The compound described by Li4Cr2(PO4)3 crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(3), one O(4), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 63-70°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(5), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-69°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(3), and one O(8) atom to form LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-65°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(11), one O(6), and one O(8) atom. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Li(1)O4 tetrahedra,  an edgeedge with one Li(2)O4 tetrahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. In the second Cr site, Cr(2) is bonded to one O(10), one O(11), one O(12), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and  a cornercorner with one Li(3)O4 trigonal pyramid. There are three 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 corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, and  a cornercorner with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 26-53°. In the second P site, P(2) is bonded to one O(1), one O(12), one O(7), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra, and corners with two equivalent Li(3)O4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 25-51°. In the third P site, P(3) is bonded to one O(10), one O(11), one O(2), and one O(9) atom to form PO4 tetrahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, and  a cornercorner with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 20-61°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Cr(1), and one P(2) atom to form corner-sharing OLi2CrP tetrahedra. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Cr(1), and one P(3) atom to form distorted corner-sharing OLi2CrP tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Cr(1), and one P(1) atom to form distorted corner-sharing OLi2CrP tetrahedra. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Li(1), one Cr(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Li(2), one Cr(2), and one P(1) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Li(4), one Cr(2), and one P(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Li(1), one Cr(2), and one P(2) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(3), one Li(4), one Cr(1), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Li(2), one Cr(1), and one P(3) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(3), one Li(4), one Cr(2), and one P(3) atom. In the twelfth O site, O(12) is bonded in a distorted bent 150 degrees geometry to one Cr(2) and one P(2) atom. is represented by the CIF file [CIF]
data_Li4Cr2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.183
_cell_length_b   8.512
_cell_length_c   8.314
_cell_angle_alpha   61.205
_cell_angle_beta   63.791
_cell_angle_gamma   61.812
_symmetry_Int_Tables_number   1
_cell_volume   482.289
_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
  Li  Li0  1  0.153  0.665  0.273  1.0
  Li  Li1  1  0.136  0.275  0.920  1.0
  Li  Li2  1  0.103  0.935  0.686  1.0
  Li  Li3  1  0.582  0.218  0.463  1.0
  Li  Li4  1  0.418  0.782  0.537  1.0
  Li  Li5  1  0.897  0.065  0.314  1.0
  Li  Li6  1  0.864  0.725  0.080  1.0
  Li  Li7  1  0.847  0.335  0.727  1.0
  Cr  Cr8  1  0.037  0.648  0.661  1.0
  Cr  Cr9  1  0.560  0.150  0.144  1.0
  Cr  Cr10  1  0.440  0.850  0.856  1.0
  Cr  Cr11  1  0.963  0.352  0.339  1.0
  P  P12  1  0.243  0.243  0.550  1.0
  P  P13  1  0.260  0.963  0.243  1.0
  P  P14  1  0.253  0.549  0.952  1.0
  P  P15  1  0.747  0.451  0.048  1.0
  P  P16  1  0.740  0.037  0.757  1.0
  P  P17  1  0.757  0.757  0.450  1.0
  O  O18  1  0.102  0.149  0.201  1.0
  O  O19  1  0.101  0.587  0.128  1.0
  O  O20  1  0.095  0.203  0.547  1.0
  O  O21  1  0.193  0.455  0.513  1.0
  O  O22  1  0.271  0.118  0.752  1.0
  O  O23  1  0.415  0.185  0.402  1.0
  O  O24  1  0.281  0.853  0.124  1.0
  O  O25  1  0.218  0.843  0.459  1.0
  O  O26  1  0.199  0.501  0.834  1.0
  O  O27  1  0.586  0.606  0.992  1.0
  O  O28  1  0.707  0.256  0.178  1.0
  O  O29  1  0.576  0.998  0.810  1.0
  O  O30  1  0.424  0.002  0.190  1.0
  O  O31  1  0.293  0.744  0.822  1.0
  O  O32  1  0.414  0.394  0.008  1.0
  O  O33  1  0.801  0.499  0.166  1.0
  O  O34  1  0.782  0.157  0.541  1.0
  O  O35  1  0.719  0.147  0.876  1.0
  O  O36  1  0.585  0.815  0.598  1.0
  O  O37  1  0.729  0.882  0.248  1.0
  O  O38  1  0.807  0.545  0.487  1.0
  O  O39  1  0.905  0.797  0.453  1.0
  O  O40  1  0.899  0.413  0.872  1.0
  O  O41  1  0.898  0.851  0.799  1.0
[/CIF]
.
