The material structure described by Li4Cr3Mn2Co3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-64°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-67°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the second Cr site, Cr(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the second Mn site, Mn(2) 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 MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 49-51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Cr(2), and one Mn(1) atom. In the third O site, O(3) is bonded to one Li(1), one Cr(1), one Cr(2), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(11)LiMnCrCo tetrahedra,  a cornercorner with one O(12)LiMnCrCo tetrahedra, corners with three equivalent O(4)LiCr2Co tetrahedra, and  a cornercorner with one O(15)LiMnCo2 trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Co(1) atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share corners with two equivalent O(11)LiMnCrCo tetrahedra, corners with two equivalent O(12)LiMnCrCo tetrahedra, and corners with two equivalent O(15)LiMnCo2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(1), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Mn(1), and one Co(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(2), one Mn(1), and one Co(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(3), one Mn(2), and one Co(2) atom to form distorted OLiMnCrCo tetrahedra that share  a cornercorner with one O(12)LiMnCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(3)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiMnCo2 trigonal pyramid,  an edgeedge with one O(12)LiMnCrCo tetrahedra, and  an edgeedge with one O(15)LiMnCo2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Mn(2), and one Co(3) atom to form distorted OLiMnCrCo tetrahedra that share  a cornercorner with one O(11)LiMnCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(3)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiMnCo2 trigonal pyramid,  an edgeedge with one O(11)LiMnCrCo tetrahedra, and  an edgeedge with one O(15)LiMnCo2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(3), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Co(2), and one Co(3) atom to form distorted OLiMnCo2 trigonal pyramids that share  a cornercorner with one O(11)LiMnCrCo tetrahedra,  a cornercorner with one O(12)LiMnCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(3)LiCr2Co trigonal pyramid,  an edgeedge with one O(11)LiMnCrCo tetrahedra, and  an edgeedge with one O(12)LiMnCrCo tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(2), and one Co(1) atom. is represented by the CIF file [CIF]
data_Li4Mn2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.830
_cell_length_b   5.841
_cell_length_c   9.423
_cell_angle_alpha   90.764
_cell_angle_beta   89.686
_cell_angle_gamma   119.515
_symmetry_Int_Tables_number   1
_cell_volume   279.206
_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  0.667  0.325  0.895  1.0
  Li  Li1  1  0.997  0.008  0.994  1.0
  Li  Li2  1  0.994  0.004  0.495  1.0
  Li  Li3  1  0.335  0.665  0.400  1.0
  Mn  Mn4  1  0.670  0.341  0.483  1.0
  Mn  Mn5  1  0.332  0.665  0.984  1.0
  Cr  Cr6  1  0.832  0.659  0.212  1.0
  Cr  Cr7  1  0.341  0.168  0.212  1.0
  Cr  Cr8  1  0.171  0.829  0.714  1.0
  Co  Co9  1  0.832  0.168  0.212  1.0
  Co  Co10  1  0.665  0.833  0.712  1.0
  Co  Co11  1  0.173  0.339  0.712  1.0
  O  O12  1  0.830  0.671  0.597  1.0
  O  O13  1  0.521  0.480  0.344  1.0
  O  O14  1  0.671  0.329  0.106  1.0
  O  O15  1  0.998  0.003  0.307  1.0
  O  O16  1  0.004  0.013  0.806  1.0
  O  O17  1  0.326  0.171  0.600  1.0
  O  O18  1  0.959  0.477  0.347  1.0
  O  O19  1  0.524  0.041  0.348  1.0
  O  O20  1  0.164  0.834  0.092  1.0
  O  O21  1  0.840  0.177  0.606  1.0
  O  O22  1  0.481  0.954  0.845  1.0
  O  O23  1  0.042  0.512  0.839  1.0
  O  O24  1  0.331  0.654  0.608  1.0
  O  O25  1  0.664  0.835  0.097  1.0
  O  O26  1  0.470  0.508  0.841  1.0
  O  O27  1  0.165  0.337  0.099  1.0
[/CIF]
.
