The crystal structure described by Ce19Ga13 crystallizes in the tetragonal P4 space group. There are seven inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 6-coordinate geometry to one Ce(3), one Ga(3), one Ga(5), and three equivalent Ga(1) atoms. In the second Ce site, Ce(2) is bonded in a 4-coordinate geometry to one Ce(4), one Ga(4), one Ga(6), one Ga(7), and three equivalent Ga(2) atoms. In the third Ce site, Ce(3) is bonded in a 4-coordinate geometry to one Ce(1), one Ga(3), one Ga(5), one Ga(7), and three equivalent Ga(2) atoms. In the fourth Ce site, Ce(4) is bonded in a 6-coordinate geometry to one Ce(2), one Ga(4), one Ga(6), and three equivalent Ga(1) atoms. In the fifth Ce site, Ce(5) is bonded to one Ga(3), one Ga(4), and four equivalent Ga(1) atoms to form corner-sharing CeGa6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the sixth Ce site, Ce(6) is bonded to one Ga(5), one Ga(6), and four equivalent Ga(1) atoms to form distorted corner-sharing CeGa6 octahedra. The corner-sharing octahedral tilt angles range from 0-52°. In the seventh Ce site, Ce(7) is bonded to one Ga(5), one Ga(6), and four equivalent Ga(2) atoms to form corner-sharing CeGa6 octahedra. The corner-sharing octahedra are not tilted. There are seven inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to one Ce(5), one Ce(6), three equivalent Ce(1), and three equivalent Ce(4) atoms. In the second Ga site, Ga(2) is bonded in a 7-coordinate geometry to one Ce(7), three equivalent Ce(2), and three equivalent Ce(3) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Ce(5), four equivalent Ce(1), four equivalent Ce(3), and one Ga(7) atom. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Ce(5), four equivalent Ce(2), four equivalent Ce(4), and one Ga(7) atom. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Ce(6), one Ce(7), four equivalent Ce(1), and four equivalent Ce(3) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Ce(6), one Ce(7), four equivalent Ce(2), and four equivalent Ce(4) atoms. In the seventh Ga site, Ga(7) is bonded in a distorted q6 geometry to four equivalent Ce(2), four equivalent Ce(3), one Ga(3), and one Ga(4) atom. is represented by the CIF file [CIF]
data_Ce19Ga13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.292
_cell_length_b   8.292
_cell_length_c   11.603
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   797.770
_cell_formula_units_Z   1
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
  Ce  Ce0  1  0.916  0.417  0.414  1.0
  Ce  Ce1  1  0.566  0.408  0.910  1.0
  Ce  Ce2  1  0.934  0.092  0.910  1.0
  Ce  Ce3  1  0.584  0.083  0.414  1.0
  Ce  Ce4  1  0.408  0.934  0.910  1.0
  Ce  Ce5  1  0.083  0.916  0.414  1.0
  Ce  Ce6  1  0.417  0.584  0.414  1.0
  Ce  Ce7  1  0.092  0.566  0.910  1.0
  Ce  Ce8  1  0.092  0.567  0.589  1.0
  Ce  Ce9  1  0.417  0.584  0.086  1.0
  Ce  Ce10  1  0.083  0.916  0.086  1.0
  Ce  Ce11  1  0.408  0.933  0.589  1.0
  Ce  Ce12  1  0.584  0.083  0.086  1.0
  Ce  Ce13  1  0.933  0.092  0.589  1.0
  Ce  Ce14  1  0.567  0.408  0.589  1.0
  Ce  Ce15  1  0.916  0.417  0.086  1.0
  Ce  Ce16  1  0.250  0.250  0.253  1.0
  Ce  Ce17  1  0.750  0.750  0.251  1.0
  Ce  Ce18  1  0.750  0.750  0.752  1.0
  Ga  Ga19  1  0.123  0.621  0.250  1.0
  Ga  Ga20  1  0.383  0.636  0.749  1.0
  Ga  Ga21  1  0.117  0.864  0.749  1.0
  Ga  Ga22  1  0.377  0.879  0.250  1.0
  Ga  Ga23  1  0.636  0.117  0.749  1.0
  Ga  Ga24  1  0.879  0.123  0.250  1.0
  Ga  Ga25  1  0.621  0.377  0.250  1.0
  Ga  Ga26  1  0.864  0.383  0.749  1.0
  Ga  Ga27  1  0.250  0.250  0.511  1.0
  Ga  Ga28  1  0.250  0.250  0.992  1.0
  Ga  Ga29  1  0.750  0.750  0.501  1.0
  Ga  Ga30  1  0.750  0.750  0.002  1.0
  Ga  Ga31  1  0.250  0.250  0.750  1.0
[/CIF]
