The crystal structure described by La15RuGe9 crystallizes in the hexagonal P6_3mc space group. There are four inequivalent La sites. In the first La site, La(1) is bonded to two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms to form a mixture of distorted corner, face, and edge-sharing LaGe6 octahedra. The corner-sharing octahedral tilt angles range from 32-35°. In the second La site, La(2) is bonded in a 4-coordinate geometry to one Ru(1), two equivalent Ge(2), and three equivalent Ge(3) atoms. In the third La site, La(3) is bonded in a 4-coordinate geometry to one Ge(2) and three equivalent Ge(1) atoms. In the fourth La site, La(4) is bonded in a 5-coordinate geometry to one Ru(1), one Ge(1), one Ge(2), and two equivalent Ge(3) atoms. Ru(1) is bonded in an octahedral geometry to three equivalent La(2) and three equivalent La(4) atoms. There are three inequivalent Ge sites. In the first Ge site, Ge(2) is bonded in a 8-coordinate geometry to one La(3), one La(4), two equivalent La(2), and four equivalent La(1) atoms. In the second Ge site, Ge(3) is bonded in a 9-coordinate geometry to two equivalent La(4), three equivalent La(2), and four equivalent La(1) atoms. In the third Ge site, Ge(1) is bonded in a 8-coordinate geometry to one La(4), three equivalent La(3), and four equivalent La(1) atoms. is represented by the CIF file [CIF]
data_La15Ge9Ru
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.077
_cell_length_b   15.670
_cell_length_c   15.670
_cell_angle_alpha   119.999
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   1504.838
_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
  La  La0  1  0.983  0.657  0.675  1.0
  La  La1  1  0.983  0.018  0.343  1.0
  La  La2  1  0.483  0.343  0.325  1.0
  La  La3  1  0.983  0.018  0.675  1.0
  La  La4  1  0.983  0.325  0.982  1.0
  La  La5  1  0.483  0.982  0.657  1.0
  La  La6  1  0.983  0.325  0.343  1.0
  La  La7  1  0.483  0.982  0.325  1.0
  La  La8  1  0.483  0.675  0.018  1.0
  La  La9  1  0.483  0.675  0.657  1.0
  La  La10  1  0.983  0.657  0.982  1.0
  La  La11  1  0.483  0.343  0.018  1.0
  La  La12  1  0.729  0.417  0.833  1.0
  La  La13  1  0.729  0.417  0.583  1.0
  La  La14  1  0.229  0.583  0.167  1.0
  La  La15  1  0.729  0.167  0.583  1.0
  La  La16  1  0.229  0.583  0.417  1.0
  La  La17  1  0.229  0.833  0.417  1.0
  La  La18  1  0.704  0.082  0.165  1.0
  La  La19  1  0.704  0.082  0.918  1.0
  La  La20  1  0.204  0.918  0.835  1.0
  La  La21  1  0.704  0.835  0.918  1.0
  La  La22  1  0.204  0.918  0.082  1.0
  La  La23  1  0.204  0.165  0.082  1.0
  La  La24  1  0.762  0.749  0.499  1.0
  La  La25  1  0.762  0.749  0.251  1.0
  La  La26  1  0.262  0.251  0.501  1.0
  La  La27  1  0.762  0.501  0.251  1.0
  La  La28  1  0.262  0.251  0.749  1.0
  La  La29  1  0.262  0.499  0.749  1.0
  Ge  Ge30  1  0.760  0.869  0.738  1.0
  Ge  Ge31  1  0.760  0.869  0.131  1.0
  Ge  Ge32  1  0.260  0.131  0.262  1.0
  Ge  Ge33  1  0.760  0.262  0.131  1.0
  Ge  Ge34  1  0.260  0.131  0.869  1.0
  Ge  Ge35  1  0.260  0.738  0.869  1.0
  Ge  Ge36  1  0.696  0.198  0.396  1.0
  Ge  Ge37  1  0.696  0.198  0.802  1.0
  Ge  Ge38  1  0.196  0.802  0.604  1.0
  Ge  Ge39  1  0.696  0.604  0.802  1.0
  Ge  Ge40  1  0.196  0.802  0.198  1.0
  Ge  Ge41  1  0.196  0.396  0.198  1.0
  Ge  Ge42  1  0.742  0.533  0.065  1.0
  Ge  Ge43  1  0.742  0.533  0.467  1.0
  Ge  Ge44  1  0.242  0.467  0.935  1.0
  Ge  Ge45  1  0.742  0.935  0.467  1.0
  Ge  Ge46  1  0.242  0.467  0.533  1.0
  Ge  Ge47  1  0.242  0.065  0.533  1.0
  Ru  Ru48  1  0.997  0.667  0.333  1.0
  Ru  Ru49  1  0.497  0.333  0.667  1.0
[/CIF]
.
