The material structure described by Li4Cr2Mn3Cu3O16 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 Mn(1)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cu(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Cu(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra, and corners with four equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Cu(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cu(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with four equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(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 Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Cu sites. In the first Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Cu(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 Cu site, Cu(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CuO6 octahedra that share corners with two equivalent Cr(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 Cr(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. 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 Cr(1), one Mn(2), and one Cu(2) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), and two equivalent Cu(1) atoms to form a mixture of distorted edge and corner-sharing OLiCrCu2 tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Mn(1), and two equivalent Cu(1) atoms to form distorted OLiMnCu2 trigonal pyramids that share corners with two equivalent O(9)LiMnCrCu tetrahedra, corners with three equivalent O(4)LiMnCu2 tetrahedra,  a cornercorner with one O(12)LiMn2Cr trigonal pyramid, and  an edgeedge with one O(2)LiCrCu2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Cu(1) atoms to form OLiMnCu2 tetrahedra that share corners with two equivalent O(2)LiCrCu2 tetrahedra and corners with three equivalent O(3)LiMnCu2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Cu(2) atom to form distorted OLiMn2Cu tetrahedra that share corners with four equivalent O(9)LiMnCrCu tetrahedra and corners with two equivalent O(12)LiMn2Cr trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Mn(1), and one Cu(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), and two equivalent Cu(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Mn(2), and one Cu(2) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(9)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cu tetrahedra,  a cornercorner with one O(12)LiMn2Cr trigonal pyramid,  a cornercorner with one O(3)LiMnCu2 trigonal pyramid,  an edgeedge with one O(9)LiMnCrCu tetrahedra, and  an edgeedge with one O(12)LiMn2Cr trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Cu(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Cu(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(2), and two equivalent Mn(2) atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with two equivalent O(5)LiMn2Cu tetrahedra, corners with two equivalent O(9)LiMnCrCu tetrahedra,  a cornercorner with one O(3)LiMnCu2 trigonal pyramid, and edges with two equivalent O(9)LiMnCrCu tetrahedra. is represented by the CIF file [CIF]
data_Li4Mn3Cr2Cu3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.873
_cell_length_b   5.805
_cell_length_c   9.437
_cell_angle_alpha   90.020
_cell_angle_beta   88.640
_cell_angle_gamma   119.577
_symmetry_Int_Tables_number   1
_cell_volume   279.723
_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  0.335  0.668  0.895  1.0
  Li  Li1  1  0.002  0.001  0.998  1.0
  Li  Li2  1  0.006  0.003  0.490  1.0
  Li  Li3  1  0.673  0.336  0.397  1.0
  Mn  Mn4  1  0.655  0.827  0.214  1.0
  Mn  Mn5  1  0.832  0.663  0.715  1.0
  Mn  Mn6  1  0.832  0.169  0.715  1.0
  Cr  Cr7  1  0.335  0.668  0.490  1.0
  Cr  Cr8  1  0.663  0.331  0.990  1.0
  Cu  Cu9  1  0.168  0.829  0.213  1.0
  Cu  Cu10  1  0.168  0.339  0.213  1.0
  Cu  Cu11  1  0.338  0.169  0.715  1.0
  O  O12  1  0.153  0.831  0.597  1.0
  O  O13  1  0.043  0.521  0.345  1.0
  O  O14  1  0.336  0.668  0.111  1.0
  O  O15  1  0.994  0.997  0.301  1.0
  O  O16  1  0.990  0.995  0.811  1.0
  O  O17  1  0.153  0.321  0.597  1.0
  O  O18  1  0.495  0.966  0.344  1.0
  O  O19  1  0.495  0.529  0.344  1.0
  O  O20  1  0.320  0.160  0.091  1.0
  O  O21  1  0.679  0.839  0.605  1.0
  O  O22  1  0.529  0.490  0.841  1.0
  O  O23  1  0.529  0.040  0.841  1.0
  O  O24  1  0.680  0.340  0.609  1.0
  O  O25  1  0.817  0.667  0.094  1.0
  O  O26  1  0.965  0.483  0.835  1.0
  O  O27  1  0.817  0.149  0.094  1.0
[/CIF]
.
