The material described by Pr2Mo15O28 crystallizes in the triclinic P1 space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 8-coordinate geometry to one O(1), one O(18), one O(2), one O(22), one O(24), one O(25), one O(4), and one O(7) atom. In the second Pr site, Pr(2) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(15), one O(17), one O(20), one O(5), and one O(9) atom. There are fifteen inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(22), one O(23), one O(28), one O(5), and one O(7) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid,  an edgeedge with one Mo(11)O6 octahedra, and  an edgeedge with one Mo(15)O6 octahedra. In the second Mo site, Mo(2) is bonded to one O(25), one O(27), one O(3), one O(6), and one O(9) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid, and  an edgeedge with one Mo(15)O6 octahedra. The corner-sharing octahedral tilt angles are 59°. In the third Mo site, Mo(3) is bonded to one O(12), one O(13), one O(2), one O(7), and one O(9) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid, and  an edgeedge with one Mo(11)O6 octahedra. In the fourth Mo site, Mo(4) is bonded to one O(1), one O(11), one O(13), one O(5), and one O(6) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid, and  an edgeedge with one Mo(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-47°. In the fifth Mo site, Mo(5) is bonded to one O(11), one O(15), one O(3), one O(4), and one O(8) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the sixth Mo site, Mo(6) is bonded to one O(10), one O(14), one O(16), one O(4), and one O(7) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid, and  a cornercorner with one Mo(12)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 19-55°. In the seventh Mo site, Mo(7) is bonded to one O(14), one O(15), one O(18), one O(19), one O(6), and one O(8) atom to form a mixture of corner and edge-sharing MoO6 octahedra. In the eighth Mo site, Mo(8) is bonded to one O(10), one O(12), one O(18), one O(20), and one O(8) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the ninth Mo site, Mo(9) is bonded to one O(11), one O(14), one O(19), one O(21), and one O(24) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. In the tenth Mo site, Mo(10) is bonded to one O(15), one O(18), one O(21), one O(25), and one O(26) atom to form MoO5 trigonal bipyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the eleventh Mo site, Mo(11) is bonded to one O(12), one O(13), one O(16), one O(17), one O(22), and one O(23) atom to form MoO6 octahedra that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid,  an edgeedge with one Mo(1)O5 square pyramid,  an edgeedge with one Mo(13)O5 square pyramid,  an edgeedge with one Mo(14)O5 square pyramid, and  an edgeedge with one Mo(3)O5 square pyramid. The corner-sharing octahedral tilt angles are 16°. In the twelfth Mo site, Mo(12) is bonded to one O(16), one O(20), one O(24), one O(26), and one O(28) atom to form MoO5 trigonal bipyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid, and  a cornercorner with one Mo(10)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. In the thirteenth Mo site, Mo(13) is bonded to one O(1), one O(17), one O(19), one O(23), and one O(25) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  an edgeedge with one Mo(11)O6 octahedra, and  an edgeedge with one Mo(15)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. In the fourteenth Mo site, Mo(14) is bonded to one O(17), one O(2), one O(20), one O(22), and one O(27) atom to form distorted MoO5 square pyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(11)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the fifteenth Mo site, Mo(15) is bonded to one O(1), one O(21), one O(23), one O(27), one O(3), and one O(5) atom to form MoO6 octahedra that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  an edgeedge with one Mo(1)O5 square pyramid,  an edgeedge with one Mo(13)O5 square pyramid,  an edgeedge with one Mo(2)O5 square pyramid, and  an edgeedge with one Mo(4)O5 square pyramid. The corner-sharing octahedral tilt angles are 16°. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded to one Pr(1), one Mo(13), one Mo(15), and one Mo(4) atom to form a mixture of corner and edge-sharing OPrMo3 trigonal pyramids. In the second O site, O(2) is bonded in a water-like geometry to one Pr(1), one Mo(14), and one Mo(3) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mo(15), one Mo(2), and one Mo(5) atom. In the fourth O site, O(4) is bonded in a distorted water-like geometry to one Pr(1), one Mo(5), and one Mo(6) atom. In the fifth O site, O(5) is bonded to one Pr(2), one Mo(1), one Mo(15), and one Mo(4) atom to form a mixture of distorted corner and edge-sharing OPrMo3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mo(2), one Mo(4), and one Mo(7) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Pr(1), one Mo(1), one Mo(3), and one Mo(6) atom. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Mo(5), one Mo(7), and one Mo(8) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Pr(2), one Mo(2), and one Mo(3) atom. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Pr(2), one Mo(6), and one Mo(8) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Pr(2), one Mo(4), one Mo(5), and one Mo(9) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Mo(11), one Mo(3), and one Mo(8) atom. In the thirteenth O site, O(13) is bonded in a T-shaped geometry to one Mo(11), one Mo(3), and one Mo(4) atom. In the fourteenth O site, O(14) is bonded in a T-shaped geometry to one Mo(6), one Mo(7), and one Mo(9) atom. In the fifteenth O site, O(15) is bonded in a distorted rectangular see-saw-like geometry to one Pr(2), one Mo(10), one Mo(5), and one Mo(7) atom. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to one Mo(11), one Mo(12), and one Mo(6) atom. In the seventeenth O site, O(17) is bonded in a distorted rectangular see-saw-like geometry to one Pr(2), one Mo(11), one Mo(13), and one Mo(14) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Pr(1), one Mo(10), one Mo(7), and one Mo(8) atom. In the nineteenth O site, O(19) is bonded in a trigonal planar geometry to one Mo(13), one Mo(7), and one Mo(9) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Pr(2), one Mo(12), one Mo(14), and one Mo(8) atom. In the twenty-first O site, O(21) is bonded in a trigonal planar geometry to one Mo(10), one Mo(15), and one Mo(9) atom. In the twenty-second O site, O(22) is bonded to one Pr(1), one Mo(1), one Mo(11), and one Mo(14) atom to form distorted corner-sharing OPrMo3 tetrahedra. In the twenty-third O site, O(23) is bonded in a see-saw-like geometry to one Mo(1), one Mo(11), one Mo(13), and one Mo(15) atom. In the twenty-fourth O site, O(24) is bonded in a trigonal planar geometry to one Pr(1), one Mo(12), and one Mo(9) atom. In the twenty-fifth O site, O(25) is bonded to one Pr(1), one Mo(10), one Mo(13), and one Mo(2) atom to form a mixture of distorted corner and edge-sharing OPrMo3 tetrahedra. In the twenty-sixth O site, O(26) is bonded in a bent 120 degrees geometry to one Mo(10) and one Mo(12) atom. In the twenty-seventh O site, O(27) is bonded in a T-shaped geometry to one Mo(14), one Mo(15), and one Mo(2) atom. In the twenty-eighth O site, O(28) is bonded in a bent 150 degrees geometry to one Mo(1) and one Mo(12) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr2Mo15O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.232
_cell_length_b   8.289
_cell_length_c   9.417
_cell_angle_alpha   89.514
_cell_angle_beta   89.088
_cell_angle_gamma   80.291
_symmetry_Int_Tables_number   1
_cell_volume   633.223
_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  0.939  0.977  0.497  1.0
  Pr  Pr1  1  0.459  0.452  0.003  1.0
  Mo  Mo2  1  0.015  0.823  0.854  1.0
  Mo  Mo3  1  0.096  0.245  0.149  1.0
  Mo  Mo4  1  0.244  0.105  0.852  1.0
  Mo  Mo5  1  0.235  0.873  0.132  1.0
  Mo  Mo6  1  0.310  0.513  0.375  1.0
  Mo  Mo7  1  0.373  0.723  0.632  1.0
  Mo  Mo8  1  0.457  0.118  0.374  1.0
  Mo  Mo9  1  0.507  0.338  0.645  1.0
  Mo  Mo10  1  0.597  0.742  0.359  1.0
  Mo  Mo11  1  0.716  0.366  0.363  1.0
  Mo  Mo12  1  0.622  0.955  0.864  1.0
  Mo  Mo13  1  0.775  0.591  0.647  1.0
  Mo  Mo14  1  0.830  0.010  0.142  1.0
  Mo  Mo15  1  0.872  0.240  0.877  1.0
  Mo  Mo16  1  0.956  0.623  0.133  1.0
  O  O17  1  0.014  0.839  0.245  1.0
  O  O18  1  0.057  0.213  0.740  1.0
  O  O19  1  0.119  0.458  0.256  1.0
  O  O20  1  0.194  0.693  0.496  1.0
  O  O21  1  0.164  0.689  0.008  1.0
  O  O22  1  0.258  0.061  0.253  1.0
  O  O23  1  0.192  0.899  0.724  1.0
  O  O24  1  0.322  0.317  0.497  1.0
  O  O25  1  0.276  0.280  0.989  1.0
  O  O26  1  0.368  0.535  0.763  1.0
  O  O27  1  0.400  0.682  0.232  1.0
  O  O28  1  0.456  0.129  0.750  1.0
  O  O29  1  0.388  0.921  0.971  1.0
  O  O30  1  0.442  0.890  0.485  1.0
  O  O31  1  0.490  0.342  0.250  1.0
  O  O32  1  0.593  0.749  0.735  1.0
  O  O33  1  0.679  0.165  0.988  1.0
  O  O34  1  0.662  0.174  0.497  1.0
  O  O35  1  0.627  0.950  0.251  1.0
  O  O36  1  0.696  0.413  0.784  1.0
  O  O37  1  0.745  0.577  0.243  1.0
  O  O38  1  0.844  0.004  0.755  1.0
  O  O39  1  0.816  0.812  0.996  1.0
  O  O40  1  0.785  0.768  0.495  1.0
  O  O41  1  0.903  0.178  0.289  1.0
  O  O42  1  0.863  0.433  0.522  1.0
  O  O43  1  0.923  0.399  0.018  1.0
  O  O44  1  0.961  0.646  0.746  1.0
[/CIF]
.
