The material structure described by GdYCo6 is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 12-coordinate geometry to three equivalent Co(7), three equivalent Co(9), and six equivalent Co(5) atoms. In the second Gd site, Gd(2) is bonded in a 12-coordinate geometry to three equivalent Co(10), three equivalent Co(8), and six equivalent Co(6) atoms. In the third Gd site, Gd(3) is bonded in a 12-coordinate geometry to three equivalent Co(5), three equivalent Co(9), and six equivalent Co(7) atoms. There are three inequivalent Y sites. In the first Y site, Y(1) is bonded in a 12-coordinate geometry to three equivalent Co(10), three equivalent Co(6), and six equivalent Co(8) atoms. In the second Y site, Y(2) is bonded in a distorted hexagonal planar geometry to three equivalent Co(1), three equivalent Co(4), six equivalent Co(6), and six equivalent Co(7) atoms. In the third Y site, Y(3) is bonded in a distorted hexagonal planar geometry to three equivalent Co(2), three equivalent Co(3), six equivalent Co(5), and six equivalent Co(8) atoms. There are ten inequivalent Co sites. In the first Co site, Co(9) is bonded to three equivalent Gd(1), three equivalent Gd(3), three equivalent Co(5), and three equivalent Co(7) atoms to form CoGd6Co6 cuboctahedra that share corners with six equivalent Co(5)Gd3Y2Co7 cuboctahedra, corners with six equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with six equivalent Co(9)Gd6Co6 cuboctahedra, faces with nine equivalent Co(5)Gd3Y2Co7 cuboctahedra, and faces with nine equivalent Co(7)Gd3Y2Co7 cuboctahedra. In the second Co site, Co(10) is bonded to three equivalent Gd(2), three equivalent Y(1), three equivalent Co(6), and three equivalent Co(8) atoms to form CoGd3Y3Co6 cuboctahedra that share corners with six equivalent Co(6)Gd2Y3Co7 cuboctahedra, corners with six equivalent Co(8)GdY4Co7 cuboctahedra, edges with six equivalent Co(10)Gd3Y3Co6 cuboctahedra, faces with nine equivalent Co(6)Gd2Y3Co7 cuboctahedra, and faces with nine equivalent Co(8)GdY4Co7 cuboctahedra. In the third Co site, Co(1) is bonded in a 9-coordinate geometry to three equivalent Y(2), three equivalent Co(6), and three equivalent Co(7) atoms. In the fourth Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Y(3), three equivalent Co(5), and three equivalent Co(8) atoms. In the fifth Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Y(3), three equivalent Co(5), and three equivalent Co(8) atoms. In the sixth Co site, Co(4) is bonded in a 9-coordinate geometry to three equivalent Y(2), three equivalent Co(6), and three equivalent Co(7) atoms. In the seventh Co site, Co(5) is bonded to one Gd(3), two equivalent Gd(1), two equivalent Y(3), one Co(2), one Co(3), one Co(9), and four equivalent Co(5) atoms to form CoGd3Y2Co7 cuboctahedra that share corners with two equivalent Co(9)Gd6Co6 cuboctahedra, corners with four equivalent Co(5)Gd3Y2Co7 cuboctahedra, corners with five equivalent Co(7)Gd3Y2Co7 cuboctahedra, corners with six equivalent Co(8)GdY4Co7 cuboctahedra, edges with two equivalent Co(5)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with four equivalent Co(8)GdY4Co7 cuboctahedra,  a faceface with one Co(8)GdY4Co7 cuboctahedra, faces with two equivalent Co(7)Gd3Y2Co7 cuboctahedra, faces with three equivalent Co(9)Gd6Co6 cuboctahedra, and faces with eight equivalent Co(5)Gd3Y2Co7 cuboctahedra. In the eighth Co site, Co(6) is bonded to two equivalent Gd(2), one Y(1), two equivalent Y(2), one Co(1), one Co(10), one Co(4), and four equivalent