The compound described by Y2CoNi5 crystallizes in the trigonal R3m space group. There are six inequivalent Y sites. In the first Y site, Y(1) is bonded in a 12-coordinate geometry to three equivalent Co(2), three equivalent Ni(3), and six equivalent Ni(1) atoms. In the second Y site, Y(2) is bonded in a 12-coordinate geometry to three equivalent Co(3), three equivalent Ni(4), and six equivalent Ni(2) atoms. In the third Y site, Y(3) is bonded in a 12-coordinate geometry to three equivalent Co(2), three equivalent Ni(1), and six equivalent Ni(3) atoms. In the fourth Y site, Y(4) is bonded in a 12-coordinate geometry to three equivalent Co(3), three equivalent Ni(2), and six equivalent Ni(4) atoms. In the fifth Y site, Y(5) is bonded in a 6-coordinate geometry to three equivalent Co(1), three equivalent Ni(5), six equivalent Ni(2), and six equivalent Ni(3) atoms. In the sixth Y site, Y(6) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(6), three equivalent Ni(7), six equivalent Ni(1), and six equivalent Ni(4) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to three equivalent Y(5), three equivalent Ni(2), three equivalent Ni(3), and three equivalent Ni(5) atoms to form distorted CoY3Ni9 cuboctahedra that share corners with three equivalent Co(3)Y6Ni6 cuboctahedra, corners with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with six equivalent Co(1)Y3Ni9 cuboctahedra,  a faceface with one Co(2)Y6Ni6 cuboctahedra, faces with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, faces with nine equivalent Ni(2)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(3)Y5Co2Ni5 cuboctahedra. In the second Co site, Co(2) is bonded to three equivalent Y(1), three equivalent Y(3), three equivalent Ni(1), and three equivalent Ni(3) atoms to form CoY6Ni6 cuboctahedra that share corners with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with six equivalent Co(2)Y6Ni6 cuboctahedra,  a faceface with one Co(1)Y3Ni9 cuboctahedra, faces with nine equivalent Ni(3)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(1)Y5CoNi6 cuboctahedra. In the third Co site, Co(3) is bonded to three equivalent Y(2), three equivalent Y(4), three equivalent Ni(2), and three equivalent Ni(4) atoms to form CoY6Ni6 cuboctahedra that share corners with three equivalent Co(1)Y3Ni9 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with six equivalent Co(3)Y6Ni6 cuboctahedra,  a faceface with one Ni(5)Y3Co3Ni6 cuboctahedra, faces with nine equivalent Ni(2)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(4)Y5CoNi6 cuboctahedra. There are seven inequivalent Ni sites. In the first Ni site, Ni(3) is bonded to one Y(1), two equivalent Y(3), two equivalent Y(5), one Co(1), one Co(2), one Ni(5), and four equivalent Ni(3) atoms to form NiY5Co2Ni5 cuboctahedra that share corners with two equivalent Co(1)Y3Ni9 cuboctahedra, corners with two equivalent Co(2)Y6Ni6 cuboctahedra, corners with two equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with four equivalent Ni(3)Y5Co2Ni5 cuboctahedra, corners with five equivalent Ni(1)Y5CoNi6 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(2)Y5Co2Ni5 cuboctahedra,  a faceface with one Ni(2)Y5Co2Ni5 cuboctahedra, faces with two equivalent Ni(1)Y5CoNi6 cuboctahedra, faces with three equivalent Co(1)Y3Ni9 cuboctahedra, faces with three equivalent Co(2)Y6Ni6 cuboctahedra, faces with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, and faces with eight equivalent Ni(3)Y5Co2Ni5 cuboctahedra. In the second Ni site, Ni(4) is bonded to one Y(2), two equivalent Y(4), two equivalent Y(6), one Co(3), one Ni(6), one Ni(7), and four equivalent Ni(4) atoms to form distorted NiY5CoNi6 cuboctahedra that share corners with two equivalent Co(3)Y6Ni6 cuboctahedra, corners with four equivalent Ni(4)Y5CoNi6 cuboctahedra, corners with five equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with two equivalent Ni(2)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(1)Y5CoNi6 cuboctahedra,  a faceface with one Ni(1)Y5CoNi6 