The compound described by Li4CoNi3(PO4)4 is Spinel-derived structured and crystallizes in the monoclinic Pm space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(2), and one O(3) atom to form LiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one P(1)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-67°. Co(1) is bonded to one O(1), one O(9), two equivalent O(11), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-67°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(12), one O(4), two equivalent O(2), and two equivalent O(8) atoms to form NiO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(3)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-66°. In the second Ni site, Ni(2) is bonded to one O(3), one O(7), two equivalent O(11), and two equivalent O(5) atoms to form NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-66°. In the third Ni site, Ni(3) is bonded to one O(10), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Ni(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-66°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the second P site, P(2) is bonded to one O(6), one O(9), and two equivalent O(5) atoms to form PO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the third P site, P(3) is bonded to one O(4), one O(7), and two equivalent O(8) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the fourth P site, P(4) is bonded to one O(12), one O(3), and two equivalent O(11) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Co(1), and one P(1) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(1), one Ni(3), and one P(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Ni(2), and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Ni(1), and one P(3) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(1), one Ni(2), and one P(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(3), and one P(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(2), and one P(3) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ni(1), one Ni(3), and one P(3) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Co(1), and one P(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Ni(3), and one P(1) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Ni(2), and one P(4) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Ni(1), and one P(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4CoNi3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.941
_cell_length_b   4.732
_cell_length_c   10.152
_cell_angle_alpha   89.980
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   285.455
_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  0.250  0.001  0.000  1.0
  Li  Li1  1  0.750  0.001  0.000  1.0
  Li  Li2  1  0.750  0.499  0.500  1.0
  Li  Li3  1  0.250  0.499  0.500  1.0
  Co  Co4  1  0.000  0.975  0.279  1.0
  Ni  Ni5  1  0.500  0.020  0.725  1.0
  Ni  Ni6  1  0.500  0.480  0.223  1.0
  Ni  Ni7  1  0.000  0.520  0.776  1.0
  P  P8  1  0.000  0.084  0.595  1.0
  P  P9  1  0.000  0.417  0.093  1.0
  P  P10  1  0.500  0.584  0.906  1.0
  P  P11  1  0.500  0.916  0.406  1.0
  O  O12  1  0.000  0.202  0.453  1.0
  O  O13  1  0.208  0.226  0.666  1.0
  O  O14  1  0.792  0.226  0.666  1.0
  O  O15  1  0.500  0.240  0.400  1.0
  O  O16  1  0.500  0.260  0.900  1.0
  O  O17  1  0.207  0.276  0.164  1.0
  O  O18  1  0.793  0.276  0.164  1.0
  O  O19  1  0.000  0.299  0.950  1.0
  O  O20  1  0.500  0.702  0.049  1.0
  O  O21  1  0.707  0.726  0.834  1.0
  O  O22  1  0.293  0.726  0.834  1.0
  O  O23  1  0.000  0.741  0.098  1.0
  O  O24  1  0.000  0.760  0.600  1.0
  O  O25  1  0.706  0.773  0.334  1.0
  O  O26  1  0.294  0.773  0.334  1.0
  O  O27  1  0.500  0.799  0.549  1.0
[/CIF]
.