Co(6) atoms to form CoGd2Y3Co7 cuboctahedra that share corners with two equivalent Co(10)Gd3Y3Co6 cuboctahedra, corners with four equivalent Co(6)Gd2Y3Co7 cuboctahedra, corners with five equivalent Co(8)GdY4Co7 cuboctahedra, corners with six equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(6)Gd2Y3Co7 cuboctahedra, edges with two equivalent Co(8)GdY4Co7 cuboctahedra, edges with four equivalent Co(7)Gd3Y2Co7 cuboctahedra,  a faceface with one Co(7)Gd3Y2Co7 cuboctahedra, faces with two equivalent Co(8)GdY4Co7 cuboctahedra, faces with three equivalent Co(10)Gd3Y3Co6 cuboctahedra, and faces with eight equivalent Co(6)Gd2Y3Co7 cuboctahedra. In the ninth Co site, Co(7) is bonded to one Gd(1), two equivalent Gd(3), two equivalent Y(2), one Co(1), one Co(4), one Co(9), and four equivalent Co(7) atoms to form CoGd3Y2Co7 cuboctahedra that share corners with two equivalent Co(9)Gd6Co6 cuboctahedra, corners with four equivalent Co(7)Gd3Y2Co7 cuboctahedra, corners with five equivalent Co(5)Gd3Y2Co7 cuboctahedra, corners with six equivalent Co(6)Gd2Y3Co7 cuboctahedra, edges with two equivalent Co(5)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with four equivalent Co(6)Gd2Y3Co7 cuboctahedra,  a faceface with one Co(6)Gd2Y3Co7 cuboctahedra, faces with two equivalent Co(5)Gd3Y2Co7 cuboctahedra, faces with three equivalent Co(9)Gd6Co6 cuboctahedra, and faces with eight equivalent Co(7)Gd3Y2Co7 cuboctahedra. In the tenth Co site, Co(8) is bonded to one Gd(2), two equivalent Y(1), two equivalent Y(3), one Co(10), one Co(2), one Co(3), and four equivalent Co(8) atoms to form CoGdY4Co7 cuboctahedra that share corners with two equivalent Co(10)Gd3Y3Co6 cuboctahedra, corners with four equivalent Co(8)GdY4Co7 cuboctahedra, corners with five equivalent Co(6)Gd2Y3Co7 cuboctahedra, corners with six equivalent Co(5)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(6)Gd2Y3Co7 cuboctahedra, edges with two equivalent Co(8)GdY4Co7 cuboctahedra, edges with four equivalent Co(5)Gd3Y2Co7 cuboctahedra,  a faceface with one Co(5)Gd3Y2Co7 cuboctahedra, faces with two equivalent Co(6)Gd2Y3Co7 cuboctahedra, faces with three equivalent Co(10)Gd3Y3Co6 cuboctahedra, and faces with eight equivalent Co(8)GdY4Co7 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_GdYCo6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.919
_cell_length_b   4.919
_cell_length_c   16.647
_cell_angle_alpha   81.504
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   343.704
_cell_formula_units_Z   3
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
  Gd  Gd0  1  0.570  0.140  0.290  1.0
  Gd  Gd1  1  0.070  0.140  0.790  1.0
  Gd  Gd2  1  0.930  0.860  0.210  1.0
  Y  Y3  1  0.430  0.860  0.710  1.0
  Y  Y4  1  0.000  0.000  1.000  1.0
  Y  Y5  1  0.500  1.000  0.500  1.0
  Co  Co6  1  0.667  0.335  0.998  1.0
  Co  Co7  1  0.167  0.334  0.499  1.0
  Co  Co8  1  0.833  0.665  0.502  1.0
  Co  Co9  1  0.333  0.665  0.002  1.0
  Co  Co10  1  0.040  0.580  0.380  1.0
  Co  Co11  1  0.540  0.581  0.879  1.0
  Co  Co12  1  0.540  0.580  0.380  1.0
  Co  Co13  1  0.041  0.581  0.879  1.0
  Co  Co14  1  0.040  0.081  0.380  1.0
  Co  Co15  1  0.540  0.080  0.879  1.0
  Co  Co16  1  0.460  0.419  0.121  1.0
  Co  Co17  1  0.960  0.419  0.621  1.0
  Co  Co18  1  0.959  0.419  0.121  1.0
  Co  Co19  1  0.460  0.419  0.621  1.0
  Co  Co20  1  0.460  0.920  0.121  1.0
  Co  Co21  1  0.960  0.919  0.621  1.0
  Co  Co22  1  0.250  0.500  0.250  1.0
  Co  Co23  1  0.750  0.500  0.750  1.0
[/CIF]
.
