The structure described by Li5Mn2Co2(PO4)4 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(14), one O(15), one O(16), one O(2), and one O(3) atom to form distorted LiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent Li(2)O4 trigonal pyramids, corners with two equivalent Li(5)O4 trigonal pyramids,  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 53-70°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(4), and one O(5) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 28-76°. In the third Li site, Li(3) is bonded to one O(10), one O(12), one O(5), one O(7), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the fourth Li site, Li(4) is bonded to one O(10), one O(11), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the fifth Li site, Li(5) is bonded to one O(12), one O(13), one O(15), and one O(16) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-76°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form distorted MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 60-66°. In the second Mn site, Mn(2) is bonded to one O(10), one O(11), one O(12), one O(13), one O(14), and one O(16) atom to form distorted MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra,  a cornercorner with one Li(5)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one P(3)O4 tetrahedra, and  an edgeedge with one Li(5)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-70°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(8) atom. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(13), one O(14), one O(15), and one O(9) atom. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(16), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(5)O4 trigonal pyramid, corners with two equivalent Li(2)O4 trigonal pyramids, and  an edgeedge with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second P site, P(2) is bonded to one O(5), one O(6), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-59°. In the third P site, P(3) is bonded to one O(10), one O(11), one O(12), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Li(5)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-59°. In the fourth P site, P(4) is bonded to one O(1), one O(13), one O(14), and one O(15) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, corners with two equivalent Li(5)O4 trigonal pyramids, and  an edgeedge with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(1), one Li(2), one Mn(1), and one P(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(1), one Li(2), one Co(1), and one P(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(1), one Co(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(2), one Mn(1), one Co(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(2), one Li(3), one Mn(1), one Co(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), one Co(1), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(4), one Mn(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(4), one Co(1), and one P(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Li(4), one Co(2), and one P(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(4), one Mn(2), and one P(3) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(2), one Co(2), and one P(3) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Li(3), one Li(5), one Mn(2), one Co(2), and one P(3) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Li(5), one Mn(2), one Co(2), and one P(4) atom. In the fourteenth O site, O(14) is bonded in a distorted tetrahedral geometry to one Li(1), one Mn(2), one Co(2), and one P(4) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(1), one Li(5), one Co(2), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(1), one Li(5), one Mn(2), and one P(1) atom. is represented by the CIF file [CIF]
data_Li5Mn2Co2(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.877
_cell_length_b   6.246
_cell_length_c   10.431
_cell_angle_alpha   91.782
_cell_angle_beta   90.742
_cell_angle_gamma   90.288
_symmetry_Int_Tables_number   1
_cell_volume   317.506
_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  0.022  0.990  0.992  1.0
  Li  Li1  1  0.111  0.477  0.871  1.0
  Li  Li2  1  0.516  0.490  0.508  1.0
  Li  Li3  1  0.485  0.995  0.494  1.0
  Li  Li4  1  0.889  0.523  0.130  1.0
  Mn  Mn5  1  0.550  0.228  0.779  1.0
  Mn  Mn6  1  0.450  0.769  0.221  1.0
  Co  Co7  1  0.030  0.766  0.706  1.0
  Co  Co8  1  0.970  0.234  0.291  1.0
  P  P9  1  0.606  0.745  0.906  1.0
  P  P10  1  0.094  0.253  0.596  1.0
  P  P11  1  0.906  0.751  0.403  1.0
  P  P12  1  0.395  0.255  0.095  1.0
  O  O13  1  0.293  0.246  0.952  1.0
  O  O14  1  0.291  0.751  0.896  1.0
  O  O15  1  0.744  0.942  0.841  1.0
  O  O16  1  0.728  0.541  0.837  1.0
  O  O17  1  0.214  0.448  0.678  1.0
  O  O18  1  0.227  0.054  0.660  1.0
  O  O19  1  0.777  0.246  0.596  1.0
  O  O20  1  0.783  0.737  0.540  1.0
  O  O21  1  0.216  0.263  0.459  1.0
  O  O22  1  0.221  0.763  0.403  1.0
  O  O23  1  0.767  0.949  0.340  1.0
  O  O24  1  0.790  0.554  0.321  1.0
  O  O25  1  0.269  0.458  0.163  1.0
  O  O26  1  0.257  0.056  0.158  1.0
  O  O27  1  0.709  0.252  0.106  1.0
  O  O28  1  0.710  0.753  0.048  1.0
[/CIF]
.
