The structure described by Ce3Zn22 crystallizes in the tetragonal I4_1/amd space group. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 18-coordinate geometry to two equivalent Zn(3), two equivalent Zn(4), six equivalent Zn(2), and eight equivalent Zn(1) atoms. In the second Ce site, Ce(2) is bonded in a 20-coordinate geometry to four equivalent Zn(3), four equivalent Zn(4), four equivalent Zn(5), and eight equivalent Zn(1) atoms. There are five inequivalent Zn sites. In the first Zn site, Zn(3) is bonded to one Ce(1), one Ce(2), one Zn(3), one Zn(5), two equivalent Zn(2), two equivalent Zn(4), and four equivalent Zn(1) atoms to form distorted ZnCe2Zn10 cuboctahedra that share  a cornercorner with one Zn(5)Ce2Zn10 cuboctahedra, corners with two equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with eight equivalent Zn(1)Ce3Zn9 cuboctahedra, edges with two equivalent Zn(5)Ce2Zn10 cuboctahedra, edges with two equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with three equivalent Zn(3)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(4)Ce2Zn10 cuboctahedra, and faces with ten equivalent Zn(1)Ce3Zn9 cuboctahedra. In the second Zn site, Zn(1) is bonded to one Ce(2), two equivalent Ce(1), one Zn(5), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(4) atoms to form distorted ZnCe3Zn9 cuboctahedra that share corners with two equivalent Zn(5)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with eleven equivalent Zn(1)Ce3Zn9 cuboctahedra,  an edgeedge with one Zn(3)Ce2Zn10 cuboctahedra,  an edgeedge with one Zn(4)Ce2Zn10 cuboctahedra,  an edgeedge with one Zn(5)Ce2Zn10 cuboctahedra, edges with five equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(3)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(4)Ce2Zn10 cuboctahedra, and faces with six equivalent Zn(1)Ce3Zn9 cuboctahedra. In the third Zn site, Zn(4) is bonded to one Ce(1), one Ce(2), one Zn(2), one Zn(4), two equivalent Zn(3), two equivalent Zn(5), and four equivalent Zn(1) atoms to form distorted ZnCe2Zn10 cuboctahedra that share corners with two equivalent Zn(5)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with five equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with eight equivalent Zn(1)Ce3Zn9 cuboctahedra, edges with two equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with three equivalent Zn(4)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(3)Ce2Zn10 cuboctahedra, and faces with ten equivalent Zn(1)Ce3Zn9 cuboctahedra. In the fourth Zn site, Zn(5) is bonded to two equivalent Ce(2), two equivalent Zn(3), four equivalent Zn(1), and four equivalent Zn(4) atoms to form ZnCe2Zn10 cuboctahedra that share corners with two equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(5)Ce2Zn10 cuboctahedra, corners with eight equivalent Zn(1)Ce3Zn9 cuboctahedra, edges with four equivalent Zn(3)Ce2Zn10 cuboctahedra, edges with four equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with four equivalent Zn(3)Ce2Zn10 cuboctahedra, faces with four equivalent Zn(4)Ce2Zn10 cuboctahedra, and faces with eight equivalent Zn(1)Ce3Zn9 cuboctahedra. In the fifth Zn site, Zn(2) is bonded in a 12-coordinate geometry to three equivalent Ce(1), one Zn(4), two equivalent Zn(2), two equivalent Zn(3), and four equivalent Zn(1) atoms. is represented by the CIF file [CIF]
data_Ce3Zn22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.331
_cell_length_b   12.331
_cell_length_c   12.331
_cell_angle_alpha   137.714
_cell_angle_beta   137.714
_cell_angle_gamma   61.342
_symmetry_Int_Tables_number   1
_cell_volume   839.286
_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  0.621  0.621  0.000  1.0
  Ce  Ce1  1  0.371  0.871  0.500  1.0
  Ce  Ce2  1  0.129  0.629  0.500  1.0
  Ce  Ce3  1  0.379  0.379  0.000  1.0
  Ce  Ce4  1  0.750  0.250  0.500  1.0
