The material described by Lu5(Co2Si7)2 crystallizes in the monoclinic P2_1/c space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to two equivalent Co(2), one Si(1), one Si(6), two equivalent Si(4), three equivalent Si(2), and three equivalent Si(7) atoms to form a mixture of distorted corner, face, and edge-sharing LuCo2Si10 cuboctahedra. In the second Lu site, Lu(2) is bonded to two equivalent Co(2), one Si(1), one Si(6), two equivalent Si(5), three equivalent Si(2), and three equivalent Si(7) atoms to form a mixture of distorted corner, face, and edge-sharing LuCo2Si10 cuboctahedra. In the third Lu site, Lu(3) is bonded in a 18-coordinate geometry to two equivalent Co(2), four equivalent Co(1), two equivalent Si(1), two equivalent Si(4), two equivalent Si(5), two equivalent Si(6), and four equivalent Si(3) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 10-coordinate geometry to two equivalent Lu(3), one Co(1), one Si(1), one Si(4), one Si(5), one Si(6), and three equivalent Si(3) atoms. In the second Co site, Co(2) is bonded in a 10-coordinate geometry to one Lu(3), two equivalent Lu(1), two equivalent Lu(2), one Si(1), one Si(2), one Si(4), one Si(5), and one Si(6) atom. There are seven inequivalent Si sites. In the first Si site, Si(6) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Lu(3), one Co(1), one Co(2), one Si(3), one Si(4), and one Si(5) atom. In the second Si site, Si(7) is bonded in a 8-coordinate geometry to three equivalent Lu(1), three equivalent Lu(2), one Si(2), and one Si(7) atom. In the third Si site, Si(1) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Lu(3), one Co(1), one Co(2), one Si(3), one Si(4), and one Si(5) atom. In the fourth Si site, Si(2) is bonded in a 9-coordinate geometry to three equivalent Lu(1), three equivalent Lu(2), one Co(2), one Si(2), and one Si(7) atom. In the fifth Si site, Si(3) is bonded in a 9-coordinate geometry to two equivalent Lu(3), three equivalent Co(1), one Si(1), one Si(4), one Si(5), and one Si(6) atom. In the sixth Si site, Si(4) is bonded in a 8-coordinate geometry to one Lu(3), two equivalent Lu(1), one Co(1), one Co(2), one Si(1), one Si(3), and one Si(6) atom. In the seventh Si site, Si(5) is bonded in a 8-coordinate geometry to one Lu(3), two equivalent Lu(2), one Co(1), one Co(2), one Si(1), one Si(3), and one Si(6) atom. is represented by the CIF card [CIF]
data_Lu5(Co2Si7)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.703
_cell_length_b   7.635
_cell_length_c   12.227
_cell_angle_alpha   81.253
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   710.726
_cell_formula_units_Z   2
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  0.748  0.342  0.636  1.0
  Lu  Lu1  1  0.248  0.158  0.364  1.0
  Lu  Lu2  1  0.752  0.842  0.636  1.0
  Lu  Lu3  1  0.252  0.658  0.364  1.0
  Lu  Lu4  1  0.749  0.160  0.365  1.0
  Lu  Lu5  1  0.249  0.340  0.635  1.0
  Lu  Lu6  1  0.251  0.840  0.635  1.0
  Lu  Lu7  1  0.751  0.660  0.365  1.0
  Lu  Lu8  1  0.000  0.500  0.000  1.0
