The structure described by ZrCrCo is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the second Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the third Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the fourth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the fifth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the sixth Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two Zr(2,2); four Zr(1,1); two equivalent Co(1); and four equivalent Co(2) atoms to form distorted CrZr6Co6 cuboctahedra that share corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Cr(1)Zr6Co6 cuboctahedra, edges with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra. In the second Cr site, Cr(2) is bonded to two Zr(1,1); four Zr(2,2,2); two equivalent Cr(2); two equivalent Cr(3); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with two equivalent Cr(1)Zr6Co6 cuboctahedra, faces with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. In the third Cr site, Cr(3) is bonded to two Zr(1,1); four Zr(2,2); four equivalent Cr(2); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three Zr(1,1); three Zr(2,2); one Cr(1); one Cr(3); two equivalent Cr(2); and two equivalent Co(2) atoms to form distorted CoZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with three equivalent Cr(1)Zr6Co6 cuboctahedra, faces with three equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two Zr(2,2); four Zr(1,1,1); two equivalent Cr(1); two equivalent Co(1); and two equivalent Co(2) atoms to form distorted CoZr6Cr2Co4 cuboctahedra that share corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. is represented by the CIF file [CIF]
data_ZrCrCo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.874
_cell_length_b   4.874
_cell_length_c   8.312
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.277
_symmetry_Int_Tables_number   1
_cell_volume   173.869
_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
  Zr  Zr0  1  0.670  0.330  0.316  1.0
  Zr  Zr1  1  0.336  0.664  0.189  1.0
  Zr  Zr2  1  0.336  0.664  0.811  1.0
  Zr  Zr3  1  0.670  0.330  0.684  1.0
  Cr  Cr4  1  0.159  0.841  0.500  1.0
  Cr  Cr5  1  0.338  0.166  0.000  1.0
  Cr  Cr6  1  0.834  0.662  0.000  1.0
  Cr  Cr7  1  0.830  0.170  0.000  1.0
  Co  Co8  1  0.006  0.994  0.257  1.0
  Co  Co9  1  0.006  0.994  0.743  1.0
  Co  Co10  1  0.655  0.839  0.500  1.0
  Co  Co11  1  0.161  0.345  0.500  1.0
[/CIF]
.
The structure described by ZrCrCo is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the orthorhombic Amm2 space group. There are six inequivalent Zr sites. In the first Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the second Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the third Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. In the fourth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the fifth Zr site, Zr(1) is bonded in a 16-coordinate geometry to one Zr(1); three Zr(2,2); one Cr(3); two equivalent Cr(1); two equivalent Cr(2); three equivalent Co(1); and four equivalent Co(2) atoms. In the sixth Zr site, Zr(2) is bonded in a 16-coordinate geometry to one Zr(2); three Zr(1,1); one Cr(1); two equivalent Cr(3); four equivalent Cr(2); two equivalent Co(2); and three equivalent Co(1) atoms. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to two Zr(2,2); four Zr(1,1); two equivalent Co(1); and four equivalent Co(2) atoms to form distorted CrZr6Co6 cuboctahedra that share corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Cr(1)Zr6Co6 cuboctahedra, edges with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra. In the second Cr site, Cr(2) is bonded to two Zr(1,1); four Zr(2,2,2); two equivalent Cr(2); two equivalent Cr(3); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with four equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with two equivalent Cr(1)Zr6Co6 cuboctahedra, faces with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. In the third Cr site, Cr(3) is bonded to two Zr(1,1); four Zr(2,2); four equivalent Cr(2); and two equivalent Co(1) atoms to form CrZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with eight equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, edges with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, and faces with eight equivalent Cr(2)Zr6Cr4Co2 cuboctahedra. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to three Zr(1,1); three Zr(2,2); one Cr(1); one Cr(3); two equivalent Cr(2); and two equivalent Co(2) atoms to form distorted CoZr6Cr4Co2 cuboctahedra that share corners with two equivalent Cr(1)Zr6Co6 cuboctahedra, corners with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Co(1)Zr6Cr4Co2 cuboctahedra, faces with three equivalent Cr(1)Zr6Co6 cuboctahedra, faces with three equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, and faces with six equivalent Co(2)Zr6Cr2Co4 cuboctahedra. In the second Co site, Co(2) is bonded to two Zr(2,2); four Zr(1,1,1); two equivalent Cr(1); two equivalent Co(1); and two equivalent Co(2) atoms to form distorted CoZr6Cr2Co4 cuboctahedra that share corners with four equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, corners with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, corners with four equivalent Co(1)Zr6Cr4Co2 cuboctahedra, corners with six equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, edges with two equivalent Co(2)Zr6Cr2Co4 cuboctahedra, edges with four equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(2)Zr6Cr4Co2 cuboctahedra, faces with two equivalent Cr(3)Zr6Cr4Co2 cuboctahedra, faces with four equivalent Cr(1)Zr6Co6 cuboctahedra, faces with four equivalent Co(2)Zr6Cr2Co4 cuboctahedra, and faces with six equivalent Co(1)Zr6Cr4Co2 cuboctahedra. is represented by the CIF file [CIF]
data_ZrCrCo
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.874
_cell_length_b   4.874
_cell_length_c   8.312
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   118.277
_symmetry_Int_Tables_number   1
_cell_volume   173.869
_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
  Zr  Zr0  1  0.670  0.330  0.316  1.0
  Zr  Zr1  1  0.336  0.664  0.189  1.0
  Zr  Zr2  1  0.336  0.664  0.811  1.0
  Zr  Zr3  1  0.670  0.330  0.684  1.0
  Cr  Cr4  1  0.159  0.841  0.500  1.0
  Cr  Cr5  1  0.338  0.166  0.000  1.0
  Cr  Cr6  1  0.834  0.662  0.000  1.0
  Cr  Cr7  1  0.830  0.170  0.000  1.0
  Co  Co8  1  0.006  0.994  0.257  1.0
  Co  Co9  1  0.006  0.994  0.743  1.0
  Co  Co10  1  0.655  0.839  0.500  1.0
  Co  Co11  1  0.161  0.345  0.500  1.0
[/CIF]
.