The crystal structure described by La15RuGe9 crystallizes in the hexagonal P6_3mc space group. There are four inequivalent La sites. In the first La site, La(1) is bonded to two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms to form a mixture of distorted corner, face, and edge-sharing LaGe6 octahedra. The corner-sharing octahedral tilt angles range from 32-35°. In the second La site, La(2) is bonded in a 4-coordinate geometry to one Ru(1), two equivalent Ge(2), and three equivalent Ge(3) atoms. In the third La site, La(3) is bonded in a 4-coordinate geometry to one Ge(2) and three equivalent Ge(1) atoms. In the fourth La site, La(4) is bonded in a 5-coordinate geometry to one Ru(1), one Ge(1), one Ge(2), and two equivalent Ge(3) atoms. Ru(1) is bonded in an octahedral geometry to three equivalent La(2) and three equivalent La(4) atoms. There are three inequivalent Ge sites. In the first Ge site, Ge(2) is bonded in a 8-coordinate geometry to one La(3), one La(4), two equivalent La(2), and four equivalent La(1) atoms. In the second Ge site, Ge(3) is bonded in a 9-coordinate geometry to two equivalent La(4), three equivalent La(2), and four equivalent La(1) atoms. In the third Ge site, Ge(1) is bonded in a 8-coordinate geometry to one La(4), three equivalent La(3), and four equivalent La(1) atoms. is represented by the CIF file [CIF]
data_La15Ge9Ru
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   7.077
_cell_length_b   15.670
_cell_length_c   15.670
_cell_angle_alpha   119.999
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   1504.838
_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
  La  La0  1  0.983  0.657  0.675  1.0
  La  La1  1  0.983  0.018  0.343  1.0
  La  La2  1  0.483  0.343  0.325  1.0
  La  La3  1  0.983  0.018  0.675  1.0
  La  La4  1  0.983  0.325  0.982  1.0
  La  La5  1  0.483  0.982  0.657  1.0
  La  La6  1  0.983  0.325  0.343  1.0
  La  La7  1  0.483  0.982  0.325  1.0
  La  La8  1  0.483  0.675  0.018  1.0
  La  La9  1  0.483  0.675  0.657  1.0
  La  La10  1  0.983  0.657  0.982  1.0
  La  La11  1  0.483  0.343  0.018  1.0
  La  La12  1  0.729  0.417  0.833  1.0
  La  La13  1  0.729  0.417  0.583  1.0
  La  La14  1  0.229  0.583  0.167  1.0
  La  La15  1  0.729  0.167  0.583  1.0
  La  La16  1  0.229  0.583  0.417  1.0
  La  La17  1  0.229  0.833  0.417  1.0
  La  La18  1  0.704  0.082  0.165  1.0
  La  La19  1  0.704  0.082  0.918  1.0
  La  La20  1  0.204  0.918  0.835  1.0
  La  La21  1  0.704  0.835  0.918  1.0
  La  La22  1  0.204  0.918  0.082  1.0
  La  La23  1  0.204  0.165  0.082  1.0
  La  La24  1  0.762  0.749  0.499  1.0
  La  La25  1  0.762  0.749  0.251  1.0
  La  La26  1  0.262  0.251  0.501  1.0
  La  La27  1  0.762  0.501  0.251  1.0
  La  La28  1  0.262  0.251  0.749  1.0
  La  La29  1  0.262  0.499  0.749  1.0
  Ge  Ge30  1  0.760  0.869  0.738  1.0
  Ge  Ge31  1  0.760  0.869  0.131  1.0
  Ge  Ge32  1  0.260  0.131  0.262  1.0
  Ge  Ge33  1  0.760  0.262  0.131  1.0
  Ge  Ge34  1  0.260  0.131  0.869  1.0
  Ge  Ge35  1  0.260  0.738  0.869  1.0
  Ge  Ge36  1  0.696  0.198  0.396  1.0
  Ge  Ge37  1  0.696  0.198  0.802  1.0
  Ge  Ge38  1  0.196  0.802  0.604  1.0
  Ge  Ge39  1  0.696  0.604  0.802  1.0
  Ge  Ge40  1  0.196  0.802  0.198  1.0
  Ge  Ge41  1  0.196  0.396  0.198  1.0
  Ge  Ge42  1  0.742  0.533  0.065  1.0
  Ge  Ge43  1  0.742  0.533  0.467  1.0
  Ge  Ge44  1  0.242  0.467  0.935  1.0
  Ge  Ge45  1  0.742  0.935  0.467  1.0
  Ge  Ge46  1  0.242  0.467  0.533  1.0
  Ge  Ge47  1  0.242  0.065  0.533  1.0
  Ru  Ru48  1  0.997  0.667  0.333  1.0
  Ru  Ru49  1  0.497  0.333  0.667  1.0
[/CIF]
.