The crystal structure described by LuMn6Ge5Ga crystallizes in the hexagonal P6mm space group. Lu(1) is bonded to one Ga(1), one Ge(3), and six equivalent Ge(1) atoms to form distorted LuGaGe7 hexagonal bipyramids that share  a cornercorner with one Ge(3)LuMn6Ga hexagonal bipyramid and edges with six equivalent Lu(1)GaGe7 hexagonal bipyramids. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 6-coordinate geometry to two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to two equivalent Ga(1), two equivalent Ge(1), and two equivalent Ge(2) atoms. Ga(1) is bonded in a 8-coordinate geometry to one Lu(1), six equivalent Mn(2), and one Ge(3) atom. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to three equivalent Lu(1), three equivalent Mn(1), and three equivalent Mn(2) atoms. In the second Ge site, Ge(2) is bonded in a 6-coordinate geometry to three equivalent Mn(1) and three equivalent Mn(2) atoms. In the third Ge site, Ge(3) is bonded to one Lu(1), six equivalent Mn(1), and one Ga(1) atom to form distorted GeLuMn6Ga hexagonal bipyramids that share  a cornercorner with one Lu(1)GaGe7 hexagonal bipyramid and corners with six equivalent Ge(3)LuMn6Ga hexagonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuMn6GaGe5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.157
_cell_length_b   5.157
_cell_length_c   8.121
_cell_angle_alpha   90.003
_cell_angle_beta   90.006
_cell_angle_gamma   59.997
_symmetry_Int_Tables_number   1
_cell_volume   187.039
_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
  Lu  Lu0  1  1.000  0.000  0.999  1.0
  Mn  Mn1  1  0.500  0.500  0.249  1.0
  Mn  Mn2  1  0.500  0.000  0.249  1.0
  Mn  Mn3  1  1.000  0.500  0.249  1.0
  Mn  Mn4  1  0.500  0.500  0.751  1.0
  Mn  Mn5  1  0.500  0.000  0.751  1.0
  Mn  Mn6  1  1.000  0.500  0.751  1.0
  Ga  Ga7  1  1.000  0.000  0.656  1.0
  Ge  Ge8  1  0.667  0.667  0.999  1.0
  Ge  Ge9  1  0.333  0.333  0.999  1.0
  Ge  Ge10  1  0.667  0.667  0.502  1.0
  Ge  Ge11  1  0.333  0.333  0.502  1.0
  Ge  Ge12  1  0.000  0.000  0.341  1.0
[/CIF]
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The crystal structure described by LuMn6Ge5Ga crystallizes in the hexagonal P6mm space group. Lu(1) is bonded to one Ga(1), one Ge(3), and six equivalent Ge(1) atoms to form distorted LuGaGe7 hexagonal bipyramids that share  a cornercorner with one Ge(3)LuMn6Ga hexagonal bipyramid and edges with six equivalent Lu(1)GaGe7 hexagonal bipyramids. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded in a 6-coordinate geometry to two equivalent Ge(1), two equivalent Ge(2), and two equivalent Ge(3) atoms. In the second Mn site, Mn(2) is bonded in a 6-coordinate geometry to two equivalent Ga(1), two equivalent Ge(1), and two equivalent Ge(2) atoms. Ga(1) is bonded in a 8-coordinate geometry to one Lu(1), six equivalent Mn(2), and one Ge(3) atom. There are three inequivalent Ge sites. In the first Ge site, Ge(1) is bonded in a 9-coordinate geometry to three equivalent Lu(1), three equivalent Mn(1), and three equivalent Mn(2) atoms. In the second Ge site, Ge(2) is bonded in a 6-coordinate geometry to three equivalent Mn(1) and three equivalent Mn(2) atoms. In the third Ge site, Ge(3) is bonded to one Lu(1), six equivalent Mn(1), and one Ga(1) atom to form distorted GeLuMn6Ga hexagonal bipyramids that share  a cornercorner with one Lu(1)GaGe7 hexagonal bipyramid and corners with six equivalent Ge(3)LuMn6Ga hexagonal bipyramids. is represented by the Crystallographic Information File (CIF) [CIF]
data_LuMn6GaGe5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.157
_cell_length_b   5.157
_cell_length_c   8.121
_cell_angle_alpha   90.003
_cell_angle_beta   90.006
_cell_angle_gamma   59.997
_symmetry_Int_Tables_number   1
_cell_volume   187.039
_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
  Lu  Lu0  1  1.000  0.000  0.999  1.0
  Mn  Mn1  1  0.500  0.500  0.249  1.0
  Mn  Mn2  1  0.500  0.000  0.249  1.0
  Mn  Mn3  1  1.000  0.500  0.249  1.0
  Mn  Mn4  1  0.500  0.500  0.751  1.0
  Mn  Mn5  1  0.500  0.000  0.751  1.0
  Mn  Mn6  1  1.000  0.500  0.751  1.0
  Ga  Ga7  1  1.000  0.000  0.656  1.0
  Ge  Ge8  1  0.667  0.667  0.999  1.0
  Ge  Ge9  1  0.333  0.333  0.999  1.0
  Ge  Ge10  1  0.667  0.667  0.502  1.0
  Ge  Ge11  1  0.333  0.333  0.502  1.0
  Ge  Ge12  1  0.000  0.000  0.341  1.0
[/CIF]
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