The material structure described by HoFe6Sn6 crystallizes in the triclinic P1 space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one Fe(1), one Fe(10), one Fe(12), one Fe(15), one Fe(16), one Fe(18), one Fe(5), one Fe(6), two equivalent Fe(11), two equivalent Fe(7), one Sn(16), one Sn(2), one Sn(8), one Sn(9), two equivalent Sn(13), and two equivalent Sn(15) atoms to form distorted HoFe12Sn8 hexagonal bipyramids that share corners with four equivalent Ho(2)Fe12Sn8 hexagonal bipyramids,  a faceface with one Fe(13)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the second Ho site, Ho(2) is bonded to one Fe(1), one Fe(14), one Fe(15), one Fe(16), one Fe(17), one Fe(3), one Fe(4), one Fe(6), two equivalent Fe(8), two equivalent Fe(9), one Sn(1), one Sn(18), one Sn(6), one Sn(7), two equivalent Sn(11), and two equivalent Sn(12) atoms to form distorted HoFe12Sn8 hexagonal bipyramids that share corners with four equivalent Ho(1)Fe12Sn8 hexagonal bipyramids,  a faceface with one Fe(13)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the third Ho site, Ho(3) is bonded to one Fe(10), one Fe(12), one Fe(14), one Fe(17), one Fe(18), one Fe(3), one Fe(4), one Fe(5), two equivalent Fe(13), two equivalent Fe(2), one Sn(12), one Sn(13), one Sn(4), one Sn(5), two equivalent Sn(1), and two equivalent Sn(9) atoms to form distorted HoFe12Sn8 hexagonal bipyramids that share  a faceface with one Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. There are eighteen inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one Ho(1), one Ho(2), one Fe(11), one Fe(8), two equivalent Fe(6), one Sn(11), one Sn(15), one Sn(16), one Sn(2), one Sn(6), and one Sn(7) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(18)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(7)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the second Fe site, Fe(2) is bonded in a 12-coordinate geometry to two equivalent Ho(3), one Fe(18), one Fe(3), one Fe(4), one Fe(5), one Sn(1), one Sn(14), one Sn(17), one Sn(9), and two equivalent Sn(5) atoms. In the third Fe site, Fe(3) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(2), one Fe(8), two equivalent Fe(4), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(5), and one Sn(6) atom. In the fourth Fe site, Fe(4) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(2), one Fe(8), two equivalent Fe(3), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(5), and one Sn(6) atom. In the fifth Fe site, Fe(5) is bonded to one Ho(1), one Ho(3), one Fe(2), one Fe(7), two equivalent Fe(18), one Sn(13), one Sn(14), one Sn(3), one Sn(5), one Sn(8), and one Sn(9) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(1)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(6)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the sixth Fe site, Fe(6) is bonded to one Ho(1), one Ho(2), one Fe(11), one Fe(8), two equivalent Fe(1), one Sn(11), one Sn(15), one Sn(16), one Sn(2), one Sn(6), and one Sn(7) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(18)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(7)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the seventh Fe site, Fe(7) is bonded to two equivalent Ho(1), one Fe(15), one Fe(16), one Fe(18), one Fe(5), one Sn(13), one Sn(15), one Sn(3), one Sn(7), and two equivalent Sn(8) atoms to form distorted FeHo2Fe4Sn6 cuboctahedra that share corners with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(1)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(6)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Ho(2)Fe12Sn8 