The material structure described by GdYCo6 is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the trigonal R3m space group. There are three inequivalent Gd sites. In the first Gd site, Gd(1) is bonded in a 12-coordinate geometry to three equivalent Co(7), three equivalent Co(9), and six equivalent Co(5) atoms. In the second Gd site, Gd(2) is bonded in a 12-coordinate geometry to three equivalent Co(10), three equivalent Co(8), and six equivalent Co(6) atoms. In the third Gd site, Gd(3) is bonded in a 12-coordinate geometry to three equivalent Co(5), three equivalent Co(9), and six equivalent Co(7) atoms. There are three inequivalent Y sites. In the first Y site, Y(1) is bonded in a 12-coordinate geometry to three equivalent Co(10), three equivalent Co(6), and six equivalent Co(8) atoms. In the second Y site, Y(2) is bonded in a distorted hexagonal planar geometry to three equivalent Co(1), three equivalent Co(4), six equivalent Co(6), and six equivalent Co(7) atoms. In the third Y site, Y(3) is bonded in a distorted hexagonal planar geometry to three equivalent Co(2), three equivalent Co(3), six equivalent Co(5), and six equivalent Co(8) atoms. There are ten inequivalent Co sites. In the first Co site, Co(9) is bonded to three equivalent Gd(1), three equivalent Gd(3), three equivalent Co(5), and three equivalent Co(7) atoms to form CoGd6Co6 cuboctahedra that share corners with six equivalent Co(5)Gd3Y2Co7 cuboctahedra, corners with six equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with six equivalent Co(9)Gd6Co6 cuboctahedra, faces with nine equivalent Co(5)Gd3Y2Co7 cuboctahedra, and faces with nine equivalent Co(7)Gd3Y2Co7 cuboctahedra. In the second Co site, Co(10) is bonded to three equivalent Gd(2), three equivalent Y(1), three equivalent Co(6), and three equivalent Co(8) atoms to form CoGd3Y3Co6 cuboctahedra that share corners with six equivalent Co(6)Gd2Y3Co7 cuboctahedra, corners with six equivalent Co(8)GdY4Co7 cuboctahedra, edges with six equivalent Co(10)Gd3Y3Co6 cuboctahedra, faces with nine equivalent Co(6)Gd2Y3Co7 cuboctahedra, and faces with nine equivalent Co(8)GdY4Co7 cuboctahedra. In the third Co site, Co(1) is bonded in a 9-coordinate geometry to three equivalent Y(2), three equivalent Co(6), and three equivalent Co(7) atoms. In the fourth Co site, Co(2) is bonded in a 9-coordinate geometry to three equivalent Y(3), three equivalent Co(5), and three equivalent Co(8) atoms. In the fifth Co site, Co(3) is bonded in a 9-coordinate geometry to three equivalent Y(3), three equivalent Co(5), and three equivalent Co(8) atoms. In the sixth Co site, Co(4) is bonded in a 9-coordinate geometry to three equivalent Y(2), three equivalent Co(6), and three equivalent Co(7) atoms. In the seventh Co site, Co(5) is bonded to one Gd(3), two equivalent Gd(1), two equivalent Y(3), one Co(2), one Co(3), one Co(9), and four equivalent Co(5) atoms to form CoGd3Y2Co7 cuboctahedra that share corners with two equivalent Co(9)Gd6Co6 cuboctahedra, corners with four equivalent Co(5)Gd3Y2Co7 cuboctahedra, corners with five equivalent Co(7)Gd3Y2Co7 cuboctahedra, corners with six equivalent Co(8)GdY4Co7 cuboctahedra, edges with two equivalent Co(5)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with four equivalent Co(8)GdY4Co7 cuboctahedra,  a faceface with one Co(8)GdY4Co7 cuboctahedra, faces with two equivalent Co(7)Gd3Y2Co7 cuboctahedra, faces with three equivalent Co(9)Gd6Co6 cuboctahedra, and faces with eight equivalent Co(5)Gd3Y2Co7 cuboctahedra. In the eighth Co site, Co(6) is bonded to two equivalent Gd(2), one Y(1), two equivalent Y(2), one Co(1), one