The material described by Er3SmFe34 crystallizes in the hexagonal P-6m2 space group. There are three inequivalent Er sites. In the first Er site, Er(1) is bonded in a 20-coordinate geometry to two equivalent Fe(2), six equivalent Fe(4), six equivalent Fe(5), and six equivalent Fe(6) atoms. In the second Er site, Er(2) is bonded in a 18-coordinate geometry to six equivalent Fe(3), six equivalent Fe(4), and six equivalent Fe(6) atoms. In the third Er site, Er(3) is bonded in a 18-coordinate geometry to six equivalent Fe(3), six equivalent Fe(4), and six equivalent Fe(7) atoms. Sm(1) is bonded in a 20-coordinate geometry to two equivalent Fe(1), six equivalent Fe(3), six equivalent Fe(5), and six equivalent Fe(7) atoms. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a 14-coordinate geometry to one Sm(1), one Fe(1), three equivalent Fe(3), three equivalent Fe(5), and six equivalent Fe(6) atoms. In the second Fe site, Fe(2) is bonded in a 14-coordinate geometry to one Er(1), one Fe(2), three equivalent Fe(4), three equivalent Fe(5), and six equivalent Fe(7) atoms. In the third Fe site, Fe(7) is bonded in a 12-coordinate geometry to one Er(3), one Sm(1), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(5), and two equivalent Fe(7) atoms. In the fourth Fe site, Fe(3) is bonded to one Er(2), one Er(3), one Sm(1), one Fe(1), two equivalent Fe(4), two equivalent Fe(5), two equivalent Fe(6), and two equivalent Fe(7) atoms to form FeSmEr2Fe9 cuboctahedra that share corners with four equivalent Fe(4)Er3Fe9 cuboctahedra, corners with five equivalent Fe(5)SmErFe10 cuboctahedra, corners with six equivalent Fe(3)SmEr2Fe9 cuboctahedra, edges with three equivalent Fe(5)SmErFe10 cuboctahedra, edges with five equivalent Fe(4)Er3Fe9 cuboctahedra, faces with two equivalent Fe(4)Er3Fe9 cuboctahedra, faces with two equivalent Fe(5)SmErFe10 cuboctahedra, and faces with six equivalent Fe(3)SmEr2Fe9 cuboctahedra. In the fifth Fe site, Fe(4) is bonded to one Er(1), one Er(2), one Er(3), one Fe(2), two equivalent Fe(3), two equivalent Fe(5), two equivalent Fe(6), and two equivalent Fe(7) atoms to form distorted FeEr3Fe9 cuboctahedra that share corners with four equivalent Fe(3)SmEr2Fe9 cuboctahedra, corners with five equivalent Fe(5)SmErFe10 cuboctahedra, corners with six equivalent Fe(4)Er3Fe9 cuboctahedra, edges with three equivalent Fe(5)SmErFe10 cuboctahedra, edges with five equivalent Fe(3)SmEr2Fe9 cuboctahedra, faces with two equivalent Fe(3)SmEr2Fe9 cuboctahedra, faces with two equivalent Fe(5)SmErFe10 cuboctahedra, and faces with six equivalent Fe(4)Er3Fe9 cuboctahedra. In the sixth Fe site, Fe(5) is bonded to one Er(1), one Sm(1), one Fe(1), one Fe(2), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(6), and two equivalent Fe(7) atoms to form FeSmErFe10 cuboctahedra that share corners with four equivalent Fe(5)SmErFe10 cuboctahedra, corners with five equivalent Fe(4)Er3Fe9 cuboctahedra, corners with five equivalent Fe(3)SmEr2Fe9 cuboctahedra, edges with three equivalent Fe(4)Er3Fe9 cuboctahedra, edges with three equivalent Fe(3)SmEr2Fe9 cuboctahedra, faces with two equivalent Fe(4)Er3Fe9 cuboctahedra, faces with two equivalent Fe(3)SmEr2Fe9 cuboctahedra, and faces with six equivalent Fe(5)SmErFe10 cuboctahedra. In the seventh Fe site, Fe(6) is bonded in a 12-coordinate geometry to one Er(1), one Er(2), two equivalent Fe(1), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(5), and two equivalent Fe(6) atoms. is represented by the CIF file [CIF]
data_SmEr3Fe34
