The material structure described by VCr(PO4)2 crystallizes in the trigonal R3 space group. There are three inequivalent V sites. In the first V site, V(1) is bonded to three equivalent O(4) and three equivalent O(8) atoms to form VO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second V site, V(2) is bonded to three equivalent O(2) and three equivalent O(5) atoms to form VO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third V site, V(3) is bonded to three equivalent O(1) and three equivalent O(7) atoms to form VO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(6) atoms. In the second Cr site, Cr(2) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third Cr site, Cr(3) is bonded in a 6-coordinate geometry to three equivalent O(4) and three equivalent O(7) atoms. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra, and  a cornercorner with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-48°. In the second P site, P(2) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra, and  a cornercorner with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-49°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one V(3) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one V(2), one Cr(1), and one P(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one V(1), one Cr(3), and one P(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one V(2) and one P(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Cr(1), one Cr(2), and one P(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one V(3), one Cr(3), and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one V(1) and one P(2) atom. is represented by the CIF file [CIF]
data_VCr(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.561
_cell_length_b   8.561
_cell_length_c   8.561
_cell_angle_alpha   60.344
_cell_angle_beta   60.344
_cell_angle_gamma   60.344
_symmetry_Int_Tables_number   1
_cell_volume   447.086
_cell_formula_units_Z   3
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
  V  V0  1  0.356  0.356  0.356  1.0
  V  V1  1  0.143  0.143  0.143  1.0
  V  V2  1  0.643  0.643  0.643  1.0
  Cr  Cr3  1  1.000  1.000  1.000  1.0
  Cr  Cr4  1  0.857  0.857  0.857  1.0
  Cr  Cr5  1  0.499  0.499  0.499  1.0
  P  P6  1  0.750  0.043  0.458  1.0
  P  P7  1  0.043  0.458  0.750  1.0
  P  P8  1  0.458  0.750  0.043  1.0
  P  P9  1  0.544  0.250  0.957  1.0
  P  P10  1  0.957  0.544  0.250  1.0
  P  P11  1  0.250  0.957  0.544  1.0
  O  O12  1  0.884  0.494  0.689  1.0
  O  O13  1  0.494  0.689  0.884  1.0
  O  O14  1  0.689  0.884  0.494  1.0
  O  O15  1  0.912  0.059  0.258  1.0
  O  O16  1  0.810  0.009  0.615  1.0
  O  O17  1  0.586  0.241  0.439  1.0
  O  O18  1  0.059  0.258  0.912  1.0
  O  O19  1  0.241  0.439  0.586  1.0
  O  O20  1  0.386  0.189  0.993  1.0
  O  O21  1  0.439  0.586  0.241  1.0
  O  O22  1  0.742  0.088  0.943  1.0
  O  O23  1  0.993  0.386  0.189  1.0
  O  O24  1  0.009  0.615  0.810  1.0
  O  O25  1  0.258  0.912  0.059  1.0
  O  O26  1  0.561  0.413  0.758  1.0
  O  O27  1  0.615  0.810  0.009  1.0
  O  O28  1  0.758  0.561  0.413  1.0
  O  O29  1  0.943  0.742  0.088  1.0
  O  O30  1  0.413  0.758  0.561  1.0
  O  O31  1  0.189  0.993  0.386  1.0
  O  O32  1  0.088  0.943  0.742  1.0
  O  O33  1  0.314  0.114  0.504  1.0
  O  O34  1  0.504  0.314  0.114  1.0
  O  O35  1  0.114  0.504  0.314  1.0
[/CIF]
.