The compound described by Li4Cr2(PO4)3 crystallizes in the triclinic P-1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(3), one O(4), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 63-70°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(5), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-69°. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(3), and one O(8) atom to form LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and  an edgeedge with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-65°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(11), one O(6), and one O(8) atom. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(1), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Li(1)O4 tetrahedra,  an edgeedge with one Li(2)O4 tetrahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. In the second Cr site, Cr(2) is bonded to one O(10), one O(11), one O(12), one O(5), one O(6), and one O(7) atom to form CrO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, and  a cornercorner with one Li(3)O4 trigonal pyramid. There are three 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 corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra, and  a cornercorner with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 26-53°. In the second P site, P(2) is bonded to one O(1), one O(12), one O(7), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 tetrahedra, and corners with two equivalent Li(3)O4 trigonal pyramids. The corner-sharing octahedral tilt angles range from 25-51°. In the third P site, P(3) is bonded to one O(10), one O(11), one O(2), and one O(9) atom to form PO4 tetrahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(2)O4 tetrahedra, and  a cornercorner with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 20-61°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(2), one Li(3), one Cr(1), and one P(2) atom to form corner-sharing OLi2CrP tetrahedra. In the second O site, O(2) is bonded to one Li(1), one Li(2), one Cr(1), and one P(3) atom to form distorted corner-sharing OLi2CrP tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Li(3), one Cr(1), and one P(1) atom to form distorted corner-sharing OLi2CrP tetrahedra. In the fourth O site, O(4) is bonded in a 3-coordinate geometry to one Li(1), one Cr(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted trigonal planar geometry to one Li(2), one Cr(2), and one P(1) atom. In the sixth O site, O(6) is bonded in a distorted T-shaped geometry to one Li(4), one Cr(2), and one P(1) atom. In the seventh O site, O(7) is bonded in a trigonal planar geometry to one Li(1), one Cr(2), and one P(2) atom. In the eighth O site, O(8) is bonded in a 4-coordinate geometry to one Li(3), one Li(4), one Cr(1), and one P(2) atom. In the ninth O site, O(9) is bonded in a distorted T-shaped geometry to one Li(2), one Cr(1), and one P(3) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Cr(2) and one P(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(3), one Li(4), one Cr(2), and one P(3) atom. In the twelfth O site, O(12) is bonded in a distorted bent 150 degrees geometry to one Cr(2) and one P(2) atom. is represented by the CIF file [CIF]
data_Li4Cr2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.183
_cell_length_b   8.512
_cell_length_c   8.314
_cell_angle_alpha   61.205
_cell_angle_beta   63.791
_cell_angle_gamma   61.812
_symmetry_Int_Tables_number   1
_cell_volume   482.289
_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
  Li  Li0  1  0.153  0.665  0.273  1.0
  Li  Li1  1  0.136  0.275  0.920  1.0
  Li  Li2  1  0.103  0.935  0.686  1.0
  Li  Li3  1  0.582  0.218  0.463  1.0
  Li  Li4  1  0.418  0.782  0.537  1.0
  Li  Li5  1  0.897  0.065  0.314  1.0
  Li  Li6  1  0.864  0.725  0.080  1.0
  Li  Li7  1  0.847  0.335  0.727  1.0
  Cr  Cr8  1  0.037  0.648  0.661  1.0
  Cr  Cr9  1  0.560  0.150  0.144  1.0
  Cr  Cr10  1  0.440  0.850  0.856  1.0
  Cr  Cr11  1  0.963  0.352  0.339  1.0
  P  P12  1  0.243  0.243  0.550  1.0
  P  P13  1  0.260  0.963  0.243  1.0
  P  P14  1  0.253  0.549  0.952  1.0
  P  P15  1  0.747  0.451  0.048  1.0
  P  P16  1  0.740  0.037  0.757  1.0
  P  P17  1  0.757  0.757  0.450  1.0
  O  O18  1  0.102  0.149  0.201  1.0
  O  O19  1  0.101  0.587  0.128  1.0
  O  O20  1  0.095  0.203  0.547  1.0
  O  O21  1  0.193  0.455  0.513  1.0
  O  O22  1  0.271  0.118  0.752  1.0
  O  O23  1  0.415  0.185  0.402  1.0
  O  O24  1  0.281  0.853  0.124  1.0
  O  O25  1  0.218  0.843  0.459  1.0
  O  O26  1  0.199  0.501  0.834  1.0
  O  O27  1  0.586  0.606  0.992  1.0
  O  O28  1  0.707  0.256  0.178  1.0
  O  O29  1  0.576  0.998  0.810  1.0
  O  O30  1  0.424  0.002  0.190  1.0
  O  O31  1  0.293  0.744  0.822  1.0
  O  O32  1  0.414  0.394  0.008  1.0
  O  O33  1  0.801  0.499  0.166  1.0
  O  O34  1  0.782  0.157  0.541  1.0
  O  O35  1  0.719  0.147  0.876  1.0
  O  O36  1  0.585  0.815  0.598  1.0
  O  O37  1  0.729  0.882  0.248  1.0
  O  O38  1  0.807  0.545  0.487  1.0
  O  O39  1  0.905  0.797  0.453  1.0
  O  O40  1  0.899  0.413  0.872  1.0
  O  O41  1  0.898  0.851  0.799  1.0
[/CIF]
.