The crystal structure described by HoTiFe8Co3 crystallizes in the orthorhombic Imm2 space group. Ho(1) is bonded in a 20-coordinate geometry to one Ti(1), two equivalent Fe(1), two equivalent Fe(2), four equivalent Fe(3), eight equivalent Fe(4), one Co(1), and two equivalent Co(2) atoms. Ti(1) is bonded in a 1-coordinate geometry to one Ho(1), two equivalent Fe(2), two equivalent Fe(3), four equivalent Fe(4), one Co(1), and four equivalent Co(2) atoms. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Ho(1), two equivalent Fe(3), four equivalent Fe(4), two equivalent Co(1), and two equivalent Co(2) atoms to form distorted FeHo2Fe6Co4 cuboctahedra that share corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with six equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with six equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with six equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. In the second Fe site, Fe(2) is bonded to two equivalent Ho(1), two equivalent Ti(1), two equivalent Fe(3), four equivalent Fe(4), and two equivalent Co(2) atoms to form distorted FeHo2Ti2Fe6Co2 cuboctahedra that share corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, corners with six equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, corners with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(1)Ho2Fe6Co4 cuboctahedra, edges with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Fe(1)Ho2Fe6Co4 cuboctahedra, faces with six equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with six equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. In the third Fe site, Fe(3) is bonded to two equivalent Ho(1), one Ti(1), one Fe(1), one Fe(2), four equivalent Fe(4), one Co(1), and two equivalent Co(2) atoms to form distorted FeHo2TiFe6Co3 cuboctahedra that share corners with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, corners with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, corners with six equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra, edges with two equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with three equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, faces with three equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent Ho(1), one Ti(1), one Fe(1), one Fe(2), two equivalent Fe(3), two equivalent Fe(4), one Co(1), and two equivalent Co(2) atoms to form distorted FeHo2TiFe6Co3 cuboctahedra that share corners with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, corners with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with three equivalent Co(2)HoTi2Fe8Co cuboctahedra, corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with ten equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(1)Ho2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, edges with two equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, faces with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with six equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 1-coordinate geometry to one Ho(1), one Ti(1), two equivalent Fe(1), two equivalent Fe(3), and four equivalent Fe(4) atoms. In the second Co site, Co(2) is bonded to one Ho(1), two equivalent Ti(1), one Fe(1), one Fe(2), two equivalent Fe(3), four equivalent Fe(4), and one Co(2) atom to form distorted CoHoTi2Fe8Co cuboctahedra that share corners with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with six equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra, corners with seven equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with two equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, edges with two equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Co(2)HoTi2Fe8Co cuboctahedra, faces with three equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, faces with three equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_HoTiFe8Co3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.723
_cell_length_b   6.413
_cell_length_c   6.413
_cell_angle_alpha   97.430
_cell_angle_beta   111.610
_cell_angle_gamma   68.390
_symmetry_Int_Tables_number   1
_cell_volume   167.891
_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  0.005  0.995  0.005  1.0
  Ti  Ti1  1  0.626  0.374  0.626  1.0
  Fe  Fe2  1  0.729  0.771  0.229  1.0
  Fe  Fe3  1  0.279  0.221  0.779  1.0
  Fe  Fe4  1  0.500  0.781  0.780  1.0
  Fe  Fe5  1  0.500  0.220  0.219  1.0
  Fe  Fe6  1  0.502  0.997  0.500  1.0
  Fe  Fe7  1  0.001  0.997  0.500  1.0
  Fe  Fe8  1  0.502  0.500  0.003  1.0
  Fe  Fe9  1  0.001  0.500  0.003  1.0
  Co  Co10  1  0.351  0.649  0.351  1.0
  Co  Co11  1  0.002  0.357  0.361  1.0
  Co  Co12  1  0.002  0.639  0.643  1.0
[/CIF]