  Lu  Lu9  1  0.500  0.000  0.000  1.0
  Co  Co10  1  0.872  0.129  0.000  1.0
  Co  Co11  1  0.628  0.629  0.000  1.0
  Co  Co12  1  0.372  0.371  1.000  1.0
  Co  Co13  1  0.128  0.871  1.000  1.0
  Co  Co14  1  0.000  0.561  0.750  1.0
  Co  Co15  1  0.500  0.939  0.250  1.0
  Co  Co16  1  1.000  0.439  0.250  1.0
  Co  Co17  1  0.500  0.061  0.750  1.0
  Si  Si18  1  0.006  0.818  0.822  1.0
  Si  Si19  1  0.999  0.608  0.561  1.0
  Si  Si20  1  0.499  0.892  0.439  1.0
  Si  Si21  1  0.001  0.392  0.439  1.0
  Si  Si22  1  0.664  0.336  1.000  1.0
  Si  Si23  1  0.164  0.164  0.000  1.0
  Si  Si24  1  0.336  0.664  0.000  1.0
  Si  Si25  1  0.836  0.836  1.000  1.0
  Si  Si26  1  0.774  0.050  0.823  1.0
  Si  Si27  1  0.274  0.450  0.177  1.0
  Si  Si28  1  0.226  0.950  0.177  1.0
  Si  Si29  1  0.726  0.550  0.823  1.0
  Si  Si30  1  0.226  0.038  0.822  1.0
  Si  Si31  1  0.726  0.462  0.178  1.0
  Si  Si32  1  0.774  0.962  0.178  1.0
  Si  Si33  1  0.274  0.538  0.822  1.0
  Si  Si34  1  0.994  0.269  0.822  1.0
  Si  Si35  1  0.494  0.231  0.178  1.0
  Si  Si36  1  0.006  0.731  0.178  1.0
  Si  Si37  1  0.506  0.769  0.822  1.0
  Si  Si38  1  0.494  0.318  0.822  1.0
  Si  Si39  1  0.994  0.182  0.178  1.0
  Si  Si40  1  0.506  0.682  0.178  1.0
  Si  Si41  1  1.000  0.113  0.558  1.0
  Si  Si42  1  0.500  0.613  0.558  1.0
  Si  Si43  1  0.000  0.887  0.442  1.0
  Si  Si44  1  0.500  0.387  0.442  1.0
  Si  Si45  1  0.501  0.108  0.561  1.0
[/CIF]
.
The material described by Lu5(Co2Si7)2 crystallizes in the monoclinic P2_1/c space group. There are three inequivalent Lu sites. In the first Lu site, Lu(1) is bonded to two equivalent Co(2), one Si(1), one Si(6), two equivalent Si(4), three equivalent Si(2), and three equivalent Si(7) atoms to form a mixture of distorted corner, face, and edge-sharing LuCo2Si10 cuboctahedra. In the second Lu site, Lu(2) is bonded to two equivalent Co(2), one Si(1), one Si(6), two equivalent Si(5), three equivalent Si(2), and three equivalent Si(7) atoms to form a mixture of distorted corner, face, and edge-sharing LuCo2Si10 cuboctahedra. In the third Lu site, Lu(3) is bonded in a 18-coordinate geometry to two equivalent Co(2), four equivalent Co(1), two equivalent Si(1), two equivalent Si(4), two equivalent Si(5), two equivalent Si(6), and four equivalent Si(3) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 10-coordinate geometry to two equivalent Lu(3), one Co(1), one Si(1), one Si(4), one Si(5), one Si(6), and three equivalent Si(3) atoms. In the second Co site, Co(2) is bonded in a 10-coordinate geometry to one Lu(3), two equivalent Lu(1), two equivalent Lu(2), one Si(1), one Si(2), one Si(4), one Si(5), and one Si(6) atom. There are seven inequivalent Si sites. In the first Si site, Si(6) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Lu(3), one Co(1), one Co(2), one Si(3), one Si(4), and one Si(5) atom. In the second Si site, Si(7) is bonded in a 8-coordinate geometry to three equivalent Lu(1), three equivalent