hexagonal bipyramid,  a faceface with one Ho(3)Fe12Sn8 hexagonal bipyramid, and faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids. In the eighth Fe site, Fe(8) is bonded in a 12-coordinate geometry to two equivalent Ho(2), one Fe(1), one Fe(3), one Fe(4), one Fe(6), one Sn(10), one Sn(11), one Sn(12), one Sn(2), and two equivalent Sn(6) atoms. In the ninth Fe site, Fe(9) is bonded in a 12-coordinate geometry to two equivalent Ho(2), one Fe(14), one Fe(15), one Fe(16), one Fe(17), one Sn(10), one Sn(11), one Sn(12), one Sn(2), and two equivalent Sn(18) atoms. In the tenth Fe site, Fe(10) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(3), one Fe(11), one Fe(13), two equivalent Fe(12), one Sn(13), one Sn(14), one Sn(16), one Sn(3), one Sn(4), and one Sn(9) atom. In the eleventh Fe site, Fe(11) is bonded in a 12-coordinate geometry to two equivalent Ho(1), one Fe(1), one Fe(10), one Fe(12), one Fe(6), one Sn(13), one Sn(15), one Sn(3), one Sn(7), and two equivalent Sn(16) atoms. In the twelfth Fe site, Fe(12) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(3), one Fe(11), one Fe(13), two equivalent Fe(10), one Sn(13), one Sn(14), one Sn(16), one Sn(3), one Sn(4), and one Sn(9) atom. In the thirteenth Fe site, Fe(13) is bonded to two equivalent Ho(3), one Fe(10), one Fe(12), one Fe(14), one Fe(17), one Sn(1), one Sn(14), one Sn(17), one Sn(9), and two equivalent Sn(4) atoms to form distorted FeHo2Fe4Sn6 cuboctahedra that share corners with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(18)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Ho(1)Fe12Sn8 hexagonal bipyramid,  a faceface with one Ho(2)Fe12Sn8 hexagonal bipyramid, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the fourteenth Fe site, Fe(14) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(13), one Fe(9), two equivalent Fe(17), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(18), and one Sn(4) atom. In the fifteenth Fe site, Fe(15) is bonded to one Ho(1), one Ho(2), one Fe(7), one Fe(9), two equivalent Fe(16), one Sn(11), one Sn(15), one Sn(18), one Sn(2), one Sn(7), and one Sn(8) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(5)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the sixteenth Fe site, Fe(16) is bonded to one Ho(1), one Ho(2), one Fe(7), one Fe(9), two equivalent Fe(15), one Sn(11), one Sn(15), one Sn(18), one Sn(2), one Sn(7), and one Sn(8) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(18)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(18)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the seventeenth Fe site, Fe(17) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(13), one Fe(9), two equivalent Fe(14), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(18), and one Sn(4) atom. In the eighteenth Fe site, Fe(18) is bonded to one Ho(1), one Ho(3), one Fe(2), one Fe(7), two equivalent Fe(5), one Sn(13), one Sn(14), one Sn(3), one Sn(5), one Sn(8), and one Sn(9) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(1)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(6)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. There are eighteen inequivalent Sn sites. In the first Sn site, Sn(1) is bonded in a 9-coordinate geometry to one Ho(2), two equivalent Ho(3), one Fe(13), one Fe(14), one Fe(17), one Fe(2), one Fe(3), and one Fe(4) atom. In the second Sn site, Sn(2) is bonded in a 7-coordinate geometry to one