The structure described by Li4V3Cr2Co(PO4)6 crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded in a 4-coordinate geometry to one O(10), one O(14), one O(20), one O(24), one O(4), and one O(8) atom. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(15), one O(21), and one O(5) atom. In the third Li site, Li(3) is bonded in a 5-coordinate geometry to one O(13), one O(18), one O(19), one O(2), and one O(21) atom. In the fourth Li site, Li(4) is bonded in a 4-coordinate geometry to one O(11), one O(16), one O(17), and one O(18) atom. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(10), one O(22), one O(23), one O(24), one O(6), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(2)O6 octahedra. In the second V site, V(2) is bonded to one O(12), one O(14), one O(20), one O(4), one O(7), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. In the third V site, V(3) is bonded to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom to form distorted VO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(2)O6 octahedra. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 6-coordinate geometry to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom. In the second Cr site, Cr(2) is bonded to one O(10), one O(15), one O(17), one O(19), one O(6), and one O(8) atom to form distorted CrO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a faceface with one V(1)O6 octahedra, and  a faceface with one V(3)O6 octahedra. Co(1) is bonded in a 6-coordinate geometry to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom. There are six inequivalent P sites. In the first P site, P(1) is bonded to one O(3), one O(4), one O(5), and one O(6) 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 32-47°. In the second P site, P(2) is bonded to one O(1), one O(13), 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 35-46°. In the third P site, P(3) is bonded to one O(10), one O(14), one O(16), and one O(2) 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 37-50°. In the fourth P site, P(4) is bonded to one O(11), one O(15), one O(23), and one O(9) 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 28-48°. In the fifth P site, P(5) is bonded to one O(12), one O(17), one O(18), and one O(24) 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 16-51°. In the sixth P site, P(6) is bonded to one O(19), one O(20), one O(21), and one O(22) 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 17-48°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Li(2), one V(3), and one P(2) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(3), one V(3), and one P(3) atom. In the third O site, O(3) is bonded in a distorted bent 150 degrees geometry to one V(3) and one P(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(1), one V(2), one Cr(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Li(2), one Co(1), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one V(1), one Cr(2), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one V(2), one Cr(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(1), one V(1), one Cr(2), and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one V(2) and one P(4) atom. In the tenth O site, O(10) is bonded to one Li(1), one V(1), one Cr(2), and one P(3) atom to form distorted corner-sharing OLiVCrP trigonal pyramids. In the eleventh O site, O(11) is bonded to one Li(2), one Li(4), one Cr(1), one Co(1), and one P(4) atom to form distorted corner-sharing OLi2CrCoP trigonal bipyramids. In the twelfth O site, O(12) is bonded in a linear geometry to one V(2) and one P(5) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Li(3), one Co(1), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(2), one Cr(1), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(2), one V(3), one Cr(2), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Li(4), one Co(1), and one P(3) atom. In the seventeenth O site, O(17) is bonded to one Li(4), one V(3), one Cr(2), and one P(5) atom to form distorted OLiVCrP trigonal pyramids that share  a cornercorner with one O(11)Li2CrCoP trigonal bipyramid and  a cornercorner with one O(10)LiVCrP trigonal pyramid. In the eighteenth O site, O(18) is bonded in a 5-coordinate geometry to one Li(3), one Li(4), one Cr(1), one Co(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(3), one Cr(2), and one P(6) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one Li(1), one V(2), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 5-coordinate geometry to one Li(2), one Li(3), one Cr(1), one Co(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a linear geometry to one V(1) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one V(1) and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a 3-coordinate geometry to one Li(1), one V(1), and one P(5) atom. is represented by the CIF card [CIF]
