The crystal structure described by Lu2Co7 crystallizes in the trigonal R-3m space group. There are six inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4); and six equivalent Co(5) atoms. In the second Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4,4); and six equivalent Co(5) atoms. In the third Lu site, Lu(2) is bonded in a 12-coordinate geometry to three equivalent Co(1) and nine equivalent Co(5) atoms. In the fourth Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4,4); and six equivalent Co(5) atoms. In the fifth Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4); and six equivalent Co(5) atoms. In the sixth Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4); and six equivalent Co(5) atoms. There are nine inequivalent Co sites. In the first Co site, Co(4) is bonded to four Lu(1,1); two equivalent Co(2); two equivalent Co(3); and four Co(4,4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra; corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra; edges with two equivalent Co(4)Lu4Co8 cuboctahedra; edges with eight equivalent Co(5)Lu5Co7 cuboctahedra; faces with two equivalent Co(5)Lu5Co7 cuboctahedra; and faces with eight Co(4,4)Lu4Co8 cuboctahedra. In the second Co site, Co(4) is bonded to four Lu(1,1); two equivalent Co(2); two equivalent Co(3); and four Co(4,4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra; corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra; edges with two equivalent Co(4)Lu4Co8 cuboctahedra; edges with eight equivalent Co(5)Lu5Co7 cuboctahedra; faces with two equivalent Co(5)Lu5Co7 cuboctahedra; and faces with eight Co(4,4)Lu4Co8 cuboctahedra. In the third Co site, Co(1) is bonded to six equivalent Lu(2) and six equivalent Co(5) atoms to form CoLu6Co6 cuboctahedra that share corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra, edges with six equivalent Co(1)Lu6Co6 cuboctahedra, and faces with eighteen equivalent Co(5)Lu5Co7 cuboctahedra. In the fourth Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Lu(1); three Co(4,4,4); and three equivalent Co(5) atoms. In the fifth Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Lu(1); three Co(4,4); and three equivalent Co(5) atoms. In the sixth Co site, Co(4) is bonded to four Lu(1,1); two equivalent Co(2); two equivalent Co(3); and four equivalent Co(4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra, corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra, edges with two equivalent Co(4)Lu4Co8 cuboctahedra, edges with eight equivalent Co(5)Lu5Co7 cuboctahedra, faces with two equivalent Co(5)Lu5Co7 cuboctahedra, and faces with eight equivalent Co(4)Lu4Co8 cuboctahedra. In the seventh Co site, Co(4) is bonded to four equivalent Lu(1), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra, corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra, edges with two equivalent Co(4)Lu4Co8 cuboctahedra, edges with eight equivalent Co(5)Lu5Co7 cuboctahedra, faces with two equivalent Co(5)Lu5Co7 cuboctahedra, and faces with eight equivalent Co(4)Lu4Co8 cuboctahedra. In the eighth Co site, Co(4) is bonded to four equivalent Lu(1); two equivalent Co(2); two equivalent Co(3); and four Co(4,4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra; corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra; edges with two equivalent Co(4)Lu4Co8 cuboctahedra; edges with eight equivalent Co(5)Lu5Co7 cuboctahedra; faces with two equivalent Co(5)Lu5Co7 cuboctahedra; and faces with eight Co(4,4)Lu4Co8 cuboctahedra. In the ninth Co site, Co(5) is bonded to two equivalent Lu(1), three equivalent Lu(2), one Co(1), one Co(2), one Co(3), and four equivalent Co(5) atoms to form distorted CoLu5Co7 cuboctahedra that share corners with two equivalent Co(1)Lu6Co6 cuboctahedra; corners with six Co(4,4)Lu4Co8 cuboctahedra; corners with nine equivalent Co(5)Lu5Co7 cuboctahedra; edges with four Co(4,4)Lu4Co8 cuboctahedra; edges with four equivalent Co(5)Lu5Co7 cuboctahedra;  a faceface with one Co(4)Lu4Co8 cuboctahedra; faces with three equivalent Co(1)Lu6Co6 cuboctahedra; and faces with ten equivalent Co(5)Lu5Co7 cuboctahedra. is represented by the CIF card [CIF]
data_Lu2Co7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.904
_cell_length_b   4.904
_cell_length_c   12.293
_cell_angle_alpha   78.494
_cell_angle_beta   78.494
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   249.135
_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  0.948  0.948  0.156  1.0
  Lu  Lu1  1  0.052  0.052  0.844  1.0
  Lu  Lu2  1  0.852  0.852  0.444  1.0
  Lu  Lu3  1  0.148  0.148  0.556  1.0
  Co  Co4  1  0.500  0.500  0.500  1.0
  Co  Co5  1  0.722  0.722  0.834  1.0
  Co  Co6  1  0.278  0.278  0.166  1.0
  Co  Co7  1  0.611  0.611  0.167  1.0
  Co  Co8  1  0.389  0.389  0.833  1.0
  Co  Co9  1  0.000  0.500  0.000  1.0
  Co  Co10  1  0.500  0.000  0.000  1.0
  Co  Co11  1  0.500  0.500  0.000  1.0
  Co  Co12  1  0.389  0.389  0.331  1.0
  Co  Co13  1  0.891  0.389  0.331  1.0
  Co  Co14  1  0.389  0.891  0.331  1.0
  Co  Co15  1  0.611  0.611  0.669  1.0
  Co  Co16  1  0.109  0.611  0.669  1.0
  Co  Co17  1  0.611  0.109  0.669  1.0
[/CIF]
.
