The material structure described by Li10Cr2Fe3Co3O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded in a 3-coordinate geometry to one O(12), one O(14), one O(15), one O(3), one O(6), and one O(9) atom. In the second Li site, Li(2) is bonded in a 6-coordinate geometry to one O(11), one O(15), one O(16), one O(3), one O(6), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(11), one O(12), one O(15), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. In the fourth Li site, Li(4) is bonded to one O(14), one O(16), one O(6), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-60°. In the fifth Li site, Li(5) is bonded to one O(1), one O(10), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-61°. In the sixth Li site, Li(6) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(14), one O(16), one O(3), and one O(6) atom. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(4), one O(5), one O(7), and one O(8) atom. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(10), one O(13), one O(2), one O(4), one O(5), and one O(7) atom. In the ninth Li site, Li(9) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(13), one O(2), one O(5), and one O(8) atom. In the tenth Li site, Li(10) is bonded to one O(14), one O(16), one O(2), one O(4), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  a faceface with one Li(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-53°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(2), one O(4), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-52°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(5), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. In the second Fe site, Fe(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(6) atom to form FeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-50°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(6), and one O(7) atom to form FeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-48°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(5), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the second Co site, Co(2) is bonded to one O(1), one O(11), one O(12), one O(13), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the third Co site, Co(3) is bonded to one O(16), one O(2), one O(3), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-50°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(7), one Li(9), one Cr(2), one Fe(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(10), one Li(8), one Li(9), one Cr(2), one Co(1), and one Co(3) atom to form OLi3CrCo2 octahedra that share edges with two equivalent O(4)Li3CrFeCo octahedra, edges with two equivalent O(8)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(6), one Fe(1), one Co(1), and one Co(3) atom to form distorted OLi3FeCo2 pentagonal pyramids that share  an edgeedge with one O(2)Li3CrCo2 octahedra,  an edgeedge with one O(15)Li3CrFe2 octahedra,  an edgeedge with one O(11)Li3CrFeCo octahedra,  an edgeedge with one O(12)Li3CrFeCo octahedra,  an edgeedge with one O(4)Li3CrFeCo octahedra, and  an edgeedge with one O(8)Li3CrFeCo octahedra. In the fourth O site, O(4) is bonded to one Li(10), one Li(7), one Li(8), one Cr(2), one Fe(1), and one Co(1) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(2)Li3CrCo2 octahedra, edges with two equivalent O(8)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 7-coordinate geometry to one Li(5), one Li(7), one Li(8), one Li(9), one Fe(1), one Co(1), and one Co(3) atom. In the sixth O site, O(6) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(4), one Li(6), one Fe(2), one Fe(3), and one