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The crystal structure described by HoTiFe8Co3 crystallizes in the orthorhombic Imm2 space group. Ho(1) is bonded in a 20-coordinate geometry to one Ti(1), two equivalent Fe(1), two equivalent Fe(2), four equivalent Fe(3), eight equivalent Fe(4), one Co(1), and two equivalent Co(2) atoms. Ti(1) is bonded in a 1-coordinate geometry to one Ho(1), two equivalent Fe(2), two equivalent Fe(3), four equivalent Fe(4), one Co(1), and four equivalent Co(2) atoms. There are four inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to two equivalent Ho(1), two equivalent Fe(3), four equivalent Fe(4), two equivalent Co(1), and two equivalent Co(2) atoms to form distorted FeHo2Fe6Co4 cuboctahedra that share corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with six equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with six equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with six equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. In the second Fe site, Fe(2) is bonded to two equivalent Ho(1), two equivalent Ti(1), two equivalent Fe(3), four equivalent Fe(4), and two equivalent Co(2) atoms to form distorted FeHo2Ti2Fe6Co2 cuboctahedra that share corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, corners with six equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, corners with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(1)Ho2Fe6Co4 cuboctahedra, edges with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Fe(1)Ho2Fe6Co4 cuboctahedra, faces with six equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with six equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. In the third Fe site, Fe(3) is bonded to two equivalent Ho(1), one Ti(1), one Fe(1), one Fe(2), four equivalent Fe(4), one Co(1), and two equivalent Co(2) atoms to form distorted FeHo2TiFe6Co3 cuboctahedra that share corners with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, corners with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, corners with six equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra, edges with two equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with three equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with three equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, faces with three equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. In the fourth Fe site, Fe(4) is bonded to two equivalent Ho(1), one Ti(1), one Fe(1), one Fe(2), two equivalent Fe(3), two equivalent Fe(4), one Co(1), and two equivalent Co(2) atoms to form distorted FeHo2TiFe6Co3 cuboctahedra that share corners with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, corners with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with three equivalent Co(2)HoTi2Fe8Co cuboctahedra, corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with ten equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  an edgeedge with one Fe(1)Ho2Fe6Co4 cuboctahedra,  an edgeedge with one Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, edges with two equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, edges with two equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, faces with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, faces with four equivalent Co(2)HoTi2Fe8Co cuboctahedra, and faces with six equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 1-coordinate geometry to one Ho(1), one Ti(1), two equivalent Fe(1), two equivalent Fe(3), and four equivalent Fe(4) atoms. In the second Co site, Co(2) is bonded to one Ho(1), two equivalent Ti(1), one Fe(1), one Fe(2), two equivalent Fe(3), four equivalent Fe(4), and one Co(2) atom to form distorted CoHoTi2Fe8Co cuboctahedra that share corners with two equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, corners with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, corners with six equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra, corners with seven equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with two equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, edges with two equivalent Co(2)HoTi2Fe8Co cuboctahedra, edges with four equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra,  a faceface with one Co(2)HoTi2Fe8Co cuboctahedra, faces with three equivalent Fe(1)Ho2Fe6Co4 cuboctahedra, faces with three equivalent Fe(2)Ho2Ti2Fe6Co2 cuboctahedra, faces with four equivalent Fe(3)Ho2TiFe6Co3 cuboctahedra, and faces with eight equivalent Fe(4)Ho2TiFe6Co3 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_HoTiFe8Co3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.723
_cell_length_b   6.413
_cell_length_c   6.413
_cell_angle_alpha   97.430
_cell_angle_beta   111.610
_cell_angle_gamma   68.390
_symmetry_Int_Tables_number   1
_cell_volume   167.891
_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  0.005  0.995  0.005  1.0
  Ti  Ti1  1  0.626  0.374  0.626  1.0
  Fe  Fe2  1  0.729  0.771  0.229  1.0
  Fe  Fe3  1  0.279  0.221  0.779  1.0
  Fe  Fe4  1  0.500  0.781  0.780  1.0
  Fe  Fe5  1  0.500  0.220  0.219  1.0
  Fe  Fe6  1  0.502  0.997  0.500  1.0
  Fe  Fe7  1  0.001  0.997  0.500  1.0
  Fe  Fe8  1  0.502  0.500  0.003  1.0
  Fe  Fe9  1  0.001  0.500  0.003  1.0
  Co  Co10  1  0.351  0.649  0.351  1.0
  Co  Co11  1  0.002  0.357  0.361  1.0
  Co  Co12  1  0.002  0.639  0.643  1.0
[/CIF]
.