The compound described by Lu5(ReO6)2 crystallizes in the monoclinic C2 space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one O(2), one O(3), one O(4), two equivalent O(5), and two equivalent O(6) atoms to form distorted LuO7 pentagonal bipyramids that share corners with two equivalent Lu(3)O6 octahedra,  an edgeedge with one Lu(3)O6 octahedra,  an edgeedge with one Re(1)O6 octahedra,  an edgeedge with one Re(2)O6 octahedra, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 54-55°. In the second Lu site, Lu(2) is bonded in a 7-coordinate geometry to one O(4), one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms. In the third Lu site, Lu(3) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form LuO6 octahedra that share corners with two equivalent Re(1)O6 octahedra, corners with two equivalent Re(2)O6 octahedra, corners with four equivalent Lu(1)O7 pentagonal bipyramids, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 37-38°. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form ReO6 octahedra that share corners with two equivalent Lu(3)O6 octahedra, edges with two equivalent Re(2)O6 octahedra, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 38°. In the second Re site, Re(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form ReO6 octahedra that share corners with two equivalent Lu(3)O6 octahedra, edges with two equivalent Re(1)O6 octahedra, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 37°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Lu(3), one Re(1), and one Re(2) atom. In the second O site, O(2) is bonded to one Lu(1), two equivalent Lu(2), and one Re(1) atom to form distorted OLu3Re tetrahedra that share  a cornercorner with one O(3)Lu3Re tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with three equivalent O(2)Lu3Re tetrahedra, corners with four equivalent O(6)Lu4 tetrahedra,  a cornercorner with one O(4)Lu2Re2 trigonal pyramid,  an edgeedge with one O(5)Lu4 tetrahedra, edges with two equivalent O(3)Lu3Re tetrahedra, and edges with two equivalent O(4)Lu2Re2 trigonal pyramids. In the third O site, O(3) is bonded to one Lu(1), two equivalent Lu(2), and one Re(2) atom to form distorted OLu3Re tetrahedra that share  a cornercorner with one O(2)Lu3Re tetrahedra, corners with two equivalent O(6)Lu4 tetrahedra, corners with three equivalent O(3)Lu3Re tetrahedra, corners with four equivalent O(5)Lu4 tetrahedra,  a cornercorner with one O(4)Lu2Re2 trigonal pyramid,  an edgeedge with one O(6)Lu4 tetrahedra, edges with two equivalent O(2)Lu3Re tetrahedra, and edges with two equivalent O(4)Lu2Re2 trigonal pyramids. In the fourth O site, O(4) is bonded to one Lu(1), one Lu(2), one Re(1), and one Re(2) atom to form distorted OLu2Re2 trigonal pyramids that share  a cornercorner with one O(2)Lu3Re tetrahedra,  a cornercorner with one O(3)Lu3Re tetrahedra, corners with three equivalent O(5)Lu4 tetrahedra, corners with three equivalent O(6)Lu4 tetrahedra, edges with two equivalent O(2)Lu3Re tetrahedra, edges with two equivalent O(3)Lu3Re tetrahedra, and  an edgeedge with one O(4)Lu2Re2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Lu(2), one Lu(3), and two equivalent Lu(1) atoms to form OLu4 tetrahedra that share  a cornercorner with one O(6)Lu4 tetrahedra, corners with two equivalent O(2)Lu3Re tetrahedra, corners with three equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(3)Lu3Re tetrahedra, corners with three equivalent O(4)Lu2Re2 trigonal pyramids,  an edgeedge with one