Ho(1), one Fe(1), one Fe(15), one Fe(16), one Fe(6), one Fe(8), and one Fe(9) atom. In the third Sn site, Sn(3) is bonded in a 6-coordinate geometry to one Fe(10), one Fe(11), one Fe(12), one Fe(18), one Fe(5), and one Fe(7) atom. In the fourth Sn site, Sn(4) is bonded in a 8-coordinate geometry to one Ho(3), one Fe(10), one Fe(12), one Fe(14), one Fe(17), two equivalent Fe(13), and one Sn(5) atom. In the fifth Sn site, Sn(5) is bonded in a 8-coordinate geometry to one Ho(3), one Fe(18), one Fe(3), one Fe(4), one Fe(5), two equivalent Fe(2), and one Sn(4) atom. In the sixth Sn site, Sn(6) is bonded in a 8-coordinate geometry to one Ho(2), one Fe(1), one Fe(3), one Fe(4), one Fe(6), two equivalent Fe(8), and one Sn(18) atom. In the seventh Sn site, Sn(7) is bonded in a 7-coordinate geometry to one Ho(2), one Fe(1), one Fe(11), one Fe(15), one Fe(16), one Fe(6), and one Fe(7) atom. In the eighth Sn site, Sn(8) is bonded in a 8-coordinate geometry to one Ho(1), one Fe(15), one Fe(16), one Fe(18), one Fe(5), two equivalent Fe(7), and one Sn(16) atom. In the ninth Sn site, Sn(9) is bonded in a 9-coordinate geometry to one Ho(1), two equivalent Ho(3), one Fe(10), one Fe(12), one Fe(13), one Fe(18), one Fe(2), and one Fe(5) atom. In the tenth Sn site, Sn(10) is bonded in a 6-coordinate geometry to one Fe(14), one Fe(17), one Fe(3), one Fe(4), one Fe(8), and one Fe(9) atom. In the eleventh Sn site, Sn(11) is bonded in a 8-coordinate geometry to two equivalent Ho(2), one Fe(1), one Fe(15), one Fe(16), one Fe(6), one Fe(8), and one Fe(9) atom. In the twelfth Sn site, Sn(12) is bonded in a 9-coordinate geometry to one Ho(3), two equivalent Ho(2), one Fe(14), one Fe(17), one Fe(3), one Fe(4), one Fe(8), and one Fe(9) atom. In the thirteenth Sn site, Sn(13) is bonded in a 9-coordinate geometry to one Ho(3), two equivalent Ho(1), one Fe(10), one Fe(11), one Fe(12), one Fe(18), one Fe(5), and one Fe(7) atom. In the fourteenth Sn site, Sn(14) is bonded in a 6-coordinate geometry to one Fe(10), one Fe(12), one Fe(13), one Fe(18), one Fe(2), and one Fe(5) atom. In the fifteenth Sn site, Sn(15) is bonded in a 8-coordinate geometry to two equivalent Ho(1), one Fe(1), one Fe(11), one Fe(15), one Fe(16), one Fe(6), and one Fe(7) atom. In the sixteenth Sn site, Sn(16) is bonded in a 8-coordinate geometry to one Ho(1), one Fe(1), one Fe(10), one Fe(12), one Fe(6), two equivalent Fe(11), and one Sn(8) atom. In the seventeenth Sn site, Sn(17) is bonded in a 6-coordinate geometry to one Fe(13), one Fe(14), one Fe(17), one Fe(2), one Fe(3), and one Fe(4) atom. In the eighteenth Sn site, Sn(18) is bonded in a 8-coordinate geometry to one Ho(2), one Fe(14), one Fe(15), one Fe(16), one Fe(17), two equivalent Fe(9), and one Sn(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho(FeSn)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.408
_cell_length_b   8.940
_cell_length_c   14.980
_cell_angle_alpha   107.345
_cell_angle_beta   100.410
_cell_angle_gamma   90.027
_symmetry_Int_Tables_number   1
_cell_volume   678.747
_cell_formula_units_Z   3
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  0.667  0.169  0.335  1.0
  Ho  Ho1  1  0.333  0.831  0.664  1.0
  Ho  Ho2  1  0.999  0.998  1.000  1.0
  Fe  Fe3  1  0.000  0.002  0.501  1.0
  Fe  Fe4  1  0.495  0.244  0.999  1.0
  Fe  Fe5  1  0.664  0.163  0.834  1.0
  Fe  Fe6  1  0.163  0.161  0.834  1.0
  Fe  Fe7  1  0.334  0.329  0.165  1.0
  Fe  Fe8  1  0.505  0.001  0.500  1.0
  Fe  Fe9  1  0.170  0.416  0.334  1.0
