The material described by Hf2CoGa3 crystallizes in the triclinic P1 space group. There are six inequivalent Hf sites. In the first Hf site, Hf(1) is bonded in a 7-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(5), one Ga(7), one Ga(8), and one Ga(9) atom. In the second Hf site, Hf(2) is bonded in a 7-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(5), one Ga(6), one Ga(7), one Ga(8), and one Ga(9) atom. In the third Hf site, Hf(3) is bonded in a 9-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(5), one Ga(7), one Ga(8), and one Ga(9) atom. In the fourth Hf site, Hf(4) is bonded in a 9-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(6), one Ga(7), one Ga(8), and one Ga(9) atom. In the fifth Hf site, Hf(5) is bonded in a 7-coordinate geometry to one Co(1), one Co(2), one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(7), one Ga(8), one Ga(9), and two equivalent Ga(5) atoms. In the sixth Hf site, Hf(6) is bonded in a 7-coordinate geometry to one Co(1), one Co(2), one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(7), one Ga(8), one Ga(9), and two equivalent Ga(6) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded in a 8-coordinate geometry to one Hf(5), one Hf(6), one Ga(1), one Ga(2), one Ga(5), one Ga(6), one Ga(8), and one Ga(9) atom. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one Hf(5), one Hf(6), one Co(3), one Ga(3), one Ga(4), one Ga(5), one Ga(6), and one Ga(7) atom. In the third Co site, Co(3) is bonded in a 12-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Ga(1), one Ga(4), one Ga(5), one Ga(6), and one Ga(7) atom. There are nine inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Co(3), and one Ga(9) atom. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Ga(7), and one Ga(8) atom. In the third Ga site, Ga(3) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Ga(7), and one Ga(8) atom. In the fourth Ga site, Ga(4) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Co(3), and one Ga(9) atom. In the fifth Ga site, Ga(5) is bonded in a 11-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), two equivalent Hf(5), one Co(1), one Co(2), one Co(3), one Ga(7), one Ga(8), and one Ga(9) atom. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Hf(2), one Hf(4), two equivalent Hf(6), one Co(1), one Co(2), one Co(3), one Ga(7), one Ga(8), and one Ga(9) atom. In the seventh Ga site, Ga(7) is bonded to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Co(3), one Ga(2), one Ga(3), one Ga(5), and one Ga(6) atom to form face-sharing GaHf6Ga4Co2 cuboctahedra. In the eighth Ga site, Ga(8) is bonded in a 12-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Ga(2), one Ga(3), one Ga(5), one Ga(6), and one Ga(9) atom. In the ninth Ga site, Ga(9) is bonded to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Ga(1), one Ga(4), one Ga(5), one Ga(6), and one Ga(8) atom to form distorted face-sharing GaHf6Ga5Co cuboctahedra. is represented by the CIF card [CIF]
data_Hf2Ga3Co
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.304
_cell_length_b   7.675
_cell_length_c   7.688
_cell_angle_alpha   64.034
_cell_angle_beta   66.562
_cell_angle_gamma   66.636
_symmetry_Int_Tables_number   1
_cell_volume   295.488
_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
  Hf  Hf0  1  0.048  0.979  0.472  1.0
  Hf  Hf1  1  0.506  0.028  0.509  1.0
  Hf  Hf2  1  0.506  0.529  0.043  1.0
  Hf  Hf3  1  0.087  0.449  0.970  1.0
  Hf  Hf4  1  0.962  0.750  0.248  1.0
  Hf  Hf5  1  0.950  0.242  0.753  1.0
  Ga  Ga6  1  0.173  0.336  0.336  1.0
  Ga  Ga7  1  0.851  0.654  0.663  1.0
  Ga  Ga8  1  0.173  0.835  0.839  1.0
  Ga  Ga9  1  0.836  0.158  0.154  1.0
  Ga  Ga10  1  0.456  0.785  0.258  1.0
  Ga  Ga11  1  0.476  0.233  0.751  1.0
  Ga  Ga12  1  0.722  0.874  0.896  1.0
  Ga  Ga13  1  0.479  0.614  0.633  1.0
  Ga  Ga14  1  0.722  0.389  0.368  1.0
  Co  Co15  1  0.265  0.504  0.497  1.0
  Co  Co16  1  0.244  0.000  0.001  1.0
  Co  Co17  1  0.485  0.141  0.109  1.0
[/CIF]
.
