The compound described by Li4Ti3Mn2Co3O16 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(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-64°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  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 four equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  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 Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(2), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(1), and one Mn(1) atom to form distorted OLiTi2Mn tetrahedra that share corners with two equivalent O(4)LiTi2Co tetrahedra, corners with two equivalent O(6)LiTiMnCo tetrahedra, and edges with two equivalent O(6)LiTiMnCo tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(1), and one Co(1) atom to form distorted OLiTi2Co tetrahedra that share corners with two equivalent O(2)LiTi2Mn tetrahedra and corners with four equivalent O(6)LiTiMnCo tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent Co(2) atoms to form corner-sharing OLiTiCo2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one Mn(1), and one Co(1) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(2)LiTi2Mn tetrahedra,  a cornercorner with one O(6)LiTiMnCo tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  an edgeedge with one O(2)LiTi2Mn tetrahedra, and  an edgeedge with one O(6)LiTiMnCo tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(1), and one Mn(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(1), and two equivalent Co(2) atoms. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(2), one Mn(2), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent Co(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Mn(2), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Mn(2), and two equivalent Co(2) atoms to form distorted corner-sharing OLiMnCo2 tetrahedra. is represented by the CIF file [CIF]
data_Li4Ti3Mn2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.771
_cell_length_b   5.771
_cell_length_c   9.506
_cell_angle_alpha   89.316
_cell_angle_beta   89.316
_cell_angle_gamma   60.502
_symmetry_Int_Tables_number   1
_cell_volume   275.502
_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  0.327  0.327  0.888  1.0
  Li  Li1  1  0.018  0.018  0.990  1.0
  Li  Li2  1  0.009  0.009  0.500  1.0
  Li  Li3  1  0.663  0.663  0.402  1.0
  Ti  Ti4  1  0.168  0.667  0.214  1.0
  Ti  Ti5  1  0.667  0.168  0.214  1.0
  Ti  Ti6  1  0.825  0.825  0.715  1.0
  Mn  Mn7  1  0.332  0.332  0.491  1.0
  Mn  Mn8  1  0.660  0.660  0.982  1.0
  Co  Co9  1  0.176  0.176  0.217  1.0
  Co  Co10  1  0.340  0.824  0.710  1.0
  Co  Co11  1  0.824  0.340  0.710  1.0
  O  O12  1  0.163  0.667  0.597  1.0
  O  O13  1  0.480  0.480  0.344  1.0
  O  O14  1  0.340  0.340  0.103  1.0
  O  O15  1  0.007  0.007  0.314  1.0
  O  O16  1  0.999  0.999  0.804  1.0
  O  O17  1  0.667  0.163  0.597  1.0
  O  O18  1  0.041  0.477  0.345  1.0
  O  O19  1  0.477  0.041  0.345  1.0
  O  O20  1  0.842  0.842  0.108  1.0
  O  O21  1  0.167  0.167  0.601  1.0
  O  O22  1  0.511  0.954  0.840  1.0
  O  O23  1  0.954  0.511  0.840  1.0
  O  O24  1  0.664  0.664  0.603  1.0
  O  O25  1  0.332  0.840  0.106  1.0
  O  O26  1  0.508  0.508  0.822  1.0
  O  O27  1  0.840  0.332  0.106  1.0
[/CIF]
.
The compound described by Li4Ti3Mn2Co3O16 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(12), one O(3), and two equivalent O(9) atoms to form LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with two equivalent Ti(2)O6 octahedra, corners with three equivalent Mn(2)O6 octahedra, and corners with four equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-64°. In the second Li site, Li(2) is bonded in a rectangular see-saw-like geometry to one O(5), one O(7), and two equivalent O(11) atoms. In the third Li site, Li(3) is bonded to one O(4), one O(8), and two equivalent O(1) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Co(1)O6 octahedra, corners with two equivalent Ti(1)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 59-64°. In the fourth Li site, Li(4) is bonded to one O(10), one O(2), and two equivalent O(6) atoms to form LiO4 tetrahedra that share  a cornercorner with one Ti(2)O6 octahedra, corners with two equivalent Co(1)O6 octahedra, corners with two equivalent Co(2)O6 octahedra, corners with three equivalent Mn(1)O6 octahedra, and corners with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 55-62°. There are two inequivalent Ti sites. In the first Ti site, Ti(1) is bonded to one O(11), one O(2), one O(3), one O(4), one O(6), and one O(7) atom to form TiO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, edges with two equivalent Ti(1)O6 octahedra, and edges with two equivalent Co(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 52-53°. In the second Ti site, Ti(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form