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.264
_cell_length_b   8.433
_cell_length_c   8.430
_cell_angle_alpha   59.989
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   508.726
_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
  Sm  Sm0  1  0.250  0.667  0.667  1.0
  Er  Er1  1  0.750  0.333  0.333  1.0
  Er  Er2  1  0.750  1.000  0.000  1.0
  Er  Er3  1  0.250  1.000  0.000  1.0
  Fe  Fe4  1  0.609  0.667  0.667  1.0
  Fe  Fe5  1  0.392  0.333  0.333  1.0
  Fe  Fe6  1  0.108  0.333  0.333  1.0
  Fe  Fe7  1  0.891  0.667  0.667  1.0
  Fe  Fe8  1  0.489  0.835  0.835  1.0
  Fe  Fe9  1  0.489  0.835  0.330  1.0
  Fe  Fe10  1  0.489  0.330  0.835  1.0
  Fe  Fe11  1  0.513  0.166  0.166  1.0
  Fe  Fe12  1  0.513  0.166  0.668  1.0
  Fe  Fe13  1  0.513  0.668  0.166  1.0
  Fe  Fe14  1  0.987  0.166  0.166  1.0
  Fe  Fe15  1  0.987  0.166  0.668  1.0
  Fe  Fe16  1  0.987  0.668  0.166  1.0
  Fe  Fe17  1  0.011  0.835  0.835  1.0
  Fe  Fe18  1  0.011  0.835  0.330  1.0
  Fe  Fe19  1  0.011  0.330  0.835  1.0
  Fe  Fe20  1  0.501  0.499  0.499  1.0
  Fe  Fe21  1  0.501  0.499  0.001  1.0
  Fe  Fe22  1  0.501  0.001  0.499  1.0
  Fe  Fe23  1  0.999  0.499  0.499  1.0
  Fe  Fe24  1  0.999  0.499  0.001  1.0
  Fe  Fe25  1  0.999  0.001  0.499  1.0
  Fe  Fe26  1  0.750  0.670  0.363  1.0
  Fe  Fe27  1  0.750  0.363  0.966  1.0
  Fe  Fe28  1  0.750  0.966  0.670  1.0
  Fe  Fe29  1  0.750  0.363  0.670  1.0
  Fe  Fe30  1  0.750  0.966  0.363  1.0
  Fe  Fe31  1  0.750  0.670  0.966  1.0
  Fe  Fe32  1  0.250  0.329  0.635  1.0
  Fe  Fe33  1  0.250  0.635  0.036  1.0
  Fe  Fe34  1  0.250  0.036  0.329  1.0
  Fe  Fe35  1  0.250  0.636  0.329  1.0
  Fe  Fe36  1  0.250  0.036  0.635  1.0
  Fe  Fe37  1  0.250  0.329  0.036  1.0
[/CIF]
.
The material described by Er3SmFe34 crystallizes in the hexagonal P-6m2 space group. There are three inequivalent Er sites. In the first Er site, Er(1) is bonded in a 20-coordinate geometry to two equivalent Fe(2), six equivalent Fe(4), six equivalent Fe(5), and six equivalent Fe(6) atoms. In the second Er site, Er(2) is bonded in a 18-coordinate geometry to six equivalent Fe(3), six equivalent Fe(4), and six equivalent Fe(6) atoms. In the third Er site, Er(3) is bonded in a 18-coordinate geometry to six equivalent Fe(3), six equivalent Fe(4), and six equivalent Fe(7) atoms. Sm(1) is bonded in a 20-coordinate geometry to two equivalent Fe(1), six equivalent Fe(3), six equivalent Fe(5), and six equivalent Fe(7) atoms. There are seven inequivalent Fe sites. In the first Fe site, Fe(1) is bonded in a 14-coordinate geometry to one Sm(1), one Fe(1), three equivalent Fe(3), three equivalent Fe(5), and six equivalent Fe(6) atoms. In the second Fe site, Fe(2) is bonded in a 14-coordinate geometry to one Er(1), one Fe(2), three equivalent Fe(4), three equivalent Fe(5), and six equivalent Fe(7) atoms. In the third Fe site, Fe(7) is bonded in a 12-coordinate geometry to one Er(3), one Sm(1), two equivalent Fe(2), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(5), and two equivalent Fe(7) atoms. In the fourth Fe site, Fe(3) is bonded to one Er(2), one Er(3), one Sm(1), one Fe(1), two equivalent Fe(4), two equivalent Fe(5), two equivalent Fe(6), and two equivalent Fe(7) atoms to form FeSmEr2Fe9 cuboctahedra that share corners with four equivalent Fe(4)Er3Fe9 cuboctahedra, corners with five equivalent Fe(5)SmErFe10 cuboctahedra, corners with six equivalent Fe(3)SmEr2Fe9 cuboctahedra, edges with three equivalent Fe(5)SmErFe10 cuboctahedra, edges with five equivalent Fe(4)Er3Fe9 