  Ce  Ce5  1  0.000  0.000  0.000  1.0
  Zn  Zn6  1  0.918  0.444  0.989  1.0
  Zn  Zn7  1  0.455  0.444  0.526  1.0
  Zn  Zn8  1  0.194  0.168  0.489  1.0
  Zn  Zn9  1  0.678  0.168  0.974  1.0
  Zn  Zn10  1  0.918  0.928  0.474  1.0
  Zn  Zn11  1  0.455  0.928  0.011  1.0
  Zn  Zn12  1  0.194  0.705  0.026  1.0
  Zn  Zn13  1  0.678  0.705  0.511  1.0
  Zn  Zn14  1  0.832  0.806  0.511  1.0
  Zn  Zn15  1  0.295  0.806  0.974  1.0
  Zn  Zn16  1  0.556  0.082  0.011  1.0
  Zn  Zn17  1  0.072  0.082  0.526  1.0
  Zn  Zn18  1  0.832  0.322  0.026  1.0
  Zn  Zn19  1  0.295  0.322  0.489  1.0
  Zn  Zn20  1  0.556  0.545  0.474  1.0
  Zn  Zn21  1  0.072  0.545  0.989  1.0
  Zn  Zn22  1  0.498  0.276  0.777  1.0
  Zn  Zn23  1  0.026  0.748  0.277  1.0
  Zn  Zn24  1  0.471  0.748  0.723  1.0
  Zn  Zn25  1  0.498  0.721  0.223  1.0
  Zn  Zn26  1  0.252  0.974  0.723  1.0
  Zn  Zn27  1  0.724  0.502  0.223  1.0
  Zn  Zn28  1  0.279  0.502  0.777  1.0
  Zn  Zn29  1  0.252  0.529  0.277  1.0
  Zn  Zn30  1  0.758  0.610  0.852  1.0
  Zn  Zn31  1  0.360  0.008  0.352  1.0
  Zn  Zn32  1  0.655  0.008  0.648  1.0
  Zn  Zn33  1  0.758  0.905  0.148  1.0
  Zn  Zn34  1  0.992  0.640  0.648  1.0
  Zn  Zn35  1  0.390  0.242  0.148  1.0
  Zn  Zn36  1  0.095  0.242  0.852  1.0
  Zn  Zn37  1  0.992  0.345  0.352  1.0
  Zn  Zn38  1  0.612  0.960  0.348  1.0
  Zn  Zn39  1  0.710  0.862  0.848  1.0
  Zn  Zn40  1  0.014  0.862  0.152  1.0
  Zn  Zn41  1  0.612  0.264  0.652  1.0
  Zn  Zn42  1  0.138  0.290  0.152  1.0
  Zn  Zn43  1  0.040  0.388  0.652  1.0
  Zn  Zn44  1  0.736  0.388  0.348  1.0
  Zn  Zn45  1  0.138  0.986  0.848  1.0
  Zn  Zn46  1  0.875  0.625  0.750  1.0
  Zn  Zn47  1  0.375  0.125  0.250  1.0
  Zn  Zn48  1  0.875  0.125  0.750  1.0
  Zn  Zn49  1  0.875  0.125  0.250  1.0
[/CIF]
.
The structure described by Ce3Zn22 crystallizes in the tetragonal I4_1/amd space group. There are two inequivalent Ce sites. In the first Ce site, Ce(1) is bonded in a 18-coordinate geometry to two equivalent Zn(3), two equivalent Zn(4), six equivalent Zn(2), and eight equivalent Zn(1) atoms. In the second Ce site, Ce(2) is bonded in a 20-coordinate geometry to four equivalent Zn(3), four equivalent Zn(4), four equivalent Zn(5), and eight equivalent Zn(1) atoms. There are five inequivalent Zn sites. In the first Zn site, Zn(3) is bonded to one Ce(1), one Ce(2), one Zn(3), one Zn(5), two equivalent Zn(2), two equivalent Zn(4), and four equivalent Zn(1) atoms to form distorted ZnCe2Zn10 cuboctahedra that share  a cornercorner with one Zn(5)Ce2Zn10 cuboctahedra, corners with two equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with eight equivalent Zn(1)Ce3Zn9 cuboctahedra, edges with two equivalent Zn(5)Ce2Zn10 cuboctahedra, edges with two equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with three equivalent Zn(3)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(4)Ce2Zn10 cuboctahedra, and faces with ten equivalent Zn(1)Ce3Zn9 cuboctahedra. In the second Zn site, Zn(1) is bonded to one Ce(2), two equivalent Ce(1), one Zn(5), two equivalent Zn(1), two equivalent Zn(2), two equivalent Zn(3), and two equivalent Zn(4) atoms to form distorted ZnCe3Zn9 cuboctahedra that share corners with two equivalent Zn(5)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with eleven equivalent Zn(1)Ce3Zn9 cuboctahedra,  an edgeedge with one Zn(3)Ce2Zn10 cuboctahedra,  an edgeedge with one Zn(4)Ce2Zn10 cuboctahedra,  an edgeedge with one Zn(5)Ce2Zn10 cuboctahedra, edges with five equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(3)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(4)Ce2Zn10 cuboctahedra, and faces with six equivalent Zn(1)Ce3Zn9 cuboctahedra. In the third Zn site, Zn(4) is bonded to one Ce(1), one Ce(2), one Zn(2), one Zn(4), two