cuboctahedra, faces with two equivalent Ni(2)Y5Co2Ni5 cuboctahedra, faces with three equivalent Co(3)Y6Ni6 cuboctahedra, and faces with eight equivalent Ni(4)Y5CoNi6 cuboctahedra. In the third Ni site, Ni(5) is bonded to three equivalent Y(5), three equivalent Co(1), three equivalent Ni(2), and three equivalent Ni(3) atoms to form distorted NiY3Co3Ni6 cuboctahedra that share corners with three equivalent Co(1)Y3Ni9 cuboctahedra, corners with three equivalent Co(2)Y6Ni6 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with six equivalent Ni(5)Y3Co3Ni6 cuboctahedra,  a faceface with one Co(3)Y6Ni6 cuboctahedra, faces with three equivalent Co(1)Y3Ni9 cuboctahedra, faces with nine equivalent Ni(2)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(3)Y5Co2Ni5 cuboctahedra. In the fourth Ni site, Ni(6) is bonded in a 9-coordinate geometry to three equivalent Y(6), three equivalent Ni(1), and three equivalent Ni(4) atoms. In the fifth Ni site, Ni(7) is bonded in a 9-coordinate geometry to three equivalent Y(6), three equivalent Ni(1), and three equivalent Ni(4) atoms. In the sixth Ni site, Ni(1) is bonded to one Y(3), two equivalent Y(1), two equivalent Y(6), one Co(2), one Ni(6), one Ni(7), and four equivalent Ni(1) atoms to form distorted NiY5CoNi6 cuboctahedra that share corners with two equivalent Co(2)Y6Ni6 cuboctahedra, corners with four equivalent Ni(1)Y5CoNi6 cuboctahedra, corners with five equivalent Ni(3)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with two equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(4)Y5CoNi6 cuboctahedra,  a faceface with one Ni(4)Y5CoNi6 cuboctahedra, faces with two equivalent Ni(3)Y5Co2Ni5 cuboctahedra, faces with three equivalent Co(2)Y6Ni6 cuboctahedra, and faces with eight equivalent Ni(1)Y5CoNi6 cuboctahedra. In the seventh Ni site, Ni(2) is bonded to one Y(4), two equivalent Y(2), two equivalent Y(5), one Co(1), one Co(3), one Ni(5), and four equivalent Ni(2) atoms to form NiY5Co2Ni5 cuboctahedra that share corners with two equivalent Co(1)Y3Ni9 cuboctahedra, corners with two equivalent Co(3)Y6Ni6 cuboctahedra, corners with two equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with four equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with five equivalent Ni(4)Y5CoNi6 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(2)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(3)Y5Co2Ni5 cuboctahedra,  a faceface with one Ni(3)Y5Co2Ni5 cuboctahedra, faces with two equivalent Ni(4)Y5CoNi6 cuboctahedra, faces with three equivalent Co(1)Y3Ni9 cuboctahedra, faces with three equivalent Co(3)Y6Ni6 cuboctahedra, faces with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Y5Co2Ni5 cuboctahedra. is represented by the CIF file [CIF]
data_Y2CoNi5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   16.453
_cell_length_b   16.453
_cell_length_c   16.453
_cell_angle_alpha   17.382
_cell_angle_beta   17.382
_cell_angle_gamma   17.382
_symmetry_Int_Tables_number   1
_cell_volume   346.873
_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
  Y  Y0  1  0.570  0.570  0.570  1.0
  Y  Y1  1  0.070  0.070  0.070  1.0
  Y  Y2  1  0.930  0.930  0.930  1.0
  Y  Y3  1  0.430  0.430  0.430  1.0
  Y  Y4  1  1.000  1.000  1.000  1.0
  Y  Y5  1  0.500  0.500  0.500  1.0
  Co  Co6  1  0.333  0.333  0.333  1.0
  Co  Co7  1  0.250  0.250  0.250  1.0
  Co  Co8  1  0.750  0.750  0.750  1.0
  Ni  Ni9  1  0.041  0.541  0.041  1.0
  Ni  Ni10  1  0.541  0.041  0.541  1.0
  Ni  Ni11  1  0.541  0.041  0.041  1.0
  Ni  Ni12  1  0.041  0.541  0.541  1.0
  Ni  Ni13  1  0.041  0.041  0.541  1.0
  Ni  Ni14  1  0.541  0.541  0.041  1.0
  Ni  Ni15  1  0.459  0.960  0.459  1.0
  Ni  Ni16  1  0.959  0.459  0.959  1.0
  Ni  Ni17  1  0.960  0.459  0.459  1.0
  Ni  Ni18  1  0.459  0.959  0.959  1.0
  Ni  Ni19  1  0.459  0.459  0.960  1.0
  Ni  Ni20  1  0.959  0.959  0.459  1.0
  Ni  Ni21  1  0.667  0.667  0.667  1.0
  Ni  Ni22  1  0.167  0.167  0.167  1.0
  Ni  Ni23  1  0.833  0.833  0.833  1.0
[/CIF]
.
