The material described by Li4Ti2Cr3Mn3O16 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 Mn(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-67°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. 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 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(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 Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-54°. 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 Ti(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 Ti(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 Ti(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 Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Ti(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 Ti(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are three inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(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 Ti(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 49-50°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(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 Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-52°. In the third Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(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 Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-56°. 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 Ti(1), one Cr(3), and one Mn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Cr(1), and one Cr(2) atom to form distorted OLiTiCr2 tetrahedra that share  a cornercorner with one O(8)LiTiMnCr tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(7)LiTiMnCr trigonal pyramid,  an edgeedge with one O(8)LiTiMnCr tetrahedra,  an edgeedge with one O(3)LiMnCr2 trigonal pyramid, and  an edgeedge with one O(7)LiTiMnCr trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share  a cornercorner with one O(11)LiTiMnCr tetrahedra,  a cornercorner with one O(12)LiTiMnCr tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(15)LiTiMn2 trigonal pyramid,  an edgeedge with one O(2)LiTiCr2 tetrahedra,  an edgeedge with one O(8)LiTiMnCr tetrahedra, and  an edgeedge with one O(7)LiTiMnCr trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiTiCr2 tetrahedra, corners with two equivalent O(8)LiTiMnCr tetrahedra, corners with two equivalent O(7)LiTiMnCr trigonal pyramids, and corners with three equivalent O(3)LiMnCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Mn(2), and one Mn(3) atom to form OLiMn2Cr tetrahedra that share corners with two equivalent O(11)LiTiMnCr tetrahedra, corners with two equivalent O(12)LiTiMnCr tetrahedra, and corners with two equivalent O(15)LiTiMn2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Cr(3), and one Mn(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Cr(1), and one Mn(1) atom to form distorted OLiTiMnCr trigonal pyramids that share  a cornercorner with one O(2)LiTiCr2 tetrahedra,  a cornercorner with one O(8)LiTiMnCr tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiTiCr2 tetrahedra,  an edgeedge with one O(8)LiTiMnCr tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one Cr(2), and one Mn(1) atom to form distorted OLiTiMnCr tetrahedra that share  a cornercorner with one O(2)LiTiCr2 tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(7)LiTiMnCr trigonal pyramid,  an edgeedge with one O(2)LiTiCr2 tetrahedra,  an edgeedge with one O(3)LiMnCr2 trigonal pyramid, and  an edgeedge with one O(7)LiTiMnCr trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Cr(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Mn(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one Cr(3), and one Mn(2) atom to form distorted OLiTiMnCr tetrahedra that share  a cornercorner with one O(12)LiTiMnCr tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  a cornercorner with one O(15)LiTiMn2 trigonal pyramid,  an edgeedge with one O(12)LiTiMnCr tetrahedra, and  an edgeedge with one O(15)LiTiMn2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one Cr(3), and one Mn(3) atom to form distorted OLiTiMnCr tetrahedra that share  a cornercorner with one O(11)LiTiMnCr tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  a cornercorner with one O(15)LiTiMn2 trigonal pyramid,  an edgeedge with one O(11)LiTiMnCr tetrahedra, and  an edgeedge with one O(15)LiTiMn2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(3), one Mn(2), and one Mn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Mn(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one Mn(2), and one Mn(3) atom to form distorted OLiTiMn2 trigonal pyramids that share  a cornercorner with one O(11)LiTiMnCr tetrahedra,  a cornercorner with one O(12)LiTiMnCr tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(11)LiTiMnCr tetrahedra, and  an edgeedge with one O(12)LiTiMnCr tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(2), and one Mn(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti2Mn3Cr3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.870
_cell_length_b   5.889
_cell_length_c   9.480
_cell_angle_alpha   90.968
_cell_angle_beta   89.898
_cell_angle_gamma   119.374
_symmetry_Int_Tables_number   1
_cell_volume   285.502
_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  0.334  0.679  0.102  1.0
  Li  Li1  1  0.999  0.998  0.005  1.0
  Li  Li2  1  0.004  0.993  0.505  1.0
  Li  Li3  1  0.663  0.338  0.605  1.0
  Ti  Ti4  1  0.335  0.660  0.506  1.0
  Ti  Ti5  1  0.666  0.336  0.004  1.0
  Mn  Mn6  1  0.168  0.827  0.784  1.0
  Mn  Mn7  1  0.830  0.657  0.284  1.0
  Mn  Mn8  1  0.339  0.171  0.286  1.0
  Cr  Cr9  1  0.660  0.830  0.786  1.0
  Cr  Cr10  1  0.170  0.340  0.786  1.0
  Cr  Cr11  1  0.828  0.167  0.285  1.0
  O  O12  1  0.668  0.830  0.403  1.0
  O  O13  1  0.476  0.519  0.658  1.0
  O  O14  1  0.329  0.675  0.893  1.0
  O  O15  1  0.002  0.994  0.692  1.0
  O  O16  1  0.002  0.988  0.193  1.0
  O  O17  1  0.167  0.327  0.407  1.0
  O  O18  1  0.471  0.960  0.661  1.0
  O  O19  1  0.037  0.523  0.663  1.0
  O  O20  1  0.836  0.171  0.908  1.0
  O  O21  1  0.148  0.801  0.408  1.0
  O  O22  1  0.962  0.482  0.164  1.0
  O  O23  1  0.518  0.047  0.158  1.0
  O  O24  1  0.665  0.343  0.391  1.0
  O  O25  1  0.842  0.668  0.901  1.0
  O  O26  1  0.546  0.512  0.151  1.0
  O  O27  1  0.334  0.164  0.904  1.0
[/CIF]
.
