The structure described by HfCrGa2 crystallizes in the orthorhombic Pnma space group. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded in a 12-coordinate geometry to one Cr(2), three equivalent Cr(1), one Ga(4), one Ga(5), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms. In the second Hf site, Hf(2) is bonded in a 7-coordinate geometry to two equivalent Cr(2), four equivalent Cr(1), one Ga(2), one Ga(3), one Ga(4), two equivalent Ga(1), and two equivalent Ga(5) atoms. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 12-coordinate geometry to two equivalent Hf(2), three equivalent Hf(1), one Cr(2), one Ga(2), one Ga(3), one Ga(4), one Ga(5), and two equivalent Ga(1) atoms. In the second Cr site, Cr(2) is bonded to two equivalent Hf(1), two equivalent Hf(2), two equivalent Cr(1), two equivalent Ga(1), two equivalent Ga(4), and two equivalent Ga(5) atoms to form distorted face-sharing CrHf4Cr2Ga6 cuboctahedra. There are five inequivalent Ga sites. In the first Ga site, Ga(2) is bonded in a 11-coordinate geometry to one Hf(2), four equivalent Hf(1), two equivalent Cr(1), one Ga(3), one Ga(4), and two equivalent Ga(1) atoms. In the second Ga site, Ga(3) is bonded in a 11-coordinate geometry to one Hf(2), four equivalent Hf(1), two equivalent Cr(1), one Ga(2), one Ga(5), and two equivalent Ga(1) atoms. In the third Ga site, Ga(4) is bonded in a 7-coordinate geometry to one Hf(2), two equivalent Hf(1), two equivalent Cr(1), two equivalent Cr(2), and one Ga(2) atom. In the fourth Ga site, Ga(5) is bonded in a 8-coordinate geometry to two equivalent Hf(1), two equivalent Hf(2), two equivalent Cr(1), two equivalent Cr(2), and one Ga(3) atom. In the fifth Ga site, Ga(1) is bonded in a 6-coordinate geometry to one Hf(2), two equivalent Hf(1), one Cr(2), two equivalent Cr(1), one Ga(2), and one Ga(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_HfCrGa2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.542
_cell_length_b   9.091
_cell_length_c   9.992
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   775.908
_cell_formula_units_Z   12
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  0.474  0.166  0.952  1.0
  Hf  Hf1  1  0.026  0.334  0.452  1.0
  Hf  Hf2  1  0.974  0.834  0.048  1.0
  Hf  Hf3  1  0.526  0.666  0.548  1.0
  Hf  Hf4  1  0.526  0.834  0.048  1.0
  Hf  Hf5  1  0.974  0.666  0.548  1.0
  Hf  Hf6  1  0.026  0.166  0.952  1.0
  Hf  Hf7  1  0.474  0.334  0.452  1.0
  Hf  Hf8  1  0.250  0.164  0.680  1.0
  Hf  Hf9  1  0.250  0.336  0.180  1.0
  Hf  Hf10  1  0.750  0.836  0.320  1.0
  Hf  Hf11  1  0.750  0.664  0.820  1.0
  Cr  Cr12  1  0.500  0.425  0.757  1.0
  Cr  Cr13  1  1.000  0.075  0.257  1.0
  Cr  Cr14  1  0.000  0.575  0.243  1.0
  Cr  Cr15  1  0.500  0.925  0.743  1.0
  Cr  Cr16  1  0.500  0.575  0.243  1.0
  Cr  Cr17  1  0.000  0.925  0.743  1.0
  Cr  Cr18  1  1.000  0.425  0.757  1.0
  Cr  Cr19  1  0.500  0.075  0.257  1.0
  Cr  Cr20  1  0.000  0.000  0.500  1.0
  Cr  Cr21  1  0.500  0.500  0.000  1.0
  Cr  Cr22  1  0.500  0.000  0.500  1.0
  Cr  Cr23  1  0.000  0.500  0.000  1.0
  Ga  Ga24  1  0.925  0.178  0.680  1.0
  Ga  Ga25  1  0.575  0.322  0.180  1.0
  Ga  Ga26  1  0.425  0.822  0.320  1.0
  Ga  Ga27  1  0.075  0.678  0.820  1.0
  Ga  Ga28  1  0.075  0.822  0.320  1.0
  Ga  Ga29  1  0.425  0.678  0.820  1.0
  Ga  Ga30  1  0.575  0.178  0.680  1.0
  Ga  Ga31  1  0.925  0.322  0.180  1.0
  Ga  Ga32  1  0.250  0.568  0.381  1.0
  Ga  Ga33  1  0.250  0.932  0.881  1.0
  Ga  Ga34  1  0.750  0.432  0.619  1.0
  Ga  Ga35  1  0.750  0.068  0.119  1.0
  Ga  Ga36  1  0.250  0.488  0.629  1.0
  Ga  Ga37  1  0.250  0.012  0.129  1.0
  Ga  Ga38  1  0.750  0.512  0.371  1.0
  Ga  Ga39  1  0.750  0.988  0.871  1.0
  Ga  Ga40  1  0.250  0.643  0.093  1.0
  Ga  Ga41  1  0.250  0.857  0.593  1.0
  Ga  Ga42  1  0.750  0.357  0.907  1.0
  Ga  Ga43  1  0.750  0.143  0.407  1.0
  Ga  Ga44  1  0.250  0.385  0.897  1.0
  Ga  Ga45  1  0.250  0.115  0.397  1.0
  Ga  Ga46  1  0.750  0.615  0.103  1.0
  Ga  Ga47  1  0.750  0.885  0.603  1.0
[/CIF]
.
