The structure described by Li10Cr3Co2Ni3O16 crystallizes in the triclinic P1 space group. There are ten 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(15), one O(16), one O(3), and one O(9) atom. In the second Li site, Li(2) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(13), one O(14), one O(16), and one O(3) atom. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(14), one O(4), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  a faceface with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(11), one O(13), one O(15), one O(16), one O(3), and one O(9) atom. In the fifth Li site, Li(5) is bonded to one O(10), one O(13), one O(15), and one O(16) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with three equivalent Li(9)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-64°. In the sixth Li site, Li(6) is bonded to one O(1), one O(4), one O(6), and one O(8) 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 Ni(1)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-59°. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(2), one O(6), one O(7), and one O(8) atom. In the eighth Li site, Li(8) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(7) atom. In the ninth Li site, Li(9) is bonded to one O(10), one O(13), one O(15), one O(2), one O(5), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the tenth Li site, Li(10) is bonded in a 6-coordinate geometry to one O(12), one O(2), one O(4), one O(5), one O(6), and one O(8) atom. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(13), one O(2), one O(3), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-48°. In the second Cr site, Cr(2) is bonded to one O(10), one O(15), one O(2), one O(3), one O(6), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-50°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(16), one O(4), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-47°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra, corners with three equivalent Li(9)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-51°. In the second Co site, Co(2) is bonded to one O(10), one O(11), one O(13), one O(14), one O(15), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  a faceface with one Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-51°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(13), one O(15), one O(3), one O(5), one O(6), and one O(7) atom to form NiO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Ni site, Ni(2) is bonded to one O(1), one O(12), one O(14), one O(16), one O(8), and one O(9) atom to form NiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Ni site, Ni(3) is bonded to one O(11), one O(12), one O(14), one O(16), one O(4), and one O(8) atom to form NiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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(6), one Li(7), one Li(8), one Cr(3), one Co(1), and one Ni(2) atom. In the second O site, O(2) is bonded to one Li(10), one Li(7), one Li(9), one Cr(1), one Cr(2), and one Co(1) atom to form OLi3Cr2Co octahedra that share edges with two equivalent O(5)Li3CrCoNi octahedra, edges with two equivalent O(7)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(4), one Cr(1), one Cr(2), and one Ni(1) atom to form distorted OLi3Cr2Ni pentagonal pyramids that share  an edgeedge with one O(14)Li3CoNi2 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(11)Li3CrCoNi octahedra,  an edgeedge with one O(5)Li3CrCoNi octahedra,  an edgeedge with one O(7)Li3CrCoNi octahedra, and  an edgeedge with one O(9)Li3CrCoNi octahedra. In the fourth O site, O(4) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(6), one Li(8), one Cr(3), one Co(1), and one Ni(3) atom. In the fifth O site, O(5) is bonded to one Li(10), one Li(8), one Li(9), one Cr(1), one Co(1), and one Ni(1) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the sixth O site, O(6) is bonded in a 7-coordinate geometry to one Li(10), one Li(6), one Li(7), one Li(8), one Cr(1), one Cr(2), and one Ni(1) atom. In the seventh O site, O(7) is bonded to one Li(7), one Li(8), one Li(9), one Cr(2), one Co(1), and one Ni(1) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(5)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(6), one Li(7), one Co(1), one Ni(2), and one Ni(3) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(4), one Cr(3), one Co(2), and one Ni(2) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(14)Li3CoNi2 octahedra, edges with two equivalent O(11)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(5), one Li(9), one Cr(1), one Cr(2), and one Co(2) atom. