The structure described by Sm5Rh15B4 crystallizes in the tetragonal P4/mmm space group. There are three inequivalent Sm sites. In the first Sm site, Sm(1) is bonded to four equivalent Rh(1), four equivalent Rh(4), and four equivalent Rh(5) atoms to form SmRh12 cuboctahedra that share corners with four equivalent Sm(2)Rh12 cuboctahedra, corners with eight equivalent Sm(1)Rh12 cuboctahedra,  a faceface with one Sm(2)Rh12 cuboctahedra, faces with five equivalent Sm(1)Rh12 cuboctahedra, and faces with four equivalent B(1)Rh6 octahedra. In the second Sm site, Sm(2) is bonded to four equivalent Rh(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form SmRh12 cuboctahedra that share corners with four equivalent Sm(1)Rh12 cuboctahedra, corners with four equivalent Sm(2)Rh12 cuboctahedra, corners with four equivalent Sm(3)Rh12 cuboctahedra,  a faceface with one Sm(1)Rh12 cuboctahedra,  a faceface with one Sm(3)Rh12 cuboctahedra, faces with four equivalent Sm(2)Rh12 cuboctahedra, faces with four equivalent B(1)Rh6 octahedra, and faces with four equivalent B(2)Rh6 octahedra. In the third Sm site, Sm(3) is bonded to four equivalent Rh(3) and eight equivalent Rh(6) atoms to form SmRh12 cuboctahedra that share corners with four equivalent Sm(3)Rh12 cuboctahedra, corners with eight equivalent Sm(2)Rh12 cuboctahedra, faces with two equivalent Sm(2)Rh12 cuboctahedra, faces with four equivalent Sm(3)Rh12 cuboctahedra, and faces with eight equivalent B(2)Rh6 octahedra. There are six inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a distorted single-bond geometry to four equivalent Sm(1) and one B(1) atom. In the second Rh site, Rh(2) is bonded to four equivalent Sm(2), one B(1), and one B(2) atom to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the third Rh site, Rh(3) is bonded to four equivalent Sm(3) and two equivalent B(2) atoms to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. In the fourth Rh site, Rh(4) is bonded in a distorted square co-planar geometry to four equivalent Sm(1) atoms. In the fifth Rh site, Rh(5) is bonded to two equivalent Sm(1), two equivalent Sm(2), and two equivalent B(1) atoms to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the sixth Rh site, Rh(6) is bonded to two equivalent Sm(2), two equivalent Sm(3), and two equivalent B(2) atoms to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. There are two inequivalent B sites. In the first B site, B(1) is bonded to one Rh(1), one Rh(2), and four equivalent Rh(5) atoms to form BRh6 octahedra that share  a cornercorner with one B(2)Rh6 octahedra, corners with four equivalent B(1)Rh6 octahedra, faces with four equivalent Sm(1)Rh12 cuboctahedra, and faces with four equivalent Sm(2)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the second B site, B(2) is bonded to one Rh(2), one Rh(3), and four equivalent Rh(6) atoms to form BRh6 octahedra that share  a cornercorner with one B(1)Rh6 octahedra, corners with five equivalent B(2)Rh6 octahedra, faces with four equivalent Sm(2)Rh12 cuboctahedra, and faces with four equivalent Sm(3)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the CIF file [CIF]
data_Sm5B4Rh15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.250
_cell_length_b   4.250
_cell_length_c   20.703
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   373.895
_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  0.000  0.000  0.904  1.0
  Sm  Sm1  1  0.000  0.000  0.096  1.0
  Sm  Sm2  1  0.000  0.000  0.299  1.0
  Sm  Sm3  1  0.000  0.000  0.500  1.0
  Sm  Sm4  1  0.000  0.000  0.701  1.0
  B  B5  1  0.500  0.500  0.190  1.0
  B  B6  1  0.500  0.500  0.398  1.0
  B  B7  1  0.500  0.500  0.602  1.0
  B  B8  1  0.500  0.500  0.810  1.0
  Rh  Rh9  1  0.500  0.500  0.909  1.0
  Rh  Rh10  1  0.500  0.500  0.091  1.0
  Rh  Rh11  1  0.500  0.500  0.296  1.0
  Rh  Rh12  1  0.500  0.500  0.500  1.0
  Rh  Rh13  1  0.500  0.500  0.704  1.0
  Rh  Rh14  1  0.500  0.000  0.000  1.0
  Rh  Rh15  1  0.500  0.000  0.197  1.0
  Rh  Rh16  1  0.500  0.000  0.399  1.0
  Rh  Rh17  1  0.500  0.000  0.601  1.0
  Rh  Rh18  1  0.500  0.000  0.803  1.0
  Rh  Rh19  1  0.000  0.500  0.000  1.0
  Rh  Rh20  1  0.000  0.500  0.197  1.0
  Rh  Rh21  1  0.000  0.500  0.399  1.0
  Rh  Rh22  1  0.000  0.500  0.601  1.0
  Rh  Rh23  1  0.000  0.500  0.803  1.0
[/CIF]
.
