The structure described by Lu5Re2C7 crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one C(3), two equivalent C(1), and two equivalent C(4) atoms to form distorted LuC5 square pyramids that share corners with five equivalent Lu(1)C5 square pyramids, corners with two equivalent Re(1)C4 trigonal pyramids, edges with two equivalent Lu(2)C6 octahedra, edges with four equivalent Lu(1)C5 square pyramids, and edges with two equivalent Re(1)C4 trigonal pyramids. In the second Lu site, Lu(2) is bonded to two equivalent C(1) and four equivalent C(3) atoms to form LuC6 octahedra that share corners with four equivalent Re(1)C4 trigonal pyramids, edges with two equivalent Lu(2)C6 octahedra, edges with eight equivalent Lu(1)C5 square pyramids, and edges with two equivalent Re(1)C4 trigonal pyramids. Re(1) is bonded to two equivalent C(3) and two equivalent C(4) atoms to form distorted ReC4 trigonal pyramids that share corners with two equivalent Lu(2)C6 octahedra, corners with four equivalent Lu(1)C5 square pyramids, corners with four equivalent Re(1)C4 trigonal pyramids,  an edgeedge with one Lu(2)C6 octahedra, and edges with four equivalent Lu(1)C5 square pyramids. The corner-sharing octahedral tilt angles are 8°. There are four inequivalent C sites. In the first C site, C(1) is bonded to one Lu(2), four equivalent Lu(1), and one C(2) atom to form CLu5C octahedra that share corners with two equivalent C(1)Lu5C octahedra, corners with four equivalent C(4)Lu4Re2 octahedra, edges with two equivalent C(4)Lu4Re2 octahedra, edges with two equivalent C(1)Lu5C octahedra, and edges with four equivalent C(3)Lu4Re2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the second C site, C(2) is bonded in a linear geometry to two equivalent C(1) atoms. In the third C site, C(3) is bonded to two equivalent Lu(1), two equivalent Lu(2), and two equivalent Re(1) atoms to form CLu4Re2 octahedra that share corners with two equivalent C(3)Lu4Re2 octahedra, edges with three equivalent C(3)Lu4Re2 octahedra, edges with four equivalent C(4)Lu4Re2 octahedra, and edges with four equivalent C(1)Lu5C octahedra. The corner-sharing octahedra are not tilted. In the fourth C site, C(4) is bonded to four equivalent Lu(1) and two equivalent Re(1) atoms to form CLu4Re2 octahedra that share corners with two equivalent C(4)Lu4Re2 octahedra, corners with four equivalent C(1)Lu5C octahedra, edges with two equivalent C(4)Lu4Re2 octahedra, edges with two equivalent C(1)Lu5C octahedra, and edges with four equivalent C(3)Lu4Re2 octahedra. The corner-sharing octahedral tilt angles range from 2-28°. is represented by the CIF file [CIF]
data_Lu5Re2C7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.105
_cell_length_b   8.105
_cell_length_c   3.330
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   121.665
_symmetry_Int_Tables_number   1
_cell_volume   186.221
_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  0.337  0.078  0.500  1.0
  Lu  Lu1  1  0.663  0.922  0.500  1.0
  Lu  Lu2  1  0.078  0.337  0.500  1.0
  Lu  Lu3  1  0.922  0.663  0.500  1.0
  Lu  Lu4  1  0.500  0.500  0.000  1.0
  Re  Re5  1  0.284  0.716  0.000  1.0
  Re  Re6  1  0.716  0.284  0.000  1.0
  C  C7  1  0.171  0.171  0.000  1.0
  C  C8  1  0.829  0.829  0.000  1.0
  C  C9  1  0.000  0.000  0.000  1.0
  C  C10  1  0.378  0.622  0.500  1.0
  C  C11  1  0.622  0.378  0.500  1.0
  C  C12  1  0.500  0.000  0.000  1.0
  C  C13  1  0.000  0.500  0.000  1.0
[/CIF]
