The compound described by Ni15Cu4Ga is alpha La-derived structured and crystallizes in the tetragonal P4/mmm space group. There are six inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to eight equivalent Ni(4) and four equivalent Ga(1) atoms to form NiGa4Ni8 cuboctahedra that share corners with four equivalent Ni(1)Ga4Ni8 cuboctahedra, corners with eight equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with eight equivalent Cu(1)Ni12 cuboctahedra, edges with sixteen equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, faces with two equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(1)Ga4Ni8 cuboctahedra, faces with four equivalent Ga(1)Ni12 cuboctahedra, and faces with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra. In the second Ni site, Ni(2) is bonded to four equivalent Ni(4), four equivalent Ni(5), and four equivalent Cu(1) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(2)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(3)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(1)Ga4Ni8 cuboctahedra, edges with four equivalent Cu(2)Ni12 cuboctahedra, edges with four equivalent Ga(1)Ni12 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra,  a faceface with one Ni(3)Cu4Ni8 cuboctahedra,  a faceface with one Ni(1)Ga4Ni8 cuboctahedra, faces with four equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, and faces with four equivalent Cu(1)Ni12 cuboctahedra. In the third Ni site, Ni(3) is bonded to four equivalent Ni(5), four equivalent Ni(6), and four equivalent Cu(2) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(2)Cu4Ni8 cuboctahedra, corners with eight equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with four equivalent Cu(1)Ni12 cuboctahedra, edges with four equivalent Cu(2)Ni12 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(6)Cu4Ni8 cuboctahedra,  a faceface with one Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(6)Cu4Ni8 cuboctahedra, faces with four equivalent Cu(2)Ni12 cuboctahedra, and faces with five equivalent Ni(3)Cu4Ni8 cuboctahedra. In the fourth Ni site, Ni(4) is bonded to two equivalent Ni(1), two equivalent Ni(2), four equivalent Ni(4), two equivalent Cu(1), and two equivalent Ga(1) atoms to form NiGa2Cu2Ni8 cuboctahedra that share corners with four equivalent Ni(5)Cu4Ni8 cuboctahedra, corners with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Ni(1)Ga4Ni8 cuboctahedra, edges with four equivalent Cu(1)Ni12 cuboctahedra, edges with four equivalent Ga(1)Ni12 cuboctahedra,  a faceface with one Ni(5)Cu4Ni8 cuboctahedra, faces with two equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with two equivalent Ni(1)Ga4Ni8 cuboctahedra, faces with two equivalent Cu(1)Ni12 cuboctahedra, faces with two equivalent Ga(1)Ni12 cuboctahedra, and faces with nine equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra. In the fifth Ni site, Ni(5) is bonded to two equivalent Ni(2), two equivalent Ni(3), four equivalent Ni(5), two equivalent Cu(1), and two equivalent Cu(2) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(5)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(6)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(6)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Cu(1)Ni12 cuboctahedra, edges with four equivalent Cu(2)Ni12 cuboctahedra,  a faceface with one Ni(6)Cu4Ni8 cuboctahedra,  a faceface with one Ni(4)Ga2Cu2Ni8 cuboctahedra, faces with two equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with two equivalent Ni(3)Cu4Ni8 cuboctahedra, faces with two equivalent Cu(1)Ni12 cuboctahedra, faces with two equivalent Cu(2)Ni12 cuboctahedra, and faces with eight equivalent Ni(5)Cu4Ni8 cuboctahedra. In the sixth Ni site, Ni(6) is bonded to four equivalent Ni(3), four equivalent Ni(6), and four equivalent Cu(2) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(6)Cu4Ni8 cuboctahedra, corners with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Cu(2)Ni12 cuboctahedra, faces with two equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(3)Cu4Ni8 cuboctahedra, faces with four equivalent Cu(2)Ni12 cuboctahedra, and faces with eight equivalent Ni(6)Cu4Ni8 cuboctahedra. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to four equivalent Ni(2), four equivalent Ni(4), and four equivalent Ni(5) atoms to form CuNi12 cuboctahedra that share corners with four equivalent Cu(1)Ni12 cuboctahedra, corners with four equivalent Cu(2)Ni12 cuboctahedra, corners with four equivalent Ga(1)Ni12 cuboctahedra, edges with four equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(1)Ga4Ni8 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra,  a faceface with one Cu(2)Ni12 cuboctahedra,  a faceface with one Ga(1)Ni12 cuboctahedra, faces with four equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, and faces with four equivalent Cu(1)Ni12 cuboctahedra. In the second Cu site, Cu(2) is bonded to four equivalent Ni(3), four equivalent Ni(5), and four equivalent Ni(6) atoms to form CuNi12 cuboctahedra that share corners with four equivalent Cu(1)Ni12 cuboctahedra, corners with eight equivalent Cu(2)Ni12 cuboctahedra, edges with four equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(6)Cu4Ni8 cuboctahedra,  a faceface with one Cu(1)Ni12 cuboctahedra, faces with four equivalent Ni(3)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(6)Cu4Ni8 cuboctahedra, and faces with five equivalent Cu(2)Ni12 cuboctahedra. Ga(1) is bonded to four equivalent Ni(1) and eight equivalent Ni(4) atoms to form GaNi12 cuboctahedra that share corners with four equivalent Ga(1)Ni12 cuboctahedra, corners with eight equivalent Cu(1)Ni12 cuboctahedra, edges with eight equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with sixteen equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, faces with two equivalent Cu(1)Ni12 cuboctahedra, faces with four equivalent Ni(1)Ga4Ni8 cuboctahedra, faces with four equivalent Ga(1)Ni12 cuboctahedra, and faces with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_GaCu4Ni15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.544
_cell_length_b   3.544
_cell_length_c   17.673
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   221.941
_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
  Ga  Ga0  1  0.000  0.000  0.000  1.0
  Cu  Cu1  1  0.000  0.000  0.200  1.0
  Cu  Cu2  1  0.000  0.000  0.400  1.0
  Cu  Cu3  1  0.000  0.000  0.600  1.0
  Cu  Cu4  1  0.000  0.000  0.800  1.0
  Ni  Ni5  1  0.500  0.500  0.000  1.0
  Ni  Ni6  1  0.500  0.500  0.200  1.0
  Ni  Ni7  1  0.500  0.500  0.400  1.0
  Ni  Ni8  1  0.500  0.500  0.600  1.0
  Ni  Ni9  1  0.500  0.500  0.800  1.0
  Ni  Ni10  1  0.500  0.000  0.100  1.0
  Ni  Ni11  1  0.500  0.000  0.300  1.0
  Ni  Ni12  1  0.500  0.000  0.500  1.0
  Ni  Ni13  1  0.500  0.000  0.700  1.0
  Ni  Ni14  1  0.500  0.000  0.900  1.0
  Ni  Ni15  1  0.000  0.500  0.100  1.0
  Ni  Ni16  1  0.000  0.500  0.300  1.0
  Ni  Ni17  1  0.000  0.500  0.500  1.0
  Ni  Ni18  1  0.000  0.500  0.700  1.0
  Ni  Ni19  1  0.000  0.500  0.900  1.0
[/CIF]
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The compound described by Ni15Cu4Ga is alpha La-derived structured and crystallizes in the tetragonal P4/mmm space group. There are six inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to eight equivalent Ni(4) and four equivalent Ga(1) atoms to form NiGa4Ni8 cuboctahedra that share corners with four equivalent Ni(1)Ga4Ni8 cuboctahedra, corners with eight equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with eight equivalent Cu(1)Ni12 cuboctahedra, edges with sixteen equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, faces with two equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(1)Ga4Ni8 cuboctahedra, faces with four equivalent Ga(1)Ni12 cuboctahedra, and faces with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra. In the second Ni site, Ni(2) is bonded to four equivalent Ni(4), four equivalent Ni(5), and four equivalent Cu(1) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(2)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(3)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(1)Ga4Ni8 cuboctahedra, edges with four equivalent Cu(2)Ni12 cuboctahedra, edges with four equivalent Ga(1)Ni12 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra,  a faceface with one Ni(3)Cu4Ni8 cuboctahedra,  a faceface with one Ni(1)Ga4Ni8 cuboctahedra, faces with four equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, and faces with four equivalent Cu(1)Ni12 cuboctahedra. In the third Ni site, Ni(3) is bonded to four equivalent Ni(5), four equivalent Ni(6), and four equivalent Cu(2) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(2)Cu4Ni8 cuboctahedra, corners with eight equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with four equivalent Cu(1)Ni12 cuboctahedra, edges with four equivalent Cu(2)Ni12 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(6)Cu4Ni8 cuboctahedra,  a faceface with one Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(6)Cu4Ni8 cuboctahedra, faces with four equivalent Cu(2)Ni12 cuboctahedra, and faces with five equivalent Ni(3)Cu4Ni8 cuboctahedra. In the fourth Ni site, Ni(4) is bonded to two equivalent Ni(1), two equivalent Ni(2), four equivalent Ni(4), two equivalent Cu(1), and two equivalent Ga(1) atoms to form NiGa2Cu2Ni8 cuboctahedra that share corners with four equivalent Ni(5)Cu4Ni8 cuboctahedra, corners with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Ni(1)Ga4Ni8 cuboctahedra, edges with four equivalent Cu(1)Ni12 cuboctahedra, edges with four equivalent Ga(1)Ni12 cuboctahedra,  a faceface with one Ni(5)Cu4Ni8 cuboctahedra, faces with two equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with