The material structure described by VCr(PO4)2 crystallizes in the trigonal R3 space group. There are three inequivalent V sites. In the first V site, V(1) is bonded to three equivalent O(4) and three equivalent O(8) atoms to form VO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the second V site, V(2) is bonded to three equivalent O(2) and three equivalent O(5) atoms to form VO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third V site, V(3) is bonded to three equivalent O(1) and three equivalent O(7) atoms to form VO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 6-coordinate geometry to three equivalent O(2) and three equivalent O(6) atoms. In the second Cr site, Cr(2) is bonded to three equivalent O(3) and three equivalent O(6) atoms to form CrO6 octahedra that share corners with three equivalent P(1)O4 tetrahedra and corners with three equivalent P(2)O4 tetrahedra. In the third Cr site, Cr(3) is bonded in a 6-coordinate geometry to three equivalent O(4) and three equivalent O(7) atoms. There are two inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra, and  a cornercorner with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-48°. In the second P site, P(2) is bonded to one O(5), one O(6), one O(7), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one V(1)O6 octahedra,  a cornercorner with one V(2)O6 octahedra,  a cornercorner with one V(3)O6 octahedra, and  a cornercorner with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-49°. There are eight inequivalent O sites. In the first O site, O(1) is bonded in a bent 150 degrees geometry to one V(3) and one P(1) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one V(2), one Cr(1), and one P(1) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(1) atom. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one V(1), one Cr(3), and one P(1) atom. In the fifth O site, O(5) is bonded in a bent 150 degrees geometry to one V(2) and one P(2) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Cr(1), one Cr(2), and one P(2) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one V(3), one Cr(3), and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one V(1) and one P(2) atom. is represented by the CIF file [CIF]
data_VCr(PO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.561
_cell_length_b   8.561
_cell_length_c   8.561
_cell_angle_alpha   60.344
_cell_angle_beta   60.344
_cell_angle_gamma   60.344
_symmetry_Int_Tables_number   1
_cell_volume   447.086
_cell_formula_units_Z   3
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
  V  V0  1  0.356  0.356  0.356  1.0
  V  V1  1  0.143  0.143  0.143  1.0
  V  V2  1  0.643  0.643  0.643  1.0
  Cr  Cr3  1  1.000  1.000  1.000  1.0
  Cr  Cr4  1  0.857  0.857  0.857  1.0
  Cr  Cr5  1  0.499  0.499  0.499  1.0
  P  P6  1  0.750  0.043  0.458  1.0
  P  P7  1  0.043  0.458  0.750  1.0
  P  P8  1  0.458  0.750  0.043  1.0
  P  P9  1  0.544  0.250  0.957  1.0
  P  P10  1  0.957  0.544  0.250  1.0
  P  P11  1  0.250  0.957  0.544  1.0
  O  O12  1  0.884  0.494  0.689  1.0
  O  O13  1  0.494  0.689  0.884  1.0
  O  O14  1  0.689  0.884  0.494  1.0
  O  O15  1  0.912  0.059  0.258  1.0
  O  O16  1  0.810  0.009  0.615  1.0
  O  O17  1  0.586  0.241  0.439  1.0
  O  O18  1  0.059  0.258  0.912  1.0
  O  O19  1  0.241  0.439  0.586  1.0
  O  O20  1  0.386  0.189  0.993  1.0
  O  O21  1  0.439  0.586  0.241  1.0
  O  O22  1  0.742  0.088  0.943  1.0
  O  O23  1  0.993  0.386  0.189  1.0
  O  O24  1  0.009  0.615  0.810  1.0
  O  O25  1  0.258  0.912  0.059  1.0
  O  O26  1  0.561  0.413  0.758  1.0
  O  O27  1  0.615  0.810  0.009  1.0
  O  O28  1  0.758  0.561  0.413  1.0
  O  O29  1  0.943  0.742  0.088  1.0
  O  O30  1  0.413  0.758  0.561  1.0
  O  O31  1  0.189  0.993  0.386  1.0
  O  O32  1  0.088  0.943  0.742  1.0
  O  O33  1  0.314  0.114  0.504  1.0
  O  O34  1  0.504  0.314  0.114  1.0
  O  O35  1  0.114  0.504  0.314  1.0
[/CIF]
.