The compound described by VCoAl is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are three inequivalent V sites. In the first V site, V(1) is bonded in a 6-coordinate geometry to two equivalent Co(1), four equivalent Co(2), two equivalent Al(2), and four equivalent Al(1) atoms. In the second V site, V(2) is bonded in a 12-coordinate geometry to two equivalent V(2), two equivalent V(3), two equivalent Co(1), two equivalent Al(1), and four equivalent Al(2) atoms. In the third V site, V(3) is bonded in a 12-coordinate geometry to four equivalent V(2), two equivalent Co(1), two equivalent Al(1), and four equivalent Al(2) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one V(1), one V(3), two equivalent V(2), two equivalent Co(2), three equivalent Al(1), and three equivalent Al(2) atoms to form distorted CoAl6V4Co2 cuboctahedra that share corners with four equivalent Co(2)Al6V2Co4 cuboctahedra, edges with six equivalent Co(1)Al6V4Co2 cuboctahedra, faces with two equivalent Co(1)Al6V4Co2 cuboctahedra, and faces with six equivalent Co(2)Al6V2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two equivalent V(1), two equivalent Co(1), two equivalent Co(2), two equivalent Al(2), and four equivalent Al(1) atoms to form distorted CoAl6V2Co4 cuboctahedra that share corners with four equivalent Co(2)Al6V2Co4 cuboctahedra, corners with four equivalent Co(1)Al6V4Co2 cuboctahedra, edges with two equivalent Co(2)Al6V2Co4 cuboctahedra, faces with four equivalent Co(2)Al6V2Co4 cuboctahedra, and faces with six equivalent Co(1)Al6V4Co2 cuboctahedra. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded in a 16-coordinate geometry to one V(3), two equivalent V(1), two equivalent V(2), three equivalent Co(1), four equivalent Co(2), one Al(1), and three equivalent Al(2) atoms. In the second Al site, Al(2) is bonded in a 15-coordinate geometry to one V(1), two equivalent V(3), four equivalent V(2), two equivalent Co(2), three equivalent Co(1), and three equivalent Al(1) atoms. is represented by the CIF file [CIF]
data_AlVCo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.654
_cell_length_b   4.654
_cell_length_c   8.023
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   116.769
_symmetry_Int_Tables_number   1
_cell_volume   155.130
_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
  Al  Al0  1  0.672  0.328  0.323  1.0
  Al  Al1  1  0.338  0.662  0.207  1.0
  Al  Al2  1  0.338  0.662  0.793  1.0
  Al  Al3  1  0.672  0.328  0.677  1.0
  V  V4  1  0.160  0.840  0.500  1.0
  V  V5  1  0.342  0.175  0.000  1.0
  V  V6  1  0.825  0.658  0.000  1.0
  V  V7  1  0.831  0.169  0.000  1.0
  Co  Co8  1  0.007  0.993  0.254  1.0
  Co  Co9  1  0.007  0.993  0.746  1.0
  Co  Co10  1  0.646  0.841  0.500  1.0
  Co  Co11  1  0.159  0.354  0.500  1.0
[/CIF]
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The compound described by VCoAl is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are three inequivalent V sites. In the first V site, V(1) is bonded in a 6-coordinate geometry to two equivalent Co(1), four equivalent Co(2), two equivalent Al(2), and four equivalent Al(1) atoms. In the second V site, V(2) is bonded in a 12-coordinate geometry to two equivalent V(2), two equivalent V(3), two equivalent Co(1), two equivalent Al(1), and four equivalent Al(2) atoms. In the third V site, V(3) is bonded in a 12-coordinate geometry to four equivalent V(2), two equivalent Co(1), two equivalent Al(1), and four equivalent Al(2) atoms. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one V(1), one V(3), two equivalent V(2), two equivalent Co(2), three equivalent Al(1), and three equivalent Al(2) atoms to form distorted CoAl6V4Co2 cuboctahedra that share corners with four equivalent Co(2)Al6V2Co4 cuboctahedra, edges with six equivalent Co(1)Al6V4Co2 cuboctahedra, faces with two equivalent Co(1)Al6V4Co2 cuboctahedra, and faces with six equivalent Co(2)Al6V2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two equivalent V(1), two equivalent Co(1), two equivalent Co(2), two equivalent Al(2), and four equivalent Al(1) atoms to form distorted CoAl6V2Co4 cuboctahedra that share corners with four equivalent Co(2)Al6V2Co4 cuboctahedra, corners with four equivalent Co(1)Al6V4Co2 cuboctahedra, edges with two equivalent Co(2)Al6V2Co4 cuboctahedra, faces with four equivalent Co(2)Al6V2Co4 cuboctahedra, and faces with six equivalent Co(1)Al6V4Co2 cuboctahedra. There are two inequivalent Al sites. In the first Al site, Al(1) is bonded in a 16-coordinate geometry to one V(3), two equivalent V(1), two equivalent V(2), three equivalent Co(1), four equivalent Co(2), one Al(1), and three equivalent Al(2) atoms. In the second Al site, Al(2) is bonded in a 15-coordinate geometry to one V(1), two equivalent V(3), four equivalent V(2), two equivalent Co(2), three equivalent Co(1), and three equivalent Al(1) atoms. is represented by the CIF file [CIF]
data_AlVCo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.654
_cell_length_b   4.654
_cell_length_c   8.023
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   116.769
_symmetry_Int_Tables_number   1
_cell_volume   155.130
_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
  Al  Al0  1  0.672  0.328  0.323  1.0
  Al  Al1  1  0.338  0.662  0.207  1.0
  Al  Al2  1  0.338  0.662  0.793  1.0
  Al  Al3  1  0.672  0.328  0.677  1.0
  V  V4  1  0.160  0.840  0.500  1.0
  V  V5  1  0.342  0.175  0.000  1.0
  V  V6  1  0.825  0.658  0.000  1.0
  V  V7  1  0.831  0.169  0.000  1.0
  Co  Co8  1  0.007  0.993  0.254  1.0
  Co  Co9  1  0.007  0.993  0.746  1.0
  Co  Co10  1  0.646  0.841  0.500  1.0
  Co  Co11  1  0.159  0.354  0.500  1.0
[/CIF]
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