The material described by Hf2CoGa3 crystallizes in the triclinic P1 space group. There are six inequivalent Hf sites. In the first Hf site, Hf(1) is bonded in a 7-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(5), one Ga(7), one Ga(8), and one Ga(9) atom. In the second Hf site, Hf(2) is bonded in a 7-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(5), one Ga(6), one Ga(7), one Ga(8), and one Ga(9) atom. In the third Hf site, Hf(3) is bonded in a 9-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(5), one Ga(7), one Ga(8), and one Ga(9) atom. In the fourth Hf site, Hf(4) is bonded in a 9-coordinate geometry to one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(6), one Ga(7), one Ga(8), and one Ga(9) atom. In the fifth Hf site, Hf(5) is bonded in a 7-coordinate geometry to one Co(1), one Co(2), one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(7), one Ga(8), one Ga(9), and two equivalent Ga(5) atoms. In the sixth Hf site, Hf(6) is bonded in a 7-coordinate geometry to one Co(1), one Co(2), one Co(3), one Ga(1), one Ga(2), one Ga(3), one Ga(4), one Ga(7), one Ga(8), one Ga(9), and two equivalent Ga(6) atoms. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded in a 8-coordinate geometry to one Hf(5), one Hf(6), one Ga(1), one Ga(2), one Ga(5), one Ga(6), one Ga(8), and one Ga(9) atom. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one Hf(5), one Hf(6), one Co(3), one Ga(3), one Ga(4), one Ga(5), one Ga(6), and one Ga(7) atom. In the third Co site, Co(3) is bonded in a 12-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Ga(1), one Ga(4), one Ga(5), one Ga(6), and one Ga(7) atom. There are nine inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Co(3), and one Ga(9) atom. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Ga(7), and one Ga(8) atom. In the third Ga site, Ga(3) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Ga(7), and one Ga(8) atom. In the fourth Ga site, Ga(4) is bonded in a 9-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Co(3), and one Ga(9) atom. In the fifth Ga site, Ga(5) is bonded in a 11-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), two equivalent Hf(5), one Co(1), one Co(2), one Co(3), one Ga(7), one Ga(8), and one Ga(9) atom. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Hf(2), one Hf(4), two equivalent Hf(6), one Co(1), one Co(2), one Co(3), one Ga(7), one Ga(8), and one Ga(9) atom. In the seventh Ga site, Ga(7) is bonded to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(2), one Co(3), one Ga(2), one Ga(3), one Ga(5), and one Ga(6) atom to form face-sharing GaHf6Ga4Co2 cuboctahedra. In the eighth Ga site, Ga(8) is bonded in a 12-coordinate geometry to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Ga(2), one Ga(3), one Ga(5), one Ga(6), and one Ga(9) atom. In the ninth Ga site, Ga(9) is bonded to one Hf(1), one Hf(2), one Hf(3), one Hf(4), one Hf(5), one Hf(6), one Co(1), one Ga(1), one Ga(4), one Ga(5), one Ga(6), and one Ga(8) atom to form distorted face-sharing GaHf6Ga5Co cuboctahedra. is represented by the CIF card [CIF]
data_Hf2Ga3Co
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.304
_cell_length_b   7.675
_cell_length_c   7.688
_cell_angle_alpha   64.034
_cell_angle_beta   66.562
_cell_angle_gamma   66.636
_symmetry_Int_Tables_number   1
_cell_volume   295.488
_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
  Hf  Hf0  1  0.048  0.979  0.472  1.0
  Hf  Hf1  1  0.506  0.028  0.509  1.0
  Hf  Hf2  1  0.506  0.529  0.043  1.0
  Hf  Hf3  1  0.087  0.449  0.970  1.0
  Hf  Hf4  1  0.962  0.750  0.248  1.0
  Hf  Hf5  1  0.950  0.242  0.753  1.0
  Ga  Ga6  1  0.173  0.336  0.336  1.0
  Ga  Ga7  1  0.851  0.654  0.663  1.0
  Ga  Ga8  1  0.173  0.835  0.839  1.0
  Ga  Ga9  1  0.836  0.158  0.154  1.0
  Ga  Ga10  1  0.456  0.785  0.258  1.0
  Ga  Ga11  1  0.476  0.233  0.751  1.0
  Ga  Ga12  1  0.722  0.874  0.896  1.0
  Ga  Ga13  1  0.479  0.614  0.633  1.0
  Ga  Ga14  1  0.722  0.389  0.368  1.0
  Co  Co15  1  0.265  0.504  0.497  1.0
  Co  Co16  1  0.244  0.000  0.001  1.0
  Co  Co17  1  0.485  0.141  0.109  1.0
[/CIF]
.