The material described by LuNi2Ga is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 12-coordinate geometry to one Lu(2), nine equivalent Ni(1), and three equivalent Ga(3) atoms. In the second Lu site, Lu(2) is bonded in a 20-coordinate geometry to two equivalent Lu(1), twelve equivalent Ni(1), three equivalent Ga(1), and three equivalent Ga(2) atoms. Ni(1) is bonded to two equivalent Lu(2), three equivalent Lu(1), four equivalent Ni(1), one Ga(1), one Ga(2), and one Ga(3) atom to form distorted NiLu5Ga3Ni4 cuboctahedra that share corners with two equivalent Ga(3)Lu6Ni6 cuboctahedra, corners with fifteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with eight equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, faces with three equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eleven equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the third Ga site, Ga(3) is bonded to six equivalent Lu(1) and six equivalent Ni(1) atoms to form GaLu6Ni6 cuboctahedra that share corners with twelve equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with six equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eighteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra. is represented by the CIF card [CIF]
data_LuGaNi2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.085
_cell_length_b   5.085
_cell_length_c   15.612
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.998
_symmetry_Int_Tables_number   1
_cell_volume   349.559
_cell_formula_units_Z   6
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  0.333  0.667  0.543  1.0
  Lu  Lu1  1  0.667  0.333  0.457  1.0
  Lu  Lu2  1  0.667  0.333  0.043  1.0
  Lu  Lu3  1  0.333  0.667  0.957  1.0
  Lu  Lu4  1  0.333  0.667  0.750  1.0
  Lu  Lu5  1  0.667  0.333  0.250  1.0
  Ga  Ga6  1  0.000  0.000  0.250  1.0
  Ga  Ga7  1  1.000  0.000  0.750  1.0
  Ga  Ga8  1  0.333  0.667  0.250  1.0
  Ga  Ga9  1  0.667  0.333  0.750  1.0
  Ga  Ga10  1  0.000  0.000  0.000  1.0
  Ga  Ga11  1  0.000  0.000  0.500  1.0
  Ni  Ni12  1  0.169  0.338  0.126  1.0
  Ni  Ni13  1  0.831  0.662  0.874  1.0
  Ni  Ni14  1  0.662  0.831  0.126  1.0
  Ni  Ni15  1  0.831  0.662  0.626  1.0
  Ni  Ni16  1  0.338  0.169  0.874  1.0
  Ni  Ni17  1  0.169  0.338  0.374  1.0
  Ni  Ni18  1  0.169  0.831  0.126  1.0
  Ni  Ni19  1  0.338  0.169  0.626  1.0
  Ni  Ni20  1  0.831  0.169  0.874  1.0
  Ni  Ni21  1  0.662  0.831  0.374  1.0
  Ni  Ni22  1  0.831  0.169  0.626  1.0
  Ni  Ni23  1  0.169  0.831  0.374  1.0
[/CIF]
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The material described by LuNi2Ga is Frank-Kasper $\mu$ Phase-derived structured and crystallizes in the hexagonal P6_3/mmc space group. There are two inequivalent Lu sites. In the first Lu site, Lu(1) is bonded in a 12-coordinate geometry to one Lu(2), nine equivalent Ni(1), and three equivalent Ga(3) atoms. In the second Lu site, Lu(2) is bonded in a 20-coordinate geometry to two equivalent Lu(1), twelve equivalent Ni(1), three equivalent Ga(1), and three equivalent Ga(2) atoms. Ni(1) is bonded to two equivalent Lu(2), three equivalent Lu(1), four equivalent Ni(1), one Ga(1), one Ga(2), and one Ga(3) atom to form distorted NiLu5Ga3Ni4 cuboctahedra that share corners with two equivalent Ga(3)Lu6Ni6 cuboctahedra, corners with fifteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with eight equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, faces with three equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eleven equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra. There are three inequivalent Ga sites. In the first Ga site, Ga(1) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the second Ga site, Ga(2) is bonded in a 9-coordinate geometry to three equivalent Lu(2) and six equivalent Ni(1) atoms. In the third Ga site, Ga(3) is bonded to six equivalent Lu(1) and six equivalent Ni(1) atoms to form GaLu6Ni6 cuboctahedra that share corners with twelve equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra, edges with six equivalent Ga(3)Lu6Ni6 cuboctahedra, and faces with eighteen equivalent Ni(1)Lu5Ga3Ni4 cuboctahedra. is represented by the CIF card [CIF]
data_LuGaNi2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.085
_cell_length_b   5.085
_cell_length_c   15.612
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   119.998
_symmetry_Int_Tables_number   1
_cell_volume   349.559
_cell_formula_units_Z   6
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  0.333  0.667  0.543  1.0
  Lu  Lu1  1  0.667  0.333  0.457  1.0
  Lu  Lu2  1  0.667  0.333  0.043  1.0
  Lu  Lu3  1  0.333  0.667  0.957  1.0
  Lu  Lu4  1  0.333  0.667  0.750  1.0
  Lu  Lu5  1  0.667  0.333  0.250  1.0
  Ga  Ga6  1  0.000  0.000  0.250  1.0
  Ga  Ga7  1  1.000  0.000  0.750  1.0
  Ga  Ga8  1  0.333  0.667  0.250  1.0
  Ga  Ga9  1  0.667  0.333  0.750  1.0
  Ga  Ga10  1  0.000  0.000  0.000  1.0
  Ga  Ga11  1  0.000  0.000  0.500  1.0
  Ni  Ni12  1  0.169  0.338  0.126  1.0
  Ni  Ni13  1  0.831  0.662  0.874  1.0
  Ni  Ni14  1  0.662  0.831  0.126  1.0
  Ni  Ni15  1  0.831  0.662  0.626  1.0
  Ni  Ni16  1  0.338  0.169  0.874  1.0
  Ni  Ni17  1  0.169  0.338  0.374  1.0
  Ni  Ni18  1  0.169  0.831  0.126  1.0
  Ni  Ni19  1  0.338  0.169  0.626  1.0
  Ni  Ni20  1  0.831  0.169  0.874  1.0
  Ni  Ni21  1  0.662  0.831  0.374  1.0
  Ni  Ni22  1  0.831  0.169  0.626  1.0
  Ni  Ni23  1  0.169  0.831  0.374  1.0
[/CIF]
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