The material described by Pr3MgNi14 crystallizes in the trigonal R3m space group. Mg(1) is bonded in a 16-coordinate geometry to one Pr(2), three equivalent Pr(3), three equivalent Ni(1), three equivalent Ni(7), and six equivalent Ni(2) atoms. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 18-coordinate geometry to three equivalent Ni(3), three equivalent Ni(6), six equivalent Ni(1), and six equivalent Ni(8) atoms. In the second Pr site, Pr(2) is bonded in a distorted hexagonal planar geometry to one Mg(1), three equivalent Ni(4), three equivalent Ni(5), six equivalent Ni(2), and six equivalent Ni(8) atoms. In the third Pr site, Pr(3) is bonded in a 15-coordinate geometry to three equivalent Mg(1), three equivalent Ni(2), three equivalent Ni(7), and six equivalent Ni(1) atoms. There are eight inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one Mg(1), two equivalent Pr(1), two equivalent Pr(3), one Ni(3), one Ni(6), one Ni(7), and four equivalent Ni(1) atoms to form distorted NiPr4MgNi7 cuboctahedra that share corners with two equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, corners with four equivalent Ni(1)Pr4MgNi7 cuboctahedra, corners with five equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with six equivalent Ni(8)Pr4Ni8 cuboctahedra, edges with two equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, edges with two equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with four equivalent Ni(8)Pr4Ni8 cuboctahedra,  a faceface with one Ni(8)Pr4Ni8 cuboctahedra, faces with two equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, faces with three equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, and faces with eight equivalent Ni(1)Pr4MgNi7 cuboctahedra. In the second Ni site, Ni(2) is bonded to two equivalent Mg(1), one Pr(3), two equivalent Pr(2), one Ni(4), one Ni(5), one Ni(7), and four equivalent Ni(2) atoms to form NiPr3Mg2Ni7 cuboctahedra that share corners with two equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, corners with four equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with five equivalent Ni(1)Pr4MgNi7 cuboctahedra, corners with six equivalent Ni(8)Pr4Ni8 cuboctahedra, edges with two equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, edges with two equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with four equivalent Ni(8)Pr4Ni8 cuboctahedra,  a faceface with one Ni(8)Pr4Ni8 cuboctahedra, faces with two equivalent Ni(1)Pr4MgNi7 cuboctahedra, faces with three equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra. In the third Ni site, Ni(3) is bonded in a 9-coordinate geometry to three equivalent Pr(1), three equivalent Ni(1), and three equivalent Ni(8) atoms. In the fourth Ni site, Ni(4) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Ni(2), and three equivalent Ni(8) atoms. In the fifth Ni site, Ni(5) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Ni(2), and three equivalent Ni(8) atoms. In the sixth Ni site, Ni(6) is bonded in a 9-coordinate geometry to three equivalent Pr(1), three equivalent Ni(1), and three equivalent Ni(8) atoms. In the seventh Ni site, Ni(7) is bonded to three equivalent Mg(1), three equivalent Pr(3), three equivalent Ni(1), and three equivalent Ni(2) atoms to form NiPr3Mg3Ni6 cuboctahedra that share corners with six equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with six equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with six equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, faces with nine equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, and faces with nine equivalent Ni(1)Pr4MgNi7 cuboctahedra. In the eighth Ni