The material structure described by Li4Cr2Mn3Cu3O16 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 Mn(1)O6 octahedra, corners with two equivalent Cu(1)O6 octahedra, corners with two equivalent Cu(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra, and corners with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 58-64°. In the second Li site, Li(2) is bonded to one O(5), one O(7), and two equivalent O(11) atoms to form distorted LiO4 tetrahedra that share  a cornercorner with one Cu(2)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(2)O6 octahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 57-66°. In the third Li site, Li(3) is bonded in a rectangular see-saw-like geometry to one O(4), one O(8), and two equivalent O(1) atoms. 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 Cu(2)O6 octahedra, corners with two equivalent Mn(1)O6 octahedra, corners with two equivalent Mn(2)O6 octahedra, corners with three equivalent Cr(1)O6 octahedra, and corners with four equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 56-63°. There are two inequivalent Cr sites. In the first Cr site, Cr(1) is bonded to one O(2), one O(8), two equivalent O(1), and two equivalent O(6) atoms to form CrO6 octahedra that share corners with two equivalent Cu(2)O6 octahedra, corners with four equivalent Mn(2)O6 octahedra, corners with three equivalent Li(4)O4 tetrahedra,  an edgeedge with one Mn(1)O6 octahedra, and edges with two equivalent Cu(1)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-55°. In the second Cr site, Cr(2) is bonded to one O(12), one O(7), two equivalent O(11), and two equivalent O(9) atoms to form CrO6 octahedra that share corners with two equivalent Mn(1)O6 octahedra, corners with four equivalent Cu(1)O6 octahedra, corners with three equivalent Li(1)O4 tetrahedra, corners with three equivalent Li(2)O4 tetrahedra,  an edgeedge with one Cu(2)O6 octahedra, and edges with two equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 48-54°. There are two inequivalent Mn sites. In the first Mn site, Mn(1) is bonded to one O(3), one O(4), two equivalent O(11), and two equivalent O(6) atoms to form MnO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with four equivalent Cu(1)O6 octahedra, and  an edgeedge with one Li(2)O4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. In the second Mn site, Mn(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 MnO6 octahedra that share corners with two equivalent Cr(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 Cr(2)O6 octahedra, edges with two equivalent Mn(2)O6 octahedra, and edges with two equivalent Cu(2)O6 octahedra. The corner-sharing octahedral tilt angles range from 50-51°. There are two inequivalent Cu sites. In the first Cu site, Cu(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 CuO6 octahedra that share corners with two equivalent Cr(2)O6 octahedra,  a cornercorner with one Li(1)O4 tetrahedra, corners with two equivalent Li(4)O4 tetrahedra,  an edgeedge with one Cr(1)O6 octahedra, edges with two equivalent Mn(1)O6 octahedra, edges with two equivalent Cu(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 Cu site, Cu(2) is bonded to one O(10), one O(5), two equivalent O(1), and two equivalent O(9) atoms to form CuO6 octahedra that share corners with two equivalent Cr(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 Cr(2)O6 octahedra, and edges with four equivalent Mn(2)O6 octahedra. The corner-sharing octahedral tilt angles are 55°. 