The material structure described by TaVCo is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Ta sites. In the first Ta site, Ta(1) is bonded in a 16-coordinate geometry to one Ta(1); three Ta(2,2); one V(3); two equivalent V(1); two equivalent V(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the second Ta site, Ta(2) is bonded in a 16-coordinate geometry to one Ta(2); three Ta(1,1); one V(1); two equivalent V(3); four equivalent V(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the third Ta site, Ta(1) is bonded in a 16-coordinate geometry to one Ta(1), three equivalent Ta(2), one V(3), two equivalent V(1), two equivalent V(2), three equivalent Co(1), and four equivalent Co(2) atoms. In the fourth Ta site, Ta(1) is bonded in a 16-coordinate geometry to one Ta(1); three Ta(2,2); one V(3); two equivalent V(1); two equivalent V(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the fifth Ta site, Ta(2) is bonded in a 16-coordinate geometry to one Ta(2); three Ta(1,1); one V(1); two equivalent V(3); four equivalent V(2); two equivalent Co(2); and three equivalent Co(1) atoms. There are three inequivalent V sites. In the first V site, V(1) is bonded to two equivalent Ta(2); four Ta(1,1); two equivalent Co(1); and four equivalent Co(2) atoms to form distorted VTa6Co6 cuboctahedra that share corners with two equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent V(1)Ta6Co6 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with eight equivalent V(2)Ta6V4Co2 cuboctahedra, edges with two equivalent V(1)Ta6Co6 cuboctahedra, edges with four equivalent V(3)Ta6V4Co2 cuboctahedra, faces with four equivalent V(2)Ta6V4Co2 cuboctahedra, faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra, and faces with eight equivalent Co(2)Ta6V2Co4 cuboctahedra. In the second V site, V(2) is bonded to two Ta(1,1); four Ta(2,2); two equivalent V(2); two equivalent V(3); and two equivalent Co(1) atoms to form distorted VTa6V4Co2 cuboctahedra that share corners with four equivalent V(1)Ta6Co6 cuboctahedra, corners with four equivalent V(2)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with six equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with two equivalent V(2)Ta6V4Co2 cuboctahedra, edges with four equivalent Co(2)Ta6V2Co4 cuboctahedra, faces with two equivalent V(1)Ta6Co6 cuboctahedra, faces with two equivalent Co(2)Ta6V2Co4 cuboctahedra, faces with four equivalent V(2)Ta6V4Co2 cuboctahedra, faces with four equivalent V(3)Ta6V4Co2 cuboctahedra, and faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra. In the third V site, V(3) is bonded to two Ta(1,1); four Ta(2,2); four equivalent V(2); and two equivalent Co(1) atoms to form distorted VTa6V4Co2 cuboctahedra that share corners with two equivalent V(1)Ta6Co6 cuboctahedra, corners with four equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with eight equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with two equivalent V(3)Ta6V4Co2 cuboctahedra, edges with four equivalent V(1)Ta6Co6 cuboctahedra, faces with four equivalent Co(2)Ta6V2Co4 cuboctahedra, faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra, and faces with eight equivalent V(2)Ta6V4Co2 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three Ta(1,1); three Ta(2,2); one V(1); one V(3); two equivalent V(2); and two equivalent Co(2) atoms to form CoTa6V4Co2 cuboctahedra that share corners with two equivalent V(1)Ta6Co6 cuboctahedra, corners with two equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent V(2)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with six equivalent Co(1)Ta6V4Co2 cuboctahedra, faces with two equivalent Co(1)Ta6V4Co2 cuboctahedra, faces with three equivalent V(1)Ta6Co6 cuboctahedra, faces with three equivalent V(3)Ta6V4Co2 cuboctahedra, faces with six equivalent V(2)Ta6V4Co2 cuboctahedra, and faces with six equivalent Co(2)Ta6V2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two equivalent Ta(2); four Ta(1,1,1); two equivalent V(1); two equivalent Co(1); and two equivalent Co(2) atoms to form distorted CoTa6V2Co4 cuboctahedra that share corners with four equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(2)Ta6V2Co4 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with six equivalent V(2)Ta6V4Co2 cuboctahedra, edges with two equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with four equivalent V(2)Ta6V4Co2 cuboctahedra, faces with two equivalent V(2)Ta6V4Co2 cuboctahedra, faces with two equivalent V(3)Ta6V4Co2 cuboctahedra, faces with four equivalent V(1)Ta6Co6 cuboctahedra, faces with four equivalent Co(2)Ta6V2Co4 cuboctahedra, and faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_TaVCo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.830
_cell_length_b   4.830
_cell_length_c   8.090
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.301
_symmetry_Int_Tables_number   1
_cell_volume   166.145
_cell_formula_units_Z   4
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
  Ta  Ta0  1  0.330  0.670  0.183  1.0
  Ta  Ta1  1  0.663  0.337  0.307  1.0
  Ta  Ta2  1  0.663  0.337  0.693  1.0
  Ta  Ta3  1  0.330  0.670  0.817  1.0
  V  V4  1  0.834  0.166  0.000  1.0
  V  V5  1  0.167  0.339  0.500  1.0
  V  V6  1  0.661  0.833  0.500  1.0
  V  V7  1  0.172  0.828  0.500  1.0
  Co  Co8  1  0.000  1.000  0.242  1.0
  Co  Co9  1  0.000  1.000  0.758  1.0
  Co  Co10  1  0.837  0.657  0.000  1.0
  Co  Co11  1  0.343  0.163  0.000  1.0
[/CIF]
.
