The compound described by Li4Nb2Cr3Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. In the second Li site, Li(2) is bonded to one O(4), one O(5), and two equivalent O(12) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. In the third Li site, Li(3) is bonded to one O(3), one O(6), and two equivalent O(9) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-62°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form NbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-54°. In the second Nb site, Nb(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form NbO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Nb(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 Nb(2)O6 octahedra, edges with four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(4), one O(6), one O(7), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Nb(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 Nb(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Co site, Co(2) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form CoO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one Nb(1), and two equivalent Cr(2) atoms to form distorted OLiNbCr2 tetrahedra that share corners with two equivalent O(3)LiCr2Co tetrahedra, corners with two equivalent O(10)LiNbCrCo tetrahedra, edges with two equivalent O(10)LiNbCrCo tetrahedra, and  an edgeedge with one O(2)LiCr2Co trigonal pyramid. In the second O site, O(2) is bonded to one Li(1), two equivalent Cr(2), and one Co(2) atom to form distorted OLiCr2Co trigonal pyramids that share corners with two equivalent O(11)LiNbCrCo tetrahedra, corners with three equivalent O(3)LiCr2Co tetrahedra,  an edgeedge with one O(1)LiNbCr2 tetrahedra, and edges with two equivalent O(10)LiNbCrCo tetrahedra. In the third O site, O(3) is bonded to one Li(3), two equivalent Cr(2), and one Co(2) atom to form OLiCr2Co tetrahedra that share corners with two equivalent O(1)LiNbCr2 tetrahedra, corners with four equivalent O(10)LiNbCrCo tetrahedra, and corners with three equivalent O(2)LiCr2Co trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(2), one Cr(1), and two equivalent Co(1) atoms to form corner-sharing OLiCrCo2 tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), and two equivalent Cr(2) atoms. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Nb(1), and two equivalent Co(1) atoms. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(1), and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Nb(2), and two equivalent Co(1) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Nb(1), one Cr(1), and one Co(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Nb(1), one Cr(2), and one Co(2) atom to form distorted OLiNbCrCo tetrahedra that share  a cornercorner with one O(1)LiNbCr2 tetrahedra,  a cornercorner with one O(10)LiNbCrCo tetrahedra, corners with two equivalent O(3)LiCr2Co tetrahedra,  an edgeedge with one O(1)LiNbCr2 tetrahedra,  an edgeedge with one O(10)LiNbCrCo tetrahedra, and  an edgeedge with one O(2)LiCr2Co trigonal pyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Nb(2), one Cr(1), and one Co(1) atom to form distorted OLiNbCrCo tetrahedra that share  a cornercorner with one O(11)LiNbCrCo tetrahedra, corners with two equivalent O(4)LiCrCo2 tetrahedra,  a cornercorner with one O(2)LiCr2Co trigonal pyramid, and  an edgeedge with one O(11)LiNbCrCo tetrahedra. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Cr(2), and one Co(2) atom. is represented by the CIF card [CIF]
data_Li4Nb2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.936
_cell_length_b   5.937
_cell_length_c   9.661
_cell_angle_alpha   89.993
_cell_angle_beta   89.993
_cell_angle_gamma   60.054
_symmetry_Int_Tables_number   1
_cell_volume   295.010
_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  0.669  0.669  0.903  1.0
  Li  Li1  1  0.994  0.994  0.993  1.0
  Li  Li2  1  0.995  0.995  0.492  1.0
  Li  Li3  1  0.336  0.336  0.396  1.0
  Nb  Nb4  1  0.668  0.668  0.492  1.0
  Nb  Nb5  1  0.333  0.333  0.998  1.0
  Cr  Cr6  1  0.171  0.171  0.713  1.0
  Cr  Cr7  1  0.340  0.830  0.216  1.0
  Cr  Cr8  1  0.830  0.340  0.216  1.0
  Co  Co9  1  0.171  0.658  0.719  1.0
  Co  Co10  1  0.658  0.171  0.719  1.0
  Co  Co11  1  0.829  0.829  0.215  1.0
  O  O12  1  0.520  0.520  0.340  1.0
  O  O13  1  0.670  0.671  0.111  1.0
  O  O14  1  0.995  0.995  0.307  1.0
  O  O15  1  0.996  0.996  0.803  1.0
  O  O16  1  0.163  0.163  0.093  1.0
  O  O17  1  0.832  0.832  0.592  1.0
  O  O18  1  0.342  0.342  0.611  1.0
  O  O19  1  0.481  0.481  0.849  1.0
  O  O20  1  0.333  0.844  0.590  1.0
  O  O21  1  0.844  0.333  0.590  1.0
  O  O22  1  0.527  0.962  0.336  1.0
  O  O23  1  0.962  0.527  0.336  1.0
  O  O24  1  0.038  0.476  0.843  1.0
  O  O25  1  0.476  0.038  0.843  1.0
  O  O26  1  0.160  0.667  0.096  1.0
  O  O27  1  0.667  0.160  0.096  1.0
[/CIF]
.