The compound described by Li4CoNi3(PO4)4 is Spinel-derived structured and crystallizes in the monoclinic Pm space group. There are two inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(4), one O(5), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, edges with two equivalent Li(1)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the second Li site, Li(2) is bonded to one O(1), one O(10), one O(11), one O(12), one O(2), and one O(3) atom to form LiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, edges with two equivalent Li(2)O6 octahedra,  an edgeedge with one P(1)O4 tetrahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 57-67°. Co(1) is bonded to one O(1), one O(9), two equivalent O(11), and two equivalent O(5) atoms to form CoO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-67°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(12), one O(4), two equivalent O(2), and two equivalent O(8) atoms to form NiO6 octahedra that share corners with four equivalent Li(2)O6 octahedra, corners with four equivalent Ni(3)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, edges with two equivalent Li(1)O6 octahedra, and  an edgeedge with one P(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-66°. In the second Ni site, Ni(2) is bonded to one O(3), one O(7), two equivalent O(11), and two equivalent O(5) atoms to form NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-66°. In the third Ni site, Ni(3) is bonded to one O(10), one O(6), two equivalent O(2), and two equivalent O(8) atoms to form NiO6 octahedra that share corners with four equivalent Li(1)O6 octahedra, corners with four equivalent Ni(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(2)O4 tetrahedra, corners with two equivalent P(3)O4 tetrahedra, edges with two equivalent Li(2)O6 octahedra, and  an edgeedge with one P(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-66°. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(10), and two equivalent O(2) atoms to form PO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-56°. In the second P site, P(2) is bonded to one O(6), one O(9), and two equivalent O(5) atoms to form PO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the third P site, P(3) is bonded to one O(4), one O(7), and two equivalent O(8) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Li(1)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and edges with two equivalent Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-57°. In the fourth P site, P(4) is bonded to one O(12), one O(3), and two equivalent O(11) atoms to form PO4 tetrahedra that share  a cornercorner with one Ni(1)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra, corners with two equivalent Li(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and edges with two equivalent Li(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-57°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Co(1), and one P(1) atom. In the second O site, O(2) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ni(1), one Ni(3), and one P(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Ni(2), and one P(4) atom. In the fourth O site, O(4) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Ni(1), and one P(3) atom. In the fifth O site, O(5) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Co(1), one Ni(2), and one P(2) atom. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(3), and one P(2) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to two equivalent Li(1), one Ni(2), and one P(3) atom. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(1), one Ni(1), one Ni(3), and one P(3) atom. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(1), one Co(1), and one P(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li(2), one Ni(3), and one P(1) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Co(1), one Ni(2), and one P(4) atom. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to two equivalent Li(2), one Ni(1), and one P(4) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4CoNi3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.941
_cell_length_b   4.732
_cell_length_c   10.152
_cell_angle_alpha   89.980
_cell_angle_beta   90.000
_cell_angle_gamma   90.000
_symmetry_Int_Tables_number   1
_cell_volume   285.455
_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  0.250  0.001  0.000  1.0
  Li  Li1  1  0.750  0.001  0.000  1.0
  Li  Li2  1  0.750  0.499  0.500  1.0
  Li  Li3  1  0.250  0.499  0.500  1.0
  Co  Co4  1  0.000  0.975  0.279  1.0
  Ni  Ni5  1  0.500  0.020  0.725  1.0
  Ni  Ni6  1  0.500  0.480  0.223  1.0
  Ni  Ni7  1  0.000  0.520  0.776  1.0
  P  P8  1  0.000  0.084  0.595  1.0
  P  P9  1  0.000  0.417  0.093  1.0
  P  P10  1  0.500  0.584  0.906  1.0
  P  P11  1  0.500  0.916  0.406  1.0
  O  O12  1  0.000  0.202  0.453  1.0
  O  O13  1  0.208  0.226  0.666  1.0
  O  O14  1  0.792  0.226  0.666  1.0
  O  O15  1  0.500  0.240  0.400  1.0
  O  O16  1  0.500  0.260  0.900  1.0
  O  O17  1  0.207  0.276  0.164  1.0
  O  O18  1  0.793  0.276  0.164  1.0
  O  O19  1  0.000  0.299  0.950  1.0
  O  O20  1  0.500  0.702  0.049  1.0
  O  O21  1  0.707  0.726  0.834  1.0
  O  O22  1  0.293  0.726  0.834  1.0
  O  O23  1  0.000  0.741  0.098  1.0
  O  O24  1  0.000  0.760  0.600  1.0
  O  O25  1  0.706  0.773  0.334  1.0
  O  O26  1  0.294  0.773  0.334  1.0
  O  O27  1  0.500  0.799  0.549  1.0
[/CIF]
.