The structure described by Li4CrMn3Co2(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 6-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 4-coordinate geometry to one O(1), one O(11), one O(15), and one O(5) atom. In the third Li site, Li(3) is bonded in a 3-coordinate geometry to one O(13), one O(15), one O(19), one O(2), and one O(21) atom. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(16), one O(17), one O(18), and one O(3) atom. Cr(1) is bonded to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom to form 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, and  a cornercorner with one P(6)O4 tetrahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(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 distorted MnO6 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 Co(2)O6 octahedra. In the second Mn site, Mn(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 distorted MnO6 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 Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom. There are two inequivalent Co sites. In the first Co site, Co(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 Co site, Co(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 CoO6 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 Mn(1)O6 octahedra. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-53°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-53°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-54°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 30-47°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 18-47°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-49°. 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 Mn(3), and one P(2) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Li(3), one Mn(3), and one P(3) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Li(4), one Mn(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 Mn(2), one Co(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 Cr(1), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mn(1), one Co(2), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(2), one Co(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 Mn(1), 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 Mn(2) and one P(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(1), one Co(2), and one P(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(2), one Cr(1), one Co(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted linear geometry to one Mn(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 Cr(1), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(2), one Co(1), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 5-coordinate geometry to one Li(2), one Li(3), one Mn(3), one Co(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 Cr(1), and one P(3) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Li(4), one Mn(3), one Co(2), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a distorted rectangular see-saw-like geometry to 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 4-coordinate geometry to one Li(3), one Mn(3), one Co(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 Mn(2), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal pyramidal geometry to 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 bent 150 degrees geometry to one Mn(1) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one Mn(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 Mn(1), and one P(5) atom. is represented by the CIF card [CIF]
data_Li4Mn3CrCo2(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.415
_cell_length_b   8.486
_cell_length_c   8.604
_cell_angle_alpha   63.067
_cell_angle_beta   63.777
_cell_angle_gamma   64.167
_symmetry_Int_Tables_number   1
_cell_volume   469.610
_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  0.741  0.150  0.359  1.0
  Li  Li1  1  0.265  0.849  0.652  1.0
  Li  Li2  1  0.644  0.262  0.855  1.0
  Li  Li3  1  0.855  0.647  0.263  1.0
  Mn  Mn4  1  0.351  0.355  0.351  1.0
  Mn  Mn5  1  0.145  0.146  0.148  1.0
  Mn  Mn6  1  0.656  0.652  0.654  1.0
  Cr  Cr7  1  0.853  0.851  0.854  1.0
  Co  Co8  1  0.011  0.008  0.988  1.0
  Co  Co9  1  0.491  0.501  0.503  1.0
  P  P10  1  0.062  0.751  0.445  1.0
  P  P11  1  0.443  0.052  0.751  1.0
  P  P12  1  0.750  0.442  0.054  1.0
  P  P13  1  0.246  0.548  0.951  1.0
  P  P14  1  0.561  0.950  0.248  1.0
  P  P15  1  0.937  0.248  0.550  1.0
  O  O16  1  0.463  0.903  0.683  1.0
  O  O17  1  0.681  0.461  0.908  1.0
  O  O18  1  0.910  0.686  0.459  1.0
  O  O19  1  0.067  0.920  0.258  1.0
  O  O20  1  0.010  0.813  0.610  1.0
  O  O21  1  0.254  0.608  0.430  1.0
  O  O22  1  0.251  0.070  0.904  1.0
  O  O23  1  0.448  0.241  0.596  1.0
  O  O24  1  0.174  0.389  0.996  1.0
  O  O25  1  0.610  0.424  0.251  1.0
  O  O26  1  0.091  0.747  0.924  1.0
  O  O27  1  0.394  0.013  0.185  1.0
  O  O28  1  0.605  0.001  0.823  1.0
  O  O29  1  0.903  0.246  0.077  1.0
  O  O30  1  0.392  0.569  0.754  1.0
  O  O31  1  0.818  0.605  0.006  1.0
  O  O32  1  0.574  0.752  0.394  1.0
  O  O33  1  0.756  0.922  0.089  1.0
  O  O34  1  0.742  0.398  0.581  1.0
  O  O35  1  0.953  0.185  0.401  1.0
  O  O36  1  0.923  0.090  0.748  1.0
  O  O37  1  0.099  0.308  0.507  1.0
  O  O38  1  0.311  0.522  0.099  1.0
  O  O39  1  0.558  0.093  0.312  1.0
[/CIF]
.
