The crystal structure described by LiCo2(PO4)3 crystallizes in the triclinic P-1 space group. Li(1) is bonded to one O(1), one O(2), one O(4), and one O(7) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-69°. There are two inequivalent Co sites. In the first Co site, Co(1) 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 CoO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent P(3)O4 tetrahedra. In the second Co site, Co(2) 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 CoO6 octahedra that share  a cornercorner with one Li(1)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  an edgeedge with one Li(1)O4 tetrahedra. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(4), one O(5), and one O(6) atom to form PO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with two equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 18-43°. In the second P site, P(2) is bonded to one O(12), one O(3), one O(7), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and  a cornercorner with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 24-45°. 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 Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and  a cornercorner with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 29-48°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Li(1), one Co(2), and one P(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(2), and one P(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Co(2) and one P(2) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(2), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one Co(1) and one P(1) atom. In the sixth O site, O(6) is bonded in a linear geometry to one Co(1) and one P(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Co(2) and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Co(2) and one P(3) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Co(1) and one P(3) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one Co(1) and one P(3) atom. In the twelfth O site, O(12) is bonded in a bent 150 degrees geometry to one Co(1) and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiCo2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.392
_cell_length_b   8.408
_cell_length_c   8.976
_cell_angle_alpha   90.249
_cell_angle_beta   117.761
_cell_angle_gamma   119.878
_symmetry_Int_Tables_number   1
_cell_volume   462.295
_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  0.185  0.263  0.862  1.0
  Li  Li1  1  0.815  0.737  0.138  1.0
  Co  Co2  1  0.714  0.853  0.571  1.0
  Co  Co3  1  0.298  0.663  0.943  1.0
  Co  Co4  1  0.702  0.337  0.057  1.0
  Co  Co5  1  0.286  0.147  0.429  1.0
  P  P6  1  0.500  0.538  0.751  1.0
  P  P7  1  0.789  0.252  0.750  1.0
  P  P8  1  0.214  0.964  0.749  1.0
  P  P9  1  0.786  0.036  0.251  1.0
  P  P10  1  0.211  0.748  0.250  1.0
  P  P11  1  0.500  0.462  0.249  1.0
  O  O12  1  0.319  0.464  0.083  1.0
  O  O13  1  0.628  0.834  0.108  1.0
  O  O14  1  0.264  0.777  0.103  1.0
  O  O15  1  0.327  0.506  0.792  1.0
  O  O16  1  0.611  0.737  0.727  1.0
  O  O17  1  0.388  0.377  0.583  1.0
  O  O18  1  0.862  0.118  0.736  1.0
  O  O19  1  0.970  0.464  0.798  1.0
  O  O20  1  0.294  0.832  0.802  1.0
  O  O21  1  0.810  0.011  0.429  1.0
  O  O22  1  0.012  0.121  0.277  1.0
  O  O23  1  0.422  0.807  0.424  1.0
  O  O24  1  0.578  0.193  0.576  1.0
  O  O25  1  0.988  0.879  0.723  1.0
  O  O26  1  0.190  0.989  0.571  1.0
  O  O27  1  0.706  0.168  0.198  1.0
  O  O28  1  0.030  0.536  0.202  1.0
  O  O29  1  0.138  0.882  0.264  1.0
  O  O30  1  0.612  0.623  0.417  1.0
  O  O31  1  0.389  0.263  0.273  1.0
  O  O32  1  0.673  0.494  0.208  1.0
  O  O33  1  0.736  0.223  0.897  1.0
  O  O34  1  0.372  0.166  0.892  1.0
  O  O35  1  0.681  0.536  0.917  1.0
[/CIF]
.