O(2)Lu3Re tetrahedra, and edges with three equivalent O(6)Lu4 tetrahedra. In the sixth O site, O(6) is bonded to one Lu(2), one Lu(3), and two equivalent Lu(1) atoms to form OLu4 tetrahedra that share  a cornercorner with one O(5)Lu4 tetrahedra, corners with two equivalent O(3)Lu3Re tetrahedra, corners with three equivalent O(6)Lu4 tetrahedra, corners with four equivalent O(2)Lu3Re tetrahedra, corners with three equivalent O(4)Lu2Re2 trigonal pyramids,  an edgeedge with one O(3)Lu3Re tetrahedra, and edges with three equivalent O(5)Lu4 tetrahedra. is represented by the CIF file [CIF]
data_Lu5(ReO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.643
_cell_length_b   6.643
_cell_length_c   7.322
_cell_angle_alpha   73.765
_cell_angle_beta   73.765
_cell_angle_gamma   49.418
_symmetry_Int_Tables_number   1
_cell_volume   233.495
_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  0.701  0.696  0.639  1.0
  Lu  Lu1  1  0.304  0.299  0.361  1.0
  Lu  Lu2  1  0.685  0.686  0.180  1.0
  Lu  Lu3  1  0.314  0.315  0.820  1.0
  Lu  Lu4  1  0.001  0.999  0.500  1.0
  Re  Re5  1  0.783  0.217  1.000  1.0
  Re  Re6  1  0.214  0.786  1.000  1.0
  O  O7  1  0.006  0.001  0.210  1.0
  O  O8  1  0.999  0.994  0.790  1.0
  O  O9  1  0.572  0.088  0.089  1.0
  O  O10  1  0.421  0.914  0.910  1.0
  O  O11  1  0.912  0.428  0.911  1.0
  O  O12  1  0.086  0.579  0.090  1.0
  O  O13  1  0.498  0.501  0.184  1.0
  O  O14  1  0.499  0.502  0.816  1.0
  O  O15  1  0.406  0.899  0.430  1.0
  O  O16  1  0.595  0.098  0.572  1.0
  O  O17  1  0.101  0.594  0.570  1.0
  O  O18  1  0.902  0.405  0.428  1.0
[/CIF]
.
The compound described by Lu5(ReO6)2 crystallizes in the monoclinic C2 space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to one O(2), one O(3), one O(4), two equivalent O(5), and two equivalent O(6) atoms to form distorted LuO7 pentagonal bipyramids that share corners with two equivalent Lu(3)O6 octahedra,  an edgeedge with one Lu(3)O6 octahedra,  an edgeedge with one Re(1)O6 octahedra,  an edgeedge with one Re(2)O6 octahedra, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 54-55°. In the second Lu site, Lu(2) is bonded in a 7-coordinate geometry to one O(4), one O(5), one O(6), two equivalent O(2), and two equivalent O(3) atoms. In the third Lu site, Lu(3) is bonded to two equivalent O(1), two equivalent O(5), and two equivalent O(6) atoms to form LuO6 octahedra that share corners with two equivalent Re(1)O6 octahedra, corners with two equivalent Re(2)O6 octahedra, corners with four equivalent Lu(1)O7 pentagonal bipyramids, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles range from 37-38°. There are two inequivalent Re sites. In the first Re site, Re(1) is bonded to two equivalent O(1), two equivalent O(2), and two equivalent O(4) atoms to form ReO6 octahedra that share corners with two equivalent Lu(3)O6 octahedra, edges with two equivalent Re(2)O6 octahedra, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 38°. In the second Re site, Re(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(4) atoms to form ReO6 octahedra that share corners with two equivalent Lu(3)O6 octahedra, edges with two equivalent Re(1)O6 octahedra, and edges with two equivalent Lu(1)O7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 37°. There are six inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Lu(3), one Re(1), and one Re(2) atom. In the second O site, O(2) is bonded to one Lu(1), two equivalent Lu(2), and one Re(1) atom to form