The compound described by Li4Nb2Cr3Co3O16 is Spinel-derived structured and crystallizes in the monoclinic Cm space group. There are four inequivalent Li sites. In the first Li site, Li(1) is bonded to one O(2), one O(8), and two equivalent O(11) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra, and corners with four equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-62°. In the second Li site, Li(2) is bonded to one O(4), one O(5), and two equivalent O(12) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with three equivalent Nb(2)O6 octahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-65°. In the third Li site, Li(3) is bonded to one O(3), one O(6), and two equivalent O(9) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(2)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-64°. In the fourth Li site, Li(4) is bonded to one O(1), one O(7), and two equivalent O(10) atoms to form LiO4 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Nb(1)O6 octahedra, and corners with four equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-62°. There are two inequivalent Nb sites. In the first Nb site, Nb(1) is bonded to one O(1), one O(6), two equivalent O(10), and two equivalent O(9) atoms to form NbO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with four equivalent Co(1)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(2)O6 octahedra, and edges with two equivalent Cr(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-54°. In the second Nb site, Nb(2) is bonded to one O(5), one O(8), two equivalent O(11), and two equivalent O(12) atoms to form NbO6 octahedra that share corners with two equivalent Co(2)O6 octahedra, corners with four equivalent Cr(2)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-53°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(4), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Nb(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 Nb(2)O6 octahedra, edges with four equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 49°. In the second Cr site, Cr(2) is bonded to one O(1), one O(10), one O(12), one O(2), one O(3), and one O(5) atom to form CrO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(11), one O(4), one O(6), one O(7), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Nb(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 Nb(2)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Co(1)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-54°. In the second Co site, Co(2) is bonded to one O(2), one O(3), two equivalent O(10), and two equivalent O(12) atoms to form CoO6 octahedra that share corners with two equivalent Nb(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra,  a cornercorner with one Li(3)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Nb(1)O6 octahedra, edges with four equivalent Cr(2)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded to one Li(4), one Nb(1), and two equivalent Cr(2) atoms to form distorted OLiNbCr2 tetrahedra that share corners with two equivalent O(3)LiCr2Co tetrahedra, corners with two equivalent O(10)LiNbCrCo tetrahedra, edges with two equivalent O(10)LiNbCrCo tetrahedra, and  an edgeedge with one O(2)LiCr2Co trigonal pyramid. In the second O site, O(2) is bonded to one Li(1), two equivalent Cr(2), and one Co(2) atom to form distorted OLiCr2Co trigonal pyramids that share corners with two equivalent O(11)LiNbCrCo tetrahedra, corners