The material structure described by TaVCo is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are five inequivalent Ta sites. In the first Ta site, Ta(1) is bonded in a 16-coordinate geometry to one Ta(1); three Ta(2,2); one V(3); two equivalent V(1); two equivalent V(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the second Ta site, Ta(2) is bonded in a 16-coordinate geometry to one Ta(2); three Ta(1,1); one V(1); two equivalent V(3); four equivalent V(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the third Ta site, Ta(1) is bonded in a 16-coordinate geometry to one Ta(1), three equivalent Ta(2), one V(3), two equivalent V(1), two equivalent V(2), three equivalent Co(1), and four equivalent Co(2) atoms. In the fourth Ta site, Ta(1) is bonded in a 16-coordinate geometry to one Ta(1); three Ta(2,2); one V(3); two equivalent V(1); two equivalent V(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the fifth Ta site, Ta(2) is bonded in a 16-coordinate geometry to one Ta(2); three Ta(1,1); one V(1); two equivalent V(3); four equivalent V(2); two equivalent Co(2); and three equivalent Co(1) atoms. There are three inequivalent V sites. In the first V site, V(1) is bonded to two equivalent Ta(2); four Ta(1,1); two equivalent Co(1); and four equivalent Co(2) atoms to form distorted VTa6Co6 cuboctahedra that share corners with two equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent V(1)Ta6Co6 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with eight equivalent V(2)Ta6V4Co2 cuboctahedra, edges with two equivalent V(1)Ta6Co6 cuboctahedra, edges with four equivalent V(3)Ta6V4Co2 cuboctahedra, faces with four equivalent V(2)Ta6V4Co2 cuboctahedra, faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra, and faces with eight equivalent Co(2)Ta6V2Co4 cuboctahedra. In the second V site, V(2) is bonded to two Ta(1,1); four Ta(2,2); two equivalent V(2); two equivalent V(3); and two equivalent Co(1) atoms to form distorted VTa6V4Co2 cuboctahedra that share corners with four equivalent V(1)Ta6Co6 cuboctahedra, corners with four equivalent V(2)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with six equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with two equivalent V(2)Ta6V4Co2 cuboctahedra, edges with four equivalent Co(2)Ta6V2Co4 cuboctahedra, faces with two equivalent V(1)Ta6Co6 cuboctahedra, faces with two equivalent Co(2)Ta6V2Co4 cuboctahedra, faces with four equivalent V(2)Ta6V4Co2 cuboctahedra, faces with four equivalent V(3)Ta6V4Co2 cuboctahedra, and faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra. In the third V site, V(3) is bonded to two Ta(1,1); four Ta(2,2); four equivalent V(2); and two equivalent Co(1) atoms to form distorted VTa6V4Co2 cuboctahedra that share corners with two equivalent V(1)Ta6Co6 cuboctahedra, corners with four equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with eight equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with two equivalent V(3)Ta6V4Co2 cuboctahedra, edges with four equivalent V(1)Ta6Co6 cuboctahedra, faces with four equivalent Co(2)Ta6V2Co4 cuboctahedra, faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra, and faces with eight equivalent V(2)Ta6V4Co2 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three Ta(1,1); three Ta(2,2); one V(1); one V(3); two equivalent V(2); and two equivalent Co(2) atoms to form CoTa6V4Co2 cuboctahedra that share corners with two equivalent V(1)Ta6Co6 cuboctahedra, corners with two equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent V(2)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with six equivalent Co(1)Ta6V4Co2 cuboctahedra, faces with two equivalent Co(1)Ta6V4Co2 cuboctahedra, faces with three equivalent V(1)Ta6Co6 cuboctahedra, faces with three equivalent V(3)Ta6V4Co2 cuboctahedra, faces with six equivalent V(2)Ta6V4Co2 cuboctahedra, and faces with six equivalent Co(2)Ta6V2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two equivalent Ta(2); four Ta(1,1,1); two equivalent V(1); two equivalent Co(1); and two equivalent Co(2) atoms to form distorted CoTa6V2Co4 cuboctahedra that share corners with four equivalent V(3)Ta6V4Co2 cuboctahedra, corners with four equivalent Co(2)Ta6V2Co4 cuboctahedra, corners with four equivalent Co(1)Ta6V4Co2 cuboctahedra, corners with six equivalent V(2)Ta6V4Co2 cuboctahedra, edges with two equivalent Co(2)Ta6V2Co4 cuboctahedra, edges with four equivalent V(2)Ta6V4Co2 cuboctahedra, faces with two equivalent V(2)Ta6V4Co2 cuboctahedra, faces with two equivalent V(3)Ta6V4Co2 cuboctahedra, faces with four equivalent V(1)Ta6Co6 cuboctahedra, faces with four equivalent Co(2)Ta6V2Co4 cuboctahedra, and faces with six equivalent Co(1)Ta6V4Co2 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_TaVCo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.830
_cell_length_b   4.830
_cell_length_c   8.090
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.301
_symmetry_Int_Tables_number   1
_cell_volume   166.145
_cell_formula_units_Z   4
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
  Ta  Ta0  1  0.330  0.670  0.183  1.0
  Ta  Ta1  1  0.663  0.337  0.307  1.0
  Ta  Ta2  1  0.663  0.337  0.693  1.0
  Ta  Ta3  1  0.330  0.670  0.817  1.0
  V  V4  1  0.834  0.166  0.000  1.0
  V  V5  1  0.167  0.339  0.500  1.0
  V  V6  1  0.661  0.833  0.500  1.0
  V  V7  1  0.172  0.828  0.500  1.0
  Co  Co8  1  0.000  1.000  0.242  1.0
  Co  Co9  1  0.000  1.000  0.758  1.0
  Co  Co10  1  0.837  0.657  0.000  1.0
  Co  Co11  1  0.343  0.163  0.000  1.0
[/CIF]
.