The crystal structure described by Hf11Ga10 crystallizes in the tetragonal I4/mmm space group. There are four inequivalent Hf sites. In the first Hf site, Hf(1) is bonded in a 9-coordinate geometry to one Ga(2), four equivalent Ga(3), and four equivalent Ga(5) atoms. In the second Hf site, Hf(2) is bonded to one Ga(3), two equivalent Ga(2), two equivalent Ga(4), and two equivalent Ga(5) atoms to form a mixture of distorted edge and face-sharing HfGa7 pentagonal bipyramids. In the third Hf site, Hf(3) is bonded in a 7-coordinate geometry to one Ga(1), one Ga(2), one Ga(4), and four equivalent Ga(5) atoms. In the fourth Hf site, Hf(4) is bonded in a 7-coordinate geometry to one Ga(1), two equivalent Ga(3), two equivalent Ga(4), and two equivalent Ga(5) atoms. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to four equivalent Hf(3) and four equivalent Hf(4) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to one Hf(1), four equivalent Hf(2), and four equivalent Hf(3) atoms. In the third Ga site, Ga(3) is bonded in a 11-coordinate geometry to one Hf(2), two equivalent Hf(1), four equivalent Hf(4), two equivalent Ga(3), and two equivalent Ga(5) atoms. In the fourth Ga site, Ga(4) is bonded in a 8-coordinate geometry to two equivalent Hf(2), two equivalent Hf(3), and four equivalent Hf(4) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Hf(1), one Hf(2), two equivalent Hf(4), four equivalent Hf(3), one Ga(3), and one Ga(5) atom. is represented by the CIF file [CIF]
data_Hf11Ga10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.324
_cell_length_b   10.324
_cell_length_c   10.324
_cell_angle_alpha   120.328
_cell_angle_beta   120.328
_cell_angle_gamma   89.433
_symmetry_Int_Tables_number   1
_cell_volume   774.093
_cell_formula_units_Z   2
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  0.323  0.323  0.000  1.0
  Hf  Hf1  1  0.677  0.677  0.000  1.0
  Hf  Hf2  1  0.175  0.175  0.350  1.0
  Hf  Hf3  1  0.175  0.825  0.000  1.0
  Hf  Hf4  1  0.825  0.175  0.000  1.0
  Hf  Hf5  1  0.825  0.825  0.650  1.0
  Hf  Hf6  1  0.439  0.188  0.251  1.0
  Hf  Hf7  1  0.188  0.937  0.749  1.0
  Hf  Hf8  1  0.188  0.439  0.251  1.0
  Hf  Hf9  1  0.561  0.812  0.749  1.0
  Hf  Hf10  1  0.063  0.812  0.251  1.0
  Hf  Hf11  1  0.812  0.063  0.251  1.0
  Hf  Hf12  1  0.812  0.561  0.749  1.0
  Hf  Hf13  1  0.937  0.188  0.749  1.0
  Hf  Hf14  1  0.730  0.397  0.334  1.0
  Hf  Hf15  1  0.397  0.063  0.666  1.0
  Hf  Hf16  1  0.397  0.730  0.334  1.0
  Hf  Hf17  1  0.270  0.603  0.666  1.0
  Hf  Hf18  1  0.937  0.603  0.334  1.0
  Hf  Hf19  1  0.603  0.937  0.334  1.0
  Hf  Hf20  1  0.603  0.270  0.666  1.0
  Hf  Hf21  1  0.063  0.397  0.666  1.0
  Ga  Ga22  1  0.750  0.250  0.500  1.0
  Ga  Ga23  1  0.250  0.750  0.500  1.0
  Ga  Ga24  1  0.108  0.108  0.000  1.0
  Ga  Ga25  1  0.892  0.892  0.000  1.0
  Ga  Ga26  1  0.373  0.373  0.746  1.0
  Ga  Ga27  1  0.373  0.627  0.000  1.0
  Ga  Ga28  1  0.627  0.373  0.000  1.0
  Ga  Ga29  1  0.627  0.627  0.254  1.0
  Ga  Ga30  1  0.000  0.357  0.357  1.0
  Ga  Ga31  1  0.357  0.000  0.357  1.0
  Ga  Ga32  1  0.643  0.000  0.643  1.0
  Ga  Ga33  1  0.000  0.643  0.643  1.0
  Ga  Ga34  1  0.533  0.533  0.413  1.0
  Ga  Ga35  1  0.533  0.120  0.000  1.0
  Ga  Ga36  1  0.120  0.533  0.000  1.0
  Ga  Ga37  1  0.467  0.880  0.000  1.0
  Ga  Ga38  1  0.880  0.467  0.000  1.0
  Ga  Ga39  1  0.880  0.880  0.413  1.0
  Ga  Ga40  1  0.467  0.467  0.587  1.0
  Ga  Ga41  1  0.120  0.120  0.587  1.0
[/CIF]
.