The material described by Li4Ti2Cr3Mn3O16 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 Mn(1)O6 octahedra, corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, and corners with three equivalent Ti(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-67°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with three equivalent Ti(2)O6 octahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-67°. 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 tetrahedra that share  a cornercorner with one Cr(1)O6 octahedra,  a cornercorner with one Cr(2)O6 octahedra,  a cornercorner with one Mn(1)O6 octahedra, corners with three equivalent Ti(1)O6 octahedra,  an edgeedge with one Cr(3)O6 octahedra,  an edgeedge with one Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. 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 Mn(2)O6 octahedra,  a cornercorner with one Mn(3)O6 octahedra, corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, and corners with three equivalent Ti(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Ti sites. In the first Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(3)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with two equivalent Mn(3)O6 octahedra, corners with three equivalent Li(3)O4 tetrahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra,  an edgeedge with one Cr(2)O6 octahedra, and  an edgeedge with one Mn(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 44-56°. In the second Ti site, Ti(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 TiO6 octahedra that share corners with two equivalent Cr(1)O6 octahedra, corners with two equivalent Cr(2)O6 octahedra, corners with two equivalent Mn(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 Mn(2)O6 octahedra, and  an edgeedge with one Mn(3)O6 octahedra. The corner-sharing octahedral tilt angles range from 49-54°. 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 Ti(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 Ti(1)O6 octahedra, edges with two equivalent Cr(2)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-54°. 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 Ti(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 Ti(1)O6 octahedra, edges with two equivalent Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 51-53°. 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 Ti(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 Ti(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 50-52°. There are three inequivalent Mn sites. In the first Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(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 Ti(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 49-50°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(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 Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(3)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 44-52°. In the third Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Ti(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 Ti(2)O6 octahedra, edges with two equivalent Cr(3)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and  an edgeedge with one Li(3)O4 tetrahedra. The corner-sharing octahedral tilt angles range from 53-56°. 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 Ti(1), one Cr(3), and one Mn(2) atom. In the second O site, O(2) is bonded to one Li(4), one Ti(1), one Cr(1), and one Cr(2) atom to form distorted OLiTiCr2 tetrahedra that share  a cornercorner with one O(8)LiTiMnCr tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(7)LiTiMnCr trigonal pyramid,  an edgeedge with one O(8)LiTiMnCr tetrahedra,  an edgeedge with one O(3)LiMnCr2 trigonal pyramid, and  an edgeedge with one O(7)LiTiMnCr trigonal pyramid. In the third O site, O(3) is bonded to one Li(1), one Cr(1), one Cr(2), and one Mn(1) atom to form distorted OLiMnCr2 trigonal pyramids that share  a cornercorner with one O(11)LiTiMnCr tetrahedra,  a cornercorner with one O(12)LiTiMnCr tetrahedra, corners with three equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(15)LiTiMn2 trigonal pyramid,  an edgeedge with one O(2)LiTiCr2 tetrahedra,  an edgeedge with one O(8)LiTiMnCr tetrahedra, and  an edgeedge with one O(7)LiTiMnCr trigonal pyramid. In the fourth O site, O(4) is bonded to one Li(3), one Cr(1), one Cr(2), and one Mn(1) atom to form OLiMnCr2 tetrahedra that share corners with two equivalent O(2)LiTiCr2 tetrahedra, corners with two equivalent O(8)LiTiMnCr tetrahedra, corners with two equivalent O(7)LiTiMnCr trigonal pyramids, and corners with three equivalent