The compound described by Co3(PO4)4 crystallizes in the monoclinic P2_1/c space group. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(4), one O(5), one O(7), and one O(8) atom to form CoO5 trigonal bipyramids that share corners with two equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second Co site, Co(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent P(2)O4 tetrahedra and corners with four equivalent P(1)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(2), one O(3), one O(4), and one O(6) atom to form PO4 tetrahedra that share corners with two equivalent Co(2)O6 octahedra and corners with two equivalent Co(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 25-45°. In the second P site, P(2) is bonded to one O(1), one O(5), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra and corners with three equivalent Co(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Co(2) and one P(2) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom. In the third O site, O(3) is bonded in a distorted bent 150 degrees geometry to one Co(2) and one P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Co(1) and one P(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one Co(2) and one P(1) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one Co(1) and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 120 degrees geometry to one Co(1) and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Co3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.089
_cell_length_b   8.427
_cell_length_c   15.544
_cell_angle_alpha   66.847
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   612.911
_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
  Co  Co0  1  0.412  0.186  0.300  1.0
  Co  Co1  1  0.088  0.186  0.800  1.0
  Co  Co2  1  0.912  0.814  0.200  1.0
  Co  Co3  1  0.588  0.814  0.700  1.0
  Co  Co4  1  0.500  0.500  0.000  1.0
  Co  Co5  1  0.000  0.500  0.500  1.0
  P  P6  1  0.510  0.474  0.646  1.0
  P  P7  1  0.049  0.080  0.616  1.0
  P  P8  1  0.990  0.474  0.146  1.0
  P  P9  1  0.549  0.920  0.884  1.0
  P  P10  1  0.951  0.920  0.384  1.0
  P  P11  1  0.010  0.526  0.854  1.0
  P  P12  1  0.490  0.526  0.354  1.0
  P  P13  1  0.451  0.080  0.116  1.0
  O  O14  1  0.037  0.252  0.530  1.0
  O  O15  1  0.524  0.358  0.336  1.0
  O  O16  1  0.204  0.547  0.378  1.0
  O  O17  1  0.704  0.453  0.122  1.0
  O  O18  1  0.024  0.642  0.164  1.0
  O  O19  1  0.590  0.682  0.269  1.0
  O  O20  1  0.976  0.358  0.836  1.0
  O  O21  1  0.991  0.891  0.292  1.0
  O  O22  1  0.832  0.508  0.938  1.0
  O  O23  1  0.963  0.748  0.470  1.0
  O  O24  1  0.668  0.508  0.438  1.0
  O  O25  1  0.803  0.018  0.884  1.0
  O  O26  1  0.179  0.034  0.394  1.0
  O  O27  1  0.796  0.453  0.622  1.0
  O  O28  1  0.303  0.982  0.616  1.0
  O  O29  1  0.463  0.252  0.030  1.0
  O  O30  1  0.168  0.492  0.062  1.0
  O  O31  1  0.090  0.318  0.231  1.0
  O  O32  1  0.537  0.748  0.970  1.0
  O  O33  1  0.821  0.966  0.606  1.0
  O  O34  1  0.009  0.109  0.708  1.0
  O  O35  1  0.476  0.642  0.664  1.0
  O  O36  1  0.910  0.682  0.769  1.0
  O  O37  1  0.509  0.891  0.792  1.0
  O  O38  1  0.296  0.547  0.878  1.0
  O  O39  1  0.332  0.492  0.562  1.0
  O  O40  1  0.491  0.109  0.208  1.0
  O  O41  1  0.197  0.982  0.116  1.0
  O  O42  1  0.321  0.034  0.894  1.0
  O  O43  1  0.410  0.318  0.731  1.0
  O  O44  1  0.697  0.018  0.384  1.0
  O  O45  1  0.679  0.966  0.106  1.0
[/CIF]
.
