The structure described by Pr10Ni5O22 crystallizes in the triclinic P1 space group. There are ten inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 8-coordinate geometry to one O(7), one O(8), two equivalent O(14), two equivalent O(20), and two equivalent O(6) atoms. In the second Pr site, Pr(2) is bonded in a 5-coordinate geometry to one O(11), two equivalent O(1), two equivalent O(12), and two equivalent O(3) atoms. In the third Pr site, Pr(3) is bonded in a 9-coordinate geometry to one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(7), and two equivalent O(8) atoms. In the fourth Pr site, Pr(4) is bonded in a 9-coordinate geometry to one O(5), two equivalent O(15), two equivalent O(16), two equivalent O(2), and two equivalent O(9) atoms. In the fifth Pr site, Pr(5) is bonded in a 9-coordinate geometry to one O(12), two equivalent O(2), two equivalent O(9), and four equivalent O(11) atoms. In the sixth Pr site, Pr(6) is bonded in a 9-coordinate geometry to one O(18), two equivalent O(13), two equivalent O(4), and four equivalent O(19) atoms. In the seventh Pr site, Pr(7) is bonded in a 7-coordinate geometry to one O(15), one O(16), two equivalent O(13), two equivalent O(4), and two equivalent O(5) atoms. In the eighth Pr site, Pr(8) is bonded in a 7-coordinate geometry to one O(22), two equivalent O(10), two equivalent O(17), and two equivalent O(21) atoms. In the ninth Pr site, Pr(9) is bonded in a 9-coordinate geometry to one O(19), two equivalent O(10), two equivalent O(17), and four equivalent O(18) atoms. In the tenth Pr site, Pr(10) is bonded in a 7-coordinate geometry to one O(21), two equivalent O(14), two equivalent O(20), and two equivalent O(22) atoms. There are five inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(12), two equivalent O(1), and two equivalent O(3) atoms to form corner-sharing NiO5 trigonal bipyramids. In the second Ni site, Ni(2) is bonded to one O(11), one O(16), two equivalent O(2), and two equivalent O(9) atoms to form NiO6 octahedra that share corners with four equivalent Ni(2)O6 octahedra and  a cornercorner with one O(15)Pr3O tetrahedra. The corner-sharing octahedral tilt angles range from 10-15°. In the third Ni site, Ni(3) is bonded to one O(19), one O(5), two equivalent O(13), and two equivalent O(4) atoms to form distorted corner-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the fourth Ni site, Ni(4) is bonded to one O(18), one O(21), two equivalent O(10), and two equivalent O(17) atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. In the fifth Ni site, Ni(5) is bonded in a 6-coordinate geometry to one O(22), one O(6), two equivalent O(14), and two equivalent O(20) atoms. There are twenty-two inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to two equivalent Pr(2), two equivalent Pr(3), and two equivalent Ni(1) atoms. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Pr(4), two equivalent Pr(5), and two equivalent Ni(2) atoms. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Pr(2), two equivalent Pr(3), and two equivalent Ni(1) atoms. In the fourth O site, O(4) is bonded to two equivalent Pr(6), two equivalent Pr(7), and two equivalent Ni(3) atoms to form distorted OPr4Ni2 octahedra that share corners with two equivalent O(4)Pr4Ni2 octahedra, corners with two equivalent O(15)Pr3O tetrahedra, corners with three equivalent O(5)Pr3Ni tetrahedra, edges with two equivalent O(4)Pr4Ni2 octahedra, faces with four equivalent O(13)Pr4Ni2 octahedra, and  a faceface with one O(5)Pr3Ni tetrahedra. The corner-sharing octahedral tilt angles are 4°. In the fifth O site, O(5) is bonded to one Pr(4), two equivalent Pr(7), and one Ni(3) atom to form distorted OPr3Ni tetrahedra that share corners with two equivalent O(13)Pr4Ni2 octahedra, corners with three equivalent O(4)Pr4Ni2 octahedra, corners with two equivalent O(5)Pr3Ni tetrahedra, corners with four equivalent O(15)Pr3O tetrahedra, edges with two equivalent O(13)Pr4Ni2 octahedra, and  a faceface with one O(4)Pr4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 32-81°. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Pr(3), two equivalent Pr(1), and one Ni(5) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Pr(1), two equivalent Pr(3), and one O(8) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Pr(1), two equivalent Pr(3), and one O(7) atom. In the ninth O site, O(9) is bonded in a 6-coordinate geometry to two equivalent Pr(4), two equivalent Pr(5), and two equivalent Ni(2) atoms. In the tenth O site, O(10) is bonded to two equivalent Pr(8), two equivalent Pr(9), and two equivalent Ni(4) atoms to form a mixture of face, corner, and edge-sharing OPr4Ni2 octahedra. The corner-sharing octahedral tilt angles are 7°. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Pr(2), four equivalent Pr(5), and one Ni(2) atom. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Pr(5), two equivalent Pr(2), and one Ni(1) atom. In the thirteenth O site, O(13) is bonded to two equivalent Pr(6), two equivalent Pr(7), and two equivalent Ni(3) atoms to form distorted OPr4Ni2 octahedra that share corners with two equivalent O(13)Pr4Ni2 octahedra, corners with two equivalent O(5)Pr3Ni tetrahedra, corners with two equivalent O(15)Pr3O tetrahedra, edges with two equivalent O(13)Pr4Ni2 octahedra, edges with two equivalent O(5)Pr3Ni tetrahedra, and faces with four equivalent O(4)Pr4Ni2 octahedra. The corner-sharing octahedral tilt angles are 8°. In the fourteenth O site, O(14) is bonded in a 6-coordinate geometry to two equivalent Pr(1), two equivalent Pr(10), and two equivalent Ni(5) atoms. In the fifteenth O site, O(15) is bonded to one Pr(7), two equivalent Pr(4), and one O(16) atom to form distorted OPr3O tetrahedra that share  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent O(13)Pr4Ni2 octahedra, corners with two equivalent O(4)Pr4Ni2 octahedra, corners with two equivalent O(15)Pr3O tetrahedra, and corners with four equivalent O(5)Pr3Ni tetrahedra. The corner-sharing octahedral tilt angles range from 21-80°. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to one Pr(7), two equivalent Pr(4), one Ni(2), and one O(15) atom. In the seventeenth O site, O(17) is bonded to two equivalent Pr(8), two equivalent Pr(9), and two equivalent Ni(4) atoms to form a mixture of distorted face, corner, and edge-sharing OPr4Ni2 octahedra. The corner-sharing octahedral tilt angles are 7°. In the eighteenth O site, O(18) is bonded in a 6-coordinate geometry to one Pr(6), four equivalent Pr(9), and one Ni(4) atom. In the nineteenth O site, O(19) is bonded in a 6-coordinate geometry to one Pr(9), four equivalent Pr(6), and one Ni(3) atom. In the twentieth O site, O(20) is bonded in a 6-coordinate geometry to two equivalent Pr(1), two equivalent Pr(10), and two equivalent Ni(5) atoms. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Pr(10), two equivalent Pr(8), and one Ni(4) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Pr(8), two equivalent Pr(10), and one Ni(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr10Ni5O22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.961
_cell_length_b   3.991