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The crystal structure described by Ce19Ga13 crystallizes in the tetragonal P4 space group. There are seven inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 6-coordinate geometry to one Ce(3), one Ga(3), one Ga(5), and three equivalent Ga(1) atoms. In the second Ce site, Ce(2) is bonded in a 4-coordinate geometry to one Ce(4), one Ga(4), one Ga(6), one Ga(7), and three equivalent Ga(2) atoms. In the third Ce site, Ce(3) is bonded in a 4-coordinate geometry to one Ce(1), one Ga(3), one Ga(5), one Ga(7), and three equivalent Ga(2) atoms. In the fourth Ce site, Ce(4) is bonded in a 6-coordinate geometry to one Ce(2), one Ga(4), one Ga(6), and three equivalent Ga(1) atoms. In the fifth Ce site, Ce(5) is bonded to one Ga(3), one Ga(4), and four equivalent Ga(1) atoms to form corner-sharing CeGa6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the sixth Ce site, Ce(6) is bonded to one Ga(5), one Ga(6), and four equivalent Ga(1) atoms to form distorted corner-sharing CeGa6 octahedra. The corner-sharing octahedral tilt angles range from 0-52°. In the seventh Ce site, Ce(7) is bonded to one Ga(5), one Ga(6), and four equivalent Ga(2) atoms to form corner-sharing CeGa6 octahedra. The corner-sharing octahedra are not tilted. There are seven inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 8-coordinate geometry to one Ce(5), one Ce(6), three equivalent Ce(1), and three equivalent Ce(4) atoms. In the second Ga site, Ga(2) is bonded in a 7-coordinate geometry to one Ce(7), three equivalent Ce(2), and three equivalent Ce(3) atoms. In the third Ga site, Ga(3) is bonded in a 10-coordinate geometry to one Ce(5), four equivalent Ce(1), four equivalent Ce(3), and one Ga(7) atom. In the fourth Ga site, Ga(4) is bonded in a 10-coordinate geometry to one Ce(5), four equivalent Ce(2), four equivalent Ce(4), and one Ga(7) atom. In the fifth Ga site, Ga(5) is bonded in a 10-coordinate geometry to one Ce(6), one Ce(7), four equivalent Ce(1), and four equivalent Ce(3) atoms. In the sixth Ga site, Ga(6) is bonded in a 10-coordinate geometry to one Ce(6), one Ce(7), four equivalent Ce(2), and four equivalent Ce(4) atoms. In the seventh Ga site, Ga(7) is bonded in a distorted q6 geometry to four equivalent Ce(2), four equivalent Ce(3), one Ga(3), and one Ga(4) atom. is represented by the CIF file [CIF]
data_Ce19Ga13
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.292
_cell_length_b   8.292
_cell_length_c   11.603
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   797.770
_cell_formula_units_Z   1
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
  Ce  Ce0  1  0.916  0.417  0.414  1.0
  Ce  Ce1  1  0.566  0.408  0.910  1.0
  Ce  Ce2  1  0.934  0.092  0.910  1.0
  Ce  Ce3  1  0.584  0.083  0.414  1.0
  Ce  Ce4  1  0.408  0.934  0.910  1.0
  Ce  Ce5  1  0.083  0.916  0.414  1.0
  Ce  Ce6  1  0.417  0.584  0.414  1.0
  Ce  Ce7  1  0.092  0.566  0.910  1.0
  Ce  Ce8  1  0.092  0.567  0.589  1.0
  Ce  Ce9  1  0.417  0.584  0.086  1.0
  Ce  Ce10  1  0.083  0.916  0.086  1.0
  Ce  Ce11  1  0.408  0.933  0.589  1.0
  Ce  Ce12  1  0.584  0.083  0.086  1.0
  Ce  Ce13  1  0.933  0.092  0.589  1.0
  Ce  Ce14  1  0.567  0.408  0.589  1.0
  Ce  Ce15  1  0.916  0.417  0.086  1.0
  Ce  Ce16  1  0.250  0.250  0.253  1.0
  Ce  Ce17  1  0.750  0.750  0.251  1.0
  Ce  Ce18  1  0.750  0.750  0.752  1.0
  Ga  Ga19  1  0.123  0.621  0.250  1.0
  Ga  Ga20  1  0.383  0.636  0.749  1.0
  Ga  Ga21  1  0.117  0.864  0.749  1.0
  Ga  Ga22  1  0.377  0.879  0.250  1.0
  Ga  Ga23  1  0.636  0.117  0.749  1.0
  Ga  Ga24  1  0.879  0.123  0.250  1.0
  Ga  Ga25  1  0.621  0.377  0.250  1.0
  Ga  Ga26  1  0.864  0.383  0.749  1.0
  Ga  Ga27  1  0.250  0.250  0.511  1.0
  Ga  Ga28  1  0.250  0.250  0.992  1.0
  Ga  Ga29  1  0.750  0.750  0.501  1.0
  Ga  Ga30  1  0.750  0.750  0.002  1.0
  Ga  Ga31  1  0.250  0.250  0.750  1.0
[/CIF]
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