The structure described by Lu2Co3Al crystallizes in the trigonal R-3m space group. Lu(1) is bonded in a 16-coordinate geometry to four equivalent Lu(1), nine equivalent Co(1), and three equivalent Al(1) atoms. Co(1) is bonded to six equivalent Lu(1), four equivalent Co(1), and two equivalent Al(1) atoms to form distorted CoLu6Al2Co4 cuboctahedra that share corners with four equivalent Al(1)Lu6Co6 cuboctahedra, corners with fourteen equivalent Co(1)Lu6Al2Co4 cuboctahedra, edges with six equivalent Co(1)Lu6Al2Co4 cuboctahedra, faces with six equivalent Al(1)Lu6Co6 cuboctahedra, and faces with twelve equivalent Co(1)Lu6Al2Co4 cuboctahedra. Al(1) is bonded to six equivalent Lu(1) and six equivalent Co(1) atoms to form distorted AlLu6Co6 cuboctahedra that share corners with six equivalent Al(1)Lu6Co6 cuboctahedra, corners with twelve equivalent Co(1)Lu6Al2Co4 cuboctahedra, edges with six equivalent Al(1)Lu6Co6 cuboctahedra, and faces with eighteen equivalent Co(1)Lu6Al2Co4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2AlCo3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.851
_cell_length_b   4.851
_cell_length_c   4.851
_cell_angle_alpha   64.929
_cell_angle_beta   64.930
_cell_angle_gamma   64.928
_symmetry_Int_Tables_number   1
_cell_volume   89.434
_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  0.629  0.629  0.629  1.0
  Lu  Lu1  1  0.371  0.371  0.371  1.0
  Al  Al2  1  0.000  0.000  0.000  1.0
  Co  Co3  1  0.000  0.500  0.000  1.0
  Co  Co4  1  0.500  0.000  0.000  1.0
  Co  Co5  1  0.000  0.000  0.500  1.0
[/CIF]
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The structure described by Lu2Co3Al crystallizes in the trigonal R-3m space group. Lu(1) is bonded in a 16-coordinate geometry to four equivalent Lu(1), nine equivalent Co(1), and three equivalent Al(1) atoms. Co(1) is bonded to six equivalent Lu(1), four equivalent Co(1), and two equivalent Al(1) atoms to form distorted CoLu6Al2Co4 cuboctahedra that share corners with four equivalent Al(1)Lu6Co6 cuboctahedra, corners with fourteen equivalent Co(1)Lu6Al2Co4 cuboctahedra, edges with six equivalent Co(1)Lu6Al2Co4 cuboctahedra, faces with six equivalent Al(1)Lu6Co6 cuboctahedra, and faces with twelve equivalent Co(1)Lu6Al2Co4 cuboctahedra. Al(1) is bonded to six equivalent Lu(1) and six equivalent Co(1) atoms to form distorted AlLu6Co6 cuboctahedra that share corners with six equivalent Al(1)Lu6Co6 cuboctahedra, corners with twelve equivalent Co(1)Lu6Al2Co4 cuboctahedra, edges with six equivalent Al(1)Lu6Co6 cuboctahedra, and faces with eighteen equivalent Co(1)Lu6Al2Co4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_Lu2AlCo3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.851
_cell_length_b   4.851
_cell_length_c   4.851
_cell_angle_alpha   64.929
_cell_angle_beta   64.930
_cell_angle_gamma   64.928
_symmetry_Int_Tables_number   1
_cell_volume   89.434
_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  0.629  0.629  0.629  1.0
  Lu  Lu1  1  0.371  0.371  0.371  1.0
  Al  Al2  1  0.000  0.000  0.000  1.0
  Co  Co3  1  0.000  0.500  0.000  1.0
  Co  Co4  1  0.500  0.000  0.000  1.0
  Co  Co5  1  0.000  0.000  0.500  1.0
[/CIF]
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