site, Ni(8) is bonded to two equivalent Pr(1), two equivalent Pr(2), one Ni(3), one Ni(4), one Ni(5), one Ni(6), and four equivalent Ni(8) atoms to form NiPr4Ni8 cuboctahedra that share corners with four equivalent Ni(8)Pr4Ni8 cuboctahedra, corners with six equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with six equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with two equivalent Ni(8)Pr4Ni8 cuboctahedra, edges with four equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, edges with four equivalent Ni(1)Pr4MgNi7 cuboctahedra,  a faceface with one Ni(2)Pr3Mg2Ni7 cuboctahedra,  a faceface with one Ni(1)Pr4MgNi7 cuboctahedra, and faces with eight equivalent Ni(8)Pr4Ni8 cuboctahedra. is represented by the CIF file [CIF]
data_Pr3MgNi14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.401
_cell_length_b   12.401
_cell_length_c   12.401
_cell_angle_alpha   23.192
_cell_angle_beta   23.192
_cell_angle_gamma   23.192
_symmetry_Int_Tables_number   1
_cell_volume   259.655
_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
  Pr  Pr0  1  0.052  0.052  0.052  1.0
  Pr  Pr1  1  0.944  0.944  0.944  1.0
  Pr  Pr2  1  0.150  0.150  0.150  1.0
  Mg  Mg3  1  0.853  0.853  0.853  1.0
  Ni  Ni4  1  0.612  0.109  0.612  1.0
  Ni  Ni5  1  0.109  0.612  0.612  1.0
  Ni  Ni6  1  0.612  0.612  0.109  1.0
  Ni  Ni7  1  0.389  0.889  0.389  1.0
  Ni  Ni8  1  0.889  0.389  0.389  1.0
  Ni  Ni9  1  0.389  0.389  0.889  1.0
  Ni  Ni10  1  0.389  0.389  0.389  1.0
  Ni  Ni11  1  0.612  0.612  0.612  1.0
  Ni  Ni12  1  0.278  0.278  0.278  1.0
  Ni  Ni13  1  0.722  0.722  0.722  1.0
  Ni  Ni14  1  0.501  0.501  0.501  1.0
  Ni  Ni15  1  0.001  0.500  0.500  1.0
  Ni  Ni16  1  0.500  0.500  0.001  1.0
  Ni  Ni17  1  0.500  0.001  0.500  1.0
[/CIF]
.
The material described by Pr3MgNi14 crystallizes in the trigonal R3m space group. Mg(1) is bonded in a 16-coordinate geometry to one Pr(2), three equivalent Pr(3), three equivalent Ni(1), three equivalent Ni(7), and six equivalent Ni(2) atoms. There are three inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 18-coordinate geometry to three equivalent Ni(3), three equivalent Ni(6), six equivalent Ni(1), and six equivalent Ni(8) atoms. In the second Pr site, Pr(2) is bonded in a distorted hexagonal planar geometry to one Mg(1), three equivalent Ni(4), three equivalent Ni(5), six equivalent Ni(2), and six equivalent Ni(8) atoms. In the third Pr site, Pr(3) is bonded in a 15-coordinate geometry to three equivalent Mg(1), three equivalent Ni(2), three equivalent Ni(7), and six equivalent Ni(1) atoms. There are eight inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one Mg(1), two equivalent Pr(1), two equivalent Pr(3), one Ni(3), one Ni(6), one Ni(7), and four equivalent Ni(1) atoms to form distorted NiPr4MgNi7 cuboctahedra that share corners with two equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, corners with four equivalent Ni(1)Pr4MgNi7 cuboctahedra, corners with five equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with six equivalent Ni(8)Pr4Ni8 cuboctahedra, edges with two equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, edges with two equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with four equivalent Ni(8)Pr4Ni8 cuboctahedra,  a faceface with one Ni(8)Pr4Ni8 cuboctahedra, faces with two equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, faces with three equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, and faces with eight equivalent Ni(1)Pr4MgNi7 cuboctahedra. In the second Ni site, Ni(2) is bonded to two equivalent Mg(1), one Pr(3), two equivalent Pr(2), one Ni(4), one Ni(5), one