The compound described by U5Rh15B4 crystallizes in the tetragonal P4/mmm space group. There are three inequivalent U sites. In the first U site, U(1) is bonded to four equivalent Rh(1), four equivalent Rh(4), and four equivalent Rh(5) atoms to form URh12 cuboctahedra that share corners with four equivalent U(2)Rh12 cuboctahedra, corners with eight equivalent U(1)Rh12 cuboctahedra,  a faceface with one U(2)Rh12 cuboctahedra, faces with five equivalent U(1)Rh12 cuboctahedra, and faces with four equivalent B(1)Rh6 octahedra. In the second U site, U(2) is bonded to four equivalent Rh(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form URh12 cuboctahedra that share corners with four equivalent U(1)Rh12 cuboctahedra, corners with four equivalent U(2)Rh12 cuboctahedra, corners with four equivalent U(3)Rh12 cuboctahedra,  a faceface with one U(1)Rh12 cuboctahedra,  a faceface with one U(3)Rh12 cuboctahedra, faces with four equivalent U(2)Rh12 cuboctahedra, faces with four equivalent B(1)Rh6 octahedra, and faces with four equivalent B(2)Rh6 octahedra. In the third U site, U(3) is bonded to four equivalent Rh(3) and eight equivalent Rh(6) atoms to form URh12 cuboctahedra that share corners with four equivalent U(3)Rh12 cuboctahedra, corners with eight equivalent U(2)Rh12 cuboctahedra, faces with two equivalent U(2)Rh12 cuboctahedra, faces with four equivalent U(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 U(1) and one B(1) atom. In the second Rh site, Rh(2) is bonded to four equivalent U(2), one B(1), and one B(2) atom to form a mixture of distorted corner, edge, and face-sharing RhU4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. In the third Rh site, Rh(3) is bonded to four equivalent U(3) and two equivalent B(2) atoms to form a mixture of distorted corner, edge, and face-sharing RhU4B2 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 U(1) atoms. In the fifth Rh site, Rh(5) is bonded to two equivalent U(1), two equivalent U(2), and two equivalent B(1) atoms to form a mixture of distorted corner, edge, and face-sharing RhU4B2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the sixth Rh site, Rh(6) is bonded to two equivalent U(2), two equivalent U(3), and two equivalent B(2) atoms to form a mixture of distorted corner, edge, and face-sharing RhU4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. 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 U(1)Rh12 cuboctahedra, and faces with four equivalent U(2)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. 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 U(2)Rh12 cuboctahedra, and faces with four equivalent U(3)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the Crystallographic Information File (CIF) [CIF]
data_U5B4Rh15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.217
_cell_length_b   4.217
_cell_length_c   20.795
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   369.748
_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
  U  U0  1  0.000  0.000  0.908  1.0
  U  U1  1  0.000  0.000  0.092  1.0
  U  U2  1  0.000  0.000  0.297  1.0
  U  U3  1  0.000  0.000  0.500  1.0
  U  U4  1  0.000  0.000  0.703  1.0
  B  B5  1  0.500  0.500  0.189  1.0
  B  B6  1  0.500  0.500  0.397  1.0
  B  B7  1  0.500  0.500  0.603  1.0
  B  B8  1  0.500  0.500  0.811  1.0
  Rh  Rh9  1  0.500  0.500  0.908  1.0
  Rh  Rh10  1  0.500  0.500  0.092  1.0
  Rh  Rh11  1  0.500  0.500  0.295  1.0
  Rh  Rh12  1  0.500  0.500  0.500  1.0
  Rh  Rh13  1  0.500  0.500  0.705  1.0
  Rh  Rh14  1  0.500  0.000  0.000  1.0
  Rh  Rh15  1  0.500  0.000  0.196  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  0.804  1.0
  Rh  Rh19  1  0.000  0.500  0.000  1.0
  Rh  Rh20  1  0.000  0.500  0.196  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  0.804  1.0
[/CIF]