  Fe  Fe10  1  0.829  0.081  0.666  1.0
  Fe  Fe11  1  0.832  0.583  0.667  1.0
  Fe  Fe12  1  0.337  0.835  0.166  1.0
  Fe  Fe13  1  0.170  0.919  0.334  1.0
  Fe  Fe14  1  0.837  0.836  0.167  1.0
  Fe  Fe15  1  0.499  0.753  0.001  1.0
  Fe  Fe16  1  0.170  0.668  0.834  1.0
  Fe  Fe17  1  0.999  0.500  0.501  1.0
  Fe  Fe18  1  0.496  0.500  0.499  1.0
  Fe  Fe19  1  0.666  0.671  0.834  1.0
  Fe  Fe20  1  0.835  0.330  0.166  1.0
  Sn  Sn21  1  0.444  0.943  0.888  1.0
  Sn  Sn22  1  0.776  0.280  0.557  1.0
  Sn  Sn23  1  0.116  0.610  0.221  1.0
  Sn  Sn24  1  0.999  0.662  0.999  1.0
  Sn  Sn25  1  0.996  0.335  1.000  1.0
  Sn  Sn26  1  0.331  0.169  0.667  1.0
  Sn  Sn27  1  0.224  0.723  0.442  1.0
  Sn  Sn28  1  0.670  0.505  0.333  1.0
  Sn  Sn29  1  0.557  0.055  0.112  1.0
  Sn  Sn30  1  0.889  0.387  0.778  1.0
  Sn  Sn31  1  0.779  0.777  0.554  1.0
  Sn  Sn32  1  0.889  0.886  0.776  1.0
  Sn  Sn33  1  0.113  0.111  0.223  1.0
  Sn  Sn34  1  0.557  0.553  0.110  1.0
  Sn  Sn35  1  0.221  0.223  0.445  1.0
  Sn  Sn36  1  0.671  0.831  0.333  1.0
  Sn  Sn37  1  0.445  0.443  0.888  1.0
  Sn  Sn38  1  0.334  0.496  0.667  1.0
[/CIF]
.
The material structure described by HoFe6Sn6 crystallizes in the triclinic P1 space group. There are three inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to one Fe(1), one Fe(10), one Fe(12), one Fe(15), one Fe(16), one Fe(18), one Fe(5), one Fe(6), two equivalent Fe(11), two equivalent Fe(7), one Sn(16), one Sn(2), one Sn(8), one Sn(9), two equivalent Sn(13), and two equivalent Sn(15) atoms to form distorted HoFe12Sn8 hexagonal bipyramids that share corners with four equivalent Ho(2)Fe12Sn8 hexagonal bipyramids,  a faceface with one Fe(13)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the second Ho site, Ho(2) is bonded to one Fe(1), one Fe(14), one Fe(15), one Fe(16), one Fe(17), one Fe(3), one Fe(4), one Fe(6), two equivalent Fe(8), two equivalent Fe(9), one Sn(1), one Sn(18), one Sn(6), one Sn(7), two equivalent Sn(11), and two equivalent Sn(12) atoms to form distorted HoFe12Sn8 hexagonal bipyramids that share corners with four equivalent Ho(1)Fe12Sn8 hexagonal bipyramids,  a faceface with one Fe(13)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the third Ho site, Ho(3) is bonded to one Fe(10), one Fe(12), one Fe(14), one Fe(17), one Fe(18), one Fe(3), one Fe(4), one Fe(5), two equivalent Fe(13), two equivalent Fe(2), one Sn(12), one Sn(13), one Sn(4), one Sn(5), two equivalent Sn(1), and two equivalent Sn(9) atoms to form distorted HoFe12Sn8 hexagonal bipyramids that share  a faceface with one Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. There are eighteen inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one Ho(1), one Ho(2), one Fe(11), one Fe(8), two equivalent Fe(6), one Sn(11), one Sn(15), one Sn(16), one Sn(2), one Sn(6), and one Sn(7) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(18)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(7)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the second Fe site, Fe(2) is bonded in a 12-coordinate geometry to two equivalent Ho(3), one Fe(18), one Fe(3), one Fe(4), one Fe(5), one Sn(1), one Sn(14), one Sn(17), one Sn(9), and two equivalent Sn(5) atoms. In the third Fe site, Fe(3) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(2), one Fe(8), two equivalent Fe(4), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(5), and one Sn(6) atom. In the fourth Fe