TiO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  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 four equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Ti(2)O6 octahedra, corners with four equivalent Co(2)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Co(1)O6 octahedra, and edges with two equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 51-52°. In the second Mn site, Mn(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form MnO6 octahedra that share corners with two equivalent Co(1)O6 octahedra, corners with four equivalent Ti(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra,  an edgeedge with one Ti(2)O6 octahedra, and edges with two equivalent Co(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-53°. There are two inequivalent Co sites. In the first Co site, Co(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form CoO6 octahedra that share corners with two equivalent Mn(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 Mn(1)O6 octahedra, and edges with four equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles are 48°. In the second Co site, Co(2) is bonded to one O(1), one O(10), one O(12), one O(5), one O(8), and one O(9) atom to form CoO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra,  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 Ti(2)O6 octahedra, edges with two equivalent Co(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-52°. There are twelve inequivalent O sites. In the first O site, O(1) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(2), one Mn(1), and one Co(2) atom. In the second O site, O(2) is bonded to one Li(4), two equivalent Ti(1), and one Mn(1) atom to form distorted OLiTi2Mn tetrahedra that share corners with two equivalent O(4)LiTi2Co tetrahedra, corners with two equivalent O(6)LiTiMnCo tetrahedra, and edges with two equivalent O(6)LiTiMnCo tetrahedra. In the third O site, O(3) is bonded in a rectangular see-saw-like geometry to one Li(1), two equivalent Ti(1), and one Co(1) atom. In the fourth O site, O(4) is bonded to one Li(3), two equivalent Ti(1), and one Co(1) atom to form distorted OLiTi2Co tetrahedra that share corners with two equivalent O(2)LiTi2Mn tetrahedra and corners with four equivalent O(6)LiTiMnCo tetrahedra. In the fifth O site, O(5) is bonded to one Li(2), one Ti(2), and two equivalent Co(2) atoms to form corner-sharing OLiTiCo2 tetrahedra. In the sixth O site, O(6) is bonded to one Li(4), one Ti(1), one Mn(1), and one Co(1) atom to form distorted OLiTiMnCo tetrahedra that share  a cornercorner with one O(2)LiTi2Mn tetrahedra,  a cornercorner with one O(6)LiTiMnCo tetrahedra, corners with two equivalent O(4)LiTi2Co tetrahedra,  an edgeedge with one O(2)LiTi2Mn tetrahedra, and  an edgeedge with one O(6)LiTiMnCo tetrahedra. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), two equivalent Ti(1), and one Mn(2) atom. In the eighth O site, O(8) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Mn(1), and two equivalent Co(2) atoms. In the ninth O site, O(9) is bonded in a distorted rectangular see-saw-like geometry to one Li(1), one Ti(2), one Mn(2), and one Co(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Ti(2), and two equivalent Co(2) atoms. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(1), one Mn(2), and one Co(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Mn(2), and two equivalent Co(2) atoms to form distorted corner-sharing OLiMnCo2 tetrahedra. is represented by the CIF file [CIF]
data_Li4Ti3Mn2Co3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.771
_cell_length_b   5.771
_cell_length_c   9.506
_cell_angle_alpha   89.316
_cell_angle_beta   89.316
_cell_angle_gamma   60.502
_symmetry_Int_Tables_number   1
_cell_volume   275.502
_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  0.327  0.327  0.888  1.0
  Li  Li1  1  0.018  0.018  0.990  1.0
  Li  Li2  1  0.009  0.009  0.500  1.0
  Li  Li3  1  0.663  0.663  0.402  1.0
  Ti  Ti4  1  0.168  0.667  0.214  1.0
  Ti  Ti5  1  0.667  0.168  0.214  1.0
  Ti  Ti6  1  0.825  0.825  0.715  1.0
  Mn  Mn7  1  0.332  0.332  0.491  1.0
  Mn  Mn8  1  0.660  0.660  0.982  1.0
  Co  Co9  1  0.176  0.176  0.217  1.0
  Co  Co10  1  0.340  0.824  0.710  1.0
  Co  Co11  1  0.824  0.340  0.710  1.0
  O  O12  1  0.163  0.667  0.597  1.0
  O  O13  1  0.480  0.480  0.344  1.0
  O  O14  1  0.340  0.340  0.103  1.0
  O  O15  1  0.007  0.007  0.314  1.0
  O  O16  1  0.999  0.999  0.804  1.0
  O  O17  1  0.667  0.163  0.597  1.0
  O  O18  1  0.041  0.477  0.345  1.0
  O  O19  1  0.477  0.041  0.345  1.0
  O  O20  1  0.842  0.842  0.108  1.0
  O  O21  1  0.167  0.167  0.601  1.0
  O  O22  1  0.511  0.954  0.840  1.0
  O  O23  1  0.954  0.511  0.840  1.0
  O  O24  1  0.664  0.664  0.603  1.0
  O  O25  1  0.332  0.840  0.106  1.0
  O  O26  1  0.508  0.508  0.822  1.0
  O  O27  1  0.840  0.332  0.106  1.0
[/CIF]
.