The structure described by Hf2P2SO12 crystallizes in the monoclinic Cc space group. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form HfO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. In the second Hf site, Hf(2) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(6) atom to form HfO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), one O(4), and one O(7) atom to form PO4 tetrahedra that share corners with two equivalent Hf(1)O6 octahedra and corners with two equivalent Hf(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-30°. In the second P site, P(2) is bonded to one O(12), one O(3), one O(5), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Hf(1)O6 octahedra and corners with two equivalent Hf(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 21-27°. S(1) is bonded to one O(11), one O(2), one O(6), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent Hf(1)O6 octahedra and corners with two equivalent Hf(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-28°. There are twelve inequivalent O sites. In the first O site, O(7) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(1) atom. In the second O site, O(8) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(2) atom. In the third O site, O(9) is bonded in a bent 150 degrees geometry to one Hf(1) and one S(1) atom. In the fourth O site, O(10) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(1) atom. In the fifth O site, O(11) is bonded in a bent 150 degrees geometry to one Hf(2) and one S(1) atom. In the sixth O site, O(12) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(2) atom. In the seventh O site, O(1) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(1) atom. In the eighth O site, O(2) is bonded in a bent 150 degrees geometry to one Hf(1) and one S(1) atom. In the ninth O site, O(3) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(2) atom. In the tenth O site, O(4) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(1) atom. In the eleventh O site, O(5) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(2) atom. In the twelfth O site, O(6) is bonded in a bent 150 degrees geometry to one Hf(2) and one S(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Hf2P2SO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.883
_cell_length_b   8.893
_cell_length_c   9.196
_cell_angle_alpha   61.230
_cell_angle_beta   61.120
_cell_angle_gamma   60.039
_symmetry_Int_Tables_number   1
_cell_volume   522.789
_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
  Hf  Hf0  1  0.641  0.647  0.068  1.0
  Hf  Hf1  1  0.144  0.147  0.568  1.0
  Hf  Hf2  1  0.343  0.362  0.932  1.0
  Hf  Hf3  1  0.864  0.862  0.432  1.0
  O  O4  1  0.868  0.725  0.912  1.0
  O  O5  1  0.727  0.489  0.907  1.0
  O  O6  1  0.495  0.868  0.912  1.0
  O  O7  1  0.225  0.368  0.412  1.0
  O  O8  1  0.377  0.989  0.407  1.0
  O  O9  1  0.994  0.225  0.412  1.0
  O  O10  1  0.131  0.273  0.089  1.0
  O  O11  1  0.278  0.504  0.087  1.0
  O  O12  1  0.512  0.122  0.093  1.0
  O  O13  1  0.772  0.622  0.593  1.0
  O  O14  1  0.631  0.004  0.587  1.0
  O  O15  1  0.007  0.773  0.589  1.0
  O  O16  1  0.791  0.421  0.219  1.0
  O  O17  1  0.419  0.568  0.220  1.0
  O  O18  1  0.565  0.797  0.226  1.0
  O  O19  1  0.912  0.297  0.726  1.0
  O  O20  1  0.292  0.068  0.720  1.0
  O  O21  1  0.069  0.921  0.719  1.0
  O  O22  1  0.209  0.583  0.776  1.0
  O  O23  1  0.588  0.431  0.777  1.0
  O  O24  1  0.435  0.207  0.780  1.0
  O  O25  1  0.078  0.707  0.280  1.0
  O  O26  1  0.704  0.931  0.277  1.0
  O  O27  1  0.932  0.083  0.276  1.0
  P  P28  1  0.036  0.753  0.751  1.0
  P  P29  1  0.463  0.037  0.750  1.0
  P  P30  1  0.249  0.537  0.250  1.0
  P  P31  1  0.960  0.253  0.251  1.0
  S  S32  1  0.748  0.463  0.750  1.0
  S  S33  1  0.539  0.963  0.250  1.0
[/CIF]
.