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 Cr(1), one Mn(2), and one Cu(2) atom. In the second O site, O(2) is bonded to one Li(4), one Cr(1), and two equivalent Cu(1) atoms to form a mixture of distorted edge and corner-sharing OLiCrCu2 tetrahedra. In the third O site, O(3) is bonded to one Li(1), one Mn(1), and two equivalent Cu(1) atoms to form distorted OLiMnCu2 trigonal pyramids that share corners with two equivalent O(9)LiMnCrCu tetrahedra, corners with three equivalent O(4)LiMnCu2 tetrahedra,  a cornercorner with one O(12)LiMn2Cr trigonal pyramid, and  an edgeedge with one O(2)LiCrCu2 tetrahedra. In the fourth O site, O(4) is bonded to one Li(3), one Mn(1), and two equivalent Cu(1) atoms to form OLiMnCu2 tetrahedra that share corners with two equivalent O(2)LiCrCu2 tetrahedra and corners with three equivalent O(3)LiMnCu2 trigonal pyramids. In the fifth O site, O(5) is bonded to one Li(2), two equivalent Mn(2), and one Cu(2) atom to form distorted OLiMn2Cu tetrahedra that share corners with four equivalent O(9)LiMnCrCu tetrahedra and corners with two equivalent O(12)LiMn2Cr trigonal pyramids. In the sixth O site, O(6) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), one Cr(1), one Mn(1), and one Cu(1) atom. In the seventh O site, O(7) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), and two equivalent Cu(1) atoms. In the eighth O site, O(8) is bonded in a rectangular see-saw-like geometry to one Li(3), one Cr(1), and two equivalent Mn(2) atoms. In the ninth O site, O(9) is bonded to one Li(1), one Cr(2), one Mn(2), and one Cu(2) atom to form distorted OLiMnCrCu tetrahedra that share  a cornercorner with one O(9)LiMnCrCu tetrahedra, corners with two equivalent O(5)LiMn2Cu tetrahedra,  a cornercorner with one O(12)LiMn2Cr trigonal pyramid,  a cornercorner with one O(3)LiMnCu2 trigonal pyramid,  an edgeedge with one O(9)LiMnCrCu tetrahedra, and  an edgeedge with one O(12)LiMn2Cr trigonal pyramid. In the tenth O site, O(10) is bonded in a distorted rectangular see-saw-like geometry to one Li(4), two equivalent Mn(2), and one Cu(2) atom. In the eleventh O site, O(11) is bonded in a rectangular see-saw-like geometry to one Li(2), one Cr(2), one Mn(1), and one Cu(1) atom. In the twelfth O site, O(12) is bonded to one Li(1), one Cr(2), and two equivalent Mn(2) atoms to form distorted OLiMn2Cr trigonal pyramids that share corners with two equivalent O(5)LiMn2Cu tetrahedra, corners with two equivalent O(9)LiMnCrCu tetrahedra,  a cornercorner with one O(3)LiMnCu2 trigonal pyramid, and edges with two equivalent O(9)LiMnCrCu tetrahedra. is represented by the CIF file [CIF]
data_Li4Mn3Cr2Cu3O16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.873
_cell_length_b   5.805
_cell_length_c   9.437
_cell_angle_alpha   90.020
_cell_angle_beta   88.640
_cell_angle_gamma   119.577
_symmetry_Int_Tables_number   1
_cell_volume   279.723
_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  0.335  0.668  0.895  1.0
  Li  Li1  1  0.002  0.001  0.998  1.0
  Li  Li2  1  0.006  0.003  0.490  1.0
  Li  Li3  1  0.673  0.336  0.397  1.0
  Mn  Mn4  1  0.655  0.827  0.214  1.0
  Mn  Mn5  1  0.832  0.663  0.715  1.0
  Mn  Mn6  1  0.832  0.169  0.715  1.0
  Cr  Cr7  1  0.335  0.668  0.490  1.0
  Cr  Cr8  1  0.663  0.331  0.990  1.0
  Cu  Cu9  1  0.168  0.829  0.213  1.0
  Cu  Cu10  1  0.168  0.339  0.213  1.0
  Cu  Cu11  1  0.338  0.169  0.715  1.0
  O  O12  1  0.153  0.831  0.597  1.0
  O  O13  1  0.043  0.521  0.345  1.0
  O  O14  1  0.336  0.668  0.111  1.0
  O  O15  1  0.994  0.997  0.301  1.0
  O  O16  1  0.990  0.995  0.811  1.0
  O  O17  1  0.153  0.321  0.597  1.0
  O  O18  1  0.495  0.966  0.344  1.0
  O  O19  1  0.495  0.529  0.344  1.0
  O  O20  1  0.320  0.160  0.091  1.0
  O  O21  1  0.679  0.839  0.605  1.0
  O  O22  1  0.529  0.490  0.841  1.0
  O  O23  1  0.529  0.040  0.841  1.0
  O  O24  1  0.680  0.340  0.609  1.0
  O  O25  1  0.817  0.667  0.094  1.0
  O  O26  1  0.965  0.483  0.835  1.0
  O  O27  1  0.817  0.149  0.094  1.0
[/CIF]
.