The compound described by Co3(PO4)4 crystallizes in the monoclinic P2_1/c space group. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(2), one O(4), one O(5), one O(7), and one O(8) atom to form CoO5 trigonal bipyramids that share corners with two equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second Co site, Co(2) is bonded to two equivalent O(1), two equivalent O(3), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent P(2)O4 tetrahedra and corners with four equivalent P(1)O4 tetrahedra. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(2), one O(3), one O(4), and one O(6) atom to form PO4 tetrahedra that share corners with two equivalent Co(2)O6 octahedra and corners with two equivalent Co(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles range from 25-45°. In the second P site, P(2) is bonded to one O(1), one O(5), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra and corners with three equivalent Co(1)O5 trigonal bipyramids. The corner-sharing octahedral tilt angles are 40°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one Co(2) and one P(2) atom. In the second O site, O(2) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom. In the third O site, O(3) is bonded in a distorted bent 150 degrees geometry to one Co(2) and one P(1) atom. In the fourth O site, O(4) is bonded in a bent 150 degrees geometry to one Co(1) and one P(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one Co(1) and one P(2) atom. In the sixth O site, O(6) is bonded in a bent 150 degrees geometry to one Co(2) and one P(1) atom. In the seventh O site, O(7) is bonded in a bent 150 degrees geometry to one Co(1) and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 120 degrees geometry to one Co(1) and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Co3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.089
_cell_length_b   8.427
_cell_length_c   15.544
_cell_angle_alpha   66.847
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   612.911
_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
  Co  Co0  1  0.412  0.186  0.300  1.0
  Co  Co1  1  0.088  0.186  0.800  1.0
  Co  Co2  1  0.912  0.814  0.200  1.0
  Co  Co3  1  0.588  0.814  0.700  1.0
  Co  Co4  1  0.500  0.500  0.000  1.0
  Co  Co5  1  0.000  0.500  0.500  1.0
  P  P6  1  0.510  0.474  0.646  1.0
  P  P7  1  0.049  0.080  0.616  1.0
  P  P8  1  0.990  0.474  0.146  1.0
  P  P9  1  0.549  0.920  0.884  1.0
  P  P10  1  0.951  0.920  0.384  1.0
  P  P11  1  0.010  0.526  0.854  1.0
  P  P12  1  0.490  0.526  0.354  1.0
  P  P13  1  0.451  0.080  0.116  1.0
  O  O14  1  0.037  0.252  0.530  1.0
  O  O15  1  0.524  0.358  0.336  1.0
  O  O16  1  0.204  0.547  0.378  1.0
  O  O17  1  0.704  0.453  0.122  1.0
  O  O18  1  0.024  0.642  0.164  1.0
  O  O19  1  0.590  0.682  0.269  1.0
  O  O20  1  0.976  0.358  0.836  1.0
  O  O21  1  0.991  0.891  0.292  1.0
  O  O22  1  0.832  0.508  0.938  1.0
  O  O23  1  0.963  0.748  0.470  1.0
  O  O24  1  0.668  0.508  0.438  1.0
  O  O25  1  0.803  0.018  0.884  1.0
  O  O26  1  0.179  0.034  0.394  1.0
  O  O27  1  0.796  0.453  0.622  1.0
  O  O28  1  0.303  0.982  0.616  1.0
  O  O29  1  0.463  0.252  0.030  1.0
  O  O30  1  0.168  0.492  0.062  1.0
  O  O31  1  0.090  0.318  0.231  1.0
  O  O32  1  0.537  0.748  0.970  1.0
  O  O33  1  0.821  0.966  0.606  1.0
  O  O34  1  0.009  0.109  0.708  1.0
  O  O35  1  0.476  0.642  0.664  1.0
  O  O36  1  0.910  0.682  0.769  1.0
  O  O37  1  0.509  0.891  0.792  1.0
  O  O38  1  0.296  0.547  0.878  1.0
  O  O39  1  0.332  0.492  0.562  1.0
  O  O40  1  0.491  0.109  0.208  1.0
  O  O41  1  0.197  0.982  0.116  1.0
  O  O42  1  0.321  0.034  0.894  1.0
  O  O43  1  0.410  0.318  0.731  1.0
  O  O44  1  0.697  0.018  0.384  1.0
  O  O45  1  0.679  0.966  0.106  1.0
[/CIF]
.