data_Li4V3Cr2Co(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.476
_cell_length_b   8.918
_cell_length_c   9.001
_cell_angle_alpha   59.803
_cell_angle_beta   60.222
_cell_angle_gamma   58.561
_symmetry_Int_Tables_number   1
_cell_volume   475.721
_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
  Li  Li0  1  0.247  0.860  0.643  1.0
  Li  Li1  1  0.746  0.152  0.338  1.0
  Li  Li2  1  0.732  0.768  0.152  1.0
  Li  Li3  1  0.733  0.347  0.773  1.0
  V  V4  1  0.069  0.644  0.646  1.0
  V  V5  1  0.436  0.854  0.855  1.0
  V  V6  1  0.944  0.352  0.350  1.0
  Cr  Cr7  1  0.003  0.996  0.006  1.0
  Cr  Cr8  1  0.500  0.497  0.497  1.0
  Co  Co9  1  0.543  0.152  0.155  1.0
  P  P10  1  0.264  0.253  0.549  1.0
  P  P11  1  0.251  0.943  0.245  1.0
  P  P12  1  0.242  0.560  0.950  1.0
  P  P13  1  0.760  0.452  0.036  1.0
  P  P14  1  0.764  0.040  0.749  1.0
  P  P15  1  0.727  0.751  0.465  1.0
  O  O16  1  0.062  0.098  0.303  1.0
  O  O17  1  0.056  0.538  0.101  1.0
  O  O18  1  0.077  0.312  0.516  1.0
  O  O19  1  0.253  0.090  0.735  1.0
  O  O20  1  0.454  0.200  0.396  1.0
  O  O21  1  0.271  0.412  0.575  1.0
  O  O22  1  0.236  0.921  0.091  1.0
  O  O23  1  0.270  0.754  0.411  1.0
  O  O24  1  0.575  0.605  0.992  1.0
  O  O25  1  0.262  0.588  0.755  1.0
  O  O26  1  0.783  0.257  0.052  1.0
  O  O27  1  0.598  0.979  0.814  1.0
  O  O28  1  0.440  0.973  0.184  1.0
  O  O29  1  0.225  0.760  0.920  1.0
  O  O30  1  0.736  0.429  0.229  1.0
  O  O31  1  0.433  0.400  0.980  1.0
  O  O32  1  0.727  0.239  0.601  1.0
  O  O33  1  0.782  0.059  0.904  1.0
  O  O34  1  0.716  0.596  0.434  1.0
  O  O35  1  0.533  0.810  0.612  1.0
  O  O36  1  0.752  0.906  0.275  1.0
  O  O37  1  0.899  0.684  0.524  1.0
  O  O38  1  0.941  0.495  0.889  1.0
  O  O39  1  0.961  0.897  0.675  1.0
[/CIF]
.
The structure described by Li4V3Cr2Co(PO4)6 crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded in a 4-coordinate geometry to one O(10), one O(14), one O(20), one O(24), one O(4), and one O(8) atom. In the second Li site, Li(2) is bonded in a 5-coordinate geometry to one O(1), one O(11), one O(15), one O(21), and one O(5) atom. In the third Li site, Li(3) is bonded in a 5-coordinate geometry to one O(13), one O(18), one O(19), one O(2), and one O(21) atom. In the fourth Li site, Li(4) is bonded in a 4-coordinate geometry to one O(11), one O(16), one O(17), and one O(18) atom. There are three inequivalent V sites. In the first V site, V(1) is bonded to one O(10), one O(22), one O(23), one O(24), one O(6), and one O(8) atom to form VO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(2)O6 octahedra. In the second V site, V(2) is bonded to one O(12), one O(14), one O(20), one O(4), one O(7), and one O(9) atom to form VO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra, and  a cornercorner with one P(6)O4 tetrahedra. In the third V site, V(3) is bonded to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom to form distorted VO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra, and  a faceface with one Cr(2)O6 octahedra. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded in a 6-coordinate geometry to one O(11), one O(14), one O(18), one O(21), one O(4), and one O(7) atom. In the second Cr site, Cr(2) is bonded to one O(10), one O(15), one O(17), one O(19), one O(6), and one O(8) atom to form distorted CrO6 octahedra that share  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  a cornercorner with one P(5)O4 tetrahedra,  a cornercorner with one P(6)O4 tetrahedra,  a faceface with one V(1)O6 octahedra, and  a faceface with one V(3)O6 octahedra. Co(1) is bonded in a 6-coordinate geometry to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom. There are six inequivalent P sites. In the first P site, P(1) is bonded to one O(3), one O(4), one O(5), and one O(6) 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 32-47°. In the second P site, P(2) is bonded to one O(1), one O(13), 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 35-46°. In the third P site, P(3) is bonded to one O(10), one O(14), one O(16), and one O(2) 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 37-50°. In the fourth P site, P(4) is bonded to one O(11), one O(15), one O(23), and one O(9) 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 28-48°. In the fifth P site, P(5) is bonded to one O(12), one O(17), one O(18), and one O(24) 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 