O(3)LiMnCr2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), one Cr(3), one Mn(2), and one Mn(3) atom to form OLiMn2Cr tetrahedra that share corners with two equivalent O(11)LiTiMnCr tetrahedra, corners with two equivalent O(12)LiTiMnCr tetrahedra, and corners with two equivalent O(15)LiTiMn2 trigonal pyramids. In the sixth O site, O(6) is bonded in a rectangular see-saw-like geometry to one Li(3), one Ti(1), one Cr(3), and one Mn(3) atom. In the seventh O site, O(7) is bonded to one Li(4), one Ti(1), one Cr(1), and one Mn(1) atom to form distorted OLiTiMnCr trigonal pyramids that share  a cornercorner with one O(2)LiTiCr2 tetrahedra,  a cornercorner with one O(8)LiTiMnCr tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  an edgeedge with one O(2)LiTiCr2 tetrahedra,  an edgeedge with one O(8)LiTiMnCr tetrahedra, and  an edgeedge with one O(3)LiMnCr2 trigonal pyramid. In the eighth O site, O(8) is bonded to one Li(4), one Ti(1), one Cr(2), and one Mn(1) atom to form distorted OLiTiMnCr tetrahedra that share  a cornercorner with one O(2)LiTiCr2 tetrahedra, corners with two equivalent O(4)LiMnCr2 tetrahedra,  a cornercorner with one O(7)LiTiMnCr trigonal pyramid,  an edgeedge with one O(2)LiTiCr2 tetrahedra,  an edgeedge with one O(3)LiMnCr2 trigonal pyramid, and  an edgeedge with one O(7)LiTiMnCr trigonal pyramid. In the ninth O site, O(9) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Cr(2) atom. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(3), one Ti(1), one Mn(2), and one Mn(3) atom. In the eleventh O site, O(11) is bonded to one Li(1), one Ti(2), one Cr(3), and one Mn(2) atom to form distorted OLiTiMnCr tetrahedra that share  a cornercorner with one O(12)LiTiMnCr tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  a cornercorner with one O(15)LiTiMn2 trigonal pyramid,  an edgeedge with one O(12)LiTiMnCr tetrahedra, and  an edgeedge with one O(15)LiTiMn2 trigonal pyramid. In the twelfth O site, O(12) is bonded to one Li(1), one Ti(2), one Cr(3), and one Mn(3) atom to form distorted OLiTiMnCr tetrahedra that share  a cornercorner with one O(11)LiTiMnCr tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  a cornercorner with one O(15)LiTiMn2 trigonal pyramid,  an edgeedge with one O(11)LiTiMnCr tetrahedra, and  an edgeedge with one O(15)LiTiMn2 trigonal pyramid. In the thirteenth O site, O(13) is bonded in a rectangular see-saw-like geometry to one Li(4), one Cr(3), one Mn(2), and one Mn(3) atom. In the fourteenth O site, O(14) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(1), and one Mn(1) atom. In the fifteenth O site, O(15) is bonded to one Li(1), one Ti(2), one Mn(2), and one Mn(3) atom to form distorted OLiTiMn2 trigonal pyramids that share  a cornercorner with one O(11)LiTiMnCr tetrahedra,  a cornercorner with one O(12)LiTiMnCr tetrahedra, corners with two equivalent O(5)LiMn2Cr tetrahedra,  a cornercorner with one O(3)LiMnCr2 trigonal pyramid,  an edgeedge with one O(11)LiTiMnCr tetrahedra, and  an edgeedge with one O(12)LiTiMnCr tetrahedra. In the sixteenth O site, O(16) is bonded in a rectangular see-saw-like geometry to one Li(2), one Ti(2), one Cr(2), and one Mn(1) atom. is represented by the Crystallographic Information File (CIF) [CIF]
data_Li4Ti2Mn3Cr3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.870
_cell_length_b   5.889
_cell_length_c   9.480
_cell_angle_alpha   90.968
_cell_angle_beta   89.898
_cell_angle_gamma   119.374
_symmetry_Int_Tables_number   1
_cell_volume   285.502
_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  0.334  0.679  0.102  1.0
  Li  Li1  1  0.999  0.998  0.005  1.0
  Li  Li2  1  0.004  0.993  0.505  1.0
  Li  Li3  1  0.663  0.338  0.605  1.0
  Ti  Ti4  1  0.335  0.660  0.506  1.0
  Ti  Ti5  1  0.666  0.336  0.004  1.0
  Mn  Mn6  1  0.168  0.827  0.784  1.0
  Mn  Mn7  1  0.830  0.657  0.284  1.0
  Mn  Mn8  1  0.339  0.171  0.286  1.0
  Cr  Cr9  1  0.660  0.830  0.786  1.0
  Cr  Cr10  1  0.170  0.340  0.786  1.0
  Cr  Cr11  1  0.828  0.167  0.285  1.0
  O  O12  1  0.668  0.830  0.403  1.0
  O  O13  1  0.476  0.519  0.658  1.0
  O  O14  1  0.329  0.675  0.893  1.0
  O  O15  1  0.002  0.994  0.692  1.0
  O  O16  1  0.002  0.988  0.193  1.0
  O  O17  1  0.167  0.327  0.407  1.0
  O  O18  1  0.471  0.960  0.661  1.0
  O  O19  1  0.037  0.523  0.663  1.0
  O  O20  1  0.836  0.171  0.908  1.0
  O  O21  1  0.148  0.801  0.408  1.0
  O  O22  1  0.962  0.482  0.164  1.0
  O  O23  1  0.518  0.047  0.158  1.0
  O  O24  1  0.665  0.343  0.391  1.0
  O  O25  1  0.842  0.668  0.901  1.0
  O  O26  1  0.546  0.512  0.151  1.0
  O  O27  1  0.334  0.164  0.904  1.0
[/CIF]
.