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The structure described by Lu5Re2C7 crystallizes in the orthorhombic Cmmm space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one C(3), two equivalent C(1), and two equivalent C(4) atoms to form distorted LuC5 square pyramids that share corners with five equivalent Lu(1)C5 square pyramids, corners with two equivalent Re(1)C4 trigonal pyramids, edges with two equivalent Lu(2)C6 octahedra, edges with four equivalent Lu(1)C5 square pyramids, and edges with two equivalent Re(1)C4 trigonal pyramids. In the second Lu site, Lu(2) is bonded to two equivalent C(1) and four equivalent C(3) atoms to form LuC6 octahedra that share corners with four equivalent Re(1)C4 trigonal pyramids, edges with two equivalent Lu(2)C6 octahedra, edges with eight equivalent Lu(1)C5 square pyramids, and edges with two equivalent Re(1)C4 trigonal pyramids. Re(1) is bonded to two equivalent C(3) and two equivalent C(4) atoms to form distorted ReC4 trigonal pyramids that share corners with two equivalent Lu(2)C6 octahedra, corners with four equivalent Lu(1)C5 square pyramids, corners with four equivalent Re(1)C4 trigonal pyramids,  an edgeedge with one Lu(2)C6 octahedra, and edges with four equivalent Lu(1)C5 square pyramids. The corner-sharing octahedral tilt angles are 8°. There are four inequivalent C sites. In the first C site, C(1) is bonded to one Lu(2), four equivalent Lu(1), and one C(2) atom to form CLu5C octahedra that share corners with two equivalent C(1)Lu5C octahedra, corners with four equivalent C(4)Lu4Re2 octahedra, edges with two equivalent C(4)Lu4Re2 octahedra, edges with two equivalent C(1)Lu5C octahedra, and edges with four equivalent C(3)Lu4Re2 octahedra. The corner-sharing octahedral tilt angles range from 0-2°. In the second C site, C(2) is bonded in a linear geometry to two equivalent C(1) atoms. In the third C site, C(3) is bonded to two equivalent Lu(1), two equivalent Lu(2), and two equivalent Re(1) atoms to form CLu4Re2 octahedra that share corners with two equivalent C(3)Lu4Re2 octahedra, edges with three equivalent C(3)Lu4Re2 octahedra, edges with four equivalent C(4)Lu4Re2 octahedra, and edges with four equivalent C(1)Lu5C octahedra. The corner-sharing octahedra are not tilted. In the fourth C site, C(4) is bonded to four equivalent Lu(1) and two equivalent Re(1) atoms to form CLu4Re2 octahedra that share corners with two equivalent C(4)Lu4Re2 octahedra, corners with four equivalent C(1)Lu5C octahedra, edges with two equivalent C(4)Lu4Re2 octahedra, edges with two equivalent C(1)Lu5C octahedra, and edges with four equivalent C(3)Lu4Re2 octahedra. The corner-sharing octahedral tilt angles range from 2-28°. is represented by the CIF file [CIF]
data_Lu5Re2C7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.105
_cell_length_b   8.105
_cell_length_c   3.330
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   121.665
_symmetry_Int_Tables_number   1
_cell_volume   186.221
_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  0.337  0.078  0.500  1.0
  Lu  Lu1  1  0.663  0.922  0.500  1.0
  Lu  Lu2  1  0.078  0.337  0.500  1.0
  Lu  Lu3  1  0.922  0.663  0.500  1.0
  Lu  Lu4  1  0.500  0.500  0.000  1.0
  Re  Re5  1  0.284  0.716  0.000  1.0
  Re  Re6  1  0.716  0.284  0.000  1.0
  C  C7  1  0.171  0.171  0.000  1.0
  C  C8  1  0.829  0.829  0.000  1.0
  C  C9  1  0.000  0.000  0.000  1.0
  C  C10  1  0.378  0.622  0.500  1.0
  C  C11  1  0.622  0.378  0.500  1.0
  C  C12  1  0.500  0.000  0.000  1.0
  C  C13  1  0.000  0.500  0.000  1.0
[/CIF]
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