The structure described by Li4CrMn3Co2(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 6-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 4-coordinate geometry to one O(1), one O(11), one O(15), and one O(5) atom. In the third Li site, Li(3) is bonded in a 3-coordinate geometry to one O(13), one O(15), one O(19), one O(2), and one O(21) atom. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(16), one O(17), one O(18), and one O(3) atom. Cr(1) is bonded to one O(11), one O(13), one O(16), one O(18), one O(21), and one O(5) atom to form 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, and  a cornercorner with one P(6)O4 tetrahedra. There are three inequivalent Mn sites. In the first Mn site, Mn(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 distorted MnO6 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 Co(2)O6 octahedra. In the second Mn site, Mn(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 distorted MnO6 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 Mn site, Mn(3) is bonded in a 6-coordinate geometry to one O(1), one O(15), one O(17), one O(19), one O(2), and one O(3) atom. There are two inequivalent Co sites. In the first Co site, Co(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 Co site, Co(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 CoO6 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 Mn(1)O6 octahedra. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 25-53°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-53°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 27-54°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 30-47°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 18-47°. 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 Cr(1)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra,  a cornercorner with one Mn(2)O6 octahedra, and  a cornercorner with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 26-49°. 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 Mn(3), and one P(2) atom. In the second O site, O(2) is bonded in a distorted T-shaped geometry to one Li(3), one Mn(3), and one P(3) atom. In the third O site, O(3) is bonded in a 3-coordinate geometry to one Li(4), one Mn(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 Mn(2), one Co(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 Cr(1), and one P(1) atom. In the sixth O site, O(6) is bonded in a 3-coordinate geometry to one Mn(1), one Co(2), and one P(1) atom. In the seventh O site, O(7) is bonded in a 3-coordinate geometry to one Mn(2), one Co(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 Mn(1), 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 Mn(2) and one P(4) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(1), one Co(2), and one P(3) atom. In the eleventh O site, O(11) is bonded in a 4-coordinate geometry to one Li(2), one Cr(1), one Co(1), and one P(4) atom. In the twelfth O site, O(12) is bonded in a distorted linear geometry to one Mn(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 Cr(1), and one P(2) atom. In the fourteenth O site, O(14) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Mn(2), one Co(1), and one P(3) atom. In the fifteenth O site, O(15) is bonded in a 5-coordinate geometry to one Li(2), one Li(3), one Mn(3), one Co(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 Cr(1), and one P(3) atom. In the seventeenth O site, O(17) is bonded in a 4-coordinate geometry to one Li(4), one Mn(3), one Co(2), and one P(5) atom. In the eighteenth O site, O(18) is bonded in a distorted rectangular see-saw-like geometry to 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 4-coordinate geometry to one Li(3), one Mn(3), one Co(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 Mn(2), and one P(6) atom. In the twenty-first O site, O(21) is bonded in a distorted trigonal pyramidal geometry to 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 bent 150 degrees geometry to one Mn(1) and one P(6) atom. In the twenty-third O site, O(23) is bonded in a bent 150 degrees geometry to one Mn(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 Mn(1), and one P(5) atom. is represented by the CIF card [CIF]
data_Li4Mn3CrCo2(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.415
_cell_length_b   8.486
_cell_length_c   8.604
_cell_angle_alpha   63.067
_cell_angle_beta   63.777
_cell_angle_gamma   64.167
_symmetry_Int_Tables_number   1
_cell_volume   469.610
_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  0.741  0.150  0.359  1.0
  Li  Li1  1  0.265  0.849  0.652  1.0
  Li  Li2  1  0.644  0.262  0.855  1.0
  Li  Li3  1  0.855  0.647  0.263  1.0
  Mn  Mn4  1  0.351  0.355  0.351  1.0
  Mn  Mn5  1  0.145  0.146  0.148  1.0
  Mn  Mn6  1  0.656  0.652  0.654  1.0
  Cr  Cr7  1  0.853  0.851  0.854  1.0
  Co  Co8  1  0.011  0.008  0.988  1.0
  Co  Co9  1  0.491  0.501  0.503  1.0
  P  P10  1  0.062  0.751  0.445  1.0
  P  P11  1  0.443  0.052  0.751  1.0
  P  P12  1  0.750  0.442  0.054  1.0
  P  P13  1  0.246  0.548  0.951  1.0
  P  P14  1  0.561  0.950  0.248  1.0
  P  P15  1  0.937  0.248  0.550  1.0
  O  O16  1  0.463  0.903  0.683  1.0
  O  O17  1  0.681  0.461  0.908  1.0
  O  O18  1  0.910  0.686  0.459  1.0
  O  O19  1  0.067  0.920  0.258  1.0
  O  O20  1  0.010  0.813  0.610  1.0
  O  O21  1  0.254  0.608  0.430  1.0
  O  O22  1  0.251  0.070  0.904  1.0
  O  O23  1  0.448  0.241  0.596  1.0
  O  O24  1  0.174  0.389  0.996  1.0
  O  O25  1  0.610  0.424  0.251  1.0
  O  O26  1  0.091  0.747  0.924  1.0
  O  O27  1  0.394  0.013  0.185  1.0
  O  O28  1  0.605  0.001  0.823  1.0
  O  O29  1  0.903  0.246  0.077  1.0
  O  O30  1  0.392  0.569  0.754  1.0
  O  O31  1  0.818  0.605  0.006  1.0
  O  O32  1  0.574  0.752  0.394  1.0
  O  O33  1  0.756  0.922  0.089  1.0
  O  O34  1  0.742  0.398  0.581  1.0
  O  O35  1  0.953  0.185  0.401  1.0
  O  O36  1  0.923  0.090  0.748  1.0
  O  O37  1  0.099  0.308  0.507  1.0
  O  O38  1  0.311  0.522  0.099  1.0
  O  O39  1  0.558  0.093  0.312  1.0
[/CIF]
.