Ni(7), and four equivalent Ni(2) atoms to form NiPr3Mg2Ni7 cuboctahedra that share corners with two equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, corners with four equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with five equivalent Ni(1)Pr4MgNi7 cuboctahedra, corners with six equivalent Ni(8)Pr4Ni8 cuboctahedra, edges with two equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, edges with two equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with four equivalent Ni(8)Pr4Ni8 cuboctahedra,  a faceface with one Ni(8)Pr4Ni8 cuboctahedra, faces with two equivalent Ni(1)Pr4MgNi7 cuboctahedra, faces with three equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, and faces with eight equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra. In the third Ni site, Ni(3) is bonded in a 9-coordinate geometry to three equivalent Pr(1), three equivalent Ni(1), and three equivalent Ni(8) atoms. In the fourth Ni site, Ni(4) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Ni(2), and three equivalent Ni(8) atoms. In the fifth Ni site, Ni(5) is bonded in a 9-coordinate geometry to three equivalent Pr(2), three equivalent Ni(2), and three equivalent Ni(8) atoms. In the sixth Ni site, Ni(6) is bonded in a 9-coordinate geometry to three equivalent Pr(1), three equivalent Ni(1), and three equivalent Ni(8) atoms. In the seventh Ni site, Ni(7) is bonded to three equivalent Mg(1), three equivalent Pr(3), three equivalent Ni(1), and three equivalent Ni(2) atoms to form NiPr3Mg3Ni6 cuboctahedra that share corners with six equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with six equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with six equivalent Ni(7)Pr3Mg3Ni6 cuboctahedra, faces with nine equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, and faces with nine equivalent Ni(1)Pr4MgNi7 cuboctahedra. In the eighth Ni site, Ni(8) is bonded to two equivalent Pr(1), two equivalent Pr(2), one Ni(3), one Ni(4), one Ni(5), one Ni(6), and four equivalent Ni(8) atoms to form NiPr4Ni8 cuboctahedra that share corners with four equivalent Ni(8)Pr4Ni8 cuboctahedra, corners with six equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, corners with six equivalent Ni(1)Pr4MgNi7 cuboctahedra, edges with two equivalent Ni(8)Pr4Ni8 cuboctahedra, edges with four equivalent Ni(2)Pr3Mg2Ni7 cuboctahedra, edges with four equivalent Ni(1)Pr4MgNi7 cuboctahedra,  a faceface with one Ni(2)Pr3Mg2Ni7 cuboctahedra,  a faceface with one Ni(1)Pr4MgNi7 cuboctahedra, and faces with eight equivalent Ni(8)Pr4Ni8 cuboctahedra. is represented by the CIF file [CIF]
data_Pr3MgNi14
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   12.401
_cell_length_b   12.401
_cell_length_c   12.401
_cell_angle_alpha   23.192
_cell_angle_beta   23.192
_cell_angle_gamma   23.192
_symmetry_Int_Tables_number   1
_cell_volume   259.655
_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
  Pr  Pr0  1  0.052  0.052  0.052  1.0
  Pr  Pr1  1  0.944  0.944  0.944  1.0
  Pr  Pr2  1  0.150  0.150  0.150  1.0
  Mg  Mg3  1  0.853  0.853  0.853  1.0
  Ni  Ni4  1  0.612  0.109  0.612  1.0
  Ni  Ni5  1  0.109  0.612  0.612  1.0
  Ni  Ni6  1  0.612  0.612  0.109  1.0
  Ni  Ni7  1  0.389  0.889  0.389  1.0
  Ni  Ni8  1  0.889  0.389  0.389  1.0
  Ni  Ni9  1  0.389  0.389  0.889  1.0
  Ni  Ni10  1  0.389  0.389  0.389  1.0
  Ni  Ni11  1  0.612  0.612  0.612  1.0
  Ni  Ni12  1  0.278  0.278  0.278  1.0
  Ni  Ni13  1  0.722  0.722  0.722  1.0
  Ni  Ni14  1  0.501  0.501  0.501  1.0
  Ni  Ni15  1  0.001  0.500  0.500  1.0
  Ni  Ni16  1  0.500  0.500  0.001  1.0
  Ni  Ni17  1  0.500  0.001  0.500  1.0
[/CIF]
.