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The compound described by U5Rh15B4 crystallizes in the tetragonal P4/mmm space group. There are three inequivalent U sites. In the first U site, U(1) is bonded to four equivalent Rh(1), four equivalent Rh(4), and four equivalent Rh(5) atoms to form URh12 cuboctahedra that share corners with four equivalent U(2)Rh12 cuboctahedra, corners with eight equivalent U(1)Rh12 cuboctahedra,  a faceface with one U(2)Rh12 cuboctahedra, faces with five equivalent U(1)Rh12 cuboctahedra, and faces with four equivalent B(1)Rh6 octahedra. In the second U site, U(2) is bonded to four equivalent Rh(2), four equivalent Rh(5), and four equivalent Rh(6) atoms to form URh12 cuboctahedra that share corners with four equivalent U(1)Rh12 cuboctahedra, corners with four equivalent U(2)Rh12 cuboctahedra, corners with four equivalent U(3)Rh12 cuboctahedra,  a faceface with one U(1)Rh12 cuboctahedra,  a faceface with one U(3)Rh12 cuboctahedra, faces with four equivalent U(2)Rh12 cuboctahedra, faces with four equivalent B(1)Rh6 octahedra, and faces with four equivalent B(2)Rh6 octahedra. In the third U site, U(3) is bonded to four equivalent Rh(3) and eight equivalent Rh(6) atoms to form URh12 cuboctahedra that share corners with four equivalent U(3)Rh12 cuboctahedra, corners with eight equivalent U(2)Rh12 cuboctahedra, faces with two equivalent U(2)Rh12 cuboctahedra, faces with four equivalent U(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 U(1) and one B(1) atom. In the second Rh site, Rh(2) is bonded to four equivalent U(2), one B(1), and one B(2) atom to form a mixture of distorted corner, edge, and face-sharing RhU4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. In the third Rh site, Rh(3) is bonded to four equivalent U(3) and two equivalent B(2) atoms to form a mixture of distorted corner, edge, and face-sharing RhU4B2 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 U(1) atoms. In the fifth Rh site, Rh(5) is bonded to two equivalent U(1), two equivalent U(2), and two equivalent B(1) atoms to form a mixture of distorted corner, edge, and face-sharing RhU4B2 octahedra. The corner-sharing octahedral tilt angles range from 1-60°. In the sixth Rh site, Rh(6) is bonded to two equivalent U(2), two equivalent U(3), and two equivalent B(2) atoms to form a mixture of distorted corner, edge, and face-sharing RhU4B2 octahedra. The corner-sharing octahedral tilt angles range from 0-60°. 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 U(1)Rh12 cuboctahedra, and faces with four equivalent U(2)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-9°. 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 U(2)Rh12 cuboctahedra, and faces with four equivalent U(3)Rh12 cuboctahedra. The corner-sharing octahedral tilt angles range from 0-2°. is represented by the Crystallographic Information File (CIF) [CIF]
data_U5B4Rh15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.217
_cell_length_b   4.217
_cell_length_c   20.795
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   369.748
_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
  U  U0  1  0.000  0.000  0.908  1.0
  U  U1  1  0.000  0.000  0.092  1.0
  U  U2  1  0.000  0.000  0.297  1.0
  U  U3  1  0.000  0.000  0.500  1.0
  U  U4  1  0.000  0.000  0.703  1.0
  B  B5  1  0.500  0.500  0.189  1.0
  B  B6  1  0.500  0.500  0.397  1.0
  B  B7  1  0.500  0.500  0.603  1.0
  B  B8  1  0.500  0.500  0.811  1.0
  Rh  Rh9  1  0.500  0.500  0.908  1.0
  Rh  Rh10  1  0.500  0.500  0.092  1.0
  Rh  Rh11  1  0.500  0.500  0.295  1.0
  Rh  Rh12  1  0.500  0.500  0.500  1.0
  Rh  Rh13  1  0.500  0.500  0.705  1.0
  Rh  Rh14  1  0.500  0.000  0.000  1.0
  Rh  Rh15  1  0.500  0.000  0.196  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  0.804  1.0
  Rh  Rh19  1  0.000  0.500  0.000  1.0
  Rh  Rh20  1  0.000  0.500  0.196  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  0.804  1.0
[/CIF]
.