_cell_length_c   34.727
_cell_angle_alpha   106.529
_cell_angle_beta   106.683
_cell_angle_gamma   89.275
_symmetry_Int_Tables_number   1
_cell_volume   502.796
_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  0.419  0.467  0.955  1.0
  Pr  Pr1  1  0.329  0.310  0.744  1.0
  Pr  Pr2  1  0.643  0.606  0.855  1.0
  Pr  Pr3  1  0.359  0.319  0.542  1.0
  Pr  Pr4  1  0.672  0.662  0.652  1.0
  Pr  Pr5  1  0.417  0.356  0.343  1.0
  Pr  Pr6  1  0.659  0.655  0.448  1.0
  Pr  Pr7  1  0.410  0.350  0.150  1.0
  Pr  Pr8  1  0.674  0.596  0.254  1.0
  Pr  Pr9  1  0.657  0.652  0.063  1.0
  Ni  Ni10  1  0.968  0.959  0.793  1.0
  Ni  Ni11  1  0.013  0.018  0.602  1.0
  Ni  Ni12  1  0.034  0.962  0.394  1.0
  Ni  Ni13  1  0.070  0.968  0.202  1.0
  Ni  Ni14  1  0.038  0.042  0.005  1.0
  O  O15  1  0.021  0.495  0.809  1.0
  O  O16  1  0.048  0.527  0.607  1.0
  O  O17  1  0.462  0.929  0.791  1.0
  O  O18  1  0.037  0.466  0.396  1.0
  O  O19  1  0.195  0.030  0.469  1.0
  O  O20  1  0.873  0.777  0.940  1.0
  O  O21  1  0.929  0.172  0.884  1.0
  O  O22  1  0.552  0.180  0.886  1.0
  O  O23  1  0.497  0.976  0.594  1.0
  O  O24  1  0.044  0.471  0.203  1.0
  O  O25  1  0.078  0.204  0.672  1.0
  O  O26  1  0.792  0.921  0.728  1.0
  O  O27  1  0.540  0.998  0.396  1.0
  O  O28  1  0.038  0.570  0.016  1.0
  O  O29  1  0.782  0.533  0.515  1.0
  O  O30  1  0.845  0.920  0.532  1.0
  O  O31  1  0.579  0.977  0.205  1.0
  O  O32  1  0.285  0.123  0.272  1.0
  O  O33  1  0.890  0.731  0.327  1.0
  O  O34  1  0.528  0.067  0.002  1.0
  O  O35  1  0.999  0.816  0.134  1.0
  O  O36  1  0.396  0.206  0.082  1.0
[/CIF]
.
The structure described by Pr10Ni5O22 crystallizes in the triclinic P1 space group. There are ten inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 8-coordinate geometry to one O(7), one O(8), two equivalent O(14), two equivalent O(20), and two equivalent O(6) atoms. In the second Pr site, Pr(2) is bonded in a 5-coordinate geometry to one O(11), two equivalent O(1), two equivalent O(12), and two equivalent O(3) atoms. In the third Pr site, Pr(3) is bonded in a 9-coordinate geometry to one O(6), two equivalent O(1), two equivalent O(3), two equivalent O(7), and two equivalent O(8) atoms. In the fourth Pr site, Pr(4) is bonded in a 9-coordinate geometry to one O(5), two equivalent O(15), two equivalent O(16), two equivalent O(2), and two equivalent O(9) atoms. In the fifth Pr site, Pr(5) is bonded in a 9-coordinate geometry to one O(12), two equivalent O(2), two equivalent O(9), and four equivalent O(11) atoms. In the sixth Pr site, Pr(6) is bonded in a 9-coordinate geometry to one O(18), two equivalent O(13), two equivalent O(4), and four equivalent O(19) atoms. In the seventh Pr site, Pr(7) is bonded in a 7-coordinate geometry to one O(15), one O(16), two equivalent O(13), two equivalent O(4), and two equivalent O(5) atoms. In the eighth Pr site, Pr(8) is bonded in a 7-coordinate geometry to one O(22), two equivalent O(10), two equivalent O(17), and two equivalent O(21) atoms. In the ninth Pr site, Pr(9) is bonded in a 9-coordinate geometry to one O(19), two equivalent O(10), two equivalent O(17), and four equivalent O(18) atoms. In the tenth Pr site, Pr(10) is bonded in a 7-coordinate geometry to one O(21), two equivalent O(14), two equivalent O(20), and two equivalent O(22) atoms. There are five inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(12), two equivalent O(1), and two equivalent O(3) atoms to form corner-sharing NiO5 trigonal bipyramids. In the second Ni site, Ni(2) is bonded