The structure described by Li5Mn2Co2(PO4)4 crystallizes in the triclinic P1 space group. There are five inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(1), one O(14), one O(15), one O(16), one O(2), and one O(3) atom to form distorted LiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent Li(2)O4 trigonal pyramids, corners with two equivalent Li(5)O4 trigonal pyramids,  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 53-70°. In the second Li site, Li(2) is bonded to one O(1), one O(2), one O(4), and one O(5) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 28-76°. In the third Li site, Li(3) is bonded to one O(10), one O(12), one O(5), one O(7), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  a cornercorner with one Li(5)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(4)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the fourth Li site, Li(4) is bonded to one O(10), one O(11), one O(6), one O(7), one O(8), and one O(9) atom to form LiO6 octahedra that share  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one P(3)O4 tetrahedra. In the fifth Li site, Li(5) is bonded to one O(12), one O(13), one O(15), and one O(16) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-76°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(3), one O(4), one O(5), one O(6), and one O(7) atom to form distorted MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(2)O4 tetrahedra,  a cornercorner with one P(4)O4 tetrahedra, corners with two equivalent P(1)O4 tetrahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one P(2)O4 tetrahedra, and  an edgeedge with one Li(2)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 60-66°. In the second Mn site, Mn(2) is bonded to one O(10), one O(11), one O(12), one O(13), one O(14), and one O(16) atom to form distorted MnO6 octahedra that share corners with two equivalent Li(1)O6 octahedra,  a cornercorner with one P(1)O4 tetrahedra,  a cornercorner with one P(3)O4 tetrahedra, corners with two equivalent P(4)O4 tetrahedra,  a cornercorner with one Li(5)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra,  an edgeedge with one P(3)O4 tetrahedra, and  an edgeedge with one Li(5)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 53-70°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded in a 6-coordinate geometry to one O(2), one O(3), one O(4), one O(5), one O(6), and one O(8) atom. In the second Co site, Co(2) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(13), one O(14), one O(15), and one O(9) atom. There are four inequivalent P sites. In the first P site, P(1) is bonded to one O(16), one O(2), one O(3), and one O(4) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(5)O4 trigonal pyramid, corners with two equivalent Li(2)O4 trigonal pyramids, and  an edgeedge with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 47-54°. In the second P site, P(2) is bonded to one O(5), one O(6), one O(7), and one O(9) atom to form PO4 tetrahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-59°. In the third P site, P(3) is bonded to one O(10), one O(11), one O(12), and one O(8) atom to form PO4 tetrahedra that share  a cornercorner with one Li(3)O6 octahedra,  a cornercorner with one Li(4)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra,  a cornercorner with one Li(5)O4 trigonal pyramid,  an edgeedge with one Li(3)O6 octahedra,  an edgeedge with one Li(4)O6 octahedra, and  an edgeedge with one Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-59°. In the fourth P site, P(4) is bonded to one O(1), one O(13), one O(14), and one O(15) atom to form PO4 tetrahedra that share  a cornercorner with one Li(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(2)O4 trigonal pyramid, corners with two equivalent Li(5)O4 trigonal pyramids, and  an edgeedge with one Li(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 4-coordinate geometry to one Li(1), one Li(2), one Mn(1), and one P(4) atom. In the second O site, O(2) is bonded in a 4-coordinate geometry to one Li(1), one Li(2), one Co(1), and one P(1) atom. In the third O site, O(3) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(1), one Co(1), and one P(1) atom. In the fourth O site, O(4) is bonded in a 4-coordinate geometry to one Li(2), one Mn(1), one Co(1), and one P(1) atom. In the fifth O site, O(5) is bonded in a 5-coordinate geometry to one Li(2), one Li(3), one Mn(1), one Co(1), and one P(2) atom. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(1), one Co(1), and one P(2) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(4), one Mn(1), and one P(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(4), one Co(1), and one P(3) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Li(4), one Co(2), and one P(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Li(4), one Mn(2), and one P(3) atom. In the eleventh O site, O(11) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Mn(2), one Co(2), and one P(3) atom. In the twelfth O site, O(12) is bonded in a 5-coordinate geometry to one Li(3), one Li(5), one Mn(2), one Co(2), and one P(3) atom. In the thirteenth O site, O(13) is bonded in a 4-coordinate geometry to one Li(5), one Mn(2), one Co(2), and one P(4) atom. In the fourteenth O site, O(14) is bonded in a distorted tetrahedral geometry to one Li(1), one Mn(2), one Co(2), and one P(4) atom. In the fifteenth O site, O(15) is bonded in a 4-coordinate geometry to one Li(1), one Li(5), one Co(2), and one P(4) atom. In the sixteenth O site, O(16) is bonded in a 4-coordinate geometry to one Li(1), one Li(5), one Mn(2), and one P(1) atom. is represented by the CIF file [CIF]
data_Li5Mn2Co2(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.877
_cell_length_b   6.246
_cell_length_c   10.431
_cell_angle_alpha   91.782
_cell_angle_beta   90.742
_cell_angle_gamma   90.288
_symmetry_Int_Tables_number   1
_cell_volume   317.506
_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  0.022  0.990  0.992  1.0
  Li  Li1  1  0.111  0.477  0.871  1.0
  Li  Li2  1  0.516  0.490  0.508  1.0
  Li  Li3  1  0.485  0.995  0.494  1.0
  Li  Li4  1  0.889  0.523  0.130  1.0
  Mn  Mn5  1  0.550  0.228  0.779  1.0
  Mn  Mn6  1  0.450  0.769  0.221  1.0
  Co  Co7  1  0.030  0.766  0.706  1.0
  Co  Co8  1  0.970  0.234  0.291  1.0
  P  P9  1  0.606  0.745  0.906  1.0
  P  P10  1  0.094  0.253  0.596  1.0
  P  P11  1  0.906  0.751  0.403  1.0
  P  P12  1  0.395  0.255  0.095  1.0
  O  O13  1  0.293  0.246  0.952  1.0
  O  O14  1  0.291  0.751  0.896  1.0
  O  O15  1  0.744  0.942  0.841  1.0
  O  O16  1  0.728  0.541  0.837  1.0
  O  O17  1  0.214  0.448  0.678  1.0
  O  O18  1  0.227  0.054  0.660  1.0
  O  O19  1  0.777  0.246  0.596  1.0
  O  O20  1  0.783  0.737  0.540  1.0
  O  O21  1  0.216  0.263  0.459  1.0
  O  O22  1  0.221  0.763  0.403  1.0
  O  O23  1  0.767  0.949  0.340  1.0
  O  O24  1  0.790  0.554  0.321  1.0
  O  O25  1  0.269  0.458  0.163  1.0
  O  O26  1  0.257  0.056  0.158  1.0
  O  O27  1  0.709  0.252  0.106  1.0
  O  O28  1  0.710  0.753  0.048  1.0
[/CIF]
.