The material structure described by LaCo2Zn is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 12-coordinate geometry to nine equivalent Co(1) and three equivalent Zn(3) atoms. In the second La site, La(2) is bonded in a 18-coordinate geometry to twelve equivalent Co(1), three equivalent Zn(1), and three equivalent Zn(2) atoms. Co(1) is bonded to two equivalent La(2), three equivalent La(1), four equivalent Co(1), one Zn(1), one Zn(2), and one Zn(3) atom to form distorted CoLa5Zn3Co4 cuboctahedra that share corners with two equivalent Zn(3)La6Co6 cuboctahedra, corners with fifteen equivalent Co(1)La5Zn3Co4 cuboctahedra, edges with eight equivalent Co(1)La5Zn3Co4 cuboctahedra, faces with three equivalent Zn(3)La6Co6 cuboctahedra, and faces with eleven equivalent Co(1)La5Zn3Co4 cuboctahedra. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a 9-coordinate geometry to three equivalent La(2) and six equivalent Co(1) atoms. In the second Zn site, Zn(2) is bonded in a 9-coordinate geometry to three equivalent La(2) and six equivalent Co(1) atoms. In the third Zn site, Zn(3) is bonded to six equivalent La(1) and six equivalent Co(1) atoms to form ZnLa6Co6 cuboctahedra that share corners with twelve equivalent Co(1)La5Zn3Co4 cuboctahedra, edges with six equivalent Zn(3)La6Co6 cuboctahedra, and faces with eighteen equivalent Co(1)La5Zn3Co4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LaZnCo2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.200
_cell_length_b   5.200
_cell_length_c   16.671
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   390.465
_cell_formula_units_Z   6
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
  La  La0  1  0.667  0.333  0.453  1.0
  La  La1  1  0.333  0.667  0.547  1.0
  La  La2  1  0.333  0.667  0.953  1.0
  La  La3  1  0.667  0.333  0.047  1.0
  La  La4  1  0.667  0.333  0.250  1.0
  La  La5  1  0.333  0.667  0.750  1.0
  Zn  Zn6  1  0.000  0.000  0.750  1.0
  Zn  Zn7  1  0.000  0.000  0.250  1.0
  Zn  Zn8  1  0.667  0.333  0.750  1.0
  Zn  Zn9  1  0.333  0.667  0.250  1.0
  Zn  Zn10  1  0.000  0.000  0.000  1.0
  Zn  Zn11  1  0.000  0.000  0.500  1.0
  Co  Co12  1  0.833  0.167  0.872  1.0
  Co  Co13  1  0.167  0.833  0.128  1.0
  Co  Co14  1  0.333  0.167  0.872  1.0
  Co  Co15  1  0.167  0.833  0.372  1.0
  Co  Co16  1  0.667  0.833  0.128  1.0
  Co  Co17  1  0.833  0.167  0.628  1.0
  Co  Co18  1  0.833  0.667  0.872  1.0
  Co  Co19  1  0.667  0.833  0.372  1.0
  Co  Co20  1  0.167  0.333  0.128  1.0
  Co  Co21  1  0.333  0.167  0.628  1.0
  Co  Co22  1  0.167  0.333  0.372  1.0
  Co  Co23  1  0.833  0.667  0.628  1.0
[/CIF]
.
The material structure described by LaCo2Zn is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 12-coordinate geometry to nine equivalent Co(1) and three equivalent Zn(3) atoms. In the second La site, La(2) is bonded in a 18-coordinate geometry to twelve equivalent Co(1), three equivalent Zn(1), and three equivalent Zn(2) atoms. Co(1) is bonded to two equivalent La(2), three equivalent La(1), four equivalent Co(1), one Zn(1), one Zn(2), and one Zn(3) atom to form distorted CoLa5Zn3Co4 cuboctahedra that share corners with two equivalent Zn(3)La6Co6 cuboctahedra, corners with fifteen equivalent Co(1)La5Zn3Co4 cuboctahedra, edges with eight equivalent Co(1)La5Zn3Co4 cuboctahedra, faces with three equivalent Zn(3)La6Co6 cuboctahedra, and faces with eleven equivalent Co(1)La5Zn3Co4 cuboctahedra. There are three inequivalent Zn sites. In the first Zn site, Zn(1) is bonded in a 9-coordinate geometry to three equivalent La(2) and six equivalent Co(1) atoms. In the second Zn site, Zn(2) is bonded in a 9-coordinate geometry to three equivalent La(2) and six equivalent Co(1) atoms. In the third Zn site, Zn(3) is bonded to six equivalent La(1) and six equivalent Co(1) atoms to form ZnLa6Co6 cuboctahedra that share corners with twelve equivalent Co(1)La5Zn3Co4 cuboctahedra, edges with six equivalent Zn(3)La6Co6 cuboctahedra, and faces with eighteen equivalent Co(1)La5Zn3Co4 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_LaZnCo2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.200
_cell_length_b   5.200
_cell_length_c   16.671
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   390.465
_cell_formula_units_Z   6
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
  La  La0  1  0.667  0.333  0.453  1.0
  La  La1  1  0.333  0.667  0.547  1.0
  La  La2  1  0.333  0.667  0.953  1.0
  La  La3  1  0.667  0.333  0.047  1.0
  La  La4  1  0.667  0.333  0.250  1.0
  La  La5  1  0.333  0.667  0.750  1.0
  Zn  Zn6  1  0.000  0.000  0.750  1.0
  Zn  Zn7  1  0.000  0.000  0.250  1.0
  Zn  Zn8  1  0.667  0.333  0.750  1.0
  Zn  Zn9  1  0.333  0.667  0.250  1.0
  Zn  Zn10  1  0.000  0.000  0.000  1.0
  Zn  Zn11  1  0.000  0.000  0.500  1.0
  Co  Co12  1  0.833  0.167  0.872  1.0
  Co  Co13  1  0.167  0.833  0.128  1.0
  Co  Co14  1  0.333  0.167  0.872  1.0
  Co  Co15  1  0.167  0.833  0.372  1.0
  Co  Co16  1  0.667  0.833  0.128  1.0
  Co  Co17  1  0.833  0.167  0.628  1.0
  Co  Co18  1  0.833  0.667  0.872  1.0
  Co  Co19  1  0.667  0.833  0.372  1.0
  Co  Co20  1  0.167  0.333  0.128  1.0
  Co  Co21  1  0.333  0.167  0.628  1.0
  Co  Co22  1  0.167  0.333  0.372  1.0
  Co  Co23  1  0.833  0.667  0.628  1.0
[/CIF]
.