site, Fe(4) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(2), one Fe(8), two equivalent Fe(3), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(5), and one Sn(6) atom. In the fifth Fe site, Fe(5) is bonded to one Ho(1), one Ho(3), one Fe(2), one Fe(7), two equivalent Fe(18), one Sn(13), one Sn(14), one Sn(3), one Sn(5), one Sn(8), and one Sn(9) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(1)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(15)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(6)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(15)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the sixth Fe site, Fe(6) is bonded to one Ho(1), one Ho(2), one Fe(11), one Fe(8), two equivalent Fe(1), one Sn(11), one Sn(15), one Sn(16), one Sn(2), one Sn(6), and one Sn(7) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(18)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(5)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(7)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the seventh Fe site, Fe(7) is bonded to two equivalent Ho(1), one Fe(15), one Fe(16), one Fe(18), one Fe(5), one Sn(13), one Sn(15), one Sn(3), one Sn(7), and two equivalent Sn(8) atoms to form distorted FeHo2Fe4Sn6 cuboctahedra that share corners with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(1)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(6)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Ho(2)Fe12Sn8 hexagonal bipyramid,  a faceface with one Ho(3)Fe12Sn8 hexagonal bipyramid, and faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids. In the eighth Fe site, Fe(8) is bonded in a 12-coordinate geometry to two equivalent Ho(2), one Fe(1), one Fe(3), one Fe(4), one Fe(6), one Sn(10), one Sn(11), one Sn(12), one Sn(2), and two equivalent Sn(6) atoms. In the ninth Fe site, Fe(9) is bonded in a 12-coordinate geometry to two equivalent Ho(2), one Fe(14), one Fe(15), one Fe(16), one Fe(17), one Sn(10), one Sn(11), one Sn(12), one Sn(2), and two equivalent Sn(18) atoms. In the tenth Fe site, Fe(10) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(3), one Fe(11), one Fe(13), two equivalent Fe(12), one Sn(13), one Sn(14), one Sn(16), one Sn(3), one Sn(4), and one Sn(9) atom. In the eleventh Fe site, Fe(11) is bonded in a 12-coordinate geometry to two equivalent Ho(1), one Fe(1), one Fe(10), one Fe(12), one Fe(6), one Sn(13), one Sn(15), one Sn(3), one Sn(7), and two equivalent Sn(16) atoms. In the twelfth Fe site, Fe(12) is bonded in a 12-coordinate geometry to one Ho(1), one Ho(3), one Fe(11), one Fe(13), two equivalent Fe(10), one Sn(13), one Sn(14), one Sn(16), one Sn(3), one Sn(4), and one Sn(9) atom. In the thirteenth Fe site, Fe(13) is bonded to two equivalent Ho(3), one Fe(10), one Fe(12), one Fe(14), one Fe(17), one Sn(1), one Sn(14), one Sn(17), one Sn(9), and two equivalent Sn(4) atoms to form distorted FeHo2Fe4Sn6 cuboctahedra that share corners with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(18)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Ho(1)Fe12Sn8 hexagonal bipyramid,  a faceface with one Ho(2)Fe12Sn8 hexagonal bipyramid, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. In the fourteenth Fe site, Fe(14) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(13), one Fe(9), two equivalent Fe(17), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(18), and one Sn(4) atom. In the fifteenth Fe site, Fe(15) is bonded to one Ho(1), one Ho(2), one Fe(7), one Fe(9), two