The crystal structure described by Ce2Ni5Zn2 crystallizes in the trigonal R-3m space group. There are five inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 12-coordinate geometry to nine equivalent Ni(1) and three equivalent Zn(2) atoms. In the second Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2), three equivalent Ni(3), six equivalent Ni(1), and six equivalent Zn(1) atoms. In the third Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2); three equivalent Ni(3); six equivalent Ni(1); and six Zn(1,1) atoms. In the fourth Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2), three equivalent Ni(3), six equivalent Ni(1), and six equivalent Zn(1) atoms. In the fifth Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2); three equivalent Ni(3); six equivalent Ni(1); and six Zn(1,1) atoms. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to two equivalent Ce(2), three equivalent Ce(1), one Ni(2), one Ni(3), four equivalent Ni(1), and one Zn(2) atom to form distorted NiCe5ZnNi6 cuboctahedra that share corners with two equivalent Zn(2)Ce6Ni6 cuboctahedra, corners with six equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, corners with nine equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with four equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra,  a faceface with one Zn(1)Ce4Zn4Ni4 cuboctahedra, faces with three equivalent Zn(2)Ce6Ni6 cuboctahedra, and faces with ten equivalent Ni(1)Ce5ZnNi6 cuboctahedra. In the second Ni site, Ni(2) is bonded in a 9-coordinate geometry to three equivalent Ce(2); three equivalent Ni(1); and three Zn(1,1) atoms. In the third Ni site, Ni(3) is bonded in a 9-coordinate geometry to three equivalent Ce(2); three equivalent Ni(1); and three Zn(1,1) atoms. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to four Ce(2,2); two equivalent Ni(2); two equivalent Ni(3); and four equivalent Zn(1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra, faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra, and faces with eight equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra. In the second Zn site, Zn(2) is bonded to six equivalent Ce(1) and six equivalent Ni(1) atoms to form ZnCe6Ni6 cuboctahedra that share corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with six equivalent Zn(2)Ce6Ni6 cuboctahedra, and faces with eighteen equivalent Ni(1)Ce5ZnNi6 cuboctahedra. In the third Zn site, Zn(1) is bonded to four Ce(2,2); two equivalent Ni(2); two equivalent Ni(3); and four equivalent Zn(1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra, faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra, and faces with eight equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra. In the fourth Zn site, Zn(1) is bonded to four Ce(2,2); two equivalent Ni(2); two equivalent Ni(3); and four Zn(1,1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra; edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra; faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra; and faces with eight Zn(1,1)Ce4Zn4Ni4 cuboctahedra. In the fifth Zn site, Zn(1) is bonded to four equivalent Ce(2); two equivalent Ni(2); two equivalent Ni(3); and four Zn(1,1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra; edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra; faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra; and faces with eight Zn(1,1)Ce4Zn4Ni4 cuboctahedra. is represented by the CIF file [CIF]
data_Ce2Zn2Ni5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.770
_cell_length_b   12.770
_cell_length_c   12.770
_cell_angle_alpha   22.739
_cell_angle_beta   22.739
_cell_angle_gamma   22.739
_symmetry_Int_Tables_number   1
_cell_volume   273.014
_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
  Ce  Ce0  1  0.854  0.854  0.854  1.0
  Ce  Ce1  1  0.146  0.146  0.146  1.0
  Ce  Ce2  1  0.943  0.943  0.943  1.0
  Ce  Ce3  1  0.057  0.057  0.057  1.0
  Zn  Zn4  1  0.500  0.500  0.000  1.0
  Zn  Zn5  1  0.000  0.500  0.500  1.0
  Zn  Zn6  1  0.500  0.000  0.500  1.0
  Zn  Zn7  1  0.500  0.500  0.500  1.0
  Ni  Ni8  1  0.389  0.389  0.891  1.0
  Ni  Ni9  1  0.389  0.389  0.389  1.0
  Ni  Ni10  1  0.723  0.723  0.723  1.0
  Ni  Ni11  1  0.277  0.277  0.277  1.0
  Ni  Ni12  1  0.611  0.109  0.611  1.0
  Ni  Ni13  1  0.611  0.611  0.109  1.0
  Ni  Ni14  1  0.611  0.611  0.611  1.0
  Ni  Ni15  1  0.891  0.389  0.389  1.0
  Ni  Ni16  1  0.389  0.891  0.389  1.0
  Ni  Ni17  1  0.109  0.611  0.611  1.0
[/CIF]