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(4), one Cr(3), one Co(2), and one Ni(3) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(14)Li3CoNi2 octahedra, edges with two equivalent O(9)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(10), one Li(7), one Li(8), one Cr(3), one Ni(2), and one Ni(3) atom to form distorted OLi3CrNi2 pentagonal pyramids that share  an edgeedge with one O(14)Li3CoNi2 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(11)Li3CrCoNi octahedra,  an edgeedge with one O(5)Li3CrCoNi octahedra,  an edgeedge with one O(7)Li3CrCoNi octahedra, and  an edgeedge with one O(9)Li3CrCoNi octahedra. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(2), one Li(4), one Li(5), one Li(9), one Cr(1), one Co(2), and one Ni(1) atom. In the fourteenth O site, O(14) is bonded to one Li(1), one Li(2), one Li(3), one Co(2), one Ni(2), and one Ni(3) atom to form distorted OLi3CoNi2 octahedra that share edges with two equivalent O(11)Li3CrCoNi octahedra, edges with two equivalent O(9)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(9), one Cr(2), one Co(2), and one Ni(1) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(4), one Li(5), one Cr(3), one Ni(2), and one Ni(3) atom. is represented by the CIF card [CIF]
data_Li10Cr3Co2Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.874
_cell_length_b   5.884
_cell_length_c   9.623
_cell_angle_alpha   89.652
_cell_angle_beta   89.794
_cell_angle_gamma   60.502
_symmetry_Int_Tables_number   1
_cell_volume   289.484
_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  0.189  0.191  0.061  1.0
  Li  Li1  1  0.593  0.206  0.055  1.0
  Li  Li2  1  0.317  0.364  0.284  1.0
  Li  Li3  1  0.192  0.621  0.053  1.0
  Li  Li4  1  0.979  0.013  0.987  1.0
  Li  Li5  1  0.984  0.022  0.481  1.0
  Li  Li6  1  0.800  0.813  0.555  1.0
  Li  Li7  1  0.789  0.403  0.554  1.0
  Li  Li8  1  0.639  0.684  0.783  1.0
  Li  Li9  1  0.374  0.809  0.552  1.0
  Cr  Cr10  1  0.640  0.184  0.785  1.0
  Cr  Cr11  1  0.150  0.184  0.786  1.0
  Cr  Cr12  1  0.817  0.362  0.286  1.0
  Co  Co13  1  0.316  0.355  0.531  1.0
  Co  Co14  1  0.653  0.683  0.032  1.0
  Ni  Ni15  1  0.149  0.676  0.787  1.0
  Ni  Ni16  1  0.821  0.848  0.287  1.0
  Ni  Ni17  1  0.329  0.847  0.288  1.0
  O  O18  1  0.645  0.200  0.410  1.0
  O  O19  1  0.468  0.039  0.660  1.0
  O  O20  1  0.319  0.338  0.904  1.0
  O  O21  1  0.148  0.200  0.409  1.0
  O  O22  1  0.474  0.496  0.659  1.0
  O  O23  1  0.975  0.023  0.675  1.0
  O  O24  1  0.013  0.493  0.658  1.0
  O  O25  1  0.158  0.681  0.416  1.0
  O  O26  1  0.964  0.523  0.154  1.0
  O  O27  1  0.813  0.348  0.905  1.0
  O  O28  1  0.509  0.520  0.157  1.0
  O  O29  1  0.658  0.678  0.403  1.0
  O  O30  1  0.804  0.853  0.910  1.0
  O  O31  1  0.511  0.975  0.157  1.0
  O  O32  1  0.317  0.852  0.914  1.0
  O  O33  1  0.988  0.026  0.180  1.0
[/CIF]
.
The structure described by Li10Cr3Co2Ni3O16 crystallizes in the triclinic P1 space group. There are ten 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(15), one O(16), one O(3), and one O(9) atom. In the second Li site, Li(2) is bonded in a 3-coordinate geometry to one O(10), one O(11), one O(13), one O(14), one O(16), and one O(3) atom. In the third Li site, Li(3) is bonded to one O(1), one O(11), one O(14), one O(4), one O(8), and one O(9) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(2)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  a faceface with one Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the fourth Li site, Li(4) is bonded in a 3-coordinate geometry to one O(11), one O(13), one O(15), one O(16), one O(3), and one O(9) atom. In the fifth Li site, Li(5) is bonded to one O(10), one O(13), one O(15), and one O(16) atom to form LiO4 tetrahedra that share  a cornercorner with one Cr(3)O6 octahedra,  a cornercorner with one Ni(2)O6 octahedra,  a cornercorner with one Ni(3)O6 octahedra, corners with three equivalent Li(9)O6 octahedra, corners with three equivalent Co(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Ni(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 10-64°. In the sixth Li site, Li(6) is bonded to one O(1), one O(4), one O(6), and one O(8) 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 Ni(1)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Co(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra, and  an edgeedge with one