The material described by La6Co13Tl crystallizes in the tetragonal I4/mcm space group. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 13-coordinate geometry to four equivalent Co(2), four equivalent Co(3), four equivalent Co(4), and one Tl(1) atom. In the second La site, La(2) is bonded in a 6-coordinate geometry to one Co(3), three equivalent Co(4), and two equivalent Tl(1) atoms. There are four inequivalent Co sites. In the first Co site, Co(3) is bonded to one La(2), two equivalent La(1), one Co(1), one Co(3), three equivalent Co(4), and four equivalent Co(2) atoms to form distorted CoLa3Co9 cuboctahedra that share corners with five equivalent Co(4)La5Co7 cuboctahedra, corners with seven equivalent Co(3)La3Co9 cuboctahedra, edges with four equivalent Co(2)La2Co10 cuboctahedra, faces with two equivalent Co(1)Co12 cuboctahedra, faces with six equivalent Co(2)La2Co10 cuboctahedra, faces with six equivalent Co(3)La3Co9 cuboctahedra, and faces with six equivalent Co(4)La5Co7 cuboctahedra. In the second Co site, Co(4) is bonded to two equivalent La(1), three equivalent La(2), one Co(1), one Co(4), two equivalent Co(2), and three equivalent Co(3) atoms to form distorted CoLa5Co7 cuboctahedra that share  a cornercorner with one Co(1)Co12 cuboctahedra, corners with three equivalent Co(4)La5Co7 cuboctahedra, corners with four equivalent Co(2)La2Co10 cuboctahedra, corners with five equivalent Co(3)La3Co9 cuboctahedra,  a faceface with one Co(1)Co12 cuboctahedra, faces with six equivalent Co(3)La3Co9 cuboctahedra, faces with six equivalent Co(4)La5Co7 cuboctahedra, and faces with eight equivalent Co(2)La2Co10 cuboctahedra. In the third Co site, Co(1) is bonded to four equivalent Co(2), four equivalent Co(3), and four equivalent Co(4) atoms to form CoCo12 cuboctahedra that share corners with four equivalent Co(2)La2Co10 cuboctahedra, corners with four equivalent Co(4)La5Co7 cuboctahedra, faces with four equivalent Co(4)La5Co7 cuboctahedra, faces with eight equivalent Co(2)La2Co10 cuboctahedra, and faces with eight equivalent Co(3)La3Co9 cuboctahedra. In the fourth Co site, Co(2) is bonded to two equivalent La(1), one Co(1), two equivalent Co(4), three equivalent Co(2), and four equivalent Co(3) atoms to form CoLa2Co10 cuboctahedra that share  a cornercorner with one Co(1)Co12 cuboctahedra, corners with three equivalent Co(2)La2Co10 cuboctahedra, corners with four equivalent Co(4)La5Co7 cuboctahedra, edges with four equivalent Co(3)La3Co9 cuboctahedra, faces with two equivalent Co(1)Co12 cuboctahedra, faces with six equivalent Co(3)La3Co9 cuboctahedra, faces with seven equivalent Co(2)La2Co10 cuboctahedra, and faces with eight equivalent Co(4)La5Co7 cuboctahedra. Tl(1) is bonded in a distorted q6 geometry to two equivalent La(1) and eight equivalent La(2) atoms. is represented by the CIF file [CIF]
data_La6TlCo13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.074
_cell_length_b   8.074
_cell_length_c   13.014
_cell_angle_alpha   108.071
_cell_angle_beta   108.071
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   762.402
_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
  La  La0  1  0.599  0.599  0.197  1.0