The compound described by Y2CoNi5 crystallizes in the trigonal R3m space group. There are six inequivalent Y sites. In the first Y site, Y(1) is bonded in a 12-coordinate geometry to three equivalent Co(2), three equivalent Ni(3), and six equivalent Ni(1) atoms. In the second Y site, Y(2) is bonded in a 12-coordinate geometry to three equivalent Co(3), three equivalent Ni(4), and six equivalent Ni(2) atoms. In the third Y site, Y(3) is bonded in a 12-coordinate geometry to three equivalent Co(2), three equivalent Ni(1), and six equivalent Ni(3) atoms. In the fourth Y site, Y(4) is bonded in a 12-coordinate geometry to three equivalent Co(3), three equivalent Ni(2), and six equivalent Ni(4) atoms. In the fifth Y site, Y(5) is bonded in a 6-coordinate geometry to three equivalent Co(1), three equivalent Ni(5), six equivalent Ni(2), and six equivalent Ni(3) atoms. In the sixth Y site, Y(6) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(6), three equivalent Ni(7), six equivalent Ni(1), and six equivalent Ni(4) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to three equivalent Y(5), three equivalent Ni(2), three equivalent Ni(3), and three equivalent Ni(5) atoms to form distorted CoY3Ni9 cuboctahedra that share corners with three equivalent Co(3)Y6Ni6 cuboctahedra, corners with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with six equivalent Co(1)Y3Ni9 cuboctahedra,  a faceface with one Co(2)Y6Ni6 cuboctahedra, faces with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, faces with nine equivalent Ni(2)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(3)Y5Co2Ni5 cuboctahedra. In the second Co site, Co(2) is bonded to three equivalent Y(1), three equivalent Y(3), three equivalent Ni(1), and three equivalent Ni(3) atoms to form CoY6Ni6 cuboctahedra that share corners with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with six equivalent Co(2)Y6Ni6 cuboctahedra,  a faceface with one Co(1)Y3Ni9 cuboctahedra, faces with nine equivalent Ni(3)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(1)Y5CoNi6 cuboctahedra. In the third Co site, Co(3) is bonded to three equivalent Y(2), three equivalent Y(4), three equivalent Ni(2), and three equivalent Ni(4) atoms to form CoY6Ni6 cuboctahedra that share corners with three equivalent Co(1)Y3Ni9 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with six equivalent Co(3)Y6Ni6 cuboctahedra,  a faceface with one Ni(5)Y3Co3Ni6 cuboctahedra, faces with nine equivalent Ni(2)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(4)Y5CoNi6 cuboctahedra. There are seven inequivalent Ni sites. In the first Ni site, Ni(3) is bonded to one Y(1), two equivalent Y(3), two equivalent Y(5), one Co(1), one Co(2), one Ni(5), and four equivalent Ni(3) atoms to form NiY5Co2Ni5 cuboctahedra that share corners with two equivalent Co(1)Y3Ni9 cuboctahedra, corners with two equivalent Co(2)Y6Ni6 cuboctahedra, corners with two equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with four equivalent Ni(3)Y5Co2Ni5 cuboctahedra, corners with five equivalent Ni(1)Y5CoNi6 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(2)Y5Co2Ni5 cuboctahedra,  a faceface with one Ni(2)Y5Co2Ni5 cuboctahedra, faces with two equivalent Ni(1)Y5CoNi6 cuboctahedra, faces with three equivalent Co(1)Y3Ni9 cuboctahedra, faces with three equivalent Co(2)Y6Ni6 cuboctahedra, faces with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, and faces with eight equivalent Ni(3)Y5Co2Ni5 cuboctahedra. In the second Ni site, Ni(4) is bonded to one Y(2), two equivalent Y(4), two equivalent Y(6), one Co(3), one Ni(6), one Ni(7), and four equivalent Ni(4) atoms to form distorted NiY5CoNi6 cuboctahedra that share corners with two equivalent Co(3)Y6Ni6 cuboctahedra, corners with four equivalent Ni(4)Y5CoNi6 cuboctahedra, corners with five equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with two equivalent Ni(2)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(1)Y5CoNi6 cuboctahedra,  a faceface with one Ni(1)Y5CoNi6 cuboctahedra, faces with two equivalent Ni(2)Y5Co2Ni5 cuboctahedra, faces with three equivalent Co(3)Y6Ni6 cuboctahedra, and