Ni(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 14-59°. In the seventh Li site, Li(7) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(2), one O(6), one O(7), and one O(8) atom. In the eighth Li site, Li(8) is bonded in a 6-coordinate geometry to one O(1), one O(12), one O(4), one O(5), one O(6), and one O(7) atom. In the ninth Li site, Li(9) is bonded to one O(10), one O(13), one O(15), one O(2), one O(5), and one O(7) atom to form distorted LiO6 octahedra that share corners with three equivalent Co(1)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  a faceface with one Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-7°. In the tenth Li site, Li(10) is bonded in a 6-coordinate geometry to one O(12), one O(2), one O(4), one O(5), one O(6), and one O(8) atom. There are three inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(10), one O(13), one O(2), one O(3), one O(5), and one O(6) atom to form CrO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-48°. In the second Cr site, Cr(2) is bonded to one O(10), one O(15), one O(2), one O(3), one O(6), and one O(7) atom to form CrO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Ni(1)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-50°. In the third Cr site, Cr(3) is bonded to one O(1), one O(11), one O(12), one O(16), one O(4), and one O(9) atom to form CrO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 46-47°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(1), one O(2), one O(4), one O(5), one O(7), and one O(8) atom to form CoO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Ni(2)O6 octahedra, corners with two equivalent Ni(3)O6 octahedra, corners with three equivalent Li(9)O6 octahedra, corners with three equivalent Li(6)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra,  an edgeedge with one Ni(1)O6 octahedra, and  a faceface with one Li(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-51°. In the second Co site, Co(2) is bonded to one O(10), one O(11), one O(13), one O(14), one O(15), and one O(9) atom to form distorted CoO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Ni(1)O6 octahedra, corners with three equivalent Li(3)O6 octahedra, corners with three equivalent Li(5)O4 tetrahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Ni(2)O6 octahedra,  an edgeedge with one Ni(3)O6 octahedra, and  a faceface with one Li(9)O6 octahedra. The corner-sharing octahedral tilt angles range from 4-51°. There are three inequivalent Ni sites. In the first Ni site, Ni(1) is bonded to one O(13), one O(15), one O(3), one O(5), one O(6), and one O(7) atom to form NiO6 octahedra that share corners with two equivalent Co(2)O6 octahedra,  a cornercorner with one Li(6)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, edges with two equivalent Li(9)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(5)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-51°. In the second Ni site, Ni(2) is bonded to one O(1), one O(12), one O(14), one O(16), one O(8), and one O(9) atom to form NiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ni(3)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 49-50°. In the third Ni site, Ni(3) is bonded to one O(11), one O(12), one O(14), one O(16), one O(4), and one O(8) atom to form NiO6 octahedra that share corners with two equivalent Co(1)O6 octahedra,  a cornercorner with one Li(5)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, edges with two equivalent Li(3)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Ni(2)O6 octahedra, and  an edgeedge with one Li(6)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 48-51°. 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(6), one Li(7), one Li(8), one Cr(3), one Co(1), and one Ni(2) atom. In the second O site, O(2) is bonded to one Li(10), one Li(7), one Li(9), one Cr(1), one Cr(2), and one Co(1) atom to form OLi3Cr2Co octahedra that share edges with two equivalent O(5)Li3CrCoNi octahedra, edges with two equivalent O(7)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Li(2), one Li(4), one Cr(1), one Cr(2), and one Ni(1) atom to form distorted OLi3Cr2Ni pentagonal pyramids that share  an edgeedge with one O(14)Li3CoNi2 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(11)Li3CrCoNi octahedra,  an edgeedge with one O(5)Li3CrCoNi octahedra,  an edgeedge with one O(7)Li3CrCoNi octahedra, and  an edgeedge with one O(9)Li3CrCoNi octahedra. In the fourth O site, O(4) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(6), one Li(8), one