The material described by Pr2Mo15O28 crystallizes in the triclinic P1 space group. There are two inequivalent Pr sites. In the first Pr site, Pr(1) is bonded in a 8-coordinate geometry to one O(1), one O(18), one O(2), one O(22), one O(24), one O(25), one O(4), and one O(7) atom. In the second Pr site, Pr(2) is bonded in a 7-coordinate geometry to one O(10), one O(11), one O(15), one O(17), one O(20), one O(5), and one O(9) atom. There are fifteen inequivalent Mo sites. In the first Mo site, Mo(1) is bonded to one O(22), one O(23), one O(28), one O(5), and one O(7) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid,  an edgeedge with one Mo(11)O6 octahedra, and  an edgeedge with one Mo(15)O6 octahedra. In the second Mo site, Mo(2) is bonded to one O(25), one O(27), one O(3), one O(6), and one O(9) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid, and  an edgeedge with one Mo(15)O6 octahedra. The corner-sharing octahedral tilt angles are 59°. In the third Mo site, Mo(3) is bonded to one O(12), one O(13), one O(2), one O(7), and one O(9) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid, and  an edgeedge with one Mo(11)O6 octahedra. In the fourth Mo site, Mo(4) is bonded to one O(1), one O(11), one O(13), one O(5), and one O(6) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid, and  an edgeedge with one Mo(15)O6 octahedra. The corner-sharing octahedral tilt angles range from 22-47°. In the fifth Mo site, Mo(5) is bonded to one O(11), one O(15), one O(3), one O(4), and one O(8) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 54°. In the sixth Mo site, Mo(6) is bonded to one O(10), one O(14), one O(16), one O(4), and one O(7) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid, and  a cornercorner with one Mo(12)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles range from 19-55°. In the seventh Mo site, Mo(7) is bonded to one O(14), one O(15), one O(18), one O(19), one O(6), and one O(8) atom to form a mixture of corner and edge-sharing MoO6 octahedra. In the eighth Mo site, Mo(8) is bonded to one O(10), one O(12), one O(18), one O(20), and one O(8) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 53°. In the ninth Mo site, Mo(9) is bonded to one O(11), one O(14), one O(19), one O(21), and one O(24) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. In the tenth Mo site, Mo(10) is bonded to one O(15), one O(18), one O(21), one O(25), and one O(26) atom to form MoO5 trigonal bipyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(7)O6 octahedra. The corner-sharing octahedral tilt angles are 52°. In the eleventh Mo site, Mo(11) is bonded to one O(12), one O(13), one O(16), one O(17), one O(22), and one O(23) atom to form MoO6 octahedra that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid,  an edgeedge with one Mo(1)O5 square pyramid,  an edgeedge with one Mo(13)O5 square pyramid,  an edgeedge with one Mo(14)O5 square pyramid, and  an edgeedge with one Mo(3)O5 square pyramid. The corner-sharing octahedral tilt angles are 16°. In the twelfth Mo site, Mo(12) is bonded to one O(16), one O(20), one O(24), one O(26), and one O(28) atom to form MoO5 trigonal bipyramids that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(6)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid, and  a cornercorner with one Mo(10)O5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. In the thirteenth Mo site, Mo(13) is bonded to one O(1), one O(17), one O(19), one O(23), and one O(25) atom to form MoO5 square pyramids that share  a cornercorner with one