  La  La1  1  0.099  0.099  0.197  1.0
  La  La2  1  0.401  0.401  0.803  1.0
  La  La3  1  0.901  0.901  0.803  1.0
  La  La4  1  0.985  0.485  0.645  1.0
  La  La5  1  0.661  0.161  0.645  1.0
  La  La6  1  0.161  0.985  0.645  1.0
  La  La7  1  0.485  0.661  0.645  1.0
  La  La8  1  0.015  0.515  0.355  1.0
  La  La9  1  0.339  0.839  0.355  1.0
  La  La10  1  0.839  0.015  0.355  1.0
  La  La11  1  0.515  0.339  0.355  1.0
  Tl  Tl12  1  0.250  0.250  0.500  1.0
  Tl  Tl13  1  0.750  0.750  0.500  1.0
  Co  Co14  1  0.000  0.500  0.000  1.0
  Co  Co15  1  0.500  0.000  0.000  1.0
  Co  Co16  1  0.714  0.565  0.000  1.0
  Co  Co17  1  0.286  0.435  0.000  1.0
  Co  Co18  1  0.786  0.065  0.000  1.0
  Co  Co19  1  0.214  0.935  0.000  1.0
  Co  Co20  1  0.565  0.286  0.000  1.0
  Co  Co21  1  0.435  0.714  0.000  1.0
  Co  Co22  1  0.065  0.214  0.000  1.0
  Co  Co23  1  0.935  0.786  0.000  1.0
  Co  Co24  1  0.122  0.622  0.890  1.0
  Co  Co25  1  0.769  0.269  0.890  1.0
  Co  Co26  1  0.269  0.122  0.890  1.0
  Co  Co27  1  0.622  0.769  0.890  1.0
  Co  Co28  1  0.878  0.378  0.110  1.0
  Co  Co29  1  0.231  0.731  0.110  1.0
  Co  Co30  1  0.731  0.878  0.110  1.0
  Co  Co31  1  0.378  0.231  0.110  1.0
  Co  Co32  1  0.299  0.799  0.825  1.0
  Co  Co33  1  0.526  0.026  0.825  1.0
  Co  Co34  1  0.026  0.299  0.825  1.0
  Co  Co35  1  0.799  0.526  0.825  1.0
  Co  Co36  1  0.701  0.201  0.175  1.0
  Co  Co37  1  0.474  0.974  0.175  1.0
  Co  Co38  1  0.974  0.701  0.175  1.0
  Co  Co39  1  0.201  0.474  0.175  1.0
[/CIF]
.
The material described by La6Co13Tl crystallizes in the tetragonal I4/mcm space group. There are two inequivalent La sites. In the first La site, La(1) is bonded in a 13-coordinate geometry to four equivalent Co(2), four equivalent Co(3), four equivalent Co(4), and one Tl(1) atom. In the second La site, La(2) is bonded in a 6-coordinate geometry to one Co(3), three equivalent Co(4), and two equivalent Tl(1) atoms. There are four inequivalent Co sites. In the first Co site, Co(3) is bonded to one La(2), two equivalent La(1), one Co(1), one Co(3), three equivalent Co(4), and four equivalent Co(2) atoms to form distorted CoLa3Co9 cuboctahedra that share corners with five equivalent Co(4)La5Co7 cuboctahedra, corners with seven equivalent Co(3)La3Co9 cuboctahedra, edges with four equivalent Co(2)La2Co10 cuboctahedra, faces with two equivalent Co(1)Co12 cuboctahedra, faces with six equivalent Co(2)La2Co10 cuboctahedra, faces with six equivalent Co(3)La3Co9 cuboctahedra, and faces with six equivalent Co(4)La5Co7 cuboctahedra. In the second Co site, Co(4) is bonded to two equivalent La(1), three equivalent La(2), one Co(1), one Co(4), two equivalent Co(2), and three equivalent Co(3) atoms to form distorted CoLa5Co7 cuboctahedra that share  a cornercorner with one Co(1)Co12 cuboctahedra, corners with three equivalent Co(4)La5Co7 cuboctahedra, corners with four equivalent Co(2)La2Co10 cuboctahedra, corners with five equivalent Co(3)La3Co9 cuboctahedra,  a faceface with one Co(1)Co12 cuboctahedra, faces with six equivalent Co(3)La3Co9 cuboctahedra, faces with six equivalent Co(4)La5Co7 