two equivalent Ni(1)Ga4Ni8 cuboctahedra, faces with two equivalent Cu(1)Ni12 cuboctahedra, faces with two equivalent Ga(1)Ni12 cuboctahedra, and faces with nine equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra. In the fifth Ni site, Ni(5) is bonded to two equivalent Ni(2), two equivalent Ni(3), four equivalent Ni(5), two equivalent Cu(1), and two equivalent Cu(2) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(5)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(6)Cu4Ni8 cuboctahedra, corners with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(6)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, edges with four equivalent Cu(1)Ni12 cuboctahedra, edges with four equivalent Cu(2)Ni12 cuboctahedra,  a faceface with one Ni(6)Cu4Ni8 cuboctahedra,  a faceface with one Ni(4)Ga2Cu2Ni8 cuboctahedra, faces with two equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with two equivalent Ni(3)Cu4Ni8 cuboctahedra, faces with two equivalent Cu(1)Ni12 cuboctahedra, faces with two equivalent Cu(2)Ni12 cuboctahedra, and faces with eight equivalent Ni(5)Cu4Ni8 cuboctahedra. In the sixth Ni site, Ni(6) is bonded to four equivalent Ni(3), four equivalent Ni(6), and four equivalent Cu(2) atoms to form NiCu4Ni8 cuboctahedra that share corners with four equivalent Ni(6)Cu4Ni8 cuboctahedra, corners with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Cu(2)Ni12 cuboctahedra, faces with two equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(3)Cu4Ni8 cuboctahedra, faces with four equivalent Cu(2)Ni12 cuboctahedra, and faces with eight equivalent Ni(6)Cu4Ni8 cuboctahedra. There are two inequivalent Cu sites. In the first Cu site, Cu(1) is bonded to four equivalent Ni(2), four equivalent Ni(4), and four equivalent Ni(5) atoms to form CuNi12 cuboctahedra that share corners with four equivalent Cu(1)Ni12 cuboctahedra, corners with four equivalent Cu(2)Ni12 cuboctahedra, corners with four equivalent Ga(1)Ni12 cuboctahedra, edges with four equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(1)Ga4Ni8 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra,  a faceface with one Cu(2)Ni12 cuboctahedra,  a faceface with one Ga(1)Ni12 cuboctahedra, faces with four equivalent Ni(2)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, and faces with four equivalent Cu(1)Ni12 cuboctahedra. In the second Cu site, Cu(2) is bonded to four equivalent Ni(3), four equivalent Ni(5), and four equivalent Ni(6) atoms to form CuNi12 cuboctahedra that share corners with four equivalent Cu(1)Ni12 cuboctahedra, corners with eight equivalent Cu(2)Ni12 cuboctahedra, edges with four equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with four equivalent Ni(3)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(5)Cu4Ni8 cuboctahedra, edges with eight equivalent Ni(6)Cu4Ni8 cuboctahedra,  a faceface with one Cu(1)Ni12 cuboctahedra, faces with four equivalent Ni(3)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(5)Cu4Ni8 cuboctahedra, faces with four equivalent Ni(6)Cu4Ni8 cuboctahedra, and faces with five equivalent Cu(2)Ni12 cuboctahedra. Ga(1) is bonded to four equivalent Ni(1) and eight equivalent Ni(4) atoms to form GaNi12 cuboctahedra that share corners with four equivalent Ga(1)Ni12 cuboctahedra, corners with eight equivalent Cu(1)Ni12 cuboctahedra, edges with eight equivalent Ni(2)Cu4Ni8 cuboctahedra, edges with sixteen equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra, faces with two equivalent Cu(1)Ni12 cuboctahedra, faces with four equivalent Ni(1)Ga4Ni8 cuboctahedra, faces with four equivalent Ga(1)Ni12 cuboctahedra, and faces with eight equivalent Ni(4)Ga2Cu2Ni8 cuboctahedra. is represented by the Crystallographic Information File (CIF) [CIF]
data_GaCu4Ni15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.544
_cell_length_b   3.544
_cell_length_c   17.673
_cell_angle_alpha   90.000
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   221.941
_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
  Ga  Ga0  1  0.000  0.000  0.000  1.0
  Cu  Cu1  1  0.000  0.000  0.200  1.0
  Cu  Cu2  1  0.000  0.000  0.400  1.0
  Cu  Cu3  1  0.000  0.000  0.600  1.0
  Cu  Cu4  1  0.000  0.000  0.800  1.0
  Ni  Ni5  1  0.500  0.500  0.000  1.0
  Ni  Ni6  1  0.500  0.500  0.200  1.0
  Ni  Ni7  1  0.500  0.500  0.400  1.0
  Ni  Ni8  1  0.500  0.500  0.600  1.0
  Ni  Ni9  1  0.500  0.500  0.800  1.0
  Ni  Ni10  1  0.500  0.000  0.100  1.0
  Ni  Ni11  1  0.500  0.000  0.300  1.0
  Ni  Ni12  1  0.500  0.000  0.500  1.0
  Ni  Ni13  1  0.500  0.000  0.700  1.0
  Ni  Ni14  1  0.500  0.000  0.900  1.0
  Ni  Ni15  1  0.000  0.500  0.100  1.0
  Ni  Ni16  1  0.000  0.500  0.300  1.0
  Ni  Ni17  1  0.000  0.500  0.500  1.0
  Ni  Ni18  1  0.000  0.500  0.700  1.0
  Ni  Ni19  1  0.000  0.500  0.900  1.0
[/CIF]
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