Mo(7)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(4)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  an edgeedge with one Mo(11)O6 octahedra, and  an edgeedge with one Mo(15)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. In the fourteenth Mo site, Mo(14) is bonded to one O(17), one O(2), one O(20), one O(22), and one O(27) atom to form distorted MoO5 square pyramids that share  a cornercorner with one Mo(15)O6 octahedra,  a cornercorner with one Mo(1)O5 square pyramid,  a cornercorner with one Mo(13)O5 square pyramid,  a cornercorner with one Mo(2)O5 square pyramid,  a cornercorner with one Mo(3)O5 square pyramid,  a cornercorner with one Mo(8)O5 square pyramid,  a cornercorner with one Mo(12)O5 trigonal bipyramid, and  an edgeedge with one Mo(11)O6 octahedra. The corner-sharing octahedral tilt angles are 15°. In the fifteenth Mo site, Mo(15) is bonded to one O(1), one O(21), one O(23), one O(27), one O(3), and one O(5) atom to form MoO6 octahedra that share  a cornercorner with one Mo(11)O6 octahedra,  a cornercorner with one Mo(14)O5 square pyramid,  a cornercorner with one Mo(5)O5 square pyramid,  a cornercorner with one Mo(9)O5 square pyramid,  a cornercorner with one Mo(10)O5 trigonal bipyramid,  an edgeedge with one Mo(1)O5 square pyramid,  an edgeedge with one Mo(13)O5 square pyramid,  an edgeedge with one Mo(2)O5 square pyramid, and  an edgeedge with one Mo(4)O5 square pyramid. The corner-sharing octahedral tilt angles are 16°. There are twenty-eight inequivalent O sites. In the first O site, O(1) is bonded to one Pr(1), one Mo(13), one Mo(15), and one Mo(4) atom to form a mixture of corner and edge-sharing OPrMo3 trigonal pyramids. In the second O site, O(2) is bonded in a water-like geometry to one Pr(1), one Mo(14), and one Mo(3) atom. In the third O site, O(3) is bonded in a trigonal planar geometry to one Mo(15), one Mo(2), and one Mo(5) atom. In the fourth O site, O(4) is bonded in a distorted water-like geometry to one Pr(1), one Mo(5), and one Mo(6) atom. In the fifth O site, O(5) is bonded to one Pr(2), one Mo(1), one Mo(15), and one Mo(4) atom to form a mixture of distorted corner and edge-sharing OPrMo3 tetrahedra. In the sixth O site, O(6) is bonded in a distorted trigonal planar geometry to one Mo(2), one Mo(4), and one Mo(7) atom. In the seventh O site, O(7) is bonded in a 4-coordinate geometry to one Pr(1), one Mo(1), one Mo(3), and one Mo(6) atom. In the eighth O site, O(8) is bonded in a trigonal non-coplanar geometry to one Mo(5), one Mo(7), and one Mo(8) atom. In the ninth O site, O(9) is bonded in a distorted trigonal planar geometry to one Pr(2), one Mo(2), and one Mo(3) atom. In the tenth O site, O(10) is bonded in a distorted trigonal non-coplanar geometry to one Pr(2), one Mo(6), and one Mo(8) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Pr(2), one Mo(4), one Mo(5), and one Mo(9) atom. In the twelfth O site, O(12) is bonded in a trigonal planar geometry to one Mo(11), one Mo(3), and one Mo(8) atom. In the thirteenth O site, O(13) is bonded in a T-shaped geometry to one Mo(11), one Mo(3), and one Mo(4) atom. In the fourteenth O site, O(14) is bonded in a T-shaped geometry to one Mo(6), one Mo(7), and one Mo(9) atom. In the fifteenth O site, O(15) is bonded in a distorted rectangular see-saw-like geometry to one Pr(2), one Mo(10), one Mo(5), and one Mo(7) atom. In the sixteenth O site, O(16) is bonded in a trigonal planar geometry to one Mo(11), one Mo(12), and one Mo(6) atom. In the seventeenth O site, O(17) is bonded in a distorted rectangular see-saw-like