The structure described by Sm5Rh15B4 crystallizes in the tetragonal P4/mmm space group. There are three inequivalent Sm sites. In the first Sm site, Sm(1) is bonded to four equivalent Rh(1), four equivalent Rh(4), and four equivalent Rh(5) atoms to form SmRh12 cuboctahedra that share corners with four equivalent Sm(2)Rh12 cuboctahedra, corners with eight equivalent Sm(1)Rh12 cuboctahedra,  a faceface with one Sm(2)Rh12 cuboctahedra, faces with five equivalent Sm(1)Rh12 cuboctahedra, and faces with four equivalent B(1)Rh6 octahedra. In the second Sm site, Sm(2) is bonded to four equivalent Rh(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form SmRh12 cuboctahedra that share corners with four equivalent Sm(1)Rh12 cuboctahedra, corners with four equivalent Sm(2)Rh12 cuboctahedra, corners with four equivalent Sm(3)Rh12 cuboctahedra,  a faceface with one Sm(1)Rh12 cuboctahedra,  a faceface with one Sm(3)Rh12 cuboctahedra, faces with four equivalent Sm(2)Rh12 cuboctahedra, faces with four equivalent B(1)Rh6 octahedra, and faces with four equivalent B(2)Rh6 octahedra. In the third Sm site, Sm(3) is bonded to four equivalent Rh(3) and eight equivalent Rh(6) atoms to form SmRh12 cuboctahedra that share corners with four equivalent Sm(3)Rh12 cuboctahedra, corners with eight equivalent Sm(2)Rh12 cuboctahedra, faces with two equivalent Sm(2)Rh12 cuboctahedra, faces with four equivalent Sm(3)Rh12 cuboctahedra, and faces with eight equivalent B(2)Rh6 octahedra. There are six inequivalent Rh sites. In the first Rh site, Rh(1) is bonded in a distorted single-bond geometry to four equivalent Sm(1) and one B(1) atom. In the second Rh site, Rh(2) is bonded to four equivalent Sm(2), one B(1), and one B(2) atom to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the third Rh site, Rh(3) is bonded to four equivalent Sm(3) and two equivalent B(2) atoms to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. In the fourth Rh site, Rh(4) is bonded in a distorted square co-planar geometry to four equivalent Sm(1) atoms. In the fifth Rh site, Rh(5) is bonded to two equivalent Sm(1), two equivalent Sm(2), and two equivalent B(1) atoms to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. In the sixth Rh site, Rh(6) is bonded to two equivalent Sm(2), two equivalent Sm(3), and two equivalent B(2) atoms to form a mixture of distorted face, corner, and edge-sharing RhSm4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-61°. There are two inequivalent B sites. In the first B site, B(1) is bonded to one Rh(1), one Rh(2), and four equivalent Rh(5) atoms to form BRh6 octahedra that share  a cornercorner with one B(2)Rh6 octahedra, corners with four equivalent B(1)Rh6 octahedra, faces with four equivalent Sm(1)Rh12 cuboctahedra, and faces with four equivalent Sm(2)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-8°. In the second B site, B(2) is bonded to one Rh(2), one Rh(3), and four equivalent Rh(6) atoms to form BRh6 octahedra that share  a cornercorner with one B(1)Rh6 octahedra, corners with five equivalent B(2)Rh6 octahedra, faces with four equivalent Sm(2)Rh12 cuboctahedra, and faces with four equivalent Sm(3)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the CIF file [CIF]
data_Sm5B4Rh15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.250
_cell_length_b   4.250
_cell_length_c   20.703
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   373.895
_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  0.000  0.000  0.904  1.0
  Sm  Sm1  1  0.000  0.000  0.096  1.0
  Sm  Sm2  1  0.000  0.000  0.299  1.0
  Sm  Sm3  1  0.000  0.000  0.500  1.0
  Sm  Sm4  1  0.000  0.000  0.701  1.0
  B  B5  1  0.500  0.500  0.190  1.0
  B  B6  1  0.500  0.500  0.398  1.0
  B  B7  1  0.500  0.500  0.602  1.0
  B  B8  1  0.500  0.500  0.810  1.0
  Rh  Rh9  1  0.500  0.500  0.909  1.0
  Rh  Rh10  1  0.500  0.500  0.091  1.0
  Rh  Rh11  1  0.500  0.500  0.296  1.0
  Rh  Rh12  1  0.500  0.500  0.500  1.0
  Rh  Rh13  1  0.500  0.500  0.704  1.0
  Rh  Rh14  1  0.500  0.000  0.000  1.0
  Rh  Rh15  1  0.500  0.000  0.197  1.0
  Rh  Rh16  1  0.500  0.000  0.399  1.0
  Rh  Rh17  1  0.500  0.000  0.601  1.0
  Rh  Rh18  1  0.500  0.000  0.803  1.0
  Rh  Rh19  1  0.000  0.500  0.000  1.0
  Rh  Rh20  1  0.000  0.500  0.197  1.0
  Rh  Rh21  1  0.000  0.500  0.399  1.0
  Rh  Rh22  1  0.000  0.500  0.601  1.0
  Rh  Rh23  1  0.000  0.500  0.803  1.0
[/CIF]
.