to one O(11), one O(16), two equivalent O(2), and two equivalent O(9) atoms to form NiO6 octahedra that share corners with four equivalent Ni(2)O6 octahedra and  a cornercorner with one O(15)Pr3O tetrahedra. The corner-sharing octahedral tilt angles range from 10-15°. In the third Ni site, Ni(3) is bonded to one O(19), one O(5), two equivalent O(13), and two equivalent O(4) atoms to form distorted corner-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles range from 4-8°. In the fourth Ni site, Ni(4) is bonded to one O(18), one O(21), two equivalent O(10), and two equivalent O(17) atoms to form corner-sharing NiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. In the fifth Ni site, Ni(5) is bonded in a 6-coordinate geometry to one O(22), one O(6), two equivalent O(14), and two equivalent O(20) atoms. There are twenty-two inequivalent O sites. In the first O site, O(1) is bonded in a 6-coordinate geometry to two equivalent Pr(2), two equivalent Pr(3), and two equivalent Ni(1) atoms. In the second O site, O(2) is bonded in a 6-coordinate geometry to two equivalent Pr(4), two equivalent Pr(5), and two equivalent Ni(2) atoms. In the third O site, O(3) is bonded in a 6-coordinate geometry to two equivalent Pr(2), two equivalent Pr(3), and two equivalent Ni(1) atoms. In the fourth O site, O(4) is bonded to two equivalent Pr(6), two equivalent Pr(7), and two equivalent Ni(3) atoms to form distorted OPr4Ni2 octahedra that share corners with two equivalent O(4)Pr4Ni2 octahedra, corners with two equivalent O(15)Pr3O tetrahedra, corners with three equivalent O(5)Pr3Ni tetrahedra, edges with two equivalent O(4)Pr4Ni2 octahedra, faces with four equivalent O(13)Pr4Ni2 octahedra, and  a faceface with one O(5)Pr3Ni tetrahedra. The corner-sharing octahedral tilt angles are 4°. In the fifth O site, O(5) is bonded to one Pr(4), two equivalent Pr(7), and one Ni(3) atom to form distorted OPr3Ni tetrahedra that share corners with two equivalent O(13)Pr4Ni2 octahedra, corners with three equivalent O(4)Pr4Ni2 octahedra, corners with two equivalent O(5)Pr3Ni tetrahedra, corners with four equivalent O(15)Pr3O tetrahedra, edges with two equivalent O(13)Pr4Ni2 octahedra, and  a faceface with one O(4)Pr4Ni2 octahedra. The corner-sharing octahedral tilt angles range from 32-81°. In the sixth O site, O(6) is bonded in a 4-coordinate geometry to one Pr(3), two equivalent Pr(1), and one Ni(5) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Pr(1), two equivalent Pr(3), and one O(8) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Pr(1), two equivalent Pr(3), and one O(7) atom. In the ninth O site, O(9) is bonded in a 6-coordinate geometry to two equivalent Pr(4), two equivalent Pr(5), and two equivalent Ni(2) atoms. In the tenth O site, O(10) is bonded to two equivalent Pr(8), two equivalent Pr(9), and two equivalent Ni(4) atoms to form a mixture of face, corner, and edge-sharing OPr4Ni2 octahedra. The corner-sharing octahedral tilt angles are 7°. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Pr(2), four equivalent Pr(5), and one Ni(2) atom. In the twelfth O site, O(12) is bonded in a distorted see-saw-like geometry to one Pr(5), two equivalent Pr(2), and one Ni(1) atom. In the thirteenth O site, O(13) is bonded to two equivalent Pr(6), two equivalent Pr(7), and two equivalent Ni(3) atoms to form distorted OPr4Ni2 octahedra that share corners with two equivalent O(13)Pr4Ni2 octahedra, corners with two equivalent O(5)Pr3Ni tetrahedra, corners with two equivalent O(15)Pr3O tetrahedra, edges with two equivalent O(13)Pr4Ni2 