geometry to one Pr(2), one Mo(11), one Mo(13), and one Mo(14) atom. In the eighteenth O site, O(18) is bonded in a rectangular see-saw-like geometry to one Pr(1), one Mo(10), one Mo(7), and one Mo(8) atom. In the nineteenth O site, O(19) is bonded in a trigonal planar geometry to one Mo(13), one Mo(7), and one Mo(9) atom. In the twentieth O site, O(20) is bonded in a 4-coordinate geometry to one Pr(2), one Mo(12), one Mo(14), and one Mo(8) atom. In the twenty-first O site, O(21) is bonded in a trigonal planar geometry to one Mo(10), one Mo(15), and one Mo(9) atom. In the twenty-second O site, O(22) is bonded to one Pr(1), one Mo(1), one Mo(11), and one Mo(14) atom to form distorted corner-sharing OPrMo3 tetrahedra. In the twenty-third O site, O(23) is bonded in a see-saw-like geometry to one Mo(1), one Mo(11), one Mo(13), and one Mo(15) atom. In the twenty-fourth O site, O(24) is bonded in a trigonal planar geometry to one Pr(1), one Mo(12), and one Mo(9) atom. In the twenty-fifth O site, O(25) is bonded to one Pr(1), one Mo(10), one Mo(13), and one Mo(2) atom to form a mixture of distorted corner and edge-sharing OPrMo3 tetrahedra. In the twenty-sixth O site, O(26) is bonded in a bent 120 degrees geometry to one Mo(10) and one Mo(12) atom. In the twenty-seventh O site, O(27) is bonded in a T-shaped geometry to one Mo(14), one Mo(15), and one Mo(2) atom. In the twenty-eighth O site, O(28) is bonded in a bent 150 degrees geometry to one Mo(1) and one Mo(12) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Pr2Mo15O28
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.232
_cell_length_b   8.289
_cell_length_c   9.417
_cell_angle_alpha   89.514
_cell_angle_beta   89.088
_cell_angle_gamma   80.291
_symmetry_Int_Tables_number   1
_cell_volume   633.223
_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  0.939  0.977  0.497  1.0
  Pr  Pr1  1  0.459  0.452  0.003  1.0
  Mo  Mo2  1  0.015  0.823  0.854  1.0
  Mo  Mo3  1  0.096  0.245  0.149  1.0
  Mo  Mo4  1  0.244  0.105  0.852  1.0
  Mo  Mo5  1  0.235  0.873  0.132  1.0
  Mo  Mo6  1  0.310  0.513  0.375  1.0
  Mo  Mo7  1  0.373  0.723  0.632  1.0
  Mo  Mo8  1  0.457  0.118  0.374  1.0
  Mo  Mo9  1  0.507  0.338  0.645  1.0
  Mo  Mo10  1  0.597  0.742  0.359  1.0
  Mo  Mo11  1  0.716  0.366  0.363  1.0
  Mo  Mo12  1  0.622  0.955  0.864  1.0
  Mo  Mo13  1  0.775  0.591  0.647  1.0
  Mo  Mo14  1  0.830  0.010  0.142  1.0
  Mo  Mo15  1  0.872  0.240  0.877  1.0
  Mo  Mo16  1  0.956  0.623  0.133  1.0
  O  O17  1  0.014  0.839  0.245  1.0
  O  O18  1  0.057  0.213  0.740  1.0
  O  O19  1  0.119  0.458  0.256  1.0
  O  O20  1  0.194  0.693  0.496  1.0
  O  O21  1  0.164  0.689  0.008  1.0
  O  O22  1  0.258  0.061  0.253  1.0
  O  O23  1  0.192  0.899  0.724  1.0
  O  O24  1  0.322  0.317  0.497  1.0
  O  O25  1  0.276  0.280  0.989  1.0
  O  O26  1  0.368  0.535  0.763  1.0
  O  O27  1  0.400  0.682  0.232  1.0
  O  O28  1  0.456  0.129  0.750  1.0
  O  O29  1  0.388  0.921  0.971  1.0
  O  O30  1  0.442  0.890  0.485  1.0
  O  O31  1  0.490  0.342  0.250  1.0
  O  O32  1  0.593  0.749  0.735  1.0
  O  O33  1  0.679  0.165  0.988  1.0
  O  O34  1  0.662  0.174  0.497  1.0
  O  O35  1  0.627  0.950  0.251  1.0
  O  O36  1  0.696  0.413  0.784  1.0
  O  O37  1  0.745  0.577  0.243  1.0
  O  O38  1  0.844  0.004  0.755  1.0
  O  O39  1  0.816  0.812  0.996  1.0
  O  O40  1  0.785  0.768  0.495  1.0
  O  O41  1  0.903  0.178  0.289  1.0
  O  O42  1  0.863  0.433  0.522  1.0
  O  O43  1  0.923  0.399  0.018  1.0
  O  O44  1  0.961  0.646  0.746  1.0
[/CIF]
.