faces with eight equivalent Ni(4)Y5CoNi6 cuboctahedra. In the third Ni site, Ni(5) is bonded to three equivalent Y(5), three equivalent Co(1), three equivalent Ni(2), and three equivalent Ni(3) atoms to form distorted NiY3Co3Ni6 cuboctahedra that share corners with three equivalent Co(1)Y3Ni9 cuboctahedra, corners with three equivalent Co(2)Y6Ni6 cuboctahedra, corners with six equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with six equivalent Ni(5)Y3Co3Ni6 cuboctahedra,  a faceface with one Co(3)Y6Ni6 cuboctahedra, faces with three equivalent Co(1)Y3Ni9 cuboctahedra, faces with nine equivalent Ni(2)Y5Co2Ni5 cuboctahedra, and faces with nine equivalent Ni(3)Y5Co2Ni5 cuboctahedra. In the fourth Ni site, Ni(6) is bonded in a 9-coordinate geometry to three equivalent Y(6), three equivalent Ni(1), and three equivalent Ni(4) atoms. In the fifth Ni site, Ni(7) is bonded in a 9-coordinate geometry to three equivalent Y(6), three equivalent Ni(1), and three equivalent Ni(4) atoms. In the sixth Ni site, Ni(1) is bonded to one Y(3), two equivalent Y(1), two equivalent Y(6), one Co(2), one Ni(6), one Ni(7), and four equivalent Ni(1) atoms to form distorted NiY5CoNi6 cuboctahedra that share corners with two equivalent Co(2)Y6Ni6 cuboctahedra, corners with four equivalent Ni(1)Y5CoNi6 cuboctahedra, corners with five equivalent Ni(3)Y5Co2Ni5 cuboctahedra, corners with six equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with two equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(1)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(4)Y5CoNi6 cuboctahedra,  a faceface with one Ni(4)Y5CoNi6 cuboctahedra, faces with two equivalent Ni(3)Y5Co2Ni5 cuboctahedra, faces with three equivalent Co(2)Y6Ni6 cuboctahedra, and faces with eight equivalent Ni(1)Y5CoNi6 cuboctahedra. In the seventh Ni site, Ni(2) is bonded to one Y(4), two equivalent Y(2), two equivalent Y(5), one Co(1), one Co(3), one Ni(5), and four equivalent Ni(2) atoms to form NiY5Co2Ni5 cuboctahedra that share corners with two equivalent Co(1)Y3Ni9 cuboctahedra, corners with two equivalent Co(3)Y6Ni6 cuboctahedra, corners with two equivalent Ni(5)Y3Co3Ni6 cuboctahedra, corners with four equivalent Ni(2)Y5Co2Ni5 cuboctahedra, corners with five equivalent Ni(4)Y5CoNi6 cuboctahedra, corners with six equivalent Ni(3)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(2)Y5Co2Ni5 cuboctahedra, edges with two equivalent Ni(4)Y5CoNi6 cuboctahedra, edges with four equivalent Ni(3)Y5Co2Ni5 cuboctahedra,  a faceface with one Ni(3)Y5Co2Ni5 cuboctahedra, faces with two equivalent Ni(4)Y5CoNi6 cuboctahedra, faces with three equivalent Co(1)Y3Ni9 cuboctahedra, faces with three equivalent Co(3)Y6Ni6 cuboctahedra, faces with three equivalent Ni(5)Y3Co3Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Y5Co2Ni5 cuboctahedra. is represented by the CIF file [CIF]
data_Y2CoNi5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   16.453
_cell_length_b   16.453
_cell_length_c   16.453
_cell_angle_alpha   17.382
_cell_angle_beta   17.382
_cell_angle_gamma   17.382
_symmetry_Int_Tables_number   1
_cell_volume   346.873
_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
  Y  Y0  1  0.570  0.570  0.570  1.0
  Y  Y1  1  0.070  0.070  0.070  1.0
  Y  Y2  1  0.930  0.930  0.930  1.0
  Y  Y3  1  0.430  0.430  0.430  1.0
  Y  Y4  1  1.000  1.000  1.000  1.0
  Y  Y5  1  0.500  0.500  0.500  1.0
  Co  Co6  1  0.333  0.333  0.333  1.0
  Co  Co7  1  0.250  0.250  0.250  1.0
  Co  Co8  1  0.750  0.750  0.750  1.0
  Ni  Ni9  1  0.041  0.541  0.041  1.0
  Ni  Ni10  1  0.541  0.041  0.541  1.0
  Ni  Ni11  1  0.541  0.041  0.041  1.0
  Ni  Ni12  1  0.041  0.541  0.541  1.0
  Ni  Ni13  1  0.041  0.041  0.541  1.0
  Ni  Ni14  1  0.541  0.541  0.041  1.0
  Ni  Ni15  1  0.459  0.960  0.459  1.0
  Ni  Ni16  1  0.959  0.459  0.959  1.0
  Ni  Ni17  1  0.960  0.459  0.459  1.0
  Ni  Ni18  1  0.459  0.959  0.959  1.0
  Ni  Ni19  1  0.459  0.459  0.960  1.0
  Ni  Ni20  1  0.959  0.959  0.459  1.0
  Ni  Ni21  1  0.667  0.667  0.667  1.0
  Ni  Ni22  1  0.167  0.167  0.167  1.0
  Ni  Ni23  1  0.833  0.833  0.833  1.0
[/CIF]
.