The crystal structure described by LiCo2(PO4)3 crystallizes in the triclinic P-1 space group. Li(1) is bonded to one O(1), one O(2), one O(4), and one O(7) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-69°. There are two inequivalent Co sites. In the first Co site, Co(1) 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 CoO6 octahedra that share  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, corners with two equivalent P(2)O4 tetrahedra, and corners with two equivalent P(3)O4 tetrahedra. In the second Co site, Co(2) 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 CoO6 octahedra that share  a cornercorner with one Li(1)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  an edgeedge with one Li(1)O4 tetrahedra. There are three inequivalent P sites. In the first P site, P(1) is bonded to one O(1), one O(4), one O(5), and one O(6) atom to form PO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and corners with two equivalent Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 18-43°. In the second P site, P(2) is bonded to one O(12), one O(3), one O(7), and one O(8) atom to form PO4 tetrahedra that share corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and  a cornercorner with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 24-45°. 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 Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, and  a cornercorner with one Li(1)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 29-48°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a 3-coordinate geometry to one Li(1), one Co(2), and one P(1) atom. In the second O site, O(2) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(2), and one P(3) atom. In the third O site, O(3) is bonded in a bent 150 degrees geometry to one Co(2) and one P(2) atom. In the fourth O site, O(4) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(2), and one P(1) atom. In the fifth O site, O(5) is bonded in a distorted bent 150 degrees geometry to one Co(1) and one P(1) atom. In the sixth O site, O(6) is bonded in a linear geometry to one Co(1) and one P(1) atom. In the seventh O site, O(7) is bonded in a distorted trigonal planar geometry to one Li(1), one Co(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a bent 150 degrees geometry to one Co(2) and one P(2) atom. In the ninth O site, O(9) is bonded in a bent 150 degrees geometry to one Co(2) and one P(3) atom. In the tenth O site, O(10) is bonded in a bent 150 degrees geometry to one Co(1) and one P(3) atom. In the eleventh O site, O(11) is bonded in a bent 150 degrees geometry to one Co(1) and one P(3) atom. In the twelfth O site, O(12) is bonded in a bent 150 degrees geometry to one Co(1) and one P(2) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_LiCo2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.392
_cell_length_b   8.408
_cell_length_c   8.976
_cell_angle_alpha   90.249
_cell_angle_beta   117.761
_cell_angle_gamma   119.878
_symmetry_Int_Tables_number   1
_cell_volume   462.295
_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  0.185  0.263  0.862  1.0
  Li  Li1  1  0.815  0.737  0.138  1.0
  Co  Co2  1  0.714  0.853  0.571  1.0
  Co  Co3  1  0.298  0.663  0.943  1.0
  Co  Co4  1  0.702  0.337  0.057  1.0
  Co  Co5  1  0.286  0.147  0.429  1.0
  P  P6  1  0.500  0.538  0.751  1.0
  P  P7  1  0.789  0.252  0.750  1.0
  P  P8  1  0.214  0.964  0.749  1.0
  P  P9  1  0.786  0.036  0.251  1.0
  P  P10  1  0.211  0.748  0.250  1.0
  P  P11  1  0.500  0.462  0.249  1.0
  O  O12  1  0.319  0.464  0.083  1.0
  O  O13  1  0.628  0.834  0.108  1.0
  O  O14  1  0.264  0.777  0.103  1.0
  O  O15  1  0.327  0.506  0.792  1.0
  O  O16  1  0.611  0.737  0.727  1.0
  O  O17  1  0.388  0.377  0.583  1.0
  O  O18  1  0.862  0.118  0.736  1.0
  O  O19  1  0.970  0.464  0.798  1.0
  O  O20  1  0.294  0.832  0.802  1.0
  O  O21  1  0.810  0.011  0.429  1.0
  O  O22  1  0.012  0.121  0.277  1.0
  O  O23  1  0.422  0.807  0.424  1.0
  O  O24  1  0.578  0.193  0.576  1.0
  O  O25  1  0.988  0.879  0.723  1.0
  O  O26  1  0.190  0.989  0.571  1.0
  O  O27  1  0.706  0.168  0.198  1.0
  O  O28  1  0.030  0.536  0.202  1.0
  O  O29  1  0.138  0.882  0.264  1.0
  O  O30  1  0.612  0.623  0.417  1.0
  O  O31  1  0.389  0.263  0.273  1.0
  O  O32  1  0.673  0.494  0.208  1.0
  O  O33  1  0.736  0.223  0.897  1.0
  O  O34  1  0.372  0.166  0.892  1.0
  O  O35  1  0.681  0.536  0.917  1.0
[/CIF]
.