16-51°. In the sixth P site, P(6) is bonded to one O(19), one O(20), one O(21), and one O(22) 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 17-48°. There are twenty-four inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Li(2), one V(3), and one P(2) atom. In the second O site, O(2) is bonded in a 3-coordinate geometry to one Li(3), one V(3), and one P(3) atom. In the third O site, O(3) is bonded in a distorted bent 150 degrees geometry to one V(3) and one P(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(1), one V(2), one Cr(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a 3-coordinate geometry to one Li(2), one Co(1), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one V(1), one Cr(2), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one V(2), one Cr(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(1), one V(1), one Cr(2), and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one V(2) and one P(4) atom. In the tenth O site, O(10) is bonded to one Li(1), one V(1), one Cr(2), and one P(3) atom to form distorted corner-sharing OLiVCrP trigonal pyramids. In the eleventh O site, O(11) is bonded to one Li(2), one Li(4), one Cr(1), one Co(1), and one P(4) atom to form distorted corner-sharing OLi2CrCoP trigonal bipyramids. In the twelfth O site, O(12) is bonded in a linear geometry to one V(2) and one P(5) atom. In the thirteenth O site, O(13) is bonded in a 3-coordinate geometry to one Li(3), one Co(1), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(1), one V(2), one Cr(1), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(2), one V(3), one Cr(2), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a 3-coordinate geometry to one Li(4), one Co(1), and one P(3) atom. In the seventeenth O site, O(17) is bonded to one Li(4), one V(3), one Cr(2), and one P(5) atom to form distorted OLiVCrP trigonal pyramids that share  a cornercorner with one O(11)Li2CrCoP trigonal bipyramid and  a cornercorner with one O(10)LiVCrP trigonal pyramid. In the eighteenth O site, O(18) is bonded in a 5-coordinate geometry to one Li(3), one Li(4), one Cr(1), one Co(1), and one P(5) atom. In the nineteenth O site, O(19) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one V(3), one Cr(2), and one P(6) atom. In the twentieth O site, O(20) is bonded in a 3-coordinate geometry to one Li(1), one V(2), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a 5-coordinate geometry to one Li(2), one Li(3), one Cr(1), one Co(1), and one P(6) atom. In the twenty-second O site, O(22) is bonded in a linear geometry to one V(1) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one V(1) and one P(4) atom. In the twenty-fourth O site, O(24) is bonded in a 3-coordinate geometry to one Li(1), one V(1), and one P(5) atom. is represented by the CIF card [CIF]
data_Li4V3Cr2Co(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.476
_cell_length_b   8.918
_cell_length_c   9.001
_cell_angle_alpha   59.803
_cell_angle_beta   60.222
_cell_angle_gamma   58.561
_symmetry_Int_Tables_number   1
_cell_volume   475.721
_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
  Li  Li0  1  0.247  0.860  0.643  1.0
  Li  Li1  1  0.746  0.152  0.338  1.0
  Li  Li2  1  0.732  0.768  0.152  1.0
  Li  Li3  1  0.733  0.347  0.773  1.0
  V  V4  1  0.069  0.644  0.646  1.0
  V  V5  1  0.436  0.854  0.855  1.0
  V  V6  1  0.944  0.352  0.350  1.0
  Cr  Cr7  1  0.003  0.996  0.006  1.0
  Cr  Cr8  1  0.500  0.497  0.497  1.0
  Co  Co9  1  0.543  0.152  0.155  1.0
  P  P10  1  0.264  0.253  0.549  1.0
  P  P11  1  0.251  0.943  0.245  1.0
  P  P12  1  0.242  0.560  0.950  1.0
  P  P13  1  0.760  0.452  0.036  1.0
  P  P14  1  0.764  0.040  0.749  1.0
  P  P15  1  0.727  0.751  0.465  1.0
  O  O16  1  0.062  0.098  0.303  1.0
  O  O17  1  0.056  0.538  0.101  1.0
  O  O18  1  0.077  0.312  0.516  1.0
  O  O19  1  0.253  0.090  0.735  1.0
  O  O20  1  0.454  0.200  0.396  1.0
  O  O21  1  0.271  0.412  0.575  1.0
  O  O22  1  0.236  0.921  0.091  1.0
  O  O23  1  0.270  0.754  0.411  1.0
  O  O24  1  0.575  0.605  0.992  1.0
  O  O25  1  0.262  0.588  0.755  1.0
  O  O26  1  0.783  0.257  0.052  1.0
  O  O27  1  0.598  0.979  0.814  1.0
  O  O28  1  0.440  0.973  0.184  1.0
  O  O29  1  0.225  0.760  0.920  1.0
  O  O30  1  0.736  0.429  0.229  1.0
  O  O31  1  0.433  0.400  0.980  1.0
  O  O32  1  0.727  0.239  0.601  1.0
  O  O33  1  0.782  0.059  0.904  1.0
  O  O34  1  0.716  0.596  0.434  1.0
  O  O35  1  0.533  0.810  0.612  1.0
  O  O36  1  0.752  0.906  0.275  1.0
  O  O37  1  0.899  0.684  0.524  1.0
  O  O38  1  0.941  0.495  0.889  1.0
  O  O39  1  0.961  0.897  0.675  1.0
[/CIF]
.