Cr(3), one Co(1), and one Ni(3) atom. In the fifth O site, O(5) is bonded to one Li(10), one Li(8), one Li(9), one Cr(1), one Co(1), and one Ni(1) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(7)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the sixth O site, O(6) is bonded in a 7-coordinate geometry to one Li(10), one Li(6), one Li(7), one Li(8), one Cr(1), one Cr(2), and one Ni(1) atom. In the seventh O site, O(7) is bonded to one Li(7), one Li(8), one Li(9), one Cr(2), one Co(1), and one Ni(1) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(2)Li3Cr2Co octahedra, edges with two equivalent O(5)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the eighth O site, O(8) is bonded in a 7-coordinate geometry to one Li(10), one Li(3), one Li(6), one Li(7), one Co(1), one Ni(2), and one Ni(3) atom. In the ninth O site, O(9) is bonded to one Li(1), one Li(3), one Li(4), one Cr(3), one Co(2), and one Ni(2) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(14)Li3CoNi2 octahedra, edges with two equivalent O(11)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the tenth O site, O(10) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(5), one Li(9), one Cr(1), one Cr(2), and one Co(2) atom. In the eleventh O site, O(11) is bonded to one Li(2), one Li(3), one Li(4), one Cr(3), one Co(2), and one Ni(3) atom to form OLi3CrCoNi octahedra that share edges with two equivalent O(14)Li3CoNi2 octahedra, edges with two equivalent O(9)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the twelfth O site, O(12) is bonded to one Li(10), one Li(7), one Li(8), one Cr(3), one Ni(2), and one Ni(3) atom to form distorted OLi3CrNi2 pentagonal pyramids that share  an edgeedge with one O(14)Li3CoNi2 octahedra,  an edgeedge with one O(2)Li3Cr2Co octahedra,  an edgeedge with one O(11)Li3CrCoNi octahedra,  an edgeedge with one O(5)Li3CrCoNi octahedra,  an edgeedge with one O(7)Li3CrCoNi octahedra, and  an edgeedge with one O(9)Li3CrCoNi octahedra. In the thirteenth O site, O(13) is bonded in a 7-coordinate geometry to one Li(2), one Li(4), one Li(5), one Li(9), one Cr(1), one Co(2), and one Ni(1) atom. In the fourteenth O site, O(14) is bonded to one Li(1), one Li(2), one Li(3), one Co(2), one Ni(2), and one Ni(3) atom to form distorted OLi3CoNi2 octahedra that share edges with two equivalent O(11)Li3CrCoNi octahedra, edges with two equivalent O(9)Li3CrCoNi octahedra,  an edgeedge with one O(3)Li3Cr2Ni pentagonal pyramid, and  an edgeedge with one O(12)Li3CrNi2 pentagonal pyramid. In the fifteenth O site, O(15) is bonded in a 7-coordinate geometry to one Li(1), one Li(4), one Li(5), one Li(9), one Cr(2), one Co(2), and one Ni(1) atom. In the sixteenth O site, O(16) is bonded in a 7-coordinate geometry to one Li(1), one Li(2), one Li(4), one Li(5), one Cr(3), one Ni(2), and one Ni(3) atom. is represented by the CIF card [CIF]
data_Li10Cr3Co2Ni3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.874
_cell_length_b   5.884
_cell_length_c   9.623
_cell_angle_alpha   89.652
_cell_angle_beta   89.794
_cell_angle_gamma   60.502
_symmetry_Int_Tables_number   1
_cell_volume   289.484
_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  0.189  0.191  0.061  1.0
  Li  Li1  1  0.593  0.206  0.055  1.0
  Li  Li2  1  0.317  0.364  0.284  1.0
  Li  Li3  1  0.192  0.621  0.053  1.0
  Li  Li4  1  0.979  0.013  0.987  1.0
  Li  Li5  1  0.984  0.022  0.481  1.0
  Li  Li6  1  0.800  0.813  0.555  1.0
  Li  Li7  1  0.789  0.403  0.554  1.0
  Li  Li8  1  0.639  0.684  0.783  1.0
  Li  Li9  1  0.374  0.809  0.552  1.0
  Cr  Cr10  1  0.640  0.184  0.785  1.0
  Cr  Cr11  1  0.150  0.184  0.786  1.0
  Cr  Cr12  1  0.817  0.362  0.286  1.0
  Co  Co13  1  0.316  0.355  0.531  1.0
  Co  Co14  1  0.653  0.683  0.032  1.0
  Ni  Ni15  1  0.149  0.676  0.787  1.0
  Ni  Ni16  1  0.821  0.848  0.287  1.0
  Ni  Ni17  1  0.329  0.847  0.288  1.0
  O  O18  1  0.645  0.200  0.410  1.0
  O  O19  1  0.468  0.039  0.660  1.0
  O  O20  1  0.319  0.338  0.904  1.0
  O  O21  1  0.148  0.200  0.409  1.0
  O  O22  1  0.474  0.496  0.659  1.0
  O  O23  1  0.975  0.023  0.675  1.0
  O  O24  1  0.013  0.493  0.658  1.0
  O  O25  1  0.158  0.681  0.416  1.0
  O  O26  1  0.964  0.523  0.154  1.0
  O  O27  1  0.813  0.348  0.905  1.0
  O  O28  1  0.509  0.520  0.157  1.0
  O  O29  1  0.658  0.678  0.403  1.0
  O  O30  1  0.804  0.853  0.910  1.0
  O  O31  1  0.511  0.975  0.157  1.0
  O  O32  1  0.317  0.852  0.914  1.0
  O  O33  1  0.988  0.026  0.180  1.0
[/CIF]
.