Co(2) atom. In the seventh O site, O(7) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(7), one Li(8), one Cr(2), one Fe(3), and one Co(2) atom. In the eighth O site, O(8) is bonded to one Li(10), one Li(7), one Li(9), one Cr(2), one Fe(1), and one Co(3) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(2)Li3CrCo2 octahedra, edges with two equivalent O(4)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the ninth O site, O(9) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(2), one Li(4), one Cr(1), one Co(1), and one Co(3) atom. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(8), one Li(9), one Cr(2), one Fe(2), and one Fe(3) atom. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(6), one Cr(1), one Fe(2), and one Co(2) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(15)Li3CrFe2 octahedra, edges with two equivalent O(12)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Li(3), one Li(6), one Cr(1), one Fe(3), and one Co(2) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(15)Li3CrFe2 octahedra, edges with two equivalent O(11)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(7), one Li(8), one Li(9), one Fe(2), one Fe(3), and one Co(2) atom to form distorted OLi3Fe2Co pentagonal pyramids that share  an edgeedge with one O(2)Li3CrCo2 octahedra,  an edgeedge with one O(15)Li3CrFe2 octahedra,  an edgeedge with one O(11)Li3CrFeCo octahedra,  an edgeedge with one O(12)Li3CrFeCo octahedra,  an edgeedge with one O(4)Li3CrFeCo octahedra, and  an edgeedge with one O(8)Li3CrFeCo octahedra. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(4), one Li(6), one Cr(1), one Fe(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Fe(2), and one Fe(3) atom to form OLi3CrFe2 octahedra that share edges with two equivalent O(11)Li3CrFeCo octahedra, edges with two equivalent O(12)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(6), one Cr(1), one Fe(1), and one Co(3) atom. is represented by the CIF file [CIF]
data_Li10Cr2Fe3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.987
_cell_length_b   5.971
_cell_length_c   9.846
_cell_angle_alpha   89.974
_cell_angle_beta   90.066
_cell_angle_gamma   119.949
_symmetry_Int_Tables_number   1
_cell_volume   304.990
_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  0.192  0.801  0.046  1.0
  Li  Li1  1  0.600  0.797  0.048  1.0
  Li  Li2  1  0.333  0.674  0.269  1.0
  Li  Li3  1  0.992  0.001  0.977  1.0
  Li  Li4  1  0.993  0.010  0.479  1.0
  Li  Li5  1  0.188  0.386  0.050  1.0
  Li  Li6  1  0.808  0.620  0.551  1.0
  Li  Li7  1  0.796  0.201  0.547  1.0
  Li  Li8  1  0.386  0.188  0.551  1.0
  Li  Li9  1  0.662  0.339  0.769  1.0
  Cr  Cr10  1  0.658  0.340  0.023  1.0
  Cr  Cr11  1  0.334  0.677  0.523  1.0
  Fe  Fe12  1  0.163  0.341  0.779  1.0
  Fe  Fe13  1  0.334  0.177  0.281  1.0
  Fe  Fe14  1  0.828  0.179  0.278  1.0
  Co  Co15  1  0.165  0.835  0.781  1.0
  Co  Co16  1  0.829  0.673  0.282  1.0
  Co  Co17  1  0.654  0.836  0.781  1.0
  O  O18  1  0.176  0.856  0.409  1.0
  O  O19  1  0.497  0.981  0.656  1.0
  O  O20  1  0.328  0.663  0.900  1.0
  O  O21  1  0.019  0.511  0.652  1.0
  O  O22  1  0.993  0.007  0.669  1.0
  O  O23  1  0.001  0.017  0.169  1.0
  O  O24  1  0.662  0.853  0.403  1.0
  O  O25  1  0.483  0.511  0.653  1.0
  O  O26  1  0.810  0.669  0.903  1.0
  O  O27  1  0.163  0.345  0.398  1.0
  O  O28  1  0.499  0.487  0.154  1.0
  O  O29  1  0.972  0.489  0.150  1.0
  O  O30  1  0.660  0.335  0.399  1.0
  O  O31  1  0.326  0.176  0.904  1.0
  O  O32  1  0.505  0.025  0.154  1.0
  O  O33  1  0.827  0.173  0.899  1.0
[/CIF]
.