cuboctahedra, and faces with eight equivalent Co(2)La2Co10 cuboctahedra. In the third Co site, Co(1) is bonded to four equivalent Co(2), four equivalent Co(3), and four equivalent Co(4) atoms to form CoCo12 cuboctahedra that share corners with four equivalent Co(2)La2Co10 cuboctahedra, corners with four equivalent Co(4)La5Co7 cuboctahedra, faces with four equivalent Co(4)La5Co7 cuboctahedra, faces with eight equivalent Co(2)La2Co10 cuboctahedra, and faces with eight equivalent Co(3)La3Co9 cuboctahedra. In the fourth Co site, Co(2) is bonded to two equivalent La(1), one Co(1), two equivalent Co(4), three equivalent Co(2), and four equivalent Co(3) atoms to form CoLa2Co10 cuboctahedra that share  a cornercorner with one Co(1)Co12 cuboctahedra, corners with three equivalent Co(2)La2Co10 cuboctahedra, corners with four equivalent Co(4)La5Co7 cuboctahedra, edges with four equivalent Co(3)La3Co9 cuboctahedra, faces with two equivalent Co(1)Co12 cuboctahedra, faces with six equivalent Co(3)La3Co9 cuboctahedra, faces with seven equivalent Co(2)La2Co10 cuboctahedra, and faces with eight equivalent Co(4)La5Co7 cuboctahedra. Tl(1) is bonded in a distorted q6 geometry to two equivalent La(1) and eight equivalent La(2) atoms. is represented by the CIF file [CIF]
data_La6TlCo13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.074
_cell_length_b   8.074
_cell_length_c   13.014
_cell_angle_alpha   108.071
_cell_angle_beta   108.071
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   762.402
_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
  La  La0  1  0.599  0.599  0.197  1.0
  La  La1  1  0.099  0.099  0.197  1.0
  La  La2  1  0.401  0.401  0.803  1.0
  La  La3  1  0.901  0.901  0.803  1.0
  La  La4  1  0.985  0.485  0.645  1.0
  La  La5  1  0.661  0.161  0.645  1.0
  La  La6  1  0.161  0.985  0.645  1.0
  La  La7  1  0.485  0.661  0.645  1.0
  La  La8  1  0.015  0.515  0.355  1.0
  La  La9  1  0.339  0.839  0.355  1.0
  La  La10  1  0.839  0.015  0.355  1.0
  La  La11  1  0.515  0.339  0.355  1.0
  Tl  Tl12  1  0.250  0.250  0.500  1.0
  Tl  Tl13  1  0.750  0.750  0.500  1.0
  Co  Co14  1  0.000  0.500  0.000  1.0
  Co  Co15  1  0.500  0.000  0.000  1.0
  Co  Co16  1  0.714  0.565  0.000  1.0
  Co  Co17  1  0.286  0.435  0.000  1.0
  Co  Co18  1  0.786  0.065  0.000  1.0
  Co  Co19  1  0.214  0.935  0.000  1.0
  Co  Co20  1  0.565  0.286  0.000  1.0
  Co  Co21  1  0.435  0.714  0.000  1.0
  Co  Co22  1  0.065  0.214  0.000  1.0
  Co  Co23  1  0.935  0.786  0.000  1.0
  Co  Co24  1  0.122  0.622  0.890  1.0
  Co  Co25  1  0.769  0.269  0.890  1.0
  Co  Co26  1  0.269  0.122  0.890  1.0
  Co  Co27  1  0.622  0.769  0.890  1.0
  Co  Co28  1  0.878  0.378  0.110  1.0
  Co  Co29  1  0.231  0.731  0.110  1.0
  Co  Co30  1  0.731  0.878  0.110  1.0
  Co  Co31  1  0.378  0.231  0.110  1.0
  Co  Co32  1  0.299  0.799  0.825  1.0
  Co  Co33  1  0.526  0.026  0.825  1.0
  Co  Co34  1  0.026  0.299  0.825  1.0
  Co  Co35  1  0.799  0.526  0.825  1.0
  Co  Co36  1  0.701  0.201  0.175  1.0
  Co  Co37  1  0.474  0.974  0.175  1.0
  Co  Co38  1  0.974  0.701  0.175  1.0
  Co  Co39  1  0.201  0.474  0.175  1.0
[/CIF]
.