The material structure described by Li4Cr3Mn2Co3O16 is Spinel-derived structured and crystallizes in the triclinic P1 space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(11), one O(12), one O(15), and one O(3) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, and corners with three equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. In the second Li site, Li(2) is bonded to one O(14), one O(16), one O(5), and one O(9) atom to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-64°. In the third Li site, Li(3) is bonded to one O(1), one O(10), one O(4), and one O(6) atom to form distorted LiO4 trigonal pyramids that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Co(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 62-67°. In the fourth Li site, Li(4) is bonded to one O(13), one O(2), one O(7), and one O(8) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Co(2)O6 octahedra,  a cornercorner with one Co(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, and corners with three equivalent Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(14), one O(2), one O(3), one O(4), one O(7), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 52°. In the second Cr site, Cr(2) is bonded to one O(16), one O(2), one O(3), one O(4), one O(8), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(13), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(1), one O(10), one O(2), one O(6), one O(7), and one O(8) atom to form MnO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with two equivalent Co(3)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra, corners with three equivalent Li(3)O4 trigonal pyramids,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-52°. In the second Mn site, Mn(2) 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 MnO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and  an edgeedge with one Co(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-52°. There are three inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(14), one O(16), one O(3), one O(4), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Mn(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  a cornercorner with one Li(3)O4 trigonal pyramid,  an edgeedge with one Mn(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-49°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(11), one O(13), one O(15), and one O(5) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(3)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 50-51°. In the third Co site, Co(3) is bonded to one O(10), one O(12), one O(13), one O(15), one O(5), and one O(6) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  a cornercorner with one Li(2)O4 tetrahedra,  a cornercorner with one Li(4)O4 tetrahedra, corners with two equivalent Li(1)O4 tetrahedra,  an edgeedge with one Mn(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 trigonal pyramid. The corner-sharing octahedral tilt angles range from 49-51°. There are sixteen inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Cr(2), and one Mn(1) atom. In the third O site, O(3) is bonded to one Li(1), one Cr(1), one Cr(2), and one Co(1) atom to form distorted OLiCr2Co trigonal pyramids that share  a cornercorner with one O(11)LiMnCrCo tetrahedra,  a cornercorner with one O(12)LiMnCrCo tetrahedra, corners with three equivalent O(4)LiCr2Co tetrahedra, and  a cornercorner with one O(15)LiMnCo2 trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Co(1) atom to form corner-sharing OLiCr2Co tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Co(2), and one Co(3) atom to form distorted OLiCrCo2 tetrahedra that share corners with two equivalent O(11)LiMnCrCo tetrahedra, corners with two equivalent O(12)LiMnCrCo tetrahedra, and corners with two equivalent O(15)LiMnCo2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(3), one Mn(1), and one Co(3) atom. In the seventh O site, O(7) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Mn(1), and one Co(1) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(2), one Mn(1), and one Co(1) atom. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Cr(2), and one Mn(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(1), one Co(2), and one Co(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Cr(3), one Mn(2), and one Co(2) atom to form distorted OLiMnCrCo tetrahedra that share  a cornercorner with one O(12)LiMnCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(3)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiMnCo2 trigonal pyramid,  an edgeedge with one O(12)LiMnCrCo tetrahedra, and  an edgeedge with one O(15)LiMnCo2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(3), one Mn(2), and one Co(3) atom to form distorted OLiMnCrCo tetrahedra that share  a cornercorner with one O(11)LiMnCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(3)LiCr2Co trigonal pyramid,  a cornercorner with one O(15)LiMnCo2 trigonal pyramid,  an edgeedge with one O(11)LiMnCrCo tetrahedra, and  an edgeedge with one O(15)LiMnCo2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(3), one Co(2), and one Co(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(1), one Mn(2), and one Co(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Mn(2), one Co(2), and one Co(3) atom to form distorted OLiMnCo2 trigonal pyramids that share  a cornercorner with one O(11)LiMnCrCo tetrahedra,  a cornercorner with one O(12)LiMnCrCo tetrahedra, corners with two equivalent O(5)LiCrCo2 tetrahedra,  a cornercorner with one O(3)LiCr2Co trigonal pyramid,  an edgeedge with one O(11)LiMnCrCo tetrahedra, and  an edgeedge with one O(12)LiMnCrCo tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(2), and one Co(1) atom. is represented by the CIF file [CIF]
data_Li4Mn2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.830
_cell_length_b   5.841
_cell_length_c   9.423
_cell_angle_alpha   90.764
_cell_angle_beta   89.686
_cell_angle_gamma   119.515
_symmetry_Int_Tables_number   1
_cell_volume   279.206
_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  0.667  0.325  0.895  1.0
  Li  Li1  1  0.997  0.008  0.994  1.0
  Li  Li2  1  0.994  0.004  0.495  1.0
  Li  Li3  1  0.335  0.665  0.400  1.0
  Mn  Mn4  1  0.670  0.341  0.483  1.0
  Mn  Mn5  1  0.332  0.665  0.984  1.0
  Cr  Cr6  1  0.832  0.659  0.212  1.0
  Cr  Cr7  1  0.341  0.168  0.212  1.0
  Cr  Cr8  1  0.171  0.829  0.714  1.0
  Co  Co9  1  0.832  0.168  0.212  1.0
  Co  Co10  1  0.665  0.833  0.712  1.0
  Co  Co11  1  0.173  0.339  0.712  1.0
  O  O12  1  0.830  0.671  0.597  1.0
  O  O13  1  0.521  0.480  0.344  1.0
  O  O14  1  0.671  0.329  0.106  1.0
  O  O15  1  0.998  0.003  0.307  1.0
  O  O16  1  0.004  0.013  0.806  1.0
  O  O17  1  0.326  0.171  0.600  1.0
  O  O18  1  0.959  0.477  0.347  1.0
  O  O19  1  0.524  0.041  0.348  1.0
  O  O20  1  0.164  0.834  0.092  1.0
  O  O21  1  0.840  0.177  0.606  1.0
  O  O22  1  0.481  0.954  0.845  1.0
  O  O23  1  0.042  0.512  0.839  1.0
  O  O24  1  0.331  0.654  0.608  1.0
  O  O25  1  0.664  0.835  0.097  1.0
  O  O26  1  0.470  0.508  0.841  1.0
  O  O27  1  0.165  0.337  0.099  1.0
[/CIF]
.