with three equivalent O(3)LiCr2Co tetrahedra,  an edgeedge with one O(1)LiNbCr2 tetrahedra, and edges with two equivalent O(10)LiNbCrCo tetrahedra. In the third O site, O(3) is bonded to one Li(3), two equivalent Cr(2), and one Co(2) atom to form OLiCr2Co tetrahedra that share corners with two equivalent O(1)LiNbCr2 tetrahedra, corners with four equivalent O(10)LiNbCrCo tetrahedra, and corners with three equivalent O(2)LiCr2Co trigonal pyramids. In the fourth O site, O(4) is bonded to one Li(2), one Cr(1), and two equivalent Co(1) atoms to form corner-sharing OLiCrCo2 tetrahedra. In the fifth O site, O(5) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), and two equivalent Cr(2) atoms. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Nb(1), and two equivalent Co(1) atoms. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(1), and two equivalent Co(1) atoms. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Nb(2), and two equivalent Co(1) atoms. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(3), one Nb(1), one Cr(1), and one Co(1) atom. In the tenth O site, O(10) is bonded to one Li(4), one Nb(1), one Cr(2), and one Co(2) atom to form distorted OLiNbCrCo tetrahedra that share  a cornercorner with one O(1)LiNbCr2 tetrahedra,  a cornercorner with one O(10)LiNbCrCo tetrahedra, corners with two equivalent O(3)LiCr2Co tetrahedra,  an edgeedge with one O(1)LiNbCr2 tetrahedra,  an edgeedge with one O(10)LiNbCrCo tetrahedra, and  an edgeedge with one O(2)LiCr2Co trigonal pyramid. In the eleventh O site, O(11) is bonded to one Li(1), one Nb(2), one Cr(1), and one Co(1) atom to form distorted OLiNbCrCo tetrahedra that share  a cornercorner with one O(11)LiNbCrCo tetrahedra, corners with two equivalent O(4)LiCrCo2 tetrahedra,  a cornercorner with one O(2)LiCr2Co trigonal pyramid, and  an edgeedge with one O(11)LiNbCrCo tetrahedra. In the twelfth O site, O(12) is bonded in a rectangular see-saw-like geometry to one Li(2), one Nb(2), one Cr(2), and one Co(2) atom. is represented by the CIF card [CIF]
data_Li4Nb2Cr3Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.936
_cell_length_b   5.937
_cell_length_c   9.661
_cell_angle_alpha   89.993
_cell_angle_beta   89.993
_cell_angle_gamma   60.054
_symmetry_Int_Tables_number   1
_cell_volume   295.010
_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  0.669  0.669  0.903  1.0
  Li  Li1  1  0.994  0.994  0.993  1.0
  Li  Li2  1  0.995  0.995  0.492  1.0
  Li  Li3  1  0.336  0.336  0.396  1.0
  Nb  Nb4  1  0.668  0.668  0.492  1.0
  Nb  Nb5  1  0.333  0.333  0.998  1.0
  Cr  Cr6  1  0.171  0.171  0.713  1.0
  Cr  Cr7  1  0.340  0.830  0.216  1.0
  Cr  Cr8  1  0.830  0.340  0.216  1.0
  Co  Co9  1  0.171  0.658  0.719  1.0
  Co  Co10  1  0.658  0.171  0.719  1.0
  Co  Co11  1  0.829  0.829  0.215  1.0
  O  O12  1  0.520  0.520  0.340  1.0
  O  O13  1  0.670  0.671  0.111  1.0
  O  O14  1  0.995  0.995  0.307  1.0
  O  O15  1  0.996  0.996  0.803  1.0
  O  O16  1  0.163  0.163  0.093  1.0
  O  O17  1  0.832  0.832  0.592  1.0
  O  O18  1  0.342  0.342  0.611  1.0
  O  O19  1  0.481  0.481  0.849  1.0
  O  O20  1  0.333  0.844  0.590  1.0
  O  O21  1  0.844  0.333  0.590  1.0
  O  O22  1  0.527  0.962  0.336  1.0
  O  O23  1  0.962  0.527  0.336  1.0
  O  O24  1  0.038  0.476  0.843  1.0
  O  O25  1  0.476  0.038  0.843  1.0
  O  O26  1  0.160  0.667  0.096  1.0
  O  O27  1  0.667  0.160  0.096  1.0
[/CIF]
.