The material structure described by Li10Cr2Fe3Co3O16 crystallizes in the triclinic P1 space group. There are ten inequivalent Li sites. In the first Li site, Li(1) is bonded in a 3-coordinate geometry to one O(12), one O(14), one O(15), one O(3), one O(6), and one O(9) atom. In the second Li site, Li(2) is bonded in a 6-coordinate geometry to one O(11), one O(15), one O(16), one O(3), one O(6), and one O(9) atom. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(11), one O(12), one O(15), and one O(7) atom to form LiO6 octahedra that share corners with three equivalent Cr(1)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  a faceface with one Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-8°. In the fourth Li site, Li(4) is bonded to one O(14), one O(16), one O(6), and one O(9) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(2)O6 octahedra,  a cornercorner with one Fe(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 13-60°. In the fifth Li site, Li(5) is bonded to one O(1), one O(10), one O(5), and one O(7) atom to form LiO4 tetrahedra that share  a cornercorner with one Fe(1)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra, and  an edgeedge with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 12-61°. In the sixth Li site, Li(6) is bonded in a 6-coordinate geometry to one O(11), one O(12), one O(14), one O(16), one O(3), and one O(6) atom. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(13), one O(4), one O(5), one O(7), and one O(8) atom. In the eighth Li site, Li(8) is bonded in a 3-coordinate geometry to one O(10), one O(13), one O(2), one O(4), one O(5), and one O(7) atom. In the ninth Li site, Li(9) is bonded in a 6-coordinate geometry to one O(1), one O(10), one O(13), one O(2), one O(5), and one O(8) atom. In the tenth Li site, Li(10) is bonded to one O(14), one O(16), one O(2), one O(4), one O(8), and one O(9) atom to form LiO6 octahedra that share corners with three equivalent Cr(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  a faceface with one Cr(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-10°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(11), one O(12), one O(14), one O(15), one O(16), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Fe(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Fe(2)O6 octahedra,  an edgeedge with one Fe(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  a faceface with one Li(10)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-53°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(2), one O(4), one O(7), and one O(8) atom to form CrO6 octahedra that share corners with two equivalent Fe(2)O6 octahedra, corners with two equivalent Fe(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Li(10)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra,  an edgeedge with one Fe(1)O6 octahedra,  an edgeedge with one Co(1)O6 octahedra,  an edgeedge with one Co(3)O6 octahedra, and  a faceface with one Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 6-52°. There are three inequivalent Fe sites. In the first Fe site, Fe(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(5), and one O(8) atom to form FeO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(4)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. In the second Fe site, Fe(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(6) atom to form FeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 47-50°. In the third Fe site, Fe(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(6), and one O(7) atom to form FeO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-48°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(5), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-53°. In the second Co site, Co(2) is bonded to one O(1), one O(11), one O(12), one O(13), one O(6), and one O(7) atom to form CoO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Fe(2)O6 octahedra, edges with two equivalent Fe(3)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the third Co site, Co(3) is bonded to one O(16), one O(2), one O(3), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Cr(2)O6 octahedra, edges with two equivalent Li(10)O6 octahedra, edges with two equivalent Fe(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(4)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-50°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(7), one Li(9), one Cr(2), one Fe(2), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(10), one Li(8), one Li(9), one Cr(2), one Co(1), and one Co(3) atom to form OLi3CrCo2 octahedra that share edges with two equivalent O(4)Li3CrFeCo octahedra, edges with two equivalent O(8)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(6), one Fe(1), one Co(1), and one Co(3) atom to form distorted OLi3FeCo2 