Lu(2), one Si(2), and one Si(7) atom. In the third Si site, Si(1) is bonded in a 8-coordinate geometry to one Lu(1), one Lu(2), one Lu(3), one Co(1), one Co(2), one Si(3), one Si(4), and one Si(5) atom. In the fourth Si site, Si(2) is bonded in a 9-coordinate geometry to three equivalent Lu(1), three equivalent Lu(2), one Co(2), one Si(2), and one Si(7) atom. In the fifth Si site, Si(3) is bonded in a 9-coordinate geometry to two equivalent Lu(3), three equivalent Co(1), one Si(1), one Si(4), one Si(5), and one Si(6) atom. In the sixth Si site, Si(4) is bonded in a 8-coordinate geometry to one Lu(3), two equivalent Lu(1), one Co(1), one Co(2), one Si(1), one Si(3), and one Si(6) atom. In the seventh Si site, Si(5) is bonded in a 8-coordinate geometry to one Lu(3), two equivalent Lu(2), one Co(1), one Co(2), one Si(1), one Si(3), and one Si(6) atom. is represented by the CIF card [CIF]
data_Lu5(Co2Si7)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.703
_cell_length_b   7.635
_cell_length_c   12.227
_cell_angle_alpha   81.253
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   710.726
_cell_formula_units_Z   2
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  0.748  0.342  0.636  1.0
  Lu  Lu1  1  0.248  0.158  0.364  1.0
  Lu  Lu2  1  0.752  0.842  0.636  1.0
  Lu  Lu3  1  0.252  0.658  0.364  1.0
  Lu  Lu4  1  0.749  0.160  0.365  1.0
  Lu  Lu5  1  0.249  0.340  0.635  1.0
  Lu  Lu6  1  0.251  0.840  0.635  1.0
  Lu  Lu7  1  0.751  0.660  0.365  1.0
  Lu  Lu8  1  0.000  0.500  0.000  1.0
  Lu  Lu9  1  0.500  0.000  0.000  1.0
  Co  Co10  1  0.872  0.129  0.000  1.0
  Co  Co11  1  0.628  0.629  0.000  1.0
  Co  Co12  1  0.372  0.371  1.000  1.0
  Co  Co13  1  0.128  0.871  1.000  1.0
  Co  Co14  1  0.000  0.561  0.750  1.0
  Co  Co15  1  0.500  0.939  0.250  1.0
  Co  Co16  1  1.000  0.439  0.250  1.0
  Co  Co17  1  0.500  0.061  0.750  1.0
  Si  Si18  1  0.006  0.818  0.822  1.0
  Si  Si19  1  0.999  0.608  0.561  1.0
  Si  Si20  1  0.499  0.892  0.439  1.0
  Si  Si21  1  0.001  0.392  0.439  1.0
  Si  Si22  1  0.664  0.336  1.000  1.0
  Si  Si23  1  0.164  0.164  0.000  1.0
  Si  Si24  1  0.336  0.664  0.000  1.0
  Si  Si25  1  0.836  0.836  1.000  1.0
  Si  Si26  1  0.774  0.050  0.823  1.0
  Si  Si27  1  0.274  0.450  0.177  1.0
  Si  Si28  1  0.226  0.950  0.177  1.0
  Si  Si29  1  0.726  0.550  0.823  1.0
  Si  Si30  1  0.226  0.038  0.822  1.0
  Si  Si31  1  0.726  0.462  0.178  1.0
  Si  Si32  1  0.774  0.962  0.178  1.0
  Si  Si33  1  0.274  0.538  0.822  1.0
  Si  Si34  1  0.994  0.269  0.822  1.0
  Si  Si35  1  0.494  0.231  0.178  1.0
  Si  Si36  1  0.006  0.731  0.178  1.0
  Si  Si37  1  0.506  0.769  0.822  1.0
  Si  Si38  1  0.494  0.318  0.822  1.0
  Si  Si39  1  0.994  0.182  0.178  1.0
  Si  Si40  1  0.506  0.682  0.178  1.0
  Si  Si41  1  1.000  0.113  0.558  1.0
  Si  Si42  1  0.500  0.613  0.558  1.0
  Si  Si43  1  0.000  0.887  0.442  1.0
  Si  Si44  1  0.500  0.387  0.442  1.0
  Si  Si45  1  0.501  0.108  0.561  1.0
[/CIF]
.