distorted OLu3Re tetrahedra that share  a cornercorner with one O(3)Lu3Re tetrahedra, corners with two equivalent O(5)Lu4 tetrahedra, corners with three equivalent O(2)Lu3Re tetrahedra, corners with four equivalent O(6)Lu4 tetrahedra,  a cornercorner with one O(4)Lu2Re2 trigonal pyramid,  an edgeedge with one O(5)Lu4 tetrahedra, edges with two equivalent O(3)Lu3Re tetrahedra, and edges with two equivalent O(4)Lu2Re2 trigonal pyramids. In the third O site, O(3) is bonded to one Lu(1), two equivalent Lu(2), and one Re(2) atom to form distorted OLu3Re tetrahedra that share  a cornercorner with one O(2)Lu3Re tetrahedra, corners with two equivalent O(6)Lu4 tetrahedra, corners with three equivalent O(3)Lu3Re tetrahedra, corners with four equivalent O(5)Lu4 tetrahedra,  a cornercorner with one O(4)Lu2Re2 trigonal pyramid,  an edgeedge with one O(6)Lu4 tetrahedra, edges with two equivalent O(2)Lu3Re tetrahedra, and edges with two equivalent O(4)Lu2Re2 trigonal pyramids. In the fourth O site, O(4) is bonded to one Lu(1), one Lu(2), one Re(1), and one Re(2) atom to form distorted OLu2Re2 trigonal pyramids that share  a cornercorner with one O(2)Lu3Re tetrahedra,  a cornercorner with one O(3)Lu3Re tetrahedra, corners with three equivalent O(5)Lu4 tetrahedra, corners with three equivalent O(6)Lu4 tetrahedra, edges with two equivalent O(2)Lu3Re tetrahedra, edges with two equivalent O(3)Lu3Re tetrahedra, and  an edgeedge with one O(4)Lu2Re2 trigonal pyramid. In the fifth O site, O(5) is bonded to one Lu(2), one Lu(3), and two equivalent Lu(1) atoms to form OLu4 tetrahedra that share  a cornercorner with one O(6)Lu4 tetrahedra, corners with two equivalent O(2)Lu3Re tetrahedra, corners with three equivalent O(5)Lu4 tetrahedra, corners with four equivalent O(3)Lu3Re tetrahedra, corners with three equivalent O(4)Lu2Re2 trigonal pyramids,  an edgeedge with one O(2)Lu3Re tetrahedra, and edges with three equivalent O(6)Lu4 tetrahedra. In the sixth O site, O(6) is bonded to one Lu(2), one Lu(3), and two equivalent Lu(1) atoms to form OLu4 tetrahedra that share  a cornercorner with one O(5)Lu4 tetrahedra, corners with two equivalent O(3)Lu3Re tetrahedra, corners with three equivalent O(6)Lu4 tetrahedra, corners with four equivalent O(2)Lu3Re tetrahedra, corners with three equivalent O(4)Lu2Re2 trigonal pyramids,  an edgeedge with one O(3)Lu3Re tetrahedra, and edges with three equivalent O(5)Lu4 tetrahedra. is represented by the CIF file [CIF]
data_Lu5(ReO6)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.643
_cell_length_b   6.643
_cell_length_c   7.322
_cell_angle_alpha   73.765
_cell_angle_beta   73.765
_cell_angle_gamma   49.418
_symmetry_Int_Tables_number   1
_cell_volume   233.495
_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  0.701  0.696  0.639  1.0
  Lu  Lu1  1  0.304  0.299  0.361  1.0
  Lu  Lu2  1  0.685  0.686  0.180  1.0
  Lu  Lu3  1  0.314  0.315  0.820  1.0
  Lu  Lu4  1  0.001  0.999  0.500  1.0
  Re  Re5  1  0.783  0.217  1.000  1.0
  Re  Re6  1  0.214  0.786  1.000  1.0
  O  O7  1  0.006  0.001  0.210  1.0
  O  O8  1  0.999  0.994  0.790  1.0
  O  O9  1  0.572  0.088  0.089  1.0
  O  O10  1  0.421  0.914  0.910  1.0
  O  O11  1  0.912  0.428  0.911  1.0
  O  O12  1  0.086  0.579  0.090  1.0
  O  O13  1  0.498  0.501  0.184  1.0
  O  O14  1  0.499  0.502  0.816  1.0
  O  O15  1  0.406  0.899  0.430  1.0
  O  O16  1  0.595  0.098  0.572  1.0
  O  O17  1  0.101  0.594  0.570  1.0
  O  O18  1  0.902  0.405  0.428  1.0
[/CIF]
.