The crystal structure described by Hf11Ga10 crystallizes in the tetragonal I4/mmm space group. There are four inequivalent Hf sites. In the first Hf site, Hf(1) is bonded in a 9-coordinate geometry to one Ga(2), four equivalent Ga(3), and four equivalent Ga(5) atoms. In the second Hf site, Hf(2) is bonded to one Ga(3), two equivalent Ga(2), two equivalent Ga(4), and two equivalent Ga(5) atoms to form a mixture of distorted edge and face-sharing HfGa7 pentagonal bipyramids. In the third Hf site, Hf(3) is bonded in a 7-coordinate geometry to one Ga(1), one Ga(2), one Ga(4), and four equivalent Ga(5) atoms. In the fourth Hf site, Hf(4) is bonded in a 7-coordinate geometry to one Ga(1), two equivalent Ga(3), two equivalent Ga(4), and two equivalent Ga(5) atoms. There are five inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to four equivalent Hf(3) and four equivalent Hf(4) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to one Hf(1), four equivalent Hf(2), and four equivalent Hf(3) atoms. In the third Ga site, Ga(3) is bonded in a 11-coordinate geometry to one Hf(2), two equivalent Hf(1), four equivalent Hf(4), two equivalent Ga(3), and two equivalent Ga(5) atoms. In the fourth Ga site, Ga(4) is bonded in a 8-coordinate geometry to two equivalent Hf(2), two equivalent Hf(3), and four equivalent Hf(4) atoms. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Hf(1), one Hf(2), two equivalent Hf(4), four equivalent Hf(3), one Ga(3), and one Ga(5) atom. is represented by the CIF file [CIF]
data_Hf11Ga10
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.324
_cell_length_b   10.324
_cell_length_c   10.324
_cell_angle_alpha   120.328
_cell_angle_beta   120.328
_cell_angle_gamma   89.433
_symmetry_Int_Tables_number   1
_cell_volume   774.093
_cell_formula_units_Z   2
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  0.323  0.323  0.000  1.0
  Hf  Hf1  1  0.677  0.677  0.000  1.0
  Hf  Hf2  1  0.175  0.175  0.350  1.0
  Hf  Hf3  1  0.175  0.825  0.000  1.0
  Hf  Hf4  1  0.825  0.175  0.000  1.0
  Hf  Hf5  1  0.825  0.825  0.650  1.0
  Hf  Hf6  1  0.439  0.188  0.251  1.0
  Hf  Hf7  1  0.188  0.937  0.749  1.0
  Hf  Hf8  1  0.188  0.439  0.251  1.0
  Hf  Hf9  1  0.561  0.812  0.749  1.0
  Hf  Hf10  1  0.063  0.812  0.251  1.0
  Hf  Hf11  1  0.812  0.063  0.251  1.0
  Hf  Hf12  1  0.812  0.561  0.749  1.0
  Hf  Hf13  1  0.937  0.188  0.749  1.0
  Hf  Hf14  1  0.730  0.397  0.334  1.0
  Hf  Hf15  1  0.397  0.063  0.666  1.0
  Hf  Hf16  1  0.397  0.730  0.334  1.0
  Hf  Hf17  1  0.270  0.603  0.666  1.0
  Hf  Hf18  1  0.937  0.603  0.334  1.0
  Hf  Hf19  1  0.603  0.937  0.334  1.0
  Hf  Hf20  1  0.603  0.270  0.666  1.0
  Hf  Hf21  1  0.063  0.397  0.666  1.0
  Ga  Ga22  1  0.750  0.250  0.500  1.0
  Ga  Ga23  1  0.250  0.750  0.500  1.0
  Ga  Ga24  1  0.108  0.108  0.000  1.0
  Ga  Ga25  1  0.892  0.892  0.000  1.0
  Ga  Ga26  1  0.373  0.373  0.746  1.0
  Ga  Ga27  1  0.373  0.627  0.000  1.0
  Ga  Ga28  1  0.627  0.373  0.000  1.0
  Ga  Ga29  1  0.627  0.627  0.254  1.0
  Ga  Ga30  1  0.000  0.357  0.357  1.0
  Ga  Ga31  1  0.357  0.000  0.357  1.0
  Ga  Ga32  1  0.643  0.000  0.643  1.0
  Ga  Ga33  1  0.000  0.643  0.643  1.0
  Ga  Ga34  1  0.533  0.533  0.413  1.0
  Ga  Ga35  1  0.533  0.120  0.000  1.0
  Ga  Ga36  1  0.120  0.533  0.000  1.0
  Ga  Ga37  1  0.467  0.880  0.000  1.0
  Ga  Ga38  1  0.880  0.467  0.000  1.0
  Ga  Ga39  1  0.880  0.880  0.413  1.0
  Ga  Ga40  1  0.467  0.467  0.587  1.0
  Ga  Ga41  1  0.120  0.120  0.587  1.0
[/CIF]
.