe10 cuboctahedra, faces with three equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, and faces with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the fifth Fe site, Fe(5) is bonded in a 14-coordinate geometry to one Ho(1), one Re(1), two equivalent Fe(2), two equivalent Fe(4), four equivalent Fe(1), and four equivalent Fe(6) atoms. In the sixth Fe site, Fe(6) is bonded in a 14-coordinate geometry to one Ho(1), two equivalent Re(1), one Fe(2), one Fe(3), one Fe(6), two equivalent Fe(4), two equivalent Fe(5), and four equivalent Fe(1) atoms. is represented by the CIF file [CIF]
data_HoFe11Re
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.686
_cell_length_b   6.426
_cell_length_c   6.426
_cell_angle_alpha   97.987
_cell_angle_beta   111.386
_cell_angle_gamma   68.614
_symmetry_Int_Tables_number   1
_cell_volume   167.779
_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
  Ho  Ho0  1  0.004  0.996  0.004  1.0
  Fe  Fe1  1  0.500  0.999  0.500  1.0
  Fe  Fe2  1  0.001  0.999  0.500  1.0
  Fe  Fe3  1  0.500  0.500  0.001  1.0
  Fe  Fe4  1  0.001  0.500  0.001  1.0
  Fe  Fe5  1  0.727  0.773  0.227  1.0
  Fe  Fe6  1  0.273  0.227  0.773  1.0
  Fe  Fe7  1  0.499  0.777  0.775  1.0
  Fe  Fe8  1  0.499  0.225  0.223  1.0
  Fe  Fe9  1  0.360  0.640  0.360  1.0
  Fe  Fe10  1  0.999  0.360  0.358  1.0
  Fe  Fe11  1  0.999  0.642  0.640  1.0
  Re  Re12  1  0.639  0.361  0.639  1.0
[/CIF]
.
The material structure described by HoReFe11 crystallizes in the orthorhombic Imm2 space group. Ho(1) is bonded in a 20-coordinate geometry to one Re(1), one Fe(5), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(6), four equivalent Fe(4), and eight equivalent Fe(1) atoms. Re(1) is bonded in a 14-coordinate geometry to one Ho(1), one Fe(5), two equivalent Fe(3), two equivalent Fe(4), four equivalent Fe(1), and four equivalent Fe(6) atoms. There are six inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Ho(1), one Re(1), one Fe(2), one Fe(3), one Fe(5), two equivalent Fe(1), two equivalent Fe(4), and two equivalent Fe(6) atoms to form FeHo2Fe9Re cuboctahedra that share corners with two equivalent Fe(2)Ho2Fe10 cuboctahedra, corners with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, corners with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with ten equivalent Fe(1)Ho2Fe9Re cuboctahedra,  an edgeedge with one Fe(2)Ho2Fe10 cuboctahedra,  an edgeedge with one Fe(3)Ho2Fe8Re2 cuboctahedra, edges with two equivalent Fe(4)Ho2Fe9Re cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra, faces with two equivalent Fe(2)Ho2Fe10 cuboctahedra, faces with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, faces with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, and faces with six equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the second Fe site, Fe(2) is bonded to two equivalent Ho(1), two equivalent Fe(4), two equivalent Fe(5), two equivalent Fe(6), and four equivalent Fe(1) atoms to form distorted FeHo2Fe10 cuboctahedra that share corners with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with six equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, corners with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra,  an edgeedge with one Fe(3)Ho2Fe8Re2 cuboctahedra, edges with two equivalent Fe(2)Ho2Fe10 cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra,  a faceface with one Fe(3)Ho2Fe8Re2 cuboctahedra, faces with six equivalent Fe(4)Ho2Fe9Re cuboctahedra, and faces with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the third Fe site, Fe(3) is bonded to two equivalent Ho(1), two equivalent Re(1), two equivalent Fe(4), two equivalent Fe(6), and four equivalent Fe(1) atoms to form distorted FeHo2Fe8Re2 cuboctahedra that share corners with four equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with six equivalent Fe(2)Ho2Fe10 cuboctahedra, corners with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra,  an edgeedge with one Fe(2)Ho2Fe10 cuboctahedra, edges with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra,  a faceface with one Fe(2)Ho2Fe10 cuboctahedra, faces with six equivalent Fe(4)Ho2Fe9Re cuboctahedra, and faces with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent Ho(1), one Re(1), one Fe(2), one Fe(3), one Fe(5), two equivalent Fe(6), and four equivalent Fe(1) atoms to form distorted FeHo2Fe9Re cuboctahedra that share corners with two equivalent Fe(2)Ho2Fe10 cuboctahedra, corners with two equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, corners with six equivalent Fe(4)Ho2Fe9Re cuboctahedra, corners with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra, edges with three equivalent Fe(4)Ho2Fe9Re cuboctahedra, edges with four equivalent Fe(1)Ho2Fe9Re cuboctahedra,  a faceface with one Fe(4)Ho2Fe9Re cuboctahedra, faces with three equivalent Fe(2)Ho2Fe10 cuboctahedra, faces with three equivalent Fe(3)Ho2Fe8Re2 cuboctahedra, and faces with eight equivalent Fe(1)Ho2Fe9Re cuboctahedra. In the fifth Fe site, Fe(5) is bonded in a 14-coordinate geometry to one Ho(1), one Re(1), two equivalent Fe(2), two equivalent Fe(4), four equivalent Fe(1), and four equivalent Fe(6) atoms. In the sixth Fe site, Fe(6) is bonded in a 14-coordinate geometry to one Ho(1), two equivalent Re(1), one Fe(2), one Fe(3), one Fe(6), two equivalent Fe(4), two equivalent Fe(5), and four equivalent Fe(1) atoms. is represented by the CIF file [CIF]
data_HoFe11Re
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.686
_cell_length_b   6.426
_cell_length_c   6.426
_cell_angle_alpha   97.987
_cell_angle_beta   111.386
_cell_angle_gamma   68.614
_symmetry_Int_Tables_number   1
_cell_volume   167.779
_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
  Ho  Ho0  1  0.004  0.996  0.004  1.0
  Fe  Fe1  1  0.500  0.999  0.500  1.0
  Fe  Fe2  1  0.001  0.999  0.500  1.0
  Fe  Fe3  1  0.500  0.500  0.001  1.0
  Fe  Fe4  1  0.001  0.500  0.001  1.0
  Fe  Fe5  1  0.727  0.773  0.227  1.0
  Fe  Fe6  1  0.273  0.227  0.773  1.0
  Fe  Fe7  1  0.499  0.777  0.775  1.0
  Fe  Fe8  1  0.499  0.225  0.223  1.0
  Fe  Fe9  1  0.360  0.640  0.360  1.0
  Fe  Fe10  1  0.999  0.360  0.358  1.0
  Fe  Fe11  1  0.999  0.642  0.640  1.0
  Re  Re12  1  0.639  0.361  0.639  1.0
[/CIF]
.