The crystal structure described by Lu2Co7 crystallizes in the trigonal R-3m space group. There are six inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4); and six equivalent Co(5) atoms. In the second Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4,4); and six equivalent Co(5) atoms. In the third Lu site, Lu(2) is bonded in a 12-coordinate geometry to three equivalent Co(1) and nine equivalent Co(5) atoms. In the fourth Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4,4); and six equivalent Co(5) atoms. In the fifth Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4); and six equivalent Co(5) atoms. In the sixth Lu site, Lu(1) is bonded in a 6-coordinate geometry to three equivalent Co(2); three equivalent Co(3); six Co(4,4); and six equivalent Co(5) atoms. There are nine inequivalent Co sites. In the first Co site, Co(4) is bonded to four Lu(1,1); two equivalent Co(2); two equivalent Co(3); and four Co(4,4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra; corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra; edges with two equivalent Co(4)Lu4Co8 cuboctahedra; edges with eight equivalent Co(5)Lu5Co7 cuboctahedra; faces with two equivalent Co(5)Lu5Co7 cuboctahedra; and faces with eight Co(4,4)Lu4Co8 cuboctahedra. In the second Co site, Co(4) is bonded to four Lu(1,1); two equivalent Co(2); two equivalent Co(3); and four Co(4,4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra; corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra; edges with two equivalent Co(4)Lu4Co8 cuboctahedra; edges with eight equivalent Co(5)Lu5Co7 cuboctahedra; faces with two equivalent Co(5)Lu5Co7 cuboctahedra; and faces with eight Co(4,4)Lu4Co8 cuboctahedra. In the third Co site, Co(1) is bonded to six equivalent Lu(2) and six equivalent Co(5) atoms to form CoLu6Co6 cuboctahedra that share corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra, edges with six equivalent Co(1)Lu6Co6 cuboctahedra, and faces with eighteen equivalent Co(5)Lu5Co7 cuboctahedra. In the fourth Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Lu(1); three Co(4,4,4); and three equivalent Co(5) atoms. In the fifth Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Lu(1); three Co(4,4); and three equivalent Co(5) atoms. In the sixth Co site, Co(4) is bonded to four Lu(1,1); two equivalent Co(2); two equivalent Co(3); and four equivalent Co(4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra, corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra, edges with two equivalent Co(4)Lu4Co8 cuboctahedra, edges with eight equivalent Co(5)Lu5Co7 cuboctahedra, faces with two equivalent Co(5)Lu5Co7 cuboctahedra, and faces with eight equivalent Co(4)Lu4Co8 cuboctahedra. In the seventh Co site, Co(4) is bonded to four equivalent Lu(1), two equivalent Co(2), two equivalent Co(3), and four equivalent Co(4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra, corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra, edges with two equivalent Co(4)Lu4Co8 cuboctahedra, edges with eight equivalent Co(5)Lu5Co7 cuboctahedra, faces with two equivalent Co(5)Lu5Co7 cuboctahedra, and faces with eight equivalent Co(4)Lu4Co8 cuboctahedra. In the eighth Co site, Co(4) is bonded to four equivalent Lu(1); two equivalent Co(2); two equivalent Co(3); and four Co(4,4) atoms to form CoLu4Co8 cuboctahedra that share corners with four equivalent Co(4)Lu4Co8 cuboctahedra; corners with twelve equivalent Co(5)Lu5Co7 cuboctahedra; edges with two equivalent Co(4)Lu4Co8 cuboctahedra; edges with eight equivalent Co(5)Lu5Co7 cuboctahedra; faces with two equivalent Co(5)Lu5Co7 cuboctahedra; and faces with eight Co(4,4)Lu4Co8 cuboctahedra. In the ninth Co site, Co(5) is bonded to two equivalent Lu(1), three equivalent Lu(2), one Co(1), one Co(2), one Co(3), and four equivalent Co(5) atoms to form distorted CoLu5Co7 cuboctahedra that share corners with two equivalent Co(1)Lu6Co6 cuboctahedra; corners with six Co(4,4)Lu4Co8 cuboctahedra; corners with nine equivalent Co(5)Lu5Co7 cuboctahedra; edges with four Co(4,4)Lu4Co8 cuboctahedra; edges with four equivalent Co(5)Lu5Co7 cuboctahedra;  a faceface with one Co(4)Lu4Co8 cuboctahedra; faces with three equivalent Co(1)Lu6Co6 cuboctahedra; and faces with ten equivalent Co(5)Lu5Co7 cuboctahedra. is represented by the CIF card [CIF]
data_Lu2Co7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.904
_cell_length_b   4.904
_cell_length_c   12.293
_cell_angle_alpha   78.494
_cell_angle_beta   78.494
_cell_angle_gamma   60.000
_symmetry_Int_Tables_number   1
_cell_volume   249.135
_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  0.948  0.948  0.156  1.0
  Lu  Lu1  1  0.052  0.052  0.844  1.0
  Lu  Lu2  1  0.852  0.852  0.444  1.0
  Lu  Lu3  1  0.148  0.148  0.556  1.0
  Co  Co4  1  0.500  0.500  0.500  1.0
  Co  Co5  1  0.722  0.722  0.834  1.0
  Co  Co6  1  0.278  0.278  0.166  1.0
  Co  Co7  1  0.611  0.611  0.167  1.0
  Co  Co8  1  0.389  0.389  0.833  1.0
  Co  Co9  1  0.000  0.500  0.000  1.0
  Co  Co10  1  0.500  0.000  0.000  1.0
  Co  Co11  1  0.500  0.500  0.000  1.0
  Co  Co12  1  0.389  0.389  0.331  1.0
  Co  Co13  1  0.891  0.389  0.331  1.0
  Co  Co14  1  0.389  0.891  0.331  1.0
  Co  Co15  1  0.611  0.611  0.669  1.0
  Co  Co16  1  0.109  0.611  0.669  1.0
  Co  Co17  1  0.611  0.109  0.669  1.0
[/CIF]
.