The structure described by Lu4Rh7Ge6 crystallizes in the cubic Im-3m space group. Lu(1) is bonded to six equivalent Rh(1) and six equivalent Ge(1) atoms to form LuGe6Rh6 cuboctahedra that share corners with twelve equivalent Lu(1)Ge6Rh6 cuboctahedra, faces with six equivalent Lu(1)Ge6Rh6 cuboctahedra, and faces with two equivalent Rh(2)Ge6 octahedra. There are two inequivalent Rh sites. In the first Rh site, Rh(2) is bonded to six equivalent Ge(1) atoms to form RhGe6 octahedra that share faces with eight equivalent Lu(1)Ge6Rh6 cuboctahedra. In the second Rh site, Rh(1) is bonded in a 8-coordinate geometry to four equivalent Lu(1) and four equivalent Ge(1) atoms. Ge(1) is bonded in a 9-coordinate geometry to four equivalent Lu(1), one Rh(2), and four equivalent Rh(1) atoms. is represented by the CIF card [CIF]
data_Lu4Ge6Rh7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.142
_cell_length_b   7.142
_cell_length_c   7.142
_cell_angle_alpha   109.471
_cell_angle_beta   109.471
_cell_angle_gamma   109.471
_symmetry_Int_Tables_number   1
_cell_volume   280.458
_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
  Lu  Lu0  1  0.000  0.000  0.500  1.0
  Lu  Lu1  1  0.000  0.500  0.000  1.0
  Lu  Lu2  1  0.500  0.000  0.000  1.0
  Lu  Lu3  1  0.500  0.500  0.500  1.0
  Ge  Ge4  1  0.000  0.681  0.681  1.0
  Ge  Ge5  1  0.319  0.319  0.000  1.0
  Ge  Ge6  1  0.681  0.681  0.000  1.0
  Ge  Ge7  1  0.681  0.000  0.681  1.0
  Ge  Ge8  1  0.319  0.000  0.319  1.0
  Ge  Ge9  1  0.000  0.319  0.319  1.0
  Rh  Rh10  1  0.500  0.750  0.250  1.0
  Rh  Rh11  1  0.250  0.500  0.750  1.0
  Rh  Rh12  1  0.750  0.250  0.500  1.0
  Rh  Rh13  1  0.250  0.750  0.500  1.0
  Rh  Rh14  1  0.500  0.250  0.750  1.0
  Rh  Rh15  1  0.750  0.500  0.250  1.0
  Rh  Rh16  1  0.000  0.000  0.000  1.0
[/CIF]
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The structure described by Lu4Rh7Ge6 crystallizes in the cubic Im-3m space group. Lu(1) is bonded to six equivalent Rh(1) and six equivalent Ge(1) atoms to form LuGe6Rh6 cuboctahedra that share corners with twelve equivalent Lu(1)Ge6Rh6 cuboctahedra, faces with six equivalent Lu(1)Ge6Rh6 cuboctahedra, and faces with two equivalent Rh(2)Ge6 octahedra. There are two inequivalent Rh sites. In the first Rh site, Rh(2) is bonded to six equivalent Ge(1) atoms to form RhGe6 octahedra that share faces with eight equivalent Lu(1)Ge6Rh6 cuboctahedra. In the second Rh site, Rh(1) is bonded in a 8-coordinate geometry to four equivalent Lu(1) and four equivalent Ge(1) atoms. Ge(1) is bonded in a 9-coordinate geometry to four equivalent Lu(1), one Rh(2), and four equivalent Rh(1) atoms. is represented by the CIF card [CIF]
data_Lu4Ge6Rh7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.142
_cell_length_b   7.142
_cell_length_c   7.142
_cell_angle_alpha   109.471
_cell_angle_beta   109.471
_cell_angle_gamma   109.471
_symmetry_Int_Tables_number   1
_cell_volume   280.458
_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
  Lu  Lu0  1  0.000  0.000  0.500  1.0
  Lu  Lu1  1  0.000  0.500  0.000  1.0
  Lu  Lu2  1  0.500  0.000  0.000  1.0
  Lu  Lu3  1  0.500  0.500  0.500  1.0
  Ge  Ge4  1  0.000  0.681  0.681  1.0
  Ge  Ge5  1  0.319  0.319  0.000  1.0
  Ge  Ge6  1  0.681  0.681  0.000  1.0
  Ge  Ge7  1  0.681  0.000  0.681  1.0
  Ge  Ge8  1  0.319  0.000  0.319  1.0
  Ge  Ge9  1  0.000  0.319  0.319  1.0
  Rh  Rh10  1  0.500  0.750  0.250  1.0
  Rh  Rh11  1  0.250  0.500  0.750  1.0
  Rh  Rh12  1  0.750  0.250  0.500  1.0
  Rh  Rh13  1  0.250  0.750  0.500  1.0
  Rh  Rh14  1  0.500  0.250  0.750  1.0
  Rh  Rh15  1  0.750  0.500  0.250  1.0
  Rh  Rh16  1  0.000  0.000  0.000  1.0
[/CIF]
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