equivalent Fe(16), one Sn(11), one Sn(15), one Sn(18), one Sn(2), one Sn(7), and one Sn(8) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(5)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(5)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(18)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the sixteenth Fe site, Fe(16) is bonded to one Ho(1), one Ho(2), one Fe(7), one Fe(9), two equivalent Fe(15), one Sn(11), one Sn(15), one Sn(18), one Sn(2), one Sn(7), and one Sn(8) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(18)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(16)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(18)Ho2Fe4Sn6 cuboctahedra, edges with two equivalent Fe(1)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(6)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(2)Fe12Sn8 hexagonal bipyramids. In the seventeenth Fe site, Fe(17) is bonded in a 12-coordinate geometry to one Ho(2), one Ho(3), one Fe(13), one Fe(9), two equivalent Fe(14), one Sn(1), one Sn(10), one Sn(12), one Sn(17), one Sn(18), and one Sn(4) atom. In the eighteenth Fe site, Fe(18) is bonded to one Ho(1), one Ho(3), one Fe(2), one Fe(7), two equivalent Fe(5), one Sn(13), one Sn(14), one Sn(3), one Sn(5), one Sn(8), and one Sn(9) atom to form distorted FeHo2Fe4Sn6 cuboctahedra that share  a cornercorner with one Fe(1)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(16)Ho2Fe4Sn6 cuboctahedra,  a cornercorner with one Fe(6)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(13)Ho2Fe4Sn6 cuboctahedra, corners with two equivalent Fe(18)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(13)Ho2Fe4Sn6 cuboctahedra,  an edgeedge with one Fe(16)Ho2Fe4Sn6 cuboctahedra,  a faceface with one Fe(15)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(5)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Fe(7)Ho2Fe4Sn6 cuboctahedra, faces with two equivalent Ho(1)Fe12Sn8 hexagonal bipyramids, and faces with two equivalent Ho(3)Fe12Sn8 hexagonal bipyramids. There are eighteen inequivalent Sn sites. In the first Sn site, Sn(1) is bonded in a 9-coordinate geometry to one Ho(2), two equivalent Ho(3), one Fe(13), one Fe(14), one Fe(17), one Fe(2), one Fe(3), and one Fe(4) atom. In the second Sn site, Sn(2) is bonded in a 7-coordinate geometry to one Ho(1), one Fe(1), one Fe(15), one Fe(16), one Fe(6), one Fe(8), and one Fe(9) atom. In the third Sn site, Sn(3) is bonded in a 6-coordinate geometry to one Fe(10), one Fe(11), one Fe(12), one Fe(18), one Fe(5), and one Fe(7) atom. In the fourth Sn site, Sn(4) is bonded in a 8-coordinate geometry to one Ho(3), one Fe(10), one Fe(12), one Fe(14), one Fe(17), two equivalent Fe(13), and one Sn(5) atom. In the fifth Sn site, Sn(5) is bonded in a 8-coordinate geometry to one Ho(3), one Fe(18), one Fe(3), one Fe(4), one Fe(5), two equivalent Fe(2), and one Sn(4) atom. In the sixth Sn site, Sn(6) is bonded in a 8-coordinate geometry to one Ho(2), one Fe(1), one Fe(3), one Fe(4), one Fe(6), two equivalent Fe(8), and one Sn(18) atom. In the seventh Sn site, Sn(7) is bonded in a 7-coordinate geometry to one Ho(2), one Fe(1), one Fe(11), one Fe(15), one Fe(16), one Fe(6), and one Fe(7) atom. In the eighth Sn site, Sn(8) is bonded in a 8-coordinate geometry to one Ho(1), one Fe(15), one Fe(16), one Fe(18), one Fe(5), two equivalent Fe(7), and one Sn(16) atom. In the ninth Sn site, Sn(9) is bonded in a 9-coordinate geometry to one Ho(1), two equivalent Ho(3), one Fe(10), one