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The crystal structure described by Ce2Ni5Zn2 crystallizes in the trigonal R-3m space group. There are five inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 12-coordinate geometry to nine equivalent Ni(1) and three equivalent Zn(2) atoms. In the second Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2), three equivalent Ni(3), six equivalent Ni(1), and six equivalent Zn(1) atoms. In the third Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2); three equivalent Ni(3); six equivalent Ni(1); and six Zn(1,1) atoms. In the fourth Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2), three equivalent Ni(3), six equivalent Ni(1), and six equivalent Zn(1) atoms. In the fifth Ce site, Ce(2) is bonded in a distorted hexagonal planar geometry to three equivalent Ni(2); three equivalent Ni(3); six equivalent Ni(1); and six Zn(1,1) atoms. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to two equivalent Ce(2), three equivalent Ce(1), one Ni(2), one Ni(3), four equivalent Ni(1), and one Zn(2) atom to form distorted NiCe5ZnNi6 cuboctahedra that share corners with two equivalent Zn(2)Ce6Ni6 cuboctahedra, corners with six equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, corners with nine equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with four equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra,  a faceface with one Zn(1)Ce4Zn4Ni4 cuboctahedra, faces with three equivalent Zn(2)Ce6Ni6 cuboctahedra, and faces with ten equivalent Ni(1)Ce5ZnNi6 cuboctahedra. In the second Ni site, Ni(2) is bonded in a 9-coordinate geometry to three equivalent Ce(2); three equivalent Ni(1); and three Zn(1,1) atoms. In the third Ni site, Ni(3) is bonded in a 9-coordinate geometry to three equivalent Ce(2); three equivalent Ni(1); and three Zn(1,1) atoms. There are five inequivalent Zn sites. In the first Zn site, Zn(1) is bonded to four Ce(2,2); two equivalent Ni(2); two equivalent Ni(3); and four equivalent Zn(1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra, faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra, and faces with eight equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra. In the second Zn site, Zn(2) is bonded to six equivalent Ce(1) and six equivalent Ni(1) atoms to form ZnCe6Ni6 cuboctahedra that share corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with six equivalent Zn(2)Ce6Ni6 cuboctahedra, and faces with eighteen equivalent Ni(1)Ce5ZnNi6 cuboctahedra. In the third Zn site, Zn(1) is bonded to four Ce(2,2); two equivalent Ni(2); two equivalent Ni(3); and four equivalent Zn(1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra, edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra, edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra, faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra, and faces with eight equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra. In the fourth Zn site, Zn(1) is bonded to four Ce(2,2); two equivalent Ni(2); two equivalent Ni(3); and four Zn(1,1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra; edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra; faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra; and faces with eight Zn(1,1)Ce4Zn4Ni4 cuboctahedra. In the fifth Zn site, Zn(1) is bonded to four equivalent Ce(2); two equivalent Ni(2); two equivalent Ni(3); and four Zn(1,1) atoms to form distorted ZnCe4Zn4Ni4 cuboctahedra that share corners with four equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; corners with twelve equivalent Ni(1)Ce5ZnNi6 cuboctahedra; edges with two equivalent Zn(1)Ce4Zn4Ni4 cuboctahedra; edges with eight equivalent Ni(1)Ce5ZnNi6 cuboctahedra; faces with two equivalent Ni(1)Ce5ZnNi6 cuboctahedra; and faces with eight Zn(1,1)Ce4Zn4Ni4 cuboctahedra. is represented by the CIF file [CIF]
data_Ce2Zn2Ni5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.770
_cell_length_b   12.770
_cell_length_c   12.770
_cell_angle_alpha   22.739
_cell_angle_beta   22.739
_cell_angle_gamma   22.739
_symmetry_Int_Tables_number   1
_cell_volume   273.014
_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
  Ce  Ce0  1  0.854  0.854  0.854  1.0
  Ce  Ce1  1  0.146  0.146  0.146  1.0
  Ce  Ce2  1  0.943  0.943  0.943  1.0
  Ce  Ce3  1  0.057  0.057  0.057  1.0
  Zn  Zn4  1  0.500  0.500  0.000  1.0
  Zn  Zn5  1  0.000  0.500  0.500  1.0
  Zn  Zn6  1  0.500  0.000  0.500  1.0
  Zn  Zn7  1  0.500  0.500  0.500  1.0
  Ni  Ni8  1  0.389  0.389  0.891  1.0
  Ni  Ni9  1  0.389  0.389  0.389  1.0
  Ni  Ni10  1  0.723  0.723  0.723  1.0
  Ni  Ni11  1  0.277  0.277  0.277  1.0
  Ni  Ni12  1  0.611  0.109  0.611  1.0
  Ni  Ni13  1  0.611  0.611  0.109  1.0
  Ni  Ni14  1  0.611  0.611  0.611  1.0
  Ni  Ni15  1  0.891  0.389  0.389  1.0
  Ni  Ni16  1  0.389  0.891  0.389  1.0
  Ni  Ni17  1  0.109  0.611  0.611  1.0
[/CIF]
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