The structure described by HfCrGa2 crystallizes in the orthorhombic Pnma space group. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded in a 12-coordinate geometry to one Cr(2), three equivalent Cr(1), one Ga(4), one Ga(5), two equivalent Ga(1), two equivalent Ga(2), and two equivalent Ga(3) atoms. In the second Hf site, Hf(2) is bonded in a 7-coordinate geometry to two equivalent Cr(2), four equivalent Cr(1), one Ga(2), one Ga(3), one Ga(4), two equivalent Ga(1), and two equivalent Ga(5) atoms. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 12-coordinate geometry to two equivalent Hf(2), three equivalent Hf(1), one Cr(2), one Ga(2), one Ga(3), one Ga(4), one Ga(5), and two equivalent Ga(1) atoms. In the second Cr site, Cr(2) is bonded to two equivalent Hf(1), two equivalent Hf(2), two equivalent Cr(1), two equivalent Ga(1), two equivalent Ga(4), and two equivalent Ga(5) atoms to form distorted face-sharing CrHf4Cr2Ga6 cuboctahedra. There are five inequivalent Ga sites. In the first Ga site, Ga(2) is bonded in a 11-coordinate geometry to one Hf(2), four equivalent Hf(1), two equivalent Cr(1), one Ga(3), one Ga(4), and two equivalent Ga(1) atoms. In the second Ga site, Ga(3) is bonded in a 11-coordinate geometry to one Hf(2), four equivalent Hf(1), two equivalent Cr(1), one Ga(2), one Ga(5), and two equivalent Ga(1) atoms. In the third Ga site, Ga(4) is bonded in a 7-coordinate geometry to one Hf(2), two equivalent Hf(1), two equivalent Cr(1), two equivalent Cr(2), and one Ga(2) atom. In the fourth Ga site, Ga(5) is bonded in a 8-coordinate geometry to two equivalent Hf(1), two equivalent Hf(2), two equivalent Cr(1), two equivalent Cr(2), and one Ga(3) atom. In the fifth Ga site, Ga(1) is bonded in a 6-coordinate geometry to one Hf(2), two equivalent Hf(1), one Cr(2), two equivalent Cr(1), one Ga(2), and one Ga(3) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_HfCrGa2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.542
_cell_length_b   9.091
_cell_length_c   9.992
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   775.908
_cell_formula_units_Z   12
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  0.474  0.166  0.952  1.0
  Hf  Hf1  1  0.026  0.334  0.452  1.0
  Hf  Hf2  1  0.974  0.834  0.048  1.0
  Hf  Hf3  1  0.526  0.666  0.548  1.0
  Hf  Hf4  1  0.526  0.834  0.048  1.0
  Hf  Hf5  1  0.974  0.666  0.548  1.0
  Hf  Hf6  1  0.026  0.166  0.952  1.0
  Hf  Hf7  1  0.474  0.334  0.452  1.0
  Hf  Hf8  1  0.250  0.164  0.680  1.0
  Hf  Hf9  1  0.250  0.336  0.180  1.0
  Hf  Hf10  1  0.750  0.836  0.320  1.0
  Hf  Hf11  1  0.750  0.664  0.820  1.0
  Cr  Cr12  1  0.500  0.425  0.757  1.0
  Cr  Cr13  1  1.000  0.075  0.257  1.0
  Cr  Cr14  1  0.000  0.575  0.243  1.0
  Cr  Cr15  1  0.500  0.925  0.743  1.0
  Cr  Cr16  1  0.500  0.575  0.243  1.0
  Cr  Cr17  1  0.000  0.925  0.743  1.0
  Cr  Cr18  1  1.000  0.425  0.757  1.0
  Cr  Cr19  1  0.500  0.075  0.257  1.0
  Cr  Cr20  1  0.000  0.000  0.500  1.0
  Cr  Cr21  1  0.500  0.500  0.000  1.0
  Cr  Cr22  1  0.500  0.000  0.500  1.0
  Cr  Cr23  1  0.000  0.500  0.000  1.0
  Ga  Ga24  1  0.925  0.178  0.680  1.0
  Ga  Ga25  1  0.575  0.322  0.180  1.0
  Ga  Ga26  1  0.425  0.822  0.320  1.0
  Ga  Ga27  1  0.075  0.678  0.820  1.0
  Ga  Ga28  1  0.075  0.822  0.320  1.0
  Ga  Ga29  1  0.425  0.678  0.820  1.0
  Ga  Ga30  1  0.575  0.178  0.680  1.0
  Ga  Ga31  1  0.925  0.322  0.180  1.0
  Ga  Ga32  1  0.250  0.568  0.381  1.0
  Ga  Ga33  1  0.250  0.932  0.881  1.0
  Ga  Ga34  1  0.750  0.432  0.619  1.0
  Ga  Ga35  1  0.750  0.068  0.119  1.0
  Ga  Ga36  1  0.250  0.488  0.629  1.0
  Ga  Ga37  1  0.250  0.012  0.129  1.0
  Ga  Ga38  1  0.750  0.512  0.371  1.0
  Ga  Ga39  1  0.750  0.988  0.871  1.0
  Ga  Ga40  1  0.250  0.643  0.093  1.0
  Ga  Ga41  1  0.250  0.857  0.593  1.0
  Ga  Ga42  1  0.750  0.357  0.907  1.0
  Ga  Ga43  1  0.750  0.143  0.407  1.0
  Ga  Ga44  1  0.250  0.385  0.897  1.0
  Ga  Ga45  1  0.250  0.115  0.397  1.0
  Ga  Ga46  1  0.750  0.615  0.103  1.0
  Ga  Ga47  1  0.750  0.885  0.603  1.0
[/CIF]
.