octahedra, edges with two equivalent O(5)Pr3Ni tetrahedra, and faces with four equivalent O(4)Pr4Ni2 octahedra. The corner-sharing octahedral tilt angles are 8°. In the fourteenth O site, O(14) is bonded in a 6-coordinate geometry to two equivalent Pr(1), two equivalent Pr(10), and two equivalent Ni(5) atoms. In the fifteenth O site, O(15) is bonded to one Pr(7), two equivalent Pr(4), and one O(16) atom to form distorted OPr3O tetrahedra that share  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent O(13)Pr4Ni2 octahedra, corners with two equivalent O(4)Pr4Ni2 octahedra, corners with two equivalent O(15)Pr3O tetrahedra, and corners with four equivalent O(5)Pr3Ni tetrahedra. The corner-sharing octahedral tilt angles range from 21-80°. In the sixteenth O site, O(16) is bonded in a 5-coordinate geometry to one Pr(7), two equivalent Pr(4), one Ni(2), and one O(15) atom. In the seventeenth O site, O(17) is bonded to two equivalent Pr(8), two equivalent Pr(9), and two equivalent Ni(4) atoms to form a mixture of distorted face, corner, and edge-sharing OPr4Ni2 octahedra. The corner-sharing octahedral tilt angles are 7°. In the eighteenth O site, O(18) is bonded in a 6-coordinate geometry to one Pr(6), four equivalent Pr(9), and one Ni(4) atom. In the nineteenth O site, O(19) is bonded in a 6-coordinate geometry to one Pr(9), four equivalent Pr(6), and one Ni(3) atom. In the twentieth O site, O(20) is bonded in a 6-coordinate geometry to two equivalent Pr(1), two equivalent Pr(10), and two equivalent Ni(5) atoms. In the twenty-first O site, O(21) is bonded in a 4-coordinate geometry to one Pr(10), two equivalent Pr(8), and one Ni(4) atom. In the twenty-second O site, O(22) is bonded in a 4-coordinate geometry to one Pr(8), two equivalent Pr(10), and one Ni(5) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr10Ni5O22
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.961
_cell_length_b   3.991
_cell_length_c   34.727
_cell_angle_alpha   106.529
_cell_angle_beta   106.683
_cell_angle_gamma   89.275
_symmetry_Int_Tables_number   1
_cell_volume   502.796
_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  0.419  0.467  0.955  1.0
  Pr  Pr1  1  0.329  0.310  0.744  1.0
  Pr  Pr2  1  0.643  0.606  0.855  1.0
  Pr  Pr3  1  0.359  0.319  0.542  1.0
  Pr  Pr4  1  0.672  0.662  0.652  1.0
  Pr  Pr5  1  0.417  0.356  0.343  1.0
  Pr  Pr6  1  0.659  0.655  0.448  1.0
  Pr  Pr7  1  0.410  0.350  0.150  1.0
  Pr  Pr8  1  0.674  0.596  0.254  1.0
  Pr  Pr9  1  0.657  0.652  0.063  1.0
  Ni  Ni10  1  0.968  0.959  0.793  1.0
  Ni  Ni11  1  0.013  0.018  0.602  1.0
  Ni  Ni12  1  0.034  0.962  0.394  1.0
  Ni  Ni13  1  0.070  0.968  0.202  1.0
  Ni  Ni14  1  0.038  0.042  0.005  1.0
  O  O15  1  0.021  0.495  0.809  1.0
  O  O16  1  0.048  0.527  0.607  1.0
  O  O17  1  0.462  0.929  0.791  1.0
  O  O18  1  0.037  0.466  0.396  1.0
  O  O19  1  0.195  0.030  0.469  1.0
  O  O20  1  0.873  0.777  0.940  1.0
  O  O21  1  0.929  0.172  0.884  1.0
  O  O22  1  0.552  0.180  0.886  1.0
  O  O23  1  0.497  0.976  0.594  1.0
  O  O24  1  0.044  0.471  0.203  1.0
  O  O25  1  0.078  0.204  0.672  1.0
  O  O26  1  0.792  0.921  0.728  1.0
  O  O27  1  0.540  0.998  0.396  1.0
  O  O28  1  0.038  0.570  0.016  1.0
  O  O29  1  0.782  0.533  0.515  1.0
  O  O30  1  0.845  0.920  0.532  1.0
  O  O31  1  0.579  0.977  0.205  1.0
  O  O32  1  0.285  0.123  0.272  1.0
  O  O33  1  0.890  0.731  0.327  1.0
  O  O34  1  0.528  0.067  0.002  1.0
  O  O35  1  0.999  0.816  0.134  1.0
  O  O36  1  0.396  0.206  0.082  1.0
[/CIF]
.