Fe(12), one Fe(13), one Fe(18), one Fe(2), and one Fe(5) atom. In the tenth Sn site, Sn(10) is bonded in a 6-coordinate geometry to one Fe(14), one Fe(17), one Fe(3), one Fe(4), one Fe(8), and one Fe(9) atom. In the eleventh Sn site, Sn(11) is bonded in a 8-coordinate geometry to two equivalent Ho(2), one Fe(1), one Fe(15), one Fe(16), one Fe(6), one Fe(8), and one Fe(9) atom. In the twelfth Sn site, Sn(12) is bonded in a 9-coordinate geometry to one Ho(3), two equivalent Ho(2), one Fe(14), one Fe(17), one Fe(3), one Fe(4), one Fe(8), and one Fe(9) atom. In the thirteenth Sn site, Sn(13) is bonded in a 9-coordinate geometry to one Ho(3), two equivalent Ho(1), one Fe(10), one Fe(11), one Fe(12), one Fe(18), one Fe(5), and one Fe(7) atom. In the fourteenth Sn site, Sn(14) is bonded in a 6-coordinate geometry to one Fe(10), one Fe(12), one Fe(13), one Fe(18), one Fe(2), and one Fe(5) atom. In the fifteenth Sn site, Sn(15) is bonded in a 8-coordinate geometry to two equivalent Ho(1), one Fe(1), one Fe(11), one Fe(15), one Fe(16), one Fe(6), and one Fe(7) atom. In the sixteenth Sn site, Sn(16) is bonded in a 8-coordinate geometry to one Ho(1), one Fe(1), one Fe(10), one Fe(12), one Fe(6), two equivalent Fe(11), and one Sn(8) atom. In the seventeenth Sn site, Sn(17) is bonded in a 6-coordinate geometry to one Fe(13), one Fe(14), one Fe(17), one Fe(2), one Fe(3), and one Fe(4) atom. In the eighteenth Sn site, Sn(18) is bonded in a 8-coordinate geometry to one Ho(2), one Fe(14), one Fe(15), one Fe(16), one Fe(17), two equivalent Fe(9), and one Sn(6) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Ho(FeSn)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.408
_cell_length_b   8.940
_cell_length_c   14.980
_cell_angle_alpha   107.345
_cell_angle_beta   100.410
_cell_angle_gamma   90.027
_symmetry_Int_Tables_number   1
_cell_volume   678.747
_cell_formula_units_Z   3
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  0.667  0.169  0.335  1.0
  Ho  Ho1  1  0.333  0.831  0.664  1.0
  Ho  Ho2  1  0.999  0.998  1.000  1.0
  Fe  Fe3  1  0.000  0.002  0.501  1.0
  Fe  Fe4  1  0.495  0.244  0.999  1.0
  Fe  Fe5  1  0.664  0.163  0.834  1.0
  Fe  Fe6  1  0.163  0.161  0.834  1.0
  Fe  Fe7  1  0.334  0.329  0.165  1.0
  Fe  Fe8  1  0.505  0.001  0.500  1.0
  Fe  Fe9  1  0.170  0.416  0.334  1.0
  Fe  Fe10  1  0.829  0.081  0.666  1.0
  Fe  Fe11  1  0.832  0.583  0.667  1.0
  Fe  Fe12  1  0.337  0.835  0.166  1.0
  Fe  Fe13  1  0.170  0.919  0.334  1.0
  Fe  Fe14  1  0.837  0.836  0.167  1.0
  Fe  Fe15  1  0.499  0.753  0.001  1.0
  Fe  Fe16  1  0.170  0.668  0.834  1.0
  Fe  Fe17  1  0.999  0.500  0.501  1.0
  Fe  Fe18  1  0.496  0.500  0.499  1.0
  Fe  Fe19  1  0.666  0.671  0.834  1.0
  Fe  Fe20  1  0.835  0.330  0.166  1.0
  Sn  Sn21  1  0.444  0.943  0.888  1.0
  Sn  Sn22  1  0.776  0.280  0.557  1.0
  Sn  Sn23  1  0.116  0.610  0.221  1.0
  Sn  Sn24  1  0.999  0.662  0.999  1.0
  Sn  Sn25  1  0.996  0.335  1.000  1.0
  Sn  Sn26  1  0.331  0.169  0.667  1.0
  Sn  Sn27  1  0.224  0.723  0.442  1.0
  Sn  Sn28  1  0.670  0.505  0.333  1.0
  Sn  Sn29  1  0.557  0.055  0.112  1.0
  Sn  Sn30  1  0.889  0.387  0.778  1.0
  Sn  Sn31  1  0.779  0.777  0.554  1.0
  Sn  Sn32  1  0.889  0.886  0.776  1.0
  Sn  Sn33  1  0.113  0.111  0.223  1.0
  Sn  Sn34  1  0.557  0.553  0.110  1.0
  Sn  Sn35  1  0.221  0.223  0.445  1.0
  Sn  Sn36  1  0.671  0.831  0.333  1.0
  Sn  Sn37  1  0.445  0.443  0.888  1.0
  Sn  Sn38  1  0.334  0.496  0.667  1.0
[/CIF]
.