pentagonal pyramids that share  an edgeedge with one O(2)Li3CrCo2 octahedra,  an edgeedge with one O(15)Li3CrFe2 octahedra,  an edgeedge with one O(11)Li3CrFeCo octahedra,  an edgeedge with one O(12)Li3CrFeCo octahedra,  an edgeedge with one O(4)Li3CrFeCo octahedra, and  an edgeedge with one O(8)Li3CrFeCo octahedra. In the fourth O site, O(4) is bonded to one Li(10), one Li(7), one Li(8), one Cr(2), one Fe(1), and one Co(1) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(2)Li3CrCo2 octahedra, edges with two equivalent O(8)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the fifth O site, O(5) is bonded in a 7-coordinate geometry to one Li(5), one Li(7), one Li(8), one Li(9), one Fe(1), one Co(1), and one Co(3) atom. In the sixth O site, O(6) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(4), one Li(6), one Fe(2), one Fe(3), and one Co(2) atom. In the seventh O site, O(7) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(7), one Li(8), one Cr(2), one Fe(3), and one Co(2) atom. In the eighth O site, O(8) is bonded to one Li(10), one Li(7), one Li(9), one Cr(2), one Fe(1), and one Co(3) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(2)Li3CrCo2 octahedra, edges with two equivalent O(4)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the ninth O site, O(9) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(2), one Li(4), one Cr(1), one Co(1), and one Co(3) atom. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(3), one Li(5), one Li(8), one Li(9), one Cr(2), one Fe(2), and one Fe(3) atom. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(6), one Cr(1), one Fe(2), and one Co(2) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(15)Li3CrFe2 octahedra, edges with two equivalent O(12)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Li(3), one Li(6), one Cr(1), one Fe(3), and one Co(2) atom to form OLi3CrFeCo octahedra that share edges with two equivalent O(15)Li3CrFe2 octahedra, edges with two equivalent O(11)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the thirteenth O site, O(13) is bonded to one Li(7), one Li(8), one Li(9), one Fe(2), one Fe(3), and one Co(2) atom to form distorted OLi3Fe2Co pentagonal pyramids that share  an edgeedge with one O(2)Li3CrCo2 octahedra,  an edgeedge with one O(15)Li3CrFe2 octahedra,  an edgeedge with one O(11)Li3CrFeCo octahedra,  an edgeedge with one O(12)Li3CrFeCo octahedra,  an edgeedge with one O(4)Li3CrFeCo octahedra, and  an edgeedge with one O(8)Li3CrFeCo octahedra. In the fourteenth O site, O(14) is bonded in a 7-coordinate geometry to one Li(1), one Li(10), one Li(4), one Li(6), one Cr(1), one Fe(1), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Li(2), one Li(3), one Cr(1), one Fe(2), and one Fe(3) atom to form OLi3CrFe2 octahedra that share edges with two equivalent O(11)Li3CrFeCo octahedra, edges with two equivalent O(12)Li3CrFeCo octahedra,  an edgeedge with one O(13)Li3Fe2Co pentagonal pyramid, and  an edgeedge with one O(3)Li3FeCo2 pentagonal pyramid. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(10), one Li(2), one Li(4), one Li(6), one Cr(1), one Fe(1), and one Co(3) atom. is represented by the CIF file [CIF]
data_Li10Cr2Fe3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.987
_cell_length_b   5.971
_cell_length_c   9.846
_cell_angle_alpha   89.974
_cell_angle_beta   90.066
_cell_angle_gamma   119.949
_symmetry_Int_Tables_number   1
_cell_volume   304.990
_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  0.192  0.801  0.046  1.0
  Li  Li1  1  0.600  0.797  0.048  1.0
  Li  Li2  1  0.333  0.674  0.269  1.0
  Li  Li3  1  0.992  0.001  0.977  1.0
  Li  Li4  1  0.993  0.010  0.479  1.0
  Li  Li5  1  0.188  0.386  0.050  1.0
  Li  Li6  1  0.808  0.620  0.551  1.0
  Li  Li7  1  0.796  0.201  0.547  1.0
  Li  Li8  1  0.386  0.188  0.551  1.0
  Li  Li9  1  0.662  0.339  0.769  1.0
  Cr  Cr10  1  0.658  0.340  0.023  1.0
  Cr  Cr11  1  0.334  0.677  0.523  1.0
  Fe  Fe12  1  0.163  0.341  0.779  1.0
  Fe  Fe13  1  0.334  0.177  0.281  1.0
  Fe  Fe14  1  0.828  0.179  0.278  1.0
  Co  Co15  1  0.165  0.835  0.781  1.0
  Co  Co16  1  0.829  0.673  0.282  1.0
  Co  Co17  1  0.654  0.836  0.781  1.0
  O  O18  1  0.176  0.856  0.409  1.0
  O  O19  1  0.497  0.981  0.656  1.0
  O  O20  1  0.328  0.663  0.900  1.0
  O  O21  1  0.019  0.511  0.652  1.0
  O  O22  1  0.993  0.007  0.669  1.0
  O  O23  1  0.001  0.017  0.169  1.0
  O  O24  1  0.662  0.853  0.403  1.0
  O  O25  1  0.483  0.511  0.653  1.0
  O  O26  1  0.810  0.669  0.903  1.0
  O  O27  1  0.163  0.345  0.398  1.0
  O  O28  1  0.499  0.487  0.154  1.0
  O  O29  1  0.972  0.489  0.150  1.0
  O  O30  1  0.660  0.335  0.399  1.0
  O  O31  1  0.326  0.176  0.904  1.0
  O  O32  1  0.505  0.025  0.154  1.0
  O  O33  1  0.827  0.173  0.899  1.0
[/CIF]
.