Co(10), one Co(4), and four equivalent Co(6) atoms to form CoGd2Y3Co7 cuboctahedra that share corners with two equivalent Co(10)Gd3Y3Co6 cuboctahedra, corners with four equivalent Co(6)Gd2Y3Co7 cuboctahedra, corners with five equivalent Co(8)GdY4Co7 cuboctahedra, corners with six equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(6)Gd2Y3Co7 cuboctahedra, edges with two equivalent Co(8)GdY4Co7 cuboctahedra, edges with four equivalent Co(7)Gd3Y2Co7 cuboctahedra,  a faceface with one Co(7)Gd3Y2Co7 cuboctahedra, faces with two equivalent Co(8)GdY4Co7 cuboctahedra, faces with three equivalent Co(10)Gd3Y3Co6 cuboctahedra, and faces with eight equivalent Co(6)Gd2Y3Co7 cuboctahedra. In the ninth Co site, Co(7) is bonded to one Gd(1), two equivalent Gd(3), two equivalent Y(2), one Co(1), one Co(4), one Co(9), and four equivalent Co(7) atoms to form CoGd3Y2Co7 cuboctahedra that share corners with two equivalent Co(9)Gd6Co6 cuboctahedra, corners with four equivalent Co(7)Gd3Y2Co7 cuboctahedra, corners with five equivalent Co(5)Gd3Y2Co7 cuboctahedra, corners with six equivalent Co(6)Gd2Y3Co7 cuboctahedra, edges with two equivalent Co(5)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(7)Gd3Y2Co7 cuboctahedra, edges with four equivalent Co(6)Gd2Y3Co7 cuboctahedra,  a faceface with one Co(6)Gd2Y3Co7 cuboctahedra, faces with two equivalent Co(5)Gd3Y2Co7 cuboctahedra, faces with three equivalent Co(9)Gd6Co6 cuboctahedra, and faces with eight equivalent Co(7)Gd3Y2Co7 cuboctahedra. In the tenth Co site, Co(8) is bonded to one Gd(2), two equivalent Y(1), two equivalent Y(3), one Co(10), one Co(2), one Co(3), and four equivalent Co(8) atoms to form CoGdY4Co7 cuboctahedra that share corners with two equivalent Co(10)Gd3Y3Co6 cuboctahedra, corners with four equivalent Co(8)GdY4Co7 cuboctahedra, corners with five equivalent Co(6)Gd2Y3Co7 cuboctahedra, corners with six equivalent Co(5)Gd3Y2Co7 cuboctahedra, edges with two equivalent Co(6)Gd2Y3Co7 cuboctahedra, edges with two equivalent Co(8)GdY4Co7 cuboctahedra, edges with four equivalent Co(5)Gd3Y2Co7 cuboctahedra,  a faceface with one Co(5)Gd3Y2Co7 cuboctahedra, faces with two equivalent Co(6)Gd2Y3Co7 cuboctahedra, faces with three equivalent Co(10)Gd3Y3Co6 cuboctahedra, and faces with eight equivalent Co(8)GdY4Co7 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_GdYCo6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.919
_cell_length_b   4.919
_cell_length_c   16.647
_cell_angle_alpha   81.504
_cell_angle_beta   90.000
_cell_angle_gamma   120.000
_symmetry_Int_Tables_number   1
_cell_volume   343.704
_cell_formula_units_Z   3
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
  Gd  Gd0  1  0.570  0.140  0.290  1.0
  Gd  Gd1  1  0.070  0.140  0.790  1.0
  Gd  Gd2  1  0.930  0.860  0.210  1.0
  Y  Y3  1  0.430  0.860  0.710  1.0
  Y  Y4  1  0.000  0.000  1.000  1.0
  Y  Y5  1  0.500  1.000  0.500  1.0
  Co  Co6  1  0.667  0.335  0.998  1.0
  Co  Co7  1  0.167  0.334  0.499  1.0
  Co  Co8  1  0.833  0.665  0.502  1.0
  Co  Co9  1  0.333  0.665  0.002  1.0
  Co  Co10  1  0.040  0.580  0.380  1.0
  Co  Co11  1  0.540  0.581  0.879  1.0
  Co  Co12  1  0.540  0.580  0.380  1.0
  Co  Co13  1  0.041  0.581  0.879  1.0
  Co  Co14  1  0.040  0.081  0.380  1.0
  Co  Co15  1  0.540  0.080  0.879  1.0
  Co  Co16  1  0.460  0.419  0.121  1.0
  Co  Co17  1  0.960  0.419  0.621  1.0
  Co  Co18  1  0.959  0.419  0.121  1.0
  Co  Co19  1  0.460  0.419  0.621  1.0
  Co  Co20  1  0.460  0.920  0.121  1.0
  Co  Co21  1  0.960  0.919  0.621  1.0
  Co  Co22  1  0.250  0.500  0.250  1.0
  Co  Co23  1  0.750  0.500  0.750  1.0
[/CIF]
.