cuboctahedra, faces with two equivalent Fe(4)Er3Fe9 cuboctahedra, faces with two equivalent Fe(5)SmErFe10 cuboctahedra, and faces with six equivalent Fe(3)SmEr2Fe9 cuboctahedra. In the fifth Fe site, Fe(4) is bonded to one Er(1), one Er(2), one Er(3), one Fe(2), two equivalent Fe(3), two equivalent Fe(5), two equivalent Fe(6), and two equivalent Fe(7) atoms to form distorted FeEr3Fe9 cuboctahedra that share corners with four equivalent Fe(3)SmEr2Fe9 cuboctahedra, corners with five equivalent Fe(5)SmErFe10 cuboctahedra, corners with six equivalent Fe(4)Er3Fe9 cuboctahedra, edges with three equivalent Fe(5)SmErFe10 cuboctahedra, edges with five equivalent Fe(3)SmEr2Fe9 cuboctahedra, faces with two equivalent Fe(3)SmEr2Fe9 cuboctahedra, faces with two equivalent Fe(5)SmErFe10 cuboctahedra, and faces with six equivalent Fe(4)Er3Fe9 cuboctahedra. In the sixth Fe site, Fe(5) is bonded to one Er(1), one Sm(1), one Fe(1), one Fe(2), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(6), and two equivalent Fe(7) atoms to form FeSmErFe10 cuboctahedra that share corners with four equivalent Fe(5)SmErFe10 cuboctahedra, corners with five equivalent Fe(4)Er3Fe9 cuboctahedra, corners with five equivalent Fe(3)SmEr2Fe9 cuboctahedra, edges with three equivalent Fe(4)Er3Fe9 cuboctahedra, edges with three equivalent Fe(3)SmEr2Fe9 cuboctahedra, faces with two equivalent Fe(4)Er3Fe9 cuboctahedra, faces with two equivalent Fe(3)SmEr2Fe9 cuboctahedra, and faces with six equivalent Fe(5)SmErFe10 cuboctahedra. In the seventh Fe site, Fe(6) is bonded in a 12-coordinate geometry to one Er(1), one Er(2), two equivalent Fe(1), two equivalent Fe(3), two equivalent Fe(4), two equivalent Fe(5), and two equivalent Fe(6) atoms. is represented by the CIF file [CIF]
data_SmEr3Fe34
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.264
_cell_length_b   8.433
_cell_length_c   8.430
_cell_angle_alpha   59.989
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   508.726
_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
  Sm  Sm0  1  0.250  0.667  0.667  1.0
  Er  Er1  1  0.750  0.333  0.333  1.0
  Er  Er2  1  0.750  1.000  0.000  1.0
  Er  Er3  1  0.250  1.000  0.000  1.0
  Fe  Fe4  1  0.609  0.667  0.667  1.0
  Fe  Fe5  1  0.392  0.333  0.333  1.0
  Fe  Fe6  1  0.108  0.333  0.333  1.0
  Fe  Fe7  1  0.891  0.667  0.667  1.0
  Fe  Fe8  1  0.489  0.835  0.835  1.0
  Fe  Fe9  1  0.489  0.835  0.330  1.0
  Fe  Fe10  1  0.489  0.330  0.835  1.0
  Fe  Fe11  1  0.513  0.166  0.166  1.0
  Fe  Fe12  1  0.513  0.166  0.668  1.0
  Fe  Fe13  1  0.513  0.668  0.166  1.0
  Fe  Fe14  1  0.987  0.166  0.166  1.0
  Fe  Fe15  1  0.987  0.166  0.668  1.0
  Fe  Fe16  1  0.987  0.668  0.166  1.0
  Fe  Fe17  1  0.011  0.835  0.835  1.0
  Fe  Fe18  1  0.011  0.835  0.330  1.0
  Fe  Fe19  1  0.011  0.330  0.835  1.0
  Fe  Fe20  1  0.501  0.499  0.499  1.0
  Fe  Fe21  1  0.501  0.499  0.001  1.0
  Fe  Fe22  1  0.501  0.001  0.499  1.0
  Fe  Fe23  1  0.999  0.499  0.499  1.0
  Fe  Fe24  1  0.999  0.499  0.001  1.0
  Fe  Fe25  1  0.999  0.001  0.499  1.0
  Fe  Fe26  1  0.750  0.670  0.363  1.0
  Fe  Fe27  1  0.750  0.363  0.966  1.0
  Fe  Fe28  1  0.750  0.966  0.670  1.0
  Fe  Fe29  1  0.750  0.363  0.670  1.0
  Fe  Fe30  1  0.750  0.966  0.363  1.0
  Fe  Fe31  1  0.750  0.670  0.966  1.0
  Fe  Fe32  1  0.250  0.329  0.635  1.0
  Fe  Fe33  1  0.250  0.635  0.036  1.0
  Fe  Fe34  1  0.250  0.036  0.329  1.0
  Fe  Fe35  1  0.250  0.636  0.329  1.0
  Fe  Fe36  1  0.250  0.036  0.635  1.0
  Fe  Fe37  1  0.250  0.329  0.036  1.0
[/CIF]
.