The structure described by Hf2P2SO12 crystallizes in the monoclinic Cc space group. There are two inequivalent Hf sites. In the first Hf site, Hf(1) is bonded to one O(1), one O(2), one O(3), one O(7), one O(8), and one O(9) atom to form HfO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. In the second Hf site, Hf(2) is bonded to one O(10), one O(11), one O(12), one O(4), one O(5), and one O(6) atom to form HfO6 octahedra that share corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent S(1)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), one O(4), and one O(7) atom to form PO4 tetrahedra that share corners with two equivalent Hf(1)O6 octahedra and corners with two equivalent Hf(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 23-30°. In the second P site, P(2) is bonded to one O(12), one O(3), one O(5), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Hf(1)O6 octahedra and corners with two equivalent Hf(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 21-27°. S(1) is bonded to one O(11), one O(2), one O(6), and one O(9) atom to form SO4 tetrahedra that share corners with two equivalent Hf(1)O6 octahedra and corners with two equivalent Hf(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-28°. There are twelve inequivalent O sites. In the first O site, O(7) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(1) atom. In the second O site, O(8) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(2) atom. In the third O site, O(9) is bonded in a bent 150 degrees geometry to one Hf(1) and one S(1) atom. In the fourth O site, O(10) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(1) atom. In the fifth O site, O(11) is bonded in a bent 150 degrees geometry to one Hf(2) and one S(1) atom. In the sixth O site, O(12) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(2) atom. In the seventh O site, O(1) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(1) atom. In the eighth O site, O(2) is bonded in a bent 150 degrees geometry to one Hf(1) and one S(1) atom. In the ninth O site, O(3) is bonded in a bent 150 degrees geometry to one Hf(1) and one P(2) atom. In the tenth O site, O(4) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(1) atom. In the eleventh O site, O(5) is bonded in a bent 150 degrees geometry to one Hf(2) and one P(2) atom. In the twelfth O site, O(6) is bonded in a bent 150 degrees geometry to one Hf(2) and one S(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Hf2P2SO12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.883
_cell_length_b   8.893
_cell_length_c   9.196
_cell_angle_alpha   61.230
_cell_angle_beta   61.120
_cell_angle_gamma   60.039
_symmetry_Int_Tables_number   1
_cell_volume   522.789
_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
  Hf  Hf0  1  0.641  0.647  0.068  1.0
  Hf  Hf1  1  0.144  0.147  0.568  1.0
  Hf  Hf2  1  0.343  0.362  0.932  1.0
  Hf  Hf3  1  0.864  0.862  0.432  1.0
  O  O4  1  0.868  0.725  0.912  1.0
  O  O5  1  0.727  0.489  0.907  1.0
  O  O6  1  0.495  0.868  0.912  1.0
  O  O7  1  0.225  0.368  0.412  1.0
  O  O8  1  0.377  0.989  0.407  1.0
  O  O9  1  0.994  0.225  0.412  1.0
  O  O10  1  0.131  0.273  0.089  1.0
  O  O11  1  0.278  0.504  0.087  1.0
  O  O12  1  0.512  0.122  0.093  1.0
  O  O13  1  0.772  0.622  0.593  1.0
  O  O14  1  0.631  0.004  0.587  1.0
  O  O15  1  0.007  0.773  0.589  1.0
  O  O16  1  0.791  0.421  0.219  1.0
  O  O17  1  0.419  0.568  0.220  1.0
  O  O18  1  0.565  0.797  0.226  1.0
  O  O19  1  0.912  0.297  0.726  1.0
  O  O20  1  0.292  0.068  0.720  1.0
  O  O21  1  0.069  0.921  0.719  1.0
  O  O22  1  0.209  0.583  0.776  1.0
  O  O23  1  0.588  0.431  0.777  1.0
  O  O24  1  0.435  0.207  0.780  1.0
  O  O25  1  0.078  0.707  0.280  1.0
  O  O26  1  0.704  0.931  0.277  1.0
  O  O27  1  0.932  0.083  0.276  1.0
  P  P28  1  0.036  0.753  0.751  1.0
  P  P29  1  0.463  0.037  0.750  1.0
  P  P30  1  0.249  0.537  0.250  1.0
  P  P31  1  0.960  0.253  0.251  1.0
  S  S32  1  0.748  0.463  0.750  1.0
  S  S33  1  0.539  0.963  0.250  1.0
[/CIF]
.