equivalent Zn(3), two equivalent Zn(5), and four equivalent Zn(1) atoms to form distorted ZnCe2Zn10 cuboctahedra that share corners with two equivalent Zn(5)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with five equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with eight equivalent Zn(1)Ce3Zn9 cuboctahedra, edges with two equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with three equivalent Zn(4)Ce2Zn10 cuboctahedra, faces with five equivalent Zn(3)Ce2Zn10 cuboctahedra, and faces with ten equivalent Zn(1)Ce3Zn9 cuboctahedra. In the fourth Zn site, Zn(5) is bonded to two equivalent Ce(2), two equivalent Zn(3), four equivalent Zn(1), and four equivalent Zn(4) atoms to form ZnCe2Zn10 cuboctahedra that share corners with two equivalent Zn(3)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(4)Ce2Zn10 cuboctahedra, corners with four equivalent Zn(5)Ce2Zn10 cuboctahedra, corners with eight equivalent Zn(1)Ce3Zn9 cuboctahedra, edges with four equivalent Zn(3)Ce2Zn10 cuboctahedra, edges with four equivalent Zn(1)Ce3Zn9 cuboctahedra, faces with two equivalent Zn(5)Ce2Zn10 cuboctahedra, faces with four equivalent Zn(3)Ce2Zn10 cuboctahedra, faces with four equivalent Zn(4)Ce2Zn10 cuboctahedra, and faces with eight equivalent Zn(1)Ce3Zn9 cuboctahedra. In the fifth Zn site, Zn(2) is bonded in a 12-coordinate geometry to three equivalent Ce(1), one Zn(4), two equivalent Zn(2), two equivalent Zn(3), and four equivalent Zn(1) atoms. is represented by the CIF file [CIF]
data_Ce3Zn22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.331
_cell_length_b   12.331
_cell_length_c   12.331
_cell_angle_alpha   137.714
_cell_angle_beta   137.714
_cell_angle_gamma   61.342
_symmetry_Int_Tables_number   1
_cell_volume   839.286
_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  0.621  0.621  0.000  1.0
  Ce  Ce1  1  0.371  0.871  0.500  1.0
  Ce  Ce2  1  0.129  0.629  0.500  1.0
  Ce  Ce3  1  0.379  0.379  0.000  1.0
  Ce  Ce4  1  0.750  0.250  0.500  1.0
  Ce  Ce5  1  0.000  0.000  0.000  1.0
  Zn  Zn6  1  0.918  0.444  0.989  1.0
  Zn  Zn7  1  0.455  0.444  0.526  1.0
  Zn  Zn8  1  0.194  0.168  0.489  1.0
  Zn  Zn9  1  0.678  0.168  0.974  1.0
  Zn  Zn10  1  0.918  0.928  0.474  1.0
  Zn  Zn11  1  0.455  0.928  0.011  1.0
  Zn  Zn12  1  0.194  0.705  0.026  1.0
  Zn  Zn13  1  0.678  0.705  0.511  1.0
  Zn  Zn14  1  0.832  0.806  0.511  1.0
  Zn  Zn15  1  0.295  0.806  0.974  1.0
  Zn  Zn16  1  0.556  0.082  0.011  1.0
  Zn  Zn17  1  0.072  0.082  0.526  1.0
  Zn  Zn18  1  0.832  0.322  0.026  1.0
  Zn  Zn19  1  0.295  0.322  0.489  1.0
  Zn  Zn20  1  0.556  0.545  0.474  1.0
  Zn  Zn21  1  0.072  0.545  0.989  1.0
  Zn  Zn22  1  0.498  0.276  0.777  1.0
  Zn  Zn23  1  0.026  0.748  0.277  1.0
  Zn  Zn24  1  0.471  0.748  0.723  1.0
  Zn  Zn25  1  0.498  0.721  0.223  1.0
  Zn  Zn26  1  0.252  0.974  0.723  1.0
  Zn  Zn27  1  0.724  0.502  0.223  1.0
  Zn  Zn28  1  0.279  0.502  0.777  1.0
  Zn  Zn29  1  0.252  0.529  0.277  1.0
  Zn  Zn30  1  0.758  0.610  0.852  1.0
  Zn  Zn31  1  0.360  0.008  0.352  1.0
  Zn  Zn32  1  0.655  0.008  0.648  1.0
  Zn  Zn33  1  0.758  0.905  0.148  1.0
  Zn  Zn34  1  0.992  0.640  0.648  1.0
  Zn  Zn35  1  0.390  0.242  0.148  1.0
  Zn  Zn36  1  0.095  0.242  0.852  1.0
  Zn  Zn37  1  0.992  0.345  0.352  1.0
  Zn  Zn38  1  0.612  0.960  0.348  1.0
  Zn  Zn39  1  0.710  0.862  0.848  1.0
  Zn  Zn40  1  0.014  0.862  0.152  1.0
  Zn  Zn41  1  0.612  0.264  0.652  1.0
  Zn  Zn42  1  0.138  0.290  0.152  1.0
  Zn  Zn43  1  0.040  0.388  0.652  1.0
  Zn  Zn44  1  0.736  0.388  0.348  1.0
  Zn  Zn45  1  0.138  0.986  0.848  1.0
  Zn  Zn46  1  0.875  0.625  0.750  1.0
  Zn  Zn47  1  0.375  0.125  0.250  1.0
  Zn  Zn48